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
lisabon 2012 [21]
3 years ago
5

M is directly proportional to r squared when r=2 m=14 work out the vaule of m when r=12

Mathematics
1 answer:
Amanda [17]3 years ago
3 0

Answer: 504

Step-by-step explanation:

m is directly proportional to r squared.

m = k(r)^2 (1)

where m = 14

r = 2

k = constant of proportionality.

substituting the values into equation 1

14 = k (2)^2

14 = k4

divide both sides by 4

14/4 = k4/4

k = 3.5

to find m, when r = 12

from equation (1)

m = k(r)^2

m = 3.5 (12)^2

m = 3.5 (144)

m = 504.

You might be interested in
Here is a rectangle which has a width of x cm. x cm
miskamm [114]

Answer:

278.25 cm2

Step-by-step explanation:

If the width of the rectangle is x (cm), as the length is 8cm longer, so that the length of the rectangle is: x + 8 (cm).

In the attached image, we can see the length of each side. Total length of the sides are 90 cm.

=> (x + x + 8) + x + 8 + (x+8) + (x + x + 8) + x + 8 + (x +8) = 90

=> 8x + 48 = 90

=> 8x = 90 - 48 = 42

=> x =42/8 = 5.25 (cm)

=> The width of the rectangle is 5.25cm

=> The length of the rectangle is: 5.25 + 8 = 13.25 cm

=> The area of one rectangle is: Length x Width = 5.25 x 13.25 = 69.5625 cm2

As the 8-sided shape is made from 4 rectangles, so that:

Area of 8 sided shape = 4 x Area of the rectangle = 4 x 69.5625 = 278.25 cm2

6 0
3 years ago
Can someone explain these math questions to me
kolbaska11 [484]
Should be choice 1 x being your slope and y your y- intercept

4 0
3 years ago
Mary has 15 points with the total value of $1.75 if the coins are nickels and quarters how many of each kind are there
torisob [31]

Answer:

The number of nickel coins is 10 and the number of quarter coins is 5

Step-by-step explanation:

<u><em>The correct question is</em></u>

Mary has 15 coins with the total value of $1.75 if the coins are nickels and quarters how many of each kind are there

Let

x ----> the number of nickel coins

y ----> the number of quarter coins

Remember that

1\ nickel=\$0.05

1\ quarter=\$0.25

we know that

Mary has 15 coins

so

x+y=15 -----> equation A

The total value of the coins is $1.75

so

0.05x+0.25y=1.75 ----> equation B

Solve the system by graphing

Remember that the solution is the intersection point both graphs

using a graphing tool

The solution is the point (10,5)

therefore

The number of nickel coins is 10 and the number of quarter coins is 5

8 0
2 years ago
Frank invest $500 at a simple interest rate of 3%. How much interest will earn after 5 years
svet-max [94.6K]
He will earn 75 dollars


8 0
3 years ago
Read 2 more answers
Help asp! i will give branilest i think thats how you spell it
almond37 [142]
The answer is D! 4(2a + 3) = 8a + 12
3 0
3 years ago
Other questions:
  • A bag of marbles contains 5 red, 3 blue, 2 green, and 2 yellow marbles. What is the probability that you choose a red marble and
    6·2 answers
  • How many different four-letter strings can be formed from the letters A, B, C, D, E (repeats allowed) if the first letter must b
    7·2 answers
  • Transform the equation x-3y=-15 to express it in slope-intercept form
    7·1 answer
  • Sam measured the height of a window frame as 5.23 feet, but the actual height was 6 feet. What is the percentage of error in Sam
    5·2 answers
  • Solve for x:<br><br> 30 = 14 - 4(3 - x)
    13·1 answer
  • Change 290 degrees to radian measure in terms of pi.
    6·1 answer
  • Find the volume of the cylinder
    13·1 answer
  • Plzzzz help I’ve been stuck on this
    11·1 answer
  • The sides of a triangle measure 8 inches and 10 inches the triangle ha one 90 degree angle what type of triangle is it
    12·1 answer
  • i need help with these two graphs. you have to determine the slope and it would be helpful if anyone could show how they solved
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!