Correction
The function is
Answer:
k=0.0259
Step-by-step explanation:
The population function is given as:
Where t=0 corresponds to the year 2000.
In 1980, 1980-2000=-20, p(-20)=215
Therefore:
Answer:
3/5
Step-by-step explanation:
Answer:
640 ft^3
Step-by-step explanation:
In this case we must divide the area into two parts, in the prism and in the pyramid, the sum of the volume of these parts would be the total volume
However
for the volume of the prism it would be the multiplication of the three sides, that is:
8 * 8 * 9 = 576
i.e. 576 ft ^ 3
For the pyramid, the formula is the multiplication of the area of the base by the height divided by 3, we know that the area of the base is 8 * 8 and that the height is 3, therefore:
8 * 8 * 3/3 = 64
64 ft ^ 3 is the volume of the pyramid
The total would be:
576 + 64 = 640
Total volume would be 640 ft ^ 3
Explanation:
<u>Statement 2</u>:
Angle J is congruent to itself
<u>Reason 2</u>:
Reflexive property of congruence
__
<u>Statement 3</u>:
ΔHIJ ~ ΔGHJ
<u>Reason 3</u>:
SAS similarity theorem
_____
The sides given as proportional (having the same ratio) are corresponding sides in the two triangles. The first pair of sides (HJ, GJ) are named by the first and last letters of the triangle names, so correspond. The second pair of sides (IJ, HJ) are named by the last two letters of the triangle names, so correspond.
The angle between these corresponding sides is the one at the vertex whose name is the point shared by the sides. In the first triangle, the two sides of interest are HJ and IJ, which share the point at J. Thus angle J is the angle between these two sides. In the second triangle, the two sides of interest are GJ and HJ, which share the point at J. Hence angle J is the angle between these two sides, also.
So, we have corresponding sides that are proportional and the angle between them that is congruent (to itself). This allows us to invoke the SAS theorem for triangle similarity.
Answer:
The answer is
Step-by-step explanation:
Plug in and solve the equation. We are trying to find the y-intercept:
We found the y-intercept, so now we plug it in it's right full spot in the formula.