The answer to your question is : C. 30
You subtract 72 and 42
72-42=30
1. To find the vertex of a parabolla whose equation is written in the standard form, you must apply the following proccedure:
2. You have:
y=-0.18x²+4.4x-12
a=-0.18
b=4.4
3. You must apply the following formula:
<span>
x=-b/2a
x=-4.4/2(-0.18)
x=-4.4/-0.36
x=12.22
4. When you susbtitute x=12.22 into the equation </span>y=-0.18x²+4.4x-12, you obtain:
y=-0.18x²+4.4x-12
y=-0.18(12.22)²<span>+4.4(12.22)-12
</span> y=14.88 feet
5. The answer is: The maximum height of the tunnel is <span>14.88 feet</span>
The answer is 2.54 because if u subtract those two numbers u will get 2.51 and then u add the last number and u get 2.54 as your final answer
Answer: third option.
Step-by-step explanation:
By definition, a direct variation function has the form shown below:

Where k is a constant.
Then, knowing the given points, you can calculate k with the formula for calculate the slope of a line:

Substituting k into
, you obtain:

To solve this problem, we make use of the formula of
combination.
nCr = n! / r! (n – r)!
where n is the total number of subject teachers and r is
the number of subjects r = 1
For the English class n = 3
3C1 = 3! / 1! (3 – 1)! = 3
For the Algebra class n = 4
4C1 = 4! / 1! (4 – 1)! = 4
For the Biology class n = 2
2C1 = 2! / 1! (2 – 1)! = 2
The total number of different schedules would be the
product of the three combinations:
total combinations possible = 3 * 4 * 2
total combinations possible = 24