What is (9 to the 3rd power)6
2 answers:
Step-by-step explanation:
4374
Let's go over exponents:
An exponent is a number or letter written above and to the right of a mathematical expression called the base.
Here's an example:
The 5 is the base, and the tiny two on the top is the exponent.
Here's how to find a power.
Multiply the base by how much the exponent is. Let's take your 9 to the 3rd as an example.
= (9)(9)(9)
9x9x9 = 729.
Finally, we have to multiply that by 6.
729(6) = 4374
Therefore, we can conclude that is equal to 4374.
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Answer:
about 2949 feet
Step-by-step explanation:
The geometry of the situation can be modeled by a right triangle. The height of the cliff can be taken to be the side opposite the given angle, and the distance to the coyote will be the side adjacent to the given angle. The relation between these values is the trig function ...
Tan = Opposite/Adjacent
__
<h3>setup</h3>Filling in the known values, we have ...
tan(6°) = (310 ft)/(distance to coyote)
<h3>solution</h3>Multiplying by (distance to coyote)/tan(6°) gives ...
distance to coyote = (310 ft)/tan(6°) ≈ 310/0.105104 ft
distance to coyote ≈ 2949.453 ft
The coyote is about 2949 feet from the base of the cliff.
Answer:
B. A cow of 5 years is predicted to produce 5.5 more gallons per week.
Step-by-step explanation:
Let , where
is the age of the dairy cow, measured in years, and
is the predicted milk production, measured in gallons per week.
Besides, we consider and
, such that
, we define the difference between predicted milk productions (
) below:
(1)
If we know that and
, then the difference between predicted milk productions is:
That is, a cow of 5 years is predicted to produce 5.5 more gallons per week than a cow of 10 years. Hence, the right answer is B.