"One rotation" would be the circumference of the wheel, which is
C = 2*pi*r, or (here) C = 2*pi*(8 inches) = 16*pi inches.
1 ft
Convert this to feet: 16*pi inches times ---------------
12 inches
Here "inches" cancels out and you are left with (4/3)pi ft.
So, one rotation of the wheel moves you and your bike forward (4/3)pi ft.
Divide this into 700 feet:
700 ft 2100
------------- = --------- rotations = 525 rotations (answer)
(4/3) pi ft 4
<span>1) What is the equation for the line?
</span>slope = 16/2 = 8
answer
equation
y = 8x
<span>2) What is the equation of a line with a slope of 3 and a point (3, 1) on the line?
Express the equation in the form of y=mx+b where m is the slope and b is the y-intercept.
y - 1 = 3(x - 3)
y - 1 = 3x - 9
y = 3x - 8
answer
</span>y = 3x - 8
The function is:
B ( t ) = 4 * e^(0.8 t)
4 * e^(0.8 t) = 400
e^(0.8 t) = 400: 4
e^(0.8 t) = 100 / ln
ln e^(0.8 t) = ln 100 ( and since: ln e = 1 and ln e^x = x * ln e )
0.8 t = 4.6
t = 4.6 : 0.8 = 5.76 ≈ 6
Answer:
D ) 6 hours.
Answer:
Order from Least to Greatest
-4/7 < -1/19 < 7/4
Showing Work
Rewriting as fractions or any negatives if necessary:
-1/19, 7/4, -4/7
The least common denominator (LCD) is: 532.
Rewriting as equivalent fractions with the LCD:
-28/532, 931/532, -304/532
Ordering these fractions by the numerator:
-304/532 < -28/532 < 931/532
Therefore, the order of your input is:
-4/7 < -1/19 < 7/4
Answer:
B. 125
Step-by-step explanation:
72 did not return the permission slips.
125-72= 53
So therefore 53 students are going on the field trip.
