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4 years ago

Write (2 × 5)³ as a power with a single base. Sixty points!

Mathematics

2 answers:

victus00 [196]4 years ago

5 0

$a^n=\underbrace{a\cdot a\cdot a\cdot ...\cdot a}_{n}\\\\\\(2\times5)^3=(10)^3=10^3\\\\10^3=10\cdot10\cdot10=1,000$

andrey2020 [161]4 years ago

4 0

$(2 \times 5) {}^{3}$
$(10) {}^{3}$
=(10×10×10)
= 1,000

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The yoga company Yoga for Life offers 45-minute classes at $12 per class. If the number of minutes Randolf

TiliK225 [7]

This is a classic example of where you would need to use the process of elimination. Let's start with answer A, 3 classes.
If A were to be correct, 3 classes of 45 minutes each would be 132 greater than the amount he paid, 3 classes worth $12. We could easily express this as a math equation:

45 * 3 = 132 + (12 * 3)       Then, all you would have to do is simplify:
135 = 132 + 36
135 = 168

Obviously this equation isn't true, and you can continue with answer choice B.
But wait... there's a better way. Using this starting equation, we can come up with a formula to solve for c, the number of classes. Let's take our starting equation:

45 * 3 = 132 + (12 * 3)     Now, let's turn all the 3s into cs.
45c = 132 + 12c    Then, using algebra, we can solve this equation.
-12c     - 12c
33c = 132
33c/33 = 132/33
c = 4

And finally, we have our answer, B! I hope both methods help you in your further studies.

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4 years ago

The cost of renting a car is $46/week plus $0.25/mile traveled during that week. An equation to represent the cost would be y=46

julsineya [31]

The answer for part a is $60.25, for part b the answer is 76 miles, and for part c the answer is 216 miles.

<h3>What is a function?</h3>

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

The equation to represent the cost would be y=46+0.25x

x is the number of miles.

a) What is your cost if you travel 57 miles?

Plug x = 57 in the above equation:

y = 46 + 0.25(57)

y = $60.25

b) If your cost was $65.00, how many miles were you charged for traveling?

Plug y = 65 in the equation:

65 = 46 + 0.25x

x = 76 miles

c) Suppose you have a maximum of $100 to spend for the car rental. What would be the maximum number of miles you could travel?

Plug y = 100 in the equation:

100 = 46 + 0.25x

x = 216 miles

Thus, the answer for part a is $60.25, for part b the answer is 76 miles, and for part c the answer is 216 miles.

Learn more about the function here:

brainly.com/question/5245372

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2 years ago

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Darya [45]

F(-4)= 9*3^(-4)=9/(3^4)=1/9

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3 years ago

On a coordinate grid, point T is at (2, −4) and point S is at (2, 6). The distance (in units) between points T and S is ______.

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Step-by-step explanation:

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