Answer:
Step-by-step explanation:
Given the volume of the cylindrical soup expressed as V = πr³+ 7πr²
From V = πr³ + 7πr²;
factor out the common variable
V = πr³ + 7πr²
V = πr²(r+7) ... 1
The original volume of a cylinder V = πr²h .... 2 where;
r is the radius of the cylinder
h is the height of the cylinder
Equating equation 1 and 2, we will have;
πr²(r+7) = πr²h
Divide both sides by πr²
πr²(r+7)/ πr² = πr²h/ πr²
r+7 = h
h = r+7
<em>Hence the factor in the context given is equivalent to the height of the cylinder written as a function of its radius r</em>.<em> The statement means that the height of the cylindrical soup is 7 more than its radius.</em>
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<h2>
Answer:</h2>
variance measures variability from the average or mean. It is calculated by taking the differences between each number in the data set and the mean.','.
Answer:
- Parent Function:
- Horizontal shift: right 3 units
- Vertical shift: up 3 units
- Reflection about the x-axis: none
- Vertical strech: streched
Step-by-step explanation:
assume that is 
and 
is
The transformation from the first equation to the second equation can be found by finding a,h and k for each equation.
factor a 1 out of the absolute value to make the coefficient of x equal to 1
factor a 2 out of the absolute value to make the coefficient of x equal to 1
find a, h and k for
the horizontal shift depends on the value of h when 
, the horizontal shift is described as:
- the graph is shifted to the left h units
- the graph is shifted to the right h units
the vertical shift depends on the value of k
Answer:
The number of times Ellis get to bat is 558.
Step-by-step explanation:
Here, let us assume the number of times Ellis bat = m
So, the number of times Dwight bat = 17 times fewer than Ellis
= m - 17
Also, number of times Wade got to bat = 10 more times than Dwight
= ( m- 17 )+ 10
Total number of bat times = 1650
So, the number of times ( Wade + Dwight + Ellis) bat together = 1650
⇒ ( m- 17 )+ 10 + (m - 17) + m = 1650
or, 3 m - 34 + 10 = 1650
or, 3 m = 1674
⇒ m = 1674/3 = 558 , or m = 558
Hence, the number of times Ellis get to bat = m = 558.
