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hram777 [196]
3 years ago
9

The cost, in dollars, to produce 1 watt of solar energy is a function of the number of years

Mathematics
1 answer:
MrRissso [65]3 years ago
3 0

Answer:

In the figure attached, the graph of the function is shown.

1. f(9) ≈ 6 means that at t = 9 (year 1977 + 9 = 1986) the cost to produce 1 watt of solar energy was $6

2. f(4) ≈ 25, which means at year 1981 (=1977 + 4) the cost was $25 per watt  

f(3.5) ≈ 28, which means at half of year 1980 (=1977 + 3.5) the cost was $28 per watt  

3. When f(t) = 45, t is equal to 2, which means that the year wass 1979 (= 1977 + 2)

4. From the graph we can compute the following table:

x  |  y

0  |  80

1   |  60

The general exponential decay formula is:

f(x) = a*b^x

where <em>a</em> is the initial value and <em>b</em> si the decay factor. Replacing with data from the table:

f(0) = a*b^0

80  = a

f(1) = a*b^1

60/80 = b

0.75 = b

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Triangles triangle ABC and triangle DEF are similar. Find the angles of these triangles if Mesurements of angle A=100 degrees, a
beks73 [17]

Answer:

<D = 100

<E =30

<F =50

Step-by-step explanation

Given that triangles triangle ABC and triangle DEF are similar, this means that their angles are congruent i.e

<A = <D

<B = <E

<C = <F

Given

<A = 100 then <D = 100

<B = 30°, then <E = 30°

To get <F, we will use the expression

<D+<E+<F = 180 (sum of angles in a triangle is 180°)

100+30+<F = 180

130+<F = 180

<F = 180-130

<F = 50°

Hence the measure of <F is 50°

3 0
2 years ago
270 is 90% of what number?
kakasveta [241]
90\% \ of \ x =270 \\\\ \frac{90}{100}*x=270 \\\\ \frac{9}{10}=\frac{270}{x} \\\\ x=\frac{10*270}{9} \\\\ x=10*30 \\\\ \boxed{x=300}
6 0
3 years ago
A movie theater has been charging $10.00 per person and selling about 500 tickets on a typical weeknight. After surveying their
kifflom [539]

Answer:

p(x) = -0.01x + 15

Step-by-step explanation:

Given

Let x represent the number of tickets, and p the charges

(x_1,p_1) = (500,10)

A reduction of 50c gives an increment of 50 tickets.

This gives:

(x_2,p_2) = (500+50,10-0,5) ---- 50c = \$0.5

(x_2,p_2) = (550,9.5)

Required

Determine the demand function

First, calculate the slope:

m = \frac{p_2 - p_1}{x_2 - x_1}

m = \frac{9.5 - 10}{550-500}

m = \frac{-0.5}{50}

m = -0.01

So, the equation is:

p = m(x - x_1) + y_1

p = -0.01(x - 500) +10

p = -0.01x + 5 +10

p = -0.01x + 15

Hence, the function is:

p(x) = -0.01x + 15

4 0
3 years ago
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EleoNora [17]
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5 0
3 years ago
What two numbers multiply to get 25 and add to -10
SOVA2 [1]
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