3 years ago

Find the binomial coefficient (8/3)

Mathematics

1 answer:

Vladimir79 [104]3 years ago

8 0

Answer:

the binomial coefficient

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A worker on a scaffolding 75 ft above the ground needs to lift a 500 lb bucket of cement from the ground to a point 30 ft above

Lemur [1.5K]

Answer:

W = 15900 ft.lb

Step-by-step explanation:

From the given information.

Consider y to be the distance from the ground towards the bucket of the cement.

At height y, suppose the bucket is lifted by Δy.

Then, the workdone can be = 500Δy + 0.5(75 - y) Δy

where;

The bucket of the cement = 500Δy

The remaining of the rope = 0.5(75 - y) Δy

However; the workdone (W) can be calculated as:

$W = \int^{30}_{0} \ 500 \ dy + \int^{30}_{0} \ 0.5 (75-y ) \ dy$

$W = 500 \times 30 + 0.5 \bigg(75 \times 30 - \dfrac{1}{2} \times 30^2 \bigg )$

W = 15000 + 0.5 ( 2250 - 450)

W = 15000 + 900

W = 15900 ft.lb

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3 years ago

Find polynomial f(n) such that for all integers n is greater than or equal to 1 we have 3t( 1*2 + 2*3 +...+ n(n+1) ) = f(n). Wri

fomenos

$1\cdot2+2\cdot3+\cdots+(n-1)\cdot n+n\cdot(n+1)=\displaystyle\sum_{k=1}^nk(k+1)=\sum_{k=1}^n(k^2+k)$
$=\dfrac{n(n+1)(2n+1)}6+\dfrac{n(n+1)}2$
$=\dfrac{n(n+1)(2n+1)+3n(n+1)}6$
$=\dfrac{2n^3+6n^2+4n}6$
$=\dfrac13n^3+n^2+\dfrac23n$

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4 years ago

What are the ratios from least to greatest 5:8, 11:16, 18:32

guapka [62]

Answer:

Least: 18:32

Middle: 5:8

Greatest: 11:16

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3 years ago

Find the perimeter of the following figure. x + 13 3x + 2 8 2 X + 5

Alina [70]

Answer:

5x+30

Step-by-step explanation:

simply add each side together:

(x+13)+(3x+2)+8+2+(x+5)

=5x+30

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4 years ago

HELP! 7th grade math! GIVE CORRECT ANSWER AND YOU WILL GET BRAINLIEST!!

vodomira [7]

third answer choice yw if im right

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4 years ago

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