What is number 5???????

Given:

[tex]\dfrac{dr}{dt}=1.4\text{ in/s}[/tex]

[tex]\dfrac{dh}{dt}=-2.1\text{ in/s}[/tex]

To find:

The rate of change in volume at [tex]r=120\text{ in. and }175\text{ in.}[/tex]

Solution:

We know that, volume of a cone is

[tex]V=\dfrac{1}{3}\pi r^2h[/tex]

Differentiate with respect to t.

[tex]\dfrac{dV}{dt}=\dfrac{1}{3}\pi\times \left[(r^2\dfrac{dh}{dt}) + h(2r\dfrac{dr}{dt})\right][/tex]

Substitute the given values.

[tex]\dfrac{dV}{dt}=\dfrac{1}{3}\times \dfrac{22}{7}\times \left[(120)^2(-2.1) +175(2)(120)(1.4)\right][/tex]

[tex]\dfrac{dV}{dt}=\dfrac{22}{21}\times \left[-30240+58800\right][/tex]

[tex]\dfrac{dV}{dt}=\dfrac{22}{21}\times 28560[/tex]

[tex]\dfrac{dV}{dt}=29920[/tex]

Therefore, the volume of decreased by 29920 cubic inches per second.

Answer: 7 h and 20 min

Step-by-step explanation:

The return trip: 50

And hour : 7

So 50/7= the total return trip

50/7 = about 7.1428

Round to nearest 10th

Equals 7.20 so 7 h and 20 min is the total time.

Answer:the answer is c

Step-by-step explanation:

Answer:

its D

Step-by-step explanation:

i got it right e2020

Answer:

About 840.

Step-by-step explanation:

The exact answer is 836 lbs.

Answer:

Step-by-step explanation:

12 x 7 = 84

-13 . 20 = -260

(5) (-10.5)= -52.5

(-7.5) x (-3.2) = -24

Btw some is wrong but I’ll need to let you figure out which ones I’m not gonna do your homework for you without you doing something.

Step-by-step explanation:Well u need to try but if not i will help

Answer:

its b

Step-by-step explanation:

Answer:

1. 26   2.  2    3.   4

Step-by-step explanation:

Answer:

1) 26%

2) 2%

3)18%

Step-by-step explanation:

1) the sausage slice in the pi chart is the same size as the mushroom slice, and the mushroom slice is 26%. And both the sausage slice and the mushroom slice makes up half the pi chart.

2) 2% more people like bacon than ham, 14-12=2

3) 14 + 26=40 12+10=22 40-22=18 18% more people like bacon or sausage then ham or peporoni.

if you need the numbers of people not the percentages let me know, I think ill know the answer.

Answer:

The inequality is 25+8.50w≥122

Answer:$20

Step-by-step explanation:

320 ÷ 16= 20

Answer:

A, Outlier

Step-by-step explanation:

This data point lies significantly out of the range of all the other data points.

Answer:

Most commonly seen in the consumer goods industry

9514 1404 393

Answer:

  2 medium bags

Step-by-step explanation:

Using estimates of 8, 12, and 20 for the number of cups in each bag size, you can see that the number of each size needed is ...

  floor(30/8) = 3 . . . small bags

  floor(30/12) = 2 . . . medium bags

  floor(30/20) = 1 . . . large bag

3 small bags will contain 3(8 1/4) = 24 3/4 cups.

2 medium bags will contain 2(12 3/4) = 24 3/2 = 25 1/4 cups

1 large bag will contain 20 7/8 cups.

The closest Natalie can get without exceeding the container size is with purchase of 2 medium bags.

_____

Additional comment

The best solution would be to purchase 1 small and 1 large bag, for a total of ...

  8 1/4 +20 7/8 = 28 9/8 = 29 1/8 . . . cups

However, that purchase is not multiple bags of the same size.

Answer:

3/4

Step-by-step explanation:

If you flip it 8 times then and get heads 6 times then your probability would be 6/8 but simplified down to 3/4

Answer:

-1/5

Step-by-step explanation:

y2-y1/x2-x1

1-2=-1

-4-1=-5

-1/5

Answer:

C) 1/5

Step-by-step explanation:

Find the Slope (1, 2) and (−4, 1)

Slope is equal to the change in y over the change in x, or rise over run.

              change in y

    m =     __________

               change in x

The change in x is equal to the difference in x-coordinates (also called run), and the change in y

is equal to the difference in y-coordinates (also called rise).

               y2 − y1

    m =     _________

                x2 − x1

Substitute in the values of x and y into the equation to find the s lope.

               1 − (2)

    m =    _________

               −4 − (1)

Simplify the numerator.

                 −1

    m =     _________

                −4 − (1)

Simplify the denominator.

                −1

     m =    ________

                −5

Dividing two negative values results in a positive value.

                 1

     m =    ________

                 5

Answer:

We can do 220 jumping jacks in 5 minutes.

Step-by-step explanation:

We are given the function:

[tex]j(x) =44x[/tex]

Note: Considering there is typing mistake and the function is: j(x)=4x

where x is minutes

We need to find How many  jumping jacks can you do in 5 minutes.

So, here x=5

Now putting value of x in the given function

[tex]j(x) = 44x\\Put \ x=5\\j(5)=44(5)\\j(5)=220[/tex]

So, we can do 220 jumping jacks in 5 minutes.

Answer:

Step-by-step explanation:

3/4

Answer:

speed = 55mi/HR, distance is 45 miles and time is not given so what we are finding is the time the vehicle used when travelling 45miles at a rate of 55mi/hr. distance=speed×time. 45=55×time(t). 45=55t. now divide 45 by 55t to get time. which is 0.82.

The ratios below that are equivalent to 2:1 is 8:4, 10:5 and 6:3. That is options B, C, and E.

To find the ratio of a given two quantities how many times one quantity is greater or smaller than the other.

Therefore in option B, when 8:4 is simplified by division,

8/4 = 2/1 = 2:1

Therefore, in option C, when 10:5 is simplified by division,

10/5 = 2/1 = 2:1

Therefore, in option E, when 6:3 is simplified by division, 6/3 = 2/1 = 2:1

Therefore, the ratios below that are equivalent to 2:1 is 8:4, 10:5 and 6:3.

Learn more about ratio here:

https://brainly.com/question/2328454

Answer:

the answer is d(2 units)

Answer:

C 64 units

Step-by-step explanation:

P = 2L + 2W

square

2(8x) + 2(8x) = 16x + 16x = 32x.  

rectangle

2(4x + 10) + 2(14) = 8x + 20 + 28= 8x + 48

32x = 8x + 48

-8x    -8x

24x = 48

divide both sides by 24

x = 2

P = 32(2) = 64

Answer:

75 % of 12 = (75 * 12 ) / 100 = 9 were sold

12 - 9 = 3 were thrown out

Step-by-step explanation:

Answer:

D (7=30x)

Step-by-step explanation:

Answer:

6/7

Step-by-step explanation:

Answer:

16 minutes on the elliptical trainer and 32 minutes on the treadmill.  

Step-by-step explanation:

We have the following relation for the training in both machines:

[tex] 400 cal = 9 cal/min*t_{1} + 8 cal/min*t_{2} [/tex]    (1)

Where:

t₁: is the time spent on the elliptical trainer

t₂: is the time spent on the treadmill    

With:

[tex] t_{1} + t_{2} = 48 min [/tex]    (2)  

From equation (2) we have:

[tex] t_{1} = 48 min - t_{2} [/tex]    (3)

By entering equation (3) into (1):

[tex] 400 cal = 9 cal/min*(48 min - t_{2}) + 8 cal/min*t_{2} [/tex]  

[tex] 400 cal = 432 cal - 9 cal/min*t_{2} + 8 cal/min*t_{2} [/tex]

[tex] t_{2} = \frac{32 cal}{1 cal/min} = 32 min [/tex]

Now, we can find t₁:

[tex] t_{1} = 48 min - t_{2} = 48 min - 32 min = 16 min [/tex]              

Therefore, you should spend 16 minutes on the elliptical trainer and 32 minutes on the treadmill.

I hope it helps you!

9514 1404 393

Answer:

  2nd tank

Step-by-step explanation:

The rate of filling, in gallons per minute, is found by dividing gallons by minutes.

Tank 1

  (3/4 gal)/(2/3 min) = (3/4)(3/2) gal/min = 9/8 gal/min

Tank 2

  (5/8 gal)/(1/2 min) = (5/8)(2/1) gal/min = 10/8 gal/min

10/8 gal/min is more than 9/8 gal/minute.

The second tank is filling faster.

Answer:

1,3,5,6

Step-by-step explanation:

Sorry I didn't get to this in time, but if you see this, please give me brainliest, apariently I need it to get to the next answer. Thank you for your time.

Answer:

the answer is 17

wlecome

Step-by-step explanation:

Answer:

the answer would be

Step-by-step explanation:i hope this helped