Answer:
12
Step-by-step explanation:
(-455)-(-233)+(234)
-455+233+234
(233+234)-455
467-455
12(answer)
Not much can be done without knowing what
is, but at the least we can set up the integral.
First parameterize the pieces of the contour:
where
and
. You have
and so the work is given by the integral
Answer:
$912
Step-by-step explanation:
First, find the tax.
Multiply the tax rate by the price.
tax rate * price
The tax rate is 14% and the price is $800.
14% * 800
Convert 14% to a decimal. Divide 14 by 100 or move the decimal places 2 spaces to the left.
14/100=0.14
14.0–> 1.4 —> 0.14
0.14 * 800
Multiply
112
The tax is $112.
Now find the total bill.
Add the tax and the price.
tax + price
The tax is $112 and the price is $800.
$112 + $800
Add
$912
The final bill is $912.
Answer:
Cannot be written as a mixed number
Step-by-step explanation:
Since 3/20 is a proper fraction, it cannot be written as a mixed number.
If x represents the width of the poster (including borders), the area of the finished poster can be written as
.. a = x*(390/(x -10) +8)
.. = 8x +390 +3900/(x -10)
Then the derivative with respect to x is
.. da/dx = 8 -3900/(x -10)^2
This is zero at the minimum area, where
.. x = √(3900/8) +10 ≈ 32.08 . . . . cm
The height is then
.. 390/(x -10) +8 = 8 +2√78 ≈ 25.66 . . . . cm
The poster with the smallest area is 32.08 cm wide by 25.66 cm tall.
_____
In these "border" problems, the smallest area will have the same overall dimension ratio that the borders have. Here, the poster is 10/8 = 1.25 times as wide as it is high.