Answer:
After t = 4 the rocket will hit the ground.
Step-by-step explanation:
We are given a parametric equation as x = 3t² and y = - 4t + 16.
If we assume that the x is a measure of horizontal distance, y is the measure of vertical distance and t is the time of travel of the rocket, then by making y = 0, we will get the time to hit the ground.
Hence, - 4t + 16 = 0
⇒ t = 4
Therefore, after t = 4 the rocket will hit the ground. (Answer)
(0,33) and (4.8, 30.5) meet our mathematical conditions for this situation.
Answer:
n = P/8.75
Step-by-step explanation:
Jose’s pay (P) depends on the number (n) of hours he works.
P = 8.75n Divide both sides by 8.75
n = P/8.75
=====
P = $61.25
n = 61.25/8.75
n = 7 h
Jose worked for 7 h.
Answer:
208⅓ ft²
Step-by-step explanation:
The dimensions of Rachel's living room are 80 times the measurements on the scale drawing.
Calculate the width:
w = 80 × 1⅞
Convert the mixed number to an improper fraction = 80 × 15/8
Cancel the 8s = 10 × 15
= 150 in
Convert inches to feet = 150/12
Convert the improper fraction to a mixed number = (144 + 6)/12
= 12⁶/₁₂
Reduce the fraction to lowest terms = 12½ ft
Calculate the length
l = 80 × 2½ = 80 × 5/2 = 40 × 5 = 200 in = 200/12 = (192 + 8)/12
l = 16⁸/₁₂ = 16⅔ ft
Calculate the area
A = lw
A = 16⅔ × 12½
Convert the mixed numbers to improper fractions
A = 50/3× 25/2
Cancel the 2s
= 25/3 × 25
Multiply numerators and denominators
= 625/3
Convert the improper fraction to a mixed number
= (624 + 1)/3
= 208⅓ ft²
The area of Rachel's living room is 208⅓ ft².
Answer:
no solutions exist
Step-by-step explanation:
verify
not true, the equation is impossible
