4c + 2b3 when<br> b = 5 and c= 1.2

A security fence encloses a rectangular area on one side of a park in a city. three sides of fencing are? used, since the fourth

alexandr1967 [171]

Let x = length of the park
Let y = width of the park

Because the area is 392392 ft², therefore
xy = 392392 (1)
Because three sides of fencing measure 5656 ft, therefore
2x + y = 5656 (2)
That is
y = 5656 - 2x (3)
Substitute (3) into (1).
x(5656 - 2x) = 392392
5656x - 2x² = 392392
2x² -5656x + 392392 = 0
x² - 2828x + 196196 = 0

Solve with the quadratic formula.
x = (1/2)*[2828 +/- √(2828² - 4*196196)]
= 2756.83 or 71.17

Answer:
The possible dimensions are 2756.8 ft and 71.2 ft (nearest tenth)

3 0

3 years ago

The cost to manufacture a product is proportional to the quantity produced, with a cost of $35000 dollars per day when 700 items

ollegr [7]

Solution :

$T_1$ = k.n (cost proportional to quantity)

35000 = k . 700

k = $\frac{35000}{700}$

= 50

So $T_1$ = 50 n

Now $T_2=Pn^2$ (cost proportional to square of n)

$3430= P(700)^2$

3430 = 490000 P

$P = \frac{3430}{490000}$

$P = \frac{7}{1000}$

$T_2=\frac{7}{1000}n^2$

Now, $T_3= 7000$ (fixed)

Therefore,

Total, $T=T_1+T_2+T_3$

$T=50n+\frac{7}{1000}n^2+7000$

$T=0.007n^2+50n+7000$

7 0

3 years ago

Help!!!!!<br> Suppose f(x) = x2. What is the graph of g(x) = f(3x)?

STALIN [3.7K]

Answer:

we conclude that g(x) = 9x² is the result of f(x) vertically stretched by multiplying each of its y-coordinates by 9.

Also, check the attached graph is matched with option B.

Hence, option (B) is the correct graph.

Step-by-step explanation:

Given

f(x) = x²

g(x) = f(3x)

so

g(x) = (3x)² = 9x²

Thus, the graph of g(x) = 9x² is shown below.

From the graph, it is clear that at x = 0, y = 0

So, the y-intercept is at (0, 0).

Clearly

f(x) = x²

g(x) = 9x²

Note that the vertex of the graph also lies at (0, 0), because it is clear that g(x) = 9x² is the result of f(x) vertically stretched by multiplying each of its y-coordinates by 9.

Since 9 > 0, it means g(x) = 9x² is vertically stretched by multiplying each of its y-coordinates by 9.

Therefore, we conclude that g(x) = 9x² is the result of f(x) vertically stretched by multiplying each of its y-coordinates by 9.

Also, check the attached graph is matched with option B.

Hence, option (B) is the correct graph.

7 0

3 years ago

Qwertyuiopasdfghjklzxcvbnm

Marina CMI [18]

Answer:

Ok for your question 1+1. In my calculations, that is 2.

I hoped this helped have a good day :)

8 0

3 years ago

Read 2 more answers

In a certain country, the true probability of a baby being a boy is 0.514. among the next nine randomly selected births in the

Vadim26 [7]

The probability of a baby being a boy is 0.514.

Nine baby births are selected and we have to find the probability that at last one of them is a girl.

P(At least one out of 9 is baby girl) = 1 - P(No baby girl)

= 1 - P(All 9 are baby boy)

= 1 - (0.514)^9

= 1 - 0.0025

= 0.9975

The probability that at least one out of 9 selected births is baby girl is 0.9975

3 0

4 years ago

4c + 2b3 when b = 5 and c= 1.2