Is the spinner described below a fair spinner? If yes, explain why. If not describe a change that could make the spinner fair

Find the rate of change of the area of a square with respect

Romashka [77]

Let the side length of the square be x, then A = x^2
but diagonal (z) = sqrt(2x^2)
z^2 = 2x^2
x^2 = 1/2 z^2

Thus, A = 1/2 z^2
dA/dz = 1/2 (2z) = z
The rate of change is z.

When z = 4, the rate is 4.

4 0

4 years ago

of 320 consumers polled, some purchase blu-ray movies, some only purchase movies on dvd, and some do both. if 300 people polled

Helga [31]

Answer:

20 people only buy dvds.

Step-by-step explanation:

There are two groups in this problem. One group of people that buys dvds and one that buys blu rays. The total amount of people who buy blu rays is 300, but there's an intersection between the groups and the size of this is 280 people who actually buy both. In order to find out how many people only buy DVDs we first need to figure out how many only buy blu-rays. That is:

people who only buy blu rays = people who buy blu rays - people who buys blu rays and dvds

people who only buy blu rays = 300 - 280 = 20

We can now calculate the amount of people who only buy dvds and that is:

people who only buy dvds =total amount of people - ( people who only buy blu rays + people who buy both)

people who only buy dvds = 320 - (20 + 280) = 320 - 300 = 20 people

3 0

3 years ago

1 4/11 dividedd by 1 1/4

Gwar [14]

The answer is 1 1/11

5 0

3 years ago

Read 2 more answers

The bottle is completely full at 11:40 a.m. Which statements help explain this result? Check all that apply. The bottle was 1/2

Delicious77 [7]

Answer:

Step-by-step explanation:

Given that bottle was half full at 11.35 a.m. and full at 11.40 a.m.

This implies it takes 5 minutes for the liquid to double.

This is confirmed by the statement that before 5 minutes i.e. at 11.30 the bottle was only 1/4 full.

Hence true statements would be:

1) The bottle was 1/2 full at 11:35 a.m. and doubled again after 5 minutes.

2) The bottle was 1/4 full at 11:30 a.m. and doubled twice after 10 minutes. The bottle was 1/2 full at 11:35 a.m.

3) Exponential growth involves a constant multiplicative rate of change.

(The rate cannot be additional as we get 2 times every 5 minutes)

5 0

3 years ago

Read 2 more answers

I need help with exercises 3,4, and 6 please show all work and don’t answer number 5 just tell me if it is correct

joja [24]

*If you need me to do #5, DM me!

3. The area of a triangle can be given by (just plug and chug as always):
$A_t = \frac{1}{2} bh = \frac{1}{2}(3)(4) = 6ft^2$
The area of the triangle is 6ft².

4. I will divide into a triangle and a rectangle (because the actual equation for the area of a pentagon requires it to be a perfect pentagon). Let's do the triangle first (height is 3 because you subtract 12 from 15):
$A_t = \frac{1}{2} bh = \frac{1}{2}(8)(3) = 12m^2$
$A_r = bh = 12(8) = 96m^2$
Now we just add them:
$96+12 = 108m^2$

So, the area of that pentagon is 108m².

5. You are actually wrong on this one because the area of a triangle is:
$A_t = \frac{1}{2}bh$
So, just halve your answer and it will be correct.

6. We can just split it into 4 triangles of equal area and then multiply the area of 1 triangle by 4 to get the total area. Let's do just that:
$A_t = \frac{1}{2}bh = \frac{1}{2}(2.5)(5) = 6.25cm^2$
Multiply by 4 to get total area:
$6.25*4 = 25cm^2$

So, the area of the given rhombus is 25cm².

8 0

4 years ago