Answer:
Do you have any key words from the unit?
Step-by-step explanation:
Answer:
7 hours
Step-by-step explanation:
2 divided by 14
i hope this helped
Answer:
The surface area of the cylinder is 326.56yd²
Step-by-step explanation:
To solve this problem we have to calculate the circle area and the lateral area
To calculate the area of the circle we use the following formula
a = area
r = radius = 4yd
π = 3.14
a = π * r²
we replace with the known values
a = π * (4yd)²
a = π * 16yd²
a = 50.24yd²
The area of the circle is 50.24yd²
To calculate the lateral area of the cylinder we use the following formula
a = area
h = heighti = 9yd
r = radius = 4yd
π = 3.14
a = 2 * π * r * h
we replace with the known values
a = 2 * 3.14 * 4yd * 9yd
a = 6.28 * 36yd²
a = 226.08yd²
The lateral area of the cylinder is 226.08yd²
Now we add the lateral area of the cylinder with 2 times the area of the circle and obtain the area of the cylinder
226.08yd² + (2 * 50.24yd² ) = 326.56yd²
The surface area of the cylinder is 326.56yd²
<u>Annotation</u>General formula for distance-time-velocity relationship is as following
d = v × t
The velocity of the first car will be v₁, the time is 2 hours, the distance will be d₁.
The velocity of the second car will be v₂, the time is 2 hours, the distance will be d₂.
One of them traveling 5 miles per hour faster than the others. That means the velocity of the first car is 5 miles per hour more than the velocity of the second car.
v₁ = v₂ + 5 (first equation)
The distance of the two cars after two hours will be 262 miles apart. Because they go to opposite direction, we could write it as below.
d₁ + d₂ = 262 (second equation)
Plug the d-v-t relationship to the second equationd₁ + d₂ = 262
v₁ × t + v₂ × t = 262
v₁ × 2 + v₂ × 2 = 262
2v₁ + 2v₂ = 262
Plug the v₁ as (v₂+5) from the first equation2v₁ + 2v₂ = 262
2(v₂ + 5) + 2v₂ = 262
2v₂ + 10 + 2v₂ = 262
4v₂ + 10 = 262
4v₂ = 252
v₂ = 252/4
v₂ = 63
The second car is 63 mph fast.Find the velocity of the first car, use the first equationv₁ = v₂ + 5
v₁ = 63 + 5
v₁ = 68
The first car is 68 mph fast.
Answer
Answer:
16x - 4
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Distributive Property
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
4(3 + 4x - 2)
<u>Step 2: Expand</u>
- [Subtract] Combine like terms: 4(4x - 1)
- [Distributive Property] Distribute 4: 16x - 4