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3 years ago

Help pls!!!!!!!!!!!!!!!!!!!

Mathematics

1 answer:

skad [1K]3 years ago

8 0

The denominator factors to (x+1)(x-1), so the function reduces to
h(x) = (x+1)/(x-1)
This has a vertical asymptote at x=1, where the denominator is zero. It has a horizontal asymptote at y = x/x = 1. The appropriate choice is
c. x=1, y=1

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A cylinder has a volume of 320 pi cu. in. and a height of 5". Find the radius of the cylinder.

crimeas [40]

Answer:

The radius of cylinder is 8 inches.

Step-by-step explanation:

We have given,

Volume of cylinder = 320π cubic inches

Height of cylinder = 5 inches

We know, Formula for volume of cylinder as : V =πr²h

where r is radius of cylinder and h is the height of cylinder.

So, We can plug values for V and h to get radius of cylinder.

i.e V = πr²h

320π = πr²* 5

Solving for r.

We get,

320 = r² * 5

320/5 = r²

64 = r²

or r = ±8 , Since radius of cylinder can not a negative number so we neglect -8.

Hence the radius of cylinder is 8 inches.

3 0

3 years ago

6. Parker, Inc. used Excel to run a least-squares regression analysis, which resulted in the following output: Regression Statis

aleksley [76]

Answer:

"34,814" is the correct solution.

Step-by-step explanation:

The given values are:

Intercept coefficient,

$\beta_0 = 23,859$

Production coefficient,

$\beta_1 = 3.13$

Units sold,

x = 3,500

Now,

The total cost will be:

⇒ $\bar{y}=\beta_0+\beta_1 x$

On substituting the estimated values, we get

⇒ $=23,859+3.13\times 3,500$

⇒ $=23,859+10,955$

⇒ $=34,814$

4 0

3 years ago

4 nail polishes for $8.50 as a rate

Taya2010 [7]

Answer:

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Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Ms. Merry spent a total of $33.42 to buy 6 books. Each book was the same price. Which expression should be used to estimate the

AleksandrR [38]

Answer:

33.42 divided by 6?

Step-by-step explanation:

7 0

3 years ago

The polynomial -x^3-x^2+12x represents the volume of a rectangular aquatic tank in Cubic feet. The length of the tank is (x+4).

Sliva [168]

Answer:

A. x(x +4)(3 -x) . . . . a cubic will have 3 linear factors

B. The dimensions are x, x+4, 3 -x, or 1.694 ft, 5.694 ft, 1.306 ft

C. x = (√37 -1)/3 ≈ 1.694254 ft

D. Maximum volume: ≈ 12.597 ft³

Step-by-step explanation:

A. The first attachment shows the synthetic division of the given polynomial by x+4. The result is -x^2 +3x = x(3 -x). Hence the factored polynomial is ...

x(3-x)(x+4) . . . . . . shown as positive

Since the polynomial is a cubic, we know there will be 3 roots. For this problem, that means we expect 3 factors.

B. We are apparently to assume that the dimensions of the tank correspond to the three factors:

For the maximum size tank (see part C), the corresponding measurements in feet are

1.694 ft
1.306 ft
5.694 ft

C. Tank volume will be maximized when the derivative of volume with respect to x is zero. The derivative polynomial is ...

dV/dx = -3x^2 -2x +12

Solving this by the usual methods, we find the positive value of x to be ...

x = (-1 +√37)/3 ≈ 1.694254 . . . . feet

D. Evaluating the polynomial for this value of x gives ...

volume ≈ 12.5972 . . . cubic feet

6 0

3 years ago