A city has two water towers. One tower holds 7.35 x 10 with an exponent of 5, gallons of water and the other tower holds 9.78x 10 with an exponent of 5, gallons of water. What is the combined water capacity of the two towers?

Answers

Answer 1
Answer:

The combined capacity of the two tower would be 17.13 x 10^5 gallons of water.

How does scientific notations work?

We just ignore the 10^5, because the two numbers have the same exponent and repeat it on the result of the normal sum between the numbers.

But, for example,

5 x 10^4 + 5 x 10^5

We need to equal the exponents to do the sum without having to multiply all those tens;

5 x 10^4 + 50 x 10^4

= 55 x 10^4

or 0.5 x 10^5 + 5 x 10^5

= 5.5 x 10^5

Now returning to the question;

7.35 + 9.78 = 17.13

17.13 x 10^5

7.35 x 10^5 = 735,000

9.78 x 10^5 = 978,000

735,000 + 978,000 = 1,713,000

Or: 1713 x 10^3 or 17.13 x 10^5

The combined capacity of the two tower would be 17.13 x 10^5 gallons of water.

Learn more about scientific notation here:

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Answer 2
Answer: Sum with scientific notation. We just ignore the 10^5, because the two numbers have the same exponent and repeat it on the result of the normal sum between the numbers.

But, for example, if we had:

-> 5 x 10^4 + 5 x 10^5

We would need to equal the exponents to do the sum without having to multiply all those tens.

5 x 10^4 + 50 x 10^4
= 55 x 10^4

or 0.5 x 10^5 + 5 x 10^5
= 5.5 x 10^5

*They are the same results.

Now returning to the question:

-> 7.35 + 9.78 = 17.13
-> 17.13 x 10^5

You can prove it yourself:

-> 7.35 x 10^5 = 735,000

-> 9.78 x 10^5 = 978,000

-> 735,000 + 978,000 = 1,713,000

Or: 1713 x 10^3 or 17.13 x 10^5

Answer: The combined capacity of the two tower is 17.13 x 10^5 gallons of water.

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Answers

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According to a past survey, 23% of Americans have hypertension. After a stringent regimen of diet and exercise, 75 people were then tested and 18 were found to have hypertension. Based on this sample, does diet and exercise reduce hypertension? Use a significance level of 0.05.a) yesb) no

Answers

Answer:No, Diet and exercise does not reduce hypertension.

Step-by-step explanation:

Since we have given that

p = 0.23

n = 75

x = 18

So, \hat{p}=(x)/(n)=(18)/(75)=0.24

So, hypothesis would be

H_0:p=\hat{p}\n\nH_a:\hat{p}<p

So, the test statistic value would be

z=\frac{\hat{p}-p}{\sqrt{(p(1-p))/(n)}}\n\nz=\frac{0.24-0.23}{\sqrt{(0.23* 0.77)/(75)}}\n\nz=(0.01)/(0.049)\n\nz=0.204

At α = 0.05 level of significance, we get

critical value = 1.96

and 1.96>0.204.

so, we will accept the null hypothesis.

Hence, No, Diet and exercise does not reduce hypertension.

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Answers

Answer:

Left function: f(x+3)

Right function: f(x)

Step-by-step explanation:

To translate a function, f(x-h) + k is used, where h is the horizontal and k is the vertical shift. Here, x+3 means the graph is shifted 3 units to the left, making it the left graph

One thousand tonnes (1000 t, one t equals 10 cubed kg) of sand contains about a trillion (10 super 12) grains of sand. How many tonnes of sand are needed to provide 1 mol of grains of sand? (b) Assuming the volume of a grain of sand is 1.0 mm3 and the land area of the continental United States is 3.6 multiplication 10 super six square miles, how deep would the sand pile over the United States be if this area were evenly covered with 1.0 mol of grains of sand?

Answers

Answer with Step-by-step explanation:

Since 1 mole of sand will contain Avagadro's Number of sand particles (by definition of 1 mole)

Thus we have

1 mole of sand = 6.022* 10^(23) sand particles

Thus in number of trillion sand particles we have no of trillion sand particles in 12 mole is

(6.022* 10^(23))/(10^(12))=6.022* 10^(11)

Now since it is given that mass of 1 trillion sand particles is 1000 tonnes Thus the mass of 6.022* 10^(11) trillion sand particles is

Mass=1000* 6.022* 10^(11)=6.022* 10^(14)tonnes

Part 2)

Since it is given that volume of 1 sand particle is 1.0mm^(3) thus the volume of 1 mole of sand is volume of 6.022* 10^(23) sand particles

Thus volume of 1 mole is V=1.00* 10^(-18)km^(3)* 6.022* 10^(23)=6.022* 10^(5)km^(3)

Now since the Area of united states is A=3.6* 10^(6)mile^(2)=5.8* 10^(6)km^(2)

Thus the depth of the sand pile is

Depth=(Volume)/(Area)=(6.022* 10^5)/(5.8* 10^6)=0.10387km=103.8meters

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Answers

Answer:

Step-by-step explanation:

Her sample is of a portion/part of the population of jewelers in her town

Her sample is also biased and id not a representation of the population in that she sampled on the biggest jewelers without considering the smaller one which might possibly have the latest jewelry trends.

Answer: It is Bias and not representative

Step-by-step explanation:

Find the area.
4 cm
6 cm
6 cm

Answers

Answer:

30 cm²

Step-by-step explanation:

6*(4+6)/2=30 cm²