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zloy xaker [14]
1 year ago
13

Simplify the expression.

Mathematics
1 answer:
LenKa [72]1 year ago
8 0

\huge\boxed{4x}

Start by simplifying the power.

(5x)^3=5^3x^3=125x^3

\dfrac{500x^4}{125x^3}

Cancel out the common factor of 125.

\dfrac{4x^4}{x^3}

Finally, cancel out the common factor of x^3.

\boxed{4x}

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Classify this triangle by its sides.
ruslelena [56]

Step-by-step explanation:

The answer is scalene triangle

7 0
2 years ago
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A computer tech charges a $30 initial fee to come and fix a household computer plus $15 per hour. Which of the following linear
saveliy_v [14]

Answer

45$

Step-by-step explanation:

if you only needs to be there for one hour it is for 45

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3 0
3 years ago
Let sugar be the explanatory variable and calories be the response variable; which scenario best describes ŷ = 57 + 2.5x?
algol13

Answer: Choice E)

The amount of calories in fruit juice increases by 2.5 for every one gram of sugar. The calorie amount estimated by this model is 57 if there are zero grams of sugar.

=============================================================

Explanation:

x = amount of sugar (in grams)

y = number of calories in the juice

ŷ = estimate of y, so its the estimate of calories in the juice

The regression equation rearranges to ŷ = 2.5x + 57

This is in the form y = mx+b where m = 2.5 is the slope and b = 57 is the y intercept.

The slope tells us what the rate of change is. Specifically, it tells us how much the amount of calories (y) is going up each time the amount of sugar (x) goes up. Each time x goes up by 1, y goes up by 2.5

The y intercept 57 is the starting or initial amount of calories. If you have 0 grams of sugar, the lowest amount of sugar possible, then you start off with 57 calories. We can see this by plugging x = 0 into ŷ = 2.5x + 57 (you should get ŷ = 57). Visually, the y intercept is where the line crosses the y axis.

All of these facts point to choice E as the final answer.

6 0
3 years ago
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Triangle △ABC is reflected across line n to create △ A'B'C', What is the measure of ∠C?
Ilya [14]

The measure of ∠C is 54°.

<h3>To solve the problem :</h3>

let us assume that line n is a mirror.

∴ ∠A = ∠A' = 59°

∠B = ∠B' = 67°

∠C = ∠C'

According to property of triangles :

Sum of all angles of a triangle is 180°.

∴ A + B + C = 180°

59 + 67 + C = 180

C = 180 - (59 +67)

C = 54°

<h3>∴ The measure of ∠C is 54°.</h3>

To know more about triangles refer to :

brainly.com/question/1620555

#SPJ2

6 0
2 years ago
I need help with this one
nikklg [1K]

x-intercept when y = 0

Look at the graph, when y = 0, x = 2


So x-intercept (2, 0)


Answer

C. (2,0)

8 0
3 years ago
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