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
Answer:
0.5 < t < 2
Step-by-step explanation:
The function reaches its maximum height at ...
t = -b/(2a) = -16/(2(-16)) = 1/2 . . . . . . where a=-16, b=16, c=32 are the coefficients of f(t)
The function can be factored to find the zeros.
f(t) = -16(t^2 -1 -2) = -16(t -2)(t +1)
The factors are zero for ...
x = -1 and x = +2
The ball is falling from its maximum height during the period (0.5, 2), so that is a reasonable domain if you're only interested in the period when the ball is falling.
Answer:
See below
Step-by-step explanation:
Q1. if a counting number is selected at random from a set of whole number less than or equal to 20 find the probability of getting:
Counting numbers are Natural numbers:
Also, we have Whole numbers. Despite not having an official symbol, I usually denote the set as
<u>Whole numbers less than or equal to 20</u>:
<u>A. Prime numbers</u>
From the set A, the prime numbers are 2, 3, 5, 7, 11, 13, 17, 19.
Once we have 21 numbers in total and 8 prime numbers, the probability is:
<u>B. Composite numbers</u>
From the set A, the composite numbers are 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20.
Once we have 21 numbers in total and 11 composite numbers, the probability is:
<u>C. Divisible by three</u>
From the set A, the numbers divisible by three are 3, 6, 9, 12, 15, 18.
Once we have 21 numbers in total and 6 numbers divisible by three, the probability is:
<u>D. Square of 2</u>
From the set A, the numbers square of 2 are 0, 1, 4, 9, 16.
Once we have 21 numbers in total and 5 numbers square of 2 , the probability is:
Q2. The opposite angle of acyclic quadrilaterals is in the ratio of 2:3. Find the degree measure of each opposite angle?
Once they're opposite, they add up to 180º
The first angle is 72º
The second angle is 108º
Q3. what is the solution set of 9x-4<13x-7 (domain, x e z) ?
Q4. if three fourth of a number is one tenths, what is the number?
Q5. which one is the equation of the line passing through the origin and having a slope 4?
B. Y= 4x