What is the equation of the sinusoid?

Answer:

P moves = 70.73 m

Step-by-step explanation:

Given data

Radius = 38

initial position of P = ( 38,0 )

initial position of center S = ( 14,0)

position of P ( after s moved counterclockwise )

:  x = 14cost + 24cos(7/12t)

  y = 14sint - 24sin(7/12t)

Determine how far P moves before returning to its initial position

attached below  is the solution

P moves = 70.74 m

Answer:

a) upward

b) x = -2

c) -2, 1

d)

none

y = 5

Step-by-step explanation:

a) I think that is clear and speaks for itself.

b) axis of symmetry : around what line can this figure be considered as "mirrored", so that it looks like how it looks ?

x = -2 is a line/axis parallel to the y-axis (vertical) that does the figure into 2 halves that are the mirrored images of each other.

c) the extreme point. the point with a tangent with slope=0 (a flat line). there is only one. at x=-2. and the y-value is 1.

d) there is no intercept with the x-axis at all.

and the intercept with the y-axis is at y=5.

Answer:

80 minutes

Step-by-step explanation:

* means multiply

make 1 hour into 60 minutes

3 miles/60 minutes = 4 miles/x minutes

3x = 240

x = 80

Answer:

Step-by-step explanation:

its easyk

Answer:

140

Step-by-step explanation:

Suppose,

x drinks were sold for 2$

y drinks were sold for 5$

therefore, x+y = 250....( 1 )

and 2x+5y = 830......( 2 )

multiply equation ( 1 ) with 2,

2x+2y = 500......( 3 )

Subtract equation ( 3) from (2)

3y = 330

or, y = 110

so, x = 140

so, 140 drinks were sold for 2$

140 drinks were sold for $2.

A variable is any letter or symbol that represents a number with an unknown value.

We can define them simply by any alphabet like x or y.

A linear equation is generally of the form Ax + By = C, where the two variables are x and y, while A, B and C are constants.

A constant is a value or number that never changes and it's constantly the same.

We have to choose our variables and put them in the equation such that it holds properly and satisfies all the conditions for the given question.

There are several methods of solving linear equations. we may have the linear equation with two or three or many variables. The methods are:

In the given question first, let's make our variables.

Let, the number of drinks was sold for 2$ is x, and the number of drinks was sold for 5$ is y.

And now we will try to make the linear equation with two variables because we have two variables satisfying the conditions in the question given.

One thing to remember carefully is that we have to have two equations if we have two variables.

The restaurant sold a total of 250 drinks so we can write,

x + y = 250  

The total sales of drinks for the night was $830 so again we can write,

2x + 5y = 830

Now, we have made the two equations, so we will solve them with help of the substitution method.

Let's, take the equation and just find the value of x,

x + y = 250

x = 250 - y

Now, we will substitute the value of x in the other equation,

2×(250 - y) +5y = 830

Multiplying 2 with the term (250 - y),

500 - 2y + 5y = 830

Now, solve for y,

500 +3y = 830

subtracting 500 both sides we get,

500 - 500 + 3y = 830 - 500

3y = 330

Dividing both sides by 3 we get,

(3y) / 3 = 330 / 3

y = 110

Now, again putting the value of y in the equation x + y = 250 we get,

x + 110 = 250

Subtracting 110 both sides we get,

x + 110 - 110 = 250- 110

x = 140

Now, we can conclude that the number of drinks sold for 2$ is 140 and the number of drinks sold for 5$ is 110.

Therefore, 140 drinks were sold for $2.

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Answer:

See Below.

Step-by-step explanation:

We are given that:

[tex]\displaystyle \frac{dT}{dt} = -k(T - T_0)[/tex]

And we want to show that:

[tex]\displaystyle T = T_0+Ae^{-kt}[/tex]

From the original equation, divide both sides by (T - T₀) and multiply both sides by dt. Hence:

[tex]\displaystyle \frac{dT}{T-T_0}= -k\, dt[/tex]

Take the integral of both sides:

[tex]\displaystyle \int \frac{dT}{T- T_0} = \int -k \, dt[/tex]

Integrate. For the left integral, we can use u-substitution. Note that T₀ is simply a constant. Hence:

[tex]\displaystyle \ln\left|T - T_0\right| = -kt+C[/tex]

Raise both sides to e:

[tex]\displaystyle e^{\ln\left|T-T_0\right|} = e^{-kt+C}[/tex]

Simplify:

[tex]\displaystyle \begin{aligned} \left| T- T_0\right| &= e^{-kt} \cdot e^C \\ \\ &= e^C\left(e^{-kt}\right) \\ \\ &=Ae^{-kt} & \text{Let $e^C = A$}\end{aligned}[/tex]

Since the temperature T will always be greater than or equal to the surrounding medium T₀, we can remove the absolute value. Hence:

[tex]\left(T - T_0\right) = Ae^{-kt}[/tex]

Therefore:

[tex]\displaystyle T = T_0+Ae^{-kt}[/tex]

Mandatory minimum character count of 20.

Answer:

[tex]MSE = 10[/tex]

Step-by-step explanation:

Given

[tex]SSTR = 200[/tex]

[tex]SST = 800[/tex]

Required

Determine MSE

This is calculated as:

[tex]MSE = \frac{1}{ddf} * SSE[/tex]

Where:

[tex]SSE = SST - SSTR[/tex]

[tex]ddf \to[/tex] denominator df

So, we have:

[tex]SSE = 800 - 200[/tex]

[tex]SSE = 600[/tex]

To calculate the df, we have:

[tex]r = 13[/tex] --- observations

[tex]n = 5[/tex] treatments

So:

[tex]ddf = Total\ df - Numerator\ df[/tex]

[tex]Total = n*r-1 = 5*13 -1 = 64[/tex]

[tex]Numerator =n - 1 = 5 - 1 =4[/tex]

[tex]ddf =64-4=60[/tex]

So, we have:

[tex]MSE = \frac{1}{ddf} * SSE[/tex]

[tex]MSE = \frac{1}{60} * 600[/tex]

[tex]MSE = 10[/tex]

Answer:

(4,0)

Step-by-step explanation:

the dot is on 4 and the line is 0 so answer is 4,0

Answer:

96 employees

Step-by-step explanation:

Given that the standard deviation = 22.8

The width in the question = 12

We solve for the margin of error E.

E = width / 2

= 12/2 = 6

At 99%

Alpha = 1-0.99

= 0.01

Alpha/2 = 0.01/2 = 0.005

Z0.005 = 2.576

Sample size n

= ((2.576x22.8)/2)²

= 95.8

= 96

The number of employees is 96

Thank you!

Answer:

For some reason I cannot open the photo you have provided.

Step-by-step explanation:

Please try to re-upload?

Answer:

upper left...

there are zeros at (x)(x+3) (x-2)

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

x-2y=4 has a x-intercept of 4, a slope of 1/2, and a y-intercept of -2. 2x+y=4 has a x-intercept of -2, a slope of 2, and a y-intercept of -4.

Answer:

141

Step-by-step explanation:

if the sum of the two angles equals 180 subtract 39 from 180 to get the remainder of 141 which is angle 2

Answer:

32/166=9/29 if two ratio are equivalent to other

Answer:

2.7

Step-by-step explanation:

ratios help

2.5 : 5.8 :: x : 6.2

2.5/5.8 = x/6.2

solve for x :

x = approx.   2.7

9514 1404 393

Answer:

  sin(θ) = (-7√65)/65

  csc(θ) = (-√65)/7

Step-by-step explanation:

The angle will have the given characteristics if its terminal ray passes through the 3rd-quadrant point (-4, -7). The distance from the origin to that point is ...

  d = √((-4)² +(-7)²) = √65

The sine of the angle is the ratio of the y-coordinate to this value:

  sin(θ) = -7/√65

  sin(θ) = (-7√65)/65

The cosecant is the inverse of the sine

  csc(θ) = (-√65)/7

This is ur answer plz mark brainliest

Answer:

-(x + 3)(x - 3)

Step-by-step explanation:

Using the difference of squares we can factor this expression.

[tex](9 - x^2)\\= (3^2 - x^2)\\= (3 + x)(3 - x)\\= -(3 + x)(-3 + x)\\= -(x + 3)(x - 3)[/tex]

Answer:

D: y = 2x - 2

Step-by-step explanation:

1. [tex]\frac{16-8}{9-5}[/tex] = 2

2. y = 2x + b

3. Insert the points into the equation: 8 = 10 + b

4. b = -2

5. y = 2x - 2

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

Explanation:

Apply the slope formula

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

m = (16-8)/(9-5)

m = 8/4

m = 2

Then use this slope, along with another point such as (x,y) = (5,8) to find b

y = mx+b

8 = 2*5+b

8 = 10+b

8-10 = b

-2 = b

b = -2

Or you could use the other point (x,y) = (9,16)

y = mx+b

16 = 2*9+b

16 = 18+b

16-18 = b

-2 = b

b = -2

Either way, we get the same y intercept.

So because m = 2 is the slope and b = -2 is the y intercept, we go from y = mx+b to y = 2x-2

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

To help verify the answer, note how plugging x = 5 leads us to...

y = 2x-2

y = 2*5 - 2

y = 10-2

y = 8

So x = 5 and y = 8 pair up together. This verifies (5,8) is on the line.

Through similar steps, you should find that the input x = 9 leads to the output y = 16. So that would confirm (9,16) is also on the line, and fully confirm the answer.

Answer:

h(4n) =16n^2+2

Step-by-step explanation:

h(4n) = (4n)^2+2

h(4n) =16n^2+2

Answer:

C. As x approaches positive infinity, g(x) approaches positive infinity.

Step-by-step explanation:

We are given the following function:

[tex]g(x) = \frac{|x-3|}{2} - 7[/tex]

End behavior:

Limit of g(x) as x goes to negative and positive infinity.

Negative infinity:

[tex]\lim_{x \rightarrow -\infty} g(x) = \lim_{x \rightarrow -\infty} \frac{|x-3|}{2} - 7 = \frac{|-\infty-3|}{2} - 7 = |-\infty| = \infty[/tex]

Positive infinity:

[tex]\lim_{x \rightarrow \infty} g(x) = \lim_{x \rightarrow \infty} \frac{|x-3|}{2} - 7 = \frac{|\infty-3|}{2} - 7 = |\infty| = \infty[/tex]

So in both cases, it approaches positive infinity, and so the correct option is c.

The missing side length is 10 unit.

The relationship between the three sides of a right-angled triangle is explained by the Pythagoras theorem, commonly known as the Pythagorean theorem. The Pythagorean theorem states that the square of a triangle's hypotenuse is equal to the sum of its other two sides' squares.

We have,

Perpendicular = 6

Base = 8

Using Pythagoras theorem

c² = P² + B²

c² = 6² + 8²

c²= 36 + 64

c² = 100

c= 10 unit.

Thus, the missing length is 10 unit.

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9514 1404 393

Answer:

  C.  159°

Step-by-step explanation:

The exterior angle at B is half the difference of the measures of the arcs it intercepts:

  (3x +19)° = 1/2((17x -3)° -91°)

  6x +38 = 17x -94 . . . . . . . . . . multiply by 2, divide by °

  132 = 11x . . . . . . . . . . . . . add 94-6x

  x = 12 . . . . . . . . . . . . divide by 11

Then long arc AD is ...

  arc AD = (17(12) -3)° = 201°

Arc DCA is the rest of the circle:

  arc DCA = 360° -201° = 159°

Answer:

You can cut the plank down from the size you buy to the

exact size, but you want to waste as little wood as possible.

Answer:

The correct answer is - 12.

Step-by-step explanation:

Given:

Total number of people = y = 39x+50

Total amount spent y = 518

Solution:

The equation for the number of people who attended the dinner

y = 39x+50

The cost of dinner is equally divided by number of people =

then, 518 = y

placing value, 518 = 39x+50

x = (518-50)/39

= 468/39

= 12

Then number of people attended the dinner = 12

Answer:

give fufcy UC fugu stuff c

Step-by-step explanation:

zp staff book

Answer:

0.1492-0.1515= -0.0023

Answer: 40

Step-by-step explanation:

You multiple 15X4=60

And now multiple 10x4=40

Answer:

40$

Step-by-step explanation:

There are 60 minutes in an hour so if we break it down:

$10 = 15 minutes

$10 = 15 minutes

$10 = 15 minutes

$10 = 15 minutes

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

Add them together and we get:

$40 = 60 minutes or 1 hour  

Meaning they would make 40$ in 1 hour.