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2 years ago

However, since we have 3 sets of 4, what can we do with the two exponents to avoid expansion?

Mathematics

1 answer:

Anvisha [2.4K]2 years ago

4 0

Answer:

To avoid expansion, you can just use the power of a power rule and multiply the two exponents from the start.

Step-by-step explanation:

(x^4)^3

= x^4×3

= x^12

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If a point in the figure below is chosen at random, what is the probability that it is in the shaded region?

Xelga [282]

Answer:

254/324 which is about 78.4%

Step-by-step explanation:

found area of entire square to be 18² or 324

found area of 4-quarter circles - which equals one circle with radius of 9

A = 81π which is about 70

subtracted 324 and 70 to get 254

ratio of shaded to unshaded is 254 : 324

3 0

1 year ago

What are the first three terms of the sequence modeled by the recursive function an=1/2an-1 when a1=1?

loris [4]

Answer:

Option A is correct that is $1,\frac{1}{2},\frac{1}{4}$

Step-by-step explanation:

We have been given a formula $a_n=\frac{1}{2}\cdot a_n-1$

$a_1=1$

We will put values of n in $a_n=\frac{1}{2}\cdot a_n-1$

when n=2 we get

$a_2=\frac{1}{2}\cdot a_2-1$

$\Rightarrow a_2=\frac{1}{2}\cdot a_1$

$\Rightarrow a_2=\frac{1}{2}\cdot 1$

$\Rightarrow a_2=\frac{1}{2}$

when n=3

$a_3=\frac{1}{2}\cdot a_2$

$\Rightarrow a_3=\frac{1}{2}\cdot \frac{1}{2}$

$\Rightarrow a_3=\frac{1}{4}$

Therefore, Option A is correct that is $1,\frac{1}{2},\frac{1}{4}$

6 0

2 years ago

Read 2 more answers

Factor 5x^2+20x+12

Readme [11.4K]

Answer:

5 x ^2 + 20 x + 12

Step-by-step explanation:

not factorable

6 0

2 years ago

A garden has an area of 196 square feet. If you want to edge the garden with 1 foot pavers that cost $1.90 each, how much will i

Rainbow [258]

Answer:

197.9

Step-by-step explanation:

4 0

2 years ago

The tile backslash will be a mixture of colors of five-inch square tiles. One quarter of the tiles will be "Indian Red" one sixt

Vladimir79 [104]

Answer:

The fraction of tiles that will be the color of "sand" is 23/60

Step-by-step explanation:

we know that

The sum of the fractions of the tiles must be equal to 1

Let

x ----> the fraction of tiles that will be the color of "sand"

we have that

$\frac{1}{4}+\frac{1}{6}+\frac{1}{5}+x=1$

solve for x

Find the Least Common Multiple of denominators

$LCM=(2^2)((3)(5)=60$

Multiply both sides by 60

$\frac{60}{4}+\frac{60}{6}+\frac{60}{5}+60x=60$

simplify

$15+10+12+60x=60$

$60x=60-37\\60x=23\\x=\frac{23}{60}$

therefore

The fraction of tiles that will be the color of "sand" is 23/60

5 0

3 years ago