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3 years ago

PLEASE HELP ME I DONT WANT TO FAIL

Mathematics

1 answer:

Ksenya-84 [330]3 years ago

6 0

Answer:

294

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= $28.21\times 10.4=293.38$ pound

8 0

3 years ago

All currently has $25. He is going to start saving $5 every week

sergij07 [2.7K]

Answer:

I believe the answer is b

Step-by-step explanation: I think the answer is b because he gets $5 every week and he already has $25 the only thing we dont know is the weeks and you multiply 5 by the weeks so, 5(how much he gets each week) times x (The amount of weeks) plus 25(the amount he already has) equals y(the amount of everything put together)

5 0

3 years ago

Suppose a farm has pens for raising insects. A pen is shaped as a rectangle that measures x meters wide and 2x meters long and h

Ludmilka [50]

Answer:

1.2 meters.

Step-by-step explanation:

Length of pen = 2x meters

width of pen = x meters

shape of pen is rectangular

we know that area of rectangle is given by length * width

Thus, area of the pen is x*2x = $2x^2$

It is also given that area of pen is 2.8 square meters.

Equating numerical value of area with area in terms of x, we have

$2x^2 = 2.88\\=> x^2 = 2.88/2\\=> x^2 = 1.44\\=> x = 1.2$

Thus value of x is 1.2 meters.

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3 years ago

Which herbal remedy would most likely be used to treat a sunburn?

tangare [24]

You are correct aloe vera is the answer as it has cooling properties <span />

6 0

3 years ago

Which is the graph of f(x) = StartRoot x EndRoot?

Bingel [31]

The equation of the graph of $f(x) = \sqrt x$ is (d) on a coordinate plane, an absolute value graph starts at (0, 0) and goes up through (4, 2).

The equation of the graph is represented as:

$f(x) = \sqrt x$

See attachment for the graph of $f(x) = \sqrt x$

From the attached graph, the curve passes through points (0,0) and (4,2).

Hence, the equation of the graph of $f(x) = \sqrt x$ is (d)

Read more about graphs and functions at:

brainly.com/question/3939432

8 0

3 years ago

Read 2 more answers