Answer: Third option.
Step-by-step explanation:
By definition, Exponential functions have the following form:
Where "b" is the base (
and 
), "a" is a coefficient (
) and "x" is the exponent.
It is importat to remember that the "Zero exponent rule" states that any base with an exponent of 0 is equal to 1.
Then, for an input value 0 (
) the output value (value of "y") of the set of ordered pairs that could be generated by an exponential function must be 1 (
).
You can observe in the Third option shown in the image that when ,
Therefore, the set of ordered pairs that could be generated by an exponential function is the set shown in the Third option.
Answer:
161 hope it helps
Step-by-step explanation:
God bless
Answer:
20.4 pounds
Step-by-step explanation:
Given that:
Weight of a coin = 7^-2 pounds
Weight of 1000 coins will be :
Weight per coin * number of coins
7^-2 * 1000
0.0204081 * 1000
= 20.408 pounds
= 20.4 pounds
Answer:
2pi/15
Step-by-step explanation:
The intersection of y=x and y=x^2 is (0,0) and (1,1)
Washer method
Prefered this method for this one since slices are perpendicular to axis of rotation
Integrate(Big circle - Small Circle)dx
Integrate(pi*(x)^2-pi*(x^2)^2)dx on x=0..1
Integrate(pi*x^2-pi*x^4)dx on x=0..1 is 2pi/15
Shells method
So I have to solve for x since I will be integrating with respect to y
The height of the the shell will be sqrt(y)-y
The radius will be y since that is the distance between axis of rotation in a point within the shell
Integrate(2*pi*r*h ) dy
Integrate(2*pi*(sqrt(y)-y)*y) dy on y=0..1 is 2pi/15
9514 1404 393
Answer:
Step-by-step explanation:
Consecutive interior angles are supplementary:
(6x +6)° +(3x -15)° = 180°
9x -9 = 180 . . . . . . . . . . . . . . simplify, divide by °
x -1 = 20 . . . . . . . . . . . . divide by 9
x = 21
__
Angles of a linear pair are supplementary:
(3x -15)° +(y +18)° = 180°
3(21) -15 + y + 18 = 180 . . . . substitute for x, divide by °
y = 114 . . . . . . . . . . . . . . . . . . subtract 66
