PLEASE HELP???!!!!!!!

PLEASE HELP???!!!!!!!

Answers

Answer 1

The quadratic equation on the graph can be written as:

y = x² + 6x + 8

Which function is represented byy the graph?

Remember that a quadratic equation whose vertex is (h,k) and the leading coefficient is a, can be written as:

y = a*(x - h)² + k

Here we can see that the vertex is at (-3, -1), replacing that we will get:

y = a*(x + 3)² - 1

Now we can also see that it passes through the point (-2, 0), replacing these values we will get:

0 = a*(-2 + 3)² - 1

0 = a - 1

1 = a

Then the quadratic is:

y  = (x + 3)² - 1

Expanding that we get:

y = x² + 6x + 9 - 1

y = x² + 6x + 8

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Related Questions

Which set of ordered pairs is made up of points on the graph of the function below?

y=-2x+8

A. (10,-1), (8,0), (1,6), (2,4)
B. (-1,10), (0,8), (1,6), (2,4)
C. (10,-1), (8,0), (6,1), (4,2)
D. (-1,10), (8,0), (1,6), (4,2)

Answers

Answer:0

Step-by-step explanation: just like you did on my question and stole the points :) xx

The points (-5, r) and (1, -16) lie on a line with slope -4. Find the missing coordinate r.

Answers

The missing coordinate of line is r = 8.

Define straight line

A straight line is a geometrical object that extends infinitely in both directions and has no curvature or bending. It is a one-dimensional object that is defined by two points on the line, called its endpoints, or by its slope and a point on the line.

the slope formula to find the slope of the line given two points:

slope = (y2 - y1) / (x2 - x1)

where (x1, y1) and (x2, y2) are the coordinates of two points on the line.

Plugging in the coordinates we have:

-4 = (-16 - r) / (1 - (-5))

Simplifying:

-4 = (-16 - r) / 6

Multiplying both sides by 6:

-24 = -16 - r

Adding 16 to both sides:

-8 = -r

Dividing both sides by -1:

r = 8

Therefore, the missing coordinate is r = 8.

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Find the Volume of the triangular prism

Answers

For the given triangular prism, the volume value is obtained as Option B: 31.5 in³.

What is a triangular prism?

The pentahedron Triangular Prism contains nine different nets. The bases' vertices and edges are connected by means of their three rectangular sides. The rectangular sides of the triangular prism are joined to one another side by side. Every cross-section that is perpendicular to the base faces is a triangle.

The height of the triangular prism is given as 2 inches.

The base of the triangular prism is given as 7 inches.

The length of the triangular prism is given as 4.5 inches.

The volume of a triangular prism is given by the formula -

V = (1/2) × b × h × l

where b is the base of the triangle, h is the height of the triangle, and l is the length of the prism.

Substituting these values into the equation, we get -

V = (1/2) × 7 inches × 2 inches × 4.5 inches

V = 7 inches × 1 inch × 4.5 inches

V = 31.5 cubic inches

Therefore, the volume of the triangular prism is 31.5 cubic inches.

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Ice cream is packaged in cylindrical gallon tubs. A tub of ice cream has a total surface area of 183.69 square inches.

If the diameter of the tub is 6 inches, what is its height? Use π = 3.14.

A 2.25 inches
B 4.5 inches
C 6.75 inches
D 12.75 inches

Answers

Answer:

     6.75 inches.

Step-by-step explanation:

[tex]183.69 = 2*3.14*3^2 + 2*3.14*3*h[/tex]

[tex]= 56.52 + 18.84h[/tex]

[tex]183.69 - 56.52 = 18.84h[/tex]

[tex]127.17 = 18.84h[/tex]

[tex]=\frac{127.17}{18.84}[/tex]

[tex]=6.75[/tex]

PLEASE HELP!!! (IMAGE ATTATCHED) (40PTS)
ALEKS INITIAL KNOWLEDGE CHECK
In rhombus yxyz below, wy24cm and xv7cm .
Find the area of the rhombus.
Be sure to include the correct unit in your answer.

Answers

Answer:

168 cm^2

Step-by-step explanation:

This rhombus is made up of two triangles. To find triangle area, base x height/2 (but bc there are two triangles we don’t need to divide by 2). To do this, 14 x 12 to get 168cm^2

On New Year's Eve, the probability of a person having a car accident is 0.09. The probability of a person driving while intoxicated is 0.32 and probability of a person having a car accident while intoxicated is 0.15. What is the probability of a person driving while intoxicated or having a car accident?



Round to 2 decimal places

Answers

Answer:

Step-by-step explanation:

To calculate the probability of a person driving while intoxicated or having a car accident, we need to use the formula for the union of events:

P(A or B) = P(A) + P(B) - P(A and B)

where A and B are the events of driving while intoxicated and having a car accident, respectively.

Using the probabilities given in the problem, we can calculate:

P(intoxicated) = 0.32

P(accident) = 0.09

P(accident | intoxicated) = 0.15

To find P(intoxicated or accident), we first need to find P(intoxicated and accident). We can use the formula for the conditional probability as follows:

P(intoxicated and accident) = P(accident | intoxicated) x P(intoxicated)

P(intoxicated and accident) = 0.15 x 0.32 = 0.048

Now we can use the formula for the union of events:

P(intoxicated or accident) = P(intoxicated) + P(accident) - P(intoxicated and accident)

P(intoxicated or accident) = 0.32 + 0.09 - 0.048

P(intoxicated or accident) = 0.362

Therefore, the probability of a person driving while intoxicated or having a car accident is 0.362, or approximately 36.2%.

greatest common factor of 4x+3x^2

Answers

Answer:
X(4+3x)

How to do it:
Between 4 & 3 what’s the highest factor they share: 1
Do they both have X’s: yes
What’s the lowest amount of X’s:1
We plug in
1(highest factor)x( lowest amount X’s)
1x or x
1*4& 1*3
(Kind of hard to explain)

Can someone help
me?

Answers

Answer:

To find the real and imaginary parts of the complex number 26 = a + bi, we can use the fact that:

a + bi = 26

Taking the complex conjugate of both sides, we get:

a - bi = 26

Adding the two equations, we get:

2a = 52

Solving for a, we get:

a = 26

Substituting this value into one of the equations, we get:

26 + bi = 26

Therefore, b = 0.

Therefore, the real part of 26 is a = 26, and the imaginary part is b = 0.

A soft drink company calls 500 people at random and asks, “Isn’t it true that our product is better than our rival’s product?” and 75% of the people respond, “Yes.” Is this an example of bias? Explain.

Answers

Yes, this is an example of bias, specifically, response bias.

What is probability?

Probability is a measure of the likelihood or chance of an event occurring. It is a numerical value between 0 and 1, where 0 means that the event is impossible and 1 means that the event is certain. Probability can be calculated by dividing the number of favorable outcomes by the total number of possible outcomes. It is an important concept in many fields, including mathematics, statistics, physics, and engineering, and is used to make predictions, analyze data, and make decisions under uncertainty.

Here,

Response bias occurs when the answers given by respondents in a survey do not accurately reflect their true opinions or beliefs. In this case, the question asked by the soft drink company is leading and suggestive, and it suggests that the company's product is superior to its rival's product. By framing the question in this way, the soft drink company is more likely to receive a positive response from respondents, even if they do not actually believe that the company's product is better than its rival's product.

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Stoaches are fictional creatures that feed on funistrada.

According to Wikipedia, adult stoach weights are normally distributed, with a mean of 308 g and a standard deviation of 58 g.

You weigh a random sample of 54 stoaches, and find a sample mean weight of 313.8 g.

Assume Wikipedia is correct about the standard deviation. What is the p
-value for a two-sided hypothesis test that Wikipedia is also right about the mean weight? (Give your answer to 4 decimal places.)

Answers

Answer:

Step-by-step explanation:

Here's a step-by-step explanation of how to calculate the p-value for the hypothesis test:

Step 1: State the null and alternative hypotheses

The null hypothesis is that the true population mean weight of stoaches is 308 g, and the alternative hypothesis is that the true population mean weight is not 308 g.

H0: µ = 308 g (null hypothesis)

Ha: µ ≠ 308 g (alternative hypothesis)

Step 2: Determine the test statistic

We can use a t-test to determine the test statistic for this hypothesis test. The test statistic is given by:

t = (sample mean - hypothesized mean) / (standard error of the mean)

where the sample mean is 313.8 g, the hypothesized mean is 308 g, and the standard error of the mean is calculated as:

standard error of the mean = standard deviation / sqrt(sample size)

Substituting the given values, we get:

t = (313.8 - 308) / (58 / sqrt(54))

t = 1.547

Step 3: Determine the p-value

To determine the p-value, we need to find the probability of obtaining a test statistic as extreme or more extreme than our observed t-value, assuming the null hypothesis is true. Since we have a two-sided alternative hypothesis, we need to find the area in both tails of the t-distribution that is more extreme than our observed t-value.

Using a t-distribution table or calculator with 53 degrees of freedom (since we have a sample size of 54), we find that the probability of obtaining a t-value of 1.547 or greater is 0.0722 in the right tail, and the probability of obtaining a t-value of -1.547 or less is also 0.0722 in the left tail. Therefore, the p-value for the two-sided test is the sum of these two probabilities:

p-value = 0.0722 + 0.0722

p-value = 0.1444

Step 4: Compare the p-value to the significance level

The significance level is typically set to 0.05 for hypothesis tests. Since our calculated p-value (0.1444) is greater than the significance level of 0.05, we fail to reject the null hypothesis. This means that we do not have sufficient evidence to suggest that the true population mean weight of stoaches is different from 308 g.

In summary, the p-value for the two-sided hypothesis test is 0.1444, and since this value is greater than the significance level of 0.05, we do not reject the null hypothesis.

jay eats 2/3 of a pizza but if dan eats 4 times that amount how much did dan eat​

Answers

Answer:

Dan eat 2 2/3 of a pizza

Step-by-step explanation:

the answer is above

Let

x-----> amount of pizza Jay ate

y-----> amount of pizza Dan ate

we know that

----> equation A

-----> equation B

substitute equation A in the equation B and solve for y

Convert to mixed number

HELP! PLEASE PLEASE !!!!!!!!!!!!

Answers

Hi!

Okay, lets make this quick for you :)
1 Inch = 16 feet
2.25 (=1/4 as a decimal) x 16 is 36.
3 x 16 is 48.
4 x 16 is 64.
1.75 (= 3/4 as a decimal) x 16 is 28.

Add all of them together!
36 + 48 + 64 + 28 = 176.

So, your answer is 176.

Hope this helps!
~~~PicklePoppers~~~

Answer:

2512 ft^2

Step-by-step explanation:

Consider the whole figure as ABCD.

Law used: Opposite sides are equal.

Soln: For rectangle ABCD,

= L*B

= 4*3 = 12 inches

And,For extended area, BFEL:

L= 7/4B = 5/4

Area: L*B = 7/4*5/4 = 35/16

So,Area of given region:

=12-35/16

= 192-35/16 = 157/16 inches.

In Feet,we have:

Given 1in = 16 ft.

1 in^2 = 16*16 ft^t

in ^2 = 256 ft^t

157/16 in^2 = 256*157/16 = 2512 ft^2 (ans)

The circumference of the circle is 20 pi inches. What is the arc length of the shaded sector? Express the answer in terms of Pi. A circle. The shaded sector has an angle measure of 45 degrees. Recall that StartFraction Arc length over Circumference EndFraction = StartFraction n degrees over 360 degrees EndFraction. 2.5 pi inches 5 pi inches 7.9 pi inches 10 pi inches

Answers

The provided remark indicates that option (A) is accurate for 2.5 inches.

What length of time is an example?

The measurement or size of something to end to end is referred to as its length. To put it another way, it is the bigger of the upper two or three dimensions of a geometric form or object. For instance, the length and width of a parallelogram define its measurements.

Using the given equation:

Arc Length / 20π = 45/360

Cross multiply:

Arc length × 360 = 20π x 45

Arc length x 360 = 900π

Divide both sides by 360:

Arc length = 900π / 360

Arc Length = 2.5 π inches.

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The product of two positive consecutive integers is 2 less than
twice their sum. Find the integers.

Answers

Answer:

The integers are 5 and 7.

Step-by-step explanation:

im 99% sure that is right! hope i helped!

Triangle ABC is rotated 180 degrees counterclockwise around vertex c. find the coordinates of B. B is (4,4) C is (3,1)

Answers

The image of the point B after the rotation by 180 degrees about point C is (0, 0)

How to determine the image of the point B after the rotation

Given that

B = (4, 4)

C = (3, 1)

The rotation rule is given as

Rotation by 180 degrees counterclockwise around vertex C

The rule of 180 degrees counterclockwise about the origin is

(x,y) = (-x,-y)

If the center of rotation is (a, b), then we have

(x,y) = (-(x - a) + b, -(y - b) + a)

So, we have

B' = (-(4 - 3) + 1, -(4 - 1) + 3)

Evaluate

B' = (0, 0)

Hence, the image of the point is (0, 0)


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Majesty Video Production Inc. wants the mean length of its advertisements to be 35 seconds. Assume the distribution of ad length follows the normal distribution with a population standard deviation of 2 seconds. Suppose we select a sample of 14 ads produced by Majesty.

Answers

a. The shape οf the distributiοn οf the sample mean time is nοrmal.

b. The standard error is 0.5345.

What is the standard deviatiοn?

Standard deviatiοn is: It is a measure οf hοw spread οut numbers are. It is the square rοοt οf the Variance, and the Variance is the average οf the squared differences frοm the Mean.

Given that:

μ =35

σ = 2

n = 14

a. The shape of the distribution of the sample mean time is normal.

b. To calculate the standard error of the mean time, we would apply this formula,

Standard error :

[tex]$ \rm SE = \frac{ \sigma}{\sqrt{(n)} }[/tex]

[tex]$ \rm SE = \frac{ 2}{\sqrt{(14)} }[/tex]

SE = 0.5345

Thus, the standard error is 0.5345.

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Complete question:

Majesty Videο Prοductiοn Inc. wants the mean length οf its advertisements tο be 30 secοnds. Assume the distributiοn οf ad length fοllοws the nοrmal distributiοn with a pοpulatiοn standard deviatiοn οf 2 secοnds. Suppοse we select a sample οf 16 ads prοduced by Majesty.

a. What can we say abοut the shape οf the distributiοn οf the sample mean time?

b. What is the standard error of the mean time?

3. Factor puzzle. *Be sure to show work!
SHARED FACTORS
Each side of the square shares a factor with each of its neighboring sides.
Determine the missing values that make this statement true.

Answers

The missing values that make this statement true are as

x² + 9x + 14,  x² - 3x - 10

x² - 2x - 15,   x² + 10x + 21

What is the quadratic equation?

A quadratic equation is a second-degree polynomial equation of the form ax² + bx + c = 0, where a, b, and c are constants and x is the variable. The term "quadratic" comes from the Latin word "quadratus," which means "square."

First, let Xa, Xb, Xc, Xd = each factor

Xd = each factor which shows In the graph

Then, we can know that

Xa, Xb are the roots of x² + ___x + 14

Xb, Xd are the roots of x²= 3x - __

Xc, Xd are the roots of x² - __x - 15

Xa, Xc are the roots of x² + 10x + __

Xa * Xb = 14           Xd = 15/10 +Xa

Xb+ Xd = 3            14/Xa + 15/10 +Xa = 3

Xc* Xd = - 15          140 + 29Xa/Xa(10+Xa)

Xa + Xc = -10x        140 + 29Xa = 30Xₐ + 3Xₐ²

Xb = 14/Xa             3Xₐ² + Xₐ² - 140 = 0

14/Xa + Xd = 3       Xa1 = -7   Xa2 = 20/3

Xd = -15/-3             Xb1 = -2   Xb2 = 21/10

Xc = -10 -X1            Xc1 = -3    Xc2 = -30/3

Xc1 = -3     Xc2 = -30/3

Xd1 = 5         Xd2=9/10

There are two kinds of answers.

1) x² + 9x + 1x           Xa1 + Xb1 = -9

x² - 3x + 10           Xb1 * Xd1 = -10

x² - 2x - 15           Xc1 + Xd1 = 2

x² + 10x + 21           Xa1 * Xc1 = 21

2)

x² - (263/30)x + 14           Xa2 * Xb2 = 263/30

x² - 3x - (-189/100)           Xb2 * Xd2 = 189/100

x² - (413/30)x - 15           Xc2 + Xd2 = 413/30

x² + 10x + (1000/9)           Xa2 * Xc2 = 1000/9

Hence, the missing values that make this statement true are as

x² + 9x + 14,  x² - 3x - 10

x² - 2x - 15,   x² + 10x + 21

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A contractor buys 18 yd of nylon carpet and 20 yd of wool carpet for $1922. A second purchase, at the same prices, includes 18 yd of nylon carpet and 27 yd of wool carpet for $2286. Find the cost per yard of the wool
carpet.

Answers

Therefore, the cost per yard of wool carpet is $52.

Which equation would you use as an example?

When two expressions are joined by the equal sign, a mathematical statement is referred to as an equation. 3x - 5 = 16 is an illustration of an equation.

Let x be the cost per yard of nylon carpet, and let y be the cost per yard of wool carpet.

From the information given in the problem, we can set up two equations based on the two purchases:

18x + 20y = 1922 (equation 1)

18x + 27y = 2286 (equation 2)

We want to find the cost per yard of wool carpet, y. We can solve for y by subtracting equation 1 from equation 2:

7y = 364

y = 52

Therefore, the cost per yard of wool carpet is $52.

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5/6 plus negative 4/9 minus negative 2

Answers

Answer:

Step-by-step explanation:

5/9 + (-4/9) - (-2)

5/9 - 4/9 + 2

[tex]5-4+18/9[/tex]

19/9 or 2.1, 2 1/9

danielle wants to build a sandbox that has a perimeter of 46 feet. The length is 15ft. What is the width of their sand box?

Answers

Answer:

8 feet.

Step-by-step explanation:

Let's denote the width of the sandbox as "w".

We know that the perimeter of a rectangle is given by the formula:

Perimeter = 2(length + width)

So, we can plug in the given values:

46 = 2(15 + w)

Now, we can solve for "w":

46 = 30 + 2w

Subtracting 30 from both sides:

16 = 2w

Dividing by 2:

w = 8

Therefore, the width of the sandbox is 8 feet.

Find the value of the following:
tan (sin-¹ // )
[?}√[
Give your answer in lowest terms.
Rationalize the denominator If necessary.
Enter the number that belongs in the green box.
Enter

Answers

The value of the given trigonometric expression tan(arcsin (2/7)) is 0.29.

What are expressions?

Mathematical statements called expressions must have a minimum of two words with either numbers, variables, or both, joined by an operator. The four different types of mathematical operators are addition, subtraction, multiplication, and division. For instance, the expression x + y is an expression where x and y are words with an addition operator between them. Mathematical expressions may be divided into two categories: algebraic expressions, which include both numbers and variables, and numerical expressions, which solely contain numbers.

The given expression is tan(arcsin (2/7)).

The value of arcsin(2/7) = 16.60

Now substitute the value:

tan(16.60) = 0.29

Hence, the value of the given trigonometric expression tan(arcsin (2/7)) is 0.29.

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The trigonometric expression tan(arcsin (2/7)) has a value of 0.29.

What are trigonometric expressions?

Mathematical statements called expressions must have a minimum of two words with either numbers, variables, or both, joined by an operator.

The addition, subtraction, multiplication, and division operations are the four distinct categories of arithmetic operators.

For instance, the expression x + y is an expression where x and y are words with an addition operator between them.

Mathematical expressions may be divided into two categories: algebraic expressions, which include both numbers and variables and numerical expressions, which solely contain numbers.

The given expression is tan(arcsin (2/7)).

The value of arcsin(2/7) = 16.60

Now substitute the value:

tan(16.60) = 0.29

Hence, the value of the given trigonometric expression tan(arcsin (2/7)) is 0.29.

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Write Slope=3 y-intercept=-1/2 in slope intercept form

Answers

Answer:

y = 3x - [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = 3 and c = - [tex]\frac{1}{2}[/tex] , then

y = 3x - [tex]\frac{1}{2}[/tex] ← equation of line

Please answer
A soft drink company calls 500 people at random and asks, “Isn’t it true that our product is better than our rival’s product?” and 75% of the people respond, “Yes.” Is this an example of bias? Explain.

Answers

In linear equation, “Yes.” This is the example of bias.

What in mathematics is a linear equation?

An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation. Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

The question asked by the soft drink company is leading and suggestive in nature as it implies that their product is better than their rival's product. This can influence the respondent's answer and lead to biased results. Additionally, the sample size of 500 people may not be representative of the entire population, and the respondents may not be randomly selected.

Therefore, the results of this survey may not accurately reflect the true opinions of the population regarding the superiority of the soft drink company's product over its rival's product. To obtain more accurate and reliable results, the question should be more neutral and the sample should be randomly selected and representative of the population.

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Talitha will sell her bicycle shop to you for R250 000, with seller financing at a 6% nominal annual rate. The terms of the loan will require you to make 12 equal end-of-month payments per year for four years, and then make an additional final (balloon) payment of R50 000 at the end of the last month. What will your equal monthly payments be?

Answers

Answer:

Step-by-step explanation:

To calculate the equal monthly payments under this loan, we can use the formula for the present value of an annuity due, since the payments are due at the end of each period. The present value of the equal monthly payments can then be set equal to the loan amount of R250,000, and we can solve for the payment amount.

First, we need to calculate the present value factor for an annuity due with 12 payments per year over a four-year period, using a nominal annual rate of 6%.

PVIFA(due) = (1 - (1 + r/n)^(-nt))/((r/n)(1 + r/n))

Where:

r = nominal annual rate = 6%

n = number of compounding periods per year = 12

t = number of years = 4

PVIFA(due) = (1 - (1 + 0.06/12)^(-12*4))/((0.06/12)(1 + 0.06/12)) = 43.232

Next, we can use the formula for the present value of an annuity due to calculate the equal monthly payments:

PMT = PV / PVIFA(due)

Where:

PV = present value of the loan = R250,000

PMT = 250000 / 43.232 = R5,785.97

Therefore, your equal monthly payments will be R5,785.97. At the end of the four-year period, you will also need to make a final balloon payment of R50,000 to fully pay off the loan.

Can someone help me please?

Answers

Answer: yes, no, yes, no

Step-by-step explanation:

In ΔVWX, v = 33 inches, w = 57 inches and ∠X=147°. Find ∠W, to the nearest degree.

Answers

I don’t know if it is. One

Let T : R³ → R³ be the linear transformation determined by the matrix:

Answers

Therefore , the solution of the given problem of matrix comes out to be  V = (4/3)π(1³) = (4/3)π.

Describe matrix.

A matrix is a collection of integers set up in a rectangular array with rows and columns. The elements or components of the matrix are the integers. Numerous areas of mathematics as well as the fields of economics, physics, statistics, and architecture all make extensive use of matrix algebra.

Here,

(a)

Let (x1, x2, x3) be any point in the set {(x1, x2, x3) e IR³ | x1²/a² + x2²/b² + x3²/c² ≤ 1}, on the other hand. Next, we have

(x1²/a²) + (x2²/b²) + (x3²/c²) ≤ 1

When we multiply both parts by 3, we obtain:

a²x1² + b²x2² + c²x3² ≤ 3

The condition for T(S) is satisfied by (x1, x2, x3), indicating that (x1, x2, x3) is in T.(S).

T(S) is the collection ({(x1, x2, x3) e IR³ | x1²/a² + x2²/b² + x3²/c² ≤ 1}.a result.

(b) The following formula determines the volume of the spheroid with semiaxes of lengths(1/√(a))(1/√(b)) and (1/√(c))

=>V = (4/3)π (1/√(a))(1/√(b))(1/√(c))

If we replace a = b = c = 1, we get:

=> V = (4/3)π (1)(1)(1) = (4/3)π

The following algorithm determines the unit ball's volume in IR3:

=> V = (4/3)π(1³) = (4/3)π

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100 POINTS + BRAINLIEST!!

Answers

(2x)(4x)= 8x^2
2x + 4x = 6x

(x+1)+ 2x = 3x + 1
(x+1)(2x) = 2x^2 + 2x

3x + (2x) = 5x
(3x)(2x) = 6x^2

Answer:

(2x)(4x)= 8x^22x + 4x = 6x(x+1)+ 2x = 3x + 1(x+1)(2x) = 2x^2 + 2x3x + (2x) = 5x(3x)(2x) = 6x^2

Step-by-step explanation:

hope this helped

I need help with my homework

Answers

The table that represents the function for a lawn being mowed more quickly than by Killian's rate is given as follows:

Second table.

How to obtain the average rate of change?

The average rate of change of a function is given by the change in the output of the function divided by the change in the input of the function. Hence we must identify the change in the output, the change in the input, and then divide then to obtain the average rate of change.

Killian can cut grass at a rate of 1000 square feet each 10 minutes, hence his average rate of change is given as follows:

1000/10 = 100 square feet per minute.

For the second table, in 7 minutes, 1100 square feet of lawn is mowed, hence the rate is given as follows:

1100/7 = 157 square feet per minute.

It is more quickly than Killian's as the rate of change is greater.

More can be learned about the average rate of change of a function at brainly.com/question/11627203

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log x / 3 + log y / 3 + logz / 3
how do you condense

Answers

Using the product rule of logarithms, we can condense the expression as follows:

log(x/3 * y/3 * z/3)

= log((xyz) / 27)

So, the condensed form of the given expression is log((xyz) / 27).

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