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irinina [24]
3 years ago
13

If (5^4)m = 5^12, what is the value of m? A.)2 B.)3 C.) 5 D.)8

Mathematics
1 answer:
Sauron [17]3 years ago
8 0

Answer:

B.) 3

Step-by-step explanation:

Exponent rule: (b^m)^n = b^{mn}

(5⁴)ⁿ = 5¹²

4n = 12

n = 3

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Katrina is reading a book that is 400 pages long. She has read 340 pages so far.
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\frac{340}{400}=\frac{340 \div 4}{400 \div 4}=\frac{85}{100}=85\%

Katrina has read 85% of her book.
7 0
3 years ago
Vertex F of ΔDEF has coordinates (−3, 7). If ΔDEF is reflected over the y-axis, what are the coordinates of vertex Fʹ?
docker41 [41]
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Its coordinates will be (3, 7).
5 0
3 years ago
You purchased a rare painting for $150 that is increasing in value by 3% annually. How many years will it take until it is doubl
Ahat [919]

Answer:

23 years.

Step-by-step explanation:

It is given that the initial price of painting is $150 and its values increasing by 3% annually.

We need to find how many years will it take until it is doubled in value.

The value of painting after t years is given by

y=150(1+0.03)^t

y=150(1.03)^t

The value of painting after double is 300. Substitute y=300.

300=150(1.03)^t

Divide both sides by 150.

2=(1.03)^t

Taking log both sides.

\log 2=\log (1.03)^t

\log 2=t\log (1.03)

t=\dfrac{\log 2}{\log (1.03)}

t=23.44977

t\approx 23

Therefore, the required number of years is 23.

6 0
3 years ago
If there are 12 inches in a foot, how many inches are in 64 feet?
mamaluj [8]

Answer:

768

Step-by-step explanation:

64*12

5 0
3 years ago
Read 2 more answers
PLS HELP ME ASAP WITH THIS! (LOTS OF POINTS!) (show work OR explain)
riadik2000 [5.3K]
So they tell you to let x represent the cost of Deandra's sofa. So since Selena's sofa costs 30 dollars LESS than HALF the cost of Deandra's, we know we have to divide by 2 and subtract 30. 
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7 0
3 years ago
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