Answer:
D. 2058.24 in³
Step-by-step explanation:
Let r,h be the radius and height of smaller can and R,H be the radius and height of larger can
Then, R=4r and H=4h
Volume of smaller can=32.16 in³
⇒ πr²h=32.16 in³
Volume of larger can= πR²H
= π(4r²)×4h
= 64πr²h
= 64×32.16 in³
= 2058.24 in³
Hence, correct option is:
D. 2058.24 in³
-96 I’m pretty sure it’s that
Answer:
y = 1/4x + 7
Step-by-step explanation:
(-4, 6) and (0, 7)
First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)
Plug in these values:
(7 - 6) / (0 - (-4))
Simplify the parentheses.
= (1) / (0 + 4)
= (1) / (4)
Simplify the fraction.
= 1/4
This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.
y = 1/4x + b
To find b, we want to plug in a value that we know is on this line: in this case, I will use the second point (0, 7). Plug in the x and y values into the x and y of the standard equation.
7 = 1/4(0) + b
To find b, multiply the slope and the input of x(0)
7 = 0 + b
Now, isolate b.
7 = b
Plug this into your standard equation.
y = 1/4x + 7
This is your equation.
Check this by plugging in the other point you have not checked yet (-4, 6).
y = 1/4x + 7
6 = 1/4(-4) + 7
6 = -1 + 7
6 = 6
Your equation is correct.
Hope this helps!
First we need to find the rate which is the total amount driven divided by the total time.
152/4 = 38 miles per hour.
No we take the total driven miles given and divide it by the rate to find how long it would take!
760/38 = 20 hours!
Hope this helps :D
Answer:
Step-by-step explanation:
we are given a line
we want to figure out the equation of theline remember the slope-intercept form of linear equation:
where:
- m is the slope of the equation
- b is y-intercept
from the graph we can clearly see that the line passes y-intercept at <u>(</u><u>0</u><u>,</u><u>-</u><u>3</u><u>)</u> point therefore b is <em>-</em><em>3</em>
to figure out m we can consider the following formula:
from the graph we obtain:(0,-3),(2,-4)
simplify substraction:
now altogether substitute:
and we are done!
