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!!!!

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

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

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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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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Answer:

01110100 01101000 01100101 00100000 01101101 01100001 01110100 01110010 01101001 01111000

Step-by-step explanation:

Answer:

Step-by-step explanation:

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

The right triangle has missing angles of:

The missing angles of the bigger triangle:

Answer:

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

Step-by-step explanation:

Hope this helps :)

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:

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]

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

Answer:

x=80

Step-by-step explanation:

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

x=80

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 :)

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

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).

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

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]

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

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]

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

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)

Answer:

4(7z - 8)

Step-by-step explanation:

28 and 32 are both divisible by 4.

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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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

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:

we have sin²x + cos²x = 1

ok done. Thank to me :>

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

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

Answer:

1/8

Step-by-step explanation:

50/100 * 25/100

1/2 * 1/4 = 1/8

Given :

Evaluate the equation.

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

Step-by-step explanation:

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 :)