Answer:
a = 5120
b = 1.25
Step-by-step explanation:
Let the exponential function representing the given table is,
f(x) = 
Here, f(x) = Number of views
x = Number of weeks
We choose two points from the given table and satisfy the equation of the function.
Let the points are (0, 5120) and (1, 6400)
For a point (0, 5120),
f(0) = a(b)⁰ = 5120
a = 5120
Now for the second point (1, 6400),
6400 = 5120(b)¹
b = 
b = 1.25
Therefore, a = 5120 and b = 1.25 are the values.
A number minus twenty four
Answer:
For the box that you did not fill out the area of that shape is 190 sq units
Step-by-step explanation:
10 x 5 = 50 ÷ 2 = 25
10 x 15 = 150
10 x 3 = 30 ÷ 2 = 15
25 + 150 + 15 = 190
Using the slope concept, it is found that the distance from point A to point B is of 465 feet.
<h3>What is a slope?</h3>
The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.
To find the horizontal position at point A, we have that:
tan(10º) = 107/dA
dA = 107/tan(10º)
dA = 607.
For the horizontal position at point B, we have that:
tan(37º) = 107/dB
dB = 107/tan(37º)
dB = 142.
Hence the distance is given by:
D = dA - dB = 607 - 142 = 465.
More can be learned about the slope concept at brainly.com/question/18090623
#SPJ1
Answer:
4/3
Step-by-step explanation:
The tangent of any angle (θ) in standard position that has point (x, y) on its terminal ray is ...
tan(θ) = y/x
__
For the given point on the terminal side, the tangent is ...
tan(θ) = (-4)/(-3) = 4/3
_____
<em>Additional comment</em>
There are several ways this can be explained. One of them makes use of the relation between rectangular and polar coordinates:
(x, y) = (r·cos(θ), r·sin(θ))
Then the ratio y/x is ...
y/x = (r·sin(θ))/(r·cos(θ)) = sin(θ)/cos(θ) = tan(θ)
