HELP I HAVE A TEST TMR MORNING!!!!!!
A boat tied up at a dock bobs up and down with passing waves. The vertical distance between its high point and its low point is 1.8m and the cycle is repeated every 4 s.
Here is the equation that models this: [tex]f(x)=0.9sin(\frac{\pi }{2} x)[/tex]
^The y-coordinates are in m and the x coordinates is the time in seconds

b) Use the model to determine when, during each cycle, the boat is 0.5m above the mean positition.

BRAINLIEST!!!!

Answers

Answer 1

The time the boat is 0.5 m above the mean position during each cycle is (4n + 0.375) s

Since y = f(x) = 0.9sin(πx/2)

We want to determine the time, x at which the boat is 0.5 m above its mean position. This is the value of y at y = 0.5 m

So, y = f(x) = 0.9sin(πx/2)

0.5 = 0.9sin(πx/2)

Dividing through by 0.9, we have

0.5/0.9 = sin(πx/2)

5/9 = sin(πx/2)

Taking inverse sine of both sides, we have

sin⁻¹(5/9) = πx/2

sin⁻¹(0.5556) = πx/2

0.589 rad = πx/2

x = 2 × 0.589/π

x = 1.178/π

x  = 0.375 s

Since the boat repeats its cycle every 4 seconds, the time the boat is 0.5 m above the mean position after n cycles is t = (4n + 0.375) swhere n is a positive integer. That is n = 0, 1, 2, 3...

So, the time the boat is 0.5 m above the mean position during each cycle is (4n + 0.375) s

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Related Questions

What is the measure of

Answers

Answer:

45 degrees

Step-by-step explanation:

90+45+45=180 degrees

:))

Answer:

[tex]m\angle A=45\textdegree[/tex]

Step-by-step explanation:

All triangles have a sum of 180°. The problem shows us that two of the angles are 90° and 45°. Therefore, the last angle is 45°.

[tex]m\angle A+45+90=180\\m\angle A+135=180\\m\angle A=45[/tex]

52x+3 =
3x+2+4x-3-5x-1=
x-5x+4=

Answers

Answer:

x= -3/52

x= 2

x= -1

Step-by-step explanation:

number 1

52x+3=0

52x=-3

x=-3/52

number 2

2x+2+4x-3-5x-1=0

x-2=0

x=2

number 3

x-5x+4=0

4x+4=0

4x=-4

x=-1

Alg 2-7_2 BR Trigonometry
To approach the runway, a pilot of a small plane must begin a 5° descent starting from a height of 1732 ff above the ground. To the nearest tenth of a mile, how many miles from the runway is the airplane at the start of this approach( how far does the airplane have to fly)?

0 3.7 mi
0 3.8 mi
0 0.3 mi
0 19,872.5 mi

Answers

Answer:  Choice B)  3.8 miles

==============================================================

Explanation:

Check out the diagram below.

Those pair of 5 degree angles shown are congruent alternate interior angles. We'll use the sine rule to find the hypotenuse x (which is some measurement in feet).

sin(angle) = opposite/hypotenuse

sin(5) = 1732/x

x*sin(5) = 1732

x = 1732/sin(5)

x = 19,872.4713415001 approximately

x = 19,872.5

It's tempting to say that choice D is the final answer. However, the result we just got is in feet, not in miles. To convert from feet to miles, we divide by 5280.

19,872.5 ft = (19,872.5)/5280 = 3.7637 miles

That then rounds to the final answer of 3.8 miles (choice B).

------------

Alternatively, you can convert 1732 ft to miles to get roughly 1732/5280 = 0.328 miles. Then you should solve this equation for x

sin(5) = 0.328/x

it should lead you to x = 3.8 miles

A HORIZONTAL line passes through point (-3, -1). Find the equation of this line. A) x = 1 B) x = 3 C) y = -1 D) y = 1

Answers

Answer: C) y = -1

Step-by-step explanation:

A horizontal line is represented by y = a constant.  As such, the line must be    y = -1, because the given point is (-3, -1), which has a y-coordinate of -1.

Answer:

D y=-1

Step-by-step explanation:

In horizontal lines, the equation is y=b. B is the location of the y-axis where the line crosses through it. Hope this helps :)

Which point is in the graphed solution set of this system of inequalities?
4x-3y<12
6x+3y>5

A. (2,2) B. (0,-6) C. (2,-1) D. (-2,0)

Answers

Answer:

01110100 01101000 01100101 00100000 01101101 01100001 01110100 01110010 01101001 01111000

Step-by-step explanation:

what is the value of x?

Answers

Answer:

x=80

Step-by-step explanation:

70 + 30+x =180 (sum of angles in a triangle =180)

x=80

If one-third of a number is 24 less than the thrice of the number, find the number.​

Answers

Answer:

9

Step-by-step explanation:

Let the number be 'x'

One third of a number : (1/3) *x

Thrice the number = 3x

[tex]3x -24=\dfrac{1}{3}x\\\\3x - \dfrac{1}{3}x = 24\\\\\\[/tex]

Multiply the entire equation by 3

9x - x =  72

8x = 72

Divide both sides by 8

x = 72/8

x = 9

PLZ HELP ASAP I GIVE BRAINLIEST AND POINTS PLZ DONT POST LINKS
LOOK AT THE PICTURE

Answers

Answer:

look at the picture..................

[tex]\\ \rm\leadsto (aa^2a^3)/(a\div a^2)^{-1}[/tex]

[tex]\\ \rm\leadsto \dfrac{a^{1+2+3}}{(a^{-1})^{-1}}[/tex]

[tex]\\ \rm\leadsto \dfrac{a^6}{a}[/tex]

[tex]\\ \rm\leadsto a^5[/tex]

What are the values of m and n

Answers

Answer:

m = 20°, n = 45°

Step-by-step explanation:

Both of the triangles are isosceles as marked on the diagram.

The right triangle has missing angles of:

n = 90°/2 = 45°

The missing angles of the bigger triangle:

m + n = 1/2(180° - 50°)m + 45° = 65°m = 20°

Please explain step-by-step! Thanks!


Random answers will be reported

Answers

Step-by-step explanation:

what is your questions?????
What do you want us to solve

50% of 25% is the number. What is the number?

Answers

Answer:

1/8

Step-by-step explanation:

50/100 * 25/100

1/2 * 1/4 = 1/8

Which is NOT a function?

A. y = x + 3^2
B. x + y = 3^2
C. x + 3 = y^2
D. y = x^2 - 3

Answers

Answer:

All are functions

Step-by-step explanation:

A.  y = x + 9  A graph of a line. There are no x-values that are the same on the graph. The graph passes the vertical line test.

B.    x + y = 9

       y = -x + 9   A graph of a line.  There are no x values that are the same number on the graph.  The graph passes the vertical line test

C.  x + 3 = y²

   [tex]\sqrt{x + 3} = y[/tex]  The graph passes the vertical line test. On the graph, there are no x-values that are the same number.

D.   y = x² - 3   The graph is a parabola. The graph passes the vertical line test (there are no x- values are the same number on the graph).

Find: (4x2y3 + 2xy2 – 2y) – (–7x2y3 + 6xy2 – 2y)

Place the correct coefficients in the difference.

x2y3 +
xy2 +
y

Answers

Answer:

final answer: 58xy

Step-by-step explanation:

24xy + 4xy - 2y + 42xy - 12xy + 2y

(24xy + 4xy + 42xy - 2xy) + ( - 2y + 2y)

(24 + 4 + 42 - 12)x xy + ( - 2 + 2)xy

58xy + ( - 2 + 2)xy

58xy + 0y

58xy

Answer:

1st one is 11

2nd one is -4

3rd one is 0

Step-by-step explanation:

no need

you can trust me :)

Biểu thức sin²x + cos²x có giá trị bằng ?

Answers

we have sin²x + cos²x = 1

ok done. Thank to me :>

any smart people that know math know whats going on

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.

What other information do you need in order to prove the triangles congruent using the SAS Postulate?

Answers

Answer:

AC is perpendicular to BD.

Further explanation

We observe that both the ABC triangle and the ADC triangle have the same AC side length. Therefore we know that  is reflexive.

The length of the base of the triangle is the same, i.e., .

In order to prove the triangles congruent using the SAS congruence postulate, we need the other information, namely . Thus we get ∠ACB = ∠ACD = 90°.

Conclusions for the SAS Congruent Postulate from this problem:

∠ACB = ∠ACD

- - - - - - - - - -

The following is not other or additional information along with the reasons.

∠CBA = ∠CDA no, because that is AAS with ∠ACB = ∠ACD and  

∠BAC = ∠DAC no, because that is ASA with  and ∠ACB = ∠ACD.

no, because already marked.

- - - - - - - - - -

Notes

The SAS (Side-Angle-Side) postulate for the congruent triangles: two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle; the included angle properly represents the angle formed by two sides.

The ASA (Angle-Side-Angle) postulate for the congruent triangles: two angles and the included side of one triangle are congruent to two angles and the included side of another triangle; the included side properly represents the side between the vertices of the two angles.  

The SSS (Side-Side-Side) postulate for the congruent triangles: all three sides in one triangle are congruent to the corresponding sides within the other.

The AAS (Angle-Angle-Side) postulate for the congruent triangles: two pairs of corresponding angles and a pair of opposite sides are equal in both triangles.  

Learn more

Which shows two triangles that are congruent by ASA?  brainly.com/question/8876876  

Step-by-step explanation:

Given: 3x < -6.



Choose the solution set.

{x | x > -2}
{x | x < -2}
{x | x > 2}
{x | x < 2}

Answers

Answer:

First divide 3 on both sides to get x by itself, now you have x < -2.

Step-by-step explanation:

Hope this helps :)

Given loga (m) = 10 and loga (n) = 25 , find loga (m * n ^ 2)

Answers

The result of the log function [tex]log_a (m * n ^ 2)[/tex]  is 60

According to the law of logarithm if [tex]log_ab=y[/tex] then [tex]b=a^y[/tex]

Given the following expressions

[tex]log_am=10\\log_an=25[/tex]

This can be expressed as

[tex]m =a^{10} \ and \ n = a^{25}[/tex]

Substitute the value of m and n into the expression [tex]log_a (m * n ^ 2)[/tex] to have:

[tex]log_a (m * n ^ 2) = log_a(a^{10}\times a^{50})\\=log_aa^{60}\\=60log_aa\\=60(1) \\= 60[/tex]

This shows that the result of the log function [tex]log_a (m * n ^ 2)[/tex]  is 60

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Factor 28z–32. what is the factor??????

Answers

Answer:

4(7z - 8)

Step-by-step explanation:

28 and 32 are both divisible by 4.

The answer is 4(7z - 8)

please help

Jay buys a certain brand of cereal that costs $15 per box. Luke changes to a super-saving brand of the same size. The equation shows the price, y, as a function of the number of boxes, x, for the new brand, y = 10x Part A: How many more dollars is the price of a box of Jay's original brand of cereal than the price of a box of the super-saving brand? Show your work. (5 points) Part B: How much money does Jay save each month with the change in cereal brand if he buys 8 cereal boxes each month? Show your work. (5 points)​

Answers

A.

Jay's original brand is $5 more than the price of a box of the super-saving brand.

Since Jay's original brand costs $15 per box and the price of Luke's super-saving brand is y = 10x where x = number of boxes. For one box, x = 1.

So, y = 10x

y = 10 × 1

y = $10

So, Jay's brand costs $15 per box and Luke brand cost $10 per box.

So, the difference in price is per box is $15 - 10$ = $5

So, Jay's original brand is $5 more than the price of a box of the super-saving brand.

B.

Jay saves $40 per month with the change in cereal brand if he buys 8 cereal boxes each month

Since the difference in price for each box bought is $5. Jay saves $5 for every super-saving cereal brand he buys.

So, if he buys 8 cereal boxes per month, he saves $5 per box × 8 boxes per month = $40 per month.

So, Jay saves $40 per month with the change in cereal brand if he buys 8 cereal boxes each month

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Help me I don’t understand please explain the answer to me

Answers

Answer:

a

Step-by-step explanation:

r and t are same- side exterior angles and sum to 180 , so

t + r = 180 , that is

t + 91 = 180 ( subtract 91 from both sides )

t = 89

t and u are vertically opposite angles and are congruent , so

u = t = 91

Then

t + u = 89 + 89 = 178 → a

1
message
Two friends went bowling. One friend scored 130 points and the other friend scored 83 points. How does the value represented by the 3 in 130 compare to the value represented by the 3 in 83?

It is 3 times greater

It is 10 times greater

It is 47 times greater

It is 50 times greater

Answers

Answer:

10x greater

Step-by-step explanation:

Two friends let’s say their names are

Molly                         Polly

130 points                  83 points

Molly‘s 3 in her 130 is is the tens place  

here a chart:     ones    Tens.        Hundreds.     thousands.  

                         1265      1265.         1265.              1265

now let’s go back to Molly and Polly. The 3 in 130 is one place above the 3 in 83 and this ,my friend, technically means it is only 10x greater

hope this helped :3

:3 byeeeeeeeeee

A line passes through the points (4, 6) and (8, 7). What is its equation in point-slope form?​

Answers

Answer:

y - 6 = 1/4(x - 4).

Step-by-step explanation:

The slope m = (7-6)/(8-4) = 1/4

y - y1 = m(x - x1)

Using the point (4, 6)

y - 6 = 1/4(x - 4)  (answer)

The equation of line passes through the points (4, 6) and (8, 7) will be;

⇒ y = 1/4x + 5

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

Two points on the line are (4, 6) and (8, 7).

Now,

Since, The equation of line passes through the points (4, 6) and (8, 7) .

So, We need to find the slope of the line.

Hence, Slope of the line is,

m = (y₂ - y₁) / (x₂ - x₁)

m = (7 - 6) / (8 - 4)

m = 1 / 4

m = 1/4

Thus, The equation of line with slope 1/4 is,

⇒ y - 6 = 1/4 (x - 4)

⇒ 4 (y - 6) = x - 4

⇒ 4y - 24 = x - 4

⇒ 4y = x - 4 + 24

⇒ 4y = x + 20

⇒ y = 1/4x + 5

Therefore, The equation of line passes through the points (4, 6) and

(8, 7) will be;

⇒ y = 1/4x + 5

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#SPJ2

What time does the clock show?
12
11
1
2
: 10
9
3
8
4
7
5
6
.

Answers

Answer:

it would have to be 5:30 if not then 5:00 but i really think it is 5:30

Step-by-step explanation:

it has the small hand behind the 6 and the big hand at 6 so the would be 30 minutes so for that reason i say 5:30

can anyone help me out with this?

Answers

Given :

Evaluate the equation.

2x – 4(x – 2y) + 6y = ?

When x = 5 and y = 2 then,

2x – 4(x – 2y) + 6y

= 2(5) – 4[(5) – 2(2)] + 6(2)

= 10 – 4(5 – 4) + 12

= 10 – 4*1 + 12

= 10 – 4 + 12

= 22 – 4

= 18

hope this helps ^^
.
.
.

can someone help me solve this question? -6 - (-10) + (-2)

Answers

Answer:

2

Step-by-step explanation:

note - (- ) = + and + (- ) = -

- 6 - (- 10) + (- 2)

= - 6 + 10 - 2

= 4 - 2

= 2

Answer:

2

Explanation:

- 6 + 10+ (- 2)

= 4+(-2)

=2

Please help me!!! It would really help

Answers

Answer:

  D'(25, 0)

Step-by-step explanation:

Dilation by a factor of 5 about the origin multiplies each individual coordinate by 5.

  (x, y) ⇒ (5x, 5y)

  D(5, 0) ⇒ D'(5·5, 5·0) = D'(25, 0)

Phil is riding his bike. He rides 58 miles in 4 hours, 72.5 miles in 5 hours, and 87 miles in 6 hours. Find the
constant of proportionality and write an equation to describe the situation. Let x represent the number of
hours.
The constant of proportionality is k =
The equation that describes the relationship is y =

Answers

Answer:

58 divided by 4 = 14. 5 mph

72.5 Divided by 4 = 14.5 mph

87 divided by 6 = 14.5 mph

k = 14.5 mph

Y= Kx = 14.5X

answer is 14.5 and 14.5X

Step-by-step explanation:

Please help me with this I don't get it

Answers

Basically what you do is plot some points or plot the points that are given then you look at the points in quadrant 2 and describe what is going on like if it is linear or not.

A media organization is interested in reporting election results in a congressional election prior to the final tally of votes which will not occur until later in the evening. The organization randomly selects several polling places across the district asking voters whom they voted for. The type of poll being used in this scenario is known as an exit poll Answer A: an exit poll A a benchmark poll Answer B: a benchmark poll B an opinion poll Answer C: an opinion poll C a tracking poll

Answers

The name which is given to this type of poll which is being described in this scenario is known as:

A. An exit poll

According to the given question, we are asked to state the name which is given to this type of poll which is being described in this scenario where a media organisation asks people who they voted for.

As a result of this, we can see that the type of poll which was used in this described scenario above is known as an exit poll because it is used to get the poll of the voters just after they have left the polling stations.

Therefore, the correct answer is option A

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(2^4x+4)÷(2^x+1)
60 POINTS
BRANLIEST IF RIGHT

Answers

Answer:

[tex]\frac{2^4^x + 4}{2^x + 1}[/tex]

The file includes the input of your equation, comment if the equation you input is a mistake.

Answer:

2 ^ 3(x+1)

Step-by-step explanation:

Assuming  2^(4x+4) / 2 ^(x+1)

when bases are equal and exponents are in division it becomes subtraction

=> 2 ^ (4x + 4 - (x + 1) )

=> 2 ^ (4x + 4 -x - 1)

=> 2 ^ (3x + 3)

=> 2 ^ 3(x+1)

=> [tex]2^{3(x+1)}[/tex]

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Triangle JKL has the following measures:Side JK = 4 cmSide KL = 7 cmAngle J = 38Triangle PQR has the following measures:Side QR = 7 cmSide PQ = 4 cmAngle Q = 38Which statement is accurate about triangles JKL and PQR?A. They are not congruentB. They are based on AAS criteriaC. They are based on SSS criteriaD. They are based on SAS criteria Fill in the blanks so the equation has NO SOLUTION.4(x -3) + 7 = _____x + _____ What was the name of the white supremacist group that emerged during Reconstruction and targeted African American A line has a slope of 9 and a y-intercept of 8. What is its equation in slope-intercept form?Write your answer using integers, proper fractions, and improper fractions in simplest form. Based on this passage, which saying expresses a main theme of the myth?A. Great oaks from little acorns grow.B. Don't count your chickens before they hatch.C. A bird in the hand is worth two in the bush.D. If you don't succeed, try, try, again. Please help me ASAP please please If the velocity is 50 and the time is 5 seconds what is the acceleration? 2. In a race, if a runner starts and stops at the same position, what is theirdisplacement? * what kind of car did oprah winfrey give away to all 276 members of her audience in 2004? What attributes do you usually associated from a doctor? Conversely, what types of behaviors do you NOT expect? Explain. Help help help help help help help If the probability that the Islanders will beat the Rangers in a game is 5/6, what is the probability that the Islanders will win at most two out of five games in a series against the Rangers? Round your answer to the nearest thousandth. Question 125 ptsWhat is the total cost to run the cookie shop when rent is $50.00, insurance is $50.00 and the costto make the cookies is $100.00?O $50.00O $100.00O $200.00O $4.00 Individuals with a personality disorder tend to believe their behavior is completely normal.Please select the best answer from the choices providedOT Save and Exit Which statement best describes the relationship between credit and debtwhen you use a credit card?A. Your debt decreases as you use your credit card more.B. Your credit decreases as you lower your debt.C. Your credit stays the same as you lower your debt.D. Your debt increases as you use your credit card more. Scientists find cell with a genetic mutation in the cyclin dependant kinase gene. The mutation leads to a misshapen CDK molecule that will not bind to cyclin molecules. How would this impact the cell cycle of that cell answer please urgently.... Which best describes the first law of thermodynamics as compared to the second law of thermodynamics? The first law describes how thermal energy is conserved but not the direction it moves. The first law describes the direction thermal energy moves but not how it is conserved. The first law describes how thermal energy can be created but not how it can be destroyed. The first law describes how thermal energy can be destroyed but not how it can be created. Theme and variations and rondo are two forms that focus on one main theme. How do they differ in their approaches to developing musical material? 9. Who were elected to represent the interests of plebeians in the RomanRepublic?A. TribuneB. SenatorC. ConsulD. Pontifex MaximusIts not C I took the test and got it wrong on penn