sketch a graph and write an equation for a sinusoidal function that has a period of 12 seconds, a maximim height of 8ft and a minimim height of -4 ft. At a time t=0, the function's height is at its highest point.

Sketch A Graph And Write An Equation For A Sinusoidal Function That Has A Period Of 12 Seconds, A Maximim

Answers

Answer 1

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The amplitude of the function is half the difference between the maximum and minimum:

  A = (8 -(-4))/2 = 6

The multiplier of t is (2π)/period, so is ...

  B = (2π)/12 = π/6

The vertical offset is the average of the minimum and the maximum:

  D = (8 +(-4))/2 = 2

The peak is at t=0, so the cosine function is the appropriate choice.

__

Then the function is ...

  f(t) = Acos(Bt) +D

  f(t) = 6cos(πt/6) +2

Sketch A Graph And Write An Equation For A Sinusoidal Function That Has A Period Of 12 Seconds, A Maximim

Related Questions

Felipe grows tomatoes.
0
20
60
80
The box plot shows information about
the weights of Felipe's tomatoes.
40
Weight (grams)
Felipe says “at least half of my tomatoes weigh more than 50 grams each".
a) Which of the statements below describes Felipe's statement best?
A- He is correct because the Median weight is 48 grams.
B - He is wrong because the Median weight is above 50 grams.
C - He is correct because the Median weight is 56 grams.
(1)
b) Work out the range of weights of Felipe's tomatoes.
(1)
c) Work out the interquartile range of weights of Felipe's tomatoes.
(1)

Answers

Answer:

a) c

b) 62

Step-by-step explanation:

He is correct because the Median weight is 56 grams.

Option C is the correct answer.

The range of weights of Felipe's tomatoes is 62.

The interquartile range of weights of Felipe's tomatoes is 44 grams.

What is a median?

It is the middle value of the given set of numbers after arranging the given set of numbers in order.

We have,

From the box plot,

Median = 56 grams

Now,

The statement that Felipe describe is correct because the median weight of 56 grams.

The range of the weights of the tomatoes.

= Highest value - Lowest value

= 78 - 16

= 62

The interquartile range of weights of Felipe's tomatoes.

= Upper quartile - Lower quartile

= 72 - 28

= 44 grams

Thus,

Median weight = 56 grams.

Range = 62

Interquartile range = 44 grams.

Learn more about median here:

https://brainly.com/question/28060453

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The answer to this problem

Answers

Answer:

Check pdf

Step-by-step explanation:

Answer:

p ≥ − 9

Step-by-step explanation:

what is the 11.2???

A local dump truck is carrying 13.4 tons of gravel. How many pounds is it hauling?

Answers

Answer:

26,800 pounds of gravel

Step-by-step explanation:

13.4 tons is equal to 26,800 pounds

find area of trapezoid ​

Answers

Answer:

150 sqaure ft

Step-by-step explanation:

okay so the formula for area of a trapezoid is

1/2 (b1 + b2) h

so base one of 15 plus two of 10 os 25 ft

25 feet divided by 2 is 12.5 so 12.5 × 12 is 150

What is the value of b?

Answers

The value of b should be 59

Plss help !!!!!!!!!!!!!!!!

Answers

Answer: C (324)

Step-by-step explanation:

He is making $54 a day working 6 hours a day. 54 x 6 = 324 meaning in 6 days he would make $324.

Answer:

C. 324 thats the answer my cousin solved this

A 20-ounce bottle of lotion costs $4.00. How many ounces do you get for each dollar?

Answers

Answer:

You get 5 ounces per dollar

Answer:

You get 5 ounces for each dollar you spend in this deal

Step-by-step explanation:

If you were to put both of these numbers side by side and figure out how many times 4 goes into 20 that would be 5. Therefore you get 5 ounces for each dollar you spend.

Identify whether each cube root or square root lies between 2 and 3, 4 and 5, or 9 and 10.
3101
V90
3390
3120
V20
800

Answers

Answer:

3101

Step-by-step explanation:

a company sells tablet computers and phones. it sells a total of 150 items this month. the number of tablets sold is half of the number of phones sold. the company makes profit of $300 on each tablet and $400 on each phone. what is the profit the company makes this month?

Answers

Answer:

$52500 this month

Step-by-step explanation:

150 divided by 2 = 75

$75 x 300 = 22500

$75 x $400 = 30000

  $22500

+ $30000

_________

 $52500

HELPPPPP !!!!!!! Please answer correctly Will mark Brianliest !!!!!!!!!!

Answers

The coordinates of B would be (-1, -3)

Five times a number decreased by nine is equal to twice the number increased by 23. Which equation could be used to solve the problem?

Answers

Answer:

5x - 9 = 2x + 23

Step-by-step explanation:

x = a number

5 times x = 5x

decreased by 9 = - 9

=

2 times x = 2x

increased by 23 = + 23

Answer:

Step-by-step explanation:

The answer is B. 5x – 9 = 2x + 23. i just took the test.

A triangle with base 8.2 cm and height 5.1 cm has an area of.

Answers

Answer:

Triangle area = 20.91 cm^2

Step-by-step explanation:

area = 1/2(b*h)

area = 1/2(8.2*5.1)

area = 1/2(41.82)

area = 20.91 cm^2

Q1.) The trail mix contains 2 1/2 cups of peanuts, 2 cups of raisins, 2 cups of pretzel sticks, and 1.5 cups of
banana chips. What percent of the mix are raisins?

Answers

Answer:

25% of the mix is raisins

A city has a population of 220,000 people. Suppose that each year the population grows by 3.75%. What will the population be after 9 years? How many people

Answers

Answer:

294250 people will be there after 9 years if the population is increased 3.75% annually.

Step-by-step explanation:

First, 3.75% of 220000

then multiply the answer with 9.

again add the answer with 220000.

hence your answer came.

try it. Hope it helps

The width of a rectangular field is 20 feet less than its length. The area of the field is 12,000 ft? What is the length of the field?

80 ft
100 ft
120 ft
140 ft

Answers

Answer:

The answer is 120 feet.

Step-by-step explanation:

The area of the field (A) is:

A = w · l       (w - width, l - length)

It is known:

A = 12,000 ft²

l = w - 20

So, let's replace this in the formula for the area of the field:

12,000 = w · (w - 20)

12,000 = w² - 20

⇒ w² - 20w - 12,000 = 0

This is quadratic equation. Based on the quadratic formula:

ax² + bx + c = 0      ⇒  

In the equation w² - 20w - 12,000 = 0, a = 1, b = -20, c = -12000

Thus:

So, width w can be either

or

Since, the width cannot be a negative number, the width of the field is 120 feet.

The length of the field is 120 feet.

Option C is the correct answer.

What is a rectangle?

A rectangle is a 2-D shape with length and width.

The length and width are different.

If the length and width are not different then it is a square.

The area of a rectangle is given as:

Area = Length x width

We have,

Let's start by using the given information to set up two equations:

Let x be the length of the field in feet.

Then, the width of the field is x - 20 feet.

The area of the field is given as 12,000 square feet:

x (x - 20) = 12,000

Expanding the left side of the equation, we get:

x² - 20x = 12,000

Bringing all the terms to one side, we get:

x² - 20x - 12,000 = 0

Now, we can solve this quadratic equation using factoring,

Completing the square, or the quadratic formula.

Here, we will use factoring:

x² - 20x - 12,000 = 0

(x - 120) (x + 100) = 0

The solutions are x = 120 and x = -100, but a negative length doesn't make sense, so we reject that solution.

Therefore,

The length of the field is 120 feet.

To check, we can substitute x = 120 into the equation for the width:

Width = x - 20 = 100 feet

Area = Length x Width

= 120 ft x 100 ft

= 12,000 sq ft

Thus,

The length of the field is 120 feet.

Learn more about rectangles here:

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Somebody pls!! “Write the equation of the line in fully simplified slope-
intercept form.”

Answers

Answer:

y = 3/5x + 5

Step-by-step explanation:

Slope-intercept form is y = mx + b where m is the slope (rise / run of the line) and b is y-intercept (y value of where the line intersects with the y-axis.

The line is rising up 3 and run to the right 5 and so it's slope is 3/5. The line intersects with the y-axis at a y value of 5 and so it's y-intercept is 5.

Therefore, your answer in slope-intercept form is y = 3/5x + 5.

The power, P (watts) , of a car engine is proportional to the square of its speed, s ( m / s ) . When s = 30 , P = 1260 . Work out the power when the speed is 25 m / s

Answers

Answer:

875 Watts

Step-by-step explanation:

Given that :

P α s²

P = ks²

Where k is the proportionality constant

When ; p = 1260 ; s = 30

1260 = k * 30²

1260 = 900k

k = 1260 / 900

k = 1.4

Value of p ; when s = 25

P = 1.4 * s²

P = 1.4 * 25²

P = 1.4 * 625

P = 875 watt

bdhbdwbchdbvcwvdebvkbdebv kdbvjbwkv

Answers

I think the answer to this is 3!

I WILL DO ANYTHING JUST PLEASE

Answers

Answer:

95 0r 91

Step-by-step explanation:

Answer:

93

Step-by-step explanation:

trust me

0/2
Sandy had one hundred fifty - five dollars to spend on eight books. After buying them she had eleven dollars. How much did each book cost?

Answers

Answer:

Each book costs $18.

Step-by-step explanation:

$155 - 11 = $144 left

$144/8 books = $18 per book

Hope this helps!

Answer:

155 minus the 11 she still had means she spent 144.

144 divided by 8 books comes to $18 per book, on average.

A company sells widgets. The amount of profit, y, made by the company, is related to
the selling price of each widget, x, by the given equation. Using this equation, find out
what price the widgets should be sold for, to the nearest cent, for the company to
make the maximum profit.
3032 + 13251 – 8569

Answers

Answer:

bad expression

Step-by-step explanation:

13251+3032−8569=7714

Find X and missing angle

Answers

Answer:

15

Step-by-step explanation:

all triangles are 180 so 180-75-90 =15

Answer:

x = 2.22

missing angle = 15°

Step-by-step explanation:

tan 75° = 12/x

tan 75° = 3.7321

x = 12/3.7321 = 2.22

missing angle = 90° - 75° = 15°

Fill in the blanks to the picture above

Answers

Middle one is the answer

Answer:

The answer is B, 6x^2 - 21x + 15

Step-by-step explanation:

= (3x + − 3) (2x + − 5)

= (3x) (2x) + (3x) (− 5) + ( − 3) (2x) + ( − 3) ( − 5)

= 6x^2 − 15x − 6x + 15

= 6x^2 − 21x + 15

- I don't know how you want me to fill the boxes exactly but here's the step by step explanation. I hope I helped.

write some thing good in answer.
Fro. there I will choose one and I will mark one person as a Brilliant.
So write fast it is valid till 15 days.​

Answers

Answer:

You’re awesome.

Answer:

some thing good in answer.

Zamir needs to determine the height of the building

What’s the Height “A”
What’s Height “B”
What’s the Height of “X”

PLEASE

Answers

Answer:

Height of the building = 115.4 ft.

Step-by-step explanation:

Height of building = AB + 46.4 + CD + 30.5

By applying Pythagoras theorem in ΔABP,

(26)² = (10)²+ (AB)²

676 - 100 = AB²

AB² = 576

AB = 24 ft

By applying sine rule in ΔCDE,

cos(60°) = [tex]\frac{CD}{CE}[/tex]

CD = CE × [tex]\frac{1}{2}[/tex]

CD = [tex]\frac{29}{2}[/tex]

CD = 14.5 ft

Total Height = 24 + 46.4 + 14.5 + 30.5

                     = 115.4 ft

can u pls help me with this question asap ​

Answers

Answer:

a.

Step-by-step explanation:

A handbag contains seven coins and three
keys. Two items are taken out of the handbag
one after the other and not replaced. Find
the expected number of keys taken out of the
handbag

Answers

Answer:

0.59998

Step-by-step explanation:

Number of keys = 3

Number of coins = 7

Total = 10

Number of items taken out = 2

Expected number of keys taken out:

Let x = Number of keys taken out

X = 0

1st pick = 7/10

2nd pick = 6/9

7/10 * 6/9 = 0.46666

X = 1

(7/10 * 3/9) + (3/10 * 7/9) = 0.46666

X = 2

(3/10 * 2/9) = 0.066666

X : ____ 0 ______ 1 _______ 2

P(X): _0.46666__0.46666 _0.06666

Expected value :

(0*0.46666) + (1*0.46666) + (2*0.06666)

= 0.59998

HELPPPPPP
MEEEE PLEASE

Answers

Answer:

yse

Step-by-step explanation:

bakit ano ang maitotolong

Find the factors of 9q²-45pq+8q-40p

Answers

Answer:

(x−5y)(9x+8)

Step-by-step explanation:

9x^2−45yx+8x−40y

Do the grouping 9x^2−45yx+8x−40y=(9x^2−45yx)+(8x−40y), and factor out 9x in the first and 8 in the second group.

9x(x−5y)+8(x−5y)

Factor out common term x−5y by using distributive property.

(x−5y)(9x+8)

PLZ PLZ PLZ HELP I GIVE BRAINEST ​

Answers

0.00604662

Or

59049/3125^2
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