Answer:
2÷2=1
Step-by-step explanation:
That's the answer
Answer:
2÷2=1
Step-by-step explanation:
2 divides by 2 = 1
that's the answer
a. Find the amplitude.
b. Find the period.
c. Find the vertical shift.
d. Find the horizontal shift.
e. Find the number of cycles between 0 and 2π.
f. Find the equation of the graph.
You must show all of your work to receive credit.
Answers:
a) Amplitude = 2b) Period = pic) Vertical shift = -2, which means it has been shifted down 2 units.d) Horizontal shift = 3pi/8, this shifting is to the right.e) There is one cycle between 0 and 2pi.f) The equation of the graph is y = 2*sin(2(x-3pi/8))-2========================================================
Explanations:
Part (a)
The highest point is when y = 0 and the lowest point is when y = -4. The vertical distance between the peak and valley is 4 units, which cuts in half to 2. This is the amplitude. It's the vertical distance from the center to either the peak or valley.
Note: Amplitude is always positive as it measures a distance.
---------------------
Part (b)
For x > 0, the first valley or lowest point occurs between 0 and pi/4. It appears to be the midpoint of the two values. So that would be (0+pi/4)/2 = pi/8.
The next valley occurs between pi and 5pi/4. Compute the midpoint to get (pi+5pi/4)/2 = (4pi/4+5pi/4)/2 = (9pi/4)/2 = 9pi/8
So we have the graph go from one valley x = pi/8 to the next valley over x = 9pi/8. This is a distance of pi units because 9pi/8-pi/8 = 8pi/8 = pi
The graph repeats itself every pi units, so the period is pi.
---------------------
Part (c)
The midline is normally through y = 0, aka the x axis. However, the graph shows the midline is through y = -2. This means the graph has been shifted down 2 units.
---------------------
Part (d)
This will depend on whether you use sine or cosine. This is entirely because cosine is a phase-shifted version of sine, and vice versa. I'll go with sine.
The parent sine function y = sin(x) goes through the origin (0,0)
However, as part (c) mentioned, we shifted the graph 2 units down. So we have y = sin(x)-2. But plugging x = 0 into this leads to the point (0,-2)
This doesn't match what the graph says. The graph shows the point (3pi/8, -2) on the red curve. The x coordinate 3pi/8 is the midpoint of pi/4 and pi/2
This must mean we need to shift the sine graph 3pi/8 units to the right.
---------------------
Part (e)
Start at the lowest point when x = pi/8. If you start the cycle here, then it ends when x = 9pi/8. See part (b).
So far we've completed one cycle. If we start at x = 9pi/8, then the next valley or lowest point is slightly beyond or to the right of x = 2pi. This means we run out of room and we haven't completed a full cycle.
Overall, one full cycle is between 0 and 2pi.
---------------------
Part (f)
Again I'm going to use sine instead of cosine. Refer back to part (d).
The general sine curve equation is
y = A*sin(B(x-C))+D
where
|A| = amplitudeB handles the period, specifically T = 2pi/B where T is the period. We can solve for B to get B = 2pi/TC = horizontal phase shiftD = vertical shift, and ties together with the midline equationIn this case, we found that
|A| = 2T = pi leads to B = 2pi/T = 2pi/pi = 2C = 3pi/8D = -2So,
y = A*sin(B(x-C))+D
will update to
y = 2*sin(2(x-3pi/8))-2
which is one way to express the equation of the red curve. Optionally you can distribute the 2 through to (x-3pi/8).
Can y’all please help me because my teacher assign a lot of work
Answer: okay just try your best to do it
Step-by-step explanation:
Got it?
30% of what distance is 5.8 mi?
Answer: 1.74 mi
Step-by-step explanation:
30% = 0.3
5.8 × 0.3 = 1.74
find the value of x and y
Answer: y is 40 x is 60
Step-by-step explanation:
Answer:
x=40 and y =5
Step-by-step explanation:
can you help me with this
Answer:
C.
Step-by-step explanation:
HELP!!
ASAP
Worth 10 points
Answer:
integers
Step-by-step explanation:
they wouldnt be whole numbers because there are opposites involved, but they wouldnt be just classified as rational because they have the requirements to be classified as integers
I have 2 dice. If I roll both dice, what is the probability of rolling a 5 and then an even number
Answer:
1/6 and 1/2 or 3/6
Step-by-step explanation:
there's a 1 in 6 chance that u would roll a 5 but there's a higher chance of getting an even number as 3 out of 5 of those numbers are even so that would be 3/6 or simplify to 1/2
OH MY GOD HELPPPPPPPPPPPPPP
Answer:
? = -36
Step-by-step explanation:
When you raise an exponent to an exponent, the resulting power is a product of the two exponents.
For this problem, you can solve for the missing value by writing:
[tex]?*1/3=-12[/tex]
Divide both sides by 1/3 to isolate the missing value.
[tex]?=\frac{-12}{1/3}[/tex]
Solve for ?.
[tex]?=-36[/tex]
What is the equation of the line that passes through the point (-2, -8) and
has a slope of 3?
Answer:
y = 3x - 8
Step-by-step explanation:
Is the relation a function?
{(-2, 1), (-8, 9), (9,-8)}
A. Yes
OB. No
Answer:
Yes it is.
Step-by-step explanation:
True or False, The value pi/12 is a solution for the equation 4 cos^2(4x)-3=0
Please explain
Answer:
Yes, π/12 is a solution.
Step-by-step explanation:
Calculator --> sin(π12)=sin15∘=0.26 . √2−√32=√0.272=0.522=0.26 . Uhmm... i dont rlly know how to explain it.. its complicated for me to word it without making it non confusing.
The statement 'The value [tex]\frac{\pi}{12}[/tex] is a solution for the equation [tex]4~cos^2(4x)-3=0[/tex] ' is True.
What is an equation?"It is a mathematical statement which consists of equal symbol between two algebraic expressions."
For given question,
We have been given an equation [tex]4~cos^2(4x)-3=0[/tex]
We need to check whether [tex]\frac{\pi}{12}[/tex] is a solution for the equation.
Substitute [tex]x=\frac{\pi}{12}[/tex] in equation [tex]4~cos^2(4x)-3=0[/tex]
[tex]\Rightarrow 4~cos^2(4\frac{\pi}{12} )-3=0\\\\\Rightarrow 4~cos^2(\frac{\pi}{3} )-3=0\\\\\Rightarrow 4~cos^2(\frac{\sqrt{3} }{4} )-3=0\\\\\Rightarrow 4~\frac{3}{4}-3=0\\\\ \Rightarrow 3-3=0\\\\\Rightarrow 0=0[/tex]
This means, [tex]\frac{\pi}{12}[/tex] is a solution of the equation [tex]4~cos^2(4x)-3=0[/tex]
Therefore, the statement 'The value [tex]\frac{\pi}{12}[/tex] is a solution for the equation [tex]4~cos^2(4x)-3=0[/tex] ' is True.
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Simplify. Write in Standard Form. 10a(-6a²+2a-7)
Answer:
10a (-6a²+2a-7)open the brackets-60a³+20a²-70adivide all the term by 10-6a³ +2a²-7a(simplified answer)what is the ordered pair to y=7x-2
Im StUcK HeLp Me
-1 (4x + 2y)
Answer:
-4x - 2y
Step-by-step explanation:
Hope it works
Answer:
Step-by-step explanation:
−1(4x+2y)
=(−1)(4x+2y)
=(−1)(4x)+(−1)(2y)
=−4x−2y
Hope this helps u out
will got 17 out of 25 questions correct on his driving test what percent correct did he get on the test?
Answer:
68%
Step-by-step explanation:
[tex]\frac{17}{25} = \frac{68}{100}[/tex] [tex]\frac{68}{100}[/tex] = 68%I hope this helps!
12-(x-3)=8
what is the value of x
Answer: 7
Step-by-step explanation: First distribute the subtraction sign (negative one) to x and -3. Now we have 12 -1x + 3 = 8. Now combine 12 and 3 then subtract 15 from both sides to get -1x = -7. Now divide both sides by -1 to get x = 7.
Hope this helps!
Answer:
Step-by-step explanation:
12-(x-3) =8
12 -x +3 = 8
15 - x = 8
- 15. -15
-x = -7
x = 7
Write an equation that passes through (0, 20) and (4, 80) ??
Answer:
M= 15
Step-by-step explanation:
Hope it’s right
please helpp!
right answer only please
Answer:
Slope
Step-by-step explanation:
Slope= Change in y/ Change in x
What is the simplified expression in the box by combing like terms and removing zero pairs?
-4 ( 2x+ 4) + 5
9514 1404 393
Answer:
-8x -11
Step-by-step explanation:
Use the distributive property to eliminate parentheses. Then combine the constant terms.
-4(2x +4) +5
= -8x -16 +5
= -8x -11
[tex]\sf \longmapsto-4 ( 2x+ 4) + 5[/tex]
[tex]\sf \longmapsto(−4)(2x)+(−4)(4)+5[/tex]
[tex]\sf \longmapsto−8x+−16+5[/tex]
[tex]\sf \longmapsto(−8x)+(−16+5)[/tex]
[tex]\sf \longmapsto−8x+−11[/tex]
[tex]\sf \longmapsto - 8x - 11[/tex]
Please help me answer this
Answer: 7/8
10-2/12-4= 7/8
Step-by-step explanation:
Answer:
the answer might be number 3
Jessica borrows $1500 at 7% simple interest per week. If she ends up owing $2235, how may weeks did it take her to pay back the loan?
a. 6
b. 7
c. 8
d. 9
e. 10
Answer:
7 Weeks
Step-by-step explanation:
Each week is 105 because 1500*.07=105
Then through the process of elimination I found it would take 7 weeks.
A fitness club charges its members a one time fee of 40$ and a monthly rate of 25$ what is this in q expression
Identify the slope and y-intercept. If the equation is in standard form, you may need to switch it to slope-intercept form. Sketch the graph of each line.
4x + 3y = -9
You are running in a 26-mile race.
You have run 17 miles so far.
What is the ratio of the miles you have left to the total number of miles in the race?
Answer:
17:26
Step-by-step explanation:
You can't simplify 17 therefore it would be 17:26 ratio.
I hope this helps! Please give me brainllest!
never mind i forfeit
Bro what happened my brainliest is gone
72% of 350 friends
its a percent math thingy. HELP PLS!
Answer:
252
Step-by-step explanation:
72% of 350 =
= 0.72 * 350
= 252
If x=69°
Work out the value of angle y.
(15 points if correct)
Step-by-step explanation:
The angles 111° and y° are co-interior angles/C-angles.
Hence they are supplementary.
=> 111° + y° = 180°, y = 69.
Which term could be put in the blank to create a fully simplified polynomial written in standard form?
8x3y2−_____+3xy2−4y3
Answer: It’s A on edge
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
on edge 2021. so sorry i don’t have a better explanation
Given a triangle ABC has angles of A = 30 and B = 70, what is the smallest side?
Answer:
A=30 is the smallest side
Step-by-step explanation:
A+B+C= 180
30+70+C=180
100+C=180
C=180-100
C=80
Therefore, A=30 is the smallest side of the triangle...
Brainliest to right answer
The dance committee at Jefferson High School decides to charge students different prices for dance tickets depending on whether they are a student at Jefferson or at another school. A student attending Jefferson pays $5, whereas a student attending a different school pays $10. The dance committee didn't make different kinds of tickets, and they lost track of how many of each kind of ticket they sold. They know they sold a total of 500 tickets and they brought in $3,135. How many Jefferson and non-Jefferson students came to the dance?
Answer:
30
Step-by-step explanation:
The number of Jefferson students and the number of non-Jefferson students if A student attending Jefferson pays $5, A student attending a different school pays $10 is 373 and 127 respectively.
What is the equation?Equation: A declaration that two expressions with variables or integers are equal. In essence, equations are questions and attempts to systematically identify the solutions to these questions have been the driving forces behind the creation of mathematics.
Given:
A student attending Jefferson pays $5,
A student attending a different school pays $10,
The total number of tickets = 500,
The total money earned = $3135,
Write the equation of the given statement as shown below,
x + y = 500
5x + 10y = 3135
Here, x is the number of Jefferson students and y is the number of non-Jefferson students,
Solve the equation by elimination method as shown below,
y = 127,
x = 500 - 127 = 373
Thus, the number of Jefferson students is 373 and the number of non-Jefferson students is 127.
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