Answer:
7 units
Step-by-step explanation:
Given that :
house is at (−4, 10). Her school is at (−4, 3)
House location = (-4, 10)
School location = (-4, 3)
Distance from house to school (d) :
Distance between two points :
x = sqrt[(x2 - x1)^2 + (y2 - y1)^2]
x1 = - 4 ; y1 = 10 ; x2 = - 4 ; y2 = 3
d = sqrt[(-4 - (-4))^2 + (3 - 10)^2]
d = sqrt[(-4 + 4)^2 + (-7)^2]
d = sqrt(0 + (-7)^2)
d = sqrt(49)
d = 7 units
Using a linear function, it is found that 80 picnic tables can be produced for a total daily cost of 4,800.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
Considering the daily fixed cost of 1200 as the y-intercept, and the variable cost of 45 as the slope, the linear function for the cost of producing n picnic tables is given by:
C(n) = 1200 + 45n.
Now, we have to solve for n when C(n) = 4800, hence:
1200 + 45n = 4800
45n = 3600
n = 3600/45
n = 80.
More can be learned about linear functions at brainly.com/question/24808124
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Answer:
5^-2/3*5^-1/3*3^-1/3*3^-11/3=
3^-4 *5^-1
Step-by-step explanation:
13!=13×12×11×10×9×8×7×6×5×4×3×2×1
=6,227,020,800
