Answer:
Step-by-step explanation:
A. abject - 2. wretched
B. congenial - 6. friendly
C. deliberately - 7. thoughtfully
D. impetuous - 3. impulsive
E. misgiving - 4. doubt
F. perturbation - 5. disturbance
G. pervade - 8. permeate
H. transgress - 1. err
Hope this helps :)
Answer:
The zeroes in this equation are -5, -4, and 5
Step-by-step explanation:
In order to find these, you need to factor by splitting. For this, we separate out the two halves of the equation and pull out the greatest common factor of each. Let's start with the front end.
r^3 + 4r^2
r^2(r + 4)
Now the second half.
-25r - 100
-25(r + 4)
Since what is left in the parenthesis are exactly the same, we can use that parenthesis next to one with what we pulled out.
(r^2 - 25)(r + 4)
And we can further factor the first parenthesis using the difference of two squares
(r^2 - 25)(r + 4)
(r + 5)(r - 5)(r + 4)
Now that we are fully factored, set each parenthesis equal to 0 and solve for x.
r + 5 = 0
r = -5
r - 5 = 0
r = 5
r + 4 = 0
r = -4
Absolute value only removes the negative signs. Just multiply the numerator and the denominator
Answer:
37.699 cubic inches of water
Step-by-step explanation:
Volume of a cone is V= 1/3 pi r^2 h
We are given that the height is 5 in and the radius is 2 in.
Plug that into the formula: V= 1/3 pi 2^2 9
1/3 x 4 x 9 = 12
Now we are left with 12 pi.
Use a calculator and multiply 12 by pi to get:
37.699
Answer:
The tank will empty in 4 hours.
Step-by-step explanation:
Since a barrel contains 56 liters of kerosene, and it has two taps, one tap that draws 500 ml every 6 minutes and after first 5 liters are drawn from the barrel, the second tap also starts, and it draws 1 liter in every 5 minutes, to determine how many hours will be taken in all to empty the tank, the following calculation must be performed:
0.5 x X = 5
X = 5 / 0.5
X = 10
10 x 6 = 60
1 hour = 51 liters
1 hour 30 minutes = 51 - (1 x 6) - (0.5 x 5) = 42.5
2 hours = 42.5 - (1 x 6) - (0.5 x 5) = 34
2 hours 30 minutes = 34 - (1 x 6) - (0.5 x 5) = 25.5
3 hours = 25.5 - (1 x 6) - (0.5 x 5) = 17
3 hours 30 minutes = 17 - (1 x 6) - (0.5 x 5) = 8.5
4 hours = 8.5 - (1 x 6) - (0.5 x 5) = 0
Therefore, the tank will empty in 4 hours.
