Step-by-step explanation:
Total numbers of pizza toppings = 12
Number of three topping pizzas can be ordered are:
where = n = number of elements
k = number of elements choosen
n= 12 , k = 3
We calculated the number of permutations. We made this choice because in permutation order of element matters but in combination its not.
Answer:
27,400 is the current population
7% is the rate of increase
The new size is:
- 38,430 is the population if t is an exponent
- 146,590 is t is NOT an exponent in the formula you typed
Step-by-step explanation:
To find the population in a future year, use the formula:
Substitute the value t=5 to find the population in 5 years.
Or if the equation is supposed to have t as an exponent then look below:
Substitute the value t=5 to find the population in 5 years.
This formula is based off the standard formula 
so r, the rate is 1.07=1+0.07 so r is 7%.
is the starting population which is 27,400 here.
Answer:
The length of the arc of the quadrant is 40.663 inches
Step-by-step explanation:
The given parameters for the quadrant are;
The dimensions of the rectangle from which the quadrant is cut = 50 inches by 25.9 inches
Therefore, the length of the radius of the quadrant = The shortest side of the rectangle, r = 25.9 inches
Therefore, we have;
The length of the arc of the quadrant = 1/4 × 2 × π × r
Where;
π = 3.14
∴ The length of the arc of the quadrant = 1/4 × 2 × 3.14 × 25.9 = 40.663
The length of the arc of the quadrant = 40.663 inches.
<span><span>4,000,000 </span><span>+400,000 </span><span>+0 </span><span>+8,000 </span><span>+700 </span><span>+30 </span><span>+0</span></span>
{(2,0),(-5,-2),(10,8),(6,0),(-9,-2)} is the correct answer (D)
