Answer:
Step-by-step explanation:

b.
an=an-1+3
C.
when x=15
y=3×15-2=45-2=43
a15=43
Hey there :)
We know the volume formula of triangular prism
Volume = base x height of prism
=

We are given:
The base = 8 in
The height = 15 in
You do not need the 17 in ( it is there to trick you )
The height of the prism = 10 in
Apply the formula,
V =
= 600 in³Your final answer will be the
last option
We know that the sum of the inner angles of any triangle is 180º
72º + (7x + 3)º + (3x + 5)º = 180º
72º + 7xº + 3º + 3xº + 5º = 180
7xº + 3xº = 180º - 72º - 3º - 5º
10xº = 100º


The sum of the external angle (9y + 1)º with inner angle (3x + 5) = 180 °, <span>Replace the measure of "x" found:
</span>
(9y + 1)º + (3x + 5)º = 180º
9yº + 1º + 3xº + 5º = 180º
9yº + 1º + 3.(10)º + 5º = 180º
9yº + 1º + 30º + 5º = 180º
9yº = 180º - 1º - 30º - 5º
9yº = 144º


Answer:
<span>
The measures of "x" and "y" are respectively: 10º and 16º</span>
The time taken by Jill and Cheryl to double their money is 12 years and 18 years respectively.
<h3>What is Algebra?</h3>
Algebra is the study of mathematical symbols and the rule involves manipulating these mathematical symbols.
Jill invested $500 in an account with a compound interest rate of 6%.
Cheryl invests $600 in an account with a compound interest rate of 4%.
The number of years each doubles their money. Using the relation of 72.

where r is the interest rate and t be the time
The time for the Jill will be

The time for the Cheryl will be

More about the Algebra link is given below.
brainly.com/question/953809
Consider f(x) = -4(x - 6)² + 3
This is a parabola with vertex at (6, 3).
Because the leading coefficient of -4 is negative, the curve opens downward, and the vertex is the maximum value.
Answer: Maximum of f(X) = 3
Consider the function g(x) = 2 cos(2x - π) + 4
The maximum value of the cosine function is 1.
Therefore the maximum value of g(x) is
2*1 + 4 = 6
Answer: Maximum of g(x) = 6