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2 years ago

Write the following as a single power of 8: (8²)⁵

Mathematics

2 answers:

barxatty [35]2 years ago

6 0

Answer:

8^10

Step-by-step explanation:

you use the power of power property it means multiplying the powers not adding.

the answer is (8²)⁵=8^2*5=8^10

Ghella [55]2 years ago

4 0

Add the powers 2+3 and make it 8 with the power 5

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The product of two consecutive positive integers is 132. What are the integers?

alina1380 [7]

Answer:

The integers are 11 and 12

Step-by-step explanation:

11 and 12 are consecutive positive integers, and 11 x 12 = 132.

5 0

3 years ago

Simplify and factor if necessary

Dima020 [189]

Answer:

$\frac{1}{x}$

Step-by-step explanation:

$\frac{3x - 12}{3x^{2} - 12x}$

$\frac{3x - 12}{x(3x-12)}$ Factor out x.

$\frac{1}{x}$ Simplify.

4 0

2 years ago

What is the 3rd term in the sequence?

makvit [3.9K]

Answer:

Step-by-step explanation:

To find the third term substitute n = 3 into the n th term formula

a(3) = $\frac{3}{2}$ $(-2)^{3-1}$

= $\frac{3}{2}$ $(-2)^{2}$

= $\frac{3}{2}$ × 4 = 6

4 0

2 years ago

In an arithmetic sequence, if you are given a3=93 and a5=135, find a=100. Must show work to receive full credit.

Elanso [62]

The 100th term of the sequence is 2130.

<h3>How to calculate the value?</h3>

a3 = a + 2d = 93

a5 = a + 4d = 135

Compute both equations

(4d - 2d) = (135 - 93)

2d = 42

d = 42/2 = 21

a + 2d = 93

a + 2(21) = 93

a + 42 = 93

a = 94 - 42 = 51

100th term will be:

= a + 99d

= 51 + 99(21)

= 51 + 2079

= 2130

Learn more about sequence on:

brainly.com/question/6561461

#SPJ1

5 0

1 year ago

What is the y-coordinate of the point that divides the directed

e-lub [12.9K]

Answer:

(D)5

Step-by-step explanation:

Given the point J(-3,1) and K(8,11).

The line segment that divides the segment from J to K in any given ratio can be determined using the formula.

$P(x,y)=\left(\dfrac{mx_2+nx_1}{m+n} ,\dfrac{my_2+ny_1}{m+n}\right)$

In the given case:

$(x_1,y_1)=(-3,1), (x_2,y_2)=(8,11)$ , m:n=2:3

Since we are to determine the y-coordinate of the point that divides JK into a ratio of 2:3, we have:

$\dfrac{my_2+ny_1}{m+n}=\dfrac{2*11+3*1}{3+2}\\\\=\dfrac{22+3}{5}\\\\=\dfrac{25}{5}\\\\=5$

The y-coordinate of the point that divides the directed line segment from J to K into a ratio of 2:3 is 5.

The correct option is D.

3 0

3 years ago