What is the answer to this question

P varies directly with the square of R. When R is 4, P is 56. Find the value of P when R is 6

Sav [38]

Hey!
The formula of direct variation is y = kx. So we know that p = kr^2
Hint: after it says varies, it's basically the equal sign.
so we can set it up
56 = 4^2k
56=16k
now we want k alone so we have to divide 16 on both sides
k=3.5
We can now solve for p like it asks
p = 3.5*6^2
p=126
There's your answer!
Hope this helps!

6 0

3 years ago

Consider this story problem: "Priscilla bought cheese that weighs ¾ pounds. If she divides it into portions that are each 1/8 po

Katena32 [7]

Answer:

4

Step-by-step explanation:

8 0

3 years ago

Which equations represent exponential growth? Which equations represent exponential decay? Drag the choices into the boxes to co

Norma-Jean [14]

Answer:

Exponential growth functions are:

$A=20000(1.08)^{t}$

$A=40(3)^{t}$

$A=1700(1.07)^{t}$

Exponential decay functions are:

$A=80(\frac{1}{2})^{t}=80(0.5)^{t}$

$A=1600(0.8)^{t}$

$A=1700(0.93)^{t}$

Step-by-step explanation:

Given:

An exponential function is of the form $y=ab^{x}$ , where, $a\ne 0$ .

Now, if a > 0 and b > 1, then the exponential function represent exponential growth.

If a > 0 and 0 < b < 1, then the exponential function represent exponential decay.

Let us check each function now.

Option 1: $A=20000(1.08)^{t}$

Here, $a = 20000, b = 1.08$

As 1.08 > 1, the function is exponential growth.

Option 2: $A=80(\frac{1}{2})^{t}=80(0.5)^{t}$

Here, $a = 80, b = 0.50$

As 0.5 < 1, the function is exponential decay.

Option 3: $A=1600(0.8)^{t}$

Here, $a = 1600, b = 0.8$

As 0.8 < 1, the function is exponential decay.

Option 4: $A=40(3)^{t}$

Here, $a = 40, b = 3$

As 3 > 1, the function is exponential growth.

Option 5: $A=1700(1.07)^{t}$

Here, $a = 1700, b = 1.07$

As 1.07 > 1, the function is exponential growth.

Option 6: $A=1700(0.93)^{t}$

Here, $a = 1700, b = 0.93$

As 0.93 < 1, the function is exponential decay.

5 0

3 years ago

A stray dog ate 25 of your muffins that was 5/6 of all of them with how many did you start?

Maru [420]

Answer:

30 = total muffins

Step-by-step explanation:

To determine how many muffins were eaten, we take the total muffins times the fraction that were eaten

eaten muffins = total muffins * fraction

25 = total muffins* 5/6

Multiply each side by 6/5

6/5*25 = total muffins *5/6*6/5

30 = total muffins

3 0

4 years ago

How do I get the answer??

Lubov Fominskaja [6]

Answer:

4√10

Step-by-step explanation:

Hello!

Let's first simplify the radical.

We can do this by expanding the radical:

We need to pull out a perfect square factor to expand a radical and simplify it. In 45, we have 9 and 5 multiplied, and 9 is a perfect square.

Let's work with √45:

√45 can be written as √9 * √5 (using the rule √ab = √a * √b)
√9 simplifies to 3, so it is 3√5

Now we can simplify the operation in the parenthesis by combining like terms:

3√5 + √5
√5 + √5 + √5 + √5
4√5

Now using the same rule as above, we can multiply the values:

√2(4√5)
4√10

Your solution is 4√10

3 0

2 years ago