Answer:
After simplifying, the first step in solving an equation with a variable on both sides is to Get The Variable On One Side. This is done by reversing the addition or subtraction of one of the terms with the variable. In other words, we must add to both sides or subtract from both sides one of the quantities that contains the variable. It is generally easier to add or to subtract the smaller quantity from the larger quantity, so we are working with positive coefficients, but either way works
As an estimation we are told 5 miles is 8 km.
Convert 20 miles to km.
If g(x) = 4x2 + 3x - 25, what is the value of g(-10)?
F -445
G 25
H 1545
J 345
Answer:
g(-10) = 345
Step-by-step explanation:
g(x) = 4x² + 3x - 25
~Substitute
g(-10) = 4(-10)² + 3(-10) - 25
~Simplify
g(-10) = 4(100) - 30 - 25
~Multiply
g(-10) = 400 - 30 - 25
~Subtract
g(-10) = 370 - 25
~Subtract
g(-10) = 345
Best of Luck!
Find the common ratio of the geometric sequence 2,-6,18,...
Answer: -3
Step-by-step explanation:
Use the ratio r= a2/a1
So -6/2= -3
2*-3=-6
-6*-3= 18
18*-3= -54
what is the solution to 6x+5y=19 4x+6y=10
Answer:
The value of x is 4 and y is -1 .
Step-by-step explanation:
First, you have make any term to have the same coefficient. So I will choose x term :
[tex]6x + 5y = 19 - - - \times 2[/tex]
[tex]12x + 10y = 38 - - - (1)[/tex]
[tex]4x + 6y = 10 - - - \times 3[/tex]
[tex]12x + 18y = 30 - - - (2)[/tex]
Next, you have to solve it by Elimination method :
[tex](1) - (2)[/tex]
[tex]12x + 10y - 12x - 18y = 38 - 30[/tex]
[tex] - 8y = 8[/tex]
[tex]y = - 1[/tex]
[tex]substitute \: y = - 1 \: into \: (1)[/tex]
[tex]12x + 10( - 1) = 38[/tex]
[tex]12x - 10 = 38[/tex]
[tex]12x = 38 + 10[/tex]
[tex]12x = 48[/tex]
[tex]x = 4[/tex]
solve for p 7(p - 9) = -34.3
3. Give the domain of y= √6-X using set builder notation.
Answer:
{x | x ≤ 6}
Step-by-step explanation:
Given
y = √(6 - x)
Required
Determine the domain
We start by setting 6 - x to ≥ 0.
i.e.
6 - x ≥ 0
Add x to both sides
6 - x + x ≥ 0 + x
6 ≥ x
This can be rewritten as
x ≤ 6
Using set builder, the above van be represented as: {x | x ≤ 6}
Multiply (−4)(−2)(−5)
A −40
B -8
C 8
D 40
Answer: A. -40
Step-by-step explanation:
-4 x -2 equals 8, 8 times -5 equals -40
Any negative number times another negative number equal a positive number. That number would be 8, but then you multiply 8 which is a possitive number by -5 which is a negative number you would get a negative number again (-40). Is it a trick question or something?
How do you do this question?
You're very close. The answers you've selected are correct, but there's one third series that's also alternating. Choice C is also an answer due to the [tex](-1)^n[/tex] term.
Any alternating series is in the form [tex]\displaystyle \sum (-1)^n*a_n[/tex] or [tex]\displaystyle \sum (-1)^{n+1}*a_n[/tex] where [tex]a_n[/tex] is any sequence.
Choice E comes close, but the 2n being the exponent means that we don't have alternating signs (positive, negative, positive negative, etc). Why is this? Well notice how 2n is even regardless of what integer n we pick. Raising any negative number to an even power results in a positive value.
Eg: (-7)^2 = 49 and (-3)^4 = 81
This means that all of the terms of sequence E are going to be positive. The terms do not bounce back and forth between positive and negative.
Put another way, [tex](-1)^{2n} = \left((-1)^2\right)^n = 1^n = 1[/tex]
So [tex]\displaystyle \sum_{n=0}^{\infty} (-1)^{2n}\frac{1}{n+3} = \sum_{n=0}^{\infty} \frac{1}{n+3}[/tex]
And it's why choice E is not one of the answers.
-------------------------
To summarize:The 3 answers are A, C, and DJordan Ellen recycle cans Jordan recycle seven cans for every 12 cans Ellen recycled last week how many total cans did Jordan and Ellis recycle last week.
Answer:
Ellen sold 42 cans and they sold 114 cans lastweek (both Ellen and Jordan)
Step-by-step explanation:
The oroginal ratio is 7:12 for every 12 cans ellen collects Jordan collects 7 so inorder to find the number of cans Ellen sold you have to figure out what 7 was multiplied by to get 42, and that would be 6. Then you multiply 12 by 6 and get 72 so ELlen sold 72 cans.
Now the new ratio is 42:72 when you add them together you get 114 so they sold (together) 114 cans last week.
HOPE THIS HELPS ↖(^ω^)↗
What is 3/2 divided by 1/2
Answer: 3
Step-by-step explanation: 3/2 / 1/2 = 3
= )
Answer:
It's 3 :)
Step-by-step explanation:
you just multiply the numerators and put them over 1.
so 3*1 is just 3. Hope this helps!
(-2x)^4 Simpify the number
Answer:
d
Step-by-step explanation:
i like ya cut g
Which equation represents the function graphed on the
coordinate plane?
O g(x) = |x - 41 - 10
O g(x) = 5x + 41 - 10
O g(x) = \X – 10| + 4
O g(x) = (x + 101 – 4
The equation that represents the graph is g(x) = |x + 4| - 10.
The correct option is B.
What is transformation on the graphs?Let the functions f(x) and g(x) be two real functions.
And g (x) = f (x) + k, where k is real numbers.
The function can be sketched by shifting f (x), k units vertically.
The direction of shift can be found by the value of k:
if k > 0, the base graph shifts k units up, and
if k < 0, the base graph shifts k units down.
The function provided by the basic function f(x) and the constant
g(x) = f(x - k),
may be drawn by horizontally moving the f(x) k unit coordinates.
The shift's direction depends on the value of k. Specifically,
The base graph moves k units to the right if k > 0, and
The base graph moves k units to the left if k < 0.
Since the graph of the parent function is g(x) = |x|, the transformed graph is obtained by shifting it 4 units to the left and 10 units down. This can be achieved by applying the following transformations to the parent function:
Shift 4 units to the left: g(x + 4) = |x + 4|
Shift 10 units down: g(x + 4) - 10 = |x + 4| - 10
Therefore, the equation for the transformed function is g(x + 4) - 10 = |x + 4| - 10.
To learn more about the transformation on the graphs;
https://brainly.com/question/19040905
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Enter the ratio as a fraction in lowest terms 3 ft to 88 in. Hint: You must use common units (12 in = 1 ft.)
Answer:
9/22
Step-by-step explanation:
convert 3ft into inches.
3*12=36in
then make it into a fraction
36/88
simplify
9/22
Suppose that 20% of the subscribers of a cable television company watch the shopping channel at least once a week. The cable company is trying to decide whether to replace this channel with a new local station. A survey of 100 subscribers will be undertaken. The cable company has decided to keep the shopping channel if the sample proportion is greater than 0.27. What is the approximate probability that the cable company will keep the shopping channel, even though the true proportion who watch it is only 0.20
Answer:
There is approximately 4% chance that the cable company will keep the shopping channel, even though the true proportion who watch it is only 0.20.
Step-by-step explanation:
The random variable X can be defined as the number of subscribers of a cable television company who watch the shopping channel at least once a week.
X follows a Binomial distribution with parameters n = 100 and p = 0.20.
But the sample selected is too large and the probability of success is close to 0.50.
So a Normal approximation to binomial can be applied to approximate the distribution of X if the following conditions are satisfied:
1. np ≥ 10
2. n(1 - p) ≥ 10
Check the conditions as follows:
[tex]np=100\times 0.20=20>10\\\\n(1-p)=100\times 0.80=80>10[/tex]
Thus, a Normal approximation to binomial can be applied.
[tex]\hat p\sim N(p,\frac{p(1-p)}{n})[/tex]
Compute the approximate probability that the cable company will keep the shopping channel, even though the true proportion who watch it is only 0.20 as follows:
[tex]P(\hat p>0.27)=P(\frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n}}}>\frac{0.27-0.20}{\sqrt{\frac{0.20(1-0.20}{100}}})[/tex]
[tex]=P(Z>1.75)\\=1-P(Z<1.75)\\=1-0.95994\\=0.04006\\\approx 0.04[/tex]
Thus, there is approximately 4% chance that the cable company will keep the shopping channel, even though the true proportion who watch it is only 0.20.
HELP!! HOWDO I SOLVE THIS??
Answer:
35 degrees
Step-by-step explanation:
a triangles angles add up to 180 degrees
if 4 is 35 degrees then what is 3
90 - 35 = 55
1 = 90
90 + 55 = 145
180 - 145 = 35
2 = 35 degrees
try math it helps alott
Can someone please help me with these 3 questions?
1) Since the angles are congruent, set them up to equal each other, then solve for x: x + 10 = 50. Now solve
2) Since angles AEC and DEB are congruent, set them up also to equal each other, then solve. : 6x + 20 = 10x. Now solve for x
3) Since AEC and DEB are congruent, they have the exact same angle measurement. Because of this, you are able to set the two equations equal to each other, then solve for x. After you have the value of x, you can plug it into 5x + 12 and solve once again, resulting in the answer for the measurement of angle AEC.
a square garden with a side of 150m has a square swimming pool in the very center with a side length of 25m calculate the area of the garden
Answer: 21,875 sqm
Step-by-step explanation:
Step 1:
Find the gross area of the garden.
Square 150m = 22,500 sqm.
Step 2:
Find the area of the pool.
Square 25m = 625 sqm.
Step 3:
Subtract the area of the pool from the gross area of the garden
to find the net area of the garden.
22,500 - 625 = 21,875 sqm.
Warning:
Do not subtract the side length of the swimming pool from the side length
of the garden before squaring.
Camry is a popular car manufactured by Japanese Car manufacturer, Toyota. Being one of the best selling cars in USA, all of the Camry models in USA are manufactured and assembled by Toyota Motor Manufacturing at Georgetown, Kentucky. A car dealer wanted to find out the average mileage for driving inside city for Toyota Camry (2020 US) model cars. He took a sample of 117 Toyota Camry (2020 US) cars and finds that the average mileage for these cars is 27.8 mpg. Based on the information given above, match the following.
1. All the cars manufactured by the Japanese Car Manufacturer, Toyota.
2. All Toyota Camry (2020 US) model cars. < Population
3. The average mileage for driving inside city for all the cars manufactured by Toyota. Sample
4. 117 Toyota Camry (2020 US) cars that are sampled. Parameter
5. All the best selling cars in USA. Statistic
6. The average mileage in city for the 117 sampled Toyota Camry (2020 US) cars, that is, 27.8 mpg.
7. The average mileage of all Toyota Camry (2020 US) model cars.
Answer:
Explained below.
Step-by-step explanation:
A population is the set of all the data that can be collected and from which a smaller set of data is drawn for further examination. A population may denote to a group of individuals, articles, trials or measurements. A population can thus be called as a collection of information regarding subjects combined together by a common characteristic.
A sample denotes a smaller, controllable form of a larger cluster. It is a subset comprising of the characteristics of a bigger population. Samples are used in statistical experiments when the population under consideration is too large for the test to include all the members.
A parameter is a valuable element of statistical analysis. It denotes the characteristics that are used to define a given population. It is used to define a particular attribute of the population. For instance, population mean, population standard deviation, population proportion and so on.
While making a statistical conclusion about the population under study, the parameter value is unknown. This is because it would not be possible to gather data from every single member of the population. So a sample is selected from the population to derive a conclusion about the parameter.
A statistic is the value of the characteristics that are computed using this sample. For instance, sample mean, sample standard deviation, sample proportion and so on.
The matched pairs are as follows:
Population: 2. All Toyota Camry (2020 US) model cars.
Sample: 4. 117 Toyota Camry (2020 US) cars that are sampled.
Parameter: 7. The average mileage of all Toyota Camry (2020 US) model cars.
Statistics: 6. The average mileage in city for the 117 sampled Toyota Camry (2020 US) cars, that is, 27.8 mpg.
which of the following fractions is equivalent to 4/7 A 6/9 B 8/14 C 2/3 D 8\21
la function exponencial f(x) =2^x tiene intercepto en "y" al igual a
Answer:
f = 2 ^ x es cierto para todo y
What is the slope of the line y+4=1/2(x-3)
A. -3
B. 1/2
C. 1
D. 2
E. 3
F. 4
Answer:
The slope of the line is 1/2
Can you answer this for me
Answer:
5
Step-by-step explanation:
[tex]\sqrt(-3)^{2}+4^2[/tex]
[tex]\sqrt9+16[/tex]
[tex]\sqrt25[/tex]
a triangle with vertices at a 20 -30 b 10 -15. and c 5 -20 has beem dilated with a center of dilation at the origin the image of b point b has coordinates 2 -3 what is the scale factor of the dilation
Answer:
1/5
Step-by-step explanation:
When the dilation is centered at the origin, the dilation factor is applied to each pre-image coordinate to get the image coordinate.
k(10, -15) = (2, -3)
k = 2/10 = -3/-15 = 1/5
The scale factor of the dilation is 1/5.
Joanne has a cell phone plan that charges a flat rate of $97 and $0.10 for every text she sends. Her goal is to spend less than $113 on her phone bill each month. Which of the following describes the number of texts she sends? (2 points)
a at least 160
b no more than 160
c fewer than 160
d more than 160
How much heavier is the Black bear than the Key deer.
Answer:
How heavy is a full grown black bear?
2-3 feet at the shoulders and weights average 150 -300 pounds, with females smaller than males; some male bears weighing 700-800 pounds have been documented.
Step-by-step explanation:
HOPE THIS HELPED ✨
The weight difference between a female black bear and a female key deer is 80 or lower.
a female black bear can weight up to 180 pounds while a female key deer can weight up to 100 pounds.
the weight difference between a male black bear and a male key deer is 510 pounds.
a male black bear can weigh up to 660 punds while a male key deer can weigh up to 150 pounds.
Ian walks down a sloped path. After 6 minutes, he is 3 m above street level. Write the equation in slope-intercept form of the line that represents Ian’s height above street level, y, over time x, if he knows the path is parallel to another path with equation y = -2/3x + 12
Answer:
y=-2/3x+7
Step-by-step explanation:
Since you know the path is parallel to the equation y+-2/3x+12, you already know the slope is -2/3.
It says y is the height above street level, so that is 3. The problem says x is time, which is 6, so all you have to solve for is the y intercept.
3 (y, or the height above street level) = (-2/3) 6 (x, or time) + b (unknown y intercept)
3 = -4 + b
7 = b
So, y = -2/3x + 7
evaluate the expression 3 x when x equals negative 9
[tex]given \: that \: :[/tex]
[tex]x \: = - 9[/tex]
[tex]then \: 3x \: will \: be : [/tex]
[tex]3 \times x[/tex]
[tex]3 \times - 9[/tex]
[tex] = - 27[/tex]
[tex]∴3x = - 27 \: ( \: x \: = - 9)[/tex]
Does anyone know this please
I need help plzz I need the answer
Answer:
24cm
Step-by-step explanation:
you do length times width and you get 24
WhAt is 3.242424 as a mixed number
Answer:
3 30303/125000
Step-by-step explanation: