Answer: Option 4: -2sin(x + pi/2) - 1
Step-by-step explanation:
When this equation is graphed, the y-intercept is -3 which is what the image shows. None of the others have a y-intercept at -3.
Hope this helps!
Answer:
0.14
Step-by-step explanation:
From the question given above, the following data were obtained:
Grade A = 5
Grade B = 10
Grade C = 15
Grade D = 3
Grade F = 2
Sample space (S) = 35
Probability of getting grade A, P(A) =?
The probability that a student obtained a grade of A can be obtained as follow:
Probability of getting grade A, P(A) =
Event of A (nA) / Sample space, (nS)
P(A) = nA/nS
P(A) = 5/35
P(A) = 0.14
Thus, probability that a student obtained a grade of A is 0.14
Answer:
The value of car after T years of sold is $5,000
Step-by-step explanation:
The initial value of car = i = $5,000
The value of car decreases every years at rate = r = = 0.1 = 10%
Let The value of car after T years of sold = $f
<u>Now, According to question</u>
The value of car after T years of sold = initial value of car ×
I.e f = i ×
Or, f = $5,000 ×
Or, f = $5,000 ×
So,The value of car after T years = f = $5,000
Hence,The value of car after T years of sold is $5,000 Answer
Given triangle ABC with coordinates A(−5, 4), B(−5, 1), and C(−7, 0), and its image A′B′C′ with A′(−1, 0), B′(−4, 0), and C′(−5,
UNO [17]
Answer:
y = x+5
Step-by-step explanation:
A graph can help.
__
The line of reflection will pass through the midpoints of AA' and BB'.
The midpoint of AA' is ((-5, 4) +(-1, 0))/2 = (-3, 2)
The midpoint of BB' is ((-5, 1) +(-4, 0))/2 = (-4.5, 0.5)
The slope of the line through these points is ...
Δy/Δx = (2 -0.5)/(-3-(-4.5)) = 1.5/1.5 = 1
Then the y-intercept can be found from
y = x + b
2 = -3 + b
5 = b
So, the line of reflection is ...
y = x + 5
Answer:
D) 20 in
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h where r is the radius and h is the height
Substituting what we know
980 pi = pi (7)^2 h
Divide each side by pi
980 pi /pi= pi 49 h/pi
980 = 49h
Divide each side by 49
980/49 = 49h/49
20 =h