The following sinusoid is plotted below. Complete the following steps to model the curve using the cosine function.
1.What is the phase shift, h, of this curve?
2.What is the vertical shift, k, of this curve?
3.What is the amplitude, a, of this curve?
4.What is the period and the frequency factor, b, of this curve?
5.Write an equation using the cosine function that models this data set.
Answer:
A.) phase shift is h=6
B.) Vertical shift is 21 units down
C.) The amplitude is 5 from the midline at y= -21
D.) The period is 16 and the frequency factor is pi/8
E.) 5 cos(pi/8(x-6))-21
Step-by-step explanation:
Find your minimum and maximum values. This would help you find the amplitude and the vertical shift. To find amplitude, the formula is A= (absolute value) of the max minus the min and divide by 2. To find vertical shift, you add the max and min values and divide by 2. The period is the distance of the max and min values and then doubled. The distance was 8 units so the period was 16. To find frequency factor, just plug in your values. You know that the formula is Period= 2pi/b. So it would be 16= 2pi/b. The frequency factor should be pi/8 after you cross multiply and then divide. To write the equation, you substitute the values into the equation of acos(b(x-c))+d. Make sure to put parentheses or else the graph will look wrong.
If a shoe company has $1 million in fixed costs, its average shoe sells for $50 a pair, and variable costs are $30 per unit, how many units does the company need to sell to break even? (Show work)
Answer:
s
Step-by-step explanation:
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Which function defines the sequence 6,8,10,....?
(5 Points)
f(n)=2n+4
f(n)=3n+2
f(n)=6n
Answer:
f(n)=2n+4
Is the answer
Give the 10th term of the following sequence:
1, 4, 7. 10
Answer:
28
Step-by-step explanation:
Answer:
29
Step-by-step explanation:
3y + 7 - y = 5 + 2y + 2
Evaluate and reduce:
-
- 1+ ( 12 )
Enter the number that belongs in the
green box.
? ]
Answer:
Step-by-step explanation:
Taking LCM, =48
[tex]\frac{-12}{16}[/tex]× [tex]\frac{3}{3}[/tex] + [tex]\frac{11}{12}[/tex]×[tex]\frac{4}{4}[/tex]
=[tex]\frac{-36+44}{48}[/tex]
=8/48
=1/6
A fruit salad recipe calls for 3/4 pound of apples and 2/5 pound of dates. What is the least common denominator of the fractions?
(1 Point)
Answer:
20
Step-by-step explanation:
because 4x5 equals 20
Jesse fixed 40 desserts for a catering event.
Of these, 3/5 had chocolate. How many desserts did NOT have chocolate?
Answer: 16
Step-by-step explanation:
40 / 5 = 8 = 1/5 of 40
8 × 3 = 24 = 3/5 of 40
40 - 24 = 16
Find all solutions in the interval [0, 2π).
4 sin^2 x - 4 sin x + 1 = 0
Answer:
[tex]the \: solutions \: are : \\ x = 0 \\ x = 360[/tex]
Solve each system of equations algebraically. For each one, explain what the solution (or lack thereof) tells you
about the graph of the system.
Solve A and B
PLEASE HELP ASAP!!!
Answer:
a: no solutions
b: (2, 3)
Step-by-step explanation:
a:
In both equations, the slope of x is the same, but the y-intercept is not, which means they are parallel. Therefore, this system of equations has no solutions.
b:
Since both of the equations are equal to y, we can set them equal to each other:
[tex]\frac{1}{2}x^2+1= 2x-1\\x^2 + 2 = 4x - 2\\x^2-4x+4=0[/tex]
We can solve by factoring (by finding a number that multiplies to 4 and adds up to -4):
(x-2)^2 = 0
x = 2
Now, to find y, plug-in x to any of the equations:
y = 2*2-1 = 3
Therefore, the solution to this system of equation is (2, 3)
I hope this helped.
Samuel can type nearly 40 words per minute. Use this information to find the number of hours it would take him to type 2.9 × 105 words.
Samuel can type 2.9 × 105 words in
hours and
minutes.
Answer:
Samuel can type 40 words per minute
Step-by-step explanation:.
Then how many hours will it take for him to type 2.6 words times 10 to the power of five words
=> 2.6 words time 10 to the power of 5
=> 2.6 x 10^5
=> 2.6 x 100 000
=> 260 000 words in all.
Now, we need to find the number of words Samuel can type in a hour
=> 40 words / minutes , in 1 hour there are 60 minutes
=> 40 x 60
=> 2 400 words /hour
Now, let’s divide the total of words he need to type to the number of words he can type in an hour
=> 260 000 / 2 400
=> 108.33 hours.
If 125% of x is 225, what is the value of x?
Answer: 180
Step-by-step explanation: Try to find what 1% is, so do: 225/125, then you have 1%, now multiply that by 100 to find x. Your answer is 180.
There is a parade coming through town, the route is 2 miles long with 10 foot wide sidewalks along each side. If the crowd is approximately 5 people per 16 square feet, how many people are estimated to be watching?
66 000 people
Step-by-step explanation:Hi there !
1 mile = 5280 feet
2 miles = 2×5280ft = 10 560 feet
Area = 2(10560ft×10ft) = 2×105600ft² = 211200 ft²
How many people are estimated to be watching?16 ft² ................ 5 people
211200 ft².........x people
x = 211200×5/16
= 1056000/16
= 66 000 people
Good luck !
HELP ME, its due at 9pm
Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint. (Hint: Let(x,y) be the unknown endpoint. Apply the midpoint formula,
and solve the two equations for x and y)
midpoint (-24.18) endpoint (-19.10)
The other endpoint is
(Type an ordered pair
M = ( (x1 + x2) / 2 , (y1 + y2) / 2 )
(9, 0) = ( (x1 + 12) / 2 , (y1 + 3) / 2)
Break up this formula into two equations.
(x1 + 12) / 2 = 9 and (y1 + 3) / 2 = 0
Solve for x1 and y1 from the equations.
another way to explain it
the formula for finding the midpoint of a segment given the coordinates of its endpoints is:
((x1+ x2)/2, (y1 + y2)/2 {Average of the x coordinates, average of the y coordinates}.
For this problem we know the coordinates of the midpoint along with one of the endpoints.
So the x coordinate of the midpoint (9) must equal (12 + x2)/2.
That is: 9 = (12 + x2)/2 Solve for x2. Follow a similar pattern to find the y coordinate of the unknown endpoint.
and another way
The x's are 3 apart and the y's are 3 apart. The other endpoint is (9 - 3, 0 - 3), or (6,-3).
hope this helped you have a good day this was ez
Which fraction is equivalent to 2/6?
Answer:3/9
Step-by-step explanation: 2/6=1/3. And 1/3x3=3/9
What is the solution to the equation 5 (n- 1/10) = 1/2
Answer:
n = 0.2
Step-by-step explanation:
Apply the distributed property, so it now looks like this: 5n - 0.5 = 1/2Add 0.5 to each side, so it now looks like this: 5n = 1Divide each side by 5 to cancel out the 5 next to n. It should now look like this: n = 0.2I hope this helps!
Answer:
The answer isnt 0.2 for me it is eaither n=0, n=1/5, n=3/25, or n=13/5
Step-by-step explanation:
Pls help i dont understand :( will give Brainliest + 25 Points
A pump fills an empty pool at a rate of 500 cubic meters per hour. If one liter is equivalent to one cubic decimeter and 1 meter is equal to 10 decimeters, how many liters of water are in the pool half an hour after the pump starts?
If a liter equals a cubic decimeter and a meter equals ten decimeters, then 250,000 liters of water is filled in the pool in half an hour.
What is meant by cubic decimeter?1000 cubic centimeters make up one cubic decimeter. Repeating this procedure would allow us to translate between cubic centimeters and meters or between cubic decimeters and meters. We must keep in mind three conversions. 1000 cubic centimeters is equal to one cubic decimeter.
1 cubic meter = 1000 liters
because, 1 liter = 1 decimeter³
1 meter = 10 decimeters
1 decimeter= 0.1 meters
1 liter = 0.1³ meter³
1 m³ = 1000 liters
Given:
In 1 hour the amount of water filled = 500 cubic meters
In half an hour the amount of water filled = 250 cubic meters
= 250,000 liters.
Therefore, 250,000 liters of water exists filled in the pool in half an hour.
To learn more about cubic decimeter refer to:
https://brainly.com/question/536315
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Help me easy math problem
Answer:
15/36
Step-by-step explanation:
Answer:
51/39 then simplify
Step-by-step explanation:
I did it
how to rotate a triangle 90 dagrees clockwise?
Answer:
Turn it 90 degrees left or right, basically turn it left or right until it is sideways
Pls help i dont understand :( Will give brainliest + 25 Points!!
Answer:
Answer is A
Step-by-step explanation:
The slope of a line in an equation like this is the number right before x so if the slope must be -5/6 the the only sequence with that slop is A.
Answer:
A) y=-5/6+1
Step-by-step explanation:
You want to find the equation for a line that passes through the point (6,-4) and has a slope of -5/6.
First of all, remember what the equation of a line is:
y = mx+b
Where:
m is the slope, and
b is the y-intercept
To start, you know what m is; it's just the slope, which you said was -5/6. So you can right away fill in the equation for a line somewhat to read:
y=-5/6x+b.
Now, what about b, the y-intercept?
To find b, think about what your (x,y) point means:
(6,-4). When x of the line is 6, y of the line must be -4.
Because you said the line passes through this point, right?
Now, look at our line's equation so far: b is what we want, the -5/6 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specifically passes through the point (6,-4).
So, why not plug in for x the number 6 and for y the number -4? This will allow us to solve for b for the particular line that passes through the point you gave!.
(6,-4). y=mx+b or -4=-5/6 × 6+b, or solving for b: b=-4-(-5/6)(6). b=1.
The equation of the line that passes through the point (6,-4) with a slope of -5/6
is
y=-5/6x+1
The four in the hundred
thousands place is
the
value of the four in the millions
place
4,473,774
Answer:
1/10th of the value of the four in the millions place
might be wrong....
not sure.....
i can't delete my answer though so....
i apologize
Find the value of x.
Pls explain to me I’m lost
Answer:
idk but i can tell you another site if you still need help,
QUIZLET
Step-by-step explanation:
Answer:
x=17 degrees
Explanation:
Its the same angle as 17 degrees
A customer purchased a lawn mower for a total purchase price of $318.75. If the state has a sales tax rate of 7.75%, what was the selling price of the lawn mower
Answer:
$343.45
Step-by-step explanation:
$318.75 x 1.0775 = $343.45
or
$318.75 x 0.0775 = $24.70
$318.75 + $24.70 = $343.45
The selling price of the lawn mower is $343.45 if the customer purchased a lawn mower for a total purchase price of $318.75.
What is percentage?It is defined as the ratio of two numbers expressed in the fraction of 100 parts. It is the measure to compare two data, the % sign is used to express the percentage.
We have a customer purchased a lawn mower for a total purchase price of $318.75.
Sales tax rate = 7.75%
Sales tax amount = 7.75% of $318.75
Sales tax amount = $24.64 ≈ $24.70
Original price = 318.75 + $24.70 = $343.45
Thus, the selling price of the lawn mower is $343.45 if the customer purchased a lawn mower for a total purchase price of $318.75.
Learn more about the percentage here:
brainly.com/question/8011401
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$8000 is compounded semiannually at a rate of 7% for 20 years.
HARRY I NEED HELP FAST 15POINTS
Which expressions are quadratic expressions? Check all that apply
z^2
2x + 7x - 10
2x^2 + 9x - 7
500(0,25)^t -1
13x^3 + 21x^2-5
Answer:
First,Third Only
Step-by-step explanation:
Quadratic expression are those expression where the variable has a degree of maximum 2 and only the first and third expression have the degree of 2 in the choices. 2nd choice is a linear expression because both the variables have degree 1. 4th choice has a degree of t which means its an exponential expression, and 5th choice has the degree 2 and 3 but the maximum degree is 3 so it isn't a quadratic is a cubic equation.
Standard form of a quadratic expression
[tex]ax^2+bx+c[/tex]
Write the equation 4x + 2y - 6 = 0 in the slope-intercept form (y = mx + b).
Answer:
y= -2x+3
Step-by-step explanation:
First, you want to isolate the variable 2y on its own.
It would look like this: 2y= -4x+6
Then, divide every term by two.
It would look like this: y=-2x+3
Hope it helped.
Answer:
y= -2x+3
Step-by-step explanation:
Miss Sherman hired Michael to make balloon animals for the children who visited a carnival Michael was paid a base fee of $100 plus a fee of $1.50 per balloon animal made if Michael was paid $295 how many balloon animals did Michael make?
Answer:
130 balloons.
Step-by-step explanation:
295-100=195$
195÷1.50=130 balloons.
Which expression is equivalent to the given expression after using the distributive property? 9(x + 3) + 15x
9 · x + 9 · 3 + 9 · 15x
9(x + 3 + 15)x
9 · x + 3 + 15x
9 · x + 9 · 3 + 15x
Answer:
9 • x + 9 • 3 + 15x
Step-by-step explanation:
You have to divide 9 by each term inside the parenthesis. 15x isnt multiplied or added to anything else so it stays the same.
what is the value of the expression below (4 * 7) - [(10 * 2 ) - 1 ]
Answer:
9
Step-by-step explanation: