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maxonik [38]
3 years ago
9

3. The cost of the city permits needed to build this building is 150,000 no matter how many floors with

Mathematics
1 answer:
natima [27]3 years ago
4 0

Answer:

P(x) = 150000

Slope = 0

Step-by-step explanation:

Given

Cost = 150000

Solving (a): The cost function:

From the given parameter, it shows that the number of floor has no effect on the floors.

So, represent the floors with x.

The cost function is:

P(x) = 150000

Solving (b): The slope and its interpretation

A function is represented as:

f(x) = b + mx

Where:

m=slope

By comparing: f(x) = b + mx to P(x) = 150000

m = 0

So:

Slope = 0

<em>What it means is that, no matter the number of floors, the cost remains unchanged.</em>

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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
Help me pleaseeee !!
ra1l [238]

Answer:

For x it would be 50 m2

Step-by-step explanation:

8 0
3 years ago
Evaluate the expression of 8x - 20 if x=10
Readme [11.4K]

Answer:

60

Step-by-step explanation:

1. Substitute

8 (10) - 20

2. Multiply

80 - 20

3. Subtract

60

4 0
3 years ago
Can you help me with this?
77julia77 [94]

Answer:

the answer is a


3 0
3 years ago
Read 2 more answers
Please help me out solve it and tell me how you got that answer so I can understand please!
NikAS [45]

The solution for s in the given equation is s = C-nD

The question seems to be incomplete

Here is the complete question:

Solve for s in this equation D= \frac{C-s}{n}   Depreciation.

To solve for s, that means we should make s the subject of the equation

From the given equation,

D= \frac{C-s}{n}

To solve for s, first multiply both sides by n to clear the fraction

We get

n\times D= n \times \frac{C-s}{n}

Then,

nD = C - s

Now, add s to both sides

nD + s= C - s+s

nD+s = C

Then, subtract nD from both sides

nD-nD+s = C-nD

∴ s = C-nD

Hence, the solution for s in the given equation is s = C-nD

Learn more here: brainly.com/question/21406377

6 0
3 years ago
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