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Katena32 [7]
4 years ago
11

How to get the answer

Mathematics
1 answer:
Aleonysh [2.5K]4 years ago
5 0
So this is just working with exponents, but negative exponents can be a little tricky. your example didn't do a great job of showing how you calculate negative exponents.

for #2, you have 10⁻⁶

to convert negative exponents into something that makes more sense to our brain, you can set it beneath 1:

\frac{1}{10^6}  ... or, in the event that you can't see that because you're on the app: (1)/(10⁶). so now, instead of calculating 10⁻⁶, which would probably give you a confusing decimal, you just need to figure out 10⁶ -- and positive exponents are much easier to deal with.

10⁶ = 1,000,000
BUT remember that you have to put this value beneath a 1 to account for your negative exponent and (1/1,000,000) is your answer for part A.

so, use the same steps for the rest of the problems:
1) convert negative exponent to positive exponent beneath 1
7⁻³ = (1)/(7³)
2) calculate 7³
7³ = 343
<span>3) your result is (1/343)
</span>
<span>for 12</span>⁻², again, you'll put it beneath 1 so that it becomes (1)/(12²), then you'll calculate 12² (12*12 = 144), so that your result is (1/144). that leaves the letter D for number 2, which you'll have to write into your boxes at the top.

i hope this helps! you can message me if you have any specific ones that cause you trouble and i'll do my best to help.
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For the given word problem, identify the rate of change. Gasoline at a particular gas station costs $2.78 per gallon. If Cory bu
zhenek [66]

Answer:

Cory bought 6.47 gallons

rate of change is $2.78 per gallon

Step-by-step explanation:

cost of gas per gallon = $2.78

it means that if one buy 1 gallon he will have to pay $2.78 and similary for each increase in 1 gallon of gallon gas he will have to pay $2.78.

Thus, rate of change is cost of gas per gallon as cost to buy gas changes with the change in quantity of gallon.

Let the quantity of gas bought be x gallon.

Total cost for x gallons = cost of gas per gallon*x = 2.78x

Given that total money paid by him is $18

2.78x = 18

x = 18/2.78 = 6.47

Thus, Cory bought 6.47 gallons

rate of change is $2.78 per gallon

4 0
3 years ago
The ninth graders are hosting the next school dance. They would like to make at least a $500 profit from selling tickets. The ni
kykrilka [37]

Answer:

They would earn 900 dollars at the door

5 0
3 years ago
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Answer: 9


Step-by-step explanation:

To square a number, you multiply it by itself twice.

In this case, your answer would be 3 x 3 = 9.

Hope it helps! :)

3 0
3 years ago
What is the variance of the following data? If necessary, round your answer to two decimal places. 17, 13, 13, 22, 11, 20
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Variance is the standard deviation squared but we're not going to use that now. Let's first calculate the mean:

mean = (17+13+13+22+11+20)/6 = 16.

Now for each value, let's see how far it is from this mean. We'll square these distances and average them. That's our variance.

17 distance 1 squared = 1
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13 distance 3 squared = 9
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Now average these outcomes:

variance = (1+9+9+36+25+16)/6 = 16.

So the variance by coincidence is the same as the mean.

Answer C is your answer.
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3 years ago
Here is another riddle: The sum of two numbers is less than 2. If we subtract the second number from the first, the difference i
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Answer:

Let x, y be the two numbers under consideration. Then, x+y<2 and x-y>1.

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3 years ago
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