A certain cosine function has an amplitude of 5. Which function rule could model this situation?

a) f(x)=5cos(x)+3f(x)=5cos(x)+3

b) f(x)=3cos(x)+5f(x)=3cos(x)+5

c) f(x)=cos(5x)+3f(x)=cos(5x)+3

d) f(x)=cos(3x)+5

Answers

Answer 1
The answer should be D
Answer 2

The function rule that could model this situation regarding the amplitude is f(x) = 5 cos(x) + 3.

What is an amplitude?

An amplitude simply means a measure of the change in a single period.

It should be noted that the formula of the cosine function will be y = A cos bx

A = Amplitude

Therefore, the function rule that could model this situation regarding the amplitude is f(x) = 5 cos(x) + 3.

Learn more about amplitude on:

https://brainly.com/question/1538711


Related Questions

Laura's yard is in the shape of a square and a half-circle.

Answers

Answer:

289

Step-by-step explanation:

17 x 17 = 289

6 An account pays
4% compound interest per year.
Eric invests £1500 into the account for 2 years.
How much interest will he earn?
Ad

Answers

Answer: £122.4

Step-by-step explanation:

Given

The rate of interest is 4%

The principal invested is £1500

the time period is 2 years

Compound interest is given by

[tex]C.I.=P(1+r\%)^t-P[/tex]

put values

[tex]C.I.=1500(1+0.04)^2-1500\\C.I.=1500[1.04^2-1]\\C.I.=1500[1.0816-1]\\C.I.=1500\times 0.0816\\C.I.=122.4[/tex]

Therefore, interest earned is £122.4

a rectangular garden has a length which is 14 feet longer than 4 times its width. its area is 60 find length and width. Pls help

Answers

Answer:

56

Step-by-step explanation:

2 5/6 * 3 2/3 Please explain how to work it out and dont bot my question-​

Answers

Answer:

400/9 or 44 4/9

Step-by-step explanation:

( 25/ 6 )( 32 /3 )

=

(25)(32)

(6)(3)

=

800 /18

=

400/9  

What is the number that is 1 number before infinity?

WHOEVER WILL ANSWER FIRST AND CORRECT WILL BE THE BRAINLIEST and take ur time I am asking for fun to see who is the best☺​

Answers

Answer:

напиши по русский

Я НЕ ПОНИМАЮ.

The ratio of the number of Baskin Robbins :Cold stone ice cream cones sold in a day is 11:9.If the number of Baskin Robbins cone sold is 44 .(a)How many cold stone cones are sold ? (b)If the number of cold stone cones on the next day is reduced to 20.what is the new ratio?

answer fast plsssssssssssssssssssssssssssssssss

Answers

Answer:

a) 36

b) 11:5

Step-by-step explanation;

a) let the number of cold stone cones be x

Since the initial ratio is 11:9

we have the ratio of the ice creams as;

11:9 = 44:x

11/9 = 44/x

11 * x = 9 * 44

x = (9 * 44)/11

x = 9 * 4 = 36

b) Now, from 36, we have a number of cold stones as 20

So the ratio now will be;

44:20

and that would be;

11:5

I need help for bi dont get it

Answers

Answer:

EWWWWWWWWWWWWW UR BI???!!

Step-by-step explanation:

Don’t listen to that person even if you are they are rude anyways I’m sorry I could help you but yeah have a good day :)

Expand and simply following expression.
5(n – m) +3(n – m)

Answers

Answer:

[tex]n = x \\ m = y \\ 5x - 5y + 3x - 3y = 8x - 8y = 8(x - y)[/tex]

I don’t know if this is right

Answers

Answer:

Step-by-step explanation:

Sure it is

Answer:

You are right it is not a triangle

A globe of the moon has a radius of 10 inches. Find the volume of the globe. Round your answer to the nearest whole number.

Answers

Answer: 419 in^3

Explanation: a globe, or more generally a sphere, has a volume formula V = 4/3pir^3
Since the radius is 10 inches, we can simply plug in 10 for r to find V = 4/3 x pi x (10)^3

Thus: V = (4/3)(3.1415)(100) = 418.9 ≈ 419

A 36 oz container of Sour Punch Juice costs $6.84. A 48 oz container of the same juice costs $10.08. Which is the better buy?

Answers

Answer:

the 10$ one

Step-by-step explanation:

Determine a simplified expression to represent the area of shaded region within the figure below

Answers

Answer:

[tex](5x-3)^{2}[/tex] - (3x+1)(2x-1)

Step-by-step explanation:

Determine the area of the large square: (5x - 3)(5x - 3)

Determine the area of the small rectangle: (3x + 1)(2x -1)

Subtract the area of the small rectangle from the area of the large square to get the area of the shaded region.

A bag contains:
5 red marbles
4 blue marbles
2 green marbles
6 black marbles
3 yellow marbles
1. What is the probability a
green marble will be
randomly drawn?

Answers

Answer: 2 out of 20=2/20 but simplified 1/10 for trying to get a green marble.

What is the domain for the relation R={(2,3),(1,3),(-2,1),(1,1)}?

Answers

Answer:

Step-by-step explanation:

There are four points here.  We look at the x-values and identify {2, 1, -2, 1].  This can be reduced to {-2, 1, 2}

Unfortunately, the input '1' shows up twice and thus the relation cannot be a function; we cannot have two different y-values for the same x-value (1).


The circumference of a circle is 8.44cm.
Find the length of the diameter.
Give your answer rounded to 2 DP.​

Answers

Answer:

Diameter = 2.68cm

Step-by-step explanation:

Circumference of a circle = 2πr

Circumference of a circle = 8.44cm

π = 3.14

r = ?

Circumference of a circle = 2πr

8.44 = 2 * 3.14 * r

8.44 = 6.28r

r = 8.44/6.28

r = 1.3439490445859

Approximately

r = 1.34

Diameter = 2r

Diameter = 2 * 1.34

Diameter = 2.68cm

What is the area of the figure?

Answers

Answer:

B

Step-by-step explanation:

A central angle measuring 120° intercepts an arc in a circle whose radius is 6.

What is the area of the sector of the circle formed by this central angle?

π
12 π
24 π
36 π

Answers

Answer:

A central angle measuring 120° intercepts an arc in a circle whose radius is 6. What is the area of the sector of the circle formed by this central angle? Answer choices: 1/3π

Step-by-step explanation:

Jack designed a bridge that will be 0.2 miles long, and 3/5 of the bridge has been built. How long is the section of the bridge that is finished? Show how you know.

Answers

Answer:

0.12

because 3/5 of 0.2 is 0.12

u probably shouldn’t trust me im dum

Step-by-step explanation:

Among the licensed drivers in the same age group, what is the probability that a 78-year-old was involved in an accident? Use the table below.​

Answers

Answer:

C. 6.6%

Step-by-step explanation:

The probability of an event 'A' occurring, P(A) is given by the ratio of the number of times event A occurs to the some of all possible events

Mathematically, we have;

[tex]The \ probability \ of \ an \ event = \dfrac{The \ number \ of \ the \ required \ outcome}{The \ number \ of \ all \ possible \ outcomes}[/tex]

The number of drivers involved in an accident who are above 75 years = 13,321

The total number of drivers in accidents = (10,034 + 17,173+ 35,712+ 40,322 + 40,937 + 30,355 + 17,246 + 13,321) = 205,100

A 78-year-old is in the age group of 75 and older

∴ The probability that a 78-year-old licensed driver was involved in an accident = The probability that a 75 and older year-old licensed driver was involved in an accident = 13,321/205,100 ≈ 0.06495 = 6.5%

Therefore, the best option is option C. 6.6%

Answer:

4.2

Step-by-step explanation:

<333

4 years is what fraction of a century?

Answers

Answer: 0.04, and as a fraction is 1/25

I just need a explanation pls

Answers

Answer:

SCreenshoit

wont lddlwd

Step-by-step explanation:

In the diagram shown, ZUMF is an exterior angle of triangle JMK Select all the remote interior angles of

Answers

Answer:

Options (1) and (3)

Step-by-step explanation:

Exterior angles of a triangle is equal to the sum of two remote interior angles of the triangle.

In triangle JMK,

∠JMF is the exterior angle and angles ∠KJM and ∠JKM are the remote interior angles.

m∠JMF = m∠KJM + ∠JKM

Therefore, Options (1) and (3) are the correct options.

Eliminate the parameter and write the corresponding rectangular equation whose graph represents the curve.

x = 3sin2ø
y = 3cos2ø

Answers

Answer: [tex]\dfrac{x^2}{9}+\dfrac{y^2}{9}=1[/tex]

Step-by-step explanation:

Given

[tex]x=3\sin 2\phi\\y=3\cos 2\phi[/tex]

square and add [tex]x\ \text{and}\ y[/tex] terms i.e.

[tex]\Rightarrow x^2+y^2=[3\sin 2\phi]^2+[3\cos 2\phi]^2\\\Rightarrow x^2+y^2=9\sin ^22\phi+9\cos ^2 2\phi\\\Rightarrow x^2+y^2=9[\sin^2 2\phi +\cos^2 2\phi]\\[/tex]

Using identity [tex]\sin ^2\theta +\cos ^2 \theta =1[/tex]

[tex]\Rightarrow x^2+y^2=9\\\\\Rightarrow \dfrac{x^2}{9}+\dfrac{y^2}{9}=1[/tex]

help me again with this

Answers

Answer:

153

Step-by-step explanation:

6*12=72

4*4=  16

13*5=65

        153

last one like actually last one then I can submit<3​

Answers

Answer:

100 because they are both vertical from each other

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

4 angel = 100

6 angle =100

5 angle= 80

The straight line L passes through the points (0, 12) and (10, 4).
Find an equation for L.

Answers

Answer:

You need to add an image so we can see the line.

Step-by-step explanation:

A power company calculates a person's monthly bill from the number of kilowatt-hours (kWh), x, used. The function b(x) = { 0.150, s 0.10 (x – 200) + 30, x < 200 2 > 200 determines the bill. How much is the bill for a person who uses 300 kWh in a month? O A. $60 O B. $55 C. $40 D. $45​

Answers

The bill for a person who uses 300 kWh in a month is $40

How to determine the bill of the person?

The piecewise function of how the power company calculates the bill is given as:

b(x) = 0.150x, x < 200

b(x) = 0.10(x - 200) + 30, x >= 200

For a person who uses 300 kWh in a month, the value of x is 300.

i.e. x = 300

By comparing the domain of the piecewise function, we make use of the following function

b(x) = 0.10(x - 200) + 30, x >= 200

Remove the domain

b(x) = 0.10(x - 200) + 30

Substitute the known values in the above equation

b(300) = 0.10(300 - 200) + 30

Evaluate the difference

b(300) = 0.10(100) + 30

Evaluate the product

b(300) = 10 + 30

Evaluate the sum

b(300) = 40

Hence, the bill for a person who uses 300 kWh in a month is $40


Read more about piecewise function at

https://brainly.com/question/18859540

#SPJ1

[REALLY EASY QUESTION]

Given g(x) = 4x + 5, what function h(x) would represent a leftward shift by three units?

A) h(x) = 4x + 2

B) h(x) = 4x + 8

C) h(x) = 4x + 17

D) h(x) = 7x + 17

Answers

Answer:

A. h(x)=4x+2

Step-by-step explanation:

Because it's shifted to the left, you would subtract three units from 5, resulting in 4x+2. Hope this helps, have a nice day! :)

Which of the following shows the difference in the amount of liquid that both bottles hold rounded to the nearest tenth?

Answers

Answer: A

Step-by-step explanation:

please help!! 20 points for answering. if you guess or comment something just to take points i will make sure your account gets banned. thank you!! :)

Answers

the answer is x is less than or equal to -5 for the first one. so x<=-5 !
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