How much ice cream is in a spherical scoop of ice cream with a radius of 3 cm? Use 3.14 as an approximation for pi. Round your answer to the nearest whole number. (1 point)
The volume of a sphere can be calculated using the formula V = 4/3 * π * r^3
Plugging in the given radius of 3 cm, we get:
V = 4/3 * 3.14 * 3^3
V = 4/3 * 3.14 * 27
V = 113.04 cm^3
Rounded to the nearest whole number, the volume of the spherical scoop of ice cream is 113 cm^3.
Multiply (x - 4) (x + 2). (1 point)
О х^2 - 2× - 8
O x^2 - 6x + 8
O x^2 + 6x + 8
O x^2 + 8
(x - 4) (x + 2) = x^2 + 2x - 4x - 8
= x^2 - 2x - 8
Therefore, the correct answer is (x^2 - 2x - 8).
What is the greatest common factor of 2a and 42 y? (1 point)
O 2x^2у
O 2ху
O 4x^2
О 2х^2
To find the greatest common factor of 2a and 42y, we need to identify the factors of each term.
The factors of 2a are 2 and a.
The factors of 42y are 2, 3, 7, and y.
The greatest common factor is the highest factor that is common to both terms. In this case, the greatest common factor is 2, which is common to both 2a and 42y.
Therefore, the correct answer is 2.
What is the greatest common factor of 2x^2 and 4x^2y? (1 point)
O 2x^2у
O 2ху
O 4x^2
О 2х^2
To find the greatest common factor of 2x^2 and 4x^2y, we need to identify the factors of each term.
The factors of 2x^2 are 2, x, and x.
The factors of 4x^2y are 2, 2, x, x, and y.
The greatest common factor is the highest factor that is common to both terms. In this case, the greatest common factor is 2x^2, which is common to both 2x^2 and 4x^2y.
Therefore, the correct answer is 2x^2.
How would you rewrite the expression 6x + 18x^2 by factoring out the GCF? (1 point)
• 6х (1x + 3х)
• 6х (1 - 6х)
• 6х (1 + 3x)
• 3х (2 + 6х)
To rewrite the expression 6x + 18x^2 by factoring out the GCF, we first identify the greatest common factor. The greatest common factor is 6x.
Now, we divide each term by the greatest common factor:
6x = 6x * 1
18x^2 = 6x * 3x
Therefore, rewriting 6x + 18x^2 by factoring out the GCF 6x gives: 6x(1 + 3x)
So, the correct answer is: • 6х (1 + 3x)
Solve for x.
7(4x - 15) = 63
x =
To solve for x in the equation 7(4x - 15) = 63, we need to first distribute the 7 on the left side of the equation:
28x - 105 = 63
Next, we add 105 to both sides to isolate the x-term:
28x = 63 + 105
28x = 168
Finally, we divide by 28 on both sides to solve for x:
x = 168 / 28
x = 6
Therefore, the solution for x is x = 6.