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3 years ago

MAKE SURE IT IS 100% CORRECT

Mathematics

1 answer:

masha68 [24]3 years ago

7 0

They are vertical angles. They are congruent.

(2x+2)= (3x-52)

Add 52 to the other side.

2x+54=3x

Subtract 2x on both sides.

54=x

I hope this helps!
~kaikers

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Evaluating more integrals

Greeley [361]

(a) The integral is equal to the area of the triangle; it has height 20 and base 10, so the area is 20*10/2 = 100.

(b) The integral is equal to the area of the semicircle with radius 10. It's also under the horizontal axis, so the area is negative. The semicircle has area $\frac{\pi10^2}2=50\pi$ , so the integral is -50π.

$\displaystyle\int_{30}^{35}g(x)\,\mathrm dx$

which is the area of the triangle on the right. It has height and base 5, so its area is 25/2.

Then split up the desired integral as

$\displaystyle\int_0^{35}g(x)\,\mathrm dx=\int_0^{10}g(x)\,\mathrm dx+\int_{10}^{30}g(x)\,\mathrm dx+\int_{30}^{35}g(x)\,\mathrm dx$

and plug in the integral values you know:

$\displaystyle\int_0^{35}g(x)\,\mathrm dx=100-50\pi+\frac{25}2=\frac{225}2-50\pi$

4 0

3 years ago

<img src="https://tex.z-dn.net/?f=2%5E%7B4x%20%2B%2014%7D%20%20%3D%20%20%7B64%7D%5E%7Bx%20%2B%202%7D%20" id="TexFormula1" title=

frutty [35]

$\\ \rm\longmapsto 2^{4x+4}=64^{x+2}$

$\\ \rm\longmapsto 2^{4x+4}=(2^6)^{x+2}$

$\\ \rm\longmapsto 2^{4x+4}=2^{6(x+2)}$

$\\ \rm\longmapsto 4x+4=6(x+2)$

$\\ \rm\longmapsto 4x+4=6x+12$

$\\ \rm\longmapsto 4-12=6x-4x$

$\\ \rm\longmapsto -8=2x$

$\\ \rm\longmapsto x=\dfrac{-8}{2}$

$\\ \rm\longmapsto x=-4$

8 0

3 years ago

Read 2 more answers

A tour boat left the dock and traveled west at an average speed of 10 mph. A smaller fishing boat left some time later traveling

valina [46]

Answer:

The answer is D.

Step-by-step explanation:

Time = Distance / Speed

Distance = 12 *10 =120

Time = 120 / 12

Time = 10

Please correct if me if I'm wrong

6 0

3 years ago

Read 2 more answers

Really easy points!!!!!! Please solve for all three answers.

katen-ka-za [31]

Answer:

1/64, 1/256, 1/1024

Step-by-step explanation:

To get from 16 to 4 we multiply by 1/4

To get from 4 to 1 we multiply by 1/4

Each time we multiply by 1/4

The next term would be 1/16 * 1/4

1/16 * 1/4 = 1/64

The take that term 1/64 and multiply by 1/4

1/64*1/4 = 1/256

Finally take 1/256 and multiply by 1/4

1/256*1/4 =1/1024

8 0

4 years ago

7. The following clues are given about a bucket of bubble gum.

scZoUnD [109]

There were 472 pieces of bubble gum in the bucket

Step-by-step explanation:

The following clues are given about a bucket of bubble gum

1. There are between 400 - 500 pieces of gum in the bucket

2. The bubble gum was purchased in 4 equally-sized bags

3. The product of all the digits is 56

Let us explain how to solve the problem

∵ The number of the pieces of gum is between 400 and 500

∴ The number of pieces is 3-digit number and its hundred digit is 4

∵ The product of all digits is 56

∵ One of the digit is 4

∵ 56 ÷ 4 = 14

∴ The product of the ten digit and the one digit is 14

∵ 14 = 2 × 7

∴ The ten digit and the one digit are 2 and 7 or 7 and 2

- If the ten digit is 2 and the one digit is 7

∴ The number of pieces is 427

∵ The bubble gum was purchased in 4 equally-sized bags

- That means there were 4 pieces of bubble gum in each bag

∴ The number of pieces must divisible by 4

- The number is divisible by 4 if it is an even number and the number

formed from the ten digit and one digit is divisible by 4

∵ 427 is an odd number

∴ 427 not divisible by 4

- If the ten digit is 7 and the one digit is 2

∴ The number of pieces is 472

∵ 472 is an even number

∵ 72 divisible by 4

∴ 472 is divisible by 4

∴ There are 472 pieces of gum in the bucket

There were 472 pieces of bubble gum in the bucket

Learn more:

You can learn more about digits in brainly.com/question/547255

#LearnwithBrainly

7 0

4 years ago