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2 years ago

What is the Density

Mathematics

1 answer:

DENIUS [597]2 years ago

3 0

Answer:

for question 4 the asnwer is 1.7

for question 6 the answer is 2

Explanation:

The volume of 4 is 18 length × width × height so 3 × 3 × 2 = 18

The mass 32kg divided by the volume 18 = 1.777777778

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The volume of 6 is 90 length × width × height so 10 × 3 × 3 = 90

The mass 180kg divided by the volume 90 = 2

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Hope it helps, if you have any question comment down!

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Brrunno [24]

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2 years ago

A factory makes 1200 shirts every 6 hours.the factory makes shirts for 9 hours a workday. what is the fewest number of workdays

Dominik [7]

1. Divide the target number of shirts, 12,600 by the company's rate of making the shirts. That is,
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2 years ago

Which expression is equivalent to 11 - (-3 5/8) ?

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11 - (-3 5/8)

-negative sign and -negative sign= +positive sign

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answer:

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2 years ago

Find 10 partial sums of the series. (round your answers to five decimal places.) ∞ 15 (−4)n n = 1

nikklg [1K]

Given

$\Sigma_{n=1}^\infty15(-4)^n$

The first 10 partial sums are as follows:

$S_1=\Sigma_{n=1}^{1}15(-4)^n=15(-4)=\bold{-60} \\ \\ S_2=\Sigma_{n=1}^{2}15(-4)^n=\Sigma_{n=1}^{1}15(-4)^n+15(-4)^2 \\ =-60+15(16)=-60+240=\bold{180} \\ \\ S_3=\Sigma_{n=1}^{3}15(-4)^n=\Sigma_{n=1}^{2}15(-4)^n+15(-4)^3 \\ =180+15(-64)=180-960=\bold{-780} \\ \\ S_4=\Sigma_{n=1}^{4}15(-4)^n=\Sigma_{n=1}^{3}15(-4)^n+15(-4)^4 \\ =-780+15(256)=-780+3,840=\bold{3,060} \\ \\ S_5=\Sigma_{n=1}^{5}15(-4)^n=\Sigma_{n=1}^{4}15(-4)^n+15(-4)^5 \\ =3,060+15(-1,024)=3,060-15,360=\bold{-12,300}$

$S_6=\Sigma_{n=1}^{6}15(-4)^n=\Sigma_{n=1}^{5}15(-4)^n+15(-4)^6 \\ =-12,300+15(4,096)=-12,300+61,440=\bold{49,140}$

The rest of the partial sums can be obtained in similar way.

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3 years ago