Answer:
Option B
The answer is 16
Step-by-step explanation:
<h3><u>Given</u>;</h3>
<h3><u>To </u><u>Find</u>;</h3>
Now,
4(v – 13) = 12
4(v – 13)/4 = 12/4
v – 13 = 3
v – 13 + 13 = 3 + 13
v = 16
Thus, The value of v is 16
<u>-TheUnknownScientist 72</u>
<h3>
Answer:</h3>
30 ft; 0.4 min
<h3>
Step-by-step explanation:</h3>
The mnemonic SOH CAH TOA reminds you ...
... Sin = Opposite/Hypotenuse
Here, the angle of elevation is opposite the triangle side representing the distance between floors. The hypotenuse is the length of the conveyor belt. Rearranging the formula (by muliplying by Hypotenuse/Sin), we get ...
... Hypotenuse = Opposite/Sin
Filling in the values from this problem, we have ...
... length of conveyor = (26 ft)/sin(60°) ≈ 30 ft
The time it takes to travel that distance is given by ...
... time = distance/speed
... time = (30 ft)/(75 ft/min) = 2/5 min = 0.4 min
A)
The formula for direct variation is written as Y = KX, where k is the direct variation you need to solve for.
Y is the total amount raised and X would be the number of attendees:
100 = K5
Divide both sides by 5:
K = 100/5
K = 20
B. The constant of variation is K which is 20
C) Using the formula from A: y = kx, replace k with 20 and x with 60 and solve for y:
y = 20 * 60
y = 1200
The total is: $1,200
2. A relationship is proportional when the ratio is a constant number.The relationship is non proportional when the ratio varies between the different values.
Answer: If 7+5i is a zero of a polynomial function of degree 5 with coefficients, then so is <u>its conjugate 7-i5</u>.
Step-by-step explanation:
- We know that when a complex number
is a root of a polynomial with degree 'n' , then the conjugate of the complex number (
) is also a root of the same polynomial.
Given: 7+5i is a zero of a polynomial function of degree 5 with coefficients
Here, 7+5i is a complex number.
So, it conjugate (
) is also a zero of a polynomial function.
Hence, if 7+5i is a zero of a polynomial function of degree 5 with coefficients, then so is <u>its conjugate 7-i5</u>.
