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Elanso [62]
3 years ago
8

One pipe can fill a tank in 12 hours and another can fill the tank in 8 hours. How long would it take to fill the tank using bot

h of the pipes
Mathematics
1 answer:
JulijaS [17]3 years ago
7 0

Answer:

It will take 4 hours and 48 minutes with both pipes.

Step-by-step explanation:

Add their rates of filling

1st pipe's rate = ( 1 tank ) / ( 12 hrs )

2nd pipe's rate = ( 1 tank ) / ( 8 hrs )

Let, t = hrs to fill tank using both pipes

(1 / 12) + (1 / 8) = (1 / t)

Multiply both sides by 24t

2t + 3t = 24

5t = 24

t = 4.8

0.8 x 60 = 48

It will take 4 hours and 48 minutes with both pipes

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In a graphing program, graph the following 4 functions in the same coordinate plane.
9966 [12]

See below for the changes when the exponential function is transformed

<h3>How to determine the effect of a</h3>

The exponential functions are given as:

y = \sqrt x

y = 5\sqrt x

y = 14\sqrt{x

y = -2\sqrt{x

An exponential function of the above form is represented as:

y = a\sqrt{x

See attachment for the graph of the four functions.

<u>When a is large</u>

This is represented by y = 14\sqrt{x

In this case, the curve of the base form y = \sqrt x is vertically stretched and it moves closer to the y-axis

<u>When a is small</u>

This is represented by y = 5\sqrt x

In this case, the curve of the base form y = \sqrt x is vertically stretched and it moves away from the x-axis

<u>When a is negative</u>

This is represented by y = -2\sqrt{x

In this case, the curve of the base form y = \sqrt x is vertically stretched and is reflected across the y-axis.

Read more about function transformation at:

brainly.com/question/26896273

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5 0
2 years ago
Which statements must be true regarding the diagram?<br> (please check more than one answer)
nikdorinn [45]
Try this option:
- true;
- not true;
- true;
- true;
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4 0
3 years ago
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Simplify:<br><br> 5(6h – 1) – 5h<br> A. h – 1<br> B. h – 5<br> C. 25h – 5<br> D. 35h – 5
pickupchik [31]

Answer:

C. 25h – 5

Step-by-step explanation:

5(6h - 1) - 5h = 30h - 5 - 5h = 25h - 5

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4 years ago
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PLEASE HELP WILL GIVE 20 POINTS!!!
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Answer:

a

Step-by-step explanation:

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4 0
3 years ago
A worker has job offers from two companies. The information below summarizes the job offer from each company.Company A:Starting
Zanzabum

Using linear functions, we have that:

A.

For Company A: S_A(n) = 31000 + 3000n

For Company B: S_B(n) = 38000 + 2000n

B. The salaries will be the same after 7 years.

A linear function is given by:

y = mx + b

In which:

  • m is the slope, which is the rate of change.
  • b is the y-intercept, which is the initial value.

Item a:

  • For Company A, the salary starts at $31,000, with a raise of $3,000 each year. Thus, b = 31000, m = 3000, and the salary after n years is given by:

S_A(n) = 31000 + 3000n

  • For Company B, the salary starts at $38,000, with a raise of $2,000 each year. Thus, b = 38000, m = 2000, and the salary after n years is given by:

S_B(n) = 38000 + 2000n

Item b:

  • They will be the same after n years, for which:

S_A(n) = S_B(n)

Then

31000 + 3000n = 38000 + 2000n

1000n = 7000

n = \frac{7000}{1000}

n = 7

The salaries will be the same after 7 years.

A similar problem is given at brainly.com/question/24282972

7 0
2 years ago
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