1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
fomenos
3 years ago
12

p is directly proportional to the square of q. it is known that p=12 for a certain value of q. find the value of p when q is dou

bled ​
Mathematics
1 answer:
OLEGan [10]3 years ago
6 0
<h3>Answer:   p = 48</h3>

===========================================================

Explanation:

We're told that "p is directly proportional to the square of q", which means that we have the equation

p = k*q^2

for some constant k

Replace p with 12 because we're also told that p = 12.

So we now have this equation

12 = k*q^2

which is the same as

kq^2 = 12

We'll use this later.

-----------------------

Let's go back to the original equation. We'll replace q with 2q to represent the value of q doubling

p = k*q^2

p = k*(2q)^2 ... replace q with 2q

p = k*4q^2

p = 4k*q^2

p = 4*(kq^2)

p = 4(12) ...... replace kq^2 with 12

p = 48

Therefore, if q is doubled, then p = 12 quadruples to p = 48.

You might be interested in
Mulch to cover a rectangle garden cost $48. Mulch is needed to cover a larger,similar garden. the ratio of dimensions 2:3. how m
Annette [7]
It would cost $72 dollars to cover the larger garden
7 0
3 years ago
What is the solution to this system of equations?
Maurinko [17]

Answer:

  (x, y) = (5, -2)

Step-by-step explanation:

A graphing calculator provides a quick and easy way to find the solution.

_____

There are several other ways to solve these equations. Or you can estimate where the answer might be using logic like this:

The intercepts of the first equation are ...

  • x-intercept = 26/4 = 6 1/2
  • y-intercept = -26/3 = -8 2/3

So the graph of it will form a triangle with the axes in the 4th quadrant.

The intercepts of the second equation are ...

  • x-intercept = 11/3 = 3 2/3
  • y-intercept = 11/2 = 5 1/2

So the graph of it will form a triangle with the axes in the 1st quadrant. The x-intercept of this one is less than the x-intercept of the first equation, so the two lines must cross in the 4th quadrant.

The only 4th-quadrant answer choice is (5, -2).

3 0
3 years ago
The store paid $2. 70 for a book and sold it for $6. 20. What is the profit as a percent?.
bogdanovich [222]

Answer:

profit = 129.63% (to the nearest hundredth) as a percent of the price the store paid for the book

Step-by-step explanation:

Use the percentage change formula:

percent change = [ (difference between the initial value and the final value) ÷ initial value] x 100

= [ (6.20 - 2.70) ÷ 2.70 ] x 100

= [ 3.5 ÷ 2.70 ] x 100

= 37/27  x 100

= 129.6296296...

= 129.63% (to the nearest hundredth)

5 0
2 years ago
What add up to get 1 but multiplies to get -42
Tems11 [23]

Answer:

7 and -6

Step-by-step explanation:

7 + (-6) = 1

7 * (-6) = -42

6 0
3 years ago
state which basic Property of addition or multiplication justifies truth of the mathematical expressions 0+7y+2=7y+2
dlinn [17]
The given equation is:

0 + 7y + 2 = 7y + 2

This equation is showing that addition of 0 leaves the expression unchanged. 0 is known as the Additive Identity this means if we add or subtract 0 from any expression, number or equation the result won't be changed.

Therefore, the equation satisfied the property of Additive Identity of Real Numbers.  
8 0
3 years ago
Other questions:
  • I need help draw a array to represent the problem 5 x 8
    13·1 answer
  • What are the odds of spinning blue?
    7·1 answer
  • 4 divided by 457 is what
    8·2 answers
  • I need help am i correct
    14·2 answers
  • Find the product. -8x5y2 · 6x2y
    10·1 answer
  • Can someone Help me with this Question.
    6·1 answer
  • sea level is Rising by about 2.84 x 10 to the negative 3rd power meters per year at this rate how much will the sea level rise i
    13·1 answer
  • Blue toy cars cost $1 each and red toy cars cost $1.50 each. Mark spent $10
    8·1 answer
  • Which equation is correct regarding the measure of
    11·1 answer
  • CAN SOMEONE HELP ME PLEASE ASAP!?
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!