Today,high tide measured 5.5 ft and low tide measured 1 ft. What is the amplitude of a cosine function modeling the depth of the water in feet as a function of time in hours

Answers

Answer 1

Answer:

[tex]A = 2.25ft[/tex]

Step-by-step explanation:

Given

[tex]High = 5.5ft[/tex]

[tex]Low = 1ft[/tex]

Required

The amplitude (A)

This is calculated as:

[tex]A = \frac{1}{2}(High - Low)[/tex]

So, we have:

[tex]A = \frac{1}{2}(5.5ft - 1ft)[/tex]

[tex]A = \frac{1}{2} * 4.5ft[/tex]

[tex]A = 2.25ft[/tex]


Related Questions

in Lisa’s school, 53% of students take a bus to school, 38% go the bus riders were late one snowy morning. 25% of students who don’t take a bus to school were not late that morning. What percent of students who do not take the bus was late that morning?

Answers

Answer:

I got 53% but I'm not sure

Step-by-step explanation:

if 53% of students take the bus, then 47% of students DON'T.

25% (the percent of non-riding students who were late) of 47 is about 53%

32% of a number is 64 what is the number

Answers

Answer:

If you take 32 percent of a number and get 64, then what is that number? In other words, you know that 32 percent of a number is 64 and you want to know what that initial number is. Therefore, the answer to "64 is 32 percent of what number?" is 200, and you can also derive that 32 percent of 200 equals 64.

Step-by-step explanation:

200

Step-by-step explanation:

32% x = 64

(32/100)x= 64

0.32x=64

x=64÷0.32

x=200

Solve for x in this equation.
7^3x-17 = 49^x

Answers

Answer:

X = 17

Step-by-step explanation:

If you created equivalent expressions with equal bases that should be the answer.

Answer: x=17

Write in exponential form: 7^3x-17 = 7^2x
3x-17=2x
-2x -2x
————-
X=17

Melissa has a spray paint that covers about 6,500 square centimeters. Can melissa apply two coats of paint to the entire sculpture?

Answers

Answer:

This question cannot be solved. It does not say anything about a statue in the first sentence and it doesn't give you the area of the statue.

Step-by-step explanation:

Answer:

Actually, in my math book I had that question. The answer was yes, I don’t remember why, but there was a picture included of the sculpture.

Step-by-step explanation:

You have to find the surface area of the cube and the surface area of the cylinder, but you don’t count the faces (circles). Then you total them, and find your answer. You do 6,500 times 2.

Aidan is saving money to buy a new computer. He made a scatter plot and a linear model for the amount of money he has saved over the past eight weeks. The equation of the line is y = 17.63x + 27.52 . Use the model to predict how much aidan saved over five weeks

Answers

Answer:

Aidan saved 115.67 over five weeks.

Step-by-step explanation:

After x weeks:

The amount of money saved by Aidan is given by:

[tex]y(x) = 17.63x + 27.52[/tex]

How much aidan saved over five weeks?

This is y when x = 5. So

[tex]y(x) = 17.63x + 27.52[/tex]

[tex]y(5) = 17.63*5 + 27.52 = 115.67[/tex]

Aidan saved 115.67 over five weeks.

Find a round to the nearest tenth a 150 12 10cm c a=?cm

Answers

Answer:

[tex]Using~ the ~ law~ of ~sinse:-[/tex][tex]\frac{a}{SinA} =\frac{b}{SinB}[/tex][tex]\frac{a}{Sin150}[/tex][tex]=\frac{b}{SinB}[/tex][tex]a=\frac{10~sin~150}{Sin~12}[/tex][tex]a=[24] ~cm[/tex]-----------------------hope it helps..have a great day!!

The 12 pair pack of socks includes 4 pairs of Polo, 5 pairs of plain white socks, and a few grey pairs. What is the Possibility of pulling a pair of grey sock two times in a row? The first pair is not to be returned.

Answers

Answer:

2/11

Step-by-step explanation:

12-4-5=3

So now we know that we have:

4 pairs of polo socks

5 pairs of plain white socks

3 pairs of grey socks

To pull a grey sock one time is 3/12 since there are 12 total socks and 3 pairs of grey socks but since we remove a sock, in the second time, the probability would be 2/11.

Hope this helps! Brainliest?

find the equation of a line that passes through (3 1) and ia parallel to y=1-2x leave your answer in the form of y=mx+c

Answers

Answer:

y = -2x+7

Step-by-step explanation:

Parallel lines have the same slope

y = 1-2x has a slope of -2

So the new line has a slope of -2

We have a slope of -2 and a point of (3,1)

y = mx+c

1 = -2(3)+c

1 = -6+c

Add 6 to each side

1+6 =c

7 =c

y = -2x+7

How will she know if 5(3x – 6) is equivalent to 15x – 30?

Answers

Answer:

By distributing the parenthesis

Step-by-step explanation:

Given

5(3x - 6) ← multiply each term in the parenthesis by 5

= 15x - 30 ← as required

Can someone help me with this, Thx!

Answers

Answer:

x = 45

Step-by-step explanation:

x = 20 + 25

as x is vertically opposite to GED

and vertically opposite angles are equal

Given m||n, find the value of x.

(7x-4)
(3x+28)º

Answers

Answer:

8

Step-by-step explanation:

7 x 8 = 56 56 - 4 = 52.

3 x 8 = 24 24 + 28 = 52

Math help please urgent

Answers

Answer:

area of circle is 2πr²

= 2 x 3.14 x 8 x 8

= 402 cm

Find the perimeter of the window to the nearest hundredth perimeter: about ft

Answers

Answer:

I would answer but I have no numbers to give the answer

There is a 15% chance it will snow and a 15% chance it will rain. What is the probability that it will be a dry day (meaning that it will neither snow nor rain)? HELP PLS

Answers

Answer:

70%, obviously

Step-by-step explanation:

15 + 15 = 30, 100 - 30 = 70

Pls help me with this i don’t really get it pls

Answers

Answer:

a y intercept (0,8)

Flat rate 8

b  slope is 4

c  3.5 hours

Step-by-step explanation:

The y intercept is where it crosses the y axis, which is (0,8)

The flat rate is the y intercept which is 8

The rate per hour is the slope

m = ( y2-y1)/(x2 -x1)

Using 2 point ( 1,12) and ( 2,16)

    = (16 -12)/(2-1)

     = 4/1

    = 4

The equation is

y = mx+b

y = 4x+8

Let y = 22

22 = 4x+8

Subtract 8 from each side

22-8 = 4x+8-8

14 = 4x

Divide by 4

14/4 = 4x/4

3.5 = x

3.5 hours

Problem and answer:

a) what is the y intercept?

(0,8) is the y intercept because it crosses the y axis.

What is the flat rate?

We can see that the flat rate is 8, which is the y intercept.

b) Find the slope and write an equation for the line.

[tex] \quad\quad\quad\boxed{ \tt{m = \frac{rise}{run} = \frac{ y \tiny{2} \: \small{ - } \: y \tiny{1}}{x \tiny{2} \: \small{ - } \: x \tiny{1}} }}[/tex]

We will use the first 2 points in the graph which is (1,12) and (2,16).

[tex]\quad\quad\quad\boxed{ \tt{m = \frac{16 - 12}{2 - 1} }}[/tex]

[tex]\quad\quad\quad\boxed{ \tt{m = \frac{4}{1} }}[/tex]

[tex] \quad\quad\quad\boxed{ \color{green}\tt{m = 4}}[/tex]

The equation is:

[tex] \quad \quad \quad \boxed{ \tt{y = mx + b}}[/tex]

c) Jack has $22 for how many hours can he rent an e-bike?

Let's use the equation as formula:

[tex] \quad \quad \quad \boxed{ \tt{y = mx + b}}[/tex]

Let's y = 22, mx = 4 and b = 8.

[tex] \quad \quad \quad \boxed{ \tt{22 =4x + 8}}[/tex]

Let's subtract 8 from each side.

[tex] \quad \quad \quad \boxed{ \tt{22 - 8 = 4x + 8 - 8}}[/tex]

[tex] \quad \quad \quad \boxed{ \tt{14 = 4x \: \:\cancel{ \color{red}+ 8 - 8}}}[/tex]

Let's devide it by 4 to cancel out the number 4.

[tex]\quad \quad \quad \boxed{ \tt{ \frac{14 = \cancel4x}{ \cancel{4} }}}[/tex]

[tex]\quad \quad \quad \boxed{ \color{green} \tt{3.5 = x}}[/tex]

Hence the answer for this is 3.5 hours or 3h50m. It is approximately 4 hours.

_________

#LetsStudy

#HikariSquad

Your gross pay is $1,878.96, net income is $1,196.34, and fixed expenses are $1,338.54. What is your discretionary income?

Answers

Answer:

$0

Step-by-step explanation:

The ratio of coloured papers to wight papers is 3:8.If there are 48 wight papers, how many coloured papers are there?

Answers

Answer:  The total number of colored papers is 18.

Step-by-step explanation:

Given: The ratio of coloured papers to wight papers is 3:8.

Let total number of colored papers = 3x

and total number of wight papers = 8x

Since, there are 48 wight papers , then

[tex]8x=48[/tex]

[tex]\Rightarrow\ x=6[/tex]

Now , number of colored papers = 3(6)=18

Hence, the total number of colored papers is 18.

Any answers for this question

Answers

Step-by-step explanation:

hear is your both answer

3. Ruby and Sapphire love strawberries. Ruby starts out with 10 strawberries and finds 3 more
every minute. Sapphire starts out with 30 strawberries and eats 2 every minute. How long will it
take for them to have the same number of strawberries?

PLEASE HELP ME. AND SHOW YOUR WORK. PLEASE IM DYING.

Answers

Answer:

4 minutes

Step-by-step explanation:

Let the time taken for them to have the same number of strawberries be x minutes.

Initially

Ruby: 10 strawberries

Sapphire: 30 strawberries

After x minutes

Ruby: (10 +3x) strawberries

Sapphire: (30 -2x) strawberries

Since we let x minutes be the amount of time that has passed when they have the same amount of strawberries,

10 +3x= 30 -2x

Bring all x terms to one side, constant to the other:

3x +2x= 30 -10

Simplify:

5x= 20

Divide both sides by 5:

x= 20 ÷5

x= 4

∴ It will take 4 minutes.

Jomar decides that he needs to study for an average of 1 hour and 30 minutes
a day in order to prepare for his French test this Friday. He studies for 2 hours
each day on Saturday through Monday, but is too busy to study on Tuesday
and Wednesday. How long must Jomar study on Thursday to be prepared for
his test?

Answers

Answer:

Jomar needs to study for 3 hours on Thursday to be prepared for his test.

Step-by-step explanation:

If we want to make the average a certain amount of time over a certain number of days, we can first figure out the number of days and total amount needed. Here, we can see that the average is 1 hour and 30 minutes, and there are 6 days (Saturday-Thursday). Therefore, as

average = total / length, we can multiply both sides by length to get

average * length = total

Plugging 1.5 hours in for average and 6 days for length, we get

1.5 * 6 = 9 hours as the total amount needed to get an average of 1.5 hours a day

Our total so far is 2 hours for Saturday, 2 hours for Sunday, and 2 hours for Monday. This adds up to 6 hours, and we need 9. The difference between 9 and 6 is 3, meaning that Jomar needs to study for 3 hours on Thursday to be prepared for his test.

As runners in a marathon go by, volunteers hand them small cone shaped cups of water. The cups have the dimensions shown. Abigail sloshes \dfrac23 3 2 ​ start fraction, 2, divided by, 3, end fraction of the water out of her cup before she gets a chance to drink any. What is the volume of water remaining in Abigail's cup?

Answers

Answer:

Volume of water remaining in Abigail's cup = 25.12 cm³

Step-by-step explanation:

As runners in a marathon go by, volunteers hand them small cone shaped cups of water. The cups have the dimensions radius 3 cm and height 8 cm. Abigail sloshes 2/3 of the water out of her cup before she gets a chance to drink any. What is the volume of water remaining in Abigail's cup? Use 3.14 for Pi

Volume of a cone cup = πr²h/3

Radius, r = 3 cm

Height, h = 8 cm

Pi, π = 3.14

Volume of a cone cup = πr²h/3

= (3.14 * 3² * 8) / 3

= (3.14 * 9 * 8) / 3

= 226.08 / 3

= 75.36 cm³

Abigail sloshes 2/3 of the water out of her cup.

What is the volume of water remaining in Abigail's cup

Volume of water Abigail slosh = 2/3 of 75.36 cm³

= 2/3 * 75.36

= 150.72 / 3

= 50.24 cm³

Volume of water remaining in Abigail's cup = Volume of water in the cup - Volume of water Abigail slosh

= 75.36 cm³ - 50.24 cm³

= 25.12 cm³

Volume of water remaining in Abigail's cup = 25.12 cm³

Answer:

25.12

Step-by-step explanation:

I checked in khan

24 : 56 is equivalent to 3 : __

Answers

Answer:

3 : 7

Step-by-step explanation:

24/56 = 3 / 7

Answer:

3:7 helpful answer to your question have a nice evening

What is the first step in solving the equation 4.2y-5.2=18.5

Answers

Add 5.2 then divide

Luis wants to change companies for his phone service. Company SaveMore charges $16 for the initial service plus $0.20 for every 1 text of use.Write an equation that represents the cost of the service, with the cost of the constant number of text, t added After how many texts will the two companies be the same charge for the service?

Answers

Answer:

[tex]y = 16 + 0.2t[/tex] --- the equation of SaveMore company

Step-by-step explanation:

Given

SaveMore

[tex]Initial = 16[/tex]

[tex]Additional\ Rate = 0.20[/tex]

Required

Determine the equation

Let

[tex]y \to cost[/tex]

[tex]t \to texts[/tex]

So, we have:

[tex]y = Initial + Additional\ Rate * t[/tex]

[tex]y = 16 + 0.20 * t[/tex]

[tex]y = 16 + 0.2t[/tex]

The equation for the second company is not given. So, the (b) part cannot be correctly answered.

A general solution to the (b) part is:

Assume the equation is:

[tex]y = 10 + 0.4t[/tex]

Next, we equate both

i.e.

[tex]y = y[/tex]

This gives:

[tex]16 + 0.2t = 10 + 0.4t[/tex]

Collect like terms

[tex]0.4t - 0.2t = 16 - 10[/tex]

[tex]0.2t = 6[/tex]

Divide by 0.2

[tex]t = 30[/tex]

Hence, the charges will be the same after 30 texts

Can someone help me with this question please

Answers

Answer:

A. Conditional Statement

Step-by-step explanation:

In a conditional statement, A would be the premise, and B would be the conclusion.

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Have a great summer :)

In a class, 60% of the students are girls. There are 18 girls in the class.

a. How many students are in the class?

b.How many boys are in the class?

Answers

Answer:

a. Total of 45 students.

b. 18 Boys.

Answer:

There are 45 students and 18 boys in the class

This was wrong.. Why?

Answers

Answer:

I think it's 9/22

Step-by-step explanation:

Probability of A given B = (probability of A and B)/probability of B

[tex]\frac{(14/22)(9/22)}{14/22} \\=\frac{9}{22}[/tex]

P(B) = P(1 checked bag) = 14/22

P(A) = P(silver status) = 9/22

P(A ∩ B) = (14/22)(9/22)

*Brainliest* What is the value of X?

or how do I solve this equation?

Answers

Answer:

x = 6

Step-by-step explanation:

The sum of the angles of a quadrilateral is 360

69+111+12x-3 +111 = 360

Combine like terms

12x+288=360

Subtract 288 from each side

12x+288-288 = 360-288

12x = 72

Divide by 12

12x/12 = 72/12

x = 6

Answer:

x = 6

Step-by-step explanation:

All angles together equal 360

Us this to set up your formula

360 = 111 + 111 + 69 + 12x-3

360 = 288 + 12 x

360 - 288 = 12x

72 = 12x

72/12 = x

6 = x

You could also use the fact that angle t and r are equal to set your formula up as

69 = 12x-3

69+3=12x

72=12x

72/12=x

6=x

The evolutionary pathways of ten different species are represented in the diagram below. SA Which two species are the most closely related?

E and I
G and J
A and F
O and D​

Answers

Answer:

I don't see an O in the picture at all.

but here's how you solve it: just count the nodes between the species, the fewer the closer

I would go for E and I, only one step between them

In AHIJ, the measure of ZJ=90°, the measure of ZH=57°, and IJ = 22 feet. Find the
length of HI to the nearest tenth of a foot.
X
22
57°
H

Answers

Answer:

26.2

Step-by-step explanation:

From the given diagram;

Opposite side IJ = 22

Hypotenuse HI = x

Angle of elevation = 57degrees

Using the SOH CAH TOA;

sin theta = opposite/hypotenuse

sin theta = IJ/HI

sin57 = 22/x

x = 22/sin57

x = 22/0.8387

x = 26.2

Hence the legnth of HI is 26.2

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