0.04 is 1/10 of 4 in the problem
Answer:
<h2>11</h2>
Step-by-step explanation:
Given h(t) = t²+t+ 12 and k(t) = √t-1, we are to find k(k.h)(10)
k{h(t)} = k{ t²+t+ 12}
Since k(t)= √t-1, we will replace the variable t in the function with t²+t+ 12
k(h(t)) = √{(t²+t+ 12)-1}
k(h(t)) = √t²+t+12-1
k(h(t)) = √t²+t+11
Substituting t = 10 into the resulting function;
k(h(10)) = √(10)²+(10)+11
k(h(10)) = √100+10+11
k(h(10)) = √121
<em>k(h(10))= 11</em>
<em></em>
<em>hence the value of (k compose h) (10) is 11</em>
Answer:
The difference in the amount of wax needed is 84.78 in³ (84.78 cubic inches)
Step-by-step explanation:
Given
<em>Cylinder</em>
Radius = 3 inches
Height = 7 inches
<em>Sphere</em>
Radius = 3 inches
Required
The difference in the amount of wax needed to make a candle from each of these molds
The quantity or amount required to make a wax of candle from each molds can be calculated by getting the volume of both molds
The volume of a cylinder is calculated using
<em>V₁ = πr²h</em>
where r and h are the radius and the height of the cylinder, respectively.
r = 3 in and h = 7 in
The volume of a sphere is calculated using
![V_{2} = \frac{4}{3}\pi r^3](https://tex.z-dn.net/?f=V_%7B2%7D%20%3D%20%5Cfrac%7B4%7D%7B3%7D%5Cpi%20r%5E3)
where r is the radius of the sphere
r = 3 in
Calculating V₁
V₁ = πr²h
V₁ = π * 3² * 7
V₁ = π * 9 * 7
V₁ = π * 63
V₁ = 63π
Calculating V₂
![V_{2} = \frac{4}{3}\pi r^3](https://tex.z-dn.net/?f=V_%7B2%7D%20%3D%20%5Cfrac%7B4%7D%7B3%7D%5Cpi%20r%5E3)
![V_{2} = \frac{4}{3} * \pi * 3^3](https://tex.z-dn.net/?f=V_%7B2%7D%20%3D%20%5Cfrac%7B4%7D%7B3%7D%20%2A%20%5Cpi%20%2A%203%5E3)
![V_{2} = \frac{4}{3} * \pi * 27](https://tex.z-dn.net/?f=V_%7B2%7D%20%3D%20%5Cfrac%7B4%7D%7B3%7D%20%2A%20%5Cpi%20%2A%2027)
![V_{2} = \frac{108}{3} * \pi](https://tex.z-dn.net/?f=V_%7B2%7D%20%3D%20%5Cfrac%7B108%7D%7B3%7D%20%2A%20%5Cpi)
V₂ = 36π
Having calculated the volume of each molds, the difference in the amount of wax needed can then be calculated.
Difference = V₁ - V₂
Substituting 63π for V₁ and 36π for V₂
Difference = 63π - 36π
Difference = 27π
<em>(Taking π = 3.14)</em>
Difference = 27 * 3.14
Difference = 84.78
Hence, difference in the amount of wax needed is 84.78 in³
Answer:
1st question answer is owning a dog or owning a cat
the second question answer is 7
Step-by-step explanation:
1)mutually exclusive means 2 things that cannot happen at the same times. so its asking which is NOT an example so u can own a dog and a cat at the same time
2)the answer is 7 because 11 ppl buy contact lenses and 4 people buy glasses. 11-4=7
Answer:
X=0,y=-5
x=4,y=-1
Step-by-step explanation:
Replace all occurrences of y with x^2-3x-5
(x^2-3x-5)+5=x
x^2-3x=x
X^2-4x=0
so :x=0,4
enter the value of x in the equation then find y
y=-5,-1