Y is directly proportional to x squared if y=20 when x=2 find y when x= 5

Answers

Answer 1

Answer:

y = 125

Step-by-step explanation:

Given that,

y is directly proportional to x² i.e.

[tex]y=kx^2[/tex]

k is a constant of proportionality

Put y = 20 and x = 2 in the given equation to find k.

[tex]k=\dfrac{y}{x^2}\\\\k=\dfrac{20}{(2)^2}\\\\k=5[/tex]

Now put k = 5 and x = 5 in the given equation to find y.

[tex]y=5\times (5)^2\\\\y=125[/tex]

So, the value of y is equal to 125.


Related Questions

find the value of n the equation 1/2(n+4)=6​

Answers

Answer:

n = 8

Step-by-step explanation:

1/2(n + 4) = 6

1/2 of n + 2 = 6

6 - 2 = 4

4 × 2 = 8

1/2 of 8 + 2 = 6

4 + 2 = 6

n = 8

the answer is n=8 for this problem

A large rectangular movie screen in an IMAX theater has an area of 7,875 square feet. Find the dimensions of the screen if it is 30 feet longer than it is wide.

Answers

Answer:

Width=75

length=105

Step-by-step explanation:

Width=x

length=30+x

= 7875=x*30+x

x^2+30x-7875=0

x^2+105x-75x-7875=0

x(x+105)-75(x+105)=0

Triangle R Q S is cut by line segment T V. Line segment T V goes from side Q R to side R S. The length of R V is x + 10, the length of V S is x, the length of R T is x + 4, and the length of T Q is x minus 3. Which value of x would make Line segment T V is parallel to Line segment Q S?
PLEASE HURRY

Answers

9514 1404 393

Answer:

  x = 10

Step-by-step explanation:

In order for TV to be parallel to QS, it must divide the sides of the triangle proportionally.

  RT/TQ = RV/VS

  (x+4)/(x-3) = (x+10)/(x)

  1 +7/(x-3) = 1 +10/x . . . . expand each fraction

  7/(x -3) = 10/x . . . . . . . . subtract 1

  7x = 10(x -3) . . . . . . . . . cross multiply

  30 = 3x . . . . . . . . . . . . add 30-7x, simplify

  10 = x . . . . . . . . . . . . . . divide by 3

The value of x that makes the segments parallel is 10.

_____

Alternate solution

You can cross multiply the first fraction we wrote to get ...

  x(x +4) = (x -3)(x +10)

  x^2 +4x = x^2 +7x -30 . . . eliminate parentheses

  30 = 3x . . . . . . subtract x^2+4x-30 from both sides

Answer: C. 10

Step-by-step explanation:

i got it right on the test

13,406,109 pennis into dollars

Answers

Answer:

$134,061.09

Step-by-step explanation:

hope this helps

Answer:

134,061.09

Step-by-step explanation:

Divide 13,409,109 by 100

$134,061.09

This can also be expressed as 134, 061 dollars, and 9 pennies.

There are 15 students on the chess team. Seven of the students are in the fourth grade.

Which shows the fraction of the team that is in the fourth grade?

A.

4

5

B.

7

15

O

C

8

15

OD. 15

7

Answers

Answer:

7/15 (B)

Step-by-step explanation:

7 fourth graders out of 15 total = 7/15

Which line has a slope of -1/2?

Answers

Line d passes through (-4,0) and (0,-2) .
Slope = (-2-0)/(0-(-4)) = -½

I need help with this

Answers

45 because they are supplementary equal they are parralel

The membership fee at a sports club was $600 per year. Each year, the membership fee increased by 7%.
Which equation models the cost of the membership fee, y, after 2 years?

Answers

Answer:

600(1.07)^2=y

Step-by-step explanation:

The area of a circle is 100π ft². What is the circumference, in feet? Express your answer in terms of π.

Answers

Answer:

Answer: 20pi is the circumference

Step-by-step explanation:

The circumference of the circle is 20π ft when the area of the circle is 100π ft².

What is circle?

A circle is a locus of the points drawn at an equidistant from a fixed point. The fixed point is called Centre of the circle and the distance from the fixed point to the circle is called radius.

Given, area of a circle is 100π.

Therefore,  πr² =100π, where r is the radius of the circle.

So, r²=100

Thus, r= 10 ft.

now, circumference = 2πr

                                  =2π×10

                                  =20π ft.

To learn more about circle click here:

https://brainly.com/question/21280267

#SPJ3

Leon’s older brother is 4 3/4 feet tall Leon is a 1/3 foot shorter than his brother how. tall is Leon?

Answers

Answer:

Leon is 4 5/12

Step-by-step explanation:

4 3/4 - 1/3 change 4 4/12 - 4/12 = 4 5/12

What is the perimeter of a rectangle with two lentghs of 5

Answers

Answer:

20

Step-by-step explanation:

in perimeter you have to add all the sides but rectabgless all have the same size so 5 x 4 since rectangle has 4 sides equls 20 so 20 is the answer

PLEASE HELP GEOMETRY

Answers

Answer:

Step-by-step explanation:

In one building, an elevator takes 15 seconds to go up 5 floors.
In another building, an elevator goes up for 60 seconds at the
same rate. How many floors did the elevator in the second
building travel?

Answers

Answer:

20 floors

Step-by-step explanation:

15 sec to go up 5 floors is climbing one floor every 3 seconds

3 sec x 20 = 60 seconds

1 fl x 20 = 20 floors

5x-11=24
????????????

Answers

Answer:

x= 7

Step-by-step explanation:

5x-11=24

  +11   +11

5x   =  35       35/5 = 7        x=7

5(7) - 11 = 24

35 - 11 = 24

Answer:

x=7

Step-by-step explanation:

5x7= 35

35-11=24

5x7-11=24

hope this helps!!!

If a watch costs $40 and you must pay 6.5 % sales tax, how much will the tax be?
Please give me the correct answer this is for a test and im on a time limit :(

Answers

Answer:

$2.60

Step-by-step explanation:

40 x 0.065 = $2.60

Answer:

the tax would be 2.60$

Step-by-step explanation:

6.5% of 40 is 2.6

(6.5 x .40=2.6)

How many 1/3 are in 2 3/4?

Answers

Answer: For example, in order to explain why 1/3 + 1/4 = 7/12, we considered the task of dividing 7 apples between 12 boys under the restriction that an apple ... How many halves are in the whole? ... 1 = 3 × 1/3, 2 = 6 × 1/3, 3 = 9 × 1/3, 4 = 12 × 1/3.

Step-by-step explanation:

boom your nice wanna be my friend

f (x) = 5x -3 what is f (5) =

Answers

Answer:

22is answer

f (x) = 5x -3

f (5) =5×5-3=25-3=22

Answer:

5

Step-by-step explanation:

f(x)=5x−3

The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of ax^n  is nax^n−1 .

5x^1−1

Subtract 1 from 1.

5x^0

For any term t except 0, t^0 =1.

5×1

For any term t, t×1=t and 1t=t.

5

Find the area of the figure

Answers

Answer:

Step-by-step explanation:

Just add it

Find the length of side x in simplest radical form with a rational denominator

Answers

Answer:

[tex] x = \sqrt{2} [/tex]

Step-by-step explanation:

[tex] \tan 30 \degree = \frac{x}{ \sqrt{6} } \\ \\ \frac{1}{ \sqrt{3} } = \frac{x}{ \sqrt{6} } \\ \\ x = \frac{ \sqrt{6} }{ \sqrt{3} } \\ \\ x = \frac{ \: \sqrt{3} \times \sqrt{2} }{ \sqrt{3} } \\ \\ x = \sqrt{2} [/tex]

Formula for parallelogram law of addition

Answers

Answer:

answers?

Step-by-step explanation:

Exercise 2.4.2: Proving statements about rational numbers with direct proofs. About Prove each of the following statements using a direct proof. (a) The product of two rational numbers is a rational number. Solution (b) The quotient of a rational number and a non-zero rational number is a rational number. Solution (c) If x and y are rational numbers then is also a rational number.

Answers

Answer:

See Explanation

Step-by-step explanation:

(a) Proof: Product of two rational numbers

Using direct proofs.

Let the two rational numbers be A and B.

Such that:

[tex]A = \frac{1}{2}[/tex]

[tex]B = \frac{2}{3}[/tex]

The product:

[tex]A * B = \frac{1}{2} * \frac{2}{3}[/tex]

[tex]A * B = \frac{1}{1} * \frac{1}{3}[/tex]

[tex]A * B = 1 * \frac{1}{3}[/tex]

[tex]A * B = \frac{1}{3}[/tex]

Proved, because 1/3 is rational

(b) Proof: Quotient of a rational number and a non-zero rational number

Using direct proofs.

Let the two rational numbers be A and B.

Such that:

[tex]A = \frac{1}{2}[/tex]

[tex]B = \frac{2}{3}[/tex]

The quotient:

[tex]A / B = \frac{1}{2} / \frac{2}{3}[/tex]

Express as product

[tex]A / B = \frac{1}{2} / \frac{3}{2}[/tex]

[tex]A / B = \frac{1*3}{2*2}[/tex]

[tex]A / B = \frac{3}{4}[/tex]

Proved, because 3/4 is rational

(c) x + y is rational (missing from the question)

Using direct proofs.

Let x and y be

Such that:

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

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

The sum:

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

Take LCM

[tex]x + y = \frac{3+4}{6}[/tex]

[tex]x + y = \frac{7}{6}[/tex]

Proved, because 7/6 is rational

The above proof works for all values of A, B, x and y; as long as they are rational values

Find the measure of CD.
mCD= [?] degrees

Answers

Given:

A circle with radius 7 units and chord CD = 7 units.

To find:

The measure of arc CD.

Solution:

Let O be the center of the circle.

In triangle OCD,

[tex]OC=7[/tex]            (Given)

[tex]OC=OD=7[/tex]          (Radii of same circle)

[tex]CD=7[/tex]            (Given)

Since [tex]OC=CD=OD[/tex] all sides are equal, therefore, the triangle OCD is an equilateral triangle.

Measure of each angle of an equilateral triangle is 60 degrees. So,

[tex]m\angle COD=60^\circ[/tex]

The measure of central angle is equal to the measure of corresponding arc.

[tex]m(arcCD)=m\angle COD[/tex]

[tex]m(arcCD)=60^\circ[/tex]

Therefore, the measure of arc CD is 60 degrees.

Zack has an old car. He wants to sell it for 60% off the current price. The market price is $500. How much money would he receive in exchange for the car if he were able to sell it at that rate? What if he wanted to sell it for 25% more than the market price?

Answers

300 and 625

60% of 500 is 300

So if Zack wanted to sell the car 60% of the markets price, it would be 300.

125% of 500 is 625

If Zack wanted to sell the car for 25 more than the price at market, it would be 125%, and 125% of 500 is 625.

Can someone help me find the distance between the points (-5,3) and (-4,2)


Answers

Answer: 1.4142

Step-by-step explanation:

Input Data :Point 1 (xA,yA) = (-5, 3) Point 2(xb,yB) = (-4, 2)

Objective : Find the distance between two given points on a line?

Formula :Distance between two points = √(xB-xA)^2+(yB−yA)^2

Solution :

Distance between two points =  √(−4−−5)2+(2−3)2= √12+(−1)2= √1+1= √2 = 1.4142

Distance between points (-5, 3) and (-4, 2) is 1.4142

May I please have brainlest I'm trying to achieve a new rank

Find the volume of the cylinder and cone, then add them together.

Answers

Solution :

Volume of cylinder :-

V = πr²h

Here,

r is radius h is height

We have :

r = 2cm h = 7cm

Substituting the values :

> V = π (2 × 2) × 7

> V = 4π × 7

> V = 28π

Volume of cone :-

V = ⅓ π²h

We have :

r = 2cm h = 6 cm

Substituting the values :

> V = ⅓ × π × (2 × 2) × 6

> V = ⅓ × π × 4 × 6

> V = ⅓ × π × 24

> V = 8π

According to the question :-

Adding them together,

> Total Volume = 8π + 28π

> Total Volume = 36π

[tex]Total \: \: \: Volume = (88+176) {cm}^{2} \\ \\ = 264 {cm}^{2} .[/tex]

Find the midpoint of A and B where A has coordinates (8,5)
and B has coordinates (3, 7).

Answers

Answer:

Step-by-step explanation:

Average of x-coordinates = (8+3)/2 = 5.5

Average of y-coordinates = (5+7)/2 = 6

Midpoint at (5.5,6)

What is the product?

213 × 314

Answers

Answer:

66882

Step-by-step explanation:

Answer:

product

Step-by-step explanation:

213×314=66,882

An object that weighs 18 pounds on Mercury weighs approximately 60 pounds on Earth. A rock weighs 120 pounds on Mercury. What is the approximate weight of the rock, in pounds, on Earth

Answers

Answer: 400

Step-by-step explanation:

I'm not sure 400

Find the slope of the line passing through the points (-2,-3) and (2,5) 

Answers

Answer:

Undefined

Step-by-step explanation:

E=mc squared m=3 c=6

Answers

Answer:

E = 108

Step-by-step explanation:

E = 3 * [tex]6^{2}[/tex]

= 108

Answer:

e=mc^2 if m=3 and c=6

e=3([tex]6^2[/tex])

e=3[tex](36)[/tex]

e=108

Step-by-step explanation:

hope this helps have a good rest of your day/afternoon :) ❤

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