PLEASE HELP
Write an equation for the function graphed above.

PLEASE HELP Write An Equation For The Function Graphed Above.

Answers

Answer 1

The equation of the graphed function is [tex]y = 3\sec(\frac{\pi}{3}x) + 2[/tex]

How to determine the equation of the graph?

The graph is a secant graph, and it has the following form

[tex]y = a\sec(bx) + c[/tex]


From the graph, we have the following parameters:

Local minimum = 5 i.e. the minimum y value in the upper quadrantsLocal maximum = -1 i.e. the maximum y value in the lower quadrantTime, T = 6 i.e. the difference between corresponding points on the curve

The amplitude (a) is calculated using:

a = 0.5 *(Local minimum - Local maximum)

a = 0.5 *(5 + 1) = 3

The vertical shift (c) is calculated using:

a = 0.5 *(Local minimum + Local maximum)

a = 0.5 *(5 - 1) = 2

The period (b) is calculated using:

[tex]b = \frac{2\pi}{T}[/tex]

This gives

[tex]b = \frac{2\pi}{6}[/tex]

Evaluate

[tex]b = \frac{\pi}{3}[/tex]

Substitute the values of a, b and c in [tex]y = a\sec(bx) + c[/tex]

[tex]y = 3\sec(\frac{\pi}{3}x) + 2[/tex]

Hence, the equation of the graphed function is [tex]y = 3\sec(\frac{\pi}{3}x) + 2[/tex]

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Related Questions

a license plate has two letters followed by three digits. What is the probabilty that the number om the license are odd numbers

Answers

Answer:50% or 1/2

Step-by-step explanation:

Find the perimeter and area of each figure.

Answers

Area of top left triangle : 8x6 / 2 = 24

Area of large rectangle : 7x16 = 112

Area of full shape: 136

Perimeter = 13+10+8+7+16=54

Hope I helped!

Example : Identify the amount of Xs to Os: XXOXO
Answer is 3:2
Type the ratio which matches its corresponding image set below.
Compare the number of
to

Answers

--- 3 to 2 (3:2) ---

A wheel makes a total of 180 one-degree turns. What is the measure of
the angle?
OA) 181 degrees
OB) 1 degree
OC) 80 degrees
OD) 180 degrees

Answers

isn’t it 180 because the wheel makes 180 one degree turns so basically their just turning 180 degrees but one degree at a time ??


The perimeter of a square is 24 feet. What is the area in square feet

Answers

Answer:

Step-by-step explanation:

Remark

You need 2 formulas to solve this. Use perimeter first and then area.

Formulas

P = 4s

Area = s^2

Givens

Perimeter = 24 feet

Solution

P = 4*s                   Substitute the value for P

24 feet = 4s           Divide both sides by 4

24/4 = 4s/4

6 = s

Now use the area formula

Area = s^2             Substitute 6 for s

Area = 6^2

Area = 36 feet^2

Answer

Area = 36 ft^2

Question -:

The perimeter of a square is 24 feet. What is the area in square feet.

Explanation -:

In this question we are provided with the perimeter of the square and we are asked to calculate the area of the square. First we will calculate the side of the square and then we will calculate the area.

[tex] \small{ \underline{ \underline{ \red{\rm{ Calculating \: the \: side \: of \: the \: square}}}}}[/tex]

We know,

[tex] \star \: \small\boxed{ \rm{ Perimeter_{(square)} = 4 × side}}[/tex]

Substituting the values we get

[tex] \small\bf 24 = 4 × s[/tex]

[tex] \small\sf{ → \dfrac{24}{4} = s}[/tex]

[tex] \small\sf{ → s = 6 \: feet}[/tex]

[tex] \small{ \underline{ \underline{\rm \red{ Now, we \: will \: calculate \: the \: area }}}}[/tex]

We know,

[tex] \star \: \small \boxed{{\rm Area_{(square)} = side × side}}[/tex]

Substituting the values we get

[tex] \small\rm {Area_{(square)} = (6 × 6) feet² = 36 \: feet²}[/tex]

Hence, the area of the square is 36 feet².

The diameter of a rod is required to be 1.51 inches with an acceptable variance of .015 inches. The rod would not be acceptable if the diameter measure


a.1.490 inches

b.1.500 inches

c.1.510 inches

d.1.525 inches

e.1.511 inches

Answers

The rod would not be accepted If the diameter measurement will be less than 1.495. Then the correct option is A.

What is the acceptable diameter of the rod?

The compliance zone of the rod goes over the specification limits of the hole in Imperfect Fit. This indicates that the shaft is big, but the opening is little.

The diameter of a rod is required to be 1.51 inches with an acceptable variance of .015 inches.

The rod would not be accepted If the diameter measurement will be less than 1.495.

Upper limit

→ 1.51 + 0.015

→ 1.525

Lower limit

→ 1.51 - 0.015

→ 1.495

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Set C is the set of natural numbers less than 7.

Answers

Answer:

C = {1, 2, 3, 4, 5, 6}

C = {x ∈ N | x < 7}

Step-by-step explanation:

Hello!

Natural numbers are integers greater than 0 and not including it.

Lets list the natural numbers until 10: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10

Now, set C contains all of the natural numbers less than 7, so we select all of the numbers before 7 into our set.

C = {1, 2, 3, 4, 5, 6}

The set contains numbers 1, 2, 3, 4, 5, and 6.

Set builder notation:

Keep the type of number at the start:

C = {x ∈ N | x < 7}

Variations due to where we live such as an accent or diet are called
A. Learned behaviors.
B. Environmental variations.
C. Inherited variations
D. Continuous variation

Answers

Answer:

A. Learned behaviors.

Step-by-step explanation:

Find the greatest possible number of consecutive zeros at the end of the product of three positive integers if the sum of these three integers equals 939.
(The number 202100 has exactly 2 consecutive zeros at the end.)

Answers

Answer:

A. Of first 100 multiples of 10

B. 5*10*15*20*25*30*35*40*40*45

C. 100!

I would also like to know whether this kind of question is possible in GMAT and what would be the complexity level.

1. 124

2. 10

3. 24

Find the value of x.

Answers

Answer:

x=21

Step-by-step explanation:

Following the vertical angles, we can assume that the equation that has x and 87 are equal to each other. From then, you set them equal to each other and solve for x.

87=4x+3

84=4x                  subtract 3 from both sides

21=x                     divide by 4 to get the x alone on both sides

12. The object below is made of ten
rectangular prisms, each with
dimensions of 5 centimeters (cm) by
3 cm by 2 cm. What is the volume, in
cubic centimeters, of the object?
3 cm
2 cm
5 cm
A 100
B 150
C 250
D 300

Answers

Answer:

D 300

Step-by-step explanation:

because volume for one is [tex]2*3*5[/tex]=30 then 30*10=300

Answer:

The answer is D 300

Step-by-step explanation:

Happy to help

You pick a card at random, put it back, and then pick another card at random
5 6 7
What is the probability of picking a 7 and then picking a 5?
Write your answer as a fraction or whole number.

Answers

Answer:

The probability is 1/9

Step-by-step explanation:

1/3 x 1/3 = 1/9

Answer:  1/9

Reason:

The probability of selecting "7" is 1/3 because there's one card labeled "7" out of three cards total.

The same applies to selecting a "5" as well. When the first card is put back, effectively nothing has changed.

The probability of getting a "7", then getting a "5" is (1/3)*(1/3) = 1/9

What is the area, measured in square centimeters, of the green shape
pictured below? Do not include units in your answer.

Answers

Answer:

14

Step-by-step explanation

Count the whole squares and you get 12. Then count the triangles and you have four. Two triangles = 1 square so you have two squares. After add two and 12.

f(x) = Vx - 14. Find the inverse of f(x).
O A. f-1(x) = (x - 14)3
O B. f 1(x) = 13 + 14
O c. f(z) = (z + 14)°
O D. f-1() = z° - 14

Answers

b

Step-by-step explanation:

correct me if im wrong

Answer:

The Correct answer would be f(x)-1= (X+14)/V

Step-by-step explanation:

y=Vx-14

x=Vy-14

x+14=Vy

y=(x+14)/v

Part C
In GeoGebra, label the measures of the three angles on ∆DEF. Then move point G around the coordinate plane to produce triangles with different sets of angles. Record at least five sets of angles as you move G.

Answers

The sets of angles one gets as one moves G are:

∆EFD∆ GFD∆ GDE, etc.

What is a triangle?

A triangle is known to be a kind of a polygon that is known to have three edges and also three vertices.

Note that the  it is said to be one of the main shapes in geometry as it is often shown as triangle ABC. Therefore, the  sets of angles one gets as one moves G are ∆EFD, GFD, GDE, etc.

Learn more about triangles from

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A bag contains 20 marbles: 5 red, 5 blue, and 10 yellow. What is the probability that a red is randomly selected?
4))
A)
B)
C)
12
1
D)
24

Answers

A. 1 in 4 is 25 percent

What fraction is equivalent to six tenths and has a denominator of 100?


Group of answer choices


six hundredths


sixty hundredths


six hundred hundredths


sixty tenths

Answers

Sixty hundredths

6/10=60/100

least common multiple of 6 and 8

Answers

Answer:

8={8,16,24,32,40}

6={6,12,18,24,33}

so the least common multiple is 24

[tex]\huge\text{Hey there!}[/tex]


[tex]\large\textsf{What are the least common multiples of 6 and 8?}[/tex]


[tex]\large\textsf{Well, first lets find the multiples of both of the numbers \& see}\\\large\textsf{what we could find.}[/tex]


[tex]\huge\textbf{The MULTIPLES of 6}\\\bullet\large\text{ 6, 12, 18,24, 30, and 36}[/tex]

[tex]\huge\textbf{The MULTIPLES of 8}\\\bullet\large\text{ 8, 16, 24, 32, and 40}[/tex]

[tex]\large\textsf{Each of the numbers listed above shared ONE number \& it is 24}[/tex]

[tex]\huge\text{Answer: \boxed{\mathsf{\bold{L}owest \ \bold{C}ommon \ \bold{M}ultiple: 24}}}\huge\checkmark[/tex]


[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]


~[tex]\frak{Amphitrite1040:)}[/tex]

a helicopter took 39 minutes to fly 91 miles, traveling in a headwind. the same helicopter took one hour and 15 minutes to fly 195 miles flying in the opposite direction. if the wind speed and direction was the same for both flights, find the speed of the helicopter in still air and the wind speed. gina wilson algebra brainly

Answers

Using the relation between velocity, distance and time, it is found that the velocity of the helicopter is of 225 mph and of the wind is of 69 mph.

What is the relation between velocity, distance and time?

Velocity is given by distance divided by time, that is:

[tex]v = \frac{d}{t}[/tex]

A helicopter took 39 minutes to fly 191 miles, traveling in a headwind. Due to the headwind, the relative velocity is the sum of the velocities, hence:

[tex]v_h + v_w = \frac{191}{\frac{39}{60}}[/tex]

[tex]v_h + v_w = 294[/tex]

[tex]v_w = 294 - v_h[/tex]

The same helicopter took one hour and 15 minutes to fly 195 miles flying in the opposite direction, hence:

[tex]v_h - v_w = \frac{195}{\frac{75}{60}}[/tex]

[tex]v_h - v_w = 156[/tex]

Since [tex]v_w = 294 - v_h[/tex]:

[tex]v_h - 294 + v_h = 156[/tex]

[tex]2v_h = 450[/tex]

[tex]v_h = 225[/tex]

[tex]v_w = 294 - 225 = 69[/tex]

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Using only the values given in the table for the function f(x) = –x3 + 4x + 3, what is the largest interval of x-values where the function is increasing?

Answers

An interval is made up of integers that fall between two specified provided numbers.  The largest interval of x-values between which the value of f(x) is increasing is -1 to 1.

What is an interval?

An interval is made up of integers that fall between two specified provided numbers. For example, the set of integers x fulfilling 0≤x≤5 is an interval including 0 and 5, as well as all values between 0 and 5.

The table has the repetitive values of f(x), therefore, the largest interval of x-values between which the value of f(x) is increasing is -1 to 1.

Learn more about Interval:

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I need help ASAP?!!!!

Answers

Answer:

B. 1 3/8

or

The second one

Step-by-step explanation:

4 1/8 ÷ 3 = 1.375 = 1 3/8

hope this helps

have a good day

Rewrite the equation below so that it does not have fractions. 3-3/4x=2/5
With out using decimals

Answers

Answer:

-45x=8x

this answer was gotten by simplification.

Which triangle could be drawn as it is described ?

Answers

Answer:  D

Step-by-step explanation:

Step-by-step explanation:

The side measures of choices A and C do not form a triangle of any sort.

The angle measures of choice B mean the remaining angle is ...

 180° -110° -35° = 35°

Two of the angles are the same measure, so the triangle will be isosceles, not scalene. No scalene triangle can be formed with those angle measures.

__

The angle measures of choice D mean the remaining angle is ...

 180° -20° -80° = 80°

Two of the angles are the same measure, so an isosceles triangle can be formed as described in choice D.

Middle school question.
The ground floor of the Ponce Inlet Lighthouse in Florida is circular with a diameter of 32 feet. What is the area of the ground floor?

Answers

(the answer is on the picture. is this correct?) ^^'

Given g(x) = x2 + 1, find g(x – 2).​

Answers

Answer:

g(x)-2g

Step-by-step explanation:

g x(x-2), gx-2g

Which value is equivalent to the expression shown?
3(1 – 2) + |-71

Answers

Answer:

-74

Step-by-step explanation:

3(1-2) + (-71)

3(-1) - 71

-3 -71

-74

How many significant figures are there in the number 3,460?

Answers

Answer:

3 figures

Step-by-step explanation:

Just follow these steps!

Non-zero digits are always significant.

Any zeros between two significant digits are significant.

A final zero or trailing zeros in the decimal portion ONLY are significant.

A photograph with a width of 3 inches and a length of 5 inches will be enlarged so that the length is 40 inches. What will the width equal? A. 20 inches B. 24 inches C. 88 inches D. 120 inches

Answers

Answer:

B. 24inches

Step-by-step explanation:

Original photo

Width= 3inches

length= 5inches

New photo

width=

length= 40inches

3×8=24inches

8=40inches

Orlando is mixing nuts and cereal squares to make a party mix. Nuts sell for $7 a pound and cereal squares sell for $4 a pound. If Orlando wants to make 30 pounds of party mix at a cost of $6.50 a pound, how many pounds of nuts and how many pounds of cereal squares should he use?

Answers

Answer:

0.5lb cereal squares, 0.75 lb nuts

Step-by-step explanation:

1lb nuts = $7

multiply each side by 1/2 (whatever you do to one side, you do to the other),

0.5lb nuts = $3.5

1lb cereal squares = $4

multiply each side by 3/4 (whatever you do to one side, you do to the other),

0.75lb cereal squares = $3

0.5lb nuts + 0.75lb cereal squares = 3.5 + 3 = $6.5

If 60 kilovolts was used for a radiographic exposure and a 15 % increase is required, which of the following should be set by the technologist?

Answers

Step-by-step explanation:

there is nothing "following" here.

however, if I understand correctly, we need a 15% increase to 60 kV.

100% = 60 kV

1% = 100%/100 = 60/100 = 0.6 kV

15% = 1% × 15 = 0.6 × 15 = 9 kV

so, adding these 15% gives us

60 + 9 = 69 kV.

once we understand this mechanism, we can also use the shortcut : to add x% to something, we need to multiply this something by 1.x.

in our case, we want to increase 60kV by 15% ?

the result is

60 × 1.15 = 69 kV

simply because (as the top part should have shown too) x% of the whole = x/100 × whole.

so, to add x% means to have

100/100 × whole + x/100 × whole = 1.x × whole

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