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soldi70 [24.7K]
2 years ago
10

PLEASE HELP!!! I JUST NEED A STEP-BY-STEP!!!!!!

Mathematics
1 answer:
Naya [18.7K]2 years ago
6 0

Answer:

Step-by-step explanation:

=5\displaystyle\int_{0}^{\pi/6}dx\displaystyle\int_{0}^{2}x\sec^2(xy)dy\\=5\displaystyle\int_{0}^{\pi/6}dx\displaystyle\int_{0}^{2}\sec^2(xy)d(xy)\\=5\displaystyle\int_{0}^{\pi/6}dx\tan(xy)|_{y=0}^{y=2}

=5\displaystyle\int_{0}^{\pi/6}\tan(2x)dx\\=-\frac{5}{2}\ln\cos(2x)|_{0}^{\pi/6}\\=-\frac{5}{2}[\ln\cos(\pi/3) - \ln\cos(0)]\\

=-\frac{5}{2}\ln{\frac{1}{2}

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Solve for x: −2(x + 3) = −4(x + 1) − 4
Stolb23 [73]

Hello! My name is Chris and I’ll be helping you with this problem.

Date: 9/27/20  Time:  

Answer:  

x = -1

Explanation:

Step 1: Simplify both sides of the equation.

−2(x+3)=−4(x+1)−4

(−2)(x)+(−2)(3)=(−4)(x)+(−4)(1)+−4(Distribute)

−2x+−6=−4x+−4+−4

−2x−6=(−4x)+(−4+−4)(Combine Like Terms)

−2x−6=−4x+−8

−2x−6=−4x−8

Step 2: Add 4x to both sides.

−2x−6+4x=−4x−8+4x

2x−6=−8

Step 3: Add 6 to both sides.

2x−6+6=−8+6

2x=−2

Step 4: Divide both sides by 2.

2x  = -2

/2      /2

x=−1

I hope this helped answer your question! Have a great rest of your day!

Furthermore,  

Chris

5 0
2 years ago
Read 2 more answers
What is the cube root of 0.008? A) 2 B) 0.2 C) 0.02 D) 0.002
bazaltina [42]
Correct answer is 0.2

0.2 * 0.2 is 0.04
then 0.04 * 0.2 = 0.008

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3 years ago
Round 46 7/16" to the nearest 16th inch
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46 7/16 is already to the nearest 16th, you are done
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3 years ago
Karma is building a rectangular table with an area of 18,000 cm?. He wants to put wood trim around the four edges. What is the s
jok3333 [9.3K]

The shortest length is given by the function for the perimeter of the

rectangular table.

  • The shortest length of trim he could use is <u>536.66 cm</u>
<h3>Method used for finding the shortest length of trim</h3>

The given parameter;

Area of the rectangular table Karma is building, <em>A</em> = <u>18,000 cm²</u>

Required:

The shortest length of trim he could use which he wants to put around the four edges.

Solution:

Let <em>l</em> represent the length of the table, and let <em>w</em> represent the width, therefore;

Perimeter of the table, <em>P</em> = 2·l + 2·w

Area, <em>A</em> = l × w

Which gives;

18,000 = l × w

l = \dfrac{18,000}{w}

Which gives;

P = 2 \cdot \dfrac{18,000}{w} + 2 \cdot w

At the minimum point, we have;

\dfrac{d}{dw} P = \dfrac{d}{dw} \left(2 \cdot \dfrac{18,000}{w} + 2 \cdot w\right)= \mathbf{\dfrac{2 \cdot w^2 - 36,000}{w^2} }= 0

Which gives;

2·w² - 36,000 = w² × 0 = 0

2·w² = 36,000

w^2 = \dfrac{36,000}{2} = 18,000

The width of the rectangular table, <em>w</em> = √(18,000)

Length \ of \ the \ table\ l = \dfrac{18,000}{\sqrt{18,000} } = \sqrt{18,000}

Therefore;

The perimeter of the table, P ≈ 2 × √(18,000) + 2 × √(18,000) ≈ 536.656

The length of trim required = The perimeter of the rectangular table, <em>P</em>

Therefore;

  • The shortest length of the trim he could use, given to the nearest hundredth is <u>536.66 cm</u>

Learn more about area and perimeter of a figure here:

brainly.com/question/9135929

4 0
2 years ago
Heeeeeeeeeeeeeeeeeeeeeelp
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You plug it in so it’ll be 11; 8; 5; 2
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