200 sections will cost $7439.
We first see if the rate of change, the slope, is the same between data points. If it is, the function will be linear. We use the formula
m = (y₂ - y₁)/(x₂ - x₁)
For the first two data points, we have
m = (1889-409)/(50-10) = 1480/40 = 37
For the second two data points, we have
m = (4664-1889)/(125-50) = 2775/75 = 37
Now that we know the slope is the same, we can write the equation:
y - y₁ = m(x - x₁)
y - 409 = 37(x - 10)
y - 409 = 37x - 370
Add 409 to both sides:
y = 37x + 39
Using 200 as x,
y = 37(200) + 39 = 7439
Given:
JK is tangent to a circle with center H
To find:
The length of HK.
Solution:
The image is attached below.
JK = 8 mi, HJ = 15 mi
JK is tangent to a circle.
The tangent is always perpendicular to the radius.
Therefore, m∠J = 90°
Using Pythagoras theorem:
HK² = JK² + HJ²
HK² = 8² + 15²
HK² = 64 + 225
HK² = 289
HK² = 17²
Taking square root on both sides.
HK = 17
The length of HK is 17 mi.
Answer:
623
Step-by-step explanation:
Answer:
Your answer is 24.
Step-by-step explanation:
The data set is 22,23,23,23,24,24,25,26,26,26,28
The median of this set is 24
The mean is 24.54
The mode is 23,26
The range is 6
Answer:
x = 2, 3.
Step-by-step explanation:
<u>Since the equation equals 0, we can determine that:</u>
3x-6=0
-x+3=0
Let's solve 3x-6=0.
<u>Add 6 to both sides of the equation:</u>
3x=6
<u>Divide both sides by 3:</u>
x=2
Let's solve -x+3=0.
<u>Subtract 3 from both sides of the equation:</u>
-x=-3
<u>Divide by -1:</u>
x=3
