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3 years ago

17 pt is greater than, or less than 4 gal

Mathematics

1 answer:

Varvara68 [4.7K]3 years ago

6 0

17pt < 4 gal I hope this helped ^^

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Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about the

insens350 [35]

Answer:

So, the volume V is

$V=\frac{14\pi}{3}$

Step-by-step explanation:

We have that:

$y=7x\\\\y=0\\\\x=1\\\\x=-4\\$

We have the formula:

$V=2\pi\int_a^b x(g(x)-f(x))\, dx\\\\g(x)>f(x).$

We calculate the volume V, we get

$V=2\pi\int_a^b x(g(x)-f(x))\, dx\\\\V=2\pi\int_0^1 x(7x-0)\, dx\\\\V=2\pi\int_0^1 7x^2\, dx\\\\V=2\pi\cdot 7\left[\frac{x^3}{3}\right]_0^1\\\\V=14\pi\left(\frac{1}{3}-\frac{0}{3}\right)\\\\V=\frac{14\pi}{3}$

So, the volume V is

$V=\frac{14\pi}{3}$

We use software to draw the graph.

6 0

3 years ago

Five kites were flying in the sky. Each kite was flying at a different level. The red kite was flying higher than the green one.

Levart [38]

First would be the red kite then the purple,green,yellow, and lastly the blue kite.

7 0

3 years ago

Read 2 more answers

Sarah Liskow was the top scorer in a women's professional basketball league for the 2006 regular season, with a total of 810 p

weeeeeb [17]

Answer:

150 one point throws, 165 two points throws and 110 three points throws

Step-by-step explanation:

Let x be the number of free (one point) throws.

The number of free throws Sarah made was 15 less than the number of two-point field goals she made. If y is the number of two points throws, then

$x=y-15$

so the number of two points throws $=x+15$

The number of two-point field goals that Sarah made was 55 less than double the number of three-point field goals she made. If z is the number of three points throws, then

$y=2z-55\\ \\2z=y+55\\ \\2z=x+15+55\\ \\2z=x+70\\ \\z=\dfrac{1}{2}x+35$

so the number of three points throws $=\dfrac{1}{2}x+35$

The total score is 810 points, so

$x\cdot 1+(x+15)\cdot 2+\left(\dfrac{1}{2}x+35\right)\cdot 3=810\\ \\x+2x+30+1.5x+105=810\\ \\4.5x=810-30-105\\ \\4.5x=675\\ \\x=150\\ \\x+15=150+15=165\\ \\\dfrac{1}{2}x+35=\dfrac{1}{2}\cdot 150+35=75+35=110$

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4 years ago

Subtract.<br> −1 1/3 − 1/6

Zinaida [17]

1.1666666667 that as all

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4 years ago

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A triangle has sides measuring 7 centimeters and 13 centimeters that form an angle measuring 44°. Which of these is CLOSEST to t

Oliga [24]

Answer:

9.3 centimeters

Step-by-step explanation:

If the length of the third side of the triangle is c, then according to the Law of Cosines, c2 = 72 + 132 – 2(7)(13)(cos 44°). The value of c2 can be simplified to approximately 49 + 169 – 130.9198, or 87.0802, using a calculator. By taking the square root of 87.0802, the length of the third side of the triangle comes out to be approximately 9.3 centimeters.

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3 years ago