write an equation for a sine function and for a cosine function.

sine:
vertical shift - 3
horizontal shift - 0
amplitude - 2
period - 2pi
domain - sin(3x)

cosine:
vertical shift - -3
horizontal shift - 4
amplitude - 2
period - 2pi
domain - cos(2x + 5)

Answers

Answer 1

Answer: 1/2

Step-by-step explanation:

f(x) = A sin (Bx - C) + D

amplitude = |A|

period =

phase shift =

vertical shift = D

A

amplitude of 3 is given so  3 = |A| → A = ± 3, since it is stated that this is a positive function, then A = 3

B

period of 6π is given so

C

D

vertical shift of -1 is given so -1 = D

Now, substitute the values of A, B, C, and D into the formula (above):

Next, solve when x = 2π


Related Questions

Which statement is TRUE concerning the slope of the line formed by the hypotenuse of each triangle?
A) BC/AB=CD/DE
B) BC/AB=DE/CD
C) AB/BC=CD/DE
D) AB/BC=DE/CD​

Answers

Answer:

it would be

Step-by-step explanation:

I do not think you need an explanation but if so just comment

In an isosceles triangle, one of the equal interior angles is equal to the adjacent exterior
angle divided by 5. What are the values of the 3 interior angles in the triangle? Make sure
to draw and label a sketch of the triangle.

Answers

Answer:

Step-by-step explanation:

can you show a picture?

All 50 digits of pi.
(Giving brainliest to first correct answer.)

I’m trying to figure out how this thing works. I’ve never asked a question.

Answers

Answer:

3.1415926535 8979323846 2643383279 5028841971 6939937510

Step-by-step explanation:

Step-by-step explanation:

172738192739q0wiw7uqsjs

HELP PLEASE GIVING BRAINLIEST!!!

Answers

Answer:

161

Step-by-step explanation:

161 bc it is the same as angle 3



What is the greatest common factor of 32, 44, and 48?

Answers

Answer:

4

Step-by-step explanation:

5x 4 1/2 Answer with a mixed number in simplest form.

Answers

Answer:

22 1/2

Step-by-step explanation:

[tex]5x4\frac{1}{2} =\frac{9}{2} x\frac{5}{1} = \frac{45}{2} = 22\frac{1}{2}[/tex]

Which of the following angle measurements would you find in an equilateral triangle?
A. 45°, 45°, 45°
B. 45°, 45°, 90°
C. 50°, 50°, 50°
D. 60°, 60°, 60°

Answers

Answer:

D. 60, 60, 60

Step-by-step explanation:

In an equilateral triangle, all sides are equal and equal to 180 when added together. because 60×3 is equal to 180, D is the right answer. I hope this helps you!

The angle measurements found in an equilateral triangle are 60°, 60°, 60°

What is an Equilateral Triangle?

An equilateral triangle is an angle that has equal angles and equal sides. It implies that all the sides of the angle contain the same length.

We can also say that an equilateral triangle is also equiangular since it has equal angles. If we recall, we know that the sum of angles in a triangle is 180°.

For a triangle with equal sides, it implies that each length will possess;

= 180°/3

= 60° each.

Learn more about equilateral triangles here:

https://brainly.com/question/17264112

-4x – y = 24
Complete the missing value in the solution to the equation.

Answers

Answer:

x = -5

y = 1

Step-by-step explanation:

-4(-5)-1=24

25-1=24

24=24

Answer: x= -6, y= 6

Step-by-step explanation:

Jazmine's bakery shop Sells doughnut boxes for $10, In addition $5 for the toppings

Answers

Answer:

y=10+5x

Step-by-step explanation:

Have a great day

George and carmen went on a bicycle trip. They took a bus to their starting point, and then biked the rest. They traveled 350 miles in total, and they biked 80 kilometers more than they were bused.

Answers

Complete question − How many kilometres did they travel by bus and by bicycle.

Answer:George and carmen traveled by bus in 135km and by bikein 215km

Step-by-step explanation:

Total Miles traveled  =   350 miles  

Let Number of kilometres they traveled with bus  = x

and Let Number of kilometres they traveled with bike = x + 80

so that the total distance traveled with bus and bike be expressed as

x + x + 80 =   350 miles  

2x + 80 =   350 miles  

2x =   350 − 80

2x =270

x=135

George and Carmen traveled by bus in 135km  

and by bicycle=x + 80 = 135 km + 80 =215km

2t + 1 + 6 + 4t = 55
show your work

Answers

combine like terms, 1+6 is 7 and 2t+4t is 6t. so 6t+7=55. get the t by itself by subtracting 7 from both sides. 6t=48, divide by 6. t=8

Answer:

I'm assuming you are trying to get t alone so t=8

Step-by-step explanation:

2t+1+6+4t=55

simplify

6t+7=55

subtract 7 from both sides

6t=48

t=8

Add 1/8 + 1/4 + 1/2.

Answers

I think it’s 0.875 I could be wrong tho but I’m sure

1/8 + 1/4 + 1/2 =

= 1/8 + 2/8 + 4/8 = 7/8

An ice block is in the shape of a rectangular prism. Danny cute the block so that each side is 1/2 it's original length. How do the volumes of the ice block compare

Answers

Answer:

After he cuts the blocks, the volume is one eight of the original.

Step-by-step explanation:

Volume of a rectangular prism:

The volume of a rectangular prism with dimensions abc is given by:

[tex]V = abc[/tex]

Danny cute the block so that each side is 1/2 it's original length. How do the volumes of the ice block compare?

This means that:

[tex]a = \frac{a}{2}, b = \frac{b}{2}, c = \frac{c}{2}[/tex]

So

[tex]V_c = \frac{a}{2}*\frac{b}{2}*\frac{c}{2} = \frac{abc}{2^3} = \frac{abc}{8} = \frac{V}{8}[/tex]

After he cuts the blocks, the volume is one eight of the original.

I need help question in picture

Answers

Answer:

I think it is    4/3

Step-by-step explanation:

can you please help and I need help fast ​

Answers

Answer:

A

Step-by-step explanation:

He borrowed money so he has -5 dollars and but he payed 2 back, so now he   needs to pay $3

if i am correct, the answer is A

Which expression can be used to find the area of the composite figure? o 4x O 2x+ 2x2 O x2 + 2x O 32​

Answers

Answer:D

Step-by-step explanation:

the table below shows the points scored by green bird players. what was the median number of the points scored ​

Answers

Answer: Sorry

Step-by-step explanation: What table? I would love to help you but I need to see the table you are talking about. :(

Find the perimeter of A ABC. If necessary, round to the nearest tenth.

Answers

Answer:

37.6

Step-by-step explanation:

A to B - just count up the numbers, it's 10

B to C - just count up the numbers, it's 12

A to C - Now this is a right triangle, so use the Pythagorean theorem(10^2 + 12^2 = 244, and take the square root of that, which is 15.62 and round to 15.6

And just add them together 10+12+15.6 to get 37.6

10.) Your dad is planning to increase the area of your rectangular patio. Your current patio is 8
feet by 10 feet, and your dad plans to double its area by adding the same amount x to its length
and width. Find the value of x, and the new dimensions of the patio.

Answers

Answer:

x = 3.69 feet

11.69 x 13.69 feet

Step-by-step explanation:

new area = (8 x 10) x 2 = 160

(8 + x)(10 + x) = 160

80 + 8x + 10x + x² = 160

combine like terms:

x² + 18x - 80 = 0

factor:

(x - 3.69)(x + 21.69) = 0

x = 3.69

Answer:

x = 3.69 feet

11.69 x 13.69 feet

new area = (8 x 10) x 2 = 160

(8 + x)(10 + x) = 160

80 + 8x + 10x + x² = 160

combine like terms:

x² + 18x - 80 = 0

factor:

(x - 3.69)(x + 21.69) = 0

x = 3.69

Which is the y-intercept of the graph of f ?

Answers

Answer:

(0,4)

Step-by-step explanation:

The Y-axis is the vertical line. The y-intercept is where the function intersects at a point on the Y-axis.

Erin buys a bag of peanuts that weighs 3/4 of a pound. Later that week, the bag is 2/3 full. How much does the bag of peanuts weigh now? There may be more than one correct answer.

Answers

Answer:

1/2 pound

Step-by-step explanation:

3/4 x 2/3 = 6/12 = 1/2 pound

Quadratic functions g(x) and h(x) are graphed on the same coordinate grid. The vertex of the grid of h(x) is 12 units above the vertex of graph g(x). Which pair of functions could have been used to create the graphs of g(x) and h(x)?
A. h(x)=x^2−12 and g(x) = x^2
B. h(x)=(x+12)^2 and g(x) = x^2
C. h(x)=x^2+12 and g(x) = x^2
D. h(x)=(x−12)^2 and g(x) = x^2

Answers

Answer:

Step-by-step explanation:

The answer is h(x) = ^2 + 12 and g (x) = ^2

The numbers of cookies in a shipment of bags are normally distributed, with a mean of 64
and a standard deviation of 4. What percent of bags of cookies will contain between 60
and 68 cookies?

Answers

Answer:

68% i think yeah?

The percent of bags of cookies will contain between 60 and 68 cookies is 68.29%.

What is standard deviation?

A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean.

[tex]\mu[/tex]= 64,   [tex]\sigma[/tex]= 4,

[tex]Z_1[/tex]= [tex]X_1[/tex] - [tex]\mu[/tex]/  [tex]\sigma[/tex]

  = 60-64/4

  = -1

again,

[tex]Z_2[/tex]= [tex]X_2[/tex] - [tex]\mu[/tex]/  [tex]\sigma[/tex]

  = 68-64/4

  = 1

Thus, P( 60<X<68)

= p(-1<Z<1)

= 0.6829

= 68.29%

Learn more about standard deviation here:

https://brainly.com/question/16555520

#SPJ2

What is -10 (b-9) please​

Answers

Multiply -10 and b, and -10 and -9.

A negative and a positive equal a negative, but a negative and a negative equal a positive.

-10b+90

---

hope it helps

-10(b - 9)        distribute by multiply -10 × b = -10b and -10 × -9 = 90

-10b + 90, final answer

Which of the following can be useful when finding the value of a variable

check all that apply

A. Drawing a diagram

B. Drawing a graph

C. Reading a table

D. Writing an equation

Answers

Answer:

drawin a diagram?

Step-by-step explanation:

Answer:

all of them

Step-by-step explanation:

Plz help ill give brainliestttt

Answers

The 3rd multiple choice answer

Answer:

y=25x - 300

Step-by-step explanation:

she earns 25 dollars for each hour she works and then subtract the amount of money she has to pay for rent and that's how much she makes

Find the length of the third side. If necessary, round to the nearest tenth.

Answers

Answer:

24

Step-by-step explanation:

Use the pythagorean theorem.

What does 11x in the expression represent?

Answers

Answer:

11x represents the total area of the rectangular playground

Answer:

The term 11x represents the area of the playground that contains the slide. The side lengths of this area are 11 feet and x feet.

Step-by-step explanation:

Can someone help me pls

Answers

Answer:

Yes it is tangent because it is touching a certain point

Step-by-step explanation:

Heres a pic i found of an example and it looks exactly like that one

9514 1404 393

Answer:

  yes

Step-by-step explanation:

The side lengths of the triangle are 5, 12, and 5+8 = 13. We can check to see if they satisfy the Pythagorean theorem, which would indicate a right triangle.

  5² + 12² = 25 +144 = 169 = 13²

These sides do satisfy the relationship between sides for a right triangle, so angle A is a right angle. That is the case when segment AB is a tangent to the circle.

  Yes, AB is a tangent.

For each of the following regular polygons, find: a) the sum of the interior angles, b) the measure of each interior angle, c) the sum of the exterior angles, and d) the measure of each exterior angle. Round answers to the nearest hundredth if necessary.

Answers

Answer:

wish i culd help

Step-by-step explanation:

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