Step-by-step explanation:
27 * 3 = 81
81 * 3 = 243
Each term is 3x the number before it. Therefore:
3 * 3 = 9
The missing number is 9.
Answer:
Step-by-step explanation:
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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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We have been given that a of sofa prices are normally distributed with a mean of 2500 dollars and a standard deviation of 200 dollars. A leather sofa has a price of 2410 dollars. We are asked to find the proportion of sofa prices that are higher than the price of the leather sofa.
First of all, we will find the z-score corresponding to sample score 2410.
Now we need to find area under normal curve that is greater than z-score of 
that is 
.
Using formula 
, we will get:
Now we will find area under curve using normal distribution table.
Upon rounding to 4 decimal places, we will get:
Therefore, approximately 0.6736 of sofa prices are higher than the price of the leather sofa.
Answer:
I think it would be: -10u - 6x 12
Step-by-step explanation:
(step 1) -2(5u - 3x-6) "First you need to times -2 by 5, 3 and -6"
that should give you -10u - 6x 12
