Can someone help me with question 7

Answer:

0     7

1     7.20

2    7.40

3    7.60

Step-by-step explanation:

Answer:

[tex]\displaystyle \frac{dS}{dt}=\frac{3}{50r}[/tex]

Step-by-step explanation:

Water is being pumped into an inflated rubber sphere at a constant rate of 0.03 cubic meters per second.

So, dV/dt = 0.03.

We want to show that dS/dt is directly proportional to 1/r.

In other words, we want to establish the relationship that dS/dt  = k(1/r), where k is some constant.

First, the volume of a sphere V is given by:

[tex]\displaystyle V=\frac{4}{3}\pi r^3[/tex]

Therefore:

[tex]\displaystyle \frac{dV}{dt}=4\pi r^2\frac{dr}{dt}[/tex]

Next, the surface area of a sphere S is given by:

[tex]\displaystyle S=4\pi r^2[/tex]

Therefore:

[tex]\displaystyle \frac{dS}{dt}=8\pi r\frac{dr}{dt}[/tex]

We can divide both sides by 2:

[tex]\displaystyle \frac{1}{2}\frac{dS}{dt}=4\pi r\frac{dr}{dt}[/tex]

We can substitute this into dV/dt. Rewriting:

[tex]\displaystyle \frac{dV}{dt}=r\Big(4\pi r\frac{dr}{dt}\Big)[/tex]

So:

[tex]\displaystyle \frac{dV}{dt}=\frac{1}{2}r\frac{dS}{dt}[/tex]

Since dV/dt = 0.03 or 3/100:

[tex]\displaystyle \frac{3}{100}=\frac{1}{2}r\frac{dS}{dt}[/tex]

Therefore:

[tex]\displaystyle \frac{dS}{dt}=\frac{3}{50r}=\frac{3}{50}\Big(\frac{1}{r}\Big)[/tex]

Where k = 3/50.

And we have shown that dS/dt is directly proportional to 1/r.

Answer:

-10 ||10||

Step-by-step explanation:

60% gross margin means they increase by the price by 60%

Multiply the purchase price by 1 + the gross margin:

16 x (1 + 0.60) = 16 x 1.60 = 25.60

The sticker price is $25.60

Answer:

Step-by-step explanation:

expand My eBay and thought you might be a good time to get the latest flash player is required for video playback is unavailable right now because this video is not available for remote playback is unavailable right now because this video is not available for remote playback is unavailable right now because this video is not available for remote playback is unavailable right for me as soon is unavailable and nice and clean this is unavailable for video for me and

Answer:

The width of the garden is 22.12 m and its length is 27.12 m

Step-by-step explanation:

Equations

Let x = width of the garden

The length is 5 m longer than the wide, thus:

x + 5 = length of the garden

The area of the rectangular garden is

A=x(x+5)=600

Operating:

[tex]x^2+5x-600=0[/tex]

Solving with the quadratic formula:

[tex]\displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

Where a=1 b=5 c=-600:

[tex]\displaystyle x=\frac{-5\pm \sqrt{5^2-4(1)(-600)}}{2(1)}[/tex]

Operating:

[tex]\displaystyle x=\frac{-5\pm \sqrt{25+2400}}{2}[/tex]

[tex]\displaystyle x=\frac{-5\pm \sqrt{2425}}{2}[/tex]

There are two solutions:

x = 22.12

x = -27.12

The negative solution is not valid because x is the width of the garden, thus

x = 22.12 m

And

y = 22.12 + 5 = 27.12 m

The width of the garden is 22.12 m and its length is 27.12 m

Answer:

Step-by-step explanation:

Answer:

0.0022x

Step-by-step explanation:

Given that,

The credit card company raised her APR from 14% to 15.2%.

Her average daily balance this month is x dollars.

We need to find the algebraically the increase in this month's finance charge due to the higher APR. It can be calculated as follows :

[tex]y=x\times \dfrac{12\%}{14}-x\times \dfrac{15.2\%}{14}\\\\=x\times \dfrac{12}{1400}-x\times \dfrac{15.2}{1400}\\\\=-0.0022x[/tex]

So, the required increase in the month's finance is 0.0022x.

Answer:

0.001x

Step-by-step explanation:

Answer: Hieee! So the answer to this problem is (3r-2)(3r+2) I think...

Step-by-step explanation:

Answer:

9(r - 5)(r - 1)

Step-by-step explanation:

Answer:

15

Step-by-step explanation: 9 square plus 12 squared equal 225 and then find the square root of 225 which equals 15

Answer:

17.14

Step-by-step explanation:

360/21=17.14

Answer:

(4 × 90) ÷ (3 × 7)

= 360 ÷ 21

= 17.14

Answer:

6x square +14x+4

Step-by-step explanation:

hope this helps................

Answer:

6x^2+14x+4

Step-by-step explanation:

6x^2+12x+2x+4

6x^2+14x+4

Answer:

−2

Step-by-step explanation:

Answer:

-21 - (-14) = -21 + 14 = -7

Step-by-step explanation:

A - and a - make a +. So -21 - (-14) makes -21 + 14. Solve to get -7.

Hope it helps!

Answer:

243 people

Step-by-step explanation:

Kelli is searching for a new daycare center for her child. At Lori's Local Daycare, there is a ratio of 2 caretakers for every 7 children. If there are 189 total children, then how many people are at the daycare facility?

The ratio is given as:

Caretakers : Children

2 : 7

= In fraction = 2/7

If there are 189 total children, then how many people are at the daycare facility?

Step 1

We calculate the number of caretakers is there are 189 children

7 children = 2 caretakeras

189 children = x

Cross Multiply

7x = 189 × 2

x = 189 × 2/7

x = 54 caretakers

Step 2

The total number of people at the daycare

= 189 children + 54 caretakers

= 243 people

Answer:

around 126

Step-by-step explanation:

Answer:

where is the paragraph?

Step-by-step explanation:

Answer:

second graph

Step-by-step explanation:

Solving the inequality

- 6 < 3x - 12 ≤ 9 ( add 12 to all 3 intervals )

6 < 3x ≤ 21 ( divide the intervals by 3 )

2 < x ≤ 7

The graph has an open circle at 2 and a closed circle at 7

This is represented on the second graph

Answer:

7

Step-by-step explanation:

(-1^2)x 3 = 3

-1 x 4 = -4

3--4 = 7

Answer:

1.) 18

2.) 55

3.)43

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

the answer is c or 55

Step-by-step explanation:

good luck on your quiz!

Answer:

don't cry because it is over smile because it happened

Step-by-step explanation:

the answer is 1.1

i hoped this help

Answer: 2x+10 is equivalent but id.k if it was a choice bc u didnt put any

Step-by-step explanation: thx for the points

Answer:

150

Step-by-step explanation:

So first you divide 120 by 4 so you know how much times 4 was increased, 4 was increased by 30 times

Next you multiply 5 by 30 because 4 was multiplied by that much

The answer is 150 girls