Question:
The quantities x and y are proportional.
x y
5.8 7.5
11.2
Find the constant of proportionality (r) in the equation y=rx
Answer:
The constant of proportionality is 75/58 or 1.29
Step-by-step explanation:
Given
The table above
Required
Find the constant of proportionality
The question has an incomplete table but it can still be solved because x and y are proportional.
Given that
y = rx
Make r the subject of formula
Divide through by x
y/x = rx
y/x = r
r = y/x
When y = 7.5, x = 5.8
Substitute these values
r = y/x becomes
r = 7.5/5.8
Multiply denominator and numerator by 10
r = (7.5 * 10)/(5.8 * 10)
r = 75/58
In this case, it's best to leave the answer in fraction.
However, it can be solved further.
r = 75/58
r = 1.29 (Approximated)
Hence, the constant of proportionality is 75/58 or 1.29
Answer:
4 feet per second
Step-by-step explanation:
Hi there!
where v is velocity (speed), D is distance and t is time
Plug in the known values (D=180 feet, t=45 seconds)
Therefore, the speed of the ball is 4 feet per second.
I hope this helps!
You cannot "solve for f" here. However, you can find the zeros/roots of f. Set f = to 0. Then, one by one, set each of the factors = to 0 and solve for x:
x+1=0 results in x=-1; x-5=0 results in x=5, and so on.
Thus, the solutions of f(x)=0 are {-1, 5, -3, 4, 8}
I’m almost positive it’s #1 my bad if it isn’t
SOH CAH TOA tells you the sine function of an angle gives the ratio of opposite side to the hypotenuse of the right triangle.
Sin = Opposite/Hypotenuse
In this problem, the angle is 15°, the hypotenuse is 3000 m and we want to find the length of the opposite side (the height above the ground).
sin(30°) = height/(3000 m)
Multiplying by 3000 m, we get
height = (3000 m)*sin(30°) = 1500 m
The height of the plane at that instant is ...
1500 m
