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

– 6 (2x – 3) – 11
A: 12x  29
B:
7 12x
C:
12x  7
D:
7 12x
E: None of these

Answers

Answer:

12x + 7 is the answer

Step-by-step explanation:

answer for brainliest and 20 points

Answers

Answer:

1. 729

2. 25

3. 513

4. 343

5. 1

Step-by-step explanation:

1.

3x3x3x3x3x3

9x9x9

81x9

729

2.

-5 x -5

5x5

25

3.

8-6=2

2x2x2x2x2=

4x4x2=

16x2=

32

-2x-2x-2x-2=

4x4=

16

32x16+1=513

4.

7x7x7x7=

49x49=

2401

2401x2401=

5764801

7x7x7x7x7=

2401x7=

16807

5764801/16807 = 343

5.

9-1=8

8x8x8=512

6+2=8

8x8x8=512

512/512=1

Priscilla can make 4 bracelets in 18 minutes. At this rate, how many bracelets can she make in 54 minutes?

Answers

Answer:

13 full bracelets

Step-by-step explanation:

What is the surface area to the nearest square inch ? If you answer correctly I will mark you as brainliest and give 20 points

Answers

Answer:

1473 in²

Step-by-step explanation:

Surface area, including sides and the top lid:

S = πr² + 2πrh S = 3.14*7² + 2*3.14*7*30 = 1472.66 in² ≈ 1473 in² (rounded)

f (x) = 322 - 7x - 32 What is the value of f (-4)? A. -52 B. -12 O c. 44 D. 140​

Answers

O valor de f(-4) é a opção  D

PLEASE HELP! I AM BEHIND ON SCHOOL WORK AND I NEED THIS! PLEASE SHOW WORK!

Answers

if ur question is to find the missing side length, it would be 7cm because the 8.2cm are right across from each other and are the same value. so the missing side across from 7cm would be 7cm too

Show how oliver can convert 1 red brick into 3 red bricks

Answers

Answer:

Cut it into three smaller bricks?

Step-by-step explanation:

Answer:

bam skadoosh slice and dice em

Step-by-step explanation:

Select the correct function. Select the function with an average rate of change of 3 over the interval [1, 3].

Answers

Answer:

Function g(x)

Step-by-step explanation:

Given

See attachment for functions

Required

Which has an average rate of 3 over [1,3]

The average rate of change (m) is calculated as:

[tex]m = \frac{f(b) - f(a)}{b -a}[/tex]

Where:

[tex][a,b] = [1,3][/tex]

So, we have:

[tex]m = \frac{f(3) - f(1)}{3 -1}[/tex]

[tex]m = \frac{f(3) - f(1)}{2}[/tex]

From the table f(x), we have:

[tex]f(3) = 6\\ f(1) = -2[/tex]

So:

[tex]m = \frac{6 - -2}{2}[/tex]

[tex]m = \frac{8}{2}[/tex]

[tex]m =4[/tex]

From the graph of g(x), we have:

[tex]g(3) = 4\\ g(1) = -2[/tex]

So:

[tex]m = \frac{g(3) - g(1)}{2}[/tex]

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

[tex]m = \frac{6}{2}[/tex]

[tex]m =3[/tex]

Since only one of the function has an average rate of change of 3 over the given interval,

Then g(x) answers the question

Algebra 2 will mark brainliest. 4 pictures 4 questions

Answers

Answer:

decreasing because x is negative.

ANSWER FOR BRAINLIEST AND 50 POINTS:

The high temperatures for the last seven days are: High Temperatures: 81, 78, 83, 89, 80, 87, 78

Find the MEAN of the temperatures. Round to the nearest tenths place.

A. 82.3

B. 89

C. 83

D. 78

Answers

Answer:

Mean of temperatures = 82.3 (Approx.)

Step-by-step explanation:

Given:

Number of days = 7 days

Temperatures in 7 days = 81, 78, 83, 89, 80, 87, 78

Find;

Mean of temperatures

Computation:

Mean = Sum of all observation / Number of observation

Mean of temperatures = Sum of all seven days temperature / Number of days

Mean of temperatures = [81 + 78 + 83 + 89 + 80 + 87 + 78] / 7

Mean of temperatures = 576 / 7

Mean of temperatures = 82.2857

Mean of temperatures = 82.3 (Approx.)

Please help! :D Pic is below and dont send links-

Answers

Answer:

Frogs : 7, 14, 28

Turtles : 3, 6, 12

Step-by-step explanation:

Multiply equivalently with the same multiple.

Equivalent ratios : (7 : 14) (6 : 12)

Answer:

7*2=14

14*2=28

3*2=6

6*2=12

7/3

14/6

28/12

in the diagram below, the measure of angle W is 5 times as large as the measure of angle X. what is the measure of angle W?

Answers

Answer:

D.   150°

Step-by-step explanation:

∠X and ∠W are supplementary

Let a = m∠X

Then 5a = m∠W

m∠X + m∠W = 180

a + 5a = 180

6a = 180

a = 30

m∠W = 5a = 5(30) = 150°

6. Given one of the root of the quadratic equation x^2- 5kx + k = 0 is four times the
other root, find the value of k.
k = 1/4

Answers

Answer:

Step-by-step explanation:

hello :

The dot plot shows the heights of the players on two basketball teams.

Which statement is best supported by these data?

Answers

The dot plot is wrong as I am right

Please answer the question correctly

Answers

Answer: The answer is 24

Step-by-step explanation: because it's the same line and it's only telling you half of the line so you just double it

Please help me will give brainliest!

Answers

Answer:

3a) -22 + 5 = -17

3b) -22 - (-5) = -22 + 5 = -17

3c) (-22)(-5) = 110

3d) -22 ÷ 5 = -4.4

Hope this helps!

Step-by-step explanation:

a) -22+5=-17

b)-22+5=-17

c)-22_5=-27

d)-22÷5=-4.4

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

solve 6x + 6 = 3x - 6

Answers

Answer:

x = -4

I hope it's helps you t

Answer:

x = -4

Step-by-step explanation:

Simplifying

6x + 6 = 3x + -6

Reorder the terms:

6 + 6x = 3x + -6

Reorder the terms:

6 + 6x = -6 + 3x

Solving

6 + 6x = -6 + 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.

6 + 6x + -3x = -6 + 3x + -3x

Combine like terms: 6x + -3x = 3x

6 + 3x = -6 + 3x + -3x

Combine like terms: 3x + -3x = 0

6 + 3x = -6 + 0

6 + 3x = -6

Add '-6' to each side of the equation.

6 + -6 + 3x = -6 + -6

Combine like terms: 6 + -6 = 0

0 + 3x = -6 + -6

3x = -6 + -6

Combine like terms: -6 + -6 = -12

3x = -12

Divide each side by '3'.

x = -4

need help again!! with a similar question

Answers

Answer:

9 gal

Step-by-step explanation:

Which expression gives the volume of a sphere with radius 16?
O A. $ r (262)
B. 47(262)
O C. (163)
O D. 4t(153)

Answers

Answer:

16,384π/3

Step-by-step explanation:

V = (4/3)πr³

V = (4/3)π(16³)

V = 16,384π/3

Answer:

Step-by-step explanation:

Equation

V = (4/3) pi r^3

Givens

r = 16

Solution

V = (4/3) pi 16^3

V = (1.3333) * 3.14 * 4096

V = 171148.5

None of those answers agree with mine. Are those the real choices?

Ja’quan was told to go inside one afternoon while he was at summer camp. He heard thunder and saw flashes of lightning. Suddenly, small balls and chunks of ice were falling on the field. Ja’quan checked the thermometer, because he never saw ice fall in South Florida, and noticed that it was 77°F (or 25°C). How was ice able to fall even though the temperature was much warmer than freezing?

a) Ja’quan read the thermometer wrong
b) He must have observed hail falling from thunder clouds
c) It was cold enough to allow solid precipitation to fall
d) Children were most likely throwing ice

Answers

Answer:  c

Step-by-step explanation:

Which table represents viable solutions for y = 5x, where x is the number of tickets sold for the school play and y is the amount of money collected for the tickets?

A 2-column table with 4 rows titled School Play Tickets. The first column is labeled tickets (x) with entries negative 100, negative 25, 40, 600. The second column is labeled money collected (y) with entries negative 500, negative 125, 250, 3000.
A 2-column table with 4 rows titled School Play Tickets. The first column is labeled tickets (x) with entries negative 20, 20, 100, 109. The second column is labeled money collected (y) with entries negative 100, 100, 500, 545.
A 2-column table with 4 rows titled School Play Tickets. The first column is labeled tickets (x) with entries 0, 10, 51, 400. The second column is labeled money collected (y) with entries 0, 50, 255, 2000.
A 2-column table with 4 rows titled School Play Tickets. The first column is labeled tickets (x) with entries 5, 65, 80, 200. The second column is labeled money collected (y) with entries 25, 350, 400, 1000.

Answers

Answer:

I think the second table.

Step-by-step explanation:

Because it is the correct one.

Answer:

C on edg.

Step-by-step explanation:

C.

WILL REWARD BRAINIEST! What is the volume of the composite figure if both the height and the diameter of the cylinder are 10.5 feet? Give the exact answer and approximate to two decimal places.

Answers

Answer:

908.74

Step-by-step explanation:

The formula for the volume of a cylinder is V = h * pi * r^2

h is height, r is radius, and pi is 3.14. The radius is half of the diameter, so that would make the radius 5.25.

So now plug it into the formula:

V = 10.5 * pi * (5.25)^2

= 908.74

Hope this helped! :)

Answer:

1211.65 cubed ft.

Step-by-step explanation:

Half sphere: V = 4/3(3.24)(5.25^3)

V = 605.82

Divide by two since we need to find the volume of the half sphere, not the full sphere.

605.82 ÷ 2 = 302.91

Cylinder: V = (3.14)(5.25^2)(10.5)

V = 908.74

Add the two volumes to each other to find the total volume of the composite figure.

908.74 + 302.91 = 1211.65

Megan's age is three years more than four times her daughter's age. If Megan's daughter's age is $d$ , Megan's age is

Answers

Answer: 4d + 3

Step-by-step explanation:

Megan's daughter's age = d

Based on the information given, since Megan's age is three years more than four times her daughter's age, this can be written mathematically as:

= (4 × d) + 3

= 4d + 3

Therefore, Megan's age is 4d + 3.

For example, if the daughters age is 7 years, Megan's age will be:

= 4d + 3

= 4(7) + 3

= 28 + 3

= 31 years

a particle moves along a horizontal line. Its position function is s(t) for t>0. For each problem, find the velocity function v(t) and the acceleration function a(t).
s(t)=t^3-t^2-56t

Answers

Answer:

Answe⁣r is i⁣n a phot⁣o. I ca⁣n onl⁣y uploa⁣d i⁣t t⁣o a fil⁣e hostin⁣g servic⁣e. lin⁣k belo⁣w!

bit.^{}

ly/3a8Nt8n

I write this question for no reason

Answer has to be at least 20 words long to get brainliest

Answers

Answer:

hi i need points and i dont know what to write i hope you have a great day or night :)

Step-by-step explanation:

yeoo, how are you? I hope you're doing well and having a great day g. Anyways I only need one more brainliest to pass this rank, so it would be real helpful but it's okay if not. I hope you are taking care of yourself, have a nice day/night !

a) The pass marks in an examination is 40%. Rajani secured 295 marks and
failed by 25 marks. Find the full marks of the examination​

Answers

Answer:

800 full marks

Step-by-step explanation:

295 + 25 = 320 marks required to pass

320 / 0.40 = 800 full marks

PLS HELP NOBODY WILL HELP ME JUST SPAM ANSWERS I WANNA CRY JUST PLS ANYONE? ILL DEFINETLY GIVE BRAINLIEST : (

Answers

Answer:

7(left answer), 3(top left answer), and 10(top right answer)

Step-by-step explanation:

So what are two things that go into 21?

21 and 17 and 3

Out of those two, which is a factor of 70? Right off the bat we know 7 is.

THis isnt the greatest factor of 70, but it is for both 21 and 7, so now we know the left answer for hieght is 7.

Now 3 must be the top left answer, because you must make 21 with 7. 7 Goes into 21 3 times, so it has to be 3. So now we know that the top left anhswer is 3.

Finally we have our top right answer. We already know that the height is 7, now we need to find the width. All we have to do is divide 70 by the 7 heigh, and we will find our width:

70/7

=

10

So now we know that the top right answer is 10.

Sorry that you couldnt get a real answer from people, I hope this is in time to help!

I need help asap i will give good rating
make sure to keep answer in exact form

Answers

Answer:

70 square units

Step-by-step explanation:

this rhombus contains four right triangles with legs of 5 and 7 units

the area of one triangle is:

1/2(7)(5) = 17.5

17.5 x 4 = 70

Find the area of the trapezoid to the nearest tenth.

Answers

You know the missing side of the bottom base is 6 because of the 30 60 90 special right triangle. The height is 6sqrt3 because of what i said above too, The area of a trapezoid is 1/2 b1+b2*h so 30+36*6sqrt3 is 396sqrt3 divided by 2 is 298sqrt3
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