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alekssr [168]
2 years ago
4

"A tank is full of water. Find the work required to pump the water out of the spout. (Use 9.8 m/s2 for g. Use 1000 kg/m3 as the

density of water. Assume r = 3 m and h = 1 m.)
"

Mathematics
1 answer:
Sunny_sXe [5.5K]2 years ago
7 0
<span>Distance = 3+1 = 4 m
</span>Weight of water = 9.8*Pi*9^3*1000*4/3
                          = 29.926*10^6 N 
<span>Work done = 4 * 29.926 * 10^6
                  = 119.70 × 10^6 J
                  = 119.70 MJ.</span>
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Use the double intercept approach to find the graph of –1 = –y + x. A. B. C. D.
navik [9.2K]

Answer:

Intercepts at (-1, 0) and (0, 1).

Step-by-step explanation:

The double intercept form for the equation of a line is

ax + by = 1

-1 = -y + x

<em> y = 0 </em>

<em> </em>x = -1     Multiply each side by -1

-x = 1

The <em>x-intercept</em> is at (-1, 0).

=====

<em> x = 0 </em>

-1 = -y     Multiply each side by -1

y = 1

The <em>y-intercept</em> is at (0, 1).

=====

The graph (see below) is a straight line passing through the points (-1, 0) and (0, 1).


5 0
2 years ago
Sybil has 1/2 of a pizza left over. She wants to share the pizza with 3 of her friends. What fraction of the original pizza will
Helen [10]

Answer: \frac{1}{2\times3}=\frac{1}{6}\text{ of the original pizza.}


Step-by-step explanation:

Given: Sybil has 1/2 of a pizza left over.

If she share the pizza with 3 of her friends, to find the fraction of the original pizza will Sybil and her 3 friends each receive, we need to divide 1/2 by 3 we get

The  fraction of the original pizza will Sybil and her 3 friends each receive

=\frac{\frac{1}{2}}{3}=\frac{1}{2\times3}=\frac{1}{6}\text{ of the original pizza.}



6 0
2 years ago
Read 2 more answers
What is the value of (-3.25)(-1.56)
masha68 [24]
-4.82. A calculator can help you with that.
4 0
2 years ago
A sample of bacteria is being eradicated by an experimental procedure. The population is following a pattern of exponential deca
77julia77 [94]

Answer:

There will be 50 bacteria remaining after 28 minutes.

Step-by-step explanation:

The exponential decay equation is

N=N_0e^{-rt}

N= Number of bacteria after t minutes.

N_0 = Initial number of bacteria when t=0.

r= Rate of decay per minute

t= time is in minute.

The sample begins with 500 bacteria and after 11 minutes there are 200 bacteria.

N=200

N_0 = 500

t=11 minutes

r=?

N=N_0e^{-rt}

\therefore 200=500e^{-11r}

\Rightarrow e^{-11r}=\frac{200}{500}

Taking ln both sides

\Rightarrow ln| e^{-11r}|=ln|\frac{2}{5}|

\Rightarrow {-11r}=ln|\frac{2}{5}|

\Rightarrow r}=\frac{ln|\frac{2}{5}|}{-11}

To find the time when there will be 50 bacteria remaining, we plug N=50, N_0= 500 and  r}=\frac{ln|\frac{2}{5}|}{-11} in exponential decay equation.

50=500e^{-\frac{ln|\frac25|}{-11}.t}

\Rightarrow \frac{50}{500}=e^{\frac{ln|\frac25|}{11}.t}

Taking ln both sides

\Rightarrow ln|\frac{50}{500}|=ln|e^{\frac{ln|\frac25|}{11}.t}|

\Rightarrow ln|\frac{1}{10}|={\frac{ln|\frac25|}{11}.t}

\Rightarrow t= \frac{ln|\frac{1}{10}|}{\frac{ln|\frac25|}{11}.}

\Rightarrow t= \frac{11\times ln|\frac{1}{10}|}{{ln|\frac25|}}

\Rightarrow t\approx 28 minutes

There will be 50 bacteria remaining after 28 minutes.

3 0
2 years ago
The table represents an exponential function. A 2-column table has 4 rows. The first column is labeled x with entries 1, 2, 3, 4
GenaCL600 [577]

Answer:A. on edge

Step-by-step explanation:

Just took the quiz.

5 0
2 years ago
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