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jenyasd209 [6]
3 years ago
12

Indicate the correct alternative. The expression (10%) ² - (5%) ² is equivalent to:

Mathematics
1 answer:
Tanzania [10]3 years ago
5 0
Convert 10% into a decimal 
(0.1)^{2} - (5%)^{2}

Remove parentheses around 0.1
0.1^{2}-(5%)^{2}

Raise 0.1 to the power 2 to get 0.1
0.01-(5%)^{2}

Convert 5% to a decimal
0.01-(0.05)^{2}

Remove parentheses around 0.05
0.01-0.05^{2}

Raise 0.05 to the power of 2 to get 0.0025
0.01-1*0.0025

Multiply -1 by 0.0025 to get -0.0025
0.01-0.0025

Subtract 0.0025 from 0.01 to get 0.0075

You Answer is: 0.0075

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Additive inverse of -0.5
Veseljchak [2.6K]

Answer:

0.5

Step-by-step explanation:

If you add 0.5 to -0.5, it will equal 0.

4 0
2 years ago
Write an equation of a line parallel to line EF below in slope-intercept form that passes through the point (2, 6).
N76 [4]

Answer:

y = -⅔x + ²²/₃  

Step-by-step explanation:

1. Calculate the slope of EF

Assume E is at (-2, 5) and F is at (1, 3).

m₁ = (y₂ - y₁)/(x₂ - x₁) = (3 - 5)/(1 -(-2)) = -⅔

2. Calculate the slope of the parallel line

m₂ = m₁ = -⅔

3. Calculate its y-intercept

y = mx + b

6 =-⅔(2) + b

Simplify

6 = -⁴/₃ + b

Add ⁴/₃ to each side

b = 6 + ⁴/₃ = ¹⁸/₃ + ⁴/₃ = ²²/₃

The y-intercept is at (0,²²/₃).

4. Write the equation for the line

y = -⅔x + ²²/₃

The diagram shows EF in red. The parallel line in black passes through (2, 6) with a y-intercept at (0,²²/₃).

7 0
3 years ago
I need help ASAP!
Semmy [17]

Answer:

One angle measures 150 degrees.

The second angle is 30 degrees.

Step-by-step explanation:

5 0
3 years ago
How much higher is -200 than 450m
Norma-Jean [14]

Answer:

-200 isn't higher than 450 but 450 is:

450 is 250 higher than -200

Step-by-step explanation:

8 0
2 years ago
Solve the following equation for X to find the total number of people who downloaded songs for music site for a certain month.
quester [9]

Answer:

960

Step-by-step explanation:

x=0.6x+384

0.4x=384

960

7 0
2 years ago
Read 2 more answers
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