Answer:
Step-by-step explanation:
Use the slope-intercept formula: 
where m is slope and b the y-intercept.
Use the slope formula for when you have two points:
Rise over run is the change in the y-axis over the change in the x-axis. Insert values:
Simplify parentheses (negative+negative=positive)
Simplify
2 is the slope:
Now use one of the points to find the y-intercept by substituting the x and y values into the equation. Solve for b:
(4,7)
The y-intercept is -1. Insert into the equation. Change the + symbol to -:
Done.
Answer:
The larger wheel is 10979.04098 more than the smaller wheel.
Step-by-step explanation:
Given that,
The circumference of the great wheel was twelve thousand and forty-one thousandth inches.
C = 12000.041 inches
The circumference of the lesser wheel was only one thousand twenty-one and two hundred-thousand inches.
C' = 1021.00002 inches
We need to find how much larger was the great wheel. To find it, take the difference of C and C'.
C-C' = 12000.041 inches - 1021.00002 inches
= 10979.04098 inches
Hence, the larger wheel is 10979.04098 more than the smaller wheel.
Answer:
k = - 6.6667
Step-by-step explanation:
this is quite very simple to begin. I would encourage you take other practice questions similar to help with understanding it.
let us begin.
Given that ;
dT/dt = k ( Tm - T) where Tm is the temp of the medium
dT/dt = 5 degrees Celsius per minute when T = 70
so we have that, 5 = k ( 25 - 70)
remember to convert 5 degree celsius per minute to seconds
we have that;
5*60(sec) = k ( 25 - 70)
k = 5*60 / ( 25 - 70)
k = - 6.6667
note K is negative because we consider it for cooling process (temp decreasing).
cheers i hope this helps!!!
Answer:
5+3a=29
Step-by-step explanation:
let Ella's age be 'a'
Vicki's age=5+2a
sum of their ages= 29
So, the equation is
(5+2a)+a=29
5+3a=29
<em>hope this helps!</em>
Answer:
8 nickels and 9 dimes
Step-by-step explanation:
If all were dimes, the value would be $1.70. It is $0.40 less than that. Changing a dime for a nickel reduces the value by $0.05, so there must have been $0.40/$0.05 = 8 such changes.
There are 8 nickels and 9 dimes.
_____
<em>Check</em>
8 · 0.05 + 9 · 0.10 = 0.40 + 0.90 = 1.30 . . . the answer checks OK
