The graph of the function f(x)=5/4sin(x) is shown. What are the key features of this function?

The maximum value of the function is

The minimum value of the function is

On the interval (0. pi/2), the function is

The range of the function is

The Graph Of The Function F(x)=5/4sin(x) Is Shown. What Are The Key Features Of This Function?The Maximum

Answers

Answer 1

The maximum value of the function is 9/4.

The minimum value of the function is -1/4.

On the interval (0, pi/2), the function is strictly increasing.

The range of the function is [-1/4, 9/4].

Given function is:

[tex]y = \frac{5}{4} sin x +1[/tex]

What is the range of sin x?

The range of sin x is [-1, 1].

So the range of [tex]\frac{5}{4} sin x[/tex] will be [-5/4, 5/4]

So the range of [tex]\frac{5}{4} sin x +1[/tex] will be [-5/4 + 1, 5/4 +1]

The range of  [tex]\frac{5}{4} sin x +1[/tex] will be [-1/4, 9/4]

The maximum value of function = upper limit of the range of [tex]\frac{5}{4} sin x +1[/tex]

So, the maximum value of the function = 9/4

The minimum value of function = lower limit of the range of [tex]\frac{5}{4} sin x +1[/tex]

So, the minimum value of the function = -1/4

As we can see in the graph, in the interval (0, π/2) the function is strictly increasing.

Therefore, The maximum value of the function is 9/4.

The minimum value of the function is -1/4.

On the interval (0, pi/2), the function is increasing.

The range of the function is [-1/4, 9/4].

To get more about functions visit:

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Related Questions

I need help with this elimination problem

Answers

Add up the same sides of both equations to eliminate x :

(x - 2y) + (-x + 3y) = 8 + (-5)

(x - x) + (-2y + 3y) = 8 - 5

y = 3

Then

x - 2y = x - 6 = 8   →   x = 14

circumference of cylinder

Answers

Answer:

Circumference is the length around the cylinder.

Step-by-step explanation:

Also, follow Sammy Revv on Spotify

Answer:

To find the circumference of a cylinder, you have to be aware that a cylinder's cross-section is a circle. If you know the cylinder's radius: Multiply the radius by 2 to get the diameter. Multiply the result by π, or 3.14 for an estimation. That's it; you found the circumference of the cylinder.

Step-by-step explanation:

On a farm, the farmer decides to give pizza to her 18 ducks as a special treat. She orders 3 pizzas, and the total price is $26.28. What is the unit price of each pizza?

$4.38
$8.76
$23.28
$78.84

Answers

Answer:

$8.76

Step-by-step explanation:

$26.28 / 3 = $8.76 per pizza

Magazines are packed into cartons for distribution. Each hour one person can pack 45 cartons. How many people are needed to pack 1200 cartons

Answers

Answer:

26

Step-by-step explanation:

One person can pack 45 cartoons per hour

Therefore the number of people needed to pack 1200 cartons can be calculated as follows

= 1200/45

= 26.66

= hence 26 people are needed to pack 1200 cartoons

Please please please help me

Answers

the correct answer is 17 what i did was plug in 17 where ever you see x so x2 would be 17x2 an then plus the 5 gives u 39 3x 17x3=51 51+10=61 now add the totals 61 plus 39 gives u 100

Answer:

D. 17

Step-by-step explanation:

1.  Set up an equation  (2x + 5) + (3x + 10) = 100

2.    2x + 3x= 5x   and  5 + 10 = 15

3. The equation simplified  5x + 15 = 100

4. Move the 15 to the other side of the equation.   5x = 100 - 15

5.    5x = 85

6. Finally, divide   85/5

7. Our final answer is 17.

The graph shows the distance traveled by an Olympic-level sprinter over time during a race.
Find the slope of the line, and complete the sentences below.
100-meter Race
ty
100
80
Distance (m)
60
40
20
0
0
2
10
4 6 8
Time (s)
The slope of the line is Choose..
The slope represents
Choose.

Answers

Answer:

l

Step-by-step explanation:

help me please!:(
this is geometry​

Answers

Answer:

23.9cm^3

Step-by-step explanation:

Find the volume of the clinder in the terms of π

Answers

Answer:

A) 127.16π m³

Step-by-step explanation:

Volume of a cylinder:

V = πr²h

Given:

r = 3.4

h = 11

Work:

V = πr²h

V = π(3.4²)(11)

V = π(11.56)(11)

V = 127.16π

Answer:

hey bestie, its 127.16

Step-by-step explanation:

3.4 squared is 11.56

and 11.56 times 11 is 127.16


Which of the following expressions is a factor of 2x2 – 112 + 15?

Answers

Answer:

Step-by-step explanation:

where are the expressions?

Please help i know this is kind of easy but I am having a hard time with it unfortunately​

Answers

Answer:

x=2

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation:

if x^3 is = 8, then

x= ∛8

∛8 = 2

x=2

to check

2*2*2= 8

what is the sum of the following equation? 8/10+60/10=

Answers

Answer:

as a mixed number it's 6 4/5

Answer:

6.8

[tex]6\frac{4}{5}[/tex]

Step-by-step explanation:

Pls pls pls pls pls help me I’m not sure Which one

Answers

Answer:

Step-by-step explanation:

-2.1 is negative

-2.0 is negative

-8.7 is negative

-6.3 is negative

4.5 is positive

4.5 is positive i think -2.0 is negus

Determine if the number when converted to a decimal will result in a repeating or terminating decimal
5 divided by 10

Answers

5 divided by 10 is 50

Algunos estudiantes se repartieron una bolsa de galletas. Todos tomaron la misma cantidad y sobraron 5

Answers

Hey wait to get your dad a call please let me know thank love love for khan thank love you for the girls I hope you have came back in the next year I e know if you need me to call please thank love love it love love to see my park in tomorrow morning

Solve for x LT1 10th grade level

Answers

Answer:

x = 5

Step-by-step explanation:

Because the red-marked lines are parallel, we know that the ratios are the same

5x : 45 = 20 : 36

5x/45 = 20/36

5x * 36 = 20 * 45

5x * 4 = 20 * 5

5x * 1 = 5 * 5

x = 5

what is the definition of an expression

Answers

Answer:

the process of making known one's thoughts or feelings.

Step-by-step explanation:

Next time you ask a question please tell us if it's in a math term or something, I did it in the Ela/reading term.

the process of making known one's thoughts or feelings.

For example, if you make someone laugh their expression would be happy or suprised. Expression is just a way of seeing someones thoughts and feelings.

Hope this helps!

Have a great day!

- Hailey: )

Check Your Understanding Are you more likely to win a random drawing if you crinkle the paper that contains your name before putting it into the drawing box? A curious student conducted a study to investigate. The student took 100 equal sized slips of paper and crinkled 25 of them before putting them all into a box. After mixing well, they asked an uninformed person to select a winner at random. The student noted if the slip was crinkled. The slip was returned to the box, mixed well, and asked another uninformed person to select a winner at random. This process was repeated 10 times. Let Y = the number of times that a crinkled paper was selected.

Answers

Answer: hello your question to the given scenerio is missing below is the missing question

question:  Does this setting represent a Binomial distribution ?

answer : Yes the setting represents a Binomial distribution

Step-by-step explanation:

The setting represents a Binomial distribution, because the criteria's for a Binomial distribution is all present which are

The random variable ( number of times a crinkled paper is picked ) is represented as Y Each sample is drawn independently and with replacement there are only two outcomes ( success or failure )Number of trials is given as  10 probability of success = 25 / 100 = 0.25

yes, this setting represent the binomial distribution.

Given that,

The student took 100 equal sized slips of paper and crinkled 25 of them before putting them all into a box.

After mixing well, they asked an uninformed person to select a winner at random.

We have to determine,

Does this setting represent a Binomial distribution.

According to the question,

Let Y = the number of times that a crinkled paper was selected.

The setting represents a Binomial distribution, because the criteria's for a Binomial distribution is all present .

These are the points which represents the given representation is a binomial distribution.

The random variable ( number of times a crinkled paper is picked ) is represented as Y.

Each sample is drawn independently and with replacement.

There are only two outcomes ( success or failure ).

Number of trials is given as 10 times repeated.

The probability of the success,

        [tex]Probability\ of \ success = \dfrac{25}{100} = 0.25[/tex]

Hence, yes this setting represent the binomial distribution.

To know more about the Binomial distribution click the link given below.

https://brainly.com/question/23413408

Find the indicated measure. Round answers to the nearest hundredth.

Answers

Bro what I Will do is search up you questions on YouTub it will help you a lot

a spinner has 8 equal sections,6 are green .find probability that will land on green​

Answers

Answer:

P(A) and P(B) = P(A) x P(B)

P(A) = number gray/total number of sections = 6/8 = 3/4

P(B) = number of reggae songs/total number of songs = 2/8 = 1/4

P(A) and P(B) = (3/4)(1/4) = 3/16

Step-by-step explanation:

Answer: 3/4 (0.75)

Step-by-step explanation:

6 out of 8 sections are green.

So there is a 6/8 probability that it will land on green.

6/8 = 3/4.

Describe the properties of equality that Kira used. The first step is to use the property of equality to combine the constant terms. The second step is to use the property of equality to isolate the variable.

Answers

Answer:

1. Subtraction property

2. Division property

Step-by-step explanation:

Question has missing details.

Kira's steps are:

[tex]\frac{7}{2} - 2x = \frac{11}{2}[/tex]

[tex]\frac{7}{2}- \frac{7}{2} - 2x = \frac{11}{2}- \frac{7}{2}[/tex]

[tex]- 2x \div -2= \frac{4}{2} \div -2[/tex]

[tex]x = -1[/tex]

Required

The properties used

For the first step, we have:

[tex]\frac{7}{2} - 2x = \frac{11}{2}[/tex]

To get to step 2, Kira subtracted [tex]\frac{7}{2}[/tex] from both sides.

i.e.

[tex]\frac{7}{2}- \frac{7}{2} - 2x = \frac{11}{2}- \frac{7}{2}[/tex]

This property is subtraction property

In the second step, where x is isolated.

[tex]- 2x \div -2= \frac{4}{2} \div -2[/tex]

Both sides of the equation were divided by -2  to give:

[tex]x = -1[/tex]

This property is division property

Answer:

person above correct

helppppppppp id.k this

Answers

Answer:

-432 ,-2 ,2 ,72

Step-by-step explanation:

The Answer Is 2,592

This is because this is a geometric sequence, every number is multiplied by -6 to find the next number in the sequence.

What is the value of x?
A. 30

B. 42

C. 39

D. 85

Answers

Answer:

39

Step-by-step explanation:

102 + 39 + x = 180

180 - 141 = 39

39 is x

Hope this helps!

PLEASE HELP!!!
Give an example showing why one of the methods is not correct.

Answers

Answer:

Brandon's methot is not correct

for example: x=9 9×1/2=4.5

Answer: Brandon's method is not correct

Here's why:

Let's use his method to find the square root of 36. That means we multiply 36 by 1/2 = 0.5 to get 36*0.5 = 18; however, 18 is not the square root of 36. We can see that 18*18 = 324. Instead, the square root of 36 is 6 because 6*6 = 36.

As another example, let's say we want to find the square root of 64. With Brandon's method, we would get to 64*0.5 = 32, but 32*32 = 1024. Ashley's method is correct and 8*8 = 64 shows that 8 is the square root of 64.

As a visual approach, think of a square with side lengths 8 feet each. The area would be 8*8 = 64 square feet. If you didn't know the side length, but you knew that the area was 64 square feet, then you could apply the square root operation to find the side length to be 8 feet (or you could effectively use Ashley's guess-and-check method to arrive at 8 feet). In short, the square root operation is the opposite of squaring a number. We consider these inverse operations.

Multiplying by 1/2 is the same as dividing by 2. Division is the opposite of multiplication, and division is not the inverse of squaring a number. It's just a coincidence that Brandon's method happened to work on the value 4. But as shown earlier, it doesn't work in general.

Fig. A shows a paper cup in the shape of an inverted right circular cone. Its base radius is 4 cm and its slant height is 8.5 cm.

(a) Find the capacity of the paper cup.

(b) The paper cup is cut along PQ to form the sector in Fig. B. Find
(i) the area of the sector,
(ii) the angle of the sector.

(a)
Height of the cup
= [tex]\sqrt{ {8.5}^{2} - {4}^{2} }[/tex]
= 7.5 cm
The capacity of the cup
= [tex] \frac{1}{3} \times \pi \times {4}^{2} \times 7.5[/tex]
= 126 cm³ (cor. to 3 sig. fig.)

(b)(i)
The area of the sector
= [tex]\pi \times 4 \times 8.5[/tex]
= 107 cm² (cor. to 3 sig. fig.)

Can you help me for (b)(ii)?​

Answers

9514 1404 393

Answer:

  16π/17 radians ≈ 169.41°

Step-by-step explanation:

The arc length of the sector is the circumference of the cone:

  C = 2πr = 2π(4 cm) = 8π cm

The angle and arc length are related by ...

  s = rθ . . . . . θ in radians

  8π cm = (8.5 cm)θ

  θ = 8π/8.5 = 16π/17 . . . . radians

bii) The angle of the sector is 16π/17 radians ≈ 169.41°.

Answer:

169° (3sf)

Step-by-step explanation:

the area of a circle multiplied by the angle over 360 gives you ans.

x/360 × π × r²=34π -> ur ans frm part i

x × π(8.5²)=12240π

x × 72.25=12240

x=169.41°

Which of the following polynomials does not have real roots?
A. x2 + x-2
B. 12x2 - 17x- 7
C. x + 5x + 6
D. x2 + x + 2

Answers

I think its Cthe anser that what i think dgeve

Which set of side lengths or angle measures can be used to construct a triangle A. 50 inches, 90 inches, 35 inches B. 60 inches, 25 inches, 95 Inches C. 45,45,80 D. 60, 45,75

Answers

Answer:

D. 60, 45,75

Step-by-step explanation:

For options C and D

For a triangle the sum of the angles must always be equal to 180 degrees

So 180 ≠45+45+80

and

60 +45+ 75= 180

For option A and B

The length of the longer side is equal to the square root of the sum of squares of the other two sides in a triangle.

According to Pythagorus theorem

hypotenuse²= base² + perpendicular²

c²= a²+ b²

90²= 50² + 35²

8100= 2500+1225

8100≠3725

95²= 60²+ 25²

9025= 3600+ 625

9025≠4225

Therefore only D is the correct option

Find the surface area of this prism. Please help 20 points!!!!!

Answers

Answer:

ima say 260. .................

Answer:

umm 247

Step-by-step explanation:

Select all the expressions that are equivalent to x2+4x. (^2 means raising something to the 2nd power.)

Answers

Answer:

(x+4)x

Step-by-step explanation:

The factor of the expression into an equivalent form x² + 4x would be;  x(x + 4)

What are equivalent expressions?

Those expressions that might look different but their simplified forms are the same expressions are called equivalent expressions.

To derive equivalent expressions of some expressions, we can either make it look more complex or simple. Usually, we simplify it.

We need to factor the expression into an equivalent form x² + 4x

This expression could also be given by;

x² + 4x

Then factor out x we get;

x² + 4x =  x(x + 4)

Hence, the expression into an equivalent form x² + 4x would be; x(x + 4)

Learn more about expression here;

brainly.com/question/14083225

#SPJ2

Find the radius of a sphere with a volume of 180 cubic feet. Round your answer to the nearest tenth.

Answers

Answer:

3.50ft

Step-by-step explanation:

Given data

Volume= 180ft^3

The expression for the volume of a sphere is given as

Volume=4/3πr^3

substitute

180=4/3*3.142*r^3

180=12.568/3*r^3

180=4.189*r^3

r^3= 180/4.189

r^3= 42.969

cube root both sides

r= ∛ 42.969

r= 3.50ft

Hence the radius is 3.50ft

factorise x squared - 3x

Answers

Answer:

x squared -3× =x(x-3)

Step-by-step explanation:

Since the common factor is x,one comes out to multiply the other to give it x squared and since one x has been written outside already we just write the 3 so that when we multiply it we will get the answer we were asked to factorise

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