Answer:
904.778 in.
Step-by-step explanation:
Formula for volume of sphere:
4/3×(3.1426)×(radius)^3
=904.778 inches
Answer:
Length: 139 feet
Width: 104 feet
Step-by-step explanation:
The formula for the perimeter of a rectangle can be given by 
. We are given the perimeter of the pool along with the width.
From here, all we have to do is plug back into the original formula:
Which can be further simplified as:
From here, all we have to do is add 70 to both sides of the equation and divide by four:
To make sure that this answer is accurate, we can find that the width of the rectangle should then be 104 (given by 139 - 35). All we have to do is plug back into the original equation:
And the substitution works, so the length of the rectangle would be 139 feet and the width would be 104 feet.
Answer:
1
Step-by-step explanation:
First, we can find the equation of the parabola. The standard form of a parabola is ax^2 + bx + c,
where c is the y-intercept. The y-intercept on the graph is -5, and every option starts with x^2, so the equation must be x^2 - 5. This rules out options 3 and 4.
Next, we can find the equation of the line. The options are all given in slope-intercept form: y = mx + b, where b is the y-intercept. The y-intercept on the graph is 1, and option 1 has 1 in the place of b. Therefore, option 1 is the answer.
Answer:
Use PEMDAS so division would be the first step
Step-by-step explanation:
1)Parentheses
2)Exponents
3)Multiplication
4)Division
5)Addition
6)Subtraction
Answer:
The graph's vertex would move 4 to the right and would become twice as wide.
Step-by-step explanation:
We can tell this because the x value of the vertex is the constant inside the parenthesis. In this case, the number changes from 11 to 15, which means it moves to the right by 4.
And with the 2 outside of the parenthesis instead of inside, it becomes more wide (since the 2 is not being squared).
