Find a function for the graph below.
a. f(t) = 3 cos 41
b. ft) = 8 sin 3t
fit) = 3 sin 41
d. (t) = 3 cos 6
Answers
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
The given function has Amplitude of 3, and by seeing it we can conclude that it's a sine function.
Therefore, we can conclude that the required Answer is ~
[tex]\qquad \sf \dashrightarrow \:c. \: f(t) = 3 \sin(4t) [/tex]
The sinusoidal function is represented as y = 3 sin 4t. Then the correct option is C.
What is a sinusoidal Function?It is a function that repeats itself in a particular time interval.
The sine function is given as
y = A sin (wt + Ф)
where A is the amplitude, w frequency, and Ф is the phase difference.
From the graph, the value of the amplitude will be 3, the frequency will be 4, and the phase difference will be 0. Then the equation will be
y = 3 sin4t
More about the sine function link is given below.
https://brainly.com/question/3876065
#SPJ2
Related Questions
Find the measures of the interior angles?
Answers
Answer:
Angle C = 35
Step-by-step explanation:
Angles A and B are already given to you, so I will not be explaining how to find them. If you have any questions, let me know.
There are 2 ways to solve this problem; you can either use the sum of the interior angles or isosceles triangles.
Sum of Interior Angles
The interior angles of all triangles equal 180 degrees. We can use this information to create an equation.
First, set up the equation.[tex]110+35+x=180[/tex]Then, combine like terms.[tex]145+x=180[/tex]Next, subtract 145 from both sides[tex]x=35[/tex]This means that angle C equals 35 degrees.
Isosceles Triangles
The image shows marks on 2 sides. These marks show that the sides are congruent. If a triangle has 2 congruent sides then it is isosceles. Isosceles always have 2 congruent angles as well. In addition, these congruent angles are always the angles opposite of the congruent sides.
In this case, the angles opposite of the congruent sides are angle A and angle C. Thus, angles A and C are congruent. If angle A is equal to 35, then angle C must also be 35.
The area enclosed by the graphs of y = 1/x, y = 1, and x = 3 is rotated about the line y = -1. Find the volume and show steps.
Answers
Answer:
[tex]A=\pi\displaystyle\biggr[\frac{16}{3}-2\ln(|3|)\biggr]\approx9.8524[/tex]
Step-by-step explanation:
Use the Washer Method [tex]A=\pi\displaystyle \int\limits_{a}^{b}{\bigr[R(x)^2-r(x)^2\bigr] \, dx[/tex] where [tex]R(x)[/tex] is the outer radius and [tex]r(x)[/tex] is the inner radius.
If we sketch out the graph, we see that [tex]y=1[/tex] intersects points [tex](1,1)[/tex] and [tex](3,1)[/tex], which will be our bounds of integration.
Here, our outer radius will be [tex]R(x)=(-1-1)=-2[/tex] and our inner radius will be [tex]r(x)=-1-\frac{1}{x}[/tex].
Thus, we can compute the integral and find the volume:
[tex]A=\pi\displaystyle\int\limits^{3}_{1} {(-2)^2-\biggr(-1-\frac{1}{x}\biggr)^2 } \, dx\\ \\A=\pi\displaystyle\int\limits^{3}_{1} {4-\biggr(1+\frac{2}{x}+\frac{1}{x^2} \biggr) } \, dx\\\\A=\pi\displaystyle\int\limits^{3}_{1} {4-1-\frac{2}{x}-\frac{1}{x^2}} \, dx\\\\A=\pi\displaystyle\int\limits^{3}_{1} {3-\frac{2}{x}-\frac{1}{x^2}} \, dx\\\\A=\pi\displaystyle\biggr[3x-2\ln(|x|)+\frac{1}{x}\biggr]\Biggr|_{1}^{3}\\[/tex]
[tex]A=\pi\displaystyle\biggr[\biggr(3(3)-2\ln(|3|)+\frac{1}{3}\biggr)-\biggr(3(1)-2\ln(|1|)+\frac{1}{1}\biggr)\biggr]\\\\A=\pi\displaystyle\biggr[\biggr(9-2\ln(|3|)+\frac{1}{3}\biggr)-\biggr(3+1\biggr)\biggr]\\\\A=\pi\displaystyle\biggr[\biggr(\frac{28}{3}-2\ln(|3|)\biggr)-\biggr(4\biggr)\biggr]\\A=\pi\displaystyle\biggr[\frac{16}{3}-2\ln(|3|)\biggr]\\A\approx9.8524[/tex]
In conclusion, the volume of the solid of revolution will be about 9.8524 cubic units. See the attached graph for a helpful visual!
PLEASE HELP
Use the function f(x) to answer the questions.
f(x) = −16x2 + 22x + 3
Part A: What are the x-intercepts of the graph of f(x)? Show your work. (2 points)
Part B: Is the vertex of the graph of f(x) going to be a maximum or a minimum? What are the coordinates of the vertex? Justify your answers and show your work. (3 points)
Part C: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part A and Part B to draw the graph. (5 points)
Answers
First graph
y=-16x^2+22x+3(Graph attached)#A
Use quadratic formula
[tex]\\ \rm\rightarrowtail x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
[tex]\\ \rm\rightarrowtail x=\dfrac{-22\pm\sqrt{484+192}}{-32}[/tex]
[tex]\\ \rm\rightarrowtail x=\dfrac{-22\pm\sqrt{676}}{-32}]/tex]
[tex]\\ \rm\rightarrowtail x=\dfrac{-22\pm 26}{-32}[/tex]
[tex]\\ \rm\rightarrowtail x=\dfrac{-1}{8}\:or\:\dfrac{3}{2}[/tex]
[tex]\\ \rm\rightarrowtail x=-0.125\:or\:1.5[/tex]
#B
Vertex will be maximum
Coordinates are
(0.688,10.563)#C
We have to find x intercepts (Part A)Then vertex(Part B)Then we can graph it[tex]\sf f(x) = -16x^2 + 22x + 3[/tex]
Part A
To find x-intercepts, the f(x) will be 0
[tex]\sf \hookrightarrow -16x^2 + 22x + 3=0[/tex]
[tex]\sf \hookrightarrow -16x^2 + 24x -2x+ 3=0[/tex]
[tex]\sf \hookrightarrow -8x(2x-3)-1(2x- 3)=0[/tex]
[tex]\sf \hookrightarrow (-8x-1)(2x+ 3)=0[/tex]
[tex]\sf \hookrightarrow -8x-1=0 , \ 2x+ 3=0[/tex]
[tex]\sf \hookrightarrow x=-0.125 , \ x=1.5[/tex]
find y-intercept:
to find y-intercept, x will be 0
[tex]\sf f(x) = -16(0)^2 + 22(0) + 3[/tex]
[tex]\sf f(x) = 3[/tex]
Part B
To find vertex use the formula: x = -b/2(a)
[tex]\sf \rightarrow x = \dfrac{-22}{2(-16)}[/tex]
[tex]\sf \rightarrow x = 0.6875[/tex]
find y coordinates:
[tex]\sf f(x) = -16(0.6875)^2 + 22(0.6875) + 3[/tex]
[tex]\sf f(x) =10.5625[/tex]
coordinates of vertex: (0.6875, 10.5625)
[tex]\bold{\mathrm{If}\:a < 0,\:\mathrm{then\:the\:vertex\:is\:a\:maximum\:value}}[/tex][tex]\bold{\mathrm{If}\:a > 0,\:\mathrm{then\:the\:vertex\:is\:a\:minimum\:value}}[/tex]As its positive and greater than 0, the vertex will be Maximum.
part C
To draw the graph, simplify point the vertex on the graph. Then point both the x-intercepts. Also the y-intercept and draw the curve with free hand.
Graph attached:
write the following numbers in words (1) 396 624 (2) 5 200 090 (3) 4 606 220
Answers
Answer:
1. three hundred ninety six thousand twenty four
2. five million two hundred thousand ninety
3. four million six hundred six thousand two hundred twenty
What is the value of X?
Answers
Answer:
x=7
Step-by-step explanation:
In a 45 45 90 triangle the two legs are equal so you set 33=5x-2 and then solve the equation.
Solve the equation:
1. |x-7|=8
2. |x-9|=-14
Answers
2. no sol
Answer:
1. [tex]x=-1; x=15[/tex]
2. Impossible
Step-by-step explanation:
About #1.
There are two ways of reasoning.
Algebrically, you split the absolute value in two based on the sign of the quantity [tex]x-7[/tex]
[tex]x-7 = 8; x\ge7\\x=15\\x-7=-8; x < 7\\x=-1[/tex]
Geometrically, and it's a personal preference of mine, you're asking to find the numbers that are 8 units away from 7. One is to the right (15), and the other is to the left (-1).
#2 is impossible. The modulus of a number is by definition non negative, so it can never be equal to a negative number.
I need help with questions two and three I do not understand them at all
Answers
2. D
BRAINLIEST AND 100 POINTS!
The equation yˆ=−5.131x2+31.821x−3.333 approximates the number of people standing in line to catch a commuter train x hour after 5 a.m.
What is the best estimate for the number of people in line at 7 a.m.?
23
27
32
40
Answers
Answer:
The answer is 40. I'm 100% sure.
Answer:
D.40
Step-by-step explanation:
At a student café, there are equal numbers of two types of customers with the following values. The café owner cannot distinguish between the two types of students because many students without early classes arrive early anyway (i.e., she cannot price-discriminate).
Students with Early Classes
Students without Early Classes
Coffee 73 63
Banana 53 103
The marginal cost of coffee is 5 and the marginal cost of a banana is 20.
The café owner is considering three pricing strategies:
1. Mixed bundling: Price bundle of coffee and a banana for 166, or just a coffee for 73.
2. Price separately: Offer coffee at 63, price a banana at 103.
3. Bundle only: Coffee and a banana for 126. Do not offer goods separately.
Assume that if the price of an item or bundle is no more than exactly equal to a student's willingness to pay, then the student will purchase the item or bundle.
For simplicity, assume there is just one student with an early class, and one student without an early class.
Price Strategy
Revenue from Pricing Strategy
Cost from Pricing Strategy
Profit from Pricing Strategy
1. Mixed Bundling
$
$
$
2. Price Separately
$
$
$
3. Bundle Only
$
$
$
Pricing strategy yields the highest profit for the café owner.
Answers
Based on the prices, the willingness to pay of the students and the costs, the profits will be:
Mixed bundling = 209.Price separately = 199.Bundle Only = 202.The pricing strategy that yields the highest profit is the Mixed bundling strategy.
What is the profit from Mixed bundling?First find the willingness to pay for both the students with early classes and those without.
Student with early classes: Students without early classes:
= 73 + 53 = 63 + 103
= 126 = 166
At a mixed bundling price of 166, only students without early classes will be able to afford the bundle as their willingness to pay is 166.
Student with early classes will only take the coffee at 73 because their willingness to pay of 126 is lower than the 166 bundle price.
Profit is:
= (Bundle price + Coffee price) - (Marginal cost of two coffees + Marginal cost of banana)
= (166 + 73) - (2 x 5 + 20)
= 209
What is the profit from pricing separately?At separate only pricing students without early classes will be able to afford the both things at 166.
Student with early classes will only take the coffee at 63 because their willingness to pay of 126 won't allow them to take both items.
Profit:
= (63 + 63 + 103) - (2 x 5+ 20)
= 199
What is the profit from price separately?At a bundle only price of 126, both the students with early classes and those without early classes will be able to afford the bundle as their willingness to pay, match the price.
Profit will be:
= (126 + 126) - (2 x 5 ) for coffee - (2 x 20) for bananas
= 202
In conclusion, the woman should go with the Mixed bundling as it gives the highest profit of 209.
Find out more on pricing strategies at https://brainly.com/question/7303679.
Find the quotient of 36 and -4.
Answers
The quotient of 36 and -4 is -9.
36/-4 = -9
Question
The sum of four times a number and two is 14. Find the number.
Answers
Answer:3
Step-by-step explanation:let the number be x
4x+2=14
4x=14-2
4x=12
divide both sides by 4
4x/4=12/4
x=3
3. In the accompanying diagram, a rectangular container with the dimensions 10 inches by 15 inches by 20 inches is to
be filled with water, using a cylindrical cup whose radius is 2 inches and whose height is 5 inches. What is the maximum
number of full cups of water that can be placed into the container without the water overflowing?
Answers
The maximum number of full cups of water that can be placed into the container without the water overflowing is 47 cups
How to calculate volume?Volume of the container = 10 * 15 * 20 = 3000 in³
The volume of the cylinder is:
Volume of cylinder = π * radius² * height = π * 2² * 5 = 62.83 in³
Number of cups that can be placed in container = 3000 in³ / 62.83 in³ = 47.74
The maximum number of full cups of water that can be placed into the container without the water overflowing is 47 cups
Find out more on volume at: https://brainly.com/question/1972490
In the grocery store, eggs are sold in cartons of 12. Write five
ordered pairs made from the corresponding terms of these
two patterns, based on selling 0 to 4 cartons of eggs.
Pattern A: number of cartons sold
Pattern B: number of eggs sold
Plot the points on the plane to the right.
Describe the relationship between the coordinates of the ordered pairs.
Answers
Area compound shapes
Answers
Step-by-step explanation:
the area is the sum of the top square of 9×9 and the bottom parallelogram.
we know the length of the parallelogram is still also the square side length : 9ft.
but we don't need to bother about the lengths of the inclined sides, as the area of a parallelogram is
baseline × height
and the height we can see on the right hand side, as the height of the total shape is 14ft. given that the square side length is 9ft, that leaves us with 14-9 = 5ft as the height of the parallelogram.
so, the area of the square is
9×9 = 81 ft²
the area of the parallelogram is
9×5 = 45 ft²
the total area is then
81 + 45 = 126 ft²
What is the area of this figure?
Answers
[tex]a \: = \: square \: area \: + \: triangle \: area \: + \: rectangle \: area \: \\ [/tex]
[tex]a \: = (3 \times 3) + ( \frac{1}{2} \times 3 \times 11) + (3 \times 11) \\ [/tex]
[tex]a = 9 + \frac{33}{2} + 33 \\ [/tex]
[tex]a = 9 + 16.5 + 33[/tex]
[tex]a = 25.5 + 33[/tex]
[tex]a = 58.5 \: \: {ft}^{2} [/tex]
What is the value of x in the equation –2.4x = 8.4?
Answers
Answer:
x = -3.5
Step-by-step explanation:
−2.4x=8.4
Divide both sides by −2.4.
x= 8.4/-2.4
Expand 8.4/-2.4 by multiplying both numerator and the denominator by 10.
x= 84/-24
Reduce the fraction 84/-24 to lowest terms by extracting and canceling out 12.
x= −7/2
-7/2 = -3.5
Answer:
-3.5
Step-by-step explanation:
Hello there?
given such a question,
You have to carry out division on of both RHS and LHS.
Take -2.4 and divide through -2.4{LHS} and 8.4{RHS}.
You are then remained with 1(x) in LHS and -3.5 in RHS
-2.4x /(-2.4)= {8.4}/(-2.4)
= -3.5
I hope this helps. Have a nice studies
This figure is the pre-image of a prism that has undergone a dilation with a scale factor of 3/4.
What is the surface area of the image after the dilation?
185 5/8 m²
219 3/8 m²
247 1/2 m²
292 1/2 m²
Answers
The surface area of the image after the dilation is 219 3/8 m²
What is an area?Area is the amount of space occupied by a two dimensional shape or object.
The surface area of the prism = 2(0.5 * 5 * 12) + (5 * 11) + (11 * 12) + (13 * 11) = 390 m²
The surface area of the image after the dilation = scale factor² * 390 m² = (3/4)² * 390 m² = 219 3/8 m²
The surface area of the image after the dilation is 219 3/8 m²
Find out more on area at: https://brainly.com/question/25292087
A snack bar weighs 61g, and 10% of the weight is apple. How many
grams of apple are in the snack bar?
Answers
Answer:
61×10/100
=610/100
=6.1 g
Answer:
6.1g
Step-by-step explanation:
Snack bar: 61g
Apple: 10% of 61g
10/100 = 0.1
0.1 * 61 = 6.1g
There are 6.1g of apple in the snack bar.
Hope this helps!
Hello I need help with number 1-12 please and thank you!!!!!
Answers
Answer:
Please see above
Step-by-step explanation:
I have to right stuff here but the answer is above.
The length of the base of an isosceles triangle is x. The length of a leg is 2x - 2. The perimeter of the triangle is 71. Find
Answers
Answer:
x = 15
Step-by-step explanation:
x + 2x - 2 + 2x - 2 = 71
Solve for x, you get 15.
Jayla just measured her pet snake and found out that it is 3.8 inches long, which is 52% longer than the last time Jayla measured. How long was the pet snake last time?
Answers
x * (1+0.52) = 3.8
x * 1.52 = 3.8
x = 2.5 inches
what is the parallelogram base b?
Answers
Answer:
10
Step-by-step explanation:
The area if a parallelogram is given by the equation, Area = base * height
In this case, area = 200, and the actual height = 20
So, let's say the base is x
Plug these values in to the Area equation
200 = 20 * x
200 = 20x
Divide both sides by 20 to get x alone
200 / 20 = 20x / 20
10 = x
The base is 10
The sum of two numbers is 35. The smaller number is 11 less than the larger number. What are the numbers?
Answers
Then you combine like terms giving 2x - 11 = 35
You solve for x resulting in x = 23
So the numbers would be 23 and 12
Answer:
12 & 23
Step-by-step explanation:
Let's make both of the statements into equations by making the numbers x & y.
"The sum of two numbers is 35" which means the two numbers added together is 35. So, x + y = 35.
"The smaller number is 11 less than the larger number." Let's make x the smaller number. So, x = y - 11.
So our equations are x + y = 35 and x = y -11. Using substitution, we can plug in (y-11) for x in the first equation.
y + y - 11 = 35. Combine the (y + y) to get 2y - 11 = 35. Add 11 to both sides of the equation, to get 2y = 46. Divide both sides by 2 to get y = 23.
Now, we can substitute 23 for y in either one of the equations, but I'm going to use the second one. x = y - 11 or x = 23 - 11 which equals 12.
Your 2 numbers are 12 and 23. Hope this helps! :)
If you want to be 99% confident of estimating the population mean to within a sampling error of 14 and the standard deviation is assumed to be 14, what sample size
is required?
The sample size required is
(Round up to the nearest integer.)
In
Help me solve this
View an example
Get more help
Clear all
Check answer
Answers
Answer:
16641
Step-by-step explanation:
Thank you!
Award: 1.00 point Exercise 6-10A (Static) Why is it important to prepare the benefit analysis report or the total compensation report? [You may select more than one answer. Single flick the box with the question mark to produceea check marka forma correct answer and doubye-click the both with the question mark to empty the box for a wrong answer. Any boxes left with a question mark will be automatically graded as incorrect.) The reports may be used to accompany benefits billing. The reports may be used as employee contracts. The reports promote employee education about the total value of their salary and benefits. The reports inform labor planning and employer cost strategies. References Check All That Apply Difficulty: 1 Easy Exercise 6-10A (Static) Learning Objective: 06-06 Complete Benefit Analysis as a Function of Payroll
Answers
Answer:
i think its option one
Step-by-step explanation:
Michael has a bag with 2 red marbles, 4 white marbles and 3 purple marbles. He will randomly select 2 marbles from the bag one at a time without
replacement. What is the probability that he will choose a red marble first and then a white marble?
O 13/18
8/81
O 1/9
O 2/3
Answers
Answer:
1/9
Step-by-step explanation:
Given:
2 red marbles
4 white marbles
3 purple marbles
He will randomly select 2 marbles from the bag one at a time without
replacement.
To Find:
What is the probability that he will choose a red marble first and then a white marble?
Solution:
Since red marbles =2
White = 4
Total = 2+4+3 = 9
Select first time = 2/9
Select second time = 4/8
And then = Multiply
2/9 * 4/8 = 8/72
8/72 Simplify
1/9
[RevyBreeze]
Amanda and her best fiend found some money buried in a field. thay split the money evenly, each getting $24.28. how much money did thay find?
Answers
Answer:
48.56
Step-by-step explanation:
We have to multiply 24.28x2 because there are 2 people so if we multiply it we will get the answer 48.56.
what is the volume of the box with a high of 3/2 inches a length of 7/2 inches and a with of 5/2 inches
Answers
Answer: It is 105/8, or 13 1/8 (as a mixed number)
Step-by-step explanation:
To find volume, you do length times width times height (l * w * h)
Hope this helps! :D
PLEASE HELP ME
A triangle has one angle that measures 29 degrees, one angle that measures 131 degrees, and one angle that measures 20 degrees.
What kind of triangle is it?
Answers
Answer:
obtuse angled triangle
Step-by-step explanation:
one angle is more than 90
h=-16t^2+320, how long will it take to hit the ground
Answers
Answer:
It will take 5 seconds