Represent the following expressions as a power of the number a (a≠0):
((a^2)^−2)^5÷(a^15)​

Answer:

544

Step-by-step explanation:

430+114

Answer:

x=−6

Step-by-step explanation:

4x−4+10=3x

Step 1: Simplify both sides of the equation.

4x−4+10=3x

4x+−4+10=3x

(4x)+(−4+10)=3x(Combine Like Terms)

4x+6=3x

4x+6=3x

Step 2: Subtract 3x from both sides.

4x+6−3x=3x−3x

x+6=0

Step 3: Subtract 6 from both sides.

x+6−6=0−6

Answer:

l4x-

Step-by-step explanation:

Sorry I hope this is it I hoped it help sorry.

please leave a thanks.

Answer:

0.037

hope thats the answer

Answer:

Answer= 0.037

Step-by-step explanation:

([tex]3^{-3}[/tex]) is the same as [tex]\frac{1}{3^{3} }[/tex]

(the negative power rule states that [tex]x^{-y}[/tex] is the same as [tex]\frac{1}{x^{y} }[/tex])

which is equal to [tex]\frac{1}{27}[/tex]

or converted to decimals it will be equal to 0.037

9514 1404 393

Answer:

  82 ft

Step-by-step explanation:

We can find the value of x by making use of the fact that corresponding angles have equal measures.

  ∠K = ∠N

  20x -10 = 15x +15

  5x = 25 . . . . . . . . . . add 10-15x

  x = 5 . . . . . . . . . . . .  divide by 5

Then the side lengths are ...

  JK = (4x -4) ft = (4·5 -4) ft = 16 ft

  KL = (5x +1) ft = (5·5 +1) ft = 26 ft

And the perimeter is the sum of side lengths:

  16 ft + 26 ft + 40 ft = 82 ft

The perimeter of each pool is 82 feet.

Answer:32.4

Step-by-step explanation:

The measure of ∠W to the nearest 10th of a degree is, 32.9°.

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

We know, The cosine rule of triangles, In a triangle, ABC with sides opposite to A is a and similar for b and c.

We have. cosA = (b² + c² - a²)/2bc.

Therefore, m∠W = (u² + v² - w²)/2uv.

m∠W = 0.84.

So, cosФ = 0.84.

Ф = cos⁻¹(0.84).

Ф = 32.9°.

learn more about the cosine rule of triangles here :

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1 inch to 100 feet

12 inches = 1200 feet.

Just multiply both sides by 12.

The answer is 1200 feet.

Answer:

$110

Step-by-step explanation:

450-210= 240÷4= 60 +50=110

Answer:

3n

Step-by-step explanation:

3 x n

simplifies to be

3n

hope this helps

9514 1404 393

Answer:

Step-by-step explanation:

Let Q represent the number of quarters. Then (Q-4) is the number of dimes, and the total amount of money is ...

  25Q +10(Q -4) = 520

  35Q = 560 . . . . . add 40

  Q = 560/35 = 16

Ngo has 16 quarters and 12 dimes.

Answer:

-5

Step-by-step explanation:

Answer:

GIVEN x=4 and y=-2

So, in (9x-2y)/xy when we apply x=4 and y=-2​

{9(4)-2(-2)}/(4)(-2)

36+4/-8

40/-8

-5/1

=-5

Answer:

The answer is y = 1/3 |x|

Step-by-step explanation:

Answer:

d.5r√3

Step-by-step explanation:

5 and r is common when square root, so,

√5×5×3×r×r

=5r√3

Answer:

B. [tex]3^{6}[/tex]

Step-by-step explanation:

I hope this helps!

Answer:

Step-by-step explanation:

Given:

Possible expressions resulting in a rational number are the product of A and B and any combination of C and D as they are rational

Correct choices

Answer:

Step-by-step explanation:

Range of the function is the set of y-values (output values) of the function on the graph.

Domain of the function is the set of x-values (input values) of the function.

Domain of the function : [-5, 4)

(including x = -5 and excluding x = 4)

Range : [-4, 2)

(Including y = -4 and excluding y = 2)

x - intercepts : x = -5, -2, 2

Average rate of change over the interval [0, 2]

= [tex]\frac{f(2)-f(0)}{2-0}[/tex]

= [tex]\frac{0-(-4)}{2-0}[/tex] [Since, f(2) = 0, f(0) = -4]

= 2

Right most interval where the graph is positive → [2, 4]

The key feature of a function include the intercepts and intervals of the function

(a) The range

The least y value on the graph is at y = -4, and the maximum is at y = 2, with an open circle.

So, the range is:

[tex]\mathbf{Range = [-4,2)}[/tex]

(b) The domain

The least x value on the graph is at x = -5, and the maximum is at x = 4, with an open circle.

So, the domain is:

[tex]\mathbf{Domain = [-5,4)}[/tex]

(c) The x-intercepts

This is the point where the graph crosses the x-axis.

So, we have:

[tex]\mathbf{x-intercept =-2 \ and\ 2}[/tex]

(d) Average rate of change over [0,2]

From the graph, we have:

f(0) = -4

f(2) = 0

So, the average rate of change (m) is:

[tex]\mathbf{m = \frac{f(2) - f(0)}{2 - 0}}[/tex]

[tex]\mathbf{m = \frac{0 - -4}{2 - 0}}[/tex]

[tex]\mathbf{m = \frac{4}{2}}[/tex]

[tex]\mathbf{m =2}[/tex]

(d) The right-most interval where the graph is positive

The graph is positive from x = 2 to x = 4.

Hence, the right-most interval where the graph is positive is [2,4]

Read more about features of a function at:

https://brainly.com/question/17343786

Answer:$3.50

Step-by-step explanation:

14/4 =3.5. To check answer multiply 3.5 by 4. You get 14

Answer:

F

Step-by-step explanation:

Answer:

195 cans will be left after 10 days

Sample Answer: I am given a number of cans, which is y, and I need to find the number of days, which is x. To do this, I would substitute 2600 for y, to get 2600 = 235x + 15. Solving for x, I would get x = 11. Thus, it would take 11 days to collect 2600 cans.

Step-by-step explanation:

i did the edge thing

Answer:

I am given a number of cans, which is y, and I need to find the number of days, which is x. To do this, I would substitute 2600 for y, to get 2600 = 235x + 15. Solving for x, I would get x = 11. Thus, it would take 11 days to collect 2600 cans.

Step-by-step explanation:

hope this helps

did it on edge

have a good day

Answer:

h(x) = x² + 24

Step-by-step explanation:

First solve for g(2) in g(x) = x³ + 4x² + 8x - 7 by simply substituting 2 in x variable. The result is 33.

Then get the sum of f(x) and 33 to find h(x).

Answer:

20 km/hr

Step-by-step explanation:

The total time she takes to travel 10 km is 30 minutes of 0.5 hours.

To calculate speed, we can divide the distance traveled by the time it takes.

[tex]s = \frac{10}{0.5} = 20[/tex] km/hr

Answer:

y = 2x + 1

Step-by-step explanation:

1. Find the slope: change in y/change in x

[tex]\frac{5-1}{2-0}[/tex] = 2

Slope: 2

2. Find y-intercept by substituting in a point (0, 1)

y = 2x + b

1 = b

3. Put the equation together

y = 2x + 1

The equation of the line passing through the points (0, 1) and (2, 5) is y = 2x + 1.

y intercept is the y coordinate of the point on the line where it touches the Y axis. The x coordinate will be 0 there.

The equation of a line in slope intercept form is,

y = mx + c

Here m is the value of the slope and c is y intercept.

Slope of a line is the ratio of the change in y coordinates to the change in the x coordinates of two points given.

Given two points (0, 1) and (2, 5).

Slope, m = (5 - 1) / (2 - 0)

               = 4 / 2

               = 2

c is the y coordinate when x = 0.

We have that point given (0, 1).

So c = 1

Substituting m = 2 and c = 1 in the general form, we get,

y = 2x + 1

Hence the equation of the line is y = 2x + 1.

To learn more about y intercepts, click on the link :

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Answer:

93

Step-by-step explanation:

13+18 = 31

31x3= 93

Answer:

me

Step-by-step explanation:

Answer:

Hope this helps

shshsgshsh

Answer:

C. 153

Step-by-step explanation:

I just did this quiz and got it right!! Hope this helps! :D

Answer:

meteor hitting earth

Step-by-step explanation:

not sure of actual probability but i believe one that would cause mass extinction is quite improbable

Answer:

41.25 minutes i think sorry if its wrong