Answer:
A. (2i)(8) = d. 16i
B. 16i³ = b. -16i
C. (2i)⁴ = a. 16
D. (2i)(8i) = c. -16
Step-by-step explanation:
A. Multiply 2i by 8 to get 16i, which corresponds to d.
B. The exponent is 3 more than a mulitple of 4 in 16i³, so the answer is negative. -16i corresponds to b.
C. (2i)⁴ has an exponent that is a multiple of 4, so the i isn't needed. 16 corresponds to a.
D. (2i)(8i) simplifies to 2(8) * i². The exponent is 2 more than a multiple of 4, so the answer is negative, without an i. -16 corresponds to c.
Answer:
$2,860
Step-by-step explanation:
2,500 * 3.8% = 90 in interest a year
so
90 * 4 = 360 in interest
add that to what she put in
2,860
No, the number of cows in the barn is 27. You can get this number by subtracting the 83 cows he has from the 56 that are out of the barn.
83 - 56 = 27
Lets name the largest number as x
smallest number is half the largest , therefore its x/2 = 0.5x
then middle number is 3/4 the largest , therefore its 3/4x = 0.75x
the sum of the three numbers are 162
the three numbers added are
x + 0.5x + 0.75x = 162
2.25 x = 162
x = 72
the largest number is 72
then middle number 0.75 x = 0.75 x 72 = 54
smallest number is 0.5x = 0.5 x 72 = 36
answer is - 36,54,72
Answer:
The answer is: y = 1/2x + 2
Step-by-step explanation:
Given equation: y = 1/2x + 5
Given point: (-2, 1)
The slope of the given line is 1/2. Parallel lines have the same slope.
Use the point slope form and solve for y:
y - y1 = m(x - x1)
y - 1 = 1/2(x - (-2))
y - 1 = 1/2(x + 2)
y - 1 = 1/2x + 1/2 * 2
y - 1 = 1/2x + 1
y = 1/2x + 2
Proof:
f(-2) = 1/2(-2) + 2
= -1 + 2
= 1, giving point (-2, 1)
Hope this helps!! Have an Awesome Day!! :-)
