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lutik1710 [3]
2 years ago
13

The city planning committee is discussing making a bike path extension in its city park. They have a $5050 budget for the propos

ed project. The cost to construct the path is $2.20 per foot. The path would be a straight line from the fountain to the large oak tree. In the right triangle formed, the height is 880 ft and the base is 2112 ft. How much will the path cost? Will this work with the city planning budget?
Mathematics
1 answer:
Sphinxa [80]2 years ago
5 0
$4646.40  +   $1936 To find the answer add these numbers
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X+4 divided by x^2+16<br><br> Why can't it be simplified?
KonstantinChe [14]
Let's try to simplify x^2 + 16. It's a sum of two squares:

x^2 + 16 = 0

x^2 = -16

The problem is, we can't take a square root of a negative. This is where imaginary numbers come in.

Remember that square roots have a plus or minus symbol outside:

±√-16 = ±4i

Our two roots are 4i and -4i. Therefore, the trinomial simplifies to:

(x + 4i)(x - 4i)

If we attempt to divide x + 4 by these two binomials, we will find that 4 and 4i are not like terms. Therefore, we can't simplify this expression.
8 0
2 years ago
Suppose that news spreads through a city of fixed size of 700000 people at a time rate proportional to the number of people who
Gnoma [55]

Answer:

y'(t) = k(700,000-y(t))  k>0 is the constant of proportionality

y(0) =0

Step-by-step explanation:

(a.) Formulate a differential equation and initial condition for y(t) = the number of people who have heard the news t days after it has happened.

If we suppose that news spreads through a city of fixed size of 700,000 people at a time rate proportional to the number of people who have not heard the news that means  

<em>dy/dt = k(700,000-y(t)) </em>where k is some constant of proportionality.

Since no one has heard the news at first, we have

<em>y(0) = 0 (initial condition) </em>

We can then state the initial value problem as

y'(t) = k(700,000-y(t))

y(0) =0

8 0
3 years ago
The total cost of owning a home for 6 years is $120,000. The
Agata [3.3K]

After 6 years, the difference between owning the house and renting is $12,000.

<h3>What is the difference in owing and renting the house?</h3>

The first step is to determine the total cost of renting the house for six years.

Total cost of renting the house = rent per month x number of years x number of months in a year

1500 x 12 x 6 = $108,000

Difference = cost of owning - cost of renting

$120,000 - $108,000  = $12,000

To learn more about subtraction, please check: brainly.com/question/854115

#SPJ1

6 0
2 years ago
Which of the following is fartherest to the left on a number line 1/5, (0.1)to second power, 0.02
Alexxx [7]
1/5 is .2
.1^2 is .01
.02 is .02

So the furthest left  would be the smallest number, which in this case is 0.1^2
5 0
3 years ago
Figure ABCD is a parallelogram.
bogdanovich [222]
A = C (congruent angles)

Then: 4p+12 = 36

Solve for p

4p = 36 - 12

4p = 24

4p/4 = 24/4

p = 6

Answer is going to be A.
6 0
3 years ago
Read 2 more answers
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