(5)/(x+6)=(7)/(5x+30)-2 If there is more than one solution, separate If there is no solution, click on "No solution" x

Answers

Answer 1

The solutions are x ≈ -2.744 and x ≈ -17.106.

To solve this equation, we need to get rid of the fractions by multiplying each term by the least common multiple (LCM) of the denominators. The LCM of x+6 and 5x+30 is (x+6)(5x+30).

Multiplying each term by the LCM gives us:
(5)(x+6)(5x+30)/(x+6) = (7)(x+6)(5x+30)/(5x+30) - 2(x+6)(5x+30)

Simplifying the fractions and distributing the terms gives us:
5(5x+30) = 7(x+6) - 2(x+6)(5x+30)

Expanding and simplifying the terms gives us:
25x + 150 = 7x + 42 - 10x^2 - 180x - 360

Combining like terms and rearranging gives us:
10x^2 + 198x + 468 = 0

Using the quadratic formula, we can find the values of x:
x = (-198 ± √(198^2 - 4(10)(468)))/(2(10))

Simplifying gives us:
x = (-198 ± √(39204 - 18720))/(20)

x = (-198 ± √20484)/(20)

x = (-198 ± 143.126)/(20)

The two solutions for x are:
x = (-198 + 143.126)/(20) ≈ -2.744
x = (-198 - 143.126)/(20) ≈ -17.106

To know more about solutions click on below link:

https://brainly.com/question/28221626#

#SPJ11


Related Questions

One number is 8 less than twice a second number. Find a pair of such numbers so that their product is as small as possible. These two numbers are ____. (Use a comma to separate your numbers.)
The smallest possible product is ____.

Answers

These two numbers are -4, 2. The smallest possible product is -8.

To find a pair of numbers that satisfy the given conditions, we can use algebra. Let x be the first number and y be the second number. According to the problem, one number is 8 less than twice a second number. This can be written as:
x = 2y - 8
We need to find the product of these two numbers, which is x*y. Substituting the value of x from the equation above, we get:
x*y = (2y - 8)*y
= 2y^2 - 8y
To find the smallest possible product, we need to minimize this expression. We can do this by finding the vertex of the parabola represented by this equation. The vertex of a parabola in the form ax^2 + bx + c is given by (-b/2a, f(-b/2a)). In this case, a = 2, b = -8, and c = 0. So, the vertex is:
(-b/2a, f(-b/2a)) = (-(-8)/(2*2), f(-(-8)/(2*2)))
= (2, f(2))
Substituting y = 2 into the equation for the product, we get:
x*y = 2(2)^2 - 8(2)
= 8 - 16
= -8
So, the smallest possible product is -8. To find the pair of numbers that give this product, we can substitute y = 2 into the equation for x:
x = 2y - 8
= 2(2) - 8
= -4
Therefore, the pair of numbers are -4 and 2.

You can learn more about pair of numbers at: brainly.com/question/16823918

#SPJ11

A soccer player scores 3 goals in 2 games.How many goals are they expected to score in 9 games?

Answers

Answer: I could be wrong but its either going to be 13.5 or 13.

Step-by-step explanation:

Answer:

13.5 goals

Step-by-step explanation:

We can use a ratio to solve

3 goals                   x

---------------  = -------------

2 games            9 games

Using cross products

3 * 9 = 2x

27 = 2x

Divide each side by 2

27/2 = x

13.5 goals

You are holding a kite string in your hand. The angle of elevation from your hand to the kite is 40° and the distance to the kite is 289 feet. Your hand is 4 feet above the ground. How high is the kite? Round your answer to the nearest tenth of a foot.
Please help (will give brainiest)

Answers

Answer:

The height of the kite from the ground nearest to the tenth will be 443.6 feet.

Step-by-step explanation:

293 feet is how high you are rounded to the nearest tenth would mean you’re 290

Let P be the poset with vertices {A,B,C,D,E,F,G,H}, and comparisons A≤B≤C≤D≤E, F≤D, G≤H≤D, along with all reflexive comparisons V≤V for every vertex V, and all transitive comparisons formed from these (for example, A≤C, since A≤B and B≤C; or F≤E, since F≤D and D≤E). How many linear extensions does the poset P have?

Answers

The final answer is 16 - 1 = 15 linear extensions of the poset P.

The poset P has 8 linear extensions. We can determine the number of linear extensions by counting the number of topological sorts of the poset. A topological sort of a poset is a linear ordering of its vertices that respects the partial ordering. There are two ways to obtain a topological sort of the poset P:

1. Start with vertex A, then choose either B or F, then choose either C or G, then choose either D or H, and finally choose E. This gives us a total of 2 x 2 x 2 x 1 = 8 topological sorts.

2. Start with vertex F, then choose either A or G, then choose either B or H, then choose either C or D, and finally choose E. This also gives us a total of 2 x 2 x 2 x 1 = 8 topological sorts.

Therefore, the total number of linear extensions of the poset P is 8 + 8 = 16.

However, we need to subtract the number of topological sorts that are counted twice. These are the topological sorts that start with A, then choose F, then choose G, then choose H, and finally choose E. There are 1 x 1 x 1 x 1 x 1 = 1 of these topological sorts.

So the final answer is 16 - 1 = 15 linear extensions of the poset P.

Know more about poset P here:

https://brainly.com/question/29102602

#SPJ11

If h(w)=36w^(5)+36w^(4)+7w^(2)+12w+39, use synthetic division to find h(-1) Submit

Answers

Using synthetic division, we can find that h(-1) = -5.

To find h(-1) using synthetic division, we can use the following steps:

Write the coefficients of the polynomial in descending order of the exponents: 36, 36, 0, 7, 12, 39
Write the value of -1 to the left of the coefficients: -1 | 36 36 0 7 12 39
Bring down the first coefficient: -1 | 36 36 0 7 12 39
         36
Multiply the first coefficient by -1 and write the result under the second coefficient: -1 | 36 36 0 7 12 39
         36 -36
Add the second coefficient and the result: -1 | 36 36 0 7 12 39
         36   0
Repeat steps 4 and 5 for the remaining coefficients: -1 | 36 36 0 7 12 39
         36   0  0 -7 -5
The last number in the bottom row is the remainder, which is the value of h(-1): h(-1) = -5

Therefore, using synthetic division, we can find that h(-1) = -5.

Learn more about synthetic division

brainly.com/question/28824872

#SPJ11

TOFAS A testing tofaseducation Please do the following calculation. need to simplify your answer. (+(13)/(18))+(-(1)/(3))

Answers

The expression is (+(13)/(18))+(-(1)/(3)). To simplify this expression, we need to combine like terms. First, we can combine the fractions with different denominators. The LCD (Least Common Denominator) for this expression is 18. Therefore, we need to convert each fraction to an equivalent fraction with a denominator of 18.

For the first fraction, (+(13)/(18)), 13/18 can be reduced to 1/2. To get this, multiply both the numerator and denominator by 2, resulting in 13/18 = 2/4 = 1/2.

For the second fraction, +(-(1)/(3)), 1/3 can be reduced to 6/18. To get this, multiply both the numerator and denominator by 6, resulting in 1/3 = 6/18.

Now that all the fractions have a common denominator, we can add the two fractions together. 1/2 + 6/18 = 8/18. Therefore, the simplified form of the expression is 8/18.

To learn more about Least Common Denominator from given link

https://brainly.com/question/30797045

#SPJ11

Which equation shows the volume of the rectangular prism as a product of its edge lengths?

Answers

The equation that shows the volume of the rectangular prism as a product of its edge lengths is (5/3)(1/3)(2/3) = 10/27 in cube. Option 2 is the correct answer.

What is volume and how to calculate it?

The quantity of space within a three-dimensional object is its volume. The fundamentals of such forms are described in our page on three-dimensional shapes. Calculating volume is probably not something you will do as frequently as calculating area in the real world.

Even so, it may still be significant. Knowing how to calculate volume will help you determine things like how much room you have for packing when moving house, how much room you need for an office, or how much jam you can put into a jar. It can also be helpful for deciphering what the media means when they discuss a dam's capacity or a river's flow.

The volume of the rectangular prims is given by the formula:

V = lwh

Substituting the values we have:

V = (5/3)(1/3)(2/3) = 10/27

Hence, the equation that shows the volume of the rectangular prism as a product of its edge lengths is (5/3)(1/3)(2/3) = 10/27 in cube. Option 2 is the correct answer.

Learn more about volume here:

https://brainly.com/question/30347304

#SPJ1

Determine if the vectors are linearly independent. Justify your answer. [[4],[0],[0]],[[9],[3],[-6]],[[6],[6],[-18]]

Answers

The vectors [[4],[0],[0]],[[9],[3],[-6]],[[6],[6],[-18]] are linearly independent.

To determine if the vectors are linearly independent, we can use the determinant of the matrix formed by the vectors. If the determinant is not equal to 0, then the vectors are linearly independent.

The matrix formed by the vectors is:
\begin{bmatrix}
4 & 9 & 6\\
0 & 3 & 6\\
0 & -6 & -18
\end{bmatrix}

The determinant of this matrix is:
\begin{vmatrix}
4 & 9 & 6\\
0 & 3 & 6\\
0 & -6 & -18
\end{vmatrix} = 4\begin{vmatrix}
3 & 6\\
-6 & -18
\end{vmatrix} - 9\begin{vmatrix}
0 & 6\\
0 & -18
\end{vmatrix} + 6\begin{vmatrix}
0 & 3\\
0 & -6
\end{vmatrix} = 4(-54-(-36)) - 9(0-0) + 6(0-0) = 4(-18) = -72

Since the determinant is not equal to 0, the vectors are linearly independent. Therefore, the vectors [[4],[0],[0]],[[9],[3],[-6]],[[6],[6],[-18]] are linearly independent.

Learn about Vectors

brainly.com/question/29740341

#SPJ11

There are 15 sacks of rice in a van. If each sacks weight 110kg, what is the total weight of all sacks

Answers

Answer:

Step-by-step explanation:

So all that you have to do is just multiply 15 by 110kg and you'll get a answer of 1500kg total.

x=-4y-23
2x+2y=-4
solve using linear combination method

Answers

Answer:

(5,7)



x = 5

y = 7

The ratio of 1 Bertha to form 1 Florence is 12:20 if there are 120 pupils in Florence calculate how many pupils are in Bertha

Answers

There are 72 pupils in bertha if the ratio of 1 Bertha to form 1 Florence is 12:20 if there are 120 pupils in Florence.

The problem can be solved by using the concept of ratios and inverse ratios. It involves setting up a proportion based on the given ratio and using algebra to solve for the unknown quantity.

If the ratio of Bertha to Florence is 12:20, then the ratio of Florence to Bertha is 20:12 (inverse ratio).

Let the number of pupils in Bertha be x. Then, the number of pupils in Florence would be:

20/12 * x = 120

Simplifying:

x = 120 * 12/20

x = 72

Therefore, there are 72 pupils in Bertha.

Learn more about ratios:

https://brainly.com/question/30332645

#SPJ4

Determine whether or not the given vectors in R" form a basis for R". V1 =(0,0,2), V2 =(5,2,9), V3 =(7,2,11)

Answers

To determine whether the given vectors in $\mathbb{R}^3$ form a basis for $\mathbb{R}^3$, we need to check if they are linearly independent and span $\mathbb{R}^3$.

To check for linear independence, we set up the augmented matrix:

[

0

5

7

0

0

2

2

0

2

9

11

0

]

 

0

0

2

 

5

2

9

 

7

2

11

 

0

0

0

We reduce this to echelon form:

[

1

0

2

0

0

1

1

0

0

0

0

0

]

 

1

0

0

 

0

1

0

2

1

0

0

0

0

 

Since there is a row of zeros, the rank of the matrix is less than 3, which means the vectors are linearly dependent.

Therefore, the given vectors do not form a basis for $\mathbb{R}^3$.

For more questions like vectors visit the link below:

https://brainly.com/question/15187504

#SPJ11

An ant crawls 12 feet in 10 minutes. How far can it crawl in 20 minutes and in 30 minutes?

Answers

Answer:

We can use the given information to find the ant's crawling speed and then use that to calculate how far it can crawl in a given amount of time.

The ant crawls 12 feet in 10 minutes, so its crawling speed is:

12 feet / 10 minutes = 1.2 feet/minute

To find how far the ant can crawl in 20 minutes, we can multiply its crawling speed by the time:

Distance in 20 minutes = crawling speed x time

Distance in 20 minutes = 1.2 feet/minute x 20 minutes

Distance in 20 minutes = 24 feet

Therefore, the ant can crawl 24 feet in 20 minutes.

To find how far the ant can crawl in 30 minutes, we can use the same formula:

Distance in 30 minutes = crawling speed x time

Distance in 30 minutes = 1.2 feet/minute x 30 minutes

Distance in 30 minutes = 36 feet

Therefore, the ant can crawl 36 feet in 30 minutes.

Answer:

20 mins=24 feet

30 mins=36 feet

Step-by-step explanation:

if 12 feet = 10 mins and 10 times 2 = 20 then 12 times 2 =24

same for 30 mins.

10 times 3= 30 then 12 times 3= 36

y is directly proportionalto the cube root of (x+3) when x=5 y(2)/(3 ) find y when x=24

Answers

when x=24, y = y(3)/(2).

Given that y is directly proportional to the cube root of (x+3), we can write this relationship as:

y = k * cube root (x+3)

Where k is the constant of proportionality. We can use the given values of x and y to find k:

y(2)/(3 ) = k * cube root (5+3)

y(2)/(3 ) = k * cube root (8)

y(2)/(3 ) = k * 2

k = y(2)/(3 ) / 2

Now we can use this value of k to find y when x=24:

y = k * cube root (24+3)

y = (y(2)/(3 ) / 2) * cube root (27)

y = (y(2)/(3 ) / 2) * 3

y = y(2)/(3 ) * (3/2)

y = y(3)/(2)

Therefore, when x=24, y = y(3)/(2).

Learn more about cube root

brainly.com/question/30038389

#SPJ11

Directions
Math-Alg.F-IF.6 Standard Review (copy)
1
The function f(x) contains the set of points {(-2,4), (-1,8), (0, 12), (1, 15), (2, 18)} over the interval [-2,2].
What is the average rate of change of f(x) over the interval [0, 2]?

Answers

Check the picture below.

[tex]\begin{array}{llll} f(x)~from\\\\ x_1 ~~ to ~~ x_2 \end{array}~\hfill slope = m \implies \cfrac{ \stackrel{rise}{f(x_2) - f(x_1)}}{ \underset{run}{x_2 - x_1}}\impliedby \begin{array}{llll} average~rate\\ of~change \end{array} \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} x_1=0\\ x_2=2 \end{cases}\implies \cfrac{f(2)-f(0)}{2 - 0}\implies \cfrac{18-12}{2}\implies \cfrac{6}{2}\implies \text{\LARGE 3}[/tex]

Suppose a golf club company has designed a new club, which it claims will allow a professional golfer to make a hole in 120% of the time and an amateur golfer 10% of the time. Professional an amateur golfers sign up to play 5 games of 18 holes each

Answers

A professional golfer to make about 40.7 holes over 5 rounds of golf with the new club, while an amateur golfer would only make about 1.6.

First, let's define some variables to represent the probabilities of making a hole for a professional golfer and an amateur golfer:

Let p be the probability that a professional golfer makes a hole with the new club.

Let q be the probability that an amateur golfer makes a hole with the new club.

According to the company's claims, we know that:

p = 1.2q (since the professional golfer makes a hole 120% of the time, which is 1.2 times the probability of the amateur golfer making a hole)

Next, we need to determine the probability of each golfer making a hole during one round of golf, which consists of 18 holes. Let's assume that each hole is independent of the others, meaning that the outcome of one hole does not affect the outcome of another. In that case, the probability of making at least one hole in a round can be calculated using the complement rule:

The probability that a professional golfer makes at least one hole in a round is 1 minus the probability that the golfer misses every hole: [tex]1 - (1-p)^{18} .[/tex]

The probability that an amateur golfer makes at least one hole in a round is[tex]1 - (1-q)^{18} .[/tex]

Now, let's use these probabilities to calculate the expected number of holes each golfer will make in 5 rounds of golf:

The expected number of holes made by a professional golfer in 5 rounds is 5 times the expected number of holes made in one round, which is [tex](1 - (1-p)^{18} )\times18.[/tex]

The expected number of holes made by an amateur golfer in 5 rounds is 5 times the expected number of holes made in one round, which is [tex](1 - (1-q)^{18} )\times18.[/tex]

We can simplify these expressions using the relationship between p and q:

The expected number of holes made by a professional golfer in 5 rounds is [tex]518(1 - (1-1.2q)^{18} ).[/tex]

The expected number of holes made by an amateur golfer in 5 rounds is [tex]518(1 - (1-q)^{18} ).[/tex]

We can now evaluate these expressions using the values of p and q:

[tex]p = 1.2q, so q = p/1.2[/tex]

Substituting this into the expressions above, we get:

The expected number of holes made by a professional golfer in 5 rounds is[tex]518(1 - (1-1.2(p/1.2))^{18} ) = 518(1 - (1-p)^{18} ).[/tex]

The expected number of holes made by an amateur golfer in 5 rounds is [tex]518(1 - (1-p/1.2)^{18} ).[/tex]

Finally, we can evaluate these expressions using the given probabilities:

The expected number of holes made by a professional golfer in 5 rounds is[tex]518(1 - (1-1.2q)^{18} ) = 518(1 - (1-1.2(0.1))^{18} ) = 40.7.[/tex]

The expected number of holes made by an amateur golfer in 5 rounds is [tex]518(1 - (1-q)^{18} ) = 518(1 - (1-0.1/1.2)^{18} ) = 1.6.[/tex]

So according to these calculations, we would expect a professional golfer to make about 40.7 holes over 5 rounds of golf with the new club, while an amateur golfer would only make about 1.6

for such more question on probability

https://brainly.com/question/24756209

#SPJ4

From a population that is normally distributed with unknown mean µ and a standard deviation of 1.25, a sample of size 36 is taken.
(i) What is the standard error of the sample mean? (2 marks)
(ii) What is the probability that the sample mean is within 0.5 units of the population mean? (4 marks)
(iii) How large a sample size must we take to be 98% confident that the sample mean is within one-half of the population mean? (4 marks)

Answers

Thhe standard error of the sample mean is 0.208333.  The probability that the sample mean is within 0.5 units of the population mean is 0.9918. We need to take a sample size of at least 7 to be 98% confident that the sample mean is within one-half of the population mean.

(i) The standard error of the sample mean is calculated by dividing the standard deviation of the population by the square root of the sample size. In this case, the standard error of the sample mean is 1.25 / √36 = 1.25 / 6 = 0.208333.

(ii) To find the probability that the sample mean is within 0.5 units of the population mean, we need to use the standard normal distribution. We can find the z-score for 0.5 units away from the mean by dividing 0.5 by the standard error of the sample mean, which is 0.5 / 0.208333 = 2.4.

Using a standard normal table, we can find the probability that the sample mean is within 2.4 standard deviations of the population mean, which is 0.9918.


(iii) To be 98% confident that the sample mean is within one-half of the population mean, we need to find the sample size that corresponds to a z-score of 2.33 (the z-score for a 98% confidence interval). We can use the formula for the standard error of the sample mean to solve for the sample size:

0.5 = 1.25 / √n

√n = 1.25 / 0.5

n = (1.25 / 0.5)²

n = 6.25

Learn more about standard error at https://brainly.com/question/14301822

#SPJ11

16severings of a drink you need 8 scoops & 1gallon. You need to make 32 servings how many scoops and gallons do you need

Answers

Answer:

Step-by-step explanation:

based on the median of the samples, what is a reasonable estimate of the number of students that bike to school? Round to the nearest whole number based on the median of the samples, what is a reasonable estimate of the number of students that bike to school? Round to the nearest whole number based on the median of the samples, what is a reasonable estimate of the number of students that bike to school? Round to the nearest whole number8957647h3ny4y4y7

PLEASSEEEEE HELP = Standard deviation

Edwin conducted a survey to find the percentage of people in an area who smoked regularly. He defined the label “smoking regularly” for males smoking 30 or more cigarettes in a day and for females smoking 20 or more. Out of 635 persons who took part in the survey, 71 are labeled as people who smoke regularly.

What is the standard error for the sample proportion?

Answers

Step-by-step explanation:

The formula for the standard error of a proportion is:

SE = sqrt((p*(1-p))/n)

where p is the sample proportion and n is the sample size.

To find p, we need to first calculate the proportion of people who smoke regularly:

p = 71/635 = 0.1118

Now we can plug in the values for p and n:

SE = sqrt((0.1118*(1-0.1118))/635) = 0.0194

Therefore, the standard error for the sample proportion is 0.0194.

Find
x
to the nearest tenth of a degree. Show your work. Set up the trigonometric ratio for right triangles that you would use to find
x
. You are nor asked to find
x
. 3. a. b. 4 Approximate
x
to the nearest tenth of a degree. 5. Consider the following right triangle. Set up the trigonometric ratio for right triangles that you would use to find
x
. Then find
x

Answers

The approximate value of x to the nearest tenth of a degree is 36.9 degrees.

To find x to the nearest tenth of a degree, we can use trigonometric ratios for right triangles. First, we need to determine which trigonometric ratio to use based on the given information.

If we are given the opposite side and the adjacent side of the right triangle, we can use the tangent ratio:

tan(x) = opposite/adjacent

If we are given the opposite side and the hypotenuse, we can use the sine ratio:

sin(x) = opposite/hypotenuse

If we are given the adjacent side and the hypotenuse, we can use the cosine ratio:

cos(x) = adjacent/hypotenuse

Once we have determined the appropriate trigonometric ratio, we can plug in the given values and solve for x. To find x to the nearest tenth of a degree, we can use a calculator to find the approximate value of x and then round to the nearest tenth.

For example, if we are given a right triangle with an opposite side of 3 and an adjacent side of 4, we can use the tangent ratio to find x:

tan(x) = 3/4

x = tan^-1(3/4)

Using a calculator, we find that x is approximately 36.87 degrees. To the nearest tenth of a degree, x is approximately 36.9 degrees.

Therefore, the approximate value of x to the nearest tenth of a degree is 36.9 degrees.

Learn more about Trigonometric ratio for right triangles

brainly.com/question/30419678

#SPJ11

An electric utility company charges $24 per month maintenance fee to customers generating their own solar power, but refunds them $0.08{ per kilowatt-hour of net electricity returned to the grid.
How many kilowatt-hours per month does one have to return to the grid to break even (do not pay nor receive any money)? Round your answer to the nearest kilowatt-hour. Do not include units in your answer

Answers

300  kilowatt-hours per month does one have to return to the grid to break even.

To find out how many kilowatt-hours per month one has to return to the grid to break even, we need to set up an equation and solve for x, where x is the number of kilowatt-hours returned to the grid.

The equation would be:

24 = 0.08x

To solve for x, we need to isolate the variable on one side of the equation. We can do this by dividing both sides of the equation by 0.08:

24/0.08 = x

x = 300

Therefore, one would have to return 300 kilowatt-hours per month to the grid to break even.

To know more about kilowatt-hour click on below link:

https://brainly.com/question/15270559#

#SPJ11

please help me its so confusing

Answers

The total surface area of the cube is 3.84 m². The solution has been obtained by using the area of cube.

What is area of a cube?

The total surface area of a given cube is said to be equal to the sum of all the surface areas of the cube's faces, according to the definition of surface area. Given that the cube has six faces, its total surface area will be equal to the sum of its six faces.

We are given a cube with side length 0.8 metres.

We know that total surface area of a cube is given by 6a².

Now, by substituting a = 0.8 in the formula, we get

⇒Total surface area of cube = 6 (0.8)²

⇒Total surface area of cube = 6 (0.64)

⇒Total surface area of cube = 3.84 m²

Hence, the total surface area of the cube is 3.84 m².

Learn more about area of a cube from the given link

https://brainly.com/question/410493

#SPJ1

Are these proportion yes or no?

1/3 , 7/21

2/5 , 40/16

48/9 , 16/3

Answers

1) The ratios 1/3 , 7/21 are in proportion.

2) The ratios 2/5 , 40/16 are not in proportion.

3) the ratios 48/9 , 16/3 are in proportion.

We know that two ratios are said to be in proportion when both the ratios are equivalent.

Consider 1/3 , 7/21

Here 7/21 = (7 × 1)/(7 × 3)

                = 1/3

This means 1/3 = 7/21

Thus, the ratios 1/3 , 7/21 are in proportion.

Consider 48/9, 16/3

Here 48/9 = (16 × 3)/(3 × 3)

                = 16/3

This means 48/9 = 16/3

Thus, the ratios 48/9, 16/3 are in proportion.

Now consider 2/5 , 40/16

Here 40/16 = (8 × 5)/(8 × 2)

                = 5/2

This means 2/5 ≠ 5/2

Thus, the ratios 2/5 , 40/16 are not in proportion.

Learn more about proportion here:

https://brainly.com/question/29774220

#SPJ4

Which rational expression is equivalent to this expression? (4)/(x-3) A. (x-3)/(x+2)-:(4)/(x+2) B. (x+2)/(x-3)-:(4)/(x+2) C. (x+2)/(x-3)*(4)/(x+2) D. (x-3)/(x+2)*(x+2)/(x^(4))

Answers

Option C. (x+2)/(x-3)*(4)/(x+2) is the equivalent rational expression to (4)/(x-3).

The rational expression that is equivalent to this expression (4)/(x-3) is option C. (x+2)/(x-3)*(4)/(x+2).
We can simplify the rational expression (x+2)/(x-3)*(4)/(x+2) by canceling out the common factor (x+2) from the numerator and denominator. This will give us the equivalent rational expression:

(x+2)/(x-3)*(4)/(x+2) = (4)/(x-3)

Therefore, option C. (x+2)/(x-3)*(4)/(x+2) is the equivalent rational expression to (4)/(x-3).

Learn about Rational expression

brainly.com/question/19585906

#SPJ11

Using the numbers 1 to 9 (one time each), fill in the boxes to make
the equation true.
0:0=00:0=00:00

Answers

Using the numbers 1 to 9 (one time each), the boxes can be filled in the following way to make the equation true. 2:2 = 3×3:9 = 4×4 =16.

What do you mean by proportion?

An arithmetic contrast among two numbers is known as a percentage. Two sets of provided numbers are considered to be approximately equal with respect to one another in conformity with the rules of proportion if they increase or decrease by the same ratio.

We must create the equation to prove the equality by utilizing each of the numerals 1 through 9 once. Any of the numbers between 1 and 9 are equivalent to 1 and 2.

Let the ratio equal 1.

The comparable ratios are therefore 1:1, 2:2, and 3:3.

2:2 = 3×3:9 = 4×4 =16

Therefore, using the numbers 1 to 9 (one time each), the boxes can be filled in the following way to make the equation true. 2:2 = 3×3:9 = 4×4 =16.

To know more about proportion, here:

brainly.com/question/870035

#SPJ1

Use the Chain Rule to evaluate the partial derivatives ∂f/∂u and ∂f/∂v at (u,v) = (-2, -2)
f(x,y,z) = x^3 +yz^2, x = u^2 + v, y= u+v^2, z = 4uv
Give exact answers. Use symbolic notation and fractions where needed.) ∂f/∂u(u,v) =( -2, -2) : ......
∂f/∂v(u,v) =( -2, -2) : .......

Answers

The partial derivatives of f with respect to u and v at (u,v) = (-2, -2) are ∂f/∂u(-2,-2) = 224 and ∂f/∂v(-2,-2) = -1056.

To evaluate the partial derivatives ∂f/∂u and ∂f/∂v at (u,v) = (-2, -2) using the Chain Rule, we need to find the derivatives of f with respect to x, y, and z, and then multiply them by the derivatives of x, y, and z with respect to u and v.

First, let's find the derivatives of f with respect to x, y, and z:
∂f/∂x = 3x^2
∂f/∂y = z^2
∂f/∂z = 2yz

Next, let's find the derivatives of x, y, and z with respect to u and v:
∂x/∂u = 2u
∂x/∂v = 1
∂y/∂u = 1
∂y/∂v = 2v
∂z/∂u = 4v
∂z/∂v = 4u

Now, we can use the Chain Rule to find the partial derivatives of f with respect to u and v:
∂f/∂u = (3x^2)(2u) + (z^2)(1) + (2yz)(4v)
∂f/∂v = (3x^2)(1) + (z^2)(2v) + (2yz)(4u)

Finally, we can plug in the values of u and v to find the partial derivatives at (u,v) = (-2, -2):
∂f/∂u(-2,-2) = (3((-2)^2 + (-2))^2)(2(-2)) + ((4(-2)(-2))^2)(1) + (2((-2)+(-2)^2)(4(-2)))
= (3(0)^2)(-4) + (16^2)(1) + (2(2)(-8))
= 0 + 256 - 32
= 224

∂f/∂v(-2,-2) = (3((-2)^2 + (-2))^2)(1) + ((4(-2)(-2))^2)(2(-2)) + (2((-2)+(-2)^2)(4(-2)))
= (3(0)^2)(1) + (16^2)(-4) + (2(2)(-8))
= 0 - 1024 - 32
= -1056

To know more about partial derivatives click on below link:

https://brainly.com/question/30365299#

#SPJ11

Sides 10x and 6x+8 what is the perimeter of the square

Answers

Answer:

Step-by-step explanation:

SHORT ANSWER: perimeter = 4 * (6x+8) = 24x + 32

So, depending on which expression represents the length of the side of the square, the perimeter would be either 40x or 24x + 32.

LONG ANSWER WITH STEP-BY STEP:

If one side of the square has a length of 10x, then all sides have a length of 10x. Alternatively, if one side has a length of 6x+8, then all sides have a length of 6x+8. Therefore, we can write:

perimeter = 4 * side length

Substituting in the given expressions for the side length, we get:

perimeter = 4 * (10x) = 40x

or

perimeter = 4 * (6x+8) = 24x + 32

So, depending on which expression represents the length of the side of the square, the perimeter would be either 40x or 24x + 32.

Find the diviative of the following
[tex] y = ( \sqrt{1 + 2x)} 5[/tex]

Answers

Answer:

Step-by-step explanation:

1+2x)5

First you minus the 1 with the 5

Which you'll get a four then divide it by 2

Which you'll get x=2

But then times it by 5

Then you get y=10

Answer:

[tex]\dfrac{d}{dx}\left(\sqrt{1\:+\:2x}\right)5 = \boxed{\dfrac{5}{\sqrt{1+2x}}}[/tex]

Step-by-step explanation:

Given [tex]y = \left(\sqrt{1\:+\:2x}\right)5[/tex]

we are asked to find [tex]\dfrac{dy}{dx}[/tex]

[tex]\dfrac{dy}{dx} = \dfrac{d}{dx}\left(\sqrt{1\:+\:2x}\right)5\\\\= 5\dfrac{d}{dx}\left(\sqrt{1+2x}\right)\\\\[/tex]

Find [tex]\dfrac{d}{dx}\left(\sqrt{1+2x}\right)[/tex]:
[tex]Let \;u = 1 + 2x\\\\f(u) = \sqrt(u)\\\\[/tex]

[tex]\mathrm{Apply\:the\:chain\:rule}:\quad \dfrac{df\left(u\right)}{dx}=\dfrac{df}{du}\cdot \dfrac{du}{dx}[/tex]

[tex]= \dfrac{d}{du}\left(\sqrt{u}\right)\dfrac{d}{dx}\left(1+2x\right)[/tex]

[tex]\dfrac{d}{du}\left(\sqrt{u}\right) = \dfrac{d}{du}\left(u^{\dfrac{1}{2}}\right)\\\\= \dfrac{1}{2}u^{\dfrac{1}{2}-1}\\\\= \dfrac{1}{2\sqrt{u}}\\\\\\[/tex]

Substitute back u = 1 + 2x
[tex]= \dfrac{1}{2\sqrt{1+2x}}[/tex]

[tex]\dfrac{d}{dx}(1 + 2x) =\dfrac{d}{dx}(1)} + \dfrac{d}{dx}{2x}\\\\= 0 + 2 \\\\= 2\\[/tex]

Therefore
[tex]\dfrac{dy}{dx} = \dfrac{d}{dx}\left(\sqrt{1\:+\:2x}\right)5\\\\= 5\dfrac{d}{dx}\left(\sqrt{1+2x}\right)\\\\[/tex]

[tex]= 5\cdot \dfrac{1}{2\sqrt{1+2x}}\cdot \:2\\\\= 5\cdot \dfrac{1}{\sqrt{1 + 2x}}\\\\=\dfrac{5}{\sqrt{1+2x}}[/tex]

What does a dot plot show us that a box and whisker doesn't?​

Answers

The dot plot allows us to know the exact data we are graphing.

What does a dot plot show us that a box and whisker doesn't?

In a dot plot, we have the different possible values on the horizontal axis, and dots above each of these values that count how many times that value has appeared in an experiment.

Instead, in a whisker plot or a box plot we have a representation in a kinda of "rectangle with whiskers".

This type of plot is usefull to find the quartiles of the data set, but not to know exactly how many of each data points we have, like in the dot plot.

Learn more about dot plots at:

https://brainly.com/question/15853311

#SPJ1

PLEASE HURRY, TEST QUESTION!!!!

Question- The original radius of a sphere is 6 centimeters. Explain how the surface area of the sphere would change if the radius was halved to 3 centimeters. Round your answers to the nearest whole number.

Answers

Step-by-step explanation:

Refer to pic.............

Other Questions
Rectangle JKLM undergoes a sequence of transformations, resulting in rectangle J'K'L'M'.The length of side K'L' is 6 units. The coordinates of vertex K' are (-3,2), and the coordinates of vertex M' are (3,-2).Describe a sequence of transformations to rectangle JKLM that would result in rectangle J'K'L'M.Show your work. pls solve. IM NOT GONNA GET HONOR ROLL IF I DONT DO THIS PLEASE GUYS I BEG. solve the table PLEASE, PLEASE, PLEASE THANK YOU Given the following probability distribution for assets x and y, compute the expected rate of return, variance, standard deviation, and coefficient of variation for the two assets. Which asset is a better investment?X YReturn Prob. Return Prob.8% 0.10 10% 0.259 0.20 11 0.3511 0.30 12 0.4012 0.40 QUESTION 22 What is one cost of avoiding insurance? A. falling into debt if faced with a serious problem B. not benefitting from insurance deductibles C. not being able to purchase a car or home D. facing increased probability of accidents Use this outline to organize your research and presentation. Political Party Project: Research Organizer Victor used a 36-month line ofcredit for $15,000 to remodel hiskitchen. If the interest rate is 2. 5%,how much will he pay in interest? At this Sundays Super Bowl game, 150 out of thefirst 500 people who entered the main gate were not wearing team jerseys. Ifthis sample is representative of the 75,000 people attending the game, abouthow many of them will probably NOT be wearing team jerseys? The CEO looks at the total weighted scores you have obtained for the individual items when you calculated the level of competitiveness. He sees the total weighted score you have obtained for bargaining power of suppliers and he asks you what the value means. You explain to him that it means:A. Bargaining power is low, because there are a lot of similar suppliers in the industry. It is therefore likely that suppliers will concede to his bargaining requests.B. Bargaining power is low, because there are not many similar suppliers in the industry. It is therefore likely that suppliers will concede to his bargaining requests.C. Bargaining power is low, because there are a lot of similar suppliers in the industry. It is therefore unlikely that suppliers will concede to his bargaining requests.D. Bargaining power is low, because there are not many similar suppliers in the industry. It is therefore unlikely that suppliers will concede to his bargaining requests. 6. After intravenous administration of aspartate with N' radioactive marker to experimental animals, the labeled nitrogen is revealed in nucleic acids ofdifferent tissues and organs. What atoms ni purine and pyrimidine bases will include the marker nitrogen? To answer the question, present the schemes of nucleotides synthesis. Indicate the label N ISin these schemes. Building a balance scorecard is like a journey. Justify thestatementSWATprovid at least 5 valid points to justify the statement fast1,500 decagrams = 150 kilograms True False 1. determine the derivative of a function by applying the appropriate derivative rules for both equations.2. apply the derivative to determine other information about a function for both equations.Differentiate 2 of the following Pleasef(x) = (3 2x^3)^3 / f(t) = 100(6-t)/t+3 how to solve 3m - 4 4/1 x 2/3 cross multipliction Netherlands HRM and Culture at RetailCo CORINE BOON AND DEANNE N. DEN HARTOG Organizational Setting and Historical Background RetailCo is an international retail organization founded in the 1920s in the Netherlands. Currently, RetailCo has more than 500 stores, most of which are located in the Netherlands. RetailCo is still expanding through increasing the number of stores, on average opening thirty new stores a year in the Benelux (an economic union that comprises three neighboring countries: Belgium the Netherlands, and Luxembourg). The company has approximately 10,000 employees, 80 percent women and 20 percent men; the average age is thirty- five. More than 75 percent RetailCo is seen as a typically Dutch" retail organization, which takes good care of its employees. RetailCo performs well and won several awards between 2004 and 2008, including prizes for logistics and marketing, and the "best Dutch employer" award. of the employees work part-time. In the Netherlands, RetailCo started in 1920 with providing good products for everyone, using low, uniform prices aimed at serving both poor and rich people. This basic business idea is still central to the organization, as its mission is to make daily life easier and more pleasant for people by providing a range of basic products. Convenient, practical, and high-quality products for daily use are sold at a low price. RetailCo distinguishes itself from other retailers by selling its own brand. All products are developed by the organization itself and represent RetailCo's vision of simplicity surprising solutions, high quality, and low prices. Their wide assortment focuses on household products, clothing, and food but also includes other basic articles such as cosmetics, curtains, and home office supplies. RetailCo's primary target customers are women between the ages of twenty-five and fifty, but its stores attract a much broader group of customers; most Dutch people regularly visit a RetailCo store. RetailCo is a centrally managed company. It consists of headquarters, the food division, a distribution center, and the sales division (the stores).This combination of divisions and a focus on household products, clothing, and food form a unique combination of branches for one company to manage.This case study focuses on ? Your client, Kasey Inc., is a publicly-traded company thatspecializes in processing credit card transactions for various clients and uses 3rd party cloud computing services to complete their services. Which scenario accurately depicts this type of file sharing?A.) A cloud hosted by a third party for the exclusive use of the organization.B.) A cloud hosted by a third party and shared with other subscribers.C.) A cloud that is completely private to and owned by the company that utilizes it.D.) A cloud where several organizations share the costs of a cloud in order to pool resources for a common concern. If i end user licence agreement with my cell phone service provider does thateam i can switch to a different carrier or can you tell me how to have phone released from straight talk to trackphone? The periodic table shown below can be used to help determine how the properties of different compounds compare.How do the physical and chemical properties of calcium iodide (CaI2) compare to carbon disulfide (CS2) and sodium fluoride (NaF)? stunthurston k12 wa us bookmarks 02 K12 Courses C Clever | Portal K12 Today's PlanLesson 5.5-You Should Moet Katherine Johnson Wrap-Up< BackDMenuOUZKatherine JohnsonPlaces to Visit ChilKYVIN WILLIAMS Writing Check-in-K...Refer to You Should Meet Katherine Johnson for a complete version of this text.Read this sentence from You Should Meet Katherine Johnson:What's Great about.....MOREWhich response most accurately represents the viewpoints of the authors?O Both authors agree that Katherine was a stronger leader than others in her field.ARoadFocusKatherine's love of math led her to help make history for the space program, for women's rights, and for racialequality.!!!Now read this sentence from "Mathematician Katherine Johnson at Work":Johnson became known for her training in geometry, her leadership, and her inquisitive nature; she was the onlywoman at the time to be pulled from the computing pool to work with engineers on other programs.The first author emphasizes Katherine's contributions to the space program, while the second authorfeels she should be recognized as the first woman to work with engineers.O Both authors think that Katherine deserves more credit for the success of the space program.Feb 283:29 PLEASE HELP,what is the answer to (b) the median.ITS NOT 2,5 or 7.