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Vesnalui [34]
3 years ago
10

For the graphed exponential equation, calculate the average rate of change from x = 1 to x = 4.

Mathematics
1 answer:
zhenek [66]3 years ago
3 0

Answer:

b  

Step-by-step explanation:

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Working alone at its constant rate, pump X pumped out ¼ of the water in a tank in 2 hours. Then pumps Y and Z started working an
madam [21]

Answer:

The correct option is B) 12.

Step-by-step explanation:

Consider the provided information.

Working alone at its constant rate, pump X pumped out ¼ of the water in a tank in 2 hours.

As we know: rate =\dfrac{ work}{time},

The rate of pump X is \frac{\frac{1}{4}}{2} = \frac{1}{8}

\frac{1}{4} of the water is pumped out of the tank, that means only \frac{3}{4} is left to be pumped out.  

All 3 pumps pumped out the remaining \frac{3}{4} of the water out in 3 hours.

The combined rate of all three pumps is: \frac{\frac{3}{4}}{3} = \frac{1}{4}

Pump Y, working alone at its constant rate, would have taken 18 hours to pump out the rest of the water.

The rate of pump Y = \frac{\frac{3}{4}}{18} = \frac{1}{24}

Let z is the time taken by pump Z, then the rate of pump Z is \frac{1}{z}.

Therefore,

\dfrac{1}{8}+\dfrac{1}{24}+\dfrac{1}{z}=\dfrac{1}{4}

Multiplying both sides by 24 z.

3z + z + 24 = 6z\\24 = 2z\\12 = z

Hence, the correct option is B) 12.

5 0
4 years ago
Four students conducted a survey about sports preferences at their middle school. Each
jarptica [38.1K]

Answer:

Ellen's survey is more representative

7 0
3 years ago
In one week a shop buys 15 bottles of soy sauce at a price of Rp. 127,500. If on
Scorpion4ik [409]
Answer: 204000

Since the shop buys 15 bottles of soy sauce at a price of Rp. 127,500, the cost of one bottle will be:
= 127500/15
= 8500.

Therefore, the cost of 24 bottles will be:
= 24 × 8500.
= 204000
5 0
3 years ago
Need help, please explain the answer
Mkey [24]

Answer:

Step-by-step explanation:

U have to multiply 49 by 49 and then subtract 9

4 0
3 years ago
Clara created the poster shown below:
lana66690 [7]

Answer:

length=4\ cm\\width=6\ cm

Step-by-step explanation:

Given the rectangular poster shown in the picture, you know that its dimensions (its width and its lenght) are:

w_1=24\ cm\\l_1=16\ cm

In order to calculate the dimensions of the rectangular  at \frac{1}{4} times its current size, you need to multiply the original lenght by \frac{1}{4} and multiply the original width by \frac{1}{4}.

Knowing this, you get:

w_2=w_1\frac{1}{4}\\\\w_2=(24\ cm)(\frac{1}{4})\\\\w_2=6\ cm\\\\\\l_2=l_1\frac{1}{4}\\\\l_2=(16\ cm)(\frac{1}{4})\\\\l_2=4\ cm

6 0
3 years ago
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