Gary can paint a garage in 8 hours. Gary van do it in 6 hours. How long will it take if they all paint together?

Answer:

C

Step-by-step explanation:

We want to integrate:

[tex]\displaystyle \int\frac{4x^4+3}{4x^5+15x+2}\,dx[/tex]

Notice that the expression in the denominator is quite similar to the expression in the numerator. So, we can try performing u-substitution. Let u be the function in the denominator. So:

[tex]u=4x^5+15x+2[/tex]

By differentiating both sides with respect to x:

[tex]\displaystyle \frac{du}{dx}=20x^4+15[/tex]

We can "multiply" both sides by dx:

[tex]du=20x^4+15\,dx[/tex]

And divide both sides by 5:

[tex]\displaystyle \frac{1}{5}\, du=4x^4+3\,dx[/tex]

Rewriting our original integral yields:

[tex]\displaystyle \int \frac{1}{4x^5+15x+2}(4x^4+3\, dx)[/tex]

Substitute:

[tex]\displaystyle =\int \frac{1}{u}\Big(\frac{1}{5} \, du\Big)[/tex]

Simplify:

[tex]\displaystyle =\frac{1}{5}\int \frac{1}{u}\, du[/tex]

This is a common integral:

[tex]\displaystyle =\frac{1}{5}\ln|u|[/tex]

Back-substitute. Of course, we need the constant of integration:

[tex]\displaystyle =\frac{1}{5}\ln|4x^5+15x+2|+C[/tex]

Our answer is C.

Step-by-step explanation: this one is for zack!!!!!!!!!

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Answer: 5/33

Explanation:

5/12 x 4/11 =5/33

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

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Answer:

11.2127659574

Step-by-step explanation:

Answer:

$11.21 per hour.

Step-by-step explanation:

Divide the pay by the hours worked and round to the nearest tenth.

527/ 47 = 11.21276596 then round to 11.21

Answer:

5⁰ × 7⁰ × 3⁰ = 1

Step-by-step explanation:

5⁰ × 7⁰ × 3⁰ = ?

5⁰ = 1

7⁰ = 1

3⁰ = 1

1 × 1 × 1 = 1

Answer:

It is correct

Step-by-step explanation:

Gr8 job

Answer:

26mm

Step-by-step explanation:

by the Pythagorean theorem,

[tex]x^2=10^2+24^2\\x^2=676\\x=26[/tex]

Answer:

0.0228 = 2.28% probability that a randomly selected firm will earn more than Arc did last year

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Suppose the mean income of firms in the same industry as Arc for a year is 45 million dollars with a standard deviation of 7 million dollars

This means that [tex]\mu = 45, \sigma = 7[/tex]

What is the probability that a randomly selected firm will earn more than Arc did last year?

Arc earned 59 million, so this is 1 subtracted by the pvalue of Z when X = 59.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{59 - 45}{7}[/tex]

[tex]Z = 2[/tex]

[tex]Z = 2[/tex] has a pvalue of 0.9772

1 - 0.9772 = 0.0228

0.0228 = 2.28% probability that a randomly selected firm will earn more than Arc did last year

Answer:

12π un^3

Step-by-step explanation:

Use the fomula: V= πr2 h

The radius is 2 and the height is 3.

I really don't know how to explain this but I can try, with a self- explanatory steps including the formula .

The work is in the screen shot goodluck.

Hope this helped!

Stay Safe!

Answer:

1

Step-by-step explanation:

every single thing to the power of 0 is 1

Answer:

0

Step-by-step explanation:

Answer: 12?

Step-by-step explanation:

C is the answer i just did this answer and get it correct

Answer:

C)  constant

Step-by-step explanation:

it would be a constant ! you can remember this by thinking of the meaning of the word constant; consistent. it does not change, constantly. i hope that helped some :)

Step-by-step explanation:

a triangle is the area of 2

Answer:

54.85 un²

Step-by-step explanation:

Calculate the square and the circle and add them together.

[tex]2\pi[/tex]r

radius = 3

[tex]2\pi[/tex]3

Circumference = [tex]2\pi[/tex]r = 2 × [tex]\pi[/tex] × 3 = 18.84956

18.84956 rounds to 18.85

The circle's area is 18.85 un².

The square is 6 by 6.

6 × 6 = 36

The square's area is 36 un².

18.85 un² + 36 un² = 54.85 un²

the answer for that should be C

Answer:

I think its c

Step-by-step explanation:

4 is the initial cost and 55 is the amount per ticket

The formula for the area parallelogram is the same as rectangle.

[tex]\frac{14*10}{2}[/tex][tex]=70[/tex]

So everything you have now is right so far:

[tex]\cos(24) = \frac{z}{118}[/tex]

Multiply 118 to the left side to isolate z

[tex]118\cdot\cos(24) = z[/tex]

z = 50.05

Hope this helps

Answer:

Step-by-step explanation:

3.

area of one triangular face = ½×16×30 = 240 in²

area of base = 30×9 = 270 in²

area of diagonal face = 34×9 = 306 in²

area of vertical face = 16×9 = 144 in²

surface area = 2×240 + 270 + 306 + 144 = 1,200 in²

volume = 240×9 = 2,160 in³

:::::

4.

area of one triangular face = ½×10×10.5 = 52.5 ft²

area of base = 10.5×6 = 270 ft²

area of diagonal face = 14.5×6 = 87 ft²

area of vertical face = 10×6 = 60 ft²

surface area = 522 ft²

volume = 52.5×6 = 315 ft³

NOT NECESSARILY would a triangle be equilateral if one of its angles is 60 degrees. To be an equilateral triangle (a triangle in which all 3 sides have the same length), all 3 angles of the triangle would have to be 60°-angles; however, the triangle could be a 30°-60°-90° right triangle in which the side opposite the 30 degree angle is one-half as long as the hypotenuse, and the length of the side opposite the 60 degree angle is √3/2 as long as the hypotenuse. Another of possibly many examples would be a triangle with angles of 60°, 40°, and 80° which has opposite sides of lengths 2, 1.4845 (rounded to 4 decimal places), and 2.2743 (rounded to 4 decimal places), respectively, the last two of which were determined by using the Law of Sines: "In any triangle ABC, having sides of length a, b, and c, the following relationships are true: a/sin A = b/sin B = c/sin C."¹

Answer:

m√n+2n-n√m

Step-by-step explanation:

4√n^2+√m^2n-√4n^2-√mn^2

m√n+2n-n√m

Answer:

increasing sequence of +7

Step-by-step explanation:

please mark brainiest

please give 5 stars

thank you

Answer:

Undefined or no values (assuming no negative zero)

Step-by-step explanation:

The absolute value of a number (a) keeps/turns it positive. A positive number can never be equal to a negative number.

Answer: 7^5 or 7 to the fifth power.

Step-by-step explanation: This is an exponent meaning you count the 7’s and in the first picture there’s 5 7’s. This means that the number your putting to a power is the yellow box so that’s 7 and the exponent is 5 not 4 because if you did 7 to the first power it’s still 7 so it would be 7 to the 5th power or 7^5

Answer: 30  i took a test with that question

Step-by-step explanation: