Answer:
The wheels have to rotate 500 times
Step-by-step explanation:
The wheel is 1 meter in diameter so we need to find the circumference.
C = 2
r
C = 2
1
C= 2
2meters = .002kilometers
1000meters = 1kilometer
1000/2 = 500
Multiply the cost of an item or service by the sales tax in order to find out the total cost. The equation looks like this: Item or service cost x sales tax (in decimal form) = total sales tax. Add the total sales tax to the Item or service cost to get your total cost.
Make sure you put the sales tax into decimal form. You do this by taking the percentage and sliding the decimal point two places to the left:
7.5% sales tax becomes .075 in decimal form
3.4% sales tax becomes .034 in decimal form
5% sales tax becomes .05 in decimal form
Example: $60 (item cost) x .075 (sales tax) = $4.5 total sales tax
Factor:
(m+5)(m+7)
Solve for the numbers inside, set it = to 0:
m+5=0 >solve
m=-5
m+7=0>solve
m=-7
A graphing calculator can do a linear regression on these points very easily. The y-intercept is 107.
_____
If you want to do this by hand, you can use the 2-point form of the equation for a line, then evaluate for x=0.
.. y = (100 -102)/(35 -25)*(x -25) +102
.. y =-2/10*(0 -25) +102
.. y = 107
Given:
The volume of water in a tank is modeled by the function

where, x is the number of minutes after the faucet filling the tank is turned on.
To find:
The y-intercept and what does it represent in this context?
Solution:
We have,

Substituting x=0, we get



Therefore, the y-intercept is 2 and it represents the volume of water in a tank before the faucet filling the tank is turned on.