Answer:
Step-by-step explanation:
Given that,
The diameter of a hemispherical tank= 14 feet
Radius, r = 7 feet
water
Water weighs 62.4 pounds per cubic foot.
We need to find the total weight of the water in a full tank to the nearest pound.
The volume of the hemisphere is given by :
If water weighs 62.4 pounds per cubic foot, it means
So, the total weight of the water is .
If <em>x</em> + 1 is a factor of <em>p(x)</em> = <em>x</em>³ + <em>k</em> <em>x</em>² + <em>x</em> + 6, then by the remainder theorem, we have
<em>p</em> (-1) = (-1)³ + <em>k</em> (-1)² + (-1) + 6 = 0 → <em>k</em> = -4
So we have
<em>p(x)</em> = <em>x</em>³ - 4<em>x</em>² + <em>x</em> + 6
Dividing <em>p(x)</em> by <em>x</em> + 1 (using whatever method you prefer) gives
<em>p(x)</em> / (<em>x</em> + 1) = <em>x</em>² - 5<em>x</em> + 6
Synthetic division, for instance, might go like this:
-1 | 1 -4 1 6
... | -1 5 -6
----------------------------
... | 1 -5 6 0
Next, we have
<em>x</em>² - 5<em>x</em> + 6 = (<em>x</em> - 3) (<em>x</em> - 2)
so that, in addition to <em>x</em> = -1, the other two zeros of <em>p(x)</em> are <em>x</em> = 3 and <em>x</em> = 2
Answer:
21:26:38
Step-by-step explanation:
Ratio in mathematics is the relationship between two or more amounts, showing how many times they can be contained in one another.
Example: 1:2 means there are two times the first amount in the second.
For the case above;
Given;
Number of each shape noah drew;
hearts = 26
Stars = 21
circles = 38
The ratio of stars to hearts to circles
N(stars) : N(hearts) : N(circles)
21:26:38
Since they are not divisible by a common factor the ratio remains;
21:26:38
Answer:
5,874,589,152,000 mi.
Step-by-step explanation:
Light travels 5,580,000 mi/s in thirty seconds
