Answer:
12600 g
Step-by-step explanation:
a kilogram is a thousand grams
(don't forget to include units)
Answer:
116 miles
Step-by-step explanation:
We can solve this by first writing an equation for the cost of the car rental. To begin, the base cost is $17.95, so any further costs must be added to that. Next, the car costs 19 cents (0.19 dollars) for each mile driven, so for each mile, we add 19 cents. This can be written as 0.19 *x if x represents the amount of miles driven. Therefore, we can add the two input costs of the car (the base cost and cost per mile) to get
17.95 + 0.19 * x = total cost.
After that, we want to maximize x/the number of miles with only 40 dollars. We can do this by setting this equal to the total cost, as going over the total cost is impossible and going under would be limiting the amount of miles (this because we are adding money for each mile, so more money means more miles). Therefore, we have
17.95 + 0.19 * x = 40
subtract 17.95 from both sides to isolate the x and its coefficient
22.05 = 0.19 * x
divide both sides by 0.19 to isolate x
22.05/0.19 = x = 116.05
The question asked us to round down, and 116.05 rounded down is 116 for our answer
Answer:
The equation of line passing through point (3 , 10) with slope 2 is y = 2 x + 4 .
Step-by-step explanation:
Given as :
The slope of a line = m = 2
The line is passing through point =
,
= 3 , 10
Now, <u>Equation of line in point- slope form</u>
y -
= m × (x -
)
Or, y - 10 = 2 × (x - 3)
Or, y - 10 = 2 × x - 2 × 3
Or, y - 10 = 2 x - 6
Or, y = 2 x - 6 + 10
Or, y = 2 x + 4
So, The equation of line y = 2 x + 4
Hence, The equation of line passing through point (3 , 10) with slope 2 is y = 2 x + 4 . Answer
Answer:
8
Step-by-step explanation:
Let the initial values of the height and the diameter be h and 2r.
Then the volume of the non-enlarged cylinder is \pi r^2 h
The volume of the enlarged cylinder becomes \pi(2r)^2 2h = \pi 4r^2*2h =8*\pi r^2 h.
So the 2nd volume is obtained by multiplying the 1st volume by 8.
Therefore the cylinder is enlarged by factor 8.
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Answer:
The answer to this question can be defined as follows:
In part (i), the answer is "option d".
In part (ii), the answer is "option 2".
Step-by-step explanation:
Given:
Part (a)

Solve the above equation:

Given:
Part (b)

Solve the above equation:
factor of 

apply limit value:
