I believe it is 960 inches. For the long triangles, I just made them a square so I multiplied base times height. For the small triangles, i did the same thing. Long triangles were 640, small triangles were 320
Population growth can be modeled using an exponential function: P = Ae^kt
Since it was given that:
At 1985, P = 145 M and at 1995, P = 190 M, we could easily solve for the constants A and k
145 = Ae^k(1985)
190 = Ae^k(1995)
Using natural logarithms to transform these equations to linear:
Ln 145 – ln A = k(1985) ->eqn 1
Ln 190 – ln A = k(1995) -> eqn 2
Solving the system of equations:
Ln A = -48.6759, A = 7.249x10^-22
k = 0.02702
P = (7.249 x 10 ^-22) e^ 0.02702t
TIP: try not to round off values. Since the terms are exponential, a slight deviance of the constants will yield great differences in P
Answer:
56
Step-by-step explanation:
10% of 70 is 7. 7 times 8 is 56. 56 is 80% of 70
Find the equation of the line connecting (0, 5) and (-2, 0).
As we go from the first point to the second, x decreases by 2 and y decreases by 5. Thus, the slope of this line is m = rise / run = -5/(-2), or 5/2.
Starting with the general equation of a line in slope-intercept form, y = mx + b, substitute the knowns as appropriate to determine the value of b:
y= mx + b => 5 = (5/2)(0) + b. Then b = 5, and the desired equation is
y = (5/2)x + 5.
Check this! If we subst. the coordinates of (-2,0) into this equation, is the equation true?
0 = (5/2)(-2) + 5
Yes. So, y = (5/2)x + 5 is the desired equation.
Answer:-1
Step-by-step explanation:
the output of a function is the y value while the input is the x value.
so the question is asking what does the y value( output) have to be for the x value( input) to be zero.
since the graph is provided we can just look to see where the x values becomes zero ( the y axis is when all y values are zero)
we then can identify that the y intercept is -1
hope this helps!!