Answer:
n, h = Naomi's and Hudson's work hours, respectively
n + h = 13
35n +20h = 395
Step-by-step explanation:
We are asked for the number of work hours of Naomi and Hudson. It is convenient to define the variables n and h to represent those hours, respectively. Then the system of equations is ...
n + h = 13 . . . . . . . . . . . . total work hours
35n +20h = 395 . . . . . . total shirts ironed
_____
The solution is Naomi worked 9 hours; Hudson worked 4 hours.
Answer:
Step-by-step explanation:
From the question we are told that
Six wire are attached to a circuit board
Generally using multiplication rule
Let number of possible sequence be given as S
Mathematically
Therefore
Number of possible sequence
Let's find the area of the base first:
7×7=49
The S stands for the sides of the base. Since you are multiplying them by each other, you are basically squaring them.
Let's now multiply the area of the base by the height.
49×12=588
Now, let's multiply by 1/3.
588×1/3 or 588÷3
196
So, the volume is 196 ft³.
Answer:
-29/20
Step-by-step explanation:
The cosecant function is the inverse of the sine function. Both sine and cosecant are odd functions, meaning csc(-x) = -csc(x) = -1/sin(x).
csc(-θ) = -1/sin(θ) = -1/(20/29) = -29/20
Answer:
x = -2 + 2 i or x = -2 - 2 i
Step-by-step explanation:
Solve for x:
x^2 + 4 x + 8 = 0
Subtract 8 from both sides:
x^2 + 4 x = -8
Add 4 to both sides:
x^2 + 4 x + 4 = -4
Write the left hand side as a square:
(x + 2)^2 = -4
Take the square root of both sides:
x + 2 = 2 i or x + 2 = -2 i
Subtract 2 from both sides:
x = -2 + 2 i or x + 2 = -2 i
Subtract 2 from both sides:
Answer: x = -2 + 2 i or x = -2 - 2 i
