Answer:
c = 420t . . . . c is calories burned; t is hours riding at 15 mph
Step-by-step explanation:
There is not enough information given to write a function rule relating all the variables to calories burned. If we assume that calories are burned at the constant rate of 420 calories per hour, then total calories will be that rate multiplied by hours:
c = 420·t
where c is total calories burned by the 154-lb person, and t is hours riding at 15 mph.
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In general, rates are related to quantities by ...
quantity = rate · time . . . . . where the rate is (quantity)/(time period)
Answer:
Sin A: 35/37
Cos C: 35/37
Step-by-step explanation:
Sin A: 35/37
Cos C: 35/37
Using acronym SohCahToa we know
Sin is Opposite/Hypotenuse
Cos is Adjacent/Hypotenuse
With each problem we mark by the letter given to create adjacent side.
I hope this helps!
7,258,630-
seven million, two hundred fifty-eight thousand, six hundred thirty :-)
The normal vectors to the two planes are (3, 3, 2) and (2, -3, 2). The cross product of these will be the direction vector of the line of intersection, (12, -2, -15).
Using x=0, we can find a point on this line by solving the simultaneous equations that remain:
... 3y +2z = -2
... -3y +2z = 2
Adding these, we get
... 4z = 0
... z = 0
so the point we're looking for is (x, y, z) = (0, -2/3, 0). This gives rise to the parametric equations ...
- x = 12t
- y = -2/3 -2t
- z = -15t
By letting t=2/3, we can find a point on the line that has integer coefficients. That will be (x, y, z) = (8, -2, -10).
Then our parametric equations can be written as
- x = 8 +12t
- y = -2 -2t
- z = -10 -15t
Answer:
<u>Photo Lab:</u> 
<u>=3.20x +8</u>
<u>Specialty Photos:</u> <u>=2.60x + 10</u>
Step-by-step explanation:
At the Photo Lab, the cost is $3.20 per roll plus 8 per print.
Therefore, the cost of developing a roll of film is:
<u>=3.20x +8</u>
At Specialty Photos the cost is $2.60 per roll plus 10 per print.
Therefore, the cost of developing a roll of film is:
<u>=2.60x + 10</u>
