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Ksenya-84 [330]
2 years ago
9

Find the product of 2x^4(3x^2 + 4x + 1)

Mathematics
1 answer:
lozanna [386]2 years ago
8 0

Answer:

2 {x}^{4} (3 {x}^{2}  + 4x + 1) \\=6{x}^{(4+2)}+8{x}^{(4+1)}+2{x}^{(4+0)}\\ =  \boxed{6 {x}^{6}  + 8 {x}^{5}  + 2 {x}^{4} }

<h3><u>6x⁶+8x⁵+2x⁴</u> is the right answer.</h3>
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Answer:

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Step-by-step explanation:

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The radius of a sphere is increasing at a rate of 2 mm/s. How fast is the volume increasing when the diameter is 80 mm? Evaluate
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Read 2 more answers
A ball is thrown downward from a cliff. Its position at time t seconds is given by the formula s(t) = 16t2 + 32t, where s is in
Rom4ik [11]

Answer:

It takes 2.8 seconds for the ball to fall 215 ft.

Step-by-step explanation:

We are given a position function s(t) where s stands for the number of feet the ball has fallen, so we have to replace s with the given value of 215 ft and solve for the time t.

Setting up the equation.

The motion equation is given by

s(t) =16t^2+32t

We can replace there s = 215 ft to get

215=16t^2+32t

Solving for the time t.

From the previous equation we can move all terms in one side to get

16t^2+32t-215=0

At this point we can solve for t using quadratic formula.

t = \cfrac{-b\pm \sqrt{b^2-4ac}}{2a}

where a, b and c are the coefficients of the quadratic equation

at^2+bt+c=0

So we get

a=16\\b=32\\c=-215

Replacing on the quadratic formula we get

t = \cfrac{-32\pm \sqrt{32^2-4(16)(-215)}}{2(16)}

Using a calculator we get

t=-4.8 , t = 2.8

Physically speaking the only result that makes sense is to move forward in time that give us t = 2.8 seconds.

We can conclude that it takes 2.8 seconds for the ball to fall 215 ft.

3 0
3 years ago
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