Answer:
B
Step-by-step explanation:
Use the formula for radius and circle circumference.

Since we know the diameter, if we divide that by 2, we can get the radius.

Now we can plug that value into the circumference formula to get the circumference.

*Since we're rounding to the nearest inch.
Answer:
The dimensions of the desktop are (x+7) units by (x-7) units
Step-by-step explanation:
we know that
The difference of squares is equal to

we have

Remember that

substitute

Applying difference of squares

therefore
The dimensions of the desktop are (x+7) units by (x-7) units
Answer:
The expression is
![.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ B \ \ \ \ \ \ C \ \ \ \ \ T\\M = \left \ NYC} \atop {LA}} \right. \left[\begin{array}{ccc}{284}&{483}&{410}\\{597}&{551}&{233}{2}}\\\end{array}\right]](https://tex.z-dn.net/?f=.%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20B%20%5C%20%20%20%5C%20%5C%20%5C%20%5C%20%5C%20C%20%5C%20%5C%20%5C%20%5C%20%5C%20T%5C%5CM%20%3D%20%5Cleft%20%5C%20%20NYC%7D%20%5Catop%20%7BLA%7D%7D%20%5Cright.%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D%7B284%7D%26%7B483%7D%26%7B410%7D%5C%5C%7B597%7D%26%7B551%7D%26%7B233%7D%7B2%7D%7D%5C%5C%5Cend%7Barray%7D%5Cright%5D)
Step-by-step explanation:
From the question we are told that
The number of each items made in the month of January[J] is
![.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ B \ \ \ \ \ C \ \ \ \ \ \ T\\J = \left \ NYC} \atop {LA}} \right. \left[\begin{array}{ccc}{144}&{474 }&{274}\\{598}&{572}&{302}\\\end{array}\right]](https://tex.z-dn.net/?f=.%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20B%20%5C%20%20%5C%20%5C%20%5C%20%5C%20C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20T%5C%5CJ%20%3D%20%5Cleft%20%5C%20%20NYC%7D%20%5Catop%20%7BLA%7D%7D%20%5Cright.%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D%7B144%7D%26%7B474%20%7D%26%7B274%7D%5C%5C%7B598%7D%26%7B572%7D%26%7B302%7D%5C%5C%5Cend%7Barray%7D%5Cright%5D)
The number of each items made in the month of February[F] is
![.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ B \ \ \ \ \ C \ \ \ \ \ \ T\\J = \left \ NYC} \atop {LA}} \right. \left[\begin{array}{ccc}{ 424}&{492}&{546}\\{596 }&{530}&{164}\\\end{array}\right]](https://tex.z-dn.net/?f=.%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20B%20%5C%20%20%5C%20%5C%20%5C%20%5C%20C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20T%5C%5CJ%20%3D%20%5Cleft%20%5C%20%20NYC%7D%20%5Catop%20%7BLA%7D%7D%20%5Cright.%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D%7B%20424%7D%26%7B492%7D%26%7B546%7D%5C%5C%7B596%20%7D%26%7B530%7D%26%7B164%7D%5C%5C%5Cend%7Barray%7D%5Cright%5D)
Generally given that the production for March of all products at all locations was the average of the January and February production then the number of each items made in the month of March[M] is
![.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ B \ \ \ \ \ \ \ \ \ \ \ \ \ C \ \ \ \ \ \ \ \ \ \ \ T\\M = \left \ NYC} \atop {LA}} \right. \left[\begin{array}{ccc}{\frac{144 +424}{2}}&{\frac{474 +492}{2}}&{\frac{274 +546}{2}}\\{\frac{598 +596}{2}}&{\frac{572 +530}{2}}&{\frac{302+164}{2}}\\\end{array}\right]](https://tex.z-dn.net/?f=.%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20B%20%5C%20%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20T%5C%5CM%20%3D%20%5Cleft%20%5C%20%20NYC%7D%20%5Catop%20%7BLA%7D%7D%20%5Cright.%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D%7B%5Cfrac%7B144%20%2B424%7D%7B2%7D%7D%26%7B%5Cfrac%7B474%20%2B492%7D%7B2%7D%7D%26%7B%5Cfrac%7B274%20%2B546%7D%7B2%7D%7D%5C%5C%7B%5Cfrac%7B598%20%2B596%7D%7B2%7D%7D%26%7B%5Cfrac%7B572%20%2B530%7D%7B2%7D%7D%26%7B%5Cfrac%7B302%2B164%7D%7B2%7D%7D%5C%5C%5Cend%7Barray%7D%5Cright%5D)
=> ![.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ B \ \ \ \ \ \ C \ \ \ \ \ T\\M = \left \ NYC} \atop {LA}} \right. \left[\begin{array}{ccc}{284}&{483}&{410}\\{597}&{551}&{233}{2}}\\\end{array}\right]](https://tex.z-dn.net/?f=.%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20B%20%5C%20%20%20%5C%20%5C%20%5C%20%5C%20%5C%20C%20%5C%20%5C%20%5C%20%5C%20%5C%20T%5C%5CM%20%3D%20%5Cleft%20%5C%20%20NYC%7D%20%5Catop%20%7BLA%7D%7D%20%5Cright.%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D%7B284%7D%26%7B483%7D%26%7B410%7D%5C%5C%7B597%7D%26%7B551%7D%26%7B233%7D%7B2%7D%7D%5C%5C%5Cend%7Barray%7D%5Cright%5D)
Answer:
A. The football does not reach a height of 15ft
Step-by-step explanation:
Given

Required
Determine which of the options is true
The option illustrates the height reached by the ball.
To solve this, we make use of maximum of a function
For a function f(x)
Such that:
:

i.e we first solve for 
Then substitute
for x in 
In our case:
First we need to solve
Then substitute
for t in 
By comparison:






Substitute
for t in 






This implies that the maximum height reached is 14.0625ft.
So, the option that answers the question is A because 
Answer: 1³/₅ of cake left
Step-by-step explanation:
There were two cheesecakes.
One was taken and cut into 10 slices, 4 of which were sold. The remainder of Cake A is:
= 10 - 4
= 6 slices
1 cake and 6 slices are therefore left.
As the 6 slices were originally 10, this expression in fraction is:
= 6/10
= 3/5
There are therefore:
= 1³/₅ of cake left