Write the equation of a sine function that has the following characteristics.
1
Amplitude: 4 Period: 7pi Phase shift:
1/5

Write The Equation Of A Sine Function That Has The Following Characteristics.1Amplitude: 4 Period: 7pi

Answers

Answer 1

Answer:

[tex]y=4\sin(\frac{2}{7}x-\frac{2}{35})[/tex]

Step-by-step explanation:

Period: [tex]7\pi=\frac{2\pi}{b}\rightarrow b=\frac{2}{7}[/tex]

Phase Shift:

[tex]\displaystyle \frac{c}{b}=\frac{1}{5}\\\\\rightarrow\frac{c}{\frac{2}{7}}=\frac{1}{5}\\\\\rightarrow \frac{2}{7}=5c\\ \\\rightarrow \frac{2}{35}=c[/tex]

Final equation:

[tex]y=4\sin(\frac{2}{7}x-\frac{2}{35})[/tex]


Related Questions

4.I need help this is timed!!

Answers

Answer:

c. (-1, -2)

Step-by-step explanation:

The solution is the point of intersection of the lines.

Read that point off the graph.

Start from the point where the x-axis and the y-axis intersect. Go left 1 unit. That is x = -1. Now go down 2 units. That is y = -2. The point that has x-coordinate -1 and y-coordinate -2 is the point (-1, -2). That is the solution.

The point is (-1, -2).

Answer: C. (-1, -2)

When I subtract 14 from it,
the result is 13 more than 20.
what is the number? ​

Answers

Answer:47

Step-by-step explanation:

Make a hypothesis that the number is X, so X-14=20+13

X=20+13+14, eventually, you'll get that X=47

But I'm not sure if you mean 13 times more than 20, or just 13 more than 20

The length of a square park is 6 miles. What is the area of the park?

Answers

Answer:

36 miles.......................

The angles of quadrilateral are in the ratio 3 : 5 : 9 : 13. Find all the angles of the quadrilateral.

Answers

Step-by-step explanation:

let the ratio be x

now,

3x+5x+9x+13x=360°(sum of angle of quadrilateral is 360°)

30x=360°

x=360/30

x=12°

then,

3x=3×12=36°

5x=5×12=60°

9x=9×12=108°

13x=13×12=156°

so,the angles of quadrilateral are 36°,60°,108°& 156°

hope it helps.

Find a. Round to the nearest tenth.

Answers

Answer:

use for formula a^2+b^2=c^2 to execture

*" ^ "  means square or to the power of two

Step-by-step explanation:

A triangle with vertices (0,0), (3,6), (7,4) is dilated by a factor of 3 with its center at the origin.

Answers

Answer:

[tex]A' = (0,0)[/tex]

[tex]B'= (9,18)[/tex]

[tex]C'= (21,12)[/tex]

Step-by-step explanation:

Given

[tex]A= (0,0)[/tex]

[tex]B= (3,6)[/tex]

[tex]C= (7,4)[/tex]

[tex]k = 3[/tex] -- dilation factor

Required

Determine the coordinates of the new triangle

This is calculated using:

[tex]New = Old * k[/tex]

So, we have:

[tex]A' = A *3[/tex]

[tex]A' = (0,0) *3[/tex]

[tex]A' = (0,0)[/tex]

[tex]B' = B * 3[/tex]

[tex]B'= (3,6)*3[/tex]

[tex]B'= (3*3,6*3)[/tex]

[tex]B'= (9,18)[/tex]

and

[tex]C' = C * 3[/tex]

[tex]C'= (7,4)*3[/tex]

[tex]C'= (7*3,4*3)[/tex]

[tex]C'= (21,12)[/tex]


Solve for and the indicated angles.
G
90°
F
(4x + 13)
(5x + 14)
D
E

Answers

ok so as all of the angles in a triangle is 180 so

Problem 2: Raylin wants to buy a new bike for $85. She already has $22 saved and her mom will
give her $2.50 for each chore she does. What is the least amount of chores Raylin must do in order
to save enough money to buy the bike?
Answer
22
23
24
25
26

Answers

○=> Correct option :[tex]\color{plum}\tt\bold{(d) \: 25}[/tex]○=> Steps to derive correct option :

Cost of a bike Raylin wants to buy = $85

Money Raylin already has = $22

Money she needs :

[tex] = \tt85 - 22[/tex]

[tex] = \tt\$63[/tex]

Thus, money Raylin still needs = $63

Money she gets from doing one chore = 2.50

Number of chores the needs to do :

[tex] = \tt \frac{63}{2.50} [/tex]

[tex]\color{plum} =\tt 25 \: chores[/tex]

Thus, Raylin needs to do 25 chores to be able to buy the bike.

Therefore, the correct option is (d) 25

3. CONSTRUCTION A rectangular deck is built


around a square pool. The pool has side length s. The


length of the deck is 5 units longer than twice the side


length of the pool. The width of the deck is 3 units


longer than the side length of the pool. What is the


area of the deck in terms of s?





Did I do this right or was I supposed to leave it as a trinomial?

Answers

Answer:

[tex]s^2+11s+15[/tex]

Step-by-step explanation:

Let side length of pool=s

According to question

Length of rectangular deck , l=2s+5

Width of rectangular deck, b=3+s

We have to find the area of deck in terms of s.

We know that

Area of square=[tex](side)^2[/tex]

Area of rectangle=[tex]l\times b[/tex]

Using the formula

Area of pool=[tex]s^2[/tex]

Area of (rectangular deck+ pool)=[tex](2s+5)(3+s)[/tex]

Now,

Area of rectangular deck

=[tex](2s+5)(3+s)-s^2[/tex]

[tex]=6s+2s^2+15+5s-s^2[/tex]

=[tex]s^2+11s+15[/tex]

You buy 3 shirts and 1 pair of pants for $32Your friend buys 2 shirts and 3 pairs of pants for $40.

Answers

Answer:

Each shirt costs $8 and each pair of pants costs $8

Step-by-step explanation:

3+1=4

32/4=8

2+3=5

40/5=8

Can any one help me on this question ?

Answers

Answer:

70°

Step-by-step explanation:

2x +x + 80° + 70° = 360° { being sum of angles of quadrilateral }

3x + 150° = 360°

3x = 360° - 150°

3x = 210°

x = 70°

Hope it will help :)

Answer:

70

Step-by-step explanation:

Since sum of all angles in a quadrilateral is 360°

angle P+ angle Q + angle R + angle S= 360°

80+70+x+2x=360

3x= 360-150

3x = 210

x = 210/3

x= 70

pls I neeeed to ace this test.

Answers

Answer:

but

Step-by-step explanation:

moreover is more of a transition that means "also"

furthermore is used as a conclusion

Answer:

But

Step-by-step explanation:

Im pretty sure is the right answer is but it could be while to but is not an option so im a 100% sure is A-But

A collection of dimes and nickels is worth 3.30. if there are 42 coins in total how many of each kind of coin are there?

Answers

Answer:1 nickels =$0.05

1 dime= $0.1

Step-by-step explanation:

1 nickels =$0.05

1 dime= $0.1

let the number of nickels be x and that of dimes be y.

total number of coins is given by:

x+y=42

hence:

y=42-x.......i

total amount of cash will be:

0.05x+0.1y=3.30.........ii

substituting i in ii we get:

0.05x+0.1(42-x)=3.30

0.05x+4.2-0.1x=3.3

-0.05x=-0.9

x=-0.9/(-0.05)

x=18

hence the the number nickels is x=18, the number of dimes will be y=42-x=42-18=24


Find the length of the indicated
side of the similar figure.

x = [?]

Enter the number that belongs in the green box.

Answers

x=12

In a similar the sides of the figure are in proportions. Therefore we can conclude that 16/12=x/9

Then just solve for the equation!

12x=144

x=12

Please give Brainlliest!

Answer:

12

I hope this helps!

this is the other post, ill give brainlist to the best answer.

Answers

Step-by-step explanation:  1 will now become a 2, so the answer is 1.2.1,

PLS HELP ASAP!!! 30 POINTS (a) What is m<3 ? (b) What is ?
PICTURE BELOW PLS ANSWER IN COMPLETE SENTENCES

Answers

Answer:

ACTUA,LY ITS

Step-by-step explanation:

2222

Step-by-step explanation:

angle 3 = 180-20-57 =103

angle 4 = 180 - 103 = 77

Darius is putting tiles on the roof of his house. After working for 3 1/3 hours, he has completed 4/5 of the roof. Can Darius put the titles on the enitre roof in 4 hours if he continues to work at the same rate?

Answers

Answer:

No.

Step-by-step explanation:

It is given that Darius is putting tiles on the roof of his house.

Darius had completed = [tex]$\frac{4}{5}$[/tex] th of the work

He takes time = [tex]$3 \frac{1}{3}$[/tex] hours to complete [tex]$\frac{4}{5}$[/tex] th of the work

The remaining work = [tex]$1 -\frac{4}{5}$[/tex]

                                 [tex]$=\frac{5-4}{5}$[/tex]

                                 [tex]$=\frac{1}{5}$[/tex]

∴  Darius completes [tex]$\frac{4}{5}$[/tex] th of the work in = [tex]$\frac{10}{3}$[/tex] hours

                           So, [tex]$\frac{1}{5}$[/tex] th of the work in = [tex]$\frac{10}{3} \times \frac{5}{4} \times \frac{1}{5}$[/tex] hours

                                                                 [tex]$=\frac{10}{12}$[/tex] hours

Therefore total time taken to complete the work [tex]$=\frac{10}{3}+\frac{10}{12}$[/tex] hours

                                                                                  [tex]$=\frac{40+10}{12}$[/tex] hours

                                                                                  [tex]$=\frac{50}{12}$[/tex] hours

                                                                                  [tex]$=4\frac{2}{12}$[/tex] hours

                                                                                  [tex]$=4\frac{1}{6}$[/tex] hours

Thus, Darius continues to work at the same rate will not be able to complete the work in 4 hours.  

                                                                                 

YALL WHAT IS THE ANGLE OF C
65
65

Answers

Answer:

A,G

Step-by-step explanation:

Answer:

50 degrees

Step-by-step explanation:

Write the equation in slope-intercept

Answers

Y=Mx+b so Y=1/2x+2.....

A company find that 4 1/4 % of the tyres are defective. The company made 28,000 tyres. How many tyres were defective?



(4 whole, 1 as nominator and 4 as dominator)
No need to explain, just give answer.

Answers

Answer:

595 pairs of tyres are defective.

Step-by-step explanation:

4.25×28000

____

100

0.0425×28000

1190 Total no. of defective tyres

1190 divide total tyres by 2 to get the exact pairs of defective tyres.

____

  2  

595 tyresof shoes are defective.

A customer asked Crazy Dave to split a pie into sixths. This is what he did: Explain why he is wrong and show a correct way to do it.

Answers

Answer: He split it into unequal halves which would make his way wrong. the correct way to do it would be to cut it so all the lines met in the middle of the pie

Step-by-step explanation:

find the intercept of the line please help

Answers

Answer:

x-intercept:   -5/2

y-intercept:   15/4

Step-by-step explanation:

to find x-intercept set y = 0

-6x + 4(0) = 15

-6x = 15

x = -15/6

x = -5/2

to find y-intercept set x = 0

-6(0) + 4y = 15

4y = 15

y = 15/4

Answer:

y-intercept is -2.5 and x-intercept is 3.75

Step-by-step explanation:

I posted a photo on how I got this

Hope this helped

first come first served:)

Answers

Answer:

2.

gold beads to silver beads

table: 6:9  12:18  24:36  30:45

equivalent ratios: 4:6 10:15 20:30 100:150

3.

A.33

B.1.2

Step-by-step explanation:

2.

the rule is, gold beads x 1 1/2 = silver beads

3.

A. 165/5=33

B.9.60/8=1.2

hope this helps have a blessed day :)

: Santiago realizó los siguientes movimientos en su Cuenta bancaria: el lunes consignó $300.000, el martes retiró $120.000, el miércoles retiró $95.000 Y el jueves consignó $80.000. ¿Cómo se representan matemáticamente los movimientos bancarios de Santiago?

Answers

Answer:

Step-by-step explanation:

Los movimientos bancarios de Santiago se representan matemáticamente teniendo en cuenta que consignar es sumar y retirar el restar. Por lo tanto podes expresar los movimientos bancarios de la siguiente manera:

Lunes → + 300.000Martes → -120.000Miércoles → -95.000Jueves → +80.000

Al realizar la sumatoria se obtiene:

 +300.000 - 120.000 - 95.000 + 80.000 = + 165.000

En la semana Santiago obtiene en su cuenta bancaria $165.000

Which number line represents the solution to the inequality x - 3 > 2

Answers

Answer: x > 5

Step-by-step explanation: To solve for x in this inequality, our goal is the same as it would be if this were an equation, to get x by itself on one side.

Since 3 is being subtracted from x, we add 3 to

both sides of the inequality to get x > 5.

When graphing x > 5, we have an open circle on 5 and the

open circle tells us that 5 is not part of our answer.

Then we draw an arrow going to the right to represent

all possible solutions to this inequality, any number greater than 5.

Write [tex]7^{-3}[/tex] as a fraction

Answers

Answer:

[tex]\frac{1}{343}[/tex]

Step-by-step explanation:

Using the rule of exponents

[tex]a^{-m}[/tex] ⇔ [tex]\frac{1}{a^{m} }[/tex] , then

[tex]7^{-3}[/tex]

= [tex]\frac{1}{7^{3} }[/tex] = [tex]\frac{1}{343}[/tex]

What are the answers? i’m not sure how to solve this.

Answers

the answer is 23 feet because i just took the test

Help asap!!!!

Around which line would the following cross-section need to be revolved to create a sphere?

circle on a coordinate plane with center at 1 on the x-axis and a radius of 1

y = x
y-axis
x = 1
y = 1

Answers

Answer:

I believe your answer would be y=1.

Step-by-step explanation:

The circle is located with its point on 1 of the x axis, and the cross section would be pulled straight from that term. So the cross section would need to be revolved around y = 1, instead.

This is just my best guess, so I hope it helps!

To get a sphere, we need to do a revolution around the line x = 1.

Which line should we use?

The line that we must use must be a line that divides the circle in two equal parts, so it must pass through its center.

We know that the center of our circle is the point (1, 0).

With that in mind, the two lines that we know that will divide the circle in two equal parts are:

y = 0x = 1

(There are more lines, the above two are the simplest ones).

The only one that appears on the options is x = 1, so that is the correct option.

If you want to learn more about circles, you can read:

https://brainly.com/question/25306774

At the school carnival, Jade has a game booth with a spinner. The banner at her booth reads "20% chance of winning!" What is the chance that a player may not win? (5 points) Group of answer choices 90% 50% 80% 40%

Answers

Answer: 80%

Step-by-step explanation:

100% chance is normally the most so 100 is our whole. 100-20=80. That being the % makes 80% as the answer. Hope i helped!


Carla was asked to draw all the lines of symmetry for a regular pentagon. She drew
the picture below. What was Carlas mistake? Explain in detail what she did wrong
and what the correct image would look like.

Answers

Answer:

Simple, Her Pentagon is not straight

Step-by-step explanation:

Carla's Pentagon is not straight. Her symmetry line is off scale. Simply fix the Line on the pentagon And it will be correct.

Hope this helps ^

We have that the correct Pentagon should have

Her Pentagon lacks perpendicularity between the two base PointsHer Pentagon lacks perpendicularity between the two middle pointsThe vertical link to the top vertex is not straight

Symmetry

This can be defined as an exact correspondence between different part of a system .

Therefore it can be said that Carla's Pentagon lacks Symmetry

Where a

Pentagon

is defined as a a shape with five sides and five angles

In this sense the is absolutely nothing with Carla's Pentagon

But if Carla is going for a pentagon with equal sides and and, Then

Her Pentagon lacks perpendicularity between the two base PointsHer Pentagon lacks perpendicularity between the two middle pointsThe vertical link to the top vertex is not straight

For more information on this visit

https://brainly.com/question/17054992

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