Answer:

Step-by-step explanation:
We are given equation of parabola as

we can also write as

now, we can compare

and find a , h , and k
a=1
h=0
k=0
now, we can use focus formula

now, we can plug values


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➷ Find the multiplier:
28/100 = 0.28
1 - 0.28 = 0.72
Multiply the total amount by this multiplier:
40,000 x 0.72 = 28,800
She will make $28,800
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Answer:
The probability of getting a black pen from the bag is 13.5%.
Step-by-step explanation:
To determine the percentage probability that a black pen will be obtained from the bag, the following calculation must be performed:
12 + 20 + 5 = 37
37 = 100%
5 = X
(5 x 100) / 37 = X
500/37 = X
13.5 = X
Thus, it is determined that the totality of pens is 100%, and through a cross multiplication the percentage of the 5 black pens with respect to the total of pens is obtained.
Therefore, the probability of getting a black pen from the bag is 13.5%.
Answer:
So if Charlie only has $27 to spend and hes already buying $3 kid's meal that leaves him with $24 to spend for 6 sandwiches. If you divide 6 by 24, 24/6 leaves him with $4 to spend on each sandwich.
Step-by-step explanation:
Answer:
There are 7,725 square feet of grass on the trapezoidal field
Step-by-step explanation:
Here in this question, we are interested in calculating the square feet of grass present on the trapezoidal field.
What this question is actually asking us is to calculate the area of the trapezoid-shaped grass field.
To calculate this area, what we need to do
simply is to use the formula for the area of a trapezoid.
Mathematically, the area of a trapezoid can be calculated using the formula;
Area of trapezoid = 1/2 * (a + b) * h
where a and b refers to the length of the parallel lengths of the trapezoid and h refers to the height of the trapezoid.
From the question;
a, b = 81ft and 125 ft
h = 75 ft
Substituting these values, we have :
Area = 1/2 * (81 + 125) * 75
Area = 1/2 * 206 * 75 = 83 * 75 = 7,725 ft^2