Answer:
Yes, it is a function
Step-by-step explanation:
the definition of a function is "a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output." Our input is represented by x, or the first number in the parentheses, and our output is y, or the second number in the parentheses. Because each x value had exactly one output, or y, it is a function
The volume of the triangular prism as described is; 15 cubic foot.
<h3>What is the volume of the triangular prism?</h3>
It follows from the formula for calculating the volume of a triangular prism that;
Volume = (1/3) × base area × height.
Consequently,
volume of the prism is; = (1/3) ×9 × 5
Volume = 15 cubic foot
Therefore, volume of the triangular prism as described is; 15 cubic foot.
Read more on triangular prism;
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Answer:
3,-2
Step-by-step explanation:
<span>Say the code only needed to be one number long. Going from 0-9, there are ten digits. Therefore, there are ten unique codes.
Now say the code has to be two numbers long. There are ten possibilities
for the first digit, 0-9. But the second digit only has nine
possibilities, since each number has to be different. (The first number
might be 0, so the second can only go from 1-9) For each of the first
ten possibilities, there are nine possibilities for the second. We
multiply those two numbers together, 10 * 9, and we get 90.
Now we just extend the logic. The third number only has eight
possibilities, while the fourth number only has seven. 10 * 9 * 8 * 7 =
5040 possible codes. I hope this helped! has a great day! :)</span>
10) Enlarging by a factor of 7 corresponds to an increase by a factor of
for the area, or 49. The new rectangle has area 980 square-inches.
To verify, let's say the dimensions of the original rectangle are
. We increase each dimension by a factor of 7 to get
. This new area is 980 square-inches.
11) We use the same concept. Increasing by a factor of 0.6 corresponds to increasing the area by
(n.b., an increase by a factor less than 1 is shrinking). Original area is
. New area is
.
12) We multiply 15 by 11/30 to get 5.5 ft. We multiply 8.25 by the same factor to get 3.025 ft. The area is
.
