Answer:
A)19 in
Step-by-step explanation:
A) 76/4 is 19.
Answer:
See below.
Step-by-step explanation:
Plot some points:
y = 4^x
When x = 0 y = 4^0 = 1 so the graph passes through (0,1).
x = 1, y = 4^1 = 4 so it passes through (1,4).
You can plot a few more points for x = 2 and x = 3 . You'll see that the graph rises at a fast rate for positive values of x.
When x = -1 , y = 4^-1 = 1/4
x = -2 , y = 1/16
x = -3, y = 1/64
Thus, for negative values of x, the values of y rise slowly from close to y = 0 to meet the y axis at y = 1. When x approaches negative infinity y is very close to 0 but never is 0.
Answer:
(x, y) = (2, 9)
Step-by-step explanation:
For the triangles to be congruent, the hypotenuses must be the same length:
y = x + 7
and the marked leg must be the same length in each triangle:
y -3 = 4x -2
These are two equations in two unknowns (a "system" of equations) that can be solved in any of the usual ways. Since the first equation gives an expression for y, it is convenient to substitute that into the second equation:
(x +7) -3 = 4x -2
x +4 = 4x -2 . . . . . . collect terms
x +6 = 4x . . . . . . . . .add 2
6 = 3x . . . . . . . . . . . subtract x
2 = x . . . . . . . . . . . . divide by 3
y = 2 + 7 = 9 . . . . . .substitute for x in the first equation
The values you're looking for are x = 2, y = 9.
can you put a picture or sum i dont understand
Answer:
405 cycles
Step-by-step explanation:
We have the equation:
y = 6*sin(324*π*t)
For the properties of the sin function, we know that the period is 2π.
So between:
Sin(x) and Sin(x + 2*pi)
we have a cycle.
between:
Sin(x) and Sin(x + 6*pi)
we have 3 cycles.
and so on.
Now we want to find how many cycles will occur between t = 3 s, and t = 5.5 seconds
Between these times, the difference in the argument of the sin function is:
324*π*5.5 - 324*π*3 = 324*π*(5.5 - 3) = 324*π*2.5
Now, the number of cycles that we will have between these times is equal to the number of times that "2*π" is in 324*π*2.5
That number is just the quotient between 324*π*2.5 and 2*π
N = (324*π*2.5)/(2*π) = (324*2.5)/(2) = 405
There are 405 cycles between 3 seconds and 5.5 seconds.