Answer:
12³
Step-by-step explanation:
A number in the <u>exponential form</u> has a small number on the top right of the base, looking like this, if "x" is the exponent and "B" is the base.
Bˣ
Value of an number in exponential form:
"x" is the number of time you multiply the base, "B" by itself.
Examples:
3² = 3 * 3
3⁴ = 3 * 3 * 3 * 3
5¹ = 5
The formula for the volume of a cube is V = s³; "s" is the length of one side.
If the length is 12, substitute 12 for "s".
V = 12³ Volume of cube in exponential form
Other answers:
12 x 12 x 12
This expression also gives you the volume of the cube, but it is not in exponential form. It is in expanded form, (V = l x w x h; length times width times height).
3¹²
This option switches the base with the exponent.
12
This option only gives the length of one edge.
Answer:
D
Step-by-step explanation:
Yes, it is true that Jimmy John was underfilling the lettuce bags with sample mean of 14.39 pounds and sample standard deviation of 0.539.
Given sample mean =14.39 pound, sample standard deviation=0.539 and stated weight=15 pounds.
We know that mean is the number which comes after dividing sum of numbers divided by numbers. Standard deviation shows how much dispersed data is. Firstly we observe through mean and because it is less than 15, it means Jimmy John's had underfilled in atleast one bag otherwise if he had not underfilled the mean may come greater than or equal to 15 pounds.
Now come along standard deviation, we can observe that standard deviation is also low means the points are not in such a way that one point lies at 15 and other one is 25. It also shows underfilling of lettuce bags.
Hence it is true that Jimmy John had underfilled the lettuce bags.
Learn more about standard deviation at brainly.com/question/475676
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Answer:
6s - 300 > 210 is the answer.
Answer:
Equation of the Ellipse
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given that the equation
x² + 2 x + 2y² - 12 y +11 = 0
⇒ x² + 2 x + 1 - 1 + 2(y² - 6 y )+ 11 = 0
x² + 2 x + 1 - 1 + 2(y² - 2(3) y+9-9 )+ 11 = 0
⇒ x² + 2 x + 1 - 1 + 2(y² - 2(3 y ) + 3²- 3² ) + 11 = 0
By using (a +b)² = a² + 2 a b + b²
(a -b)² = a² - 2 a b + b²
<u><em>Step(ii):-</em></u>
x² + 2 x + 1 - 1 + 2(y² - 2(3 y ) + 3²- 3² ) + 11 = 0
⇒ ( x+1)² +2( y-3 )² - 1 - 2(9) +11 =0
⇒ ( x+1)² +2( y-3 )² - 8 =0
( x+1)² +2( y-3 )² = 8
Dividing '8' on both sides , we get


This equation represents the Ellipse