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Musya8 [376]
4 years ago
15

Evaluate the following expression. Write your answer in simplest form. *

Mathematics
1 answer:
Marizza181 [45]4 years ago
6 0

Answer:

...

Step-by-step explanation:

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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}

s=2\times \frac{2}{3\times0.0225}[(1+0.0255x)^{\frac{3}{2}]^{17.5}_{0}

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

s=28.21

Weight of cable=28.21\times 10.4=293.38pound

8 0
3 years ago
The transitive property of angle congruence states that if ________ ≅ ∠QRS and ∠QRS ≅ ∠PQR, then ∠XYZ ≅ ∠PQR . A) ∠XQR B) ∠QRS C
djverab [1.8K]

Answer:

The answer is ∠XQR

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
The formula for the volume of a rectangular prism is lwh What would be a interpretation of that in words. I put the products of
borishaifa [10]

Answer:

the formula for a rectangular prism is length* Height* Width

Step-by-step explanation:

8 0
3 years ago
Gianni added 1 3/4 cup of pecans and 1 1/3 cup of walnuts to a recipe. How many cups of nuts did Gianni add to the recipe? I NEE
NikAS [45]
C - 3 1/12

Get a common denominator

3*3 / 4*3 + 1*4 / 3*4

Simplifies into 9/12 + 4/12

Adds to 13/12. 

12 goes into 13 1 time, leaving us with 1 1/12

Add the 1 to the 2 full cups that already existed in the original problem - 3 1/12
5 0
3 years ago
ASAP
Pie

Answer:

36/-4

Step-by-step explanation:

A positive number divided by a negative number will<em> always </em> be negative, and a negative number divided by a positive number will <em>always </em>be negative!

Hope this helps!

6 0
3 years ago
Read 2 more answers
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