Answer:
See graph below
Step-by-step explanation:
The domain is (-∞,∞) and the range is [1,∞)
Answer:
Step-by-step explanation:
AR = QR = RS = (1/2) QS = 3
So ....by the Pythagorean Theorem, AS = AQ =
√ [3^2 + 3^2] = √[9 + 9 ] = √18
And the area of the two semi-circles= the area of a circle with a radius of AS/2 =
pi [AS/2]^2 =
pi [√18/2]^2 = 18pi/4 = (9/2)pi units^2
And the area of the rest of the figure is just that of a rhombus =
The product of the diagonals / 2 =
AB*QS/2 = 9 * 6 / 2 = 27 units^2
So....the total area =
[(9/2) pi + 27] units^2 = about = 41.1 units^2 [rounded]
Answer:
The people can seat themselves in 20160 different ways.
Step-by-step explanation:
Arrangements of n elements:
The number of arrangements of n elements is given by the following formula:

In this question:
For the first seat, that is, the driver seat, 4 possible people can sit.
For the remaining 7 seats, the number of ways in which the people can sit is an arrangement of 7 elements. So

The people can seat themselves in 20160 different ways.
An equation has as many solutions as the highest exponent.
For example: x^5+2x-3=0 would have a maximum of 5 solutions
Step-by-step explanation:
If there are 20 yellow marbles,
there must be 32 - 20 = 12 red marbles.
P(Red marble)
= 12/32
= 0.375.