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nalin [4]
3 years ago
15

Need help!

Mathematics
1 answer:
Maslowich3 years ago
4 0
Answer: Choice D) |K| = 57

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Explanation:

The notation |K| means "the number of items in set K". It is similar to the notation n(K). In this case, we simply add up all the values in the circle labeled K. There are four of these values which are 13, 8, 17, 19. Add up these values to get 13+8+17+19 = 57. So there are 57 items in set K.
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(3⁵)²/3⁻²<br><br> A. 3¹⁰<br><br> B. 3¹²<br><br> C. <img src="https://tex.z-dn.net/?f=3%5E%7B9%7D" id="TexFormula1" title="3^{9}"
Novosadov [1.4K]

Answer:

B. 3¹²

Step-by-step explanation:

To solve this we need to apply the following laws of exponents:

1. (a^n)^m=a^{n*m}

2. a^{-n}=\frac{1}{a^n}

Let's apply the first law to the numerator of our fraction and the second law to the denominator. For the numerator, (3^5)^2, a=3, n=5, and m=2. For the denominator 3^{-2}, a=3 and n=-2

Replacing values

\frac{(3^5)^2}{3^{-2}} =\frac{3^{5*2}}{\frac{1}{3^2} } =\frac{3^{10}}{\frac{1}{3^2} }

Now, remember that to divide fractions we just need to invert the order of the second fraction and multiply:

\frac{3^{10}}{\frac{1}{3^2} }=3^{10}*\frac{3^2}{1} =3^{10}*3^2

Finally, we can use the law of exponents for multiplication to get our answer:

a^n*a^m=a^{n+m}

3^{10}*3^2=3^{10+2}=3^{12}

We can conclude that the correct answer is B. 3¹²

8 0
4 years ago
Carla is arranging square patches of grass on her rectangular lawn her lawn is 10 yards wide and 3 and 1/2 yards long how many s
Paraphin [41]

Answer:

I don't know if this is correct but wouldn't it be 560?

Step-by-step explanation:

If you have 10 on one side, you divide 10 by 1/4 to get 40. So you need 40 blocks to fill one side, and 3 1/2 on the other only needs 14. 14*40=560.

8 0
3 years ago
The diagram shows the floor plan of a hotel lobby. Carpet costs $3 per square foot. How much will it cost to carpet the lobby?
pickupchik [31]
If you were to take both halves of the carpet and place them on top of each other you can see that the two triangle sections would cover each over up and fill in to make a rectangle. So first, lets compute the size of the middle section, then we will compute the size of the end pieces.

The center section of the carpet is 30 ft x 31 ft = 930 sq ft

The ends of the carpet are 12 ft x 15.5 ft = 186 sq ft

Since there are two side to the carpet like this we multiply this by 2
186 * 2 = 372 sq ft

Adding these two values together gives 

930 + 372 = 1302 sq ft
3 0
4 years ago
Read 2 more answers
Please help me!!!!!!!!!!
maxonik [38]
It’s the first one, seven (7)
7 0
4 years ago
True or false<br> The larger the sample size the more accurate the sample is to the population.
stiv31 [10]

Answer:

True

Step-by-step explanation:

it makes sense

~Plz tap the crown~

~Thank you~

8 0
3 years ago
Read 2 more answers
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