All categories

3 years ago

Simplify the expression: (a/b)^k

Mathematics

1 answer:

PilotLPTM [1.2K]3 years ago

3 0

Answer:

A^k/b^k

Step-by-step explanation:

A/b^k=a^k/b^k

You might be interested in

The veterinarlan told Sally that her cat needs to lose 5 pounds. A healthy weight loss for her cat would be about 1 pound every

padilas [110]

Answer:

It would take 10 weeks for her cat to lose 5 pounds.

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

For the linear equation 3x + 7y = 42: a. Determine the slope: b. Determine y- intercept if it exists: c. Express equation in slo

algol13

Answer: The required answers are

(a) the slope of the given line is $-\dfrac{3}{7}.$

(b) y-intercept exists and is equal to 6.

(c) the slope-intercept form of the line is $y=-\dfrac{3}{7}x+6.$

Step-by-step explanation: We are given the following linear equation in two variables :

$3x+7y=42~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

We are to :

(a) determine the slope,

(b) determine the y-intercept, if exists

and

(c) express equation in slope-intercept form.

We know that

The SLOPE_INTERCEPT form of the equation of a straight line is given by

$y=mx+c,$ where m is the slope and c is the y-intercept of the line.

From equation (i), we have

$3x+7y=42\\\\\Rightarrow 7y=-3x+42\\\\\Rightarrow y=\dfrac{-3x+42}{7}\\\\\\\Rightarrow y=-\dfrac{3}{7}x+6.$

Comparing with the slope-intercept form, we get

$\textup{slope, m}=-\dfrac{3}{7},\\\\\\\textup{y-intercept, c}=6.$

Thus,

(a) the slope of the given line is $-\dfrac{3}{7}.$

(b) y-intercept exists and is equal to 6.

(c) the slope-intercept form of the line is $y=-\dfrac{3}{7}x+6.$

3 0

3 years ago

What is the measure of ACB in O below?

Nezavi [6.7K]

Answer:

Step-by-step explanation:

The central angle is equal to the arc that subtends it , then

arc AB = 30°

arc ACB = 360° - 30° = 330° → A

7 0

3 years ago

Gia got some books from Library yesterday she got five books today Gia returned three books Gia has six books how many books did

makvit [3.9K]

Answer: 4

Explanation:

You can write an algebraic expression to represent the sequence with the books in this way:

yesterday she got five books: 5
today returned three books: - 3
how many books did Gia have to begin: n
At the end she has six books, which means that you can set an equality:

n + 5 - 3 = 6

Now you follow these steps to clear the unknown:

do the operations in the left side: n + 2 = 6
use subtraction property of equality: n = 6 - 2
do the operations: n = 4

And that is the number of books whith which Gina started: 4

6 0

3 years ago

The area of a circle is 16π cm2. What is the circle's circumference?

agasfer [191]

Answer:

C = 8 pi cm

Step-by-step explanation:

The area of a circle is given by

A = pi r^2

16 pi = pi r^2

Divide each side by pi

16 = r^2

Taking the square root

4 = r

The circumference is

C = 2 * pi *r

C = 2* pi *(4)

C = 8 pi cm

4 0

2 years ago