Answers
Answer:
The function that could be the function described is;
[tex]f(x) = -10 \cdot cos \left (\dfrac{2 \cdot \pi }{3} \cdot x \right ) + 10[/tex]
Step-by-step explanation:
The given parameters of the cosine function are;
The period of the cosine function = 3
The maximum value of the cosine function = 20
The minimum value of the cosine function = 0
The general form of the cosine function is presented as follows;
y = A·cos(ω·x - ∅) + k
Where;
[tex]\left | A \right |[/tex] = The amplitude = Constant
The period, T = 2·π/ω
The phase shift, = ∅/ω
k = The vertical translation = Constant
Therefore, by comparison, we have;
T = 3 = 2·π/ω
∴ ω = 2·π/3
The range of value of the cosine of an angle are;
-1 ≤ cos(θ) ≤ 1
Therefore, when A = 10, cos(ω·x - ∅) = 1 (maximum value of cos(θ)) and k = 10, we have;
y = A × cos(ω·x - ∅) + k
y = 10 × 1 + 10 = 20 = The maximum value of the function
Similarly, when A = 10, cos(ω·x - ∅) = -1 (minimum value of cos(θ)) and k = 10, we get;
y = 10 × -1 + 10 = 0 = The minimum value of the function
Given that the function is a reflection of the parent function, we can have;
A = -10, cos(ω·x - ∅) = -1 (minimum value of cos(θ)) and k = 10, to get;
y = -10 × -1 + 10 = 20 = The maximum value of the function
Similarly, for cos(ω·x - ∅) = 1 we get;
y = -10 × 1 + 10 = 0 = The minimum value of the function
Therefore, the likely values of the function are therefore;
A = -10, k = 10
The function is therefore presented as follows;
y = -10 × cos(2·π/3·x) + 10
Related Questions
the problem.
2/3+1/3+5/3=
Answers
Hope this helps you.
please answer if possible
Answers
Answer:
[tex]A[/tex] ≈ [tex]127.39[/tex] [tex]ft^{2}[/tex]
Step-by-step explanation:
[tex]A = a^{2}+2a\sqrt{\frac{a^{2}}{4}+h^{2} }[/tex]
a (base edge) = 6
h (height) = 7
Which equation is equivalent to StartRoot x squared + 81 EndRoot = x + 10? x + 9 = x + 10 x + 9 = x2 + 20x + 100 x2 + 81 = x2 + 100 x2 + 81 = x2 + 20x + 100
Answers
Answer:
D on edge
Step-by-step explanation:
I got several quiz checks
Answer:
D) x2 + 81 = x2 + 20x + 100
Step-by-step explanation:
find the volume of a rectangular block of ice 2 feet by 3 and 1/2 feet by 1 and 1/2 feet the volume of the rectangular block of ice is what simplify your answer please
Answers
Answer:
V = 10 1/2 ft³
Step-by-step explanation:
V = length • width • height
V = 2 • 3 1/2 • 1 1/2
V = 10 1/2 ft³
Select all of the values of n that satisfy the equation n2 = 64.
A.
n = –8
B.
n = –32
C.
n=(64−−√)
D.
n=(64−−√)2
E.
n = 8
F.
n = 32
Answers
Drag the tiles to the correct boxes to complete the pairs.
Match each radius or diameter of a circle with its approximate circumference.
Tiles
Answers
Answer:
36
3
5
12
Step-by-step explanation:
The circumfrence of a circle is as follows
2πr
For this question π=3.14
So we have
113.04=2πr
solve for r
r= 18
which means that diameter is 36
Just do the same thing with the other questions
18.84=2πr
r=3
31.4=2πr
r=5
37.68=2πr
r=6 which means that the diamater is 12
50/20 equals 20 over X
Answers
Answer:
50/x
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
cross multiply:
50*x = 20*20
50x=400
divide by x (50)
50x/50 = 400/50
x=8
Applications Day #1:
es. Commi
ana
1.
A salesman earns a commission of 18% of all sales he makes at the car dealership. If he sells $250,000
worth of cars in a week, what will his commission be for the week?
Answers
Tony needs one gallon of orange juice to make punch for a party. Gallons of orange juice cost $3.99 each. Quarts of orange juice
cost $1.25 each. Pints of orange juice cost $0.65 each. Cups of orange juice cost $0.20 each. Which of these is the best buy for a
gallon?
A-the cups
B-the pints
C-the quarts
D-the gallon
Answers
Answer
C because 2 quarts make's one gallon
Step-by-step explanation:
10. A jar contains dimes and quarters. There are 15 more quarters than dimes. The coins total $23. How many
of each coin is in the jar?
What is this question asking you?
Dimes
Quarters
Number of Dimes:
Number of Quarters:
Answers
Answer:
dimes:$8 quarters:$15
Step-by-step explanation:
im still in 6th grade
Answer:
55 dimes and 70 quarters
Step-by-step explanation:
Using a simple strategy of guess and check we know that the quarters will always be 15 more than dimes. From this we know it has to be around the 50s as 40s would bring us numbers too low and 60s too high. 55 happens to be answer for dimes as that brings in $5.50. 23-5.5=17.5 multiply that by 4 as each quarter is only valued at $0.25 you get the answer 70 which just so happens to meet the requirements of being 15 more than 55.
Someone help with this please
Answers
HELP AND WILL GIVE BRAINLIEST!!! Solve for x
Answers
Answer:
22
Step-by-step explanation:
yevdywjebecgeh3bebebv3hruejjd÷×+jfur
anton needs to buy 3.5 meters of cloth for their project in TLE. If 1 meter of cloth costs P35.00 how much will he spend for 3.5 meters of cloth?
Answers
Answer:
122.5
Step-by-step explanation:
Yesterday, a parking lot had 60 cars parked in it. Of the cars parked in the parking lot, 40% were silver, 14 were red, and the rest were blue. How many of the cars were blue?
A. 24 cars
B. 38 cars
C. 22 cars
D. 6 cars
Answers
Answer:
C. 22 Cars are Blue
Answer:
22
Step-by-step explanation:
no:of silver cars=60*40/100 ie 24
no:of red cars ie 14
total cars=silver+red+blue
60=24+14+blue
60=38+blue
blue cars=60-38
ie 22
Decide whether each of the following pairs of expressions are equivalent for all values of x. If they are equivalent, show how you can be sure. If they are not, justify your reasoning completely.
a. (x - 5)(2x + 7) and 2x^2 - 3x - 35
b. 3(x - 2)^2 + 6 and 3x² + 18
Answers
A circle has a radius of 4in. What is the area of the circle?
Answers
Answer:
the area is 50.27
Step-by-step explanation:
Use the formula and you can get the answer A=πr2
Answer: 50.27
Step-by-step explanation:
what is x if 10/10+x = 35/56
x=?
Answers
Answer:
x = [tex]-\frac{3}{8}[/tex]
Step-by-step explanation:
Answer:
your answer is -3/8 or in decimal form its -0.375
Step-by-step explanation:
Lauren ran the 400-meter dash in fifty-three and ten hundredths seconds. How
should this decimal be written correctly?
A: . 5310
B: 53.10
C: 53.01
Answers
Answer:
B
Step-by-step explanation:
Im not quite sure but i think it is b i hopeitcan help you!
identify the diameter of Q given that a= 169 pie in2
Answers
Answer:
the diameter will be D=26 in.
Step-by-step explanation:
The area of a circle is given by:
[tex]A=\pi R^{2}[/tex] (1)
Where:
A is the areaR is the radius of the circleNow, we know that A = 169 π in²
So, we just need to use equation 1 to find R.
[tex]169\pi = \pi R^{2}[/tex]
[tex]R=\sqrt{169}[/tex]
[tex]R=13 \: in[/tex]
Therefore, the diameter will be D=2*R=26 in.
I hope it helps you!
The diameter of the circle is 26 inches
The area of the circle is given as:
[tex]A = 169\pi[/tex]
The area of a circle is calculated as:
[tex]A = \pi r^2[/tex]
By comparison, we have:
[tex]\pi r^2 = 169\pi[/tex]
Divide both sides of the equation by pi
[tex]r^2 = 169[/tex]
Take the positive square roots of both sides
[tex]r = 13[/tex]
Multiply by 2, to calculate the diameter
[tex]d =2 * 13[/tex]
[tex]d = 26[/tex]
Hence, the diameter of the circle is 26 inches
Read more about diameter at:
https://brainly.com/question/15673093
math work please help wioth my math
Answers
Answer:
Figure A is scalene and probably obtuse.
Figure B is scalene and right.
Figure C is equilateral and acute.
Figure D is isosceles and right.
Figure E is isosceles and acute.
I am so sorry if I did a few wrong, I'm in Middle-School so I don't know much. I hope I get everything correct!
Answer: Figure A is scalene and probably obtuse.
Figure B is scalene and right.
Figure C is equilateral and acute.
Figure D is isosceles and right.
Figure E is isosceles and acute.
Step-by-step explanation:
HELP ME PLEASE!!!ITS DUE TODAY!!IF YOU DO NOT KNOW DONT ANSWER PLEASE!!!;(
Answers
Step-by-step explanation:
When dealing with graphs, involving points in between numbers, we have to carefully look at the x and y axis.
On the graph, the y-axis is going by 2s: 0, 2, 4, 6, 8, 10
On the x-axis, it's going by 1s: 0, 1, 2, 3, 4, 5, 6
Between 2 and 4 is 3
Between 4 and 6 is 5
Between 6 and 8 is 7
Between 8 and 10 is 9
Between 2 and 3 is 2.5
Between 3 and 4 is 3.5
Between 4 and 5 is 4.5
Between 5 and 6 is 5.5
Between 6 and 7 is 6.5
Between 7 and 8 is 8.5
Between 8 and 9 is 8.5
Between 9 and 10 is 9.5
Between 10 and 11 is 10.5
You get to see the pattern going on here...
On point E, we can see that the x-axis is 2.
Now on the y-axis, it is between 6 and 7. But if you look closely, you'll see that it's not on the line, that indicates 6.5.
So we find the median...
6, 6.1, 6.2, 6.3, 6.4, 6.5 6.2 and 6.3 are on the medium
[tex]\frac{6.2 + 6.3}{2}[/tex] = 6.25 Answer on E: (2, 6.25)
On point F, we can see that the x-axis is 3.
On the y-axis, it is between 8 and 10, which would be 9, BUT, look closely that it's also between 9 and 9.5.
The answer would be 9.5, but it is SLIGHTLY below 9.5, so I think it's 9.4
Answer on F: (3, 9.4)
On point G, the x-axis is between 3 and 4, so it's 3.5.
On the y-axis, we know it's going by 2s. We can see that G is between 10 and 12, so it would be 11. Because it is on that thin line, as you can see.
Answer on G: (3.5, 11)
What is the coefficient of 3y+7?
Answers
Answer:
3
Step-by-step explanation:
it's 3 because the number is infront of a variable
Esteban finds 12 baseball cards on Monday and 24 more baseball cards on Tuesday. He gives some baseball cards to his sister, and now he has 13 baseball cards left. How many cards did he give to his sister?
Answers
Answer:
23 cards.
Step-by-step explanation:
After Monday, Esteban has 12 cards.
After Tuesday, Esteban has 12 + 24 = 36 cards.
He gave to his sister x cards.
36 - x = 13
36 = 13 + x
23 = x
You roll a number cube. Determine the theoretical probability of rolling a 4 or a 6.
Answers
Answer:
Both of them would have a 1/6 chance of being chosen
Step-by-step explanation:
Sorry I don't know if this is the answer you are looking for :(
Answer:
2/6 is read as "2 out of 6" or "2 in 6"
Step-by-step explanation:
Since there are 6 sides on a dice you have a 2 in 6 chance of rolling either a 4 or a 6. The probability of rolling one over the other would be 1/6
Hope this helps!
Write an equation in slope intercept form for: m = - 1 and b = 2
Answers
Answer:
y=-1x+2
or
y=-x+2
y=mx+b
substitute
you get y=-1x+2
Explanation: Slope intercept form is: y=mx+b. Then you just substitute!
Hope this helps! :)
if mr.s rivas has 256 donust and she needs to give the same amount of dounts to her 5 freinds
Answers
Answer:
256/5=51.2
Step-by-step explanation:
Answer:
51 with a remainder of one, or 51.2
Step-by-step explanation:
She has 256 donuts and 5 friends. I assume this is for long division practice, so I will do long division.
5 | 256
Look at the first term. Does 5 go into 2? No. Bring down the next term.
5|256
25
Does 5 go into 25? Yes! How many times? 5. The first digit of our answer will be 5.
5|256 = 5
25
Now to get rid of the 25, we multiply the number we took for our answer by the divisor. 5x5 = 25. Subtract this from 25 and bring down the next (and last term).
5|256 = 5
25
-25
06
Does 5 go into 6? Yes. One time. Repeat what we did just now with this term now.
5|256 = 51
06
-5
1
Does 5 go into 1? No, it is smaller. Therefore we have a remainder of one donut.
If we are trying to divide ALL of the donuts equally, we will have to cut up the donut into 5 equal pieces. They would each be 1/5 of the donut, or 0.2.
So adding this, each friend would get 51 donuts, with an extra donut for Mrs Rivas, or each friend would get 51.2/51 and 1/5 donuts.
An iceberg is 27 feet above water however it is 46 feet deep underwater. How tall is the iceberg
Answers
Answer:
73 feet
Step-by-step explanation:
27 + 46 = 73 feet
Help. Please open powerpoint and help me!
Answers
Answer:
30.4%
1000 at £1.10
1000 x 1.10 = £1100
35% of 1000 is given away
1000 - 35% = 1000 - 350 = 650 left
35% of £1100 = £385, subtract to get £715 pounds worth of pins left
650 are left, with 385 pounds lost
60% of 650 = 390 pins sold at £3 each
40% of 650 = 260 sold at £5 for 2
3 x 390 = £1170 made from the first lot
260/2 = 130 x 5 = £650 made from the second lot
£1170 + £650 = £1820 from sales
Sales - cost to make - losses (giveaways) = profit value
1820 - 1100 - 385 = 335 pounds of profit
To find the gross profit margin, we take the profit, and find what percentage of the production cost it is.
335 is about 30.45% of 1100
30.45%, which is 30.4% to 1 decimal place.
The user is not responsible for any errors and all care should be taken to validate answer by self before submission.
Which equation is being graphed here?
A. y-4= -2/3(x-2)
B. y-4= -2/3(x+2)
C. y+4= -3/2(x-2)
D. y+4= -3/2(x+2
Answers
______________________________
1.) Graph each equation:
(I've included the graphs below.)
So your answer is c, [tex]\bold{y+4=-\frac{3}{2}(x-2)}[/tex].
______________________________
3 people can deliver 1000 letters in 30 minutes.
How long would it take 1 person to deliver all 1000 letters?
If there are 5 people delivering would it take more or less time?
How long will take 5 people to deliver 1000 letters?
Answers
Answer: It would take 1 hour and 30 minutes for one people do it.
If 5 people do it would take less time. If there are 5 people delivering the letters it would take them 12 minutes ti deliver all 1,000 letters.