What’s the amplitude,period,equation of axis, and range for y=3sin[2(x+90)]?

Answers

Answer 1

Answer:

amplitude: 3period: πaxis: y = 0range: [-3, +3]

Step-by-step explanation:

The amplitude is the multiplier of the sine function: 3.

The period is 2π divided by the coefficient of x: 2π/2 = π.

The equation of the axis is any added constant: y = 0.

The range is the axis value ± the amplitude value: from -3 to +3.


Related Questions

Given the sample data below, test the claim that the proportion of male voters who plan to vote Republican at the next presidential election is 15 percentage points more than the percentage of female voters who plan to vote Republican. Assume all requirements are met. Use the P-value method of testing hypotheses.
Men: n1 = 250, x1 = 146
Women: n2 = 202, x2 = 103

Answers

Answer:

[tex]z=\frac{0.584-0.510 -0.15}{\sqrt{0.551(1-0.551)(\frac{1}{250}+\frac{1}{202})}}=-1.615[/tex]    

The p value would be given by:

[tex]p_v =P(Z<-1.615)= 0.0531[/tex]    

The p value if is compared with a significance of 5% we see that is higher than 0.05 so then at this significance level we have enough evidence to conclude that the true difference in the proportion of males in favor is 15% more than the % of females in favor

Step-by-step explanation:

Information provided

[tex]X_{1}=146[/tex] represent the number of male in favor

[tex]X_{2}=103[/tex] represent the number of female in favor

[tex]n_{1}=250[/tex] sample of males selected

[tex]n_{2}=203[/tex] sample of females selected

[tex]p_{1}=\frac{146}{250}=0.584[/tex] represent the proportion of males in favor

[tex]p_{2}=\frac{103}{202}=0.510[/tex] represent the proportion of females in favor

[tex]\hat p[/tex] represent the pooled estimate of p

z would represent the statistic

[tex]p_v[/tex] represent the value

System of hypothesis

We want to test if the proportion of males in favor is 0.15 point above the proportion of females, the system of hypothesis would be:    

Null hypothesis:[tex]p_{1} - p_{2} \geq 0.15[/tex]    

Alternative hypothesis:[tex]p_{1} - p_{2} <0.15[/tex]    

The statistic is given by:

[tex]z=\frac{p_{1}-p_{2} -0.15}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{1}}+\frac{1}{n_{2}})}}[/tex]   (1)  

Where [tex]\hat p=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{146+103}{250+202}=0.551[/tex]  

Replacing the info given we got:

[tex]z=\frac{0.584-0.510 -0.15}{\sqrt{0.551(1-0.551)(\frac{1}{250}+\frac{1}{202})}}=-1.615[/tex]    

The p value would be given by:

[tex]p_v =P(Z<-1.615)= 0.0531[/tex]    

The p value if is compared with a significance of 5% we see that is higher than 0.05 so then at this significance level we have enough evidence to conclude that the true difference in the proportion of males in favor is 15% more than the % of females in favor

which of the following correctly shows the quotient of 75 divided by 5?

Answers

Answer:

15

Step-by-step explanation:

in multiplication we have given form of expression

Dividend(D) = Quotient(Q) x Divisor(d) + Remainder(r)

The number which is getting divided is called dividend

divisor is the number which divides the dividend.

quotient is the No. of times a dividend is divisible by divisor.

if dividend is not completely divisible by divisor then leftover after quotient * divisor is remainder.

value of remainder should be always less than divisor.

In  the problem given

Dividend is 75

divisor is 5

so by the given above expression

Dividend(D) = Quotient(Q) * Divisor(d) + Remainder(r) ----> 1

we know that 15*5 = 75

75 = 15*5 + 0

comparing with the  expression 1

we have q = 15

r = 0

Thus, quotient is 15.

What is the value of x in the equation
3x - y = 30, when y = 15?

Answers

Answer:

x = 15

Step-by-step explanation:

3x - y = 30

Let y = 15

3x - 15 = 30

Add 15 to each side

3x-15+15 = 30+15

3x= 45

Divide each side by 3

3x/3=45/3

x = 15

Answer

x=15

Step-by-step explanation:

[tex]3x - y = 30 \\ 3x = 30 + y \\ x = \frac{30 + y}{3} \\ \\ [/tex]

[tex]y = 15[/tex]

[tex]x = \frac{30 + y}{3} \\ x = \frac{30 + 15}{3} \\ x = \frac{45}{3} \\ x = 15[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

The human eye has different levels of sensitivity for different wavelengths of light. We can measure this sensitivity by comparing it (in percentages) to the highest possible sensitivity. S(w), left parenthesis, w, right parenthesis models sensitivity as a function of wavelength w (in nanometers). Match each statement with the feature of the graph that most closely corresponds to it. Feature Statement

Answers

Answer:

1. A wavelength of 320

2.the human eye 560

3.As the wavelength grows beyond 560

Step-by-step explanation:

W=560

The feature of the graph that most closely corresponds to it is W=560.

We have given that,

The human eye has different levels of sensitivity to different wavelengths of light.

We can measure this sensitivity by comparing it (in percentages) to the highest possible sensitivity. S(w), left parenthesis, w, right parenthesis models sensitivity as a function of wavelength w (in nanometers).

What is wavelength?

The distance between successive crests of a wave especially points in a sound wave or electromagnetic wave.

Therefore the correct matches are given below,

1. A wavelength of 320

2. The human eye 560

3. As the wavelength grows beyond 560

W=560

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The Retail Advertising and Marketing Association would like to estimate the average amount of money that a person spends for Mother's Day with a 99% confidence interval and a margin of error within plus or minus $6. Assuming the standard deviation for spending on Mother's Day is $36, the required sample size is ________.
A) 313 B) 284 C) 210 D) 239

Answers

Answer:

D) 239

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1-0.99}{2} = 0.005[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1-\alpha[/tex].

So it is z with a pvalue of [tex]1-0.005 = 0.995[/tex], so [tex]z = 2.575[/tex]

Now, find the margin of error M as such

[tex]M = z*\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

Required sample size:

Is n

n is found when [tex]M = 6[/tex]

We have that [tex]\sigma = 36[/tex]

So

[tex]M = z*\frac{\sigma}{\sqrt{n}}[/tex]

[tex]6 = 2.575*\frac{36}{\sqrt{n}}[/tex]

[tex]6\sqrt{n} = 36*2.575[/tex]

Simplifying by 6

[tex]\sqrt{n} = 6*2.575[/tex]

[tex](\sqrt{n})^{2} = (6*2.575)^{2}[/tex]

[tex]n = 238.7[/tex]

We round up, and the answer is 239.

Two lines intersect to form 4 angles. Angles 2 and 4 are vertical angles with angle 2 = 4x + 12 and angle 4 = 7x - 6. a) Find x. b) What is the measure of angle 2 ?

Answers

Answer:

Does this help?

Step-by-step explanation:

2 = 4x + 12 and angle 4 = 7x - 6

Use the slope-intercept form to find the slope and y-intercept.

Slope: 0

y-intercept: 4

Use the slope-intercept form to find the slope and y-intercept.

Slope: 0

y-intercept: 2

Use the slope-intercept form to find the slope and y-intercept.

Slope: 0

y-intercept: 4

Graph 2= 4x + 12

Slope: Undefined

y-intercept: No y-intercept

Plot each graph on the same coordinate system.

4=

2=

4=

2= 4x + 12

4= 7x − 6

Simplify the expression 12k-2+6k

A. 16k2
B. 10k+6
C. 18k-2
D. 16k

Answers

12k-2+6k

find like terms and put them next to each other

12k+6k-2

combine like terms

18k-2

C

Answer:

16k so it is D

Step-by-step explanation:

Which statement about a sphere is true?

Answers

Answer:

it is 3D

Step-by-step explanation:

Answer:

Its 3 dimensional

Step-by-step explanation:

I took the test

Which phrase represents the algebraic expression – 0472
the product of one-fourth and a number, plus seven
the product of seven and a number
the product of one-fourth and seven, plus a number
the product of seven and one-fourth

Answers

The product of one-fourth and a number plus 7 - 7.25
The product of 7 and a number - 11
The product of one-fourth and seven, plus a number - 11.25
The product of seven and one-fourth - 7.25

What is the area of the trapezoid? If necessary, round your answer to the nearest tenth. A trapezoid with bottom side length of 8.5 feet, top side length of 5.5 feet, and height of 6.5 feet. 35.8 feet squared 45.5 feet squared 46.8 feet squared 55.3 feet squared

Answers

Answer:

45.5 sq. feet

Step-by-step explanation:

Area of trapezoid is given by 1/2(sum of parallel sides) * height of trapezoid.

In the problem

Parallel sides are  bottom and top sides with  length of 8.5 feet and 5.5 feet

Thus sum of Parallel sides =  8.5 feet + 5.5 feet = 14 feet

Height =  6.5 feet.

Thus,

area of  trapezoid = 1/2*(14)* 6.5 feet = 7*6.5 feet = 45.5 sq. feet

The area of the trapezoid is whose sides are 8.5 feet and 5.5 feet with a height of 6.5 feet is 45.5 feet squared.

What is the area of a trapezoid?

A trapezoid is a quadrilateral with parallel opposite sides and a height.

Mathematically, the area of a trapezoid can be calculated by using the expression:

[tex]\mathbf{Area \ of\ a \ trapezoid = \dfrac{1}{2}(a+b)\times h}[/tex]

where:

a and b =the two parallel sides of the trapezoidh = height

[tex]\mathbf{Area \ of\ a \ trapezoid = \dfrac{1}{2}(8.5+5.5)\times 6.5}[/tex]

[tex]\mathbf{Area \ of\ a \ trapezoid = \dfrac{1}{2}(14)\times 6.5}[/tex]

[tex]\mathbf{Area \ of\ a \ trapezoid = 45.5 \ ft^2}[/tex]

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Angles R and S are complementary if m <R=65.3 what is the measure of <S?​

Answers

Answer:

Step-by-step explanation:

if angles are complementary, that means they add up to 90º

if one is 65.3, then the other is just 90 - 65.3

<S = 90º - <R

<S = 90º - 65.3º

<S = 24.7º

What is 9+10 please help I have 1 minute left, please

Answers

Answer:

21

Step-by-step explanation:

9 = 3*3

10 = 5*2  

5*3 = 15

2*3 = 6

15 + 6 = 21

Una tirolina de 26 m de largo está atada entre dos postes que están separados por 24 m. Si Manuela monta la tirolina desde el primer poste a una altura de 50 m, ¿cuál es la diferencia entre los dos postes?

Answers

Answer:

The difference between the heights of the poles is 10m

Step-by-step explanation:

The distance between poles is 24 m

The length of the cable is 26m

You first use the Pythagoras' theorem to calculate the vertical distance between the end of one pole and the end of the other one.

[tex]c_2=\sqrt{h^2-c_1^2}\\\\c_2=\sqrt{(26m)^2-(24m)^2}=\sqrt{100}m=10m[/tex]

The difference between the heights of the poles is 10m

The higher pole has height of 50m

Then, the lower pole has a height of 50m - 10m = 40m

Help please

The best answer gets brainliest.

Answers

Elon musk is confused too. I need more detail what amount of what

A triangular prism. The rectangular sides are 5 feet by 4 feet, 5 feet by 5 feet, and 5 feet by 3 feet. The triangular sides have a base of 4 feet and height of 3 feet. [Not drawn to scale] 60 square feet 72 square feet 82 square feet 84 square feet

Answers

Answer:

72ft²

Step-by-step explanation:

Calculate the area of each face and then sum them.

area of base = 4 × 5 = 20 ft²

area of back = 5 × 3 = 15 ft²

area of sloping face = 5 × 5 = 25 ft²

area of 2 triangular faces = 2 ×  × 4 × 3 = 4 × 3 = 12 ft²

Thus

surface area = 20 + 15 + 25 + 12 = 72 ft²

Whoever answers CORRECTLY will get Brainliest. Do not answer if you don’t know. Don’t guess either. I want all correct answers. I’m on limited time here so I apologize if I come off as rude. If you cannot see all the words zoom out and then zoom in again so you’ll be able to solve the whole problem. Thank you in advance and God Loves you!

Answers

Answer: 18 cm^2

Step-by-step explanation:

There are four equal triangle and a rectangle.

Formula of a rectangle = b * h = 2*3 = 6

Formula of triangle =  [tex]\frac{bh}{2}[/tex] but there four of them so we times them by 4, this leaves us with 2 (b * h) = 2(2*3) = 12

Area of pentagon = area of all triangles + rectangle

Area of pentagon = 12 + 6 = 18

Hope this helps.

Answer:

* Area of Pentagon ⇒ 18 cm^2 *

Step-by-step explanation:

Two of this triangles area are the same provided they are present with similar height and base length. They form a larger triangle such that, for the simplicity, let us start with finding the area of this larger triangle;

Area of Triangle ⇒ 1/2 * base * height ⇒ 1/2 * 6 * 2 ⇒ 6 cm^2

Now there is a similar issue with another two triangles, but they are present to not form a larger triangle. We could imagine that they are next to one another however, and solve for this larger triangle's area;

Area of Triangle ⇒ 1/2 * base * height ⇒ 1/2 * 4 * 3 = 6 cm^2

The last remaining shape is a rectangle, present with dimensions 3 by 2 centimeters such that it's area would be;

Area of Rectangle ⇒ base * height ⇒ 3 * 2 = 6 cm^2

The area of the pentagon is, consecutively;

Area of Pentagon ⇒ 6 + 6 + 6 = 18 cm^2

A college entrance exam company determined that a score of 24 on the mathematics portion of the exam suggests that a student is ready for​ college-level mathematics. To achieve this​ goal, the company recommends that students take a core curriculum of math courses in high school. Suppose a random sample of 250 students who completed this core set of courses results in a mean math score of 24.5 on the college entrance exam with a standard deviation of 3.3.
a) Do these results suggest that students who complete the core curriculum are ready for​ college-level mathematics? That​ is, are they scoring above 24 on the math portion of the​ exam?
b) State the appropriate null and alternative hypotheses.

Answers

Answer:

a) The Z -value 2.397 < 2.576 at 99% or 0.01% level of significance

Null hypothesis is accepted at  0.01% level of significance

They score is above 24 on the math portion of the​ exam

b)

Null Hypothesis: There is no significance difference between the college level mathematics and math courses in high school

H₀: μ = 24

Alternative Hypothesis: H₁: μ ≠ 24

Step-by-step explanation:

Step(i):-

Given random sample 'n' = 250

Given data sample mean x⁻ = 24.5

Standard deviation = 3.3

Null Hypothesis: There is no significance difference between the college level mathematics and math courses in high school

H₀: μ = 24

Alternative Hypothesis: H₁: μ ≠ 24

test statistic

[tex]Z = \frac{x^{-} - mean}{\frac{S.D}{\sqrt{n} } }[/tex]

[tex]Z = \frac{24.5 - 24}{\frac{3.3}{\sqrt{250} } } = \frac{0.5}{0.2087} = 2.397[/tex]

a) 99% or 0.01% level of significance

Level of significance ∝ = 0.01

[tex]Z_{\frac{\alpha }{2} } = Z_{\frac{0.01}{2} } = Z_{0.005} =2.576[/tex]

The Z -value 2.397 < 2.576 at 99% or 0.01% level of significance

Null hypothesis is accepted at  0.01% level of significance

They score is above 24 on the math portion of the​ exam

b) 95% or 0.05% level of significance

Level of significance ∝ = 0.05

[tex]Z_{\frac{\alpha }{2} } = Z_{\frac{0.05}{2} } = Z_{0.025} = 1.96[/tex]

The Z -value 2.397 > 1.96 at 95% or 0.05% level of significance

Null hypothesis is Rejected at  0.05% level of significance

They score is below 24 on the math portion of the​ exam

If you come across this please try to solve the attachment below.

Answers

Answer:

Area of each triangle = 4 * 1.5 = 6  sq cm

Area of all 4 triangle = 4 * 6 = 24 sq cm

Step-by-step explanation:

$5000 was invested into an account that earns an annual rate of 4.75%. If money is compounded monthly, how much will the account be worth after 3 years?

Answers

Answer:

  $5764.14

Step-by-step explanation:

The future value formula is useful here.

  FV = P(1 +r/n)^(nt)

where P is the principal invested, r is the annual rate, n is the number of times per year interest is compounded, and t is the number of years.

  FV = $5000(1 +.0475/12)^(12·3) = $5764.14

The account will be worth $5764.14 after 3 years.

Write an equation in slope-intercept form of the line shown

Y=
Can someone help with the answer??

Answers

Answer:

y= -1/2 + 1

Step-by-step explanation:

It starts at +1 which is the B in y=mx+b. B is where a point touches the y-axis.

starting at a point: (-2,2), it goes down 1, and right 2. which now the slope is -1/2 because it is going down.

Reading and similar triangles
In the diagram below of MADE, B is a point on AE and C
is a point on AD such that BC is parallel to ED. AC = x - 5,
AB = 15, BE = 40,, and AD = 2x + 3. Find the value of x
and the length of CD
A

Answers

Answer:

x = 12.8CD = 20.8

Step-by-step explanation:

The parallel lines create similar triangles, so corresponding sides are proportional.

  AC/AD = AB/AE

  (x -5)/(2x +3) = 15/(15+40)

Cross-multiplying gives ...

  55(x -5) = 15(2x +3)

  55x -275 = 30x +45 . . . . eliminate parentheses

  25x = 320 . . . . . . . . . . . . add 275-30x

  x = 12.8 . . . . . . . . . . . . . . .divide by 25

__

CD = AD -AC = (2x +3) -(x -5) = x +8 = 12.8 +8

CD = 20.8

help i needs hep will mar brainliest!

Answers

Answer:

B

Step-by-step explanation:

Have a wonderful day hope this helps

Evaluate 8j-k+14 when j=0.25 and k=1

Answers

Hey Mate

Substitute

8(.25)-1+14

2-1+14

1+14

15

Hope it helps

So the right answer is 15.

Look at the attached picture

Hope it will help you

Is (0,7) a solution for the equation 2x + y = 6

Answers

Answer:

no

Step-by-step explanation:

plug numbers into equation

2x + y = 6

2*0 + 7 = 6

0+7=6

7=6

False

Answer:

0.7 is not a solution for the equation 2x+y = 6

Step-by-step explanation:

If you calculate it....

2 x 0 + 7 = 6

does not make any sense because

2 x 0 = 0

0 + 7 = 7 not 6

How is 5,328 represented in expanded notation

Answers

Answer:

5000

300

20

8

would be your answer :)

Volume of a rectangular prism is 15.75 in.³ the base has an area 10.5 in.² what is the height of the prism?

Answers

Answer:

Volume of a rectangular prism is 15.75 in.³ the base has an area 10.5 in.²

We also have:

Volume of a rectangular prism (V) = base area x height

=> height  = V/base area = 15.75/10.5 = 1.5 in

Hope this helps!

:)

The volume of the cylinder pi cm.^3. What is the volume of a cone with the same base and height as the cylinder

Answers

Radius times pi times height I believe

Brian invests £4000 into his bank account.
He receives 7% per year compound interest.
How many years will it take for Brian to have more than £8000?

Answers

It will take Brian 10 years to have more than 8000

Answer:

It will take for Brian 7.14 years.

Step-by-step explanation:

I=PRT

4,000=8,000*7/100*T

4,000=560T (then you divide 560 from both sides.)

T=7.14

please answer fast im having trouble please help

Answers

Answer:

For the first question the answer is B

For the second question the answer is 15

Step-by-step explanation:

In the picture we can see that 45 is equal to 3 z's, which can also be written as 45 = 3z. Now that we know that 45 = 3z, we can divide both sides by 3 so that we know what z equals.

45 (/3) = 3z (/3)

15 = z

Now we can see that z is equal to 15

Answer:

The answer is B

Step-by-step explanation: 45 is =3z because it shows three triangles in the expression and three z variables so when you add all the variable together you get 3z, hence 45=3z. And the value of z is 1 because like all variables unless the expression accounts for the number of variable they all start out to have only one.

We suspect the overall mean monthly rent of apartments in Shadyside is higher than in Oakland, so we survey a random sample of Oakland apartments, and a random sample of Shadyside apartments.
1. Which of the following is the most appropriate statistical test to use to determine if the overall mean monthly rent of apartments in Shadyside is higher than in Oakland?
a. Chi-squared test for independence
b. Inference for regression
c. Matched pairs t-test
d. ANOVA
e. Two-sample t-test

Answers

Answer:

e. Two-sample t-test.

Step-by-step explanation:

This is simply because you only have interval level of measure and you are comparing two populations.

Moreso, this hypothesis test is used to determine questions related to the mean in situations where data is collected from two random data samples. The two sample T-test is often used for evaluating the means of two variables or distinct groups, providing information as to whether the means between the two populations differs. It also can be used to compare the responses of males and females who have each received different treatment within an experiment.

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