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4 years ago

6

Use the shell method to find the volume of the solid generated by revolving the regions bounded by the curves and lines about th

e y-axis.
y = x^2, y = 10 - 9x, x = 0, for x ≥ 0

1 answer:

I am Lyosha [343]4 years ago

7 0

Answer:

<h2>it is 6 because it's hard to explain but all I know it's 6</h2>

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Students in a cooking class made 4 1/2 quarts of soup. They served 4/5 of the soup to friends. Each serving is 3/5 quart. Hector

denpristay [2]

Answer:

The correct number of servings = 6.

By saying there were $3\frac{3}{5}$ servings of soup, Hector must have intended to say that there were $3\frac{3}{5}$ quarts of soup for serving.

Step-by-step explanation:

Given:

Total quarts of soup made by students = $4\frac{1}{2}$

Fraction of the soup served to friends = $\frac{4}{5}$

Each serving = $\frac{3}{5}$ quarts

Hector incorrectly says that that there were $3\frac{3}{5}$ servings of soup.

To find the correct number of servings and to identify Hector's mistake.

Solution:

Total quarts of soup made = $4\frac{1}{2}=\frac{9}{2}$

Fraction of total quarts served = $\frac{4}{5}$

Thus, total quarts of soup served = $\frac{9}{2}\times \frac{4}{5}$

⇒ $\frac{18}{5}=3\frac{3}{5}$

Thus, total quarts of soup for serving = $\frac{18}{5}$ or $3\frac{3}{5}$

Each serving = $\frac{3}{5}$ quarts

Total number of servings can be given as:

⇒ $\frac{Total\ quarts\ of\ serving}{Size\ of\ each\ serving}$

⇒ $\dfrac{\frac{18}{5}}{\frac{3}{5}}$

To divide fractions, we take reciprocal of the divisor and replace divsion with multiplication.

⇒ $\frac{18}{5}\times \frac{5}{3}$

⇒ $\frac{18}{3}$

⇒ 6 servings

Thus, the correct number of servings = 6.

By saying there were $3\frac{3}{5}$ servings of soup, Hector must have intended to say that there were $3\frac{3}{5}$ quarts of soup for serving.

5 0

3 years ago

A. How far is the spot on the beach from the parking lot?

Afina-wow [57]

The altitude of the right triangle is the geometric mean of the 2 parts of the side it separates.

a. The answer would be sqrt(18*32)=24

The question to the second question can be answered by using the Pythagorean theorem.

32^2+24^2=1600=40^2

b. The answer would be sqrt40^2=40

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3 years ago

Nth term of -7 -12 -17 -22

storchak [24]

Answer:

(n x -5) - 2

Step-by-step explanation:

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3 years ago

A bus travels 20km in 30 minutes. what is the average speed of the bus?

larisa [96]

Answer: 40km/h

Step-by-step explanation:

distance = 20km

time = 30 min conver to hours. $30min(\frac{1h}{60min})=0.5h$

velocity = ?

$d=v*t\\v=\frac{d}{t}$

$v=\frac{20}{0.5} \\v=40km/h$

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3 years ago

Stefan is measuring the angles of a triangle. He measures the first angle and gets a measure of 80° What does he know about the

zlopas [31]

The answer would be B, since the other two just have to equal 100.

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4 years ago

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