Answer:
the answer is 10
Step-by-step explanation:
(8+4+14+16+8)/5
a) The linear function that models the population in t years after 2004 is: P(t) = -200t + 29600.
b) Using the function, the estimate for the population in 2020 is of 26,400.
<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.
The initial population in 2004, of 29600, is the y-intercept. In 12 years, the population decayed 2400, hence the slope is:
m = -2400/12 = -200.
Hence the equation is:
P(t) = -200t + 29600.
2020 is 16 years after 2004, hence the estimate is:
P(16) = -200(16) + 29600 = 26,400.
More can be learned about linear functions at brainly.com/question/24808124
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Answer: 40%
Step-by-step explanation: all percents add to 100%, so 40%+20%=60%, and 100%-60%=40%
Answer: 2/3^3
Step-by-step explanation:
To find the volume of a box, you use the formula, Lenth*Width*Height=Volume
The Lenth is 3 1/2. The width is 1 1/3 and the height is 2/14
Plug the values in formula
3 1/2*1 1/3*2/14
Covert the mixed numbers into imporper fractions so it is easier to solve
3 1/2=7/2
1 1/3=4/3
7/2*4/3*2/14
Reduce 2/14
2/14=1/7
7/2*4/3*1/7=7*4*1/(2*3*7)=28/42
Reduce 28/42=14/21=2/3
2/3 ft^3
Answer:
y = x-4
Step-by-step explanation:
y = -x-5
Slope of line is -1.
Slope of perpendicular to line is 1.
Point-slope equation for line of slope 1 that passes through (6,2):
y-2 = 1(x-6)
Rearrange equation to slope-intercept form:
y = 1(x-6) + 2
y = x-4