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3 years ago

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A family of three children and two adults visited a health club. The club charges $y an hour for each child and $x an hour for e

ach adult. If the family does not want to spend more than $39 an hour at the health club, which of the following graphs best models the situation

1 answer:

nirvana33 [79]3 years ago

8 0

Equation would be 3y+2x=39.

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Hi! I need help with the attached question in calc. Thank you:)

Elena L [17]

Answer:

3π square units.

Step-by-step explanation:

We can use the disk method.

Since we are revolving around AB, we have a vertical axis of revolution.

So, our representative rectangle will be horizontal.

R₁ is bounded by y = 9x.

So, x = y/9.

Our radius since our axis is AB will be 1 - x or 1 - y/9.

And we are integrating from y = 0 to y = 9.

By the disk method (for a vertical axis of revolution):

$\displaystyle V=\pi \int_a^b [R(y)]^2\, dy$

So:

$\displaystyle V=\pi\int_0^9\Big(1-\frac{y}{9}\Big)^2\, dy$

Simplify:

$\displaystyle V=\pi\int_0^9(1-\frac{2y}{9}+\frac{y^2}{81})\, dy$

Integrate:

$\displaystyle V=\pi\Big[y-\frac{1}{9}y^2+\frac{1}{243}y^3\Big|_0^9\Big]$

Evaluate (I ignored the 0):

$\displaystyle V=\pi[9-\frac{1}{9}(9)^2+\frac{1}{243}(9^3)]=3\pi$

The volume of the solid is 3π square units.

Note:

You can do this without calculus. Notice that R₁ revolved around AB is simply a right cone with radius 1 and height 9. Then by the volume for a cone formula:

$\displaystyle V=\frac{1}{3}\pi(1)^2(9)=3\pi$

We acquire the exact same answer.

8 0

3 years ago

If I charged 30$a hair cut the whole year how many customers would I need to have to make 17,510$

puteri [66]

Answer:

584

Step-by-step explanation:

17510 divided by 30 is 583.66 but you can have part of a person so you round up.

6 0

3 years ago

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there are 14 girls trying out for volleyball. Each team will have six players. How many four teams will be made?

nikdorinn [45]

Answer:

2

Step-by-step explanation:

14 divided by 6 = 2.33333333

only 6 in a group so you round it

and you get 2

3 0

3 years ago

What is the sum of 2x^2 and 2x^3

jeyben [28]

For this case we have the following expression:

$2x ^ 2 + 2x ^ 3$

The terms are not similar, so they cannot be added.

<em>Examples of similar terms:</em>

$x ^ 3 + x ^ 3 = 2x ^ 3\\3x ^ 4 + 2x ^ 4 = 5x ^ 4$

Then, the expression given can only be rewritten as:

$2 (x ^ 2 + x ^ 3)$

This is taking common factor 2 to both terms.

Answer:

$2 (x ^ 2 + x ^ 3)$

7 0

3 years ago

Maria has $11 to buy fish for her aquarium. Each goldfish costs $2. How many goldfish can she buy? Do not include units in your

Semmy [17]

Answer:She can buy 5 goldfish.

Step-by-step explanation: If you divide the amount of money she has to spend by the cost of the goldfish;

$11/5 = 5.5

Since she can’t buy 5 and a half goldfish, she can only buy 5.

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3 years ago

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