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3 years ago

Emily made 75% of the baskets she attempted. If she attempted 12

Mathematics

1 answer:

sineoko [7]3 years ago

8 0

The answer is 9 shots

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Solve the equation V - E + F = 2 for E

Anettt [7]

V + f − e = 2
Add -2+e to both sides. 

v + f − e -2+e = 2 -2+e 
On simplification, we get 
v + f − 2 = e 

Yes, that is the solution for e.

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3 years ago

In a survey of students about favorite sports, the results include 22 who like

Vera_Pavlovna [14]

1) Venn Diagram is used to organize data
2) Four circles. Three intersection circles, and one which contains other three circles
3) In the intersection area of three circles.
4) In the circle which contains other three circles, but not inside any of the intersecting circles.

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3 years ago

Write an expression to show k less than 3.5

Natalija [7]

Answer: k < 3.5
explanation: < means less than and > means more than and = means equal to so k < (less than) 3.5

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3 years ago

Jennifer and Julio each improved their yards by planting rose bushes and geraniums. They bought their supplies from the same sto

Maksim231197 [3]

The answer is $9, $5

8 0

3 years ago

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.

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3 years ago