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il63 [147K]
3 years ago
11

Use a single digit times a power of 10 to estimate the number 0.00002149 please help :(

Mathematics
1 answer:
Rus_ich [418]3 years ago
8 0

Answer:

2.149 × 10-5

Step-by-step explanation:

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Two angles are supplementary if their sum is​ 180°. the larger angle measures five degrees more than four times the measure of a
wlad13 [49]
Let x represent the smaller angle.
Let y represent the larger angle.

The problem states that the larger angle measures five degrees more than four times the measure of the smaller angle.
With this given information, we can create the following equation.

y=4x+5

Also, they a supplementary, meaning that they add up to 180. We can create another equation.

x+y=180

Since we have two linear equations and we want to find the solution, we have a system of linear equations. Let's solve this system by using the substitution method.

Substitute y=4x+5 into x+y=180

x+y=180

After substituting, you get

x+4x+5=180

Now, combine the x's

5x+5=180

Subtract both sides by 5

5x=175

Divide both sides by 5.

x=35

Now, we can solve for y using the equation x+y=180 since we know the value of x.

35+y=180

Subtract both sides by 35.

y=145

The smaller angle has a measure of 35 degrees and the larger one has a measure of 145 degrees. Have an awesome day! :)
5 0
3 years ago
Calculate the range for the set of numbers <br> 23, 17, 43, 50, 29, 23, 43
Veseljchak [2.6K]

Answer:

The answer is 33

Step-by-step explanation: Range is maximum number in the set minus the minimum number in the set of numbers.

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2 years ago
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Why would you need inequalities?
77julia77 [94]

Answer:

An inequality is a mathematical expression that contains inequality signs. For example, y≤ 12x is an inequality. Inequalities are used to tell us that an expression is either larger or smaller than another expression. Equations and inequalities can contain both variables and constants.

Step-by-step explanation:

4 0
3 years ago
∫<img src="https://tex.z-dn.net/?f=%5Cfrac%7Bxdx%7D%7B%28x%5E%7B2%7D%2B4%29%5E%7B3%7D%20%7D" id="TexFormula1" title="\frac{xdx}{
photoshop1234 [79]

Substitute u=x^2+4 and du=2x\,dx. Then the integral transforms to

\displaystyle \int \frac{x\,dx}{(x^2+4)^3} = \frac12 \int \frac{du}{u^3}

Apply the power rule.

\displaystyle \int \frac{du}{u^3} = -\dfrac1{2u^2} + C

Now put the result back in terms of x.

\displaystyle \int \frac{x\,dx}{(x^2+4)^3} = \frac12 \left(-\dfrac1{2u^2} + C\right) = -\dfrac1{4u^2} + C = \boxed{-\dfrac1{4(x^2+4)^2} + C}

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2 years ago
Aisha bought 15 apples and oranges for $9.00. Each orange costs $0.50, and each apple costs $0.65. Let x represent the number of
Alecsey [184]
I might be wrong but i think its 
.5x + .65y = 15
3 0
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