D. q(x)
it is the only exponential function
y is multiplied by 2 each time c increases by 1
Answer:
The length of the arc is 4.6375 miles
Step-by-step explanation:
Firstly, find the perimeter of the circle by doing 2*pi*r, you'll get about 18.55 miles.
2*pi*r ---> 2*pi*3 ---> 6*pi ---> ≈ 18.55 miles
Next, plug in x/360, where 360 is the total arc of a circle, and x is the arc you need.
x/360 ---> 90/360 ---> = 0.25
Lastly multiply the two numbers.
18.55 * 0.25 ---> 4.6375 miles is your answer.
<em>(you may need to round your answer if needed)</em>
Answer:
Step-by-step explanation:
Combine real terms and combine complex terms
1) 3 + 2i + 2 - 5i = 3 +2 + 2i - 5i
= 5 + (2-5)i
= 5 + (-3)i
= 5 - 3i
3) 2 - (1 - 2i) + (4 -5i ) - (1 - 3i) = 2 -1 + 2i + 4 - 5i - 1 + 3i
{- is distributed to (1 - 2i) & - is distributed to (1- 3i)}
= 2 - 1 + 4 + 1 + 2i - 5i + 3i
= 6 +0i = 6
5) 4 - 3i + 4 + 3i = 4 +4 -3i + 3i
= 8
7) (3 - 2i)² + (3 +2i) = 3² - 2*3*2i + (2i)² + 3 + 2i {(a - b)² = a² - 2ab +b²}
= 9 -12i + 4i² + 3 + 2i
= 9 - 12i + 4*(-1) + 3 + 2i {i² = -1}
= 9 +3 - 4 - 12i +2i
= 8 - 10i
Answer:
the surface area of the cube is 150 inches squared
Step-by-step explanation:
The computation of the surface area of the cube is shown below:
As we know that
The surface area of the cube is
= 6s^2
= 6(5)^2
= 150 inches squared
hence, the surface area of the cube is 150 inches squared
Answer:
(x + 3)^2 + (y + 2)^2 = 98.
Step-by-step explanation:
(x - h)^2 + (y - k) ^2 = r^2 ( center is (h, k) and r = radius.)
So we have:
(x + 3)^2 + (y + 2)^2 = r^2
When x = 4 y = 5, so
(4 + 3)^2 + (5 + 2)^2 = r^2
r^2 = 7^2 + 7^2 = 98
.