Answer:
Initial value = 4
Growth factor = 1.6
Step-by-step explanation:
Function representing the exponential growth is given by,
f(x) = Initial value(1 + growth rate)ˣ
Here x = time or duration for growth
(1 + growth rate) = Growth factor
Given function is,
f(x) = 4(1.6)ˣ
By comparing both the functions,
Initial value = 4
Growth factor = 1.6
Answer:
d. 89°
Step-by-step explanation:
The given measure of the angles formed are;
m∠AED = 48°, m = 175°
According to circle theorem, the angle formed by a chord and a tangent of a circle is given by half of the measure of the arc intercepted by the chord in the direction of the angle;
Therefore;
m∠AED = (1/2) × m = 48°
∴ m = 2 × 48° = 96°
m∠AEF = (1/2) × m
m + m = 360° (angle round a circle)
∴ m = 360° - m = 360° - 96° = 264°
m = m + m
∴ m = m - m = 264° - 175° = 89°
m = 89°.
Answer:
he would have had to run 20 more feet then Juan
Step-by-step explanation:
The triangles are similar, they aren't congruent (identical) though as we don't know if they share a common side
Answer: Slope = 5/4
y-intercept = 2
Step-by-step explanation:
We have the table:
Months, m Plant height in inches, n
0 2
2 4.5
4 7
6 9.5
We want a linear relationship to represent this table.
A linear relationship can be written as:
y = a*x + b
where a is the slope and b is the y-axis intercept.
For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:
a = (y2 - y1)/(x2 - x1).
In this case we can select any pair of points, for example, i will choose the first two:
(0, 2) and (2, 4.5)
Then the slope is:
a = (4.5 - 2)/(2 - 0) = (2.5/2) = 1.25 = 5/4
Then our line can be written as:
y = (5/4)*x + b
To find the value of b, we can replace the values of any of the points in the equation, for example, i will use the point (0, 2) or x = 0, y = 2.
2 = (5/4)*0 + b
2 = b
Then our equation is:
y = (5/4)*x + 2.
Slope = 5/4
y-intercept = 2