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JulijaS [17]
3 years ago
12

Simplify the expression 2³ × 2² A. 4⁵ B. 2⁶ C. 4⁶ D. 2⁵

Mathematics
2 answers:
FrozenT [24]3 years ago
5 0

Answer: 2^{5}

Explanation: I have written this problem on the whiteboard.

For the problem on the board, since our two powers have like bases of 2, we can multiply them together by simply adding their exponents.

So 2³ · 2² is just 2^{5}.

A common mistake in this problem would

be for students to say that  2³ · 2² is 4^{5}.

It's important to understand however that when applying your

exponent rules, your base in this case 2 will not change.

mixer [17]3 years ago
3 0

Answer:

2^5

Step-by-step explanation:

The base is the same

2^3 * 2^2

We are multiplying, so we can add the exponents

2^3 * 2^2 = 2^(3+2) = 2^5

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What is 449,650 rounded to the nearest ten thousand?
Alona [7]

Answer:

450,000

Step-by-step explanation:

The ten thousand digit is 4 and if we compare it to 9, it is bigger then 5 therefore it is rounded up and you get the answer of 450,000

3 0
2 years ago
What is the equation of a line, in general form, that passes through point (1,-2) and has a siope of 1/3?
Sever21 [200]

9514 1404 393

Answer:

  x -3y -7 = 0

Step-by-step explanation:

The general form of the equation for a line is ...

  ax +by +c = 0

where a, b, c are mutually prime and the leading coefficient is greater than zero.

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The general form equation for a line with slope m = rise/run through point (h, k) can be found by simplifying ...

  rise(x -h) -run(y -k) = 0 . . . . where run has the sign of the slope

For the given point and slope, we have ...

  1(x -1) -3(y -(-2)) = 0

  x -3y -7 = 0

8 0
3 years ago
A salsa recipe uses green pepper, onion, and tomato in the extended ration 1 : 3 : 9. How many cups of onion are needed to make
Elanso [62]
Let x be a variable.

Using the ratio and the given number of 117, we can create the following formula:

1x + 3x + 9x = 117, where 3x is the cups of onion

Simplify this equation.

13x = 117

Divide both sides by 13

x = 9

We want to solve for 3x, so multiply both sides by 3

3x = 27

As I started earlier, 3x is how many cups of onions is needed; thus, 27 is our answer. Hope this helps! :)
7 0
3 years ago
Read 2 more answers
Please answer this correctly without making mistakes
dem82 [27]

Shortest is Vindale to Wildgrove to Clarksville

18.9 + 13.2 = 32.1 km.

3 0
3 years ago
Fred and Ben each ran laps around the track. Fred completed his run in 16 minutes. Ben completed his run in 3/4 of the amount of
m_a_m_a [10]

Answer:

Time required by Ben was 12 minutes.

Step-by-step explanation:

Given:

Time Required for Fred = 16 mins

Ben completed his run in 3/4 of the amount of time of Freds run.

We need to find the time required by Ben.

Now Given that;

Ben completed his run in 3/4 of the amount of time of Freds run.

It means that time required by Ben is equal to 3/4  times time required by Fred.

Time required by Ben = \frac{3}{4}\times  Freds \ run

Time required by Ben = \frac{3}{4}\times 16 = 12\ mins

Hence Time required by Ben was 12 minutes.

7 0
3 years ago
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