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goldenfox [79]
4 years ago
15

(84)5 (73)9= helppppp me pls

Mathematics
2 answers:
dmitriy555 [2]4 years ago
7 0
The answer would be 1077. You just multiply both products and then add them together.
SashulF [63]4 years ago
6 0
(84)5 = 420
(73)9 = 657
420 + 657 = 1077
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schepotkina [342]

V = 864\pi

Step-by-step explanation:

Since one of the boundaries is y = 0, we need to find the roots of the function f(x)=-2x^2+6x+36. Using the quadratic equation, we get

x = \dfrac{-6 \pm \sqrt{36 - (4)(-2)(36)}}{-4}= -3,\:6

But since the region is also bounded by x = 0, that means that our limits of integration are from x=0 (instead of -3) to x=6.

Now let's find the volume using the cylindrical shells method. The volume of rotation of the region is given by

\displaystyle V = \int f(x)2\pi xdx

\:\:\:\:\:\:\:= \displaystyle \int_0^6 (-2x^2+6x+36)(2 \pi x)dx

\:\:\:\:\:\:\:= \displaystyle 2\pi \int_0^6 (-2x^3+6x^2+36x)dx

\:\:\:\:\:\:\:= \displaystyle 2\pi \left(-\frac{1}{2}x^4+2x^3+18x^2 \right)_0^6

\:\:\:\:\:\:\:= 864\pi

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4 years ago
What are all natural number factors of 130
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The smallest angle of rotational symmetry for a regular polygon is 30°. How many sides does the regular polygon have?
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Read 2 more answers
If a girl in a bikini has walked 4 KM in 10 minutes, How many kilometers does she walk in 3 years?
Mashutka [201]

Answer:

631139.04 kilometers in 3 years

Step-by-step explanation:

Let x = how many kilometers she walk

y = time (minutes)

Since she walks 4km in 10 minutes.

x = 4, y = 10

(4,10)

But how many minutes if she walk only a kilometer? Divide x and y by 4.

(1,2.5)

She walks a kilometer under 2.5 minutes.

Now finding rate of changes.

\displaystyle \large{m =  \frac{10 - 2.5}{4 - 1} } \\  \displaystyle \large{m =  \frac{7.5}{3} } \\ \displaystyle \large{m =  2.5}

Since m = 2.5

and of course, the function should be proportional so the equation should be y = mx.

\displaystyle \large{y = 2.5x }

Since time should be minutes instead of years.

Since 3 years = 1577847.6 minutes

\displaystyle \large{1577847.6 = 2.5x}

Divide both sides by 2.5

\displaystyle \large{ \frac{1577847.6}{2.5} = x} \\ \displaystyle \large{631139.04 = x }

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3 years ago
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