<span>The vertex form of a quadratic is given by. y = a(x – h)2 + k, where (h, k) is the vertex. The "a" in the vertex form is the same "a" as. in y = ax2 + bx + c (that is, both a's have exactly the same value). The sign on "a" tells you whether the quadratic opens up or opens down.</span><span>
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Answer: 15,000
Step-by-step explanation:
When you subtract 75,000-60,000, you will get 15,000 and 15,000 is the Variance.
Hope this helps! Thanks for asking.
Answer:
A rhino runs at a speed of about 28 miles per hour.
We need to determine the speed in feet per second.
Converting miles to feet:
The miles can be converted to feet by multiplying 5280 with 28 miles per hour.
Thus, we have;
28 x 5280 = 14784028 × 5280 = 147840
Thus, the speed of the rhino in feet per hour is 147840
Converting hours to seconds:
The hours can be converted into seconds by dividing 147840 by 3600 (Because an hour has 60 seconds in a minute and 60 minutes in an hour)
Thus, we get;
Speed=\frac{147840}{3600}Speed=
3600
147840
Speed = 41.066667Speed=41.066667
Rounding off to the nearest whole number, we get;
Speed = 41
Therefore, the speed of the rhino is 41 feet per second.
Answer:
The area of the smallest section is 
The area of the largest section is 
The area of the remaining section is 
Step-by-step explanation:
Please see the picture below.
1. First we are going to name the side of the larger square as x.
As the third section shares a side with the larger square and the four sides of a square are equal, we have the following:
- Area of the first section:
- Area of the second section:
(Eq.1)
- Area of the third section:
(Eq.2)
2. The problem says that the total area of the enclosed field is 975 square yards, and looking at the picture below, we have:
Replacing values:
Solving for x:
3. Replacing the value of x in Eq.1 and Eq.2:
- From Eq.1:
- From Eq.2:
3,000 yd3 = 200 dtl
Chapter 1: Problem Solving 17 / 21
Rates Question
12 A highway had a landslide, where 3,000 cubic yards of material fell on the road, requiring 200 dump truck loads to clear. On another highway, a slide left 40,000 cubic yards on the road. How many dump truck loads would be needed to clear this slide?
3,000 yd3 = 200 dtl
40,000 yd3 × 200 dtl = 2,667 dtl
3, 000 yd3
