Alex purchased a 6-hour calling card. He has used t minutes of access time. Wrote an algebraic expression to represent how many
2 answers:
Answer: and the units for the expression is minutes.
Step-by-step explanation:
Given : Alex purchased a 6-hour calling card.
Since , 1 hour = 60 minutes.
Then,
He has used t minutes of access time.
Then , the algebraic expression to represent the number of minutes he has remaining :_
The units for the expression is minutes.
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Answer:
C) about 113
Step-by-step explanation:
"How many people are there per square mile?" means that we want a ratio with miles as denominator. In other words, to find the population density, we just need to divide the population by the land area (miles squared):
We know that the population of Alabama is 90,000 people and its land area is 800 miles squared, so and
.
Replacing values:
Which rounds to:
We can conclude that there are approximately 113 people per square mile in Alabama.
Answer:
V = 2000r³/3
Step-by-step explanation:
We know that the base is a circular disk, so it creates a circle on the xy plane. It would be in the form x² + y² = r². In other words x² + y² = (5r)². Let's isolate y in this equation now:
x² + y² = (5r)²,
x² + y² = 25r²,
y² = 25r² - x²,
y = √25r² - x² ---- (1)
Now remember that parallel cross sections perpendicular to the base are squares. Therefore Area = length^2. The length will then be = 2√25r² - x² --- (2). Now we can evaluate the integral from -5r to 5r, of [ 2√25r² - x² ]² dx.
As you can see, your exact solution would be, V = 2000r³/3. Hope that helps!