Answer:
The scale factor of the dilation that transforms the triangle is 1/3
Step-by-step explanation:
9x1/3 is 3. 6x1/3 is 2, etc.
Answer:
see the explanation
Step-by-step explanation:
Let
x ----> the number of years since 2008,
g(x) ----> the percent of people 25 years and older who have completed at least high school
we know that
so
For x=15 years since 2008
substitute
That means
In the year 2023 (2008+15) the percent of people 25 and older completing at least high school will be 93.8%
∫(t = 2 to 3) t^3 dt
= (1/4)t^4 {for t = 2 to 3}
= 65/4.
----
∫(t = 2 to 3) t √(t - 2) dt
= ∫(u = 0 to 1) (u + 2) √u du, letting u = t - 2
= ∫(u = 0 to 1) (u^(3/2) + 2u^(1/2)) du
= [(2/5) u^(5/2) + (4/3) u^(3/2)] {for u = 0 to 1}
= 26/15.
----
For the k-entry, use integration by parts with
u = t, dv = sin(πt) dt
du = 1 dt, v = (-1/π) cos(πt).
So, ∫(t = 2 to 3) t sin(πt) dt
= (-1/π) t cos(πt) {for t = 2 to 3} - ∫(t = 2 to 3) (-1/π) cos(πt) dt
= (-1/π) (3 * -1 - 2 * 1) + [(1/π^2) sin(πt) {for t = 2 to 3}]
= 5/π + 0
= 5/π.
Therefore,
∫(t = 2 to 3) <t^3, t√(t - 2), t sin(πt)> dt = <65/4, 26/15, 5/π>.
Answer:
16. Right isosceles
17. D
Step-by-step explanation:
The triangle has a right angle this makes it a right trangle. Also all parallelograms are not squares, all rectangles aren't squares and all parallelograms aren't rhombuses.
Answer:
Step-by-step explanation:
y=sqrt(x-7)+3 is a transformed from the parent function y=sqrt(x) by the following:
right 7 units
up 3 units
