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2 years ago

9

alex walked 1 mile in 15 minutes. Sally walked 3520 yards in 24 minutes . in miles per hour , how much faster did sally walk tha

n alex ?

1 answer:

Leni [432]2 years ago

7 0

Answer: Sally walked 3 minutes faster per mile

Hope it helped!

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Find the value of this expression if x = -6.<br> x^2-3/x+3<br> Enter the correct answer.

Amanda [17]

Answer:

$\frac{x^{2}-3}{x+3}=\frac{(-6)^{2}-3}{-6+3}\\\\=\frac{36-3}{-3}=\frac{33}{-3}=-11$

Step-by-step explanation:

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2 years ago

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3 years ago

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2 years ago

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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.

7 0

2 years ago

Can someone help me

rosijanka [135]

Answer:

s = 11

Step-by-step explanation:

Given

$\frac{3}{8}$ = $\frac{s-2}{24}$ ( cross- multiply )

8(s - 2) = 72 ( divide both sides by 8 )

s - 2 = 9 ( add 2 to both sides )

s = 11

7 0

3 years ago