5. Based on the graph of the trigonometric function,
what is the amplitudes

5. Based On The Graph Of The Trigonometric Function,what Is The Amplitudes

Answers

Answer 1
Amplitude is 3 from 0-3 or 0 to -3
Answer 2

Answer:

[tex]\displaystyle 3[/tex]

Explanation:

[tex]\displaystyle y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A|[/tex]

AND

[tex]\displaystyle y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A|[/tex]

Accourding to the graph AND the above information, your amplitude is three units. This means each crest is extended three units beyond the midline of [tex]\displaystyle y = 0,[/tex] the centre of your graph, also known as the vertical shift. So, no matter how far the graph shifts vertically, the midline will ALWAYS follow.

Now, just in case you wanted to know the equation(s) of this graph, look below:

[tex]\displaystyle y = 3sin\:(\frac{\pi}{2}x + \frac{\pi}{2}) \\ y = 3cos\:\frac{\pi}{2}x[/tex]

I am delighted to assist you at any time.


Related Questions

NEED HELP PLEASE !!!

Answers

Answer: 7/64 inch is bigger by 1/64 inch difference

Step-by-step explanation:

STEP ONE: Convert the denominators into Least Common Multiple (LCM)

LCM of 32 and 64:

First 3 multiples of 32: 32, 64, 96

First 3 multiples of 64: 64, 128, 192

Since 64 overlaps in both terms, 64 is the LCM of 32 and 64.

STEP TWO: Convert the fractions

3/32 = (3 × 2) / (32 × 2) = 6/64

7/64 = 7/64

STEP THREE: Compare the numerator to define the size of fractions

6 < 7, therefore, 6/64 < 7/64

7/64 - 6/64 = 1/64 inch

Hope this helps!! :)

Please let me know if you have any questions

Practice questions for a textbook are marked with difficulty levels of easy, Intermediate, and difficult. 30 of the 149 practice questions are rated as intermediate, approximately what percentage of the questions are intermediate level?

The percent of questions that are intermediate is approximately %

(Round to the nearest whole percent as needed.)

X

3

VE

Answers

30/149 = 0.2013
0.2013 x 100 = 20.13%
20%

The required percentage of the 30 intermediate-level questions is 20%.

Given that,
Practice questions for a textbook are marked with difficulty levels of easy, Intermediate, and difficult. 30 of the 149 practice questions are rated as intermediate, approximately what percentage of the questions are intermediate level is to be determined.

What are percentages?

the percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,


Here,
the required percentage of the intermediate difficult question,
= 30 / 149 * 100
≈ 0.20 * 100
≈ 20%

Thus, the required percentage of the 30 intermediate level question is 20%.

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PLEASE HELP
Seven more than the quotient of a number and 5 is equal to 4.
Use the variable b for the unknown number.

Answers

Answer:

7 + b/5 = 4

OR

b/5 + 7 = 4

Step-by-step explanation:

also, b = -15


What is the range of the function shown on the graph above?
A. -8 y -3
B. -8 y -3
C

Answers

Answer:

i got u c

Step-by-step eplanation:

If F(x) = 4x - 1 and G(x) = x2 + 7, what is G(Fx))?

Answers

Step-by-step explanation:

gof(x)= g(f(x))

gof(x)= g(4x-1)

gof(x)= (4x-1)²+7

gof(x)=16x²-8x+1+7

gof(x)=16x²-8x+8

PLS HELP IF DONE CORRECTLY I WILL MARK AS BRAINLIEST!!! In ΔJKL, solve for x

Answers

Answer:

x = 74.89

Step-by-step explanation:

Because this is a right triangle we can use trigonometric ratios to solve for x

Remember the three main trig ratios are sine, cosine and tangent

Where

Sine = Opposite over Hypotenuse

Cosine = Adjacent over Hypotenuse

and Tangent = Opposite over Adjacent

In order to use trig ratios we must have a known angle that is not a right angle.

We are given ∠J which has a measure of 27°

We are also given ∠J's opposite side length. ( has a length of 34 )

and "x" is the hypotenuse.

When dealing with opposite and hypotenuse we use Sine

SineФ = Opposite over Hypotenuse

Ф = 27, opposite = 34 and hypotenuse = x

Sin(27)  = 34/x

solve for x

Multiply both side by x

sin(27) x = 34

divide both sides by sin (27)

x = 34 / sin (27)

simplify

x = 74.89 ( rounded to the nearest hundredth )

and we are done!

Answer:

The answer is 74.89

Step-by-step explanation:

Well it gives you 2 angles and one side length using the formula Called SAS you can find the missing lengths and side x = 74.891 while the other side equals 66.729. Hope this helps

What is 898995x10007766767

Answers

Answer: 8.9969323e+15

This is a weird question but the answer would be…


8.9969323e+ 15



Plz tell me if I wrong

What is the equatiqn of the line that passes through the point (-5, 4) and has a
slope of -3/5?

Answers

Answer:

y = -3/5x + 1

Step-by-step explanation:

We are given a point and the slope so all we need to solve for is the y-intercept and we can do that by using the slope intercept form formula [ y = mx + b ] where m = slope and  b = y-intercept.

4 = -5(-3/5) + b

4 = 3 + b

1 = b

With the information we know, we can input the values into the formula once again.

y = -3/5x + 1

Best of Luck

A triangle has a perimeter of 11.5 feet. The side lengths are x feet, 2x – 2 feet, and 3x + 1.5 feet. What is the value of x?​

Answers

Answer:

x = 2 feet

Step-by-step explanation:

We know that the perimeter is the sum of side lengths.

P = a + b + c

Substitute the values and solve for x:

x + 2x - 2 + 3x + 1.5 = 11.56x - 0.5 = 11.56x = 12x = 12/6x = 2

Answer:

[tex]perimeter = h + l + b \\ = x + 2x - 2 + 3x + 1.5 = 11.5 \\ x \: terms \: togather \\ x + 2x + 3 x- 2 + 1.5 = 11.5 \\ 6x - .5 = 11.5 \\ 6x = 11.5 + .5 \\ 6x = 12 \\ x = \frac{12}{6} \\ x = 2 \\ thank \: you[/tex]

A swimming pool holds liters of water. The pool has two drainage pipes. When the pool is completely full, the first pipe alone can empty it in minutes, and the second pipe alone can empty it in minutes. When both pipes are draining together, how long does it take them to empty the pool

Answers

Answer:Pipe 1 is emptying the pool at 600,000/200 = 3000 liters per minute.

The second pipe empties the pool at 600,000/120 =5000 litres per minute. With both pipes the pool will be emptied at 8000 litres per minute. It will therefore take 600,000/8000 = 75 minutes to empty the pool of water when both pipes are draining together.

Step-by-step explanation:


Which pair of transformations moves quadrilateral 1 to quadrilateral 2?

a:Reflect over the line y = -3, then rotate it 90 degrees counterclockwise about the origin

b:Reflect it over the x-axis, then rotate it 180 degrees about the origin

c:Rotate it 90 degrees counterclockwise about the point (-3, -3) then translate it 8 units to the right

d:Translate it 8 units to the right, then reflect it over the line y=-3

Answers

Answer:

Answer choices:

a. Reflection takes it to Q2, further rotation takes it back to Q3

Incorrect

b. Reflection takes it to Q2, rotation takes to Q4 with right shape.

Correct

c. Rotation takes is to Q4, translation keeps in same Q but with wrong shape

Incorrect

d. Translation takes it to Q4, reflection keeps it in same Q but with wrong shape

Incorrect
Reflect it over the x-axis, then rotate it 180 degrees about the origin

Because the shape is present in Q3

So reflection over x axis takes it to Q2

Then 180° rotation about origin takes it to Q4

Hence Option B is correct

Ann drove 378 kilometers this weekend. She drove 49 of the distance on Saturday. How many kilometers did she drive on Saturday?

Answers

Answer:

185.22 km

Step-by-step explanation:

Assuming that you forgot the percentage sign In the question. Ann drove 185.22 km on Saturday.

multiply : (5x+3a) (5x-3a)​

Answers

(a+b)(a-b)=a²-b²

(5x+3a)(5x-3a)
=(5x)²-(3a)²
=25x²-9a²

Hope my answer helped u :)

John sold a car for 60,000 dollars and made a profit of 20%.what is the cost price of the car​

Answers

Answer:

72,000

Step-by-step explanation:

20% of 60,000 = 12,000

60,000 + 12,000 = 72,000

Chow,...!

10 A frustum is a portion of a solid. The frustum shown opposite is formed from a cone.
a What is the volume of the missing top cone? Give answers correct to the nearest cubic metre.
b What was the volume of the entire cone?
c What is the volume of the frustum?

Answers

Step-by-step explanation:

all you needed to do was a quick search on the internet : "volume of a cone".

and you get immediately :

pi×r²×h/3

the reason is similar to all other volume formulas : base area times height. for pyramids and cones there are factors included to reduce this a bit, because they simply don't go straight up from their base area, so they have less volume than comparable objects that do go straight up (like a cylinder compared to a cone).

r = radius

h = height

so, for a) we only need to use the calculator :

pi × 5² × 30 / 3 = pi×25×10 = 785.4 ≈ 785 m³

for b) we need to do the same thing, but with r = 10 and h = 60.

pi × 10² × 60 / 3 = pi×100×20 = 6283.2 ≈ 6283 m³

so, for c) we only need to subtract the result of a) from the result of b)

the frustum is the volume of the large cone minus the volume of small, top cone.

6283 - 785 = 5498 m³

Andrew bought four bottles of lemonade and two bottles of water for €2.45. From the same shop Michael
bought two bottles of lemonade and four bottles of water for €2.35. What is the total cost of one bottle of
lemonade and one bottle of water?

Answers

Answer:

0.8 euro

Step-by-step explanation:

Suppose the price of bottle of lemonade is x, when the bottle of water costs y.

Four bottles of lemonade cost 4x, two bottles of water cost 2y

4x+2y=2.45

Two bottles of lemonade cost 2x, four bottles of water cost 4y

2x+4y= 2.35

These equations( 4x+2y=2.45 and 2x+4y= 2.35) are simultaneous, so

multiply the first one by -2

-8x-4y=-4.9

-8x-4y+2x+4y= -4.9+2.35

-6x=-2.55

x=0.425 euro - the cost of bottle of lemonade

y=(2.45-4*0.425)/2

y=0.375 euro - the cost of bottle of water

0.425+0.375= 0.8 euro - the total cost  of one bottle of

lemonade and one bottle of water

Answer:

price of lenonade bottle is 0.425

price of water bottle is 0.375

Step-by-step explanation:

In explaination, 'x' is the value of lemonade bottle and 'y' is the value of water bottle.

All explaination is in picture below.

Which equation should you solve to find X?
10
х
26
9
A. tan 26°
9
2
B. cos 26°
io
O C. cos 26°
9
10
D. sin 26°
10
N

Answers

Answer:

From SOHCAHTOA

Sine=Opp/Hyp

Sin26 = x/10

This is the appropriate eqn to solve this

OPTION D IS YOUR ANSWER!

What's the value of u+ v

Answers

The hypothetical solution for the values of u + v = 3/10

The values of u and v aren't given in the question. However, giving an hypothetical solution to the problem.

Since we have an addition operator to be used on the values of u and v

Taking the values of u and v to be a real number such as :

u = 1/10 and v = 1/5

u + v = 1/10 + 1/5

Taking the L. C. M of 10 and 5;

L. C. M = 10

HENCE,

u + v = 1/10 + 1/5 = (1 + 2) / 10 = 3/10

Hence, the value of u + v = 3/10

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Answer: what??

Step-by-step explanation:

if n=4 and m=3 find 2n-3m

Answers

Answer:

hope it helps you........

Answer:

2n-3m

=2(4)-3(3)

=8 - 9

= -1

Find the 11th term of the arithmetic sequence
2x - 2, 5x – 9, 8x – 16,...

Answers

Answer:32x -72

Step-by-step explanation:

on monday 382 students went on a trip to the zoo. all 9 buses were filled and 4 students had to travel in cars. how many students were in each bus?

Answers

382 - 4 = 378
378/9 = 42
so there are 42 students on each bus

Answer:

42 students

Step-by-step explanation:

If 4 students had to travel in cars, then 382 - 4 = 378 students traveled in the buses.  Since there were 9 buses, 378 / 9 = 42.  Therefore, there were 42 students in each bus.

f(x)= 2/3x +3; Find when f(x)=-5​

Answers

Hi ;-)

f(x) = ²/₃x + 3 ∧ f(x) = -5

²/₃x + 3 = -5

²/₃x = -5 - 3

²/₃x = -8  / * ³/₂

x = -12

i have no idea how to solve this help

Answers

Answer:

Length(L) = y

perimeter of square = 4L

since L = y

so perimeter of square is 4y

Can someone pls explain how to do order of operations

Answers

Answer:

do you mean PEMDAS?

Step-by-step explanation:

parenthesis, exponents, multiplication, division, addition, and subtraction

you solve in order and go left to right

if you give an equation i can explain it better, but it's basically that

Step-by-step explanation:

1- solve operation in parantheses or brackets.

2- we solve any exponent

3- solve all multiplication and division left to right

Write an expression that represents the perimeter of the rectangle
below. Write your answer in STANDARD FORM
5x + 2
2.x

Answers

Length=5x+2Breadth=2x

[tex]\\ \sf\longmapsto Area=Length(Breadth)

[tex]\\ \sf\longmapsto Area=(5x+2)2x[/tex]

[tex]\\ \sf\longmapsto Area=10x^2+4x[/tex]

(3,-2)
– 2-

(1,0)
how many times am i moving ?

Answers

Answer:

Step-by-step explanation:

Solve for b.

2(b − 8) + –11 = 3

b =

Answers

Answer:

b = 15

Step-by-step explanation:

2 (b - 8) + -11 = 3

2b - 16 + -11 = 3

2b - 16 + -11 = 3

2b - 27 = 3

2b = 3 + 27

2b = 30

b = 30 ÷ 2

b = 15

Answer:

[tex] = > 2(b - 8) + - 11 = 3[/tex]

[tex] = > 2b - 16 + - 11 = 3[/tex]

[tex] = > 2b - 27= 3[/tex]

[tex] = > 2b = 27 + 3[/tex]

[tex] = > 2b = 30[/tex]

[tex] = > b = \frac{30}{2} [/tex]

[tex]=>b=15[/tex]

if LN=9x-39, LM=47, and MN=3x+10 find MN

Answers

Answer:

11

Step-by-step explanation:

ML+LN=MN solve for x

(47)+(9x-39)=(3x+10) = 1/3

x = 1/3

plug into MN

3(1/3)+10=11

You are making spaghetti for dinner. You have the choice of marinara, alfredo, or meat sauce, 4 different shaped noodles, and 2 kinds of cheese. How many different spaghetti dinners can you make?

Answers

Answer:

DCC

Step-by-step explanation:

CDDCDC

Different type of spaghetti dinners is 8

What is combination ?

"The number of possible arrangements in a collection of items where the order does not matter."

For 4 different shaped of noodles = ⁴c₁

                     

                                             ⁴c₁ = 4        

For two kinds of cheese = ²c₁

                                         ²c₁ = 2

Now , multiplying these  4×2 = 8

Hence, 8 type of spaghetti dinners

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Need help with this question. Will give brainliest for correct answer.

Answers

Answer: the second to last

Step-by-step explanation: because there’s no multipcation in the first box and if you look at the rest it wou make sense for it to be the second to last

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