Answer:
7680 rabbits
Step-by-step explanation:
Let y represent the number of rabbits after x days and let x represent the number of days. This is an exponential growth equation in the form:
Since there is an initial value of 26 rabbits on the farm and the rabbits double every 30 days, hence the equation becomes:
Answer: Rational numbers have decimal expansions that repeat or terminate.
Step-by-step explanation:
The explanation of this is the non-terminating but repeating decimal expansion means that although the decimal representation has an infinite number of digits, there is a repetitive pattern to it. The rational number whose denominator is having a factor other than 2 or 5, will not have a terminating decimal number as the result.
Answer:
a. 5
b. 1
c. 132
d. -2
Step-by-step explanation:
a. The square root of 4 is 2, the absolute value of -3 is 3. 2 + 3 = 5
b. 4 - (-3) / -7 = 7/ -7 = 1
c. 2 * 4^3 = 128 + (-3) - (-7) = 132
d. 2 (-7 + 3) = -8, square root to the third power of -8 is -2
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Answer:
50%
Step-by-step explanation:
10 kg of mixed nuts that contain 60% peanuts
60(10)
plus
15 kg of a different brand of mixed nuts. with x% peanuts
x(15)
=
That makes 25 kg with 54% peanuts
54(25)
--------------------------
Equation
60(10) + x(15) = 54(25)
600 + 15x = 1350
Subtract 600 from both sides
15x = 750
Diviede both sides by 15
x = 50
50%
Answer:
a is the _amplitude_(Length of the blades)_
The vertical shift, k, is the _Mill shaft height_
Step-by-step explanation:
In this problem the amplitude of the sinusoidal function is given by the length of the blades.
The mill is 40 feet above the ground, therefore the function must be displaced 40 units up on the y axis. So:
We know that the blades have an angular velocity w = 3 rotations per minute.
One rotation = 
1 minute = 60 sec.
So:
Finally:
a is the _amplitude_(Length of the blades)_
The vertical shift, k, is the _Mill shaft height_
