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An equation for water level in june for pensacola as a function of time (t) is f(t) = 5 cos pi/6 t + 7.

Which equation of cos show period amplitude ?

The equation given below show aplitude and period

[tex]y = A cos bx + c[/tex]

where A = amplitude,

b = 2 pi/Period,

Period = 12 hrs,

c = midline,

x = t and y = f(t)

We have to find the amplitude

[tex]A = 1/2 (Xmax - Xmin)[/tex]

[tex]12 - 2 / 2 = 10/2 = 5[/tex]

[tex]b = 2 pi / 12 = pi/6[/tex]

[tex]c = 1/2 (Xmax + Xmin)[/tex]

[tex]12+2/2 = 7[/tex]

Therefore, the an equation for water level in june for pensacola as a function of time (t)

[tex]f(t) = 5 cos pi/6 t + 7[/tex]

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The Neptune's time period of orbit is 164.3 earth years.

We have given that the mass of the sun is 2 × 1030 kg.

The distance between neptune and the sun is 30 au

[tex]T^2 = 4\pi ^2a^3/GM[/tex]

Where T is in earth years, a is astronomical units and

M = solar masses.

4π²/GM = 1,

Therefore we get

[tex]T^2 = a^3[/tex]

[tex]T = \sqrt(a^3)[/tex]

[tex]T = \sqrt(30^3)[/tex]

[tex]T = 164.3[/tex]

Therefore, the Neptune's time period of orbit is 164.3 earth years.

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Answer:

b. 164 earth years

Step-by-step explanation:

just took the quiz 2022

Answer:

y=1/-2x+2.5

Step-by-step explanation:

Y=Mx+c

Mx(slope)=y2-y1/x2-x1= 6-2/-5-3 =4/-8= 1/-2

C(y-intercept)= replace one of of the points here to find C

2=1/-2(3)+c, c= 2.5

Final answer > y=1/-2x+2.5

Answer:

180 - 90 - 60

Step-by-step explanation:

all internal angles of a triangle add up to 180. this means A must be equal to 180 - 90 - 60 = 30

Answer:

30

Step-by-step explanation:

A triangle always = 180 degrees :)

So first we can add :D

60 + 90 + a = 180

150 + a = 180

Now we subtract :)

180 - 150 = 30

The answer is 30!

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Answer:

54 I think

Step-by-step explanation:

you multiply the width times the length and that’s the area

hope this helps!

Answer:

90:30 is the answer

only if we use over 2

180°-32°=2x (angles in a triangle always sum up to 180)

2x= 148°

x= 74° (they are (at least) 2 angles that are even in an isosceles triangle)

Answer:

x=2

Step-by-step explanation:

You can simplify the equation with all the x's on one side and the numerical values on the other. After solving, the answer would be x=2

Answer:

x=2

Step-by-step explanation:

Distribute the 2.5 and 4 out

15x - 10 = 10 + 6 +2x

Add the constant variables together

15x - 10 = 16 +2x

Move the x on one side and the constant on the other

13x = 26

Divide both sides to find x

x=2

Answer: domain: [-6,6] range: [-4,3]

Step-by-step explanation: domain is the smallest to biggest x value range is the smallest to biggest y value

Answer:

g(x) = x^2 + 6

Step-by-step explanation:

We are trying to find what is g(x) from the graph. f(x) = x^2 translated to g(x).

g(x) = (x - h)^2 +k

It appears the graph is just translated up by k = 6 and no transition of left/right h = 0.

g(x) = (x-0)^2 + 6

g(x) = x^2 + 6

Answer:

Step-by-step explanation:

Answer: $9.55.

Step-by-step explanation: So far, Sarah's meal is $8.99 and her tax rate is 6.2%.  So 6.2% of $8.99 is 0.55738.  We have to add 0.55738 with 8.99 to find the total cost of her meal:

8.99 + 0.55738 = 9.54738, or $9.55.

Therefore, Sarah's bill has a total of $9.55 with the tax.

Hope this helps! :)

Answer:

1/6

Step-by-step explanation:

Hope it helps you in your learning process

Answer:

the second one

Step-by-step explanation:

1/6

brainliest pls

Answer:

Step-by-step explanation:

Let the length be x and width be y.

We have:

Set equation and solve

The length is:

The perimeter is:

Correct choice is D

Let they be l and b

And

So

From both equations

And.

b=20-8=12ft

Option D

The time it take for the pendulum to swing from its rightmost position to its leftmost position and back again is 1.25 seconds.

Pendulum is the body which is pivoted a point and perform back and forth motion around that point by swinging due to the influence of gravity.

The time period of pendulum is time taken by it to complete one cycle of swing left to right and right to left.

The equation models the horizontal distance of the pendulum of a grandfather clock from the center as it swings from right to left and left to right as a function of time, t, is given as,

[tex]d = 11 \cos\left( \dfrac{8\pi}{5}t\right)[/tex]

At the maximum position, the time period is zero. Thus,

[tex]\dfrac{8\pi}{5}t=0\\t=0[/tex]

At the minimum position, the period equal to the π. Thus,

[tex]\dfrac{8\pi}{5}t=\pi\\t=\dfrac{5}{8}\\t=0.625[/tex]

This time is for one side of motion. The time for swing from its rightmost position to its leftmost position and back again is,

[tex]t=0.625+0.625\\t=1.25\rm\; s[/tex]

Thus, the time it take for the pendulum to swing from its rightmost position to its leftmost position and back again is 1.25 seconds.

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Answer:

C:1.25

Step-by-step explanation:

The line of best fit of the traffic study is a line through a scatterplot of data points which shows the relationship between the points.

Your information is incomplete as the table isn't given. Therefore, an overview will be given.

The least square methods is used by statisticians to arrive at the geometric equation for the line. A straight line will simply result from a simple regression of two or more independent variables.

A regression that has to do with multiple related variables lead to a curved line. The line of best fit is an important output of regression analysis.

A regression that has two independent variables will have a formula with:

y = c + b1x1 + b2x2

where,

c = constant

b1 = first regression coefficient

x1 = first independent variable

b2 = second regression coefficient

x2 = second independent variable.

In conclusion, the line of best fit expresses the relationship in a scatterplot of the data points.

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Answer:

Step-by-step explanation:

100 cm = 1 m

25 cm =  25 ÷ 100 = 0.25 m

1000mm = 1m

25 mm  = 25 ÷ 1000 = 0.025

0.250   +

0.025

0.275

25 cm 25 mm = 0.275 m

x = 2y+8

Step-by-step explanation:

3x-y = 14

3(2y+8)-y = 14

6y+24-y = 14

5y = 14-24

y = -10/5

y = -2

now,

x = 2y +8

x = 2(-2)+8

x = 4

Therefore, the value of x is 4 and y is -2.

Answer:

C =66

Step-by-step explanation:

The area equation for the given rhombus is:

A = (x^2 + 2x - 8) m^2

So the correct option is the second one.

For a rhombus of diagonals d₁ and d₂, the area is given by:

A = (d₁*d₂)/2

In this case, we have:

d₁ = (2x + 8)m

d₂ = (x - 2)m

Then the area equation is:

A = (1/2)*(2x + 8)*(x - 2) m^2

A = (x + 4)*(x - 2) m^2

A = (x^2 - 2x + 4x - 8) m^2

A = (x^2 + 2x - 8) m^2

So the correct option is the second one.

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Using the given function, it is found that the snowball traveled 4 feet when the height is 20 feet.

The height when x feet are traveled is given by:

h(x) = -0.5x² + 6x + 4.

When the height is of 20 meters, we have that h(x) = 20, hence:

20 = -0.5x² + 6x + 4.

0.5x² - 6x + 16 = 0

x² - 12x + 32 = 0

(x - 8)(x - 4) = 0

For the first time: x - 4 = 0 -> x = 4.

The snowball traveled 4 feet when the height is 20 feet.

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Answer:

a = -2  

Step-by-step explanation:

Ok, so for parallel lines you need to make slopes for both the lines equal. So for line y = x + 4 the slope is 1. (slope is the coefficent infront of the x value while in y=mx+b form. To make the other line have a slope of 1 a needs to be a number as so that 2a+5 = 1

2a+5 = 1

2a = 1 - 5

a = -4/2

a = -2  

Answer:

a 40 sheets/min

b 2400 sheets

c25mins

Step-by-step explanation:

a

120/3=40 sheets /min

b

40*60=2400

c

1000/40=25

Answer:

1) 40 sheets/minute 2) 2400 3) 25 minutes

Step-by-step explanation:

Answer: 115/hr & $75/hr

Step-by-step explanation: please see attached PDF document for detailed instructions including step by step.

Answer:

One square inch is equal to . So, your box have  square inches and it costs  or $36 to manufacture it.

Step-by-step explanation:

Answer:

m∠A = 19°

vertical angles are of same measure.

⇒ so given m∠A = m∠B

Find x

Then find m∠A

Answer:

That's your answer

Step-by-step explanation:

So In this problem We are told both angles are vertical. That is enough information. When 2 Angles are vertical they measure the same. Vertical angles have SAME measure.

Now we are given 2 angles.

Angle A and Angle B

Angle A= (3x+13) degrees

Angle B=(5x+9) degrees

Knowing that and that they measure the same just put them equal to each other……

3x+13=5x+9

Given the equation just solve…..

Lets subtract 9 from 13

Then Subtract 3x

Then Divide by 4

3x+13=5x+9

3x+4=5x

4=2x

x=4/2 =2

x= 2

We now Know X is equal to ½ but we still need to figure out the measure of angle A

Angle A= 3x+13

So just plug in

3(2) +13= 19° :)

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answer : the sum so obtained is rupees 300