Answer:
x = (13) ^ 1/3
x is approximately 2.351334688
Step-by-step explanation:
x^3 + 7 = 20
Subtract 7 from each side
x^3 + 7-7 = 20-7
x^3 = 13
Take the cube root of each side
x^3 ^ 1/3 = (13) ^ 1/3
x = (13) ^ 1/3
x is approximately 2.351334688
#2 or B is not a function because it has 3 as X twice
Answer:
The rate at which the distance between them is changing at 2:00 p.m. is approximately 1.92 km/h
Step-by-step explanation:
At noon the location of Lan = 300 km north of Makenna
Lan's direction = South
Lan's speed = 60 km/h
Makenna's direction and speed = West at 75 km/h
The distance Lan has traveled at 2:00 PM = 2 h × 60 km/h = 120 km
The distance north between Lan and Makenna at 2:00 p.m = 300 km - 120 km = 180 km
The distance West Makenna has traveled at 2:00 p.m. = 2 h × 75 km/h = 150 km
Let 's' represent the distance between them, let 'y' represent the Lan's position north of Makenna at 2:00 p.m., and let 'x' represent Makenna's position west from Lan at 2:00 p.m.
By Pythagoras' theorem, we have;
s² = x² + y²
The distance between them at 2:00 p.m. s = √(180² + 150²) = 30·√61
ds²/dt = dx²/dt + dy²/dt
2·s·ds/dt = 2·x·dx/dt + 2·y·dy/dt
2×30·√61 × ds/dt = 2×150×75 + 2×180×(-60) = 900
ds/dt = 900/(2×30·√61) ≈ 1.92
The rate at which the distance between them is changing at 2:00 p.m. ds/dt ≈ 1.92 km/h
Answer:
Option A)724 square centimeters
Step-by-step explanation:
we know that
The surface of the prism is equal to the area of its six rectangular faces
The surface area is equal to
where
B is the area of the base
P is the perimeter of the base
H is the height of the prism
we have
<em>Find the area of the base B</em>
<em>Find the perimeter of the base P</em>
<em>Find the surface area SA</em>
Answer 3
This is because there is three cups of flower and she uses a tablespoon of salt for each cup
