9514 1404 393
Answer:
- reflected across the x-axis
- vertically stretched by a factor of 2
- translated down 7 units
Step-by-step explanation:
When the function y = x³ is transformed to y = -2x -7, there are three transformations involved. The multiplication by 2 causes a vertical stretch by a factor of 2. The leading minus sign causes the function to be reflected over the x-axis, and the addition of -7 causes the graph to be translated down 7 units.
Answer:
Equal to 440
Step-by-step explanation:
Probaility in general is defined as the ratio of positive outcomes over the total number of outcomes.
In the first example, the total outcomes are 16; let us count the positive ones. There are 8 even numbers from 1-16. The prime numbers are 2,3,5,7,11,13. Out of those, only 5 are odd. Hence, in total there are 13 positive outcomes. Thus, the probability is 13/16=81.25%
Let's restrict the problem to the students that studied for the exam; the proportion is 0.57 of the total students. 0.52 of the total students studied and saw an increase in their exam. Hence, the probability that a student who studied saw an increse is 0.52/0.57 (here a positive outcome is the proportion that saw an increase and the total outcomes are all the students that studied). 0.52/0.57=91.22%
Answer:
Step-by-step explanation:
The equation for a cylinder is the radius of the circle times pi squared, multiplied by the height. 3 squared is 9, times pi is 9(pi). If we multiply this by the height, the answer is 90(pi) centimeters in volume.
Answer:
The area of the base is <u>126 mm²</u>.
Step-by-step explanation:
Given:
A rectangular prism that has a 9mm width and 8mm height and a 14mm length.
Now, to find the area of the base of the rectangular prism.
The dimensions of rectangular prism are:
Length = 14 mm.
Width = 9 mm.
Height = 8 mm.
Now, to get the volume of rectangular prism by putting formula:
<u><em>Thus, the volume of rectangular prism is 1008 mm³.</em></u>
Now, to get the area of the base we put formula:
Dividing both sides by 8 we get:
Therefore, the area of the base is 126 mm².
