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Mariulka [41]
2 years ago
7

Determine x in the figure. 74° 2xº

Mathematics
1 answer:
Monica [59]2 years ago
6 0

Answer:

-37

Step-by-step explanation:

Simplifying

74 + 2x = 0

Solving

74 + 2x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-74' to each side of the equation.

74 + -74 + 2x = 0 + -74

Combine like terms: 74 + -74 = 0

0 + 2x = 0 + -74

2x = 0 + -74

Combine like terms: 0 + -74 = -74

2x = -74

Divide each side by '2'.

x = -37

Simplifying

x = -37

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Just basic simplification, make 1 of the variable alone on one side

5 0
3 years ago
Which of the following is true?
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Answer:

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Step-by-step explanation:

because if u add them together you get the answer

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<img src="https://tex.z-dn.net/?f=%20%5Crm%5Cfrac%7Bd%7D%7Bdx%7D%20%20%20%5Cleft%20%28%20%5Cbigg%28%20%5Cint_%7B1%7D%5E%7B%20%7B
Margaret [11]

Applying the product rule gives

\displaystyle \frac{d}{dx}\int_1^{x^2}\frac{2t}{1+t^2}\,dt \times \int_1^{\ln(x)}\frac{dt}{(1+t)^2} + \int_1^{x^2}\frac{2t}{1+t^2}\,dt \times \frac{d}{dx}\int_1^{\ln(x)}\frac{dt}{(1+t)^2}

Use the fundamental theorem of calculus to compute the remaining derivatives.

\displaystyle \frac{4x^3}{1+x^4} \int_1^{\ln(x)}\frac{dt}{(1+t)^2} + \frac{1}{x(1+\ln(x))^2}\int_1^{x^2}\frac{2t}{1+t^2}\,dt

The remaining integrals are

\displaystyle \int_1^{\ln(x)}\frac{dt}{(1+t)^2} = -\frac1{1+t}\bigg|_1^{\ln(x)} = \frac12-\frac1{1+\ln(x)}

\displaystyle \int_1^{x^2}\frac{2t}{1+t^2}\,dt=\int_1^{x^2}\frac{d(1+t^2)}{1+t^2}=\ln|1+t^2|\bigg|_1^{x^2}=\ln(1+x^4)-\ln(2) = \ln\left(\frac{1+x^4}2\right)

and so the overall derivative is

\displaystyle \frac{4x^3}{1+x^4} \left(\frac12-\frac1{1+\ln(x)}\right) + \frac{1}{x(1+\ln(x))^2} \ln\left(\frac{1+x^4}2\right)

which could be simplified further.

5 0
2 years ago
The figure on the left represents a scale drawing of the figure on the right. What is the scale?
stich3 [128]

Answer:10

Step-by-step explanation:

7 0
3 years ago
The Venn diagram shows the number of participants in extracurriucular activities for a junior class of 324 students. Determine t
salantis [7]
<h3>Answer:  53/108</h3>

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

Explanation:

  • Step 1) add up all the values in the circles "drama" and "music". Those values are 51, 15, 12, 11, 7, 63. So we get 51+15+12+11+7+63 = 159. There are 159 students that are in drama, music, or both. Some take athletics as well, but we aren't concerned with that third class.
  • Step 2) Divide 159 over the total number of juniors, which is 324. We get 159/324.
  • Step 3) Reduce the fraction 159/324 to get the answer 53/108. You would divide both parts of 159/324 by the GCF 3. So we have 159/3 = 53 and 324/3 = 108

If you want the decimal approximation, then use a calculator to get roughly 53/108 = 0.4907, though your teacher wants the exact fraction form.

5 0
3 years ago
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