Answer:
Ratio is 9
Step-by-step explanation:
Common ratio can be obtained by dividing second term by first term, third term by second term etc
Therefore
99/11 = 9
891/99 = 9
The common ratio is 9
Answer:
F
Step-by-step explanation:
it's f
Answer:
Option A. 
Step-by-step explanation:
Let
y -----> the height of fudge brownies in centimeters
x ----> teaspoons of baking powder
step 1
Find the slope
The formula to calculate the slope between two points is equal to
take the points
(5,2.15) and (6,2.43)
substitute the values
step 2
Find the equation of the line in point slope form
we have
substitute
Isolate the variable y
Car 1. (40 kph):
40 kph = 40,000 km per hour
Car 2. (15 mps)
15 mps x 60 (to get one minute) = 900 mpm
900 meter per minute
900 x 60 = 54,000 km
Therefore, car 2 is faster since it drives at 54km per hour and car 1 only travels at 40km per hour.
Also, you decide which car you want to choose.
Hope this helps! Have a great day.
The equation of the sinusoidal function is y = -2sin(x + 1.5) - 3
<h3>The sinusoidal function</h3>
The minimum and the maximum of the function are
The amplitude (A) is calculated as:
A = 0.5 * (Maximum - Minimum)
So, we have:
A = 0.5 * (-5 + 1)
A = -2
The vertical shift (d) is calculated as:
d = 0.5 * (Maximum + Minimum)
So, we have:
d = 0.5 * (-5 - 1)
d = -3
The period (P) is calculated as:
P = 2π/B
From the graph,
B = 1
So, we have:
P = 2π/1
P = 2π
So, the amplitude is -2 and the period is 2π.
<h3>The equation of the sine function</h3>
In (a), we have:
A = -2
B = 1
d = -3
A sine function is represented as:
y = A sin(Bx + C) + D
So, we have:
y = -2sin(x + C) - 3
The graph passes through the point (0, -5)
So, we have
-5 = -2sin(0 + C) - 3
Solve for C, we have
C = 1.5
So, we have:
y = -2sin(x + 1.5) - 3
Hence, the equation of the sinusoidal function is y = -2sin(x + 1.5) - 3
Read more about sinusoidal function at
brainly.com/question/10700288
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