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3 years ago

15

Which number is equivalent to (1/3)^-4 A.12 B.81 C.1/12 D.1/81

1 answer:

marishachu [46]3 years ago

6 0

Answer:

B

Step-by-step explanation:

(1/3)^-4

=1/[(1/3)^4]

=1/(1/81)

=81

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The following circle graph represents first-quarter absences of Washington Middle School students. If 96 students had two or mor

UkoKoshka [18]

How many students had 3 or more absences? Add together {45%, 21%, 23%} and subtract that sum from 100%: 11%.

How many students had two or more absences? Add together this 11% and 21%: 32% had two or more absences. Let the total number of students be n. Then 32% of these n students add up to 96 students. Thus, 0.32n = 96, and n= 300.

How many students had one absence? The chart shows that that is 45%, and we know that there are 300 students total.

Thus, the number of students who had one absence was 0.45(300) = 135.

4 0

4 years ago

Read 2 more answers

An English teacher needs to pick 1111 books to put on his reading list for the next school year. He has narrowed down his choice

forsale [732]

Answer:

There are 3,659,040 ways he can choose the books to put on the list.

Step-by-step explanation:

There are

12 novels

8 plays

12 nonfiction.

He wants to include

5 novels

4 plays

2 nonfiction

The order in which the novels, plays and nonfictions are chosen is not important. So we use the combinations formula to solve this problem.

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

How many ways can he choose the books to put on the list?

Novels:

5 from a set of 12. So

$C_{12,5} = \frac{12!}{5!7!} = 792$

Plays:

4 from a set of 8. So

$C_{8,4} = \frac{8!}{4!4!} = 70$

Nonfiction:

2 from a set of 12

$C_{12,2} = \frac{12!}{2!10!} = 66$

Total:

Multiplication of novels, plays and nonfiction.

$T = 792*70*66 = 3,659,040$

There are 3,659,040 ways he can choose the books to put on the list.

4 0

3 years ago

The figure is made from squares of different sizes.Find the area of A if the side of each of the two indentical smallest square

andrew11 [14]

U forgot to post the picture

6 0

3 years ago

S varies inversely as G. If S is 8 when G is 1.5, find S when G is 3. a) Write the variation. b) Find S when G is 3.

ss7ja [257]

Step-by-step explanation:

a.

$s \: = \frac{k}{g}$

$8 = \frac{k}{1.5}$

$k \: = 1.5 \times 8 = 12$

$s = \frac{12}{g}$

b.

$s = \frac{12}{3}$

s = 4

4 0

3 years ago

Let f(x)= 8x³ + 16x² -15 and g(x) = 2x+1. f(x)/g(x).

N76 [4]

Answer:

f(x)/g(x) = 4x^2+6x-3 remainder -12

or

f(x)/g(x) = (4x^2+6x-3)/(2x+1) + (-12)/(2x+1)

or

((4x²+6x-3)-12)/(2x+1)

Step-by-step explanation:

f(x)= 8x³ + 16x² -15

g(x) = 2x+1.

Using long division,

f(x)/g(x) = 4x^2+6x-3 remainder -12

5 0

4 years ago