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miskamm [114]
3 years ago
11

Haily walked 15 miles in 9 hours. What was her walking rate in miles per hour? Express your answer in simplest form

Mathematics
2 answers:
SVEN [57.7K]3 years ago
7 0

Answer: 1 2/3 miles

Step-by-step explanation:

Hsiky walked 15 miles in 9 hours.

For 1 hour, Haily will walk, (15/9) miles which gives 1 6/9 miles. Reducing it to lowest term equals 1 2/3 miles

Pachacha [2.7K]3 years ago
6 0

Answer:

1.67

Step-by-step explanation:

you should do 15 ÷ 9 and you get 1.6666666667 and when you simplify that you get 1.67

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The degree of the product is the ____ of the degrees of the factors
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A cable hangs between two poles of equal height and 35 feet apart. At a point on the ground directly under the cable and x feet
gayaneshka [121]

Answer:

293.38 pounds

Step-by-step explanation:

We are given that

Distance between poles=35 feet

h(x)=10+0.1(x^{1.5})

Weight of cable=10.4 per linear foot

We have to find the weight of the cable.

Differentiate w.r.t

h'(x)=0.1(1.5)x^{0.5}=0.15x^{0.5}

s=2\int_{0}^{17.5}\sqrt{1+(h'(x))^2}dx

s=2\int_{0}^{17.5}\sqrt{1+(0.15x^{0.5})^2}dx

s=2\int_{0}^{17.5}\sqrt{1+0.0225x}dx

Let 1+0.0225x=t

dx=\frac{1}{0.0225}dt

s=\frac{2}{0.0225}\int_{0}^{17.5}\sqrt{t}dt

s=\frac{2}{0.0225}\times\frac{2}{3}[t^{\frac{3}{2}}]^{17.5}_{0}

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s=\frac{4}{3\times 0.0225}((1+0.0225(17.5))^{\frac{3}{2}-1)

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Weight of cable=28.21\times 10.4=293.38pound

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3 years ago
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