If a varies directly with x squared, and a = 8 when x = 4 find the constant variation of k

Answers

Answer 1

Answer:

k = 0.5

Step-by-step explanation:

Given a varies directly with x² then the equation relating them is

a = kx² ( k is the constant of variation )

To find k use the condition a = 8 when x = 4 , then

8 = k × 4² = 16k ( divide both sides by 16 )

0.5 = k


Related Questions

If it is -31°F in one city and in another city it is
83°, what is the temperature difference
between the two cities?

Answers

Answer:

52 degrees apart

Step-by-step explanation:

52 degrees is the correct answer

Find the volume of the cylinder. Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi radius 5 height 6

Answers

Answer:

150π cu. units

Step-by-step explanation:

V = Bh where B is the area of the circular base and h is the distance between the bases (height)

B = [tex]\pi r^{2}[/tex] = [tex]\pi 5^{2}[/tex] = 25π

V =  25π(6) = 150π cu. units

Answer: V = 471 m^3

In terms of PI - V = 150 π m^3

Step-by-step explanation:

V = πr2h

V = 3.14(5)^2(6)

V = 3.14(25)(6)

V = 471 M^3

or  

V = 3.14 (25)(6)

V = 150 π m^3

What is the surface area of the cylinder with height 4 mi and radius 3 mi? Round your answer to the nearest thousandth.

Answers

Answer:

The surface area of the cylinder will be "131.88".

Step-by-step explanation:

The given values are:

Height of cylinder,

h = 4 m

Radius of cylinder,

r = 3 m

As we know,

The surface are of cylinder is:

⇒  [tex]A_s=2 \pi r(h+r)[/tex]

On substituting the values, we get

⇒       [tex]=2\times 3.14\times 3(4+3)[/tex]

⇒       [tex]=18.84\times 7[/tex]

⇒       [tex]=131.88[/tex]

How many sides does a polygon have?

Answers

Answer:

it can have any about 3 and up as long as it is a 2d shape and it has to have straight lines

Answer:

They all vary. All a polygon needs is straight sides, two dimensions, and equal length sides.

Step-by-step explanation:

Hope this helps!

No links or trolls please. I need help with this math, it’s due soon. Thanks you. It’s a division sign by the way, it’s hard to see in the photo.

Answers

Answer:

n^2p

Step-by-step explanation:

Thats the answer

GIVING BRAINLIEST!!!!!!!!!!!PLS HELP :((


In which step does a mistake First occur? 8+2+(3X 3-2)

Step1: 8+2+(3x1)
Step2: 8+2+3
Step3: 4+3
Step 4: 7

Answers

Answer:

step 2 he divded the 8 by 2

Step-by-step explanation:

There IS a mistake

8+2 is 10

so 10+3 is equal to 13

Math hey guys can somebody please help me out here

Answers

the answer would be C

braineliest ;)

The middle school band has a boy to girl ratio of 4:6.
The band had 20 members last year and 25 members this year.
How many girls and how many boys are in the band in each of these two years?

Last year: 8 boys and 12 girls. This year: 10 boys and 15 girls.
Last year: 12 boys and 8 girls. This year 13 boys and 12 girls
O

Last year: 8 boys and 12 girls. This year: 12 boys and 13 girls.

Last year: 12 boys and 8 girls. This year 15 boys and 10 girls

Answers

Answer:

last year 8 boys 12 girls and this year 10 boys 15 girls

Step-by-step explanation:

ratio = 4:6

total ratio = 6 +4 =10

last year

ratio 1 = 20 ÷ 10 = 2

boys = 2 × 4 = 8

girl = 2 × 6 = 12

this year

ratio 1 = 25 ÷ 10 = 2.5

boys = 2.5 × 4= 10

girls = 2.5 × 6 = 15

Find the mean of the following numbers.
14, 17, 21, 28, 40

Answers

the mean should be 24
24

14 + 17 + 21 + 28 +40 / 5
120 / 5
24

the ravens scored 1 touchdown and an extra point . how many total points did they score

Answers

the ravens scored 7 points

Finit set:
1+2+3+........+25=??

Answers

Answer:

Finite set: A set is said to be a finite set if it is either void set or the process of counting of elements surely comes to an end is called a finite set.

In a finite set the element can be listed if it has a limited i.e. countable by natural number 1, 2, 3, ……… and the process of listing terminates at a certain natural number N.

The number of distinct elements counted in a finite set S is denoted by n(S). The number of elements of a finite set A is called the order or cardinal number of a set A and is symbolically denoted by n(A).

Thus, if the set A be that of the English alphabets, then n(A) = 26: For, it contains 26 elements in it. Again if the set A be the vowels of the English alphabets i.e. A = {a, e, i, o, u} then n(A) = 5.

Step-by-step explanation:

1+2+3+4+5+6..........23+24+25=325

I fly like paper get high like planes

Answers

Answer:

If you catch me at the border I got visas in my name

If you come around here, I make 'em all day

I get one done in a second if you wait

Step-by-step explanation:

Eric is going to visit his grandmother, who lives about 250 miles away. He travels at
a speed of 55 miles per hour. About how many hours will it take him to get there.
Can someone explain please :)

Answers

Answer:

4.55 hours (rounded to the nearest tenth)

Step-by-step explanation:

If you take 250 and divide it by 55 you get 4.5454 repeating. Round to the nearest tenth and you get 4.55 hours.

Simplify. 9 - 5x + 8 - 4x

Answers

Answer:

− 9 + 1 7

Step-by-step explanation:

Hope this helps!

Complete the system of linear equations so that there are infinitely many solutions.

Y= -3/5x + 2

blank x+ blank y=20
PLEASE HELPPPPPPP WILL GIVE BRAINLIEST

Answers

Answer:

y-intercept:

(0,2) or just -3/5

Step-by-step explanation:

Answer:

3x + 5y = 2

Step-by-step explanation:

y = -3/5 x + 2

multiply both sides by 5

5y = -3x + 2

add 3x to both sides

3x + 5y = 2

note: if it really has to be equal to 20, then multiply both sides by 10, which will result in 30x + 50y = 20

Select the best answer 101
2. Which of the following is an example of a proper fraction?
A.7/6
B. 4/3
C.4/4
D.3/4

Answers

A example of a Proper fraction is D =3/4

Find the area of each figure. Round to the nearest tenth if necessary.

Answers

Answer:

64 cm²

Step-by-step explanation:

(12*4.5)+(2*5)= 54+10=64

I need answer by 2:25!!!! Please hurry!!!!!

x=-2, y=5, z=3.

X^4-5y+2(x-z)^2.
A. 50.
B. -41.
C.41.
D. 63

Answers

Answer:

C

Step-by-step explanation:

-2^4-5(5)+2(-2-3)^2

16-25+2(25)

16-25+50

41

I had to ask this again
Can someone help me please

Answers

Where the graphs of the functions intersect it represents the number of weeks when they have both saved the same amount of money. So by solving the system we can find the number of weeks and that amount of money.

y = x^2 + 2x

y = -3x + 6 so

x^2 + 2x = -3x + 6

x^2 + 5x - 6 = 0

(x + 6)(x - 1) = 0

So x = 1  ( we ignore the negative)

So after 1 week  they have saved the same amount  and the amount is -3 + 6 = 3.

Are you sure that -3x + 6 is right - because Sarah does not save anything after year 1 . The equation has a negative slope!!

Answer:

x=5

Step-by-step explanation:

35+4x=x^2+30

collect the like terms n form a quadratic equation

x^2-4x-5=0

solve the quadratic equation

x=5  or x=-1

ignore the negative answer bcz week cant be negative

So the answer is 5 weeks

Can someone help me with this. Will Mark brainliest. Need answer and explaination/work. Thank you.

Answers

You need to get graphing paper

Answer:

This quadrilateral is a parallelogram because the slopes of the opposite sides equal eachother.

Step-by-step explanation:

To prove this quadrilateral is a parallelogram you want to show that the opposite sides are parallel by finding the slopes of each. Which means the parallel lines have to have the same slopes if it is a parallelogram.

To find slope we use M= Y1-Y2/X1-X2

Lets start with A and B

M=7-8/2-(-2)

so M= -1/4 for Line AB

Now lets find C and D

M=2-1/1-5

so M=-1/4 for line CD

So this quadrilateral is a parallelogram because the slopes of the opposite sides equal eachother.

12) Amusement Parks A thrill ride at an amusement park carries riders 160 feet straight up and then releases them for a free fall. The time t in seconds that it takes an object in free fall to reach the ground is t =
[tex] \sqrt{ \frac{d}{16} } [/tex]
where d is the distance in feet that it falls. How long does it take the riders to reach the ground? Give your answer as a radical expression in simplest form. Then estimate the answer to the nearest tenth of a second. ​

Answers

Answer:

sqrt(10)

Step-by-step explanation:

sqrt(160)/16

sqrt(16)sqrt(10)/sqrt(16)

4sqrt(10)/4

sqrt(10)


What is the radius of these cylinders?

Answers

Answer:

sorryyyyy i really dont know

what is 3^ 81^5=3^ please

Answers

Answer:

             

Step-by-step explanation:

             

1/8 plus 1/4 equals.

Answers

Answer:

3/8

Step-by-step explanation

Please just use a calculator

Answer:

0.375

Step-by-step explanation:

What is the area of the figure below?
3 in.
3 in.
5 in.
5 in.
3 in.
3 in.
7 in.

Answers

The answer to your question is 67

Answer:

68 inches squared

Step-by-step explanation:

First, let's find the area of the squares at the top and bottom. Area for a square is:

L * W = A

Plug in the values...

3 * 3 = 9

Therefore, the area of the two squares combined is 18 inches (since 9 + 9 = 18). Now, the hexagon in the middle, which is the hardest part. We will have to separate it into 4 triangles and a rectangle, for simplification. We need to find the base widths of the triangles, which are:

7 (total width) - 3 (middle width) / 2 (because there are two sides)

So it is:

(7 - 3)/2

4/2 = 2

So, the base of the triangle is two inches. We also know that the height of the triangle is five inches. The formula for the area of a triangle is:

(B * H)/2 = A

Fill it in...

(2 * 5)/2

10/2 = 5 inches

So, the area of each triangle is 5 inches. Since there are four triangles, we need to do:

5 * 4 = 20 inches

That means that all of the triangles combined is 20 inches. Lastly, we need the middle part of our hexagon. It is 10 inches tall, and three inches wide. So...

L * W = A

10 * 3 = 30

So, that means that the area of the hexagon is:

30 + 20 = 50

Plus, the two squares from the beginning:

50 + 18 = 68 inches squared

Therefore, the area of the figure is 68 inches. Hope this helps you!

Functions and Graphing complete each table

Answers

Answer:

table 1: -4,0,4,8. table 2: -3,-1,1,3 table 3: 1/3,0,-1/3,-2/6

Step-by-step explanation:

What fraction does point S represent?

Answers

Answer:

C

Step-by-step explanation:

So what you gotta do is count the lines. You don't count the one with one on it, but you count all the way through to 2. That gets you eight, so each line is 1/8. 1-2 in 1/8 intervals. 1 1/4 multiply 2 on the numerator and denominator gets 1 2/8, 1 1/2 multiply 4 on the numerator and denominator gets you 1 4/8. Counting the lines, each of those matches up. The first interval is 1 1/8.

Find the solution to the following: *
Enter your solution in the following format x = solution. (Ex: x = 5)
8x+10=2(4x+5)
Find the solution to the following: *
Enter your solution in the following format x = solution. (Ex: x = 5)
3x-8=2(x-4)

Answers

Answer:

First one: x = all real numbers

Second one: x = 0

Step-by-step explanation:

for the first one

given 8x+10=2(4x+5) we need to isolate the variable (x) using inverse operations

step 1 distribute the 2 to what is in the parenthesis ( 4x and 5 )

2 * 4x = 8x

5 * 2 = 10

now we have 8x + 10 = 8x + 10

step 2 subtract 8x from each side

8x - 8x = 0

8x - 8x = 0

now we have 10 = 10

subtract 10 from each side

10 - 10 = 0

10 - 10 = 0

we're left with 0 = 0 meaning that all real numbers are solutions

For the second one

given 3x-8=2(x-4) once again we need to isolate the variable using inverse operations

step 1 distribute the 2 to what is in the parenthesis (x - 4)

2 *x = 2x

2 * -4 = -8

now we have 3x - 8 = 2x - 8

step 2 add 8 to each side

-8 + 8 = 0

-8 + 8 = 0

now we have 2x = 3x

step 3 subtract 2x from each side

3x - 2x = x

2x - 2x = 0

we're left with x = 0

The figure shown is created by joining two rectangles.
1.25 ft
2.25 ft
3.5 ft
2 ft
3.5 ft
Enter the area, in square feet, of the figure.

Answers

We need to see a picture for this one

The area of a room is 425 square feet. The length is (x+9) feet and the width is (x+1) feet. Find the dimensions of the room.​

Answers

Answer:

width is 17

length is 25

Step-by-step explanation:

(x+9)(x+1) =[tex]x^{2}[/tex]  + 10x + 9 = 425

[tex]x^{2}[/tex]  + 10x - 416 = 0

(x-16)(x + 26) = 0

x = 16 or x = -26

x  cannot be -26

x = 16

so, (16 + 1) = 17

      (16 + 9) = 25

Other Questions
Haruto gave 42 of his paycheck to his mother. If his paycheck was 855 how much money did he give to his mother What is the precent to decrease from 400,000 to 60,000? A garden measuring 22 m by 26 m is to have a pedestrian pathway that is w meters wide installed all the way around it, increasing the total area to 780 square metersa. Draw a picture. b. Write an equation that can be used to determine the width, w of the pathway. c. Explain how this equation models the situation. d. Use this equation to solve for the width of the pathway Your friend has written an academic summary for her English assignment. She is almost done and is happy with the content, but she asks you to proofread her document. What kinds of errors should you look for while proofreading? define constant human resources 27)Natural selection produces changes most quickly inA)species with short reproductive cyclesB)complex multicellular organismsC)individuals that produce a small number of offspringD)individual pathogens killed by antibiotics A man wants to build around water fountain with diameter, d = 11.28 feet. The man is trying to put up a fence around the build with some wire. What is the length of the wire that the man needs to complete the task? knees caving inward during a squat is also known by what term? A leather jacket and printing paper are examples of what resources renewable or nonrenewable Indigenous religions are:Select one:the religion of the Catholicstraditional beliefs held by Native peoplesbeliefs held by the wealthiest members of societybeliefs held by Mestizos The Treaty of Versailles required Germany pay a huge sum of money (called reparations), to the winners of the Great War which were France, Britain/England, etc... True False Can any one sort these words into past present and future?Walked, tap, push, paint, play, open, close, pull. Find the zeros from the factored form Quadratic Equation y=-x(x-3) ( ,0) & ( ,0) Find the slope of the line passing through the points (-6-9) and (9,-9)Find the slope of the line passing through the points (4,1) and (4,-5). What were the results of Caudles experiment? What is the probability that the spinner will not land on a 5 or 8? 5 points Can someone help me? PLEASE HELP ME!! I WILL GIVE BRAINLIEST. ITS DUE IN AN HOUR Need help asap!!!!!!!!!!!!!!!!!!!!!!!!!!!!! Melissa works at Best Buy and gets paid $250 a week pluscommission. She earns $15 for every cell phone she sales.Which function can be used to find t, the amount of moneyMelissa will receive on her weekly paycheck for selling nnumber of cell phones?A.t=250x + 15C. t = 15xB.t = 15x + 250D. Not Here