What is the period of the function graphed below?

Answer:

Step-by-step explanation:

Remark

You need to choose between tan(30) and tan(60). Tan(60) = √3 which has a rational denominator (1).

Tan(60) = opposite / adjacent

Tan(60) = √3

Given

opposite = x

adjacent = 4

Theta = 60

Tan(theta) = √3

Solution

Tan(theta) = opposite / adjacent       Substitute values

√3 = x / 4                                            Multiply both sides by 4

4√3 = x

Answer

x = 4√3

Answer:

Option D

Step-by-step explanation:

Given expression:

The given expression can also be written as;

When simplified, we get;

When we open the parentheses and the curvy brackets, we get;

Finally, we can see that 3 is a whole number. Therefore,

Therefore, Option D is correct.

Answer:

D, or 3 [tex]\frac{5}{6}[/tex]

Step-by-step explanation:

6/6 is equal to 1, so substitute that throughout your problem

1 + 1 + 1 + [tex]\frac{3}{6}[/tex]+ [tex]\frac{2}{6}\\[/tex]

1 + 1 + 1 = 3

[tex]\frac{3}{6}[/tex] + [tex]\frac{2}{6}[/tex] = [tex]\frac{5}{6}[/tex]

3 + [tex]\frac{5}{6}[/tex] = 3 [tex]\frac{5}{6}[/tex]

Your answer is 3 5/6 or 3 [tex]\frac{5}{6}[/tex]

hope this helps:)

Answer: A binomial has a specified number of trials just before an experiment begins, and X counts the number of achievements acquired within that limited number. While a geometric, on the other hand, has a fixed number of successes and counts the number of attempts necessary to reach the first success. 

Step-by-step explanation:

This is only for the first question i don't know the second one sorry

The required difference between binomial and geometric models is In binomial there is to count of the number of successes, and in the geometric model, only the first success counts.

GIven that,
To determine how do binomial and geometric models differ and situations would a geometric model be better than a binomial model.

In mathematics, it deals with numbers of operations according to the statements.

Binomial distribution describes the number of successes k achieved in n trials and Given a finite number of trials, the geometric distribution is useful for calculating the chance of success.

Before an experiment starts, a binomial has a set number of trials, and X counts the number of successes attained within that fixed number. A geometric, on the contrary, count the number of efforts required to attain the first success and has a set number of successes.

The experiment can have an infinite number of attempts before success, unlike the binomial distribution which has a fixed number of trials, hence the geometric distribution is useful to describe the number of failures before the first success in such a sequence of trials.

Thus, the required difference between binomial and geometric models is In binomial there is to count of the number of successes, and in the geometric model, only the first success counts.

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Answer:

x = -2

Step-by-step explanation:

Domain of definition

[tex]\sqrt{-x-2}[/tex]

=> -x - 2 >= 0

=> x <= -2

When x = -2 f(x) gets real outputs

The volume of the prism when Joe is packing the cubes will be 210cm³.

It should be noted that the volume of the prism given in this situation will be:

= Length × Width × Height

In this case, since Joe is packing 1-centimeter cubes into a prism. The volume will be:

= Length × Width × Height

= 5 × 6 × 7

= 210cm³

In conclusion, the volume will be 210cm³.

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The average speed of Keane’s journey is 56.25 miles per hour

The given parameters are:

The average speed is calculated as:

Speed = Distance/Time

This gives

Speed = 180 miles/3.2 hours

Evaluate the quotient

Speed = 56.25 miles per hour

Hence, the average speed of Keane’s journey is 56.25 miles per hour

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Answer:

segment BF

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer to first question = her mistake was that she wrote the constant to be 10 whereas the constant is actually -10 once you rearrange the equation to look like a quadratic equation.

Quadratic equations are written in form of ax^2 + bx + c = 0

You are given x^2 + 3x = 10, first you need to bring the constant c (10) to the left side (by subtracting 10 on both sides).

x^2 + 3x - 10 = 0

c = -10

Answer to second part:

x = 2, -5

Part A

Reason:

The range, IQR, and the standard deviation are all measures of spread.

IQR stands for Interquartile Range. Unfortunately your teacher made a typo and wrote IRQ by mistake.

The symbol [tex]\sigma[/tex] is the greek letter sigma used to represent the population standard deviation.

The smaller these measures are, the more less spread out the values will be. This leads to the most consistent data set. Think of it like being on an archery range. The more consistent shots are closely clustered around the same point (not necessarily the center), while the less consistent shots are more randomly scattered about.

School B has the smallest range, IQR, and standard deviation of the three schools. Therefore, this school has the most consistent attendance.

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

Part B

Reason:

This school has the highest mean, and also the largest median, of all three schools. Both of these are measures of center or average. Compared to school B, this data set is a bit more spread out and not as consistent.

The profit per bag for the bags sold at $1 each is 0.35

The correct option is: (D)

Profit is the positive financial gain remaining after all costs, taxes, and expenses have been deducted from total sales.

Profit per bag for the bags sold at $1 each be,

Profit = (Estimated sales -(Estimated Sales* Variable cots +Fixed cost))/Estimated Sales

We know,

Estimated sales= 1600000

Variable cost = 0.40

Fixed cost= 400000

So, Profit = [tex]\frac{1600000-(1600000*0.40+400000)}{1600000}[/tex]

               = [tex]\frac{1600000-(1040000)}{1600000}[/tex]

              = [tex]\frac{560000}{1600000}[/tex]

              = 0.35

Hence, the profit per bag be 0.35.

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Answer:

B

Vertex = (6,18)

Step-by-step explanation:

Vertex form = f(x) = a(x-h)^2+k

Answer:

1 Answer->3

Step-by-step explanation:

To factor this out find the factors of 9 which add up to 6.

3 and 3 work therefore factor it out to

(x+3)(x+3)=0

Using Zero product property x is equal to -3

And there is only one answer which is 3

Given the values of the circumference and volume, the height  of the tree trump to the nearest tenth is 36.0in.

A cylinder is simply a 3-dimensional shape having two parallel circular bases joined by a curved surface.

The volume of a cylinder is expressed as;

V = π × r² × h

Where r is radius of the circular base, h is height and π is constant pi ( π = 3.14 )

Given the data in the question;

First we determine the radius of the circular base.

Since circumference C = 2πr then r = C / 2π.

Hence, the volume of the cylinderical tree stump will be;

V = π × (C / 2π)² × h

V = π × ( C² / 4π² ) × h

V =  hC² / 4π

4πV = hC²

h = 4πV / C²

We substitute our given values into the expression

h = ( 4 × 3.14 × 20214in³ ) / (84in)²

h = 253887.84in³ / 7056in²

h = 36.0in

Therefore, given the values of the circumference and volume, the height  of the tree trump to the nearest tenth is 36.0in.

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Answer:

3

Step-by-step explanation:

VERIFED PEOPLE ARE WORNG!

300 degrees

Step-by-step explanation:

Of two traingles

Of 3 rectangles

TSA

Answer:

96 ft²

Step-by-step explanation:

As the base of the prism (the triangle) is an equilateral triangle (the sides are the same length), the surface area of the prism comprises:

Area of a rectangle = width × length

⇒ area of the rectangle = 3 ft × 10 ft = 30 ft²

Area of a triangle = 1/2 × base × height

⇒ area of the triangle = 1/2 × 3 ft × 2 ft = 3 ft²

Total surface area = 3 × area of the rectangle + 2 × area of the triangle

                              = 3 × 30 ft² + 2 × 3 ft²

                              = 90 ft² + 6 ft²

                              = 96 ft²

This is called system of equations because you are searching a pair of numbers that inserted as x and y verify both equations at the same time.

To solve a system of equation you have to use one equation to express one variable as a function of the other, and substitute the result in the second equation.

In your case you have

y = x - 2

So your y  variable will be always equal to x - 2 , even in the second equation. Then we can write

x - 2 = 4x + 1

Here I replaced the "value" of y in the second equation.

Now you have an equation in one variable that you can solve as usual

x - 2 = 4x + 1

4x - x = - 2 - 1

3x = -3

x = -1

With a value for x you can substitute in one of the two equations and obtain y. Because both equations has to be valid at the same time, both equations must give you the same number for y.  Let's try:

y = x - 2

y = - 1 - 2

y = -3

and, with the second equation

y = 4x + 1

y = 4 ( - 1 ) +  1

y = - 4 + 1

y = -3

It works! Then our solution is given by x = -1 and y = -3.

To graph this, simply plot these coordinates.