Answer:
d:) 1024
Step-by-step explanation:
Evaluate (4 x^3)^2 where x = 2:
(4 x^3)^2 = (4×2^3)^2
Multiply each exponent in 4×2^3 by 2:
4^2 (2^3)^2
Multiply exponents. (2^3)^2 = 2^(3×2):
2^(3×2)×4^2
4^2 = 16:
2^(3×2)×16
3×2 = 6:
2^6×16
2^6 = (2^3)^2 = (2×2^2)^2:
(2×2^2)^2 16
2^2 = 4:
(2×4)^2 16
2×4 = 8:
8^2×16
8^2 = 64:
64×16
| | 6 | 4
× | | 1 | 6
| 3 | 8 | 4
| 6 | 4 | 0
1 | 0 | 2 | 4:
Answer: 1024
1.875 is what you are looking for.
Answer:
the answer is d.
Step-by-step explanation:
first, you want to use the formula,
new value - original value
<u>____________________</u>
original value * 100
you see that 84 is the new value and 79 would be the original value. substitute the numbers in. this is a increase since you will get a positive value.
84 - 79
<u>______</u>
79 * 100
now we solve it.
5
<u>__</u>
79 * 100
you can either solve the fraction first then multiply that by 100 or multiply the numerator by 100 first then divide that by 79, each way works.
500
<u>____</u>
79 = approximately 6.3% increase (this is not a exact value, just rounded)
or
5
<u>__</u>
79 = approximately 0.063 (this is not a exact value, just rounded)
0.063 * 100 = 6.3% increase
An octagon has 8 sides. Each side is given as 2a + 1
Perimeter = 8(2a + 1)
= 16a + 8
Answer: 16a + 8
Answer: 25:15
Step-by-step explanation: in the ratio 5:3 the 5 is dogs and the 3 is cats you multiply the 5 (aka the dogs) by 5 to get 25 (the amount of dogs in the shelter) when you multiply 3 by 5 you get the amount of cats which is 15, a good way to remember is what you do to one side you have to do to the other. I hope this helps.
