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2 years ago

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The region bounded by the curves y = 2e−1/x, y = 0, x = 1, and x = 5 is rotated about the x-axis. Use Simpson's Rule with n = 8

to estimate the volume of the resulting solid. (Round your answer to one decimal place.)

1 answer:

irina1246 [14]2 years ago

5 0

Answer:

5.4

Step-by-step explanation:

See the attached picture for explanation.

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angle EFG and angle GFH are a linear pair, m angle GFH= 2n+38 and m angle GFH=2n+38. what are m angle EFG and m angle GFH

motikmotik

Answer:

Part 1) m∠EFG=94°

Part 2) m∠GFH=86°

Step-by-step explanation:

we know that

m∠EFG+m∠GFH=180° -----> by linear pair (given problem)

we have

m∠EFG=3n+22

m∠GFH=2n+38

substitute the values

(3n+22)°+(2n+38)°=180°

Solve for n

(5n+60)=180

5n=180-60

5n=120

n=24

<em>Find the measure of angle EFG</em>

m∠EFG=3n+22

substitute the value of n

m∠EFG=3(24)+22=94°

<em>Find the measure of angle GFH</em>

m∠GFH=2n+38

substitute the value of n

m∠GFH=2(24)+38=86°

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2 years ago

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What is the area of the model in the problem?

nata0808 [166]

Answer:

$A=x^2+12x+27\ units^2$

Step-by-step explanation:

we know that

The area of the model is equal to the area of a rectangle

The area of a rectangle is equal to

$A=LW$

we have

$L=x+9\ units$

$W=x+3\ units$

substitute

$A=(x+9)(x+3)$

Apply distributive property

$A=x^2+3x+9x+27$

Combine like terms

$A=x^2+12x+27\ units^2$

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3 years ago

In the situation, simple interest is calculated yearly. How much interest was earned? (Answers above)

Ket [755]

The simple interest formula<span> allows us to calculate I, which is the </span>interest<span> earned or charged on a loan. According to this </span>formula<span>, the amount of </span>interest<span> is given by I = Prt, where P is the principal, r is the annual </span>interest<span> rate in decimal form, and t is the loan period expressed in years.

I = Prt
I = 5500 (8) (0.025) = 1100 <----second option</span>

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2 years ago

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What is the range of this data set? 2.1, 2.6, 7.2, 5.5, 4.1, 5.5, 7.5, 6.1

spin [16.1K]

You have to subtract the largest number from the smallest and you get your range. Which would be 7.5-2.1 equals 5.4 which is b.

4 0

2 years ago

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Emily knows that the area of a rectangle is 54x9y8 square yards and that it’s length 6x3y4 yards. If she divides the area by the

Furkat [3]

Answer:

Width of the rectangle is: $\mathbf{Width= 9x^6 y^4}$

Option C is correct.

Step-by-step explanation:

Area of rectangle = $54x^9y^8$

Length of rectangle = $6x ^ 3y^4$

We need to find width of rectangle.

The formula used is:

$Area\:of\:rectangle=Length\times Width\\Width=\frac{Area\:of\:rectangle}{Length}$

Putting values in the formula to find Width of rectangle

$Width=\frac{Area\:of\:rectangle}{Length}\\Width=\frac{54x^9y^8}{6x^ 3y^4}$

Using the exponent rule: $\frac{a^m}{a^n}=a^{m-n}$

and simplifying the terms we get

$Width=\frac{54x^9y^8}{6x^3y^4}\\Width=9x^{9-3} \: y^{8-4}\\Width=9x^6 y^{4}$

So, Width of the rectangle is: $\mathbf{Width= 9x^6 y^4}$

Option C is correct.

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2 years ago