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2 years ago

74. Real-World Applications

Mathematics

1 answer:

Natalija [7]2 years ago

8 0

Answer:

The linear equation modeling the given function is P(t)=1700t+45000.

Step-by-step explanation:

In the question it is given that a town's population has been growing linearly. In 2003, the population was 45000, and the population has been growing by 1700 people each year.

It is required to write an equation P(t), for the population t years after 2003.

To solve this question, substitute the given slope , or change in population in the equation with the initial population . Thus, formulate the equation modeling the given function.

Step 1 of 1

Formulate the equation in the slope-intercept form.

$\begin{aligned}&y=m x+b \\&P(t)=1700 t+45000\end{aligned}$

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URGENT AND SIMPLE question pls:))) You dont have to do all of it, if you could just give me the equation for this problem, that

Mashcka [7]

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3 years ago

An electrician charges a $100 flat fee, plus $75 per hour to work on a house.

jek_recluse [69]

Answer:

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Step-by-step explanation:

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2 years ago

Three security cameras were mounted at the corners of a triangles parking lot. Camera 1 was 110 ft from camera 2, which was 137

Nata [24]

Answer:

<em>Camera 2nd has to cover the maximum angle, i.e. </em> $78.70^\circ$ .

Step-by-step explanation:

Please have a look at the triangular park represented as a triangle $\triangle ABC$ with sides

a = 110 ft

b = 158 ft

c = 137 ft

1st camera is located at point C, 2nd camera at point B and 3rd camera at point A respectively.

We can use law of cosines here, to find out the angles $\angle A, \angle B, \angle C$

As per Law of cosine:

$cos C = \dfrac{a^{2}+b^2-c^2 }{2ab}\\cos B = \dfrac{a^{2}+c^2-b^2 }{2ac}\\cos A = \dfrac{b^{2}+c^2-a^2 }{2bc}$

Putting the values of a,b and c to find out angles $\angle A, \angle B, \angle C$ .

$cos C = \dfrac{110^{2}+158^2-137^2 }{2\times 110 \times 158}\\\Rightarrow cos C = \dfrac{12100+24964-18769 }{24760}\\\Rightarrow cos C =0.526\\\Rightarrow C = 58.24^\circ$

$cos B = \dfrac{110^{2}+137^2-158^2 }{2\times 110 \times 137}\\\Rightarrow cos B = \dfrac{12100+18769 -24964}{30140}\\\Rightarrow cos B = \dfrac{5905}{30140}\\\Rightarrow cos B =0.196\\\Rightarrow B = 78.70^\circ$

$cos A = \dfrac{158^{2}+137^2-110^2 }{2\times 158 \times 137}\\\Rightarrow cos A = \dfrac{24964+18769-12100}{43292}\\\Rightarrow cos A = \dfrac{31633}{43292}\\\Rightarrow cos A = 0.731\\\Rightarrow A = 43.05^\circ$

<em>Camera 2nd has to cover the maximum angle</em>, i.e. $78.70^\circ$ .

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3 years ago

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ziro4ka [17]

Answer:

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Step-by-step explanation:

Use the second equation.

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3 years ago

A shipping crate is shaped like a rectangular prism. It is 5 1/2 feet long by 3 feet wide by 3 feet high. What is the volume of

Andrej [43]

Volume = Length x width x height
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3 years ago