What is the equation of a sine function with an amplitude of 2 and a period of 4

What Is The Equation Of A Sine Function With An Amplitude Of 2 And A Period Of 4

Answers

Answer 1

Answer: C

Step-by-step explanation:

For this problem, we need to know the standard form of a sine function and the meaning of each part.

Standard form: [tex]y=asin[b(x-h)]+k[/tex]

a=amplitude

b=period

h=phase shift

k=vertical replacement/shifting

Now that we know the standard form and the components, we know that we can forget about k and plug in 0 for h. This would leave us with [tex]y=asin[b(x)][/tex]. We know that the amplitude is 2, therefore, a=2. To find the period, you divide 2π by the given period. [tex]\frac{2\pi }{b} =\frac{2\pi }{4\pi } =\frac{2}{4} =\frac{1}{2}[/tex], therefore, b=1/2.

[tex]y=asin[b(x)][/tex]             [plug in a=2]

[tex]y=2sin[b(x)][/tex]             [plug in b=1/2]

[tex]y=2sin(\frac{1}{2}x)[/tex]

Therefore, C is the correct answer.


Related Questions

Heidi Muir, a sporting goods wholesaler, purchased goods from a supplier for $3,400. The
supplier offers a 3% discount if the invoice is paid within 10 days; if not paid within 10 days, the
full amount must be paid within 30 days of the invoice date. Use the formula to find the annual
rate Heidi, in effect, is paying the supplier if she fails to pay the invoice at the end of the discount
period

Answers

Answer:

56.44%

Step-by-step explanation:

From the question, we have the following values

% Discount = 3%

Full allowed payment days = 30 days

Discount days = 10 days

1 year = 365 days

The formula for Effective Annual rate or Annual rate in effect =

Discount %/(1-Discount %) x (365 days/(Full allowed payment days - Discount days))

= 3%/(1 - 3%) × (365 days/30 days - 10 days)

= 0.03/(1 - 0.03) × (365/20)

= 0.03/0.97 × (365/20)

= 0.5644329897

Converting to percentage

0.5644329897 × 100

= 56.44329897%

Approximately = 56.44%

Therefore, the annual rate Heidi, in effect, is paying the supplier if she fails to pay the invoice at the end of the discount period is 56.44%

Find the unit rate of 90 miles/2 hours, IN FEET PER SECOND! can you please do it step by step plz?

Answers

Answer:

45, 90/2 equals 45. everytime you need to find it you do miles/hours

What percent of 86 is 50 to the nearest whole percent

Answers

Answer:

58%

Step-by-step explanation:

50/86 is approximately equal to 0.58, and when you convert that into percentage you get 58%

Convert 30 pages/hour to pages/day.

Answers

30pages/hour| 1 day
| 24hours
So...
30\24= 1.25 pages/day

After a 90% reduction, you purchase a new soft drink machine on sale for $64. What was the original price of the soft drink machine?

Answers

Answer:

$640

Step-by-step explanation:

Let [tex]x[/tex] equal the original price of the machine.

We know that $64 is 10% of [tex]x[/tex] because $64 is left of [tex]x[/tex] after the 90% reduction.

Set up an equation:

[tex].10x=64[/tex]

Divide by the coefficient of [tex]x[/tex], which in this case is [tex].10[/tex]

[tex]x=640[/tex]

what is the value of x​

Answers

Answer:

X=70

Step-by-step explanation:

Interior angles of parallel line sum up to be 180° so:

45+(2x-5)=180

45+2x=185

2x=140

x=70

the square root of a number, less than nine (write into a verbal expression)

Answers

Answer: 9 - [tex]\sqrt{x}[/tex]

Step-by-step explanation:

Let say the number is x.

So the square root of x will  be [tex]\sqrt{x}[/tex]  and is less than 9  so we will subtract that from 9.

[tex]9-\sqrt{x}[/tex]

If m∠1= (7x –19)°, and m∠2 = (x + 5)°, find m∠2.

Answers

Given :

m1 = ( 7x - 19 )° .

m2 = ( x + 5 )° .

To Find :

The value of x .

Solution :

Since , relation between angle m1 and m2 is not given .

Let , us assume that sum of m1 and m2 is 180° .

So ,

[tex](7x-19)+(x+5)=180^{\circ}\\\\8x-14=180\\\\8x=194\\\\x=24.25^{o}[/tex]

Angle m2 = (24.25  + 5 )° = 29.25° .

Therefore , m2 = 29.25° .

Hence , this is the required solution .

Answer:

Given :

∠m1 = ( 7x - 19 )° .

∠m2 = ( x + 5 )° .

To Find :

The value of x .

Solution :

Since , relation between angle ∠m1 and ∠m2 is not given .

Let , us assume that sum of ∠m1 and ∠m2 is 180° .

So ,

Angle ∠m2 = (24.25  + 5 )° = 29.25° .

Therefore , ∠m2 = 29.25° .

Hence , this is the required solution .

Step-by-step explanation:

how do i math? plssssssssssssssssss answer

Answers

Answer:

you just math you know pretty easy when you know what to do

Step-by-step explanation:

just practice

what is 3/5 times 9/7

Answers

Answer:

[tex] \frac{27}{35} \\ [/tex]

Step-by-step explanation:

If you are going to multiply fractions, you just going to multiply their numerators and denominators and simplify when needed.

[tex] \frac{3}{5} \times \frac{9}{7} \\ \frac{3 \times 9}{5 \times 7} \\ \frac{27}{35} [/tex]

The exact form 27/35
Decimal form 0.7714285

A grid that represents 1 whole , what would you shade for 0.4 and 0.04? 100 squares in rows of 10.

Answers

Answer:

40/4 shaded in squares

Step-by-step explanation:

for 0.4, since 100 is a whole, multiply by 100.

0.4*100=40

shade in 40 squares

for 0.04, multiply by 100

0.04*100=4

shade in 4 squares

Let U = {English, French, History, Math, Physics, Chemistry, Psychology, Drama}, A = {Chemistry, Psychology, Math, History}, B = {Drama, English, French, Math, History}, and C = {Physics, Psychology, French}. Find the following. n(B ∪ C)

Answers

Drama, English, French, Math, History, Physics, Psychology

Is this relation a function?

Answers

yes that is a function because every number has a pair that goes to each other once

Which choice correctly expresses the number below in scientific notation?

Answers

Answer:

I think 2nd option is correct

the answer is D because there is seven zeros

Evaluate –32 + (2 – 6)(10

Answers

Steps to solve:

-32 + (2 - 6)(10)

~Simplify

-32 + (-4)(10)

~Multiply

-32 - 40

~Subtract

-72

Best of Luck!

Answer:

The answer is -49

Step-by-step explanation:

The equation is: –32 + (2 – 6)(10).

Then u have to do PEMDAS

P=Parentheses

E=Exponents

M=Multiplication

D=Division

A=Addition

S=Subtraction

you follow the steps to get -49

(c) Given that the system has at least one type of defect, what is the probability that it has exactly one type of defect

Answers

Answer:

The probability is 0.357

Step-by-step explanation:

Given that,

The system has at least one type of defect,

Suppose, A certain system can experience three different types of defects.

Let [tex]A_{i}[/tex] (i = 1,2,3) denote the event that the system has a defect of type i.

Suppose that the following probabilities are,

[tex]P(A_{1})=0.11[/tex]

[tex]P(A_{2})=0.08[/tex]

[tex]P(A_{3})=0.05[/tex]

[tex]P(A_{1}\cup A_{2})=0.13[/tex]

[tex]P(A_{1}\cup A_{3})=0.13[/tex]

[tex]P(A_{2}\cup A_{3})=0.11[/tex]

[tex]P(A_{1}\cap A_{2}\cap A_{3})=0.01[/tex]

[tex]P(A_{1}\cap A_{2})=0.06[/tex]

[tex]P(A_{1}\cap A_{3})=0.03[/tex]

[tex]P(A_{2}\cap A_{3})=0.02[/tex]

[tex]P(A_{1}\cup A_{2}\cup A_{3})=0.14[/tex]

We need to calculate the probability that it has exactly one type of defect

Using given data

[tex]P=\dfrac{P(A_{1}\cap A_{2}'\cap A_{3}')}{P(A_{1}\cup A_{2}\cup A_{3})}+\dfrac{P(A_{1}'\cap A_{2}\cap A_{3}')}{P(A_{1}\cup A_{2}\cup A_{3})}+\dfrac{P(A_{1}'\cap A_{2}'\cap A_{3})}{P(A_{1}\cup A_{2}\cup A_{3})}[/tex]

[tex]P=\dfrac{P(A_{1})-P(A_{1}\cap A_{2})-P(A_{1}\cap A_{3})+P(A_{1}\cap A_{2}\cap A_{3})}{P(A_{1}\cup A_{2}\cup A_{3})}[/tex] + [tex]\dfrac{P(A_{2})-P(A_{1}\cap A_{2})-P(A_{2}\cap A_{3})+P(A_{1}\cap A_{2}\cap A_{3})}{P(A_{1}\cup A_{2}\cup A_{3})}[/tex]+ [tex]\dfrac{P(A_{3})-P(A_{1}\cap A_{3})-P(A_{2}\cap A_{3})+P(A_{1}\cap A_{2}\cap A_{3})}{P(A_{1}\cup A_{2}\cup A_{3})}[/tex]

P = [tex]\dfrac{P(A_{1})+P(A_{2})+P(A_{3})-2P(A_{1}\cap A_{2})-2P(A_{1}\cap A_{3})-2P(A_{2}\cap A_{3})+3P(A_{1}\cap A_{2}\cap A_{3})}{P(A_{1}\cup A_{2}\cup A_{3})}[/tex]

Put the value into the formula

[tex]P=\dfrac{0.11+0.08+0.05-2(0.06)-2(0.03)-2(0.02)+3(0.01)}{0.14}[/tex]

[tex]P=0.357[/tex]

Hence, The probability is 0.357

I WILL MARK BRAINLIEST!!!

What is 178.80 as a fraction?

Answers

Answer: 178 4/5 or as an improper fraction 894/5

Hope this helps!

Please mark Brainliest!

Answer:

178.80 = 178 + 0.8 = 178 + 8/10
178 8/10 = 178 4/5 or 895/5

In a paint store you’re mixing paint for a larger order. Paint requires mixture of 75% base 25% color. How many gallons of base should you mix for 4 gallons of color ?

Answers

12 gallons of base are needed

An eastern airport has recorded a monthly average of five near misses of landings and takeoffs in the past 5 years. We assume that the distribution of this number is Poisson. a. Find the probability that during a given month there are no near misses on landings and takeoffs at the airport. b. Find the probability that during a given month there are five near misses. c. Find the probability that there are at least five near misses during a particular month.

Answers

Answer:

The answer to this question can be defined as follows:

In option a "0.0067".

In option b "0.1755".

In option c "0.5595".

Step-by-step explanation:

It is about the distribution of Poisson:

[tex]\lambda = 5 (rate)[/tex]

t = 1

The formula for calculating Mean:  

[tex]\to \mu = \lambda \times t[/tex]

[tex]\to P(X=x) = \frac{e^{-\mu} \mu^{x}}{x!}[/tex]

calculate the value of Mean:

[tex]\to \mu =5 \times 1\\\\ \to \mu= 5[/tex]

In point a:

When the value of x is equal to 0:

[tex]\to P(X = 0) = \frac{e^{-5} 5^{0}}{0!}[/tex]

                    [tex]= \frac{e^{-5} \times 1 }{0}\\\\ = 0.0067 \times 1 \\\\ = 0.0067[/tex]

In point b:

When the value of x is equal to 5:

[tex]\to P(X = 0) = \frac{e^{-5} 5^{5}}{5!}[/tex]

                    [tex]= \frac{e^{-5} \times 3125 }{120}\\\\ = \frac{0.0067 \times 3125}{120} \\\\ = \frac{21.0560}{120}\\\\ =0.1754 \\\\[/tex]

In point c:

When the value of x is equal to 5:

[tex]\to P(X \ge 5) = 1 - P(X < 5) \\\\ \to P(X \ge 5) = 1 - P(X = 0) - P(X = 1) - P(X = 2) - P(X = 3) - P(X = 4) \\\\ \to P(X \ge 5) = 0.5595[/tex]

find the probability that there are no H when a fair coin is flipped three times.
(round the answer to 4 decimal points)​

Answers

Step-by-step explanation:

Probability of heads is 1/2, and the probability of tails is 1/2.  The probability of getting no heads (3 tails) is:

P = (1/2)³

P = 1/8

P = 0.1250

A box contains 8 white balls, 7 black balls, & 2 red balls.
a) how many red balls must be added to the box so that the probability of drawing a red ball is 8/9
b)how many black balls must be added to the original box so that the probability of drawing a white ball is 1/9?

Answers

Answer:

a) 118

b) 55

Step-by-step explanation:

a) Originally, there are 2 red balls and a total of 17 balls.

8/9 = (2 + x) / (17 + x)

8 (17 + x) = 9 (2 + x)

136 + 8x = 18 + 9x

x = 118

b) Originally, there are 8 white balls and a total of 17 balls.

1/9 = 8 / (17 + x)

17 + x = 72

x = 55

−9 1 /6 + 7 help thanks ;)

Answers

Hey there!

ANSWER: [tex]-2\frac{1}{6}[/tex]EXPLANATION:

[tex]-9\frac{1}{6}+7[/tex]

After that, multiply the whole number by the denominator and then add the numerator after you multiply.

[tex]-\frac{55}{6}+1[/tex]

[tex]9*6=54+1=55[/tex]

Now add the negative sign to 55.

[tex]\frac{-55}{6}+7[/tex]

[tex]\frac{-13}{6}[/tex]

Now simplify.

[tex]\frac{-13}{6}=-2\frac{1}{6}[/tex]

Hope this helps!

[tex]\text {-TestedHyperr}[/tex]

Ava is 23cm taller than Olivia, and Olivia is half the height of Lucas. If Lucas is is 1.78m tall, how tall is Ava and Olivia?

Answers

you must convert 1.89 meters into centimeters, which is 189 then divide it into 2, which is 94.5, then add 23, which is 117.5 so your answer is

117.5 !! good luck :)

Answer:

Ava = 1.12 m tall

Olivia =  0.89 m tall

Step-by-step explanation:

given;

Ava is 23cm taller then Olivia,

Olivia is half the height of Lucas.

If Lucas is 1.78m tall

find:

how tall are Ava and Olivia

-------------------------------------

Ava = Olivia + 0.23

Olivia = Lucas / 2

Lucas = 1.78

plugin values into the equation above

Olivia = 1.78 / 2

Olivia =  0.89 m tall

Ava = 0.89 + 0.23

Ava = 1.12 m tall

Help me ASAP plssssssssssssssss

Answers

Answer: it’s B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Will mark Brainliest!!!!! Suppose A, R, and B are collinear on AB, and
AR: AB = 1/4 What are the coordinates of R?

Please give explanation

Answers

Answer:

[tex]R(x,y) = (\frac{7}{4},\frac{1}{4})[/tex]

Step-by-step explanation:

Given

[tex]A = (1,-1)[/tex]

[tex]B = (4,4)[/tex]

[tex]AR:AB = 1:4[/tex]

Required

Determine R

This question will be solved using line ratio formula

[tex]R(x,y) = (\frac{mx_2 + nx_1}{m+n},\frac{my_2+ny_1}{m + n})[/tex]

Where

[tex]A = (1,-1)[/tex]

[tex]B = (4,4)[/tex]

[tex]m:n = AR : RB[/tex]

Since R is on A and B;

[tex]AB = AR + RB[/tex]

[tex]4 = 1 + RB[/tex]

[tex]RB = 3[/tex]

Hence;

[tex]m:n = 1 : 3[/tex]

[tex]A = (1,-1)[/tex]

[tex]B = (4,4)[/tex]

[tex]R(x,y) = (\frac{mx_2 + nx_1}{m+n},\frac{my_2+ny_1}{m + n})[/tex] becomes

[tex]R(x,y) = (\frac{1 * 4 + 3 * 1}{1+3},\frac{1 * 4 + 3 * -1}{1 + 3})[/tex]

[tex]R(x,y) = (\frac{4 + 3}{4},\frac{4 - 3}{4})[/tex]

[tex]R(x,y) = (\frac{7}{4},\frac{1}{4})[/tex]

1. Simplify (–6x2 + x – 5) + (9x2 – 3x+6). ​

Answers

Answer:

= 7-2x. is the answer :p

If Ben invests $3000 at 4% interest per year, how much additional money must he invest at 5.5 % annual interest to ensure that the interest he receives each year is 4.5 % of the total amount invested?

Answers

Answer:

$1500

Step-by-step explanation:

Investment 1 = $3000Interest 1 = 4%Investment 2 = xInterest 2 = 5.5%Total interest = 4.5%

Total interest:

3000*0.04 + x*0.055 = (3000+ x)*0.045    ⇒ multiply by 100 both sides3000*4 + 5.5x = 3000*4.5 + 4.5x                ⇒ parenthesis5.5x - 4.5x = 3000(4.5-4)                             ⇒ collect like termsx = 3000*0.5                                                ⇒ simplifyx = 1500                                                        ⇒ answer

Additional money is $1500

Which description is correct for the polynomial 4x2+3x−2?




quartic trinomial

cubic binomial

quadratic trinomial

cubic trinomial

Answers

Answer:

Step-by-step explanation:

quadratic trinomial, because the highest degree of x is 2 and the expression has 3 terms.

If you used the input value 12 in the function y=2x,what would be the output value

Answers

Answer:

24

Step-by-step explanation:

If you put 12 in for x, you would get y=2*12 and 2 times 12 is 24. I hope this helps :)

What is the value of the 3 in 513

Answers

Answer:

3

Step-by-step explanation:

513 = 500 + 10 + 3

The 5 is worth 500.

The 1 is worth 10.

And the 3 is worth 3 !

Answer:

The value of 3 in 513 is the ones place.

Step-by-step explanation:

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