Answer:
45
Step-by-step explanation:
Given
3z² - 6z ← substitute z = 5 into the expression
= 3(5)² - 6(5)
= 3(25) - 30
= 75 - 30
= 45
Answer:
About 588.7 mm^3
Step-by-step explanation:
The formula for the volume of a sphere is (4/3)*pi (or in this case 3.14)*r^3, where r is the radius.
We need the radius. We are given the diameter, 10.4.
The radius is half the diameter, so 10.4/2=5.2.
Use r=5.2 and put it into the formula:
(4/3)*3.14*5.2^3≈588.7
Answer:
C) r3 < r2 < r1
Step-by-step explanation:
To reduce a fraction, divide the numerator and the denominator equally until they reach the simplest whole number possible.
In this case, the numerator (720) and the denominator (1080) can both be divided by 360 to get 2/3, our reduced fraction.
Answer:
Domain: (-∞, ∞)
Range: (-∞, ∞)
Step-by-step explanation:
The domain are the x-values included in the function (the horizontal axis).
The range are the y-values included in the function (the vertical axis).
The two arrows on the ends of the line (pointing upwards and downwards respectively) indicate that the function goes in those direction for infinity. Therefore, if there are an infinite amount of y-values, the range is (-∞, ∞).
While the slope is quite steep, there is still a slope and slowly "expands" the line on the horizontal axis. Because there is no limit to the y-values, the domain will also expand infinitely. Therefore, the domain is also (-∞, ∞).
