Answer: K= 12
A=10
P= 6
B=pi/3
Equation: y=10sin(pi/3(x))+12
Step-by-step explanation: You can find k by finding the midline, or adding the minimum and maximum y values together and then dividing by 2.
You find a by using the midline value (12) and subtracting it from the maximum y value to get the amplitude.
To find the period, find the difference between the min and max x values, which is 3, then double it to get the full period.
To find the b value, plug it into the 2pi/b=p equation, using the period value you found before you should get pi/3.
When assembling the equation use this format: y=asin[b(x-h)]+k.
You can also graph it with a graphing calculator to check to be sure the max and min points line up.
A sine function is represented as: [tex]\mathbf{y = A\sin(Bx) + k}[/tex]
The vertical shift is 12The amplitude is 10The period is 6, and the frequency factor is [tex]\mathbf{\frac{\pi}{3}}[/tex].The sine function is [tex]\mathbf{y = 10\sin(\frac{\pi}{3}x) + 12}[/tex]The given parameters are:
[tex]\mathbf{(x_1,y_1) = (4.5,2)}[/tex]
[tex]\mathbf{(x_2,y_2) = (1.5,22)}[/tex]
(a) The vertical shift (k)
The vertical shift is calculated using:
[tex]\mathbf{k = \frac{y_1 + y_2}{2}}[/tex]
So, we have:
[tex]\mathbf{k = \frac{2 + 22}{2}}[/tex]
[tex]\mathbf{k = \frac{24}{2}}[/tex]
[tex]\mathbf{k = 12}[/tex]
(b) The amplitude (A)
The amplitude is calculated using:
[tex]\mathbf{A = \frac{y_2 - y_1}{2}}[/tex]
So, we have:
[tex]\mathbf{A = \frac{22 - 2}{2}}[/tex]
[tex]\mathbf{A = \frac{20}{2}}[/tex]
[tex]\mathbf{A = 10}[/tex]
(c) The period (p) and the frequency factor (b)
The period is calculated using:
[tex]\mathbf{p = x_1 + x_2}[/tex]
So, we have:
[tex]\mathbf{p = 4.5 + 1.5}[/tex]
[tex]\mathbf{p = 6}[/tex]
The frequency factor (b) is calculated using:
[tex]\mathbf{b = \frac{2\pi}{p}}[/tex]
So, we have:
[tex]\mathbf{b = \frac{2\pi}{6}}[/tex]
[tex]\mathbf{b = \frac{\pi}{3}}[/tex]
(d) The equation of the sine function
A sine function is represented as:
[tex]\mathbf{y = A\sin(Bx) + k}[/tex]
So, we have:
[tex]\mathbf{y = 10\sin(\frac{\pi}{3}x) + 12}[/tex]
Read more about sine functions at:
https://brainly.com/question/1368748
5 times 10^8 - 3 times 10^6=? In scientific notation
Answer:
4.99999985 × 10 x14
Step-by-step explanation:
-3+(-2)=
2+(-6)=
Can someone answer??
Answer:
1 ) -52 ) -4Step-by-step explanation:
( If you don't believe me, then check the calculator ;)
Hope this helps! <3
Rewrite the equation C = 1.77q + 47,738 as a function of q.
Please help me quickly
Answer:
f(q)=1.77q+47,738
Step-by-step explanation:
hurry!
You work at a campus book store and a customer needs a textbook that you do not have in stock. You can order the textbook from Campus Corner for $129.95, prior to a rebate of $9.00. Books R Us sells the same textbook for $145.00, prior to a discount of 15%. What is the percent difference in the final cost of the two items?
O 0.018%
O 0.019%
O 1.87%
O 1.90%
O 2.10%
Answer:
.187
Step-by-step explanation:
Compute the answers for this fish tank containing water.
Compute the mass of water filling this tank.
0.25 g
20 g
250 g
Answer:
Option (3)
Step-by-step explanation:
Since density on an element = [tex]\frac{\text{Mass}}{\text{Volume}}[/tex]
Volume of the water in the aquarium = volume of the aquarium
= Length × width × height
= 10 × 5 × 5
= 250 cm³
We know density of the water = 1 gram per cm³
By putting these values in the formula,
1 = [tex]\frac{\text{Mass}}{250}[/tex]
Mass = 250 g
Therefore, Option (3) will be the answer.
its economics
Which describes a type of tax that funds city programs? Oprogressive tax federal income tax Olocal income taax Omedicare tax
Answer:
local income tax
Explanation:
The "local income tax" refers to the tax levied to people who are residing or working in a specific local area. This is the tax being used to fund the city programs that will help improve the community.
Such programs include the development of parks in the area, including landscape beautification or enhancement of the public markets, improvement of public schools, etc.
Local income tax may appear as a "withholding tax" in some situations. In this case, it is automatically being withheld from the wage of a worker.
what is the square footage of a ploygon that is 120 x 100?
Answer:
12000
Step-by-step explanation:
Which of the following statements are true?
Choose all answers that apply:
Based on the equation of the line, the true statements are:
The slope of the line is 2.5.A change of 2 units in x results in a change of 5 units in y.Why are these true?The formula of the line from the original question is y = 2.5x.
The equation of a line is given as:
y = mx + c
M in the above equation is the slope of the line. In the above line, the format is:
y = 2.5x
Even though c is not present, m is present as 2.5 which makes it the slope of the line.
A change in 2 units in x would be:
= 2 x 2.5
= 5 units in y
Find out more on the equation for a straight line at https://brainly.com/question/17130521.
i need the answer to angle B
PLEASE SOMEONE HELP ME ITS DUE RIGHT NOW! PLEAse its really fast and easy
Answer:
a. incorrect, the first step would have been to distribute the 2.
b. incorrect, it would be, -12x +x + 9-8 +5
c. correct, the distribution is correct
Step-by-step explanation:
Just remember PEMDAS.
Perentheses, Exponents, Multipication, Division, Addition, Subtraction
i really hope this helps, i'm sorry if it isn't correct
Erik has 8 sacks of flour. Some of his sacks weigh
3 pounds, and the others weigh 7 pounds. The total weight
of his flour is 36 pounds. How many 7-pound sacks does
he have?
Answer:
You take the two and make the equations
x+y=8
3x+7y=36
(x=3 pounds;y=7 pounds)
then you plug numbers in.. (v)
Step-by-step explanation:
3(5)+7(3)=36
15+21=36
So you have 5, 3 pound sacks, and 3, 7 pound sacks <--ANSWERAnswer:
Step-by-step explanation: 3 seven pound bags and 5 three pound bags
7+7+7=21. 3+3+3+3+3=15. 21+15=36
Is the difference between a rational number and an irrational number always an irrational number ?
Answer: Of course!
Step-by-step explanation: I will suck at explaining this. Here's the general idea: A rational number is a number that is the quotient of two integers, or whole numbers. Rational numbers are things like 2, 5, 6, 2.5, 2.25, 6.53465, 1.666666666666666666666666666667; you get the idea. The point is, it can be represented by the fraction of two integers. An irrational number is something that cannot be represented this way. It's the same thing with multiplying an even number by an odd number; it'll always be odd, regardless of what the odd number is. Same with odd - even; it'll always be odd. Point being, there is no rational number that can be subtracted by an irrational number and be rational, or an irrational number that is subtracted by a rational number.
Answer ASAP please, i got stuck with this question and I need to know how to answer it
Answer:
I think the answer is 2555
Step-by-step explanation:
2/3=1022n
Cross multiply...
2n = 3066
= 1533
1022 + 1533 = 2555
Write the equation of a line perpendicular to y=3x+5 and passes through the point (1,7).
Answer:
y = -3x + 10
Step-by-step explanation:
The slope of perpendicular line is the opposite and reciprocal of the original line.
3 -> -3
Find the new y-intercept.
y = -3x + b
7 = -3(1) + b
7 = -3 + b
10 = b
y = -3x + 10
Best of Luck!
hElp again for the last time if i dont get it wrong ;-;
Answer:
45%
Step-by-step explanation:
45 out of 100 blocks are shaded.
<3
Each year, roughly 10^6 computer programmers each make $10^5. How much money is this all together? Express your answer both as a power of 10 and as a dollar amount.
Given parameters:
Amount made by each computer programmer = $10⁵
Number of computer programmers = 10⁶
Problem;
How much money is this all together = ?
Solution:
The total money can be found using;
= Amount made by each programmer x number of programmers
= $10⁵ x 10⁶
= $10¹¹
As a power of ten, the amount made is $10¹¹
In dollar amount = $100,000,000,000
Answer:
Step-by-step explanation:
Lines a,b,c and d intersect as shown. What it x
Answer: x= 124 b/c angle x is congruent to angle 124 on line c
y=88 b/c the total area os a triangle equal to 180 so you just add 53+39= 92 and then you subtract 92 from 180 and you get 88
z=92 b/c you’re given linear pairs so 180-88=92
Step-by-step explanation:
What is the area of a triangle with verticals at (
-4, 1) (-7, 5) and (0, 1)
Answer: 44
Step-by-step explanation: Because I’m in collage
please help me <3 uwu
Answer:
D or the Last one
Step-by-step explanation:
because the equation equals that and it is a perfect square method because the middle term is not canceled out. Hope this helps!
A battery was charged. When the charging began, it was 232323 percent full. After 303030 minutes of charging, the battery was 898989 percent full. How long did it take the battery to be fully charged?
Answer:
1,172 minutes
Step-by-step explanation:
Answer:
35 minutes
Step-by-step explanation:
Let's say that the percentage of the battery's capacity that is charged increases by VVV percent each minute. Then, it increases by V\cdot TV⋅TV, dot, T percent in TTT minutes. In addition, we know that when the charging began, the battery was 232323 percent full.
The percentage of the battery's capacity that was charged at any given time is found by taking the percentage the battery was already charged when the charging began and adding to it the percentage that was additionally charged since then. We can express this with the equation C=23+V\cdot TC=23+V⋅TC, equals, 23, plus, V, dot, T, where:
CCC represents the percentage of the battery's capacity that is charged at a given time
VVV represents the charging rate (in percent per minute)
TTT represents the time (in minutes)
Hint #22 / 4
We know that after 303030 minutes (T=\blue{30})(T=30)left parenthesis, T, equals, start color #6495ed, 30, end color #6495ed, right parenthesis, the battery was 898989 percent full (C=\pink{89})(C=89)left parenthesis, C, equals, start color #ff00af, 89, end color #ff00af, right parenthesis. Let's plug these values into the equation to find the value of VVV.
\qquad \begin{aligned}\pink{89}&=23+V\cdot\blue{30}\\ 30V&=66\\ V&=2.2\end{aligned}
89
30V
V
=23+V⋅30
=66
=2.2
Therefore, the battery was charged at a rate of 2.22.22, point, 2 percent per minute.
Hint #33 / 4
To find how long it took the battery to be fully charged, we can plug C=100C=100C, equals, 100 into the equation and solve for TTT.
\qquad\begin{aligned}100&=23+2.2T\\ 2.2T&=77\\ T&=35\end{aligned}
100
2.2T
T
=23+2.2T
=77
=35
Hint #44 / 4
The battery was charged at a rate of 2.22.22, point, 2 percent per minute.
It took the battery 353535 minutes to be fully charged.
my sis wants to know this 0.5 is 1/100 of ?
Answer:
This would be 50/100
or the simplified version would be 1/2
Step-by-step explanation:
Hope this helps!
Step-by-step explanation:
one by two.............
I need help ASAP! Due Tomorrow !!!
1. In the equation y = 2x, what would be the C.O.P ?
2. A graph has the points (2,6) ; (3,9) ; and (5,15)
What is the equation of the graph?
9514 1404 393
Answer:
the contant of proportionality is 2y = 3xStep-by-step explanation:
1. Match the given equation (y = 2x) to the pattern ...
y = kx . . . . . k is the constant of proportionality
Hopefully, you can see that k corresponds to 2. That is, the coefficient of x is the constant of proportionality. It is 2.
__
2. Since you're studying proportions, it is useful to look at the ratio of the y-value to the x-value. In each case, it is 6/2 = 9/3 = 15/5 = 3. Then the graph shows the variables are proportional, with a constant of proportionality of 3.
y = 3x
i need help with geometry
hope it helps you and plz mark me brilliantest
Step-by-step explanation:
m<2
You can buy the chicken wing special for $8.60 plus $0.75 for each additional wing
A) Write the linear function that will model this
Answer:
$8.60 + $0.75x
Step-by-step explanation:
the "x" is the variable. change it into any letter you want.
If you need more help comment.
I HAVE 5 MINUTES PLEASE HELP (15 points)
Answer:
y= -1/2x
Step-by-step explanation:
It is A
Please, for me? I need to pass my math class.
Noah and Diego left the amusement park’s ticket booth at the same time. Each moved at a constant speed toward his favorite ride. After 8 seconds, Noah was 17 meters from the ticket booth, and Diego was 43 meters away from the ticket booth.
Q: Which line represents the distance traveled by Noah the blue line or the black line?
Answer: Black
Step-by-step explanation: I feel like the higher the line is on the graph, the farther they have moved, so since the black line is the lowest, it might be Noah.
Hope this helps!
Which graph represents a line with a slope of - į and a y-intercept equal to that of the line y = = x-27
ТУ
Answer:
Step-by-step explanation:
Let the equation of the line is,
y = mx + b
Where m = slope of the line
b = y-intercept
Slope of the line 'm' = -[tex]\frac{2}{3}[/tex]
y-intercept 'b' of the line is equal to the y-intercept of another line given as,
[tex]y=\frac{2}{3}x-2[/tex]
Here y-intercept of the line 'b' = -2
Therefore, the equation of the line will be,
y = (-[tex]\frac{2}{3}[/tex])x + (-2)
[tex]y=-\frac{2}{3}x-2[/tex]
Here negative slope represents a line which is decreasing having y-intercept = -2
Therefore, last graph (bottom) given in the picture will be the answer.
Answer:
the last graph
Step-by-step explanation:
trust me i got it right on edge2020
A gardener plants roses and carnations in the areas shown in the model below.
A model with 4 rows of 4 squares, representing 16 acres of roses, and 4 rows of 3 squares, representing 12 acres of carnations.
What value correctly fills in the blank in the equation 16 + 12 = 4 x (blank + 3) to show the sum of the two areas of flowers?
2
3
4
8
Answer: 4
Step-by-step explanation: 3 + 4 = 7 and 4 x 7 is 28. If you're 16 and 12 you also get 28
Answer:
answer is C
answer is 4
Step-by-step explanation:
What value correctly fills in the blank in the equation 16 + 12 = 4 x (blank + 3) to show the sum of the two areas of flowers?answer is 4
(Brainlest) (Points) Your friend is trying to make an equivalent ratio to 5/10. Please explain to your friend how they can make an equivalent ratio to 5/10.
( E X P L A I N )
Answer:
Multiply both parts of the ratio by any number.It'll always be equivalent.Hope this helps!
Answer:
Because it is like a fraction 5/10 would mean 5 so hope that helped
Step-by-step explanation:
A certain number plus five is equal to double the number
plus twelve. Write the equation and find the certain number,
Answer:n+5=2n+12, n=-7
Step-by-step explanation: