Hello!
The parent function of the graph of sin is y = sin(x).
Amplitude is the maximum displacement on the graph of a function.
Period is the displacement of x at which the graph of a function begins to repeat.
The period can be found by using the formula:
.
Since the amplitude is 3, the graph of sin is y = 3sin(x).
Given the period 2π, we can substitute this value into the given formula,
, to find B.
2π = 2π / B (multiply B to both sides)
2π · B = 2π (divide by 2π)
B = 1
Thus, the equation is y = 3sin(x). I'll post the graph as well.
As there are 81 tiles total, that makes your area 81. Being a square, that makes your area equation A=s^2. As you need a side, this makes your equation s=√A. Plugging in 81 as A, we get s=√81=9, so an edge has 9 tiles.
Answer:
a) response variable
Step-by-step explanation:
The response variable is the variable that depends on other variables such as the independent or explanatory variable, it is the variable that is being tested. The response variable is also called the dependent variable.
In linear regression, the y variable is referred to as the response variable while the x variable is referred to as the explanatory or independent variable.
In this case the y variable is "the number of times they cough in a day" and this variation depends on the x variable "number of cigarettes a person smokes in a day".
Answer:
Step-by-step explanation:
The estimate of the given subtraction operation is 27,000
<h3>Estimating the value of numbers </h3>
From the question, we are to estimate the value of given operation. The operation is a subtraction operation.
The given subtraction operation is,
46,214 - 18,941
First, we are to round each number to the nearest thousand.
Round 46,214 to the nearest thousand
46,214 ≈ 46,000
Also,
Round 18,941 to the nearest thousand
18,941 ≈ 19,000
Now, subtract
46,000 - 19,000 = 27,000
Hence, the estimate of the given subtraction operation is 27,000
Learn more on Estimating Numbers here: brainly.com/question/17178459
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