Answer:
"4" represents that there are 4 rabbit in the beginning.
Step-by-step explanation:
Given that the population of a species of rabbit triples every year. This
can be modeled by function 
and 
.
Now we need to find about what does the 4 represent in the given function.
We know that exponential function is given by 
. Where "a" represents the initial amount.
we have a=4 in given function .
So that means "4" represents that there are 4 rabbit in the beginning.
The domain are the required input for a given function, while the range are the output or result from the function.
(5 * sqrt(x^7))^3
Recall sqrt(x^2)=x
So we get (5*x^6 )^3
5*3 is 25, 6*3 is 18 (and exponent to an exponent multiplies)
Therefore the answer is 25x^18
Answer:
The first answer: 390m The second answer: x = 7; m<1 = 17; m<2 = 73
Step-by-step explanation:
First problem:
It's asking for the distance he walks by walking around a rectangular box which is the perimeter.
Two of the sides will have length 115m and two will have length 80m. So this perimeter is 115 + 115 + 80 + 80 = 390m.
Second problem:
Complementary angles add to 90 degrees. So m<1 and m<2 added together will equal 90
-4x +45 + 7x + 24 = 90
3x + 69 = 90
3x = 21
x= 7.
Plug back x into both m<1 and m<2 to find the measure of the angles.
m<1 = -4(7) + 45 = 45-28 = 17
m<2 = 7(7) + 24 = 49 + 24 = 73
Suppose that X is a vertical segment that lies on the y-axis with its beginning at origin and ending at the point (0,4). Then the length of this segment is 4 units.
If you vertically compress this segment by factor of 1/4 with the centre of compression at the origin, you recieve a segment that also lies on the y-axis with its beginning at origin and ending at the point (0,1) (the length of this image segment is 1 unit).
So, the question is: if a segment that lies on the y-axis with its beginning at origin and ending at the point (0,4) is vertically compressed <span>by factor of 1/4 with the centre of compression at the origin, what is the image of this transformation?
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