water is being pumped into a 10-foot-tall cylindrical tank at a constant rate.


the depth of the water increases linearly

please help soon I have been stuck on this problem for a really long time.

at 1:30 pm the water depth was 2.4ft


it is now 4:00 and the water depth is 3.9 ft


what will the water depth be at 5:00?

Answers

Answer 1

Answer:

The depth of water at 5:00 is 4.5 ft.

Step-by-step explanation:

Depth of water at 1:30 PM = 2.4 ft

Depth of water at 4:00 PM = 3.9 ft

Change in time = 4 - 1:30 = 2.5 hours

Depth increased in 2.5 hours = 3.9 - 2.4 = 1.5 ft

Now, we are given that the depth of water is increasing linearly, so after 4:00 PM as well, the water depth will keep on increasing with the same rate as that of previous time intervals.

We have to find out the depth at 5:00 PM i.e. we need to find out the increase from 4:00 PM to 5:00 PM (1 hour) and then add it to depth at 4:00 PM.

Depth increased in 2.5 hours = 1.5 ft

Depth increased in 1 hour = 1.5 / 2.5 = 0.6 ft

Depth at 5:00 PM = Depth at 4:00 PM + Depth increased in 1 hour

[tex]\Rightarrow[/tex] 3.9 + 0.6 = 4.5 ft

Depth increased in 2.5 hours = 1.5 ft

So, The depth of water at 5:00 is 4.5 ft.

Answer 2

The depth of water at 5:00 is 4.5 ft.

Given that,  

Depth of water at 1:30 PM = 2.4 ft Depth of water at 4:00 PM = 3.9 ft Si, Change in time = 4 - 1:30 = 2.5 hours

Now  

Depth increased in 2.5 hours is

= 3.9 - 2.4

= 1.5 ft

Depth increased in 1 hour = [tex]1.5 \div 2.5[/tex] = 0.6 ft

Depth at 5:00 PM = Depth at 4:00 PM + Depth increased in 1 hour

= 3.9 + 0.6

= 4.5 ft

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Related Questions

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Answers

Answer:

The slope would be 7/5

Step-by-step explanation:

The slope is 7/5 because you can calculate slope by dividing the change in the y-value between two points over the change in the x-value. (y-y/x-x) you would just plug in the the points for X and Y, 5-(-2)/3-(-2) and you would get 7/5.

In the table below, 1:2, 2:4, 3:6, 4:8, and so on are all equivalent ratios.

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By what factor is the first term in each ratio multiplied to get the second term?
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2
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Answer:

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Step by step:

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Hope this helps!!

Answer:

2!!!!!!

Step-by-step explanation:

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Daniel drove from his house to his office. The graph show the distance Daniel had left to travel after for t driving

Answers

Answer:

Daniel office is located 20 miles from his house and it took Daniel 25 minutes to drive that distance.

Step-by-step explanation:

Since the graph shows the distance from his house to his office as a function of driving time, then when the driving time is equal to "0", it means that he didn't left his house yet and that is the distance from his house to his office. On the graph this is the point that crosses the "y" axis, 20 miles. When he arrives at his office, then the distance is equal to "0", since he already arrived at his destination. This happens when the graph crosses the "x" axis, which happens on the 25 min mark. So:

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Answers

Answer: 113.04 cm^3

Step-by-step explanation:

The surface area of a cube is:

S = 6*L^2

then:

216 = 6*L^2

216/6 = L^2

L = √(36) = 6

So the length of the side of this square is L = 6cm

Then the diameter of the sphere is also 6 cm, and the radius is half the diameter, so the radius is 3cm.

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What is the area of the shaded region?
A. 21 mm squared
B. 24 mm squared
C. 42 mm squared
D. 48 mm squared

Answers

Hello!

Answer:

[tex]\boxed{ \bf The~area~of~the~shaded~region~is~B.~24 mm^2}[/tex]

______________________________________________________

Explanation:

To find the area of the shaded region, we must find the area of the inner white triangle and subtract it from the area of the outer blue one.

Outer:

A = [tex]\frac{1}{2}[/tex]bh

A =  [tex]\frac{1}{2}[/tex](12 · 5)

A =  [tex]\frac{1}{2}[/tex](60)

A = 30 mm²

Inner:

A = [tex]\frac{1}{2}[/tex]bh

A = [tex]\frac{1}{2}[/tex](4 · 3)

A = [tex]\frac{1}{2}[/tex](12)

A = 6

30 - 6 = 24

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Answers

Answer:

Hey boss man, just add up all the sides! For example, just add 3.9+3.9+3.9! and if there is a line in the middle of a certain side, it means that it is congruent or the same as another side with a dash. For example, with number 2, the side without a measurement is congruent with the the side with measurement of 7mm! Hope this helps! You got this! :)

Step-by-step explanation:

What is the measure of

Answers

Can you be more specific

OVER HERE
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Answer:

60 cm

Step-by-step explanation:

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Answers

Step-by-step explanation:

Total toppings = 6

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Answer:

Read below. (Answers are bolded)

Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

A customer wants rhombus-shaped tiles for his countertops. The height is 3 inches and the length of each side is 6.5 inches. What is the area of each tile? Enter your answer in the box.

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Answer:

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Step-by-step explanation:

A=pq

   ___

     2

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Answers

Answer:

[tex]=-23.2[/tex]

Step-by-step explanation:

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Answer:sorry i need points

Step-by-step explanation:

Please help me thanks

Answers

Answer:

2:1____________________________________

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Answers

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The two-way frequency table below shows data on behavior of students and the use of positive phone calls home as an incentive for behavior for a group of students at Lion's Lane Elementary School.
Complete the following two-way table of column relative frequencies.
(If necessary, round your answers to the nearest hundredth.)

Answers

Answer:

Step-by-step explanation:

Hello!

In statistics, the relative frequency is the percentage/ proportion of times a determined event has occurred in a given experiment.

In this exercise you have to calculate the relative frequencies of the observed student's behavior, given that they received positive phone calls as an incentive and the observed student's behavior, given that they didn't receive positive phone calls as an incentive.

If "x" represent the number of observations for the category (Desirable behavior and Undesirable behavior) of interest and "n" the total number of observations in each row (Phone call and No phone call), you can calculate the relative frequencies as: f(x)= x/n

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n= 19 + 9= 28

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The student showed undesirable behavior: f(x)= 9 / 28= 0.678= 0.32

For the students that didn't receive the phone call:

n= 8 + 6= 14

The student showed desirable behavior: f(x)= 8 / 14= 0.678= 0.57

The student showed undesirable behavior: f(x)= 6 / 14= 0.678= 0.428= 0.43

I hope this helps!

Answer:

answer in the photo hope it helps

Step-by-step explanation:

FP!!!!!!!!!!!!!!!!!!!!!

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Answers

Answer:

Ans = 1980

Step-by-step explanation:

(10 x 100 ) + 980 = (1000) + 980

therefore

1980 is the answer

The garden has an area of 28 square meters. The length of the garden is 7 meters. What is the width of the garden?

You have to find the width

Answers

Answer:

4 meters

Step-by-step explanation:

Area is length x width

28=7n where n is the unknown width

Solve for n and u get 4

Answer:

4 metres

Step-by-step explanation:

The garden is in the form of a rectangle. The area of a rectangle is denoted by A = lw, where l is the length and w is the width.

Here, we're given the length is l = 7 and the area is A = 28, so we can plug these into the formula:

A = lw

28 = 7 * w

Divide both sides by 7:

w = 28 / 7 = 4

Thus, the width is 4 metres.

if the volume of a cube is 4096 cubic cm, what is its surface area​

Answers

Answer:

Here is the solution. Hope it helps.

Volume =4096 cm cube
Volume =side 3
Side=cube root of 4096
Side = 16cm
Therefore surface area =6×side 2=6×16^2
============6×256
============1,536cm

After eating dinner at a restaurant, Lucy's bill before tax is $48.00. The sales tax rate is 8%. Lucy decides to leave a 20% tip for the waiter based on the pre-tax amount. How much money will Lucy pay total, including tax and the tip?

Answers

Answer:

$61.44

Step-by-step explanation:

Both the tip and the tax are based on the original amount ($48).  

To find the amounts, first change the percents to decimals.

8% = 0.08

20% = 0.20

Then, multiply the decimals by the original amount.

48 × 0.08 = 3.84

48 × 0.20 = 9.60

Next, add up the original amount, the tax, and the tip to find the total money spent by Lucy.

$48 + $3.84 + $9.60 = $61.44

The total amount spent is $61.44.

Lucy pay total amount of $61.44, including tax and the tip.

What is the fundamental principle of multiplication?

Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

Both the tip and the tax are based on the original amount ($48).  

To determine the amounts, first change the percents to decimals.

8% = 0.08

20% = 0.20

Now multiply the decimals by the original amount.

48 × 0.08 = 3.84

48 × 0.20 = 9.60

Next, add up the original amount, the tax, and the tip;

$48 + $3.84 + $9.60 = $61.44

The total amount spent will be $61.44.

Learn more about multiplications;

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Which of the following is a right triangle?


A)
a triangle with sides measuring 8, 12, and 13

B)
a triangle with sides measuring 6, 8, and 12

C)
a triangle with sides measuring 1, 2, and 3

D)
a triangle with sides measuring 10, 24, and 26

Answers

Answer:

D): a triangle with sides measuring 10, 24, and 26

I hope I helped you! If my answer is correct, could you please mark me brainliest? Thanks!

Simplify the following expression.

(8x + 4) - (2x2 + 4x - 7)
HELLPPP

Answers

Answer:

Step-by-step explanation:−2x^2+4x+11

27
Select the decimal that is equivalent to
32
Choose 1 answer:
0.76418
® 0.76418
0.84375
0.84375
© None of the above

Answers

Answer:

none of the above

Step-by-step explanation:

the decimal equal to 32 is 32

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