What is the general equation of a sine function with an amplitude of 6, a period of startfraction pi over 4 endfraction, and a horizontal shift of startfraction pi over 2 endfraction?

Answers

Answer 1

Answer:

  f(x) = 6·sin(8(x -π/2))

Step-by-step explanation:

A transformed sine function with amplitude A, period P, and horizontal shift S can be written as ...

  f(x) = A·sin(2π/P(x -S))

__

The equation for A=6, P=π/4, and S=π/2 is then ...

  f(x) = 6·sin(8(x -π/2))

_____

Additional comment

The horizontal shift is equal to two full periods, so the shifted function is indistinguishable from the unshifted function.

What Is The General Equation Of A Sine Function With An Amplitude Of 6, A Period Of Startfraction Pi

Related Questions

A music store charges for lessons
according to the table below. If the store
charges a constant rate of dollars to time,
which of the following could fill the empty
row?
Time (min) Cost

a. 50 minutes for $40
o Yes O No
b. 60 minutes for $42
o Yes No
c. 70 minutes for $56
o Yes No
d. 90 minutes for $72
o Yes No

Answers

Rate of change:-

(30,24)(40,32)

Slope:-

m=32-24/40-30m=8/10=4/5

So

Next time is off course 50 .

Price should be calculated

y=50(4/5)=10(4)=40

Option A✓

Check all

Option B:-

42=(4/5)(60)42=4(12)

No

Option C

56=4/5(70)56=4(14)

yes

Option D

72=4/5(90)72=4(18)

Yes

Please help just this that's all​

Answers

Answer:

7 × 10⁴ (option D.)

Step-by-step explanation:

Take the missing value as 'x'.

5 × 10³ + x = 7.5 × 10⁴

x = (7.5 × 10⁴) - (5 × 10³)

x = (7.5 × 10000) - (5 × 1000)

x = 75000 - 5000

x = 70000

x = 7 × 10⁴ (option D.)

______

Hope it helps ⚜

given:

[tex]5 \times {10}^{3} + ....... = 7.5 \times {10}^{4} [/tex]

to find:

the true equation

solution:

let the unknown be y

[tex]y = (7.5 \times {10}^{4} ) - (5 \times {10}^{3} )[/tex]

[tex]y = (7.5 \times 10000) - (5 \times 1000)[/tex]

[tex]y = 75000 - 5000[/tex]

[tex]y = 70000[/tex]

[tex]y = 7 \times {10}^{4} [/tex]

therefore, the correct answer is option D

The mayor wants to know how the people of the city feel about a bottle tax. she sends her staff to a randomly selected block in each of the city's election districts. the staff members interview all the residents on the block that are home that day. what is the population? all the people in the city all the people who live on the block all the people who live on the block and are home that day

Answers

The population is all the people in the city, and sample is all the people who live on the block and are home that day.

What are population and sample?

It is defined as the group of data having the same entity which is related to some problems. The sample is a subset of the population, it is a part of the population.

The mayor wants to know how the people of the city feel about a bottle tax. She sends her staff to a randomly selected block in each of the city's election districts.

According to the definition of the population, we can say that the population is all the people in the city because they are the same entity which have to be tested to know how the people of the city feel about a bottle tax.

If we identify the sample, so the sample is all the people who live on the block and are home when the staff members interview all the resident on the block that are home that day.

Thus, the population is all the people in the city and sample is all the people who live on the block and are home that day.

Learn more about the population and sample here:

brainly.com/question/9295991

Answer:

The mayor wants to know how the people of the city feel about a bottle tax. She sends her staff to a randomly selected block in each of the city's election districts. The staff members interview all the residents on the block that are home that day.

(A) or All the people in the city

the second part (C) or all the people who live on the block and are home that day

Step-by-step explanation:

got it right on edg

Please Help With This!!!
Will try to give out brainliest!!!

Answers

Second, fourth and fifth.

2^4 = 2*2*2*2 =16
4^2= 4*4 =16
16^1= 16=16

Answer: [tex]2^4,4^2,16^1[/tex]

Step-by-step explanation:

Let's evaluate each expression

Remember the little number that is the exponent means to multiply that number by itself that amount of times

[tex]8^2=[/tex]8×8=64 this is not 16

[tex]2^4=[/tex]2×2×2×2=4×4=16

[tex]2^8[/tex] we already know [tex]2^4[/tex] was enough so this must be over 16 and incorrect

[tex]4^2=[/tex]4×4=16

[tex]16^1[/tex]=16

A survey of customers at a restaurant revealed that 7 out of 10 customers preferred the restaurants new spaghetti sauce. Which graph shows a relationship between y, the number of customers who preferred the new spaghetti sauce, and x, the total of customers?

Answers

The graph that shows the proportional relationship y = 0.7x is Graph A.

What is a proportional relationship?

A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:

y = kx

In which k is the constant of proportionality.

In this problem, 7 out of 10 customers preferred the restaurants new spaghetti sauce, hence the constant is given by:

k = 7/10 = 0.7.

And the equation is:

y = 0.7x.

When x = 0, y = 0, which already eliminates graphs C and D. When x = 10, y = 7, which means that Graph A is the answer to this question.

More can be learned about proportional relationships at https://brainly.com/question/10424180

Which description compares the vertical asymptote(s) of Function A and Function B correctly?

Function A: f(x) = 1/x-1
Function B: (see photo)


A. Function A has a vertical asymptote at x = 1.
Function B has a vertical asymptote at ​x = 0​.

B. Function A has a vertical asymptote at x = 1.
Function B has a vertical asymptote at x=−3.

C. Function A has a vertical asymptote at x=−1.
Function B has a vertical asymptote at x=−3.

D. Both functions have the same vertical asymptote.

Answers

Answer:

B. Function A has a vertical asymptote at x = 1.

Function B has a vertical asymptote at x=−3.

Step-by-step explanation:

You can see from the diagram that the asymptope is x = -3, but to find the asymtope for the function make denominator equal to 0 and solve because the denominator can never equal 0, (you divide a number by 0, which is mathematically impossible) therefore the function will never reach that line.

Can someone help me with these 3 questions? I need them asap (Test) Screenshots are below! I will give 15 pts!

Answers

Answer:

Pythagorean Theorom: [tex]a^2+b^2=c^2[/tex]

Triangle #1

[tex]21^2+x^2=29^2[/tex]

[tex]x^2=29^2-21^2[/tex]

[tex]x=\sqrt{841-441} =\sqrt{400}=20[/tex]

Triangle #2

[tex]1.6^2+3.0^2=x^2[/tex]

[tex]x=\sqrt{1.6^2+3.0^2}=\sqrt{11.56} =3.4[/tex]

Triangle #3

[tex]x^2+40^2=41^2[/tex]

[tex]x=\sqrt{41^2-40^2}=\sqrt{81} =9[/tex]

I hope this helps!

giving brainlist for correct answers =}

Answers

Answer:

Step-by-step explanation:

the answer is uniform

Answer:

Skewed right :)

Step-by-step explanation:

The most data points are to the left and there is barely any to the right. That is why it is skewed right :)

Have an amazing day!!

Please rate and mark brainliest!!

Credits to: hautauv!!!

PLEASE HELP just need a quick answer!!! will give brainly!!!

A moving-van rental company uses the polynomial 130 + 0. 75(m – 200) to calculate the rental charges if a customer drives a van more than 200 miles in one day. In the polynomial, m is the total number of miles that the customer drove the van during the day. Use the Distributive Property to write an equivalent expression for the total cost of renting the van and driving it more than 200 miles in one day

Answers

Answer:

im not sure but i think this is the answer

Step-by-step explanation:

I think it would be 130 + 0.75m

Which simplified could be 130.75m Hope it helps! :)

Answer:

0.75m - 20

[tex]130+0.75\left(m-200\right)\ =\ 0.75m-20[/tex]

Step-by-step explanation:

[tex]0.75(m-200) + 130[/tex]

The slope is 0.75

Substitute m for 0 ( [tex]0.75(-200) + 130[/tex])

Evaluate the equation ( [tex]0.75(-200) + 130[/tex]) = -20, this is the y-intercept

now the equation is [tex]slope + intercept[/tex] = [tex]0.75 -20[/tex]

Lilly has two cousins. One of the cousins is 7 years older than Lilly. The other cousin is 3 years younger than Lilly. The product of Lilly’s cousins' ages is 24. How old is Lilly?

Answers

Ok lily is 10 because the younger cousin is 7 and the older sibling is 17 just use the process of elimination I know next time you get a question like this you can do it

if p=1(l+b), express b in terms of p and l:b=​

Answers

Step-by-step explanation:

=> p=1(l+b)

=> P = 1l + 1b

=> 1l - P = 1b

=> b = 1l - P/1

~Done~

Or

p=1(l+b)

Step 1: Flip the equation.

b+l=p

Step 2: Add -l to both sides.

b+l+−l=p+−l

b=−l+p

Answer:

b=−l+p

please hurry!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

the radius of circle s is point,radius,arc,

i need help its 7th grade area surface

Answers

Answer:

729 square inches

Step-by-step explanation:

9^3 or 9×9×9

(im not sure but i think thats it)

can someone please help with This !

Answers

Answer:

A. E

B. D

C. A

Trust me on this one! I used a calculator.

A. 5
B. 7
C. 2.6
D. 5.5

Answers

Answer:

A  5    is the distance between

Step-by-step explanation:

(-2 -2)^2   +  ( 0-3)^2 = d^2

d = 5

5 5/8 as an improper fraction

Answers

The improper fraction is 45/8.

Answer:

45/8

Step-by-step explanation:

to get an improper fraction, you multiply the denominator by the whole number and add the numerator to the total. So for this problem 5(8)=40+5= 45/8

pls help!! i rlly need this quick

Answers

Answer:

See below ~

Step-by-step explanation:

Combination Rule

ⁿCₓ = n! / (n - x)! x!

#1) ²²C₂₀

²²C₂₀ = 22! / 2! 20!22 x 21 x 20! / 2! x 20!22 x 21 / 211 x 21231

#2) ¹²C₈

¹²C₈ = 12! / 4! 8!12 x 11 x 10 x 9 x 8! / 4! x 8!12 x 11 x 10 x 9 / 4 x 3 x 211 x 5 x 999 x 5495

Answer:

[tex]\displaystyle ^{22}C_{20} =231[/tex]

[tex]\displaystyle ^{12}C_{8} =495[/tex]

Step-by-step explanation:

Binomial Coefficients

[tex]\displaystyle \binom{n}{r} \: = \:^{n}C_{r} = \frac{n!}{(n-r)! \, r!}[/tex]

[tex]\begin{aligned}\displaystyle \implies ^{22}C_{20} & = \frac{22!}{(22-20)! \, 20!}\\\\ & =\frac{22!}{2! \, 20!}\\\\ & =\frac{22 \cdot 21 \cdot 20!}{2! \, 20!}\\\\ & =\frac{22 \cdot 21}{2 \cdot 1}\\\\ & =\frac{462}{2}\\\\ & =231\end{ailgned}[/tex]

[tex]\displaystyle \begin{aligned} \implies ^{12}C_{8} & = \frac{12!}{(12-8)! \, 8!}\\\\ & =\frac{12!}{4! \, 8!}\\\\ & =\frac{12 \cdot 11 \cdot 10 \cdot 9 \cdot 8!}{4! \, 8!}\\\\ & =\frac{12 \cdot 11 \cdot 10 \cdot 9}{4 \cdot 3 \cdot 2 \cdot 1}\\\\ & =\frac{11880}{24}\\\\ & =495\end{aligned}[/tex]

what value makes the following equation true? x + 10 = 18

Answers

Answer:

x=8

Solution:In order to determine the value of x that makes the equation true, we need to subtract 10 from both sides:x+10=18x=18-10x=8Therefore, when x=8, the equation x+10=18 is true.

Hope it helps.

Do comment if you have any query.

Answer:

8 + 10 = 18

Step-by-step explanation:

no need for explanation simple addition

A 2-column table with 6 rows. the first column is labeled week with entries 1, 2, 4, 6, 8, 10. the second column is labeled miles run with entries 5, 8, 13, 15, 19, 20. rita is starting a running program. the table shows the total number of miles she runs in different weeks. what is the equation of the line of best fit for the data? state each number to the thousandths place. y ≈ x

Answers

The line of best fit for the data of week and the corresponding miles run is evaluated to be: y = 4.699 + 1.671x

How does linear regression works?

Firstly, there is a data set. Then, we try to fit a line which will tell about the linear trend. This line is made using the least squares method.

The following data for the Week and miles run variables are provided to construct linear regression model:

Week miles run

      1    5

      2    8

      4    13

     6    15

     8    19

    10    20

The independent variable is Week(represented by x), and the dependent variable is miles run(represented by y). In order to compute the regression coefficients, the following table needs to be used:

Let week = x, and miles run = y, then we get this table:

              x      y      xy    [tex]x^2[/tex]     [tex]y^2[/tex]

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

             1       5       5      1      25

             2      8       16    4     64

             4      13      52   16   169

             6     15       90   36  225

            8      19      152   64  361

           10     20     200  100 400

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

Sum =  31   80    515   221  1244

Based on the above table, the following is calculated:

[tex]\bar X = \frac{1}{n} \sum_{i=1}^{n} X_i = \frac{ 31}{ 6} \approx 5.167[/tex]

[tex]\bar Y = \frac{1}{n} \sum_{i=1}^{n} Y_i = \frac{ 80}{ 6} \approx 13.33[/tex]

[tex]\large SS_{XX} = \sum_{i=1}^{n} X_i^2 - \displaystyle\frac{1}{n}\left(\sum_{i=1}^{n} X_i\right)^2 = 221 - 31^2/6 \approx 60.833[/tex]

[tex]\large SS_{YY} = \sum_{i=1}^{n} Y_i^2 - \displaystyle\frac{1}{n}\left(\sum_{i=1}^{n} Y_i\right)^2 = 1244 - 80^2/6 \approx 177.33[/tex]

[tex]\large SS_{XY} = \sum_{i=1}^{n} X_i Y_i - \displaystyle\frac{1}{n}\left(\sum_{i=1}^{n} X_i\right) \left(\sum_{i=1}^{n} Y_i\right) = 515 - 31 \times 80/6 \approx 101.67[/tex]

Therefore, based on the above calculations, the regression coefficients (the slope m, and the y-intercept n) are obtained as follows:

[tex]m = \frac{SS_{XY}}{SS_{XX}} \approx \frac{ 101.67}{ 60.833} \approx 1.6712[/tex]

[tex]n = \bar Y - \bar X \cdot m = 13.33- 5.167 \times 1.6712 = 4.6986[/tex]

Therefore, we find that the regression equation is:

miles run = 4.6986 + 1.6712 Week

y = 4.6986 + 1.6712x (approximately)

To the thousandths place, it becomes:

y = 4.699 + 1.671x

Therefore, based on the information provided above, the following scatter plot and regression plot are obtained as the image attached below.

Thus, the line of best fit for the data of week and the corresponding miles run is evaluated to be: y = 4.699 + 1.671x

Learn more about linear regression here:

https://brainly.com/question/18854090

Answer:

y-1.671

4.699

Step-by-step explanation:

The area of the rectangle below is greater than or equal to 18.13 square units. The inequality 3.7w ≥ 18.13 represents this
situation?

Answers

Answer:

so the answer is tyrany because i love to talk aboutheaarts so this is waht happened

Step-by-step explanation:

How much water does a cube-shaped tank with equal dimensions of 3.3 feet hold?

Answers

We need the volume

Side=a=3.3ft

Volume:-

a³3.3³35.94ft³

To find how much water the cube can hold

   ⇒ must find volume

      ⇒ which is the amount of space that a shape occupies, or

          that is enclosed within the shape

The volume of a cube-shaped tank:

    ⇒ is the length, width, and height multiplied together

       ⇒ since this is a cube, all the side lengths are equal

           ⇒ Volume = (side-length)^3

Based on the information given

  ⇒ side-length is 3.3 feet

Therefore:

  Volume = [tex]3.3^3 = 35.937ft^3[/tex]

Thus the cube-shaped tank can hold 35.937 cubic feet of water

Answer: 35.937 cubic feet of water

Hope that helps!

How to do the circumference of a semicircle with a radius of 7 1/2.

Answers

Answer:

38.6 units (nearest tenth)

Step-by-step explanation:

Formulae

Diameter = 2r Circumference = 2πr

(where r is the radius)

Circumference of a semicircle = diameter + half the circumference

⇒ Circumference of a semicircle = 2r + πr

Given:

[tex]\sf radius\:{(r)=7\frac12=7.5[/tex]

[tex]\begin{aligned}\implies \textsf{Circumference of semicircle} & = 2(7.5) + \pi(7.5)\\ & = 15+7.5 \pi\\ & = 38.5619449...\\ & = 38.6\:\sf units\:(nearest\:tenth)\end{aligned}[/tex]

Radius=r=7.5units

Circumference

πr+2rr(π+2)7.5(3.14+2)7.5(5.14)38.6units²

If abcd is also a rhombus, what must be the value of x? 13 15 18 23

Answers

Answer: it’s 13

Step-by-step explanation:

I just took the Unit Test On Edge2022

A rectangle measures 9 4/5 meters 5 3/4 meters. What is its area?

Answers

Answer:

56.35 meters squared

Step-by-step explanation:

lmk if its inches

A solid shape is made by joining two cones.
Each cone has the same radius.
One cone has
slant height = 2 × radius
The other cone has slant height = 3 × radius
The total surface area of the shape is 135. 21 cm²
Curved surface area of a cone = tırl where r is the radius and / is the slant height
Work out the radius. ​

Answers

The surface area of the solid shape is the amount of space on it

The radius of the two cones is 2.93 cm

How to determine the radius?

The given parameters are:

Cone 1: slant height, l = 2rCone 2: slant height, L = 3rSurface area = 135. 21 cm²

The surface area of the shape is calculated using:

T = πr(L + l)

So, we have:

135.21 = πr(2r + 3r)

Evaluate

135.21 = 5πr²

Divide both sides by 5π

r² = 135.21/5π

Evaluate the quotient

r² = 8.61

Take the square root of both sides

r = 2.93

Hence, the radius of the cones is 2.93 cm

Read more about surface area at:

https://brainly.com/question/6613758

Write a multiplication expression that can be used to solve 2/3a = 30.

Answers

Answer:

a=45

Solution:We need to multiply both sides by 3 in order to get rid of the denominator, 3:2/3a•3=30•32a=90Divide both sides by 2:a=45

Hope it helps.

Do comment if you have any query.

If there are two angles that are supplementary, and the first angle has a measure of 137°, what is the measure of the second angle? A. 43 degrees B. 90 degrees C. 72 degrees​

Answers

Answer:

Step-by-step explana what grade math is this?

20 points given and brainiest for correct answer

Answers

Answer:

B is correct

I = (5200)(0.06)(2.5)

Step-by-step explanation:

Brainliest would be very much appreciated

Should be the second choice, or
“I = (5200)(0.06)(2.5)”
Because you are trying to find the interest so I = the interest of 5200 and the 6% in a decimals form is 0.06 and times that with the year

If CDEF is a kite, CD =15 find CG

Answers

Answer:

Step-by-step explanation:

CD = 15, so we have the hypotenuse.

DF = 18, but we can find a leg by 18/2 which is 9

using our pyth. theorem, 15^2=9^2+CG^2

CG = 12

Hope this helped

Find the circumference and area of a circle with diameter 4 cm.
HELP ASAP PLS​

Answers

Step-by-step explanation:

the formulas can be easily found on the internet.

remember, the diameter of a circle is 2 times the radius.

so, the radius of our circle here is 4/2 = 2 cm.

circumference :

2×pi×r = 2×3.14×2 = 12.56 cm

area :

pi×r² = 3.14×2² = 3.14×4 = 12.56 cm²

hey, your teacher gave you the circle, where the circumference and the area have the same quantity ! funny !

so, make double sure you use the correct unit dimensions (remember, a distance has only one dimension, an area has 2 dimensions, and a volume has 3 dimensions).

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