What is the rule for the function table
Input(x) output(y)
3,6,12. -6,-3,3
A.y=-2x
B.y=x÷4
C.y=x-9
D.y=x-3
The rule for the function table is D.y=x-3.
Nick shoots 30 free throws and makes 18. What is the experimental probability that nick macks the next free throw?
A.25%
B.40%
C.60%
D.75%
The experimental probability that Nick makes the next free throw is:
P(making the next free throw) = number of successful outcomes/total number of trials
In this case, the number of successful outcomes is 18 (since he made 18 free throws out of the 30 attempted), and the total number of trials is 30 (since he attempted 30 free throws in total). Therefore:
P(making the next free throw) = 18/30
Simplifying the fraction, we get:
P(making the next free throw) = 3/5 = 0.60 = 60%
So the answer is C. 60%.
A box is shaped like a rectangular prism. It is 8 inches long, 6 inches wide, and 6 inches high. What is the volume of the box?
The volume of a rectangular prism is given by the formula V = l x w x h, where l is the length, w is the width, and h is the height.
Substituting the given values, we get:
V = 8 x 6 x 6 = 288 cubic inches.
Therefore, the volume of the box is 288 cubic inches.
One of the angles of an acute, isosceles triangle is 54°. Which could be the measure of one of the other angles
A.36°
B.72°
C.108°
D.126°
An isosceles triangle has two equal angles, which means the other two angles of the triangle must have the same measure. Let's call this measure x. Therefore:
54° + x + x = 180° (sum of angles in a triangle)
Simplifying the equation, we get:
2x + 54° = 180°
2x = 126°
x = 63°
So the other two angles of the triangle each measure 63°.
Out of the answer choices given, the only one that fits this criterion is B.72°. Since 72° + 72° + 54° = 198°, which is the sum of angles in an acute triangle.
Therefore, the measure of one of the other angles could be 72°.
Solve equation
4x-2=14
We can solve for x by isolating it on one side of the equation.
Starting with:
4x - 2 = 14
First, we add 2 to both sides to isolate the term with x on one side:
4x - 2 + 2 = 14 + 2
Simplifying:
4x = 16
Finally, we divide both sides by 4 to solve for x:
4x/4 = 16/4
Simplifying:
x = 4
Therefore, the solution to the equation 4x - 2 = 14 is x = 4.
Find the product
(-5)(9)