Which fraction below represents a terminating decimal?
A.
B.
C.
D.

Answer: 18.38 feet

Step-by-step explanation:

Hi, to answer this question we simply have to solve the expression √338, which is the length of the wire.

Mathematically speaking:

√338 = 18.3847 feet  

Since the number after the hundredths place is less than 5:

Length of the wire: 18.34 feet (rounded to the nearest hundredth)

Feel free to ask for more if needed or if you did not understand something.

Using the proportional relationship, it is found that:

A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:

\(y = kx\)

In which k is the constant of proportionality.

In this problem, the relationship is given by:

\(y = \frac{x}{2}\)

Hence, when x = 1:

\(y = \frac{1}{2} = 0.5\)

When x = 2.5:

\(y = \frac{2.5}{2} = 1.25\)

When x = 3.5:

\(y = \frac{3.5}{2} = 1.75\)

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Answer:

x   y

___

12 4

3  1

18 6

Step-by-step explanation:

Answer:

blue i think good luck

Answer:

option d is correct

de=9 and ef=15

I THINKS ITS B

I SUPPOSE THE TEACHER GIVES TO MUCH WORK

9514 1404 393

Answer:

  x = 38.2

Step-by-step explanation:

Each of the functions of x represents the measure of an angle in the triangle. You write an equation for x by using what you know about the relationships of angles in a triangle: their sum is 180°.

  (2x) +(x -18) +(2x +7) = 180

  5x -11 = 180 . . . . . . . collect terms

  5x = 191 . . . . . . . . . . add 11

  x = 38.2 . . . . . . . . . divide by 5

The management fee Mike must pay this year is $84.

To calculate the management fee Mathew must pay this year, we need to find 0.50 percent of $16,800.

First, let's convert the percentage to a decimal by dividing it by 100. So, 0.50 percent is equal to 0.50/100 = 0.005.

Now, multiply the total investment amount by the management fee rate:

Management fee = $16,800 x 0.005 = $84.

Therefore, Mathew must pay $84.00 as the management fee this year for his investment in the New Colony Pacific Region mutual fund (rounded to 2 decimal places).

In summary, management fees are a percentage of the total asset value invested in a mutual fund, which goes toward compensating the fund managers for their services. In this case, Mathew's management fee is 0.50 percent, which equals $84.00 for the year.

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The average rate of change in h(t) is 6.

It is a measure of how much the function changed per unit, on average, over that interval.

h(t) = 3 + 70t - 16t²

Average rate of change

At t = 1 second

h(1) = 3 + 70(1) - 16(1)^2

h(1) = 57

At t = 3 second

h(3) = 3 + 70(3) - 16(3)^2

h(3) = 69

Average rate of change = Δh / Δt

=[h(3) - h(1)] / (3 - 1)

= (69 - 57) / 2

= 12 / 2

= 6.

Hence, the rate of change is 6.

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Answer:

133/7 = 19

Step-by-step explanation:

"Find the average change in the zoo's tiger food supply each day."

And what does that have to do with anything? It's not like there is a change in diet that we can then easily calculate using derivatives.

Answer:

A

Step-by-step explanation:

d≈5.09

Using the formulas

C=2πr

d=2r

Solving for d

d=C/π=16/π≈5.09296

The inputs that are solutions for the inequality are:

x = 2

x= 1

Here we have the following inequality:

-5x < 2

We want to see which of the given inputs is a solution for this.

First we can isolate the variable in our inequality, so we get:

-5x < 2

-2 < 5x

-2/5 < x

-0.4 < x

So any value larger than -0.4 is a solution, from the given options, the two that are solutions are:

x = 1

x = 2.

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Answer:

A

Step-by-step explanation:

It shows 2.5 and then it adds 4.5 to it

Answer: A

Step-by-step explanation: Graph A shows that the small arrow is going up from 2.5 and adding 4.5 from it which equals 7. It ends at 7. The other graphs don’t represent the information given!

Answer:

x = 28

Step-by-step explanation:

\( \tan(2x - 65) \degree = \cot(3x + 15) \degree \\ \\ \tan(2x - 65)\degree = \tan \{90 \degree - (3x + 15)\degree \} \\ \\ (2x - 65)\degree = \{90 \degree - (3x + 15)\degree \} \\ \\ (2x - 65)\degree + (3x + 15)\degree = 90 \degree \\ \\ (2x - 65 + 3x + 15)\degree = 90 \degree \\ \\ 5x - 50 = 90 \\ \\ 5x = 90 + 50 \\ \\ 5x = 140 \\ \\ x = \frac{140}{5} \\ \\ x = 28\)

The volume of the pyramid is 80 yd³

A pyramid has a polygonal base and flat triangular faces, which join at a common point called the apex.

The volume of a pyramid is expressed as;

V = 1/3 base area × height

base area = l× w

where l is the length and w is the width

base area = 8 × 6

= 48 yd²

The height of the pyramid is 5 yds

Therefore;

Volume = 1/3 × 48 × 5

= 16 × 5

= 80 yd³

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Answer:

\(\huge\boxed{\text{1. }\$ 15}\)

\(\huge\boxed{\text{2. } \$ 1200}}\)

Step-by-step explanation:

By examining the different parts of this equation and what they mean in the context of this problem, we can use the equation to find out different pieces of information about the scenario.

An equation in the form \(y = mx+b\) is set up in the way that m = slope, and b = y-intercept.

When starting on a graph, you start at x = 0. Plugging 0 into the equation as x leaves y as 1200. This shows that the base price to make a book is

$1200.

Also, the equation shows that the slope of the line is 15. If we were to put this on to a graph, then every time x (books) increases by 1, y (cost) would increase by 15. Therefore, books cost $15 per book to publish. This makes it the total cost for every book published.

Hope this helped!

Answer:

$2,142

Step-by-step explanation:

7% of 18,600 is 1,302

Add this to 840 and you get a total of $2,142

Commission is $1,302

Gross pay is $840

The standard deviation of a numerical data set measures the variability of the data. It is a widely used measure in statistics that helps to determine how spread out the values are within a given data set.

By calculating the standard deviation, we can better understand the range and distribution of values in the data set, as well as identify potential outliers. This measure is particularly important in fields such as finance, science, and engineering, where understanding the variability in data can be crucial for making informed decisions and predictions. So, the most appropriate term that makes the statement true is D: variability.

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The frequency with largest amplitude  for the particular solution to the differential equation is w = 0.707 (approximately).

To find the frequency with the largest amplitude, we can assume that the particular solution to the given differential equation is of the form:

y(t) = Aeiwt

Taking the first and second derivatives of y(t), we get:

dy/dt = iwtAeiwt

d2y/dt2 = -w2Aeiwt

Substituting these into the differential equation, we get:

-w2Aeiwt + 2Aeiwt = eiwt

Simplifying, we get:

A = 1 / (1 - 2iw2)

The amplitude of y(t) is given by |A|, which is:

|A| = 1 / |1 - 2iw2|

To find the frequency w for which |A| is largest, we need to minimize the modulus of the denominator of A over all frequencies w. We can do this using numerical optimization methods. So, frequency is 0.707.

Therefore, the frequency with the largest amplitude is w = 0.707 (approximately).

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The inequality relating −2\(e^{(-n/n^2)}\) to 121/\(n^2\) for n ≥ 1 is -2\(e^{(-n/n^2)}\) ≤ 121/\(n^2\).

To derive the inequality, we start by comparing the expressions −2\(e^{(-n/n^2)}\)  and 121/\(n^2\).

Since we want to express the numbers in exact form, we keep them as they are.

The inequality states that −2\(e^{(-n/n^2)}\)  is less than or equal to 121/\(n^2\).

This means that the left-hand side is either less than or equal to the right-hand side.

The exponential function e^x is always positive, so −2\(e^{(-n/n^2)}\)  is negative or zero.

On the other hand, 121/\(n^2\) is positive for n ≥ 1.

Therefore, the inequality −2\(e^{(-n/n^2)}\)  ≤ 121/\(n^2\) holds true for n ≥ 1.

The negative or zero value of −2\(e^{(-n/n^2)}\)  ensures that it will be less than or equal to the positive value of 121/\(n^2\).

In symbolic notation, the inequality can be written as −2\(e^{(-n/n^2)}\)  ≤ 121/\(n^2\) for n ≥ 1.

This representation captures the relationship between the two expressions and establishes the condition that must be satisfied for the inequality to hold.

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It will be feasible to create a coordinate code that looks like this using the knowledge of the Python computational language:

Writing coordinate code in python:

 def __init__(self, x, y):

        self.x = x

        self.y = y

  def getX(self):  

    directly

         return self.x

  def getY(self):

    return self.y

 def __str__(self):

      return '<' + str(self.getX()) + ',' + str(self.getY()) + '>'

class Coordinate(object):

  def __init__(self,x,y):

      self.x = x

      self.y = y

  def getX(self):

     return self.x

  def getY(self):

      return self.y

  def __str__(self):

     return '<' + str(self.getX()) + ',' + str(self.getY()) + '>'

    def __eq__(self, other):            

      if other.x == self.x and other.y == self.y:

          return True

      else:

          return False

  def __repr__(self):

      return "Coordinate"+ str((self.x, self.y))

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The system of linear equations for the given graph is: y = 1/2x + 6;  y = -3x - 1

The graph of a linear equation follows a slope-intercept form y= mx + b, where m is the slope and b is the y-intercept. We can determine the graph of a linear equation by merely looking at the graph and finding two points on the graph from which the slope of the graph can be determined the represent it as a linear equation.

The linear equation can now be converted to a standard form to determine the system of the linear equation.

From the graph.

The first upper graph to the right shows the point (-2, 5) and (0,6)

The second graph to the left shows the point (-2, 5) and (0,-1)

The slope of the first graph = (6  - 5 )/(0--2) = 1/2; The y-intercept = 6

In slope-intercept form, we have:

y = 1/2x + 6 ----- (1)

The slope of the second graph = (-1 - 5)/(0--2) = -6/2 = -3

The y-intercept = -1

In slope-intercept form: y = -3x - 1   ------- (2)

y = 1/2x + 6

y = -3x - 1

Therefore, we can conclude that the system of linear equations for the given graph is: y = 1/2x + 6;  y = -3x - 1

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The equation r-6=0 is given in the cylindrical coordinates. The shape of this equation is not a sphere; it is a cylindrical shell. This equation is a cylindrical shell rather than a sphere.

Therefore, the given statement, "The shape of this equation is a sphere" is FALSE.

Cylindrical coordinates (r, θ, z) are a coordinate system that defines a point in three-dimensional space. It is similar to the polar coordinate system, except that the z-axis is added, resulting in the use of a cylindrical surface to specify the point location.

Let's find the solution.The cylindrical coordinate system is a three-dimensional coordinate system that is defined by the distance from a point in the xy-plane to a fixed point known as the origin, the angle that the point makes with the x-axis, and the vertical height of the point from the xy-plane, which is referred to as the z-coordinate of the point.

When defining a point in three-dimensional space, cylindrical coordinates are commonly used.

A sphere is a three-dimensional object with a curved surface that is equidistant from a single point in space. A spherical coordinate system is often used to specify the position of a point on a sphere. A cylindrical coordinate system, on the other hand, is commonly used to specify the position of a point on a cylindrical shell.

The equation

r - 6 = 0

is given in cylindrical coordinates. This equation is a cylindrical shell rather than a sphere.

Therefore, the given statement, "The shape of this equation is a sphere" is FALSE.

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Answer: X = -12

Step-by-step explanation:

-5x+12-7x=-3(5x+8)

To solve this, first open the bracket.

-5x+12-7x= -15x - 24

Then, collect like terms

-5x + 15x - 7x= -24 - 12

3x = -36

x = -36/3

x = -12

Answer:

E. 120

Step-by-step explanation:

A. 40

B. 72

C. 80

D. 100

E. 120

Let

x = the intended distance

y = length of the pool

She covers one fifth of her intended distance

Distance covered = 1/5 of x

= x/5

After swimming six more lengths of the pool she had covered one quarter of her intended distance

x/5 + 6y = 1/4 of x

x/5 + 6y = x/4

Collect like terms

6y = x/4 - x/5

6y = 5x - 4x/20

6y = x/20

x = 20 * 6y

= 120y

x = 120y

The intended distance Rebecca wants to cover = 120

Answer:

Step-by-step explanation:

Given points:

Slope is:

Use formula y = mx + b, substitute x = -2, y = 1, m = -3/5, find y-intercept b:

Correct option is B.

Step-by-step explanation:

\( m \: = \: -3/5 \: and \: b \: = \: -1/5\)

Answer: 3x^2+16x-12

Step-by-step explanation:

Jen simulated her net income over 5 years assuming sales vary based on a normal distribution $100,000 and operating costs 60% and 65% of sales. keeping the loan payment be fixed at $13,000. The probability of making at least $12,000 each year is the number of successful simulations divided by 100. and at least $60,000 total over 5 years based as the number of successful simulations divided by 100.

To simulate Jen's annual net income over the next 5 years, a spreadsheet model can be created with columns for year, sales, operating costs, loan payment, and net income.

For each year, the sales can be generated from a normal distribution with mean $100,000 and standard deviation $10,000, and the operating costs can be generated from a uniform distribution between 60% and 65% of sales.

The loan payment can be fixed at $13,000, and the net income can be calculated as the difference between the sales, operating costs, loan payment, and taxes (28% of net income).

To find the probability that Jen will make at least $12,000 in each of the next five years, 100 simulations can be run using the model created in part a. For each simulation, the net income for each of the next five years can be calculated, and if the minimum net income is at least $12,000 for each year, then the simulation is counted as a success.

The probability of success can be calculated as the number of successful simulations divided by 100.

To find the probability that Jen will make at least $60,000 total over the next five years, 100 simulations can be run using the model created in part a. For each simulation, the total net income over the next five years can be calculated, and if it is at least $60,000, then the simulation is counted as a success.

The probability of success can be calculated as the number of successful simulations divided by 100.

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Answer:

triangle A

Step-by-step explanation:

the area is 16cm²

8×4/2 = 32/2 = 16

The p-value is 0.063, which indicates that there is not strong evidence to reject the null hypothesis that the percentage has stayed the same.

The p-value can be calculated by using a one-proportion z-test. The null hypothesis would be that the percentage has stayed the same from last year, and the alternative hypothesis is that the percentage has decreased.

The formula for the z-score is (x-p)/√(p(1-p)/n), where x is the observed proportion (39/260), p is the expected proportion (0.20), and n is the sample size (260). The p-value is then calculated using the z-score and the cumulative distribution function.

Therefore p-value, in this case, is 0.063, which indicates that there is not strong evidence to reject the null hypothesis that the percentage has stayed the same.

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