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3 years ago

How many cups of raisins will Gina need to make 32 servings of trail mix

Mathematics

1 answer:

kotegsom [21]3 years ago

8 0

16 pints because 1 pint equals 2 cups each so multiply 16 x 2 which equals 32

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Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 8 sin(x

V125BC [204]

Answer with explanation:

The equation of two curves are

y=8 sin x

y=8 cos x

The point of intersection of two curves are

→8 sin x=8 cos x

sinx = cos x

$x=\frac{\pi}{4}\\\\y=8\sin\frac{\pi}{4}\\\\y=4\sqrt{2}$

When you will look between points , 0 and $x=\frac{\pi}{4}\\\\y=8\sin\frac{\pi}{4}\\\\y=4\sqrt{2}$ ,the curve obtained is right angled triangle.

Now, rotate the curve that is right angled triangle along the line , y= -1, to obtain a shape similar or resembling with Right triangular prism.

Draw a circular disc in the right triangular prism , having radius =x,and small part on the triangle having length dx.dx varies from 0 to $\frac{\pi}{4}$ .

Required volume of solid obtained

$=\int\limits^{\frac{\pi}{4}}_0 {8 \sin x} \, dx \\\\=|-8\cos x|\left \{ {{x=\frac{\pi}{4}}} \atop {x=0}} \right.\\\\=8-4\sqrt{2}$

=8-4√2 cubic units

5 0

3 years ago

Can someone help me pelase?? 20

Reil [10]

Answer:

$y=2x-2$

Step-by-step explanation:

Because the coordinates for x = 0 is (0,-2) so that's your y- intercept.

Then if you all you have to do is make sure that you have the correct slope.

So i just made a table on paper and started going up and seeing what slope i'd need to match the table on the screen.

$2(0)-2=-2\\2(1)-2=0\\2(2)-2=2\\2(3)-2=4$

4 0

3 years ago

Olivia has $150 in her savings account. She will save and deposit $40 each week. What inequality show how many weeks it will tak

taurus [48]

Answer:

40x+150>=400 i think

Step-by-step explanation:

40x+150>=400

40x>=250

x=6.25

7 0

3 years ago

A= 5,000 (1+.002*10)

Aneli [31]

I think The answer is 5100

3 0

2 years ago

Which is the best estimate of the product of the fractions? StartFraction 4 Over 7 EndFraction times StartFraction 8 Over 9 EndF

Lapatulllka [165]

Answer:

Product = $\dfrac{64}{135}$

Step-by-step explanation:

The expression is as follows :

$\dfrac{4}{7}\times \dfrac{8}{9}\times \dfrac{14}{15}$

We need to find the product of the above expression

As 7 × 2 = 14

So, it will become :

$4\times \dfrac{8}{9}\times \dfrac{2}{15}\\\\=\dfrac{4\times 8\times 2}{9\times 15}\\\\=\dfrac{64}{135}$

So, the product of the given fractions is $\dfrac{64}{135}$ .

8 0

2 years ago