Answer:
V = 140 pi ft^3
Step-by-step explanation:
The volume of a cone is given by
V = 1/3 Bh where B is the area of the base
V = 1/3 (35 pi) * 12
V = 4*35 pi
V = 140 pi ft^3
We cannot approximate pi if we want the exact answer
Answer:
2 x 10^1 (it looks weird how i typed it so its the first answer btw)
Step-by-step explanation:
(6.4 x 10^3) / (3.2 x 10^2) 1. Follow PEMDAS
(6400) / (320) 2. Divide regularly
20 3. Take the 20 and put it in scientific notation
2 x 10^1
hope this helps :)
<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:
The y intercept is (0, 8). The equation of the function is f(x) = 10x + 8
Step-by-step explanation:
Given that after 1 hour of work, Jack will make 18 dollars and the slope is 10, subtract 10 dollars from 18 dollars to find his set amount, or y-intercept.
18 - 10 = 8 dollars.
Now that we have the m and b values, we can create our equation.
The equation in standard form is f(x) = mx +b, where m = the slope and b = the y-intercept. Plug our values in and the equation will be f(x) = 10x + 8. You can test if this is correct by plugging in x values from the table and seeing if your calculated value correctly corresponds to the given y value in the table.
Answer:
greater than b
Step-by-step explanation:
We can use the transitive property for this answer. The transitive property states that if A=B, and B=C, A will always be equivalent to C. Similarly in this equation, -5 is greater than a, and a is greater than b, so -5 must be greater than b.