The graph of a sinusoidal function intersects its midline at (0, 1) and then has a maximum point at
Write the formula of the function, where is entered in radians.
f(x) =

The Graph Of A Sinusoidal Function Intersects Its Midline At (0, 1) And Then Has A Maximum Point AtWrite

Answers

Answer 1

Answer:

  f(x) = 4·sin(2/7x) +1

Step-by-step explanation:

The sinusoidal function y = a·sin(kx) +b will have cross its midline at (0, b), and a peak value of (x, y) = (π/(2k), a+b). We can use these facts to find the values of a, k, and b for the sinusoidal function.

__

midline

  (0, b) = (0, 1)   ⇒   b = 1

peak value

  (7π/4, 5) = (π/(2k), a+1)

This gives rise to two equations:

  7π/4 = π/(2k)

  k = π/(2(7π/4)) = 2/7

and

  a+1 = 5

  a = 4

equation

Using the found values for the parameters of the function, we have ...

  f(x) = 4·sin(2/7x) +1

The Graph Of A Sinusoidal Function Intersects Its Midline At (0, 1) And Then Has A Maximum Point AtWrite

Related Questions

A small class has 10 students, 6 of whom are girls and 4 of whom are boys. The teacher is going to choose two of the students at random. What is the probability that the teacher will choose two girls? Write your answer as a fraction in simplest form.

Answers

Answer:

2

5

Step-by-step explanation:

fraction of girls in the class is 6

5

so........the total number of girls is 6 and only 2 are chosen,meaning you have to subtract 2 from 6 which is 4 and then 4

10(total number of students) is

2

5 when simplified

Simplify the following expression. (3m-4)²+8(3m-2)

A. 8m/4

B. 9m/4

C. 3m+24/4

D. 3m+28/4

Answers

Step-by-step explanation:

(3m-4)² + 8(3m-2) = (3m-4)(3m-4) + 24m - 16 =

= 9m² - 3m×4 - 4×3m + 16 + 24m - 16 =

= 9m² - 24m + 16 + 24m - 16 = 9m²

so, there is seemingly something missing in your original expression.

going from 9m², the most likely solution would be 9m/4 and therefore B.

but we cannot be sure, because again, I don't know what you left out in the beginning.

8. Higher Order Thinking There are points on a grid at (0, 0) and (3, 0).
a. What is a possible coordinate of the third vertex if the triangle has
a perimeter of 11 units? Explain.
b. Is there another point that could be the third vertex? Explain.
par poib
signe

Answers

Higher Order Thinking There are points on a grid at (0, 0) and (3, 0).

a. What is a possible coordinate of the third vertex if the triangle has

a perimeter of 11 units? Explain.

b. Is there another point that could be the third vertex? Explain.

par poib

signe

Rewrite each fraction with a denominator of 24. 2/3 and 5/8

Answers

Answer:

2/3 of 24 is 16/24

5/8 of 24 is 15/24

Step-by-step explanation:

if you multiply across 2/3 by 8/8 it equal to 16/24

if you multiply across 5/8 by 3/3 it equal to 15/24

Answer:

16/24 and  15/24

Step-by-step explanation:

To get the denominator in 2/3 to be 24 we multiply by 8 since 3 * 8 = 24, since we multiplied the denominator by 8 we must multiply the numerator by 8 as well to keep things equal, therefore 2 * 8 = 16, and we arrive at 16/24.
Likewise for 5/8, to get the denominator 8 to be 24, we multiply by 3, multiplying the numerator by 3 to keep things equal will result in 15/24.

what is the surface area

Answers

The surface area of a solid object is a measure of the total area that the surface of the object occupies.
Formula is SA=2lw+2lh+2hw

(3x + 1) + 8 (2x - 3) = 4 (3x -1) -7 (x -4) ayúdenme

Answers

Step-by-step explanation:

[tex](3x + 1) + 8(2x - 3) = 4(3x - 1) - 7(x - 4) \\ 3x + 1 + 16x - 24 = 12x - 4 - 7x + 28 \\ 19x - 23 = 5x + 24 \\ 19x - 5x = 24 + 23 \\ 14x = 47 \\ x = \frac{47}{14} [/tex]

Use the order of operations to evaluate the numerical expression.

Answers

Answer:

I'm sorry but I need some numbers to solve. we just learned this in class so I'm new though

Step-by-step explanation:

Needs numbers

What is the area of a triangle whose vertices are J(-2, 1), K(0, 3), and L(4,4)?

Answers

Answer: 3

Step-by-step explanation:

When Lillian goes bowling, her scores are normally distributed with a mean of 130
and a standard deviation of 11. Using the empirical rule, what percentage of the
games that Lillian bowls does she score between 119 and 141?

Answers

Using the Empirical Rule, it is found that she scores between 119 and 141 on 68% of the games that she bowls.

What does the Empirical Rule state?

It states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.Approximately 95% of the measures are within 2 standard deviations of  the mean.Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, considering that the mean is of 130 and the standard deviation is of 11, the interval between 119 and 141 is within one standard deviation of the mean, hence she scores between 119 and 141 on 68% of the games that she bowls.

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PLS ANSWER FOR MEEEE FAST TYYYYSMM

The following sphere has. A diameter of 18 cm.

Answers

Answer:

I think your answer is A, correct me if I'm wrong

The length of time it takes a worker to assemble a large product is assumed to be normally distributed. a random sample of 25 workers a were selected, and their times to assemble the product were recorded. the mean and variance for this sample were 3 and 0.5 hours, respectively.

the 90 percent confidence interval for the mean length of time (in hours) it takes a worker to assemble the product _____ hours to ______ hours

Answers

Using the t-distribution, it is found that the 90% confidence interval is of  2.71 hours to 3.29 hours.

What is a t-distribution confidence interval?

The confidence interval is:

[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]

In which:

[tex]\overline{x}[/tex] is the sample mean.t is the critical value.n is the sample size.s is the standard deviation for the sample.

The critical value, using a t-distribution calculator, for a two-tailed 95% confidence interval, with 25 - 1 = 24 df, is t = 2.0639.

The other parameters are given as follows:

[tex]\overline{x} = 3, s = \sqrt{0.5} = 0.707, n = 25[/tex]

Hence the bounds of the interval are given as follows:

[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 3 - 2.0639\frac{0.707}{\sqrt{25}} = 2.71[/tex]

[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 3 + 2.0639\frac{0.707}{\sqrt{25}} = 3.29[/tex]

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7!

——————-
————-

please help!!

——————
math geniuses where r uuuu

————

help!

Answers

Answer:

It is the fourth option, D.

Help me please help me

Answers

Answer:

j=-56

Step-by-step explanation:

Hi!

j-38 = -95

Because -95 is negative, j has to be less than one. If a negative is subtracted off of a negative, the number becomes smaller -95+39= j.

-95+39=-56

Answer:

j = -56

Step-by-step explanation:

j - 39 = -95

Add 39 to both sides:

j - 39 = -95

 + 39  + 39

j = -56

Final answer: j = -56

Hope this helps!

Work out the surface area of this cylinder

Answers

Answer:

in terms of pi: 24pi cm squared

substituting pi for 3.14: 75.36 cm squared

Step-by-step explanation:

8pi + 16pi = 24pi

There were 16 teams that competed in men's ice hockey at the Salt Lake City Olympics of 2002.
Find the number of permutations for the gold, silver, and bronze metals at the awards ceremony.

Answers

Answer:

3360.

Step-by-step explanation:

That would be the number of permutations of 3 from 16.

= 16P3

= 16!/(16-3)!

= 16*15*14

= 3360

Answer:

3 360 permutations

Step-by-step explanation:

the number of permutations :

16P3 = 16 × 15 × 14 = 3 360

!!100!! POINTS PLEASE HELP

Answers

Answer:

[tex]\sf x = 6\dfrac{2}{3} \ \ or \ \ 6.67 \ (rounded \ to \ nearest \ hundreth)[/tex]

Build a proportional equation:

[tex]\rightarrow \sf \dfrac{AB}{AD} = \dfrac{BC}{DE}[/tex]

[tex]\rightarrow \sf \dfrac{10}{x+10} = \dfrac{6}{10}[/tex]

[tex]\rightarrow \sf 10(10) = 6(x+10)[/tex]

[tex]\rightarrow \sf 100 = 6x+60[/tex]

[tex]\rightarrow \sf 40= 6x[/tex]

[tex]\rightarrow \sf x = 40/6[/tex]

[tex]\rightarrow \sf x = \dfrac{20}{3}[/tex]

[tex]\rightarrow \sf x = 6\dfrac{2}{3}[/tex]

Answer:

Step-by-step explanation:

1. Create a porportianal equation. ab/ad=bc/de

2. plug in the variables for each line segment. 10/x+10=6/10

3. multiply each side by x + 10.      (6x+60)/10=10

4. Multiply each side by 10.    6x+60=100

5. simplify.    6x=40       3x=20

6. divide each side by 3.    x=20/3

(Sorry about my last answer)

Julianna has thirty two pieces of candy in a candy jar. Julianna only has two kinds of candy.
jolly rangers and twix. For every four twix bars, she has two pieces of jolly rangers. How many
pieces of each candy are in the candy jar?

Answers

The number of jolly rangers candy she has is 22. The number of twix bars she has is 11.

What are the linear equations that represent this question?

j + t = 33 equation 1

4t = 2j

j = 2t equation 2

Where:

j = number of jolly rangers

t = j = number of twix

How many twix candies does Julianna have?

Substitute for j in equation 1 using equation 2

2t + t = 33

3t = 33

t = 11

How many jolly candies does Julianna have?

Subsitute for t in equation 2

j = 11 x 2 = 33

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Find the volume of the cone.
Either enter an exact answer in terms of π or use 3.14 for π and round your final answer to the nearest hundredth.

Answers

Answer:

[tex]V=12\pi\:\text{units}^3[/tex]

Step-by-step explanation:

[tex]\displaystyle V=\frac{\pi r^2h}{3}\\ \\V=\frac{\pi (3)^2(4)}{3}\\\\V=\pi(3)(4)\\\\V=12\pi[/tex]

0.596 as a fraction and 0.596 as a percentage.

Answers

596/1000 and 59.6%

Step-by-step explanation:

because when we make 596/1000 is 0.596

What are the period, phase shift, and vertical shift of y = csc[3(x 4)] 6?

Answers

The period of the given function is  2π/3, the phase shift is 4, and the vertical shift is 6 units.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a trigonometric function:

y = csc[3(x+ 4)]+ 6

Every each revolution of 2π the function repeats the same value for every x.

The period of the original function is 2π

For the given function plug 2π

y = csc[3(x+ 4)+2π]+ 6

y = csc[3(x+ 2π/3+4)]+ 6

The period of the function will be 2π/3

From the function, the phase shift = 4

And vertical shift = 6

Thus, the period of the given function is  2π/3, the phase shift is 4, and the vertical shift is 6 units.

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Option 3

Step-by-step explanation:

please help me with this

Answers

A B and F seem like questions that make sense :)

Answer:

Abc

Step-by-step explanation:

they make the most reasonable answers

Connor is 6 feet tall and casts a shadow that is 2.5 feet long. He stands next to a tree that is 25 feet tall. How long is the shadow the tree casts? Round your numerical answer to the nearest whole number.

Answers

Answer:

10

Step-by-step explanation:

[tex]\frac{6}{2.5} =\frac{25}{x} \\6x=2.5*25\\6x=62.5\\x=10.417=10[/tex]

The Tree casts a height of 10.41 feet tall.

What is Proportion?

In general, the term "proportion" refers to a part, share, or amount that is compared to a total.

According to the concept of proportion, two ratios are in proportion when they are equal.

According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.

Given:

Connor is 6 feet tall and casts a shadow that is 2.5 feet long.

He stands next to a tree that is 25 feet tall.

let the shadow of tree is x feet long.

Using proportion

6/ 2.5 = 25/x

6x = 62.5

x= 10.41 feet

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What is the greatest common factor of

21xy^3 6x^4y^2

A. 42x^4 y^3

B. 42x^5 y^5

C. 3x^4 y^3

D. 3xy^2

Answers

The answer is D. 3xy^2

I need help PLEASE HELPP

Answers

Answer:

1 and 5 are corresponding angle

8 and 4 are corresponding angle

4 and 6 are alternate interior angle

2 and 8 are alternate exterior angle

7 and 3 are corresponding angle

2 and 6 are corresponding angle

3 and 5 are alternate interior angle

1 and 7 are alternate exterior angle

What is the solution of rootindex 3 startroot x 8 endroot = negative 4?

Answers

The solution to the equation [tex]\sqrt[3]{x + 8} = -4[/tex] is x = 72

How to determine the solution?

The equation is given as:

[tex]\sqrt[3]{x + 8} = -4[/tex]

Take the cube of both sides

x + 8 = -64

Subtract 8 from both sides

x = 72

Hence, the solution to the equation [tex]\sqrt[3]{x + 8} = -4[/tex] is x = 72

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Using the identity sin? O + cos? O = 1, find the value of tan O, to the nearest
hundredth, if sin 0 = 0.27 and 0 < 0 < 7

Answers

Answer:

3.7

Step-by-step explanation:

Given

sin²θ + cos²θ = 1sinθ = 0.27

Solving for cosθ

cos²θ = 1 - sin²θcos²θ = 1 - (0.27)²cos²θ = 0.0729

Finding tanθ

tanθ = sinθ / cosθtanθ = 0.27 / 0.0729tanθ = 3.7

Verifying it lies in the range

θ = tan⁻¹ (3.7)θ = 74.88° Range is : 0 < θ < π/2 [or 0 < θ < 90°]It lies in the range [Verified]

Below is the work a student completed with an error. Identify the step where the error first occured an
Step 1: (7 - 10) – 2(6y - 5) + 17
Step 2: (3) - 12y – 5 + 17
Step 3:3 - 12y + 12
Step 4: - 12y + 15
А
Step 2
B
Step 3
C
Step 4
D
Answer should be 12y - 9
E
Answer should be 12y + 9
C2022 Illuminate Education, Inc.
TM

Answers

Answer:

Step 2

Step-by-step explanation:

Solving

(7 - 10) - 2(6y - 5) + 17 [Step 1]3 - 12y + 10 + 18 [Step 2]3 - 12y + 28 [Step 3]-12y + 31 [Step 4]

The error has occurred in Step 2.

The distribution of -2 to 6y and -5 gives -12y and 10 respectively.

Instead, the distribution has not happened between -2 and -5.

What is 3,740,231,580 rounded to the nearest million

Answers

Step-by-step explanation:

3,740,231,580

we normally start rounding from the end so the last number should be checked. If it's not more than 5, then make it a zero and move on to the next. if it's more than five, make the number zero and add 1 to the the next number. So this is how it will look.

3,740,231,580

3,740,231,580

3,740,231,590

3,740,231,600

3,740,232,000

3,740,230,000

3,740,200,000

3,740,000,000

And I think that's it

We have a part-whole ratio of 2 : 10. How can we represent this ratio as a percent?

Answers

since there’s a 10 multiple both sides by 10 and it gives you 20/100 which is 20%

Answer:

20%

Step-by-step explanation:

2:10 = 2/10 = 20/100 = 20%

8. (06.04 MC)
Find the total surface area of a cylinder with a height of 8 cm and radius of 4 cm. Leave your answer in terms of r. (1 point)
O 80 cm²
96 cm²
128 cm²
192 cm²

Answers

The total surface area of the cylinder in terms of π is 96π cm². The correct option is the second option 96π cm²

Calculating Total surface area of a Cylinder

From the question, we are to determine the total surface area of the cylinder

The total surface area of a cylinder can be calculated by using the formula,

T.S.A = 2πr² + 2πrh = 2πr(r +h)

Where r is the radius

and h  is the height

From the given information,

h = 8 cm

r = 4 cm

Putting the parameters into the formula, we get

T.S.A = 2π×4(4 +8)

T.S.A = 8π(12)

T.S.A = 96π cm²

Hence, the total surface area of the cylinder in terms of π is 96π cm². The correct option is the second option 96π cm²

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