Answer:
see below
Step-by-step explanation:
The added constant is the value at t=0. It is 47, so only choices A and C make any sense.
A sine function is periodic with period 2π. Here, the period is 4 minutes, so the argument of the sine function needs to be 2π when t=4. That is only the case for choice C.
Answer:
The algebraic equation would be 3 + x - 4 = 6
Answer: The number can be used to express the change in temperature= -14
Step-by-step explanation:
Given: The temperature in evening dropped by .
Thus, the change in temperature =
Since the temperature in evening is dropped or decreased , thus in integers the change in temperature =
Therefore, the number can be used to express the change in temperature= -14
Answer:
Question 1
Total number of marbles = 5 + 7 + 8 = 20
(a)
- P(red, red) = 5/20*4/19 = 1/19
(b)
- P(white, blue or blue, white) = 7/20*8/19 + 8/20*7/19 = 14/95 + 14/95 = 28/95
(c)
- P(both same colour) = P(red,red or blue,blue or white,white) =
- 1/19 + 8/20*7/19 + 7/20*6/19 = (20 + 56 + 42)/380 = 118/380 = 59/190
Question 2
(a)
- P(A and B) = 2/9 * 4/11 = 8/99
(b)
- P(not A and not B) = (1 - P(A))(1 - P(B)) = 7/9*7/11 = 49/99
(c)
- P(A or B) = 1 - P(not A and not B) = 1 - 49/99 = 50/99
Answer:
If a point is reflected over the x-axis, the x- coordinate of the image remains the same as the pre-image and the y- coordinate is the opposite of the pre-image. ... If a point is reflected over both axes, both coordinates of the image are opposite of the pre-image.