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2 years ago

I need help anyone! Fill in the blank: what reason belongs in step 10?

Mathematics

1 answer:

emmasim [6.3K]2 years ago

4 0

I think 2 is the isosceles triangle theorem.

I think 10 is SAS

11 is CPCTC (My favorite thing to say)

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Please help me with this question

san4es73 [151]

Step-by-step explanation:

Given: $f'(x) = x^2e^{2x^3}$ and $f(0) = 0$

We can solve for f(x) by writing

$\displaystyle f(x) = \int f'(x)dx=\int x^2e^{2x^3}dx$

Let $u = 2x^3$

$\:\:\:\:du=6x^2dx$

Then

$\displaystyle f(x) = \int x^2e^{2x^3}dx = \dfrac{1}{6}\int e^u du$

$\displaystyle \:\:\:\:\:\:\:=\frac{1}{6}e^{2x^3} + k$

We know that f(0) = 0 so we can find the value for k:

$f(0) = \frac{1}{6}(1) + k \Rightarrow k = -\frac{1}{6}$

Therefore,

$\displaystyle f(x) = \frac{1}{6} \left(e^{2x^3} - 1 \right)$

5 0

2 years ago

The length of a rectangle is 11 units more than its width. The perimeter of the rectangle is 182 units. Solve for the dimensions

alekssr [168]

Answer:

2160 units square

Step-by-step explanation:

We are given the perimeter of 182 units and that the lengths are 11 more units than the width. So the length is W+11, eleven more than the width. There is also 2 width sides so the sum of the lengths are 2W+22. There is also 2 width sides so if you add that to the equation the perimeter equals 4W+22.

4W+22=182

4W=160

W=40

So the width is 40 units, and the length is 11 more so the length is 54 units. Multiply these two numbers to get the area. 44*54=2160 square units.

3 0

3 years ago

LINEAR ALGEBRA<br><br> List four variables and link them using one equation

Studentka2010 [4]

A+b+c+d=18 is an example

7 0

3 years ago

Mary will rent a car for the weekend. She can choose one of two plans. The first plan has no initial fee but costs $0.70 per mil

AlexFokin [52]

Mary would have to drive 750 for the plans to be the same.

7 0

3 years ago

Read 2 more answers

30 POINTS<br><br> why are 3/4 and 6/8 equivalent

Flauer [41]

Step-by-step explanation: In order to decide whether the given fractions are equivalent, first write each fraction in lowest terms. Remember, a fraction is written in lowest terms if the greatest common factor of the numerator and the denominator is 1.

For our first fraction which is 3/4, the greatest common factor of 3 and 4 is 1, the fraction is already in lowest terms.

For our second fraction however, since the greatest common factor of 6 and 8 is 2, we must divide both the numerator and denominator by 2 which gives us 3/4.

3/4 = 3/4 which means these fractions are equivalent.

3/4 and 6/8 are equivalent because if you reduce 6/8 in lowest terms, you end up with the fraction 3/4.

3 0

3 years ago