the numeral 16 is a _____ of 4 because it is the product of a given number sbd any whole number

Fnfjfjf

Step-by-step explanation:

Answer:

C - 40

Step-by-step explanation:

The unit rate in a graph is how much a unit increases with time. The unit here is Distance (mi) and the time here is Time (h). So to find the unit rate, you divide the y-value with its corresponding x-value (given it is a straight line, which it is in this case).

So for example, let's take the unit 80mi, its corresponding x-value is 2, so 80/2 = 40. Let's do the same for 160mi, its corresponding x-value is 4, so 160/4 = 40 and so on. The value will be the same for all x-y values in the graph.

Answer: 40 miles/hr

Step-by-step explanation:

The unit rate is the slope of the line.  The slope is the Rise/Run, so pick any two points and calculate.  I'll pick (2,80) and (4,160).

Rise is (160-80) = 80

Run is (4-2) = 2

Rise/Run, or slope, is 80/2 or 40 (miles/hour)

The angle m∠J  in the right angle triangle is 58.1 degrees.

One of the angle of a right tangle triangle is 90 degrees. The sum of

angles in a triangle is 180 degrees.

Therefore, the side length LK can be found using Pythagoras's theorem and the angle can be found using trigonometric ratios.

Hence,

tan ∠J = opposite / adjacent

tan ∠J = 15.1 / 9.4

∠J = tan⁻¹ 1.60638297872

∠J = 58.0909229196

Therefore,

m∠J = 58.1 degrees

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The exponential function that represents this situation is 25000(1.03)ˣ

From the question, we have the following parameters that can be used in our computation:

Inital visitors, a = 25000

Rate of increase, r = 3%

Using the above as a guide, we have the following:

The function of the situation is

f(x) = a * (1 + r)ˣ

Substitute the known values in the above equation, so, we have the following representation

f(x) = 25000 * (1 + 3%)ˣ

So, we have

f(x) = 25000(1.03)ˣ

Hence, the function is 25000(1.03)ˣ

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Answer:

it's the third one bc I got it right

Answer:aaaaaaa

Step-by-step explanation:

AAAAAAAAAA

Answer:

The walkway should be 2ft wide.

Step-by-step explanation:

Let x be the width of the walkway surrounding the pool.

The area including the pool is 560ft².

Let's solve for the value of x.

The length plus twice the width of the pool is multiplied by the width plus twice the width of the pool. This makes up the whole area.

A = lw

560 = (24 + 2x)(16 + 2x)

560 = 384 + 48x + 32x + 4x²

4x² + 80x + 384 - 560 = 0

4x² + 80x - 176 = 0

Divide the whole equation by 4

x² + 20x - 44 = 0

(x + 22)(x -2) = 0

x = -22; x = 2

Since we are dealing with dimensions, take the one with the positive value.

x = 2ft

Let's check

560ft² = (24ft + 2x)(16ft + 2x)

560ft² = (24ft + 2(2ft)) (16ft + 2(2ft))

560ft² = (24ft + 4ft)(16ft + 4ft)

560ft² = (28ft)(20ft)

560ft² = 560ft² ✔

Sample Output: Code to copy: //Import the required package. import java.util.Scanner; //Define the class Main. class Main { //Start the execution of the main() method.

Origin C is a programming language that is ANSI C compatible and also incorporates C++ and C# features. The majority of Origin objects can be accessed programmatically thanks to built-in C++ classes. The NAG C Library's extensive collection of numerical computational routines is also included.

C, a replacement for the programming language B, was initially created by Ritchie at Bell Labs between 1972 and 1973 to create utilities for Unix. It was used to re-implement the Unix operating system's kernel. C increasingly gained popularity in the 1980s.

import java.io.*;

import java.util.Scanner;

public class histogram

{

   public static void main(java.lang.String[] args)

   throws IOException

   {

       Scanner scan = new Scanner (System.in);

       final int min = 1;

       final int max = 10;

       final int limit = 10;

       int[] a = new int[max];

       for (int b = 0; b < a.length; b++)

       {

           a[b] = 0;

       }

       System.out.println("Enter Number between 1 and 100: \n (Or press 0 to stop)");

       int number = scan.nextInt();

       while (number >= min && number <= (limit*max) && number != 0)

       {

           a[(number-1)/limit] = a[(number - 1 ) / limit] + 1;

           System.out.print("Please enter a value:");

           number = scan.nextInt();

       }

       System.out.println("\n__Histogram__");

       for (int y = 0; y < a.length; y++)

       {

           System.out.print("   " + (y * limit + 1) + " - " + (y + 1) * limit + "\t");

           return;

       }

       for (int z = 0; z < a[b]; z++)

       {

           System.out.print("*");

       }

       System.out.println(0);

   }

}

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Answer:2.

Step-by-step explanation:

trust me on this one

Answer and Step-by-step explanation:

Given:

Charges includes 10 hour per month = $50

Charges for additional hour = $9

Piecewise definition of cost F(x) for a month in which a member use a car for  hours.

Find limits?

Find lim x--->10 F(x), lim x--->10F(x), and lim x--->10F(x), which- ever exist.

Lim x → 10- F(x) = 50$

Lim x → 10 [ 9x – 70] = 9( 10) – 70  

                                = 90 – 70

                                = 20 > 10

Limit does not exist.

Lim x → 10+ F(x) = 50$

Lim x → 10+  F(x) = Lim x → 10+   [90x – 70]

                         = 90 – 70

                          = 20 > 10

Limit does not exist.

Lim x → 10 F(x) = 50$

An integer or an decimal.

The limit does not exist.

The piece wise definition of the cost \(f(x)\) for a month in which a member uses a car for \(x\) hours is given by the equation,\(f(x)= 50+9(x-10)\).

Given,

Membership plan is \(\$50\) per month.

We have to write a piece wise definition of the cost \(f(x)\) for a month in which a member uses a car for \(x\) hours.

Here, \(\$\)\($50\) per month fees includes 10 hours of driving each month, so the cost for a month is given as,

\(f(x)= 50+9(x-10)\)

Here \(x\) is the no. of additional hours for the month.

Further,

\(f(x)= 9x-40\).

Now at,

\(lim _{x \to 10^+}f(x) = 9\times 10-40\\\)

Or,

\(f(x)= 90-40\\f(x)=50\)

Similarly, at left limit,

\(lim _{x \to 10^-}f(x) = 9\times (-10)-40\)

Or,

\(f(x)=-90-40\)

\(f(x)=-130\)

Finally at \(x=10\), \(f(x)=9\times10-40\)

\(f(x)=90-40\\f(x)=50\)

Since \(lim{x \to}10^+\) \(\neq limx\to 10^-\neq f(x) (at x= 10)\)

So the required function \(f(x)\) is discontinuous at \(x=10\)

Hence the piece wise definition of the cost \(f(x)\) for a month in which a member uses a car for \(x\) hours is given by the equation,\(f(x)= 50+9(x-10)\).

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The correct answer is $34900.

X : Average amount of loan of student debt by state .

X = N ( μ = $28500 , σ² = ( 3200 )² )

To find : What is the cutoff point that would place a state in top 2.5%

Let it be X

P( X > x ) = 0.025

P(X-μ/σ > X - 28500/3200) = 0.025

P(z >Z ) = 0.025

1 - P(z<Z ) = 0.025

P(z<Z ) = 0.975

φ(z) = 0.975

Z = φ⁻¹(0.975)

X - 28500/3200 = 1.96

X = 34772

i.e; P(X > 34772) = 0.025

Since, it is nearly equal to $34900 option b is correct.

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Answer:

4.6 hours

Step-by-step explanation:

we first need to calculate the total distance he covered and total time taken whole for the journey.

Distance= speed X time

time = Distance/speed

let the total distance be X. he covers 2/5 if the journey first.

2/5 = 0.4

Time = 0.4x/45 hours

the remaining journey is 3/5x

he covers 1/3 X 3/5= 0.2x

time taken = 0.2/90 X hours

the remaining distance = 100× 1.2 = 120km

we add 0.4x + 0.2x to get the fraction he had covered

0.6x.

the remaining distance was X - 0.6x = 0.4 X

thus 120 km represents 0.4x of the journey

we calculate now the value of X

0.4x = 120

X = 300km

Total time taken = 0.4x/45 + 0.2/90 + 1.2 hours

replace X to get time

2.7 hours + 0.7 hours + 1.2 hours

= 4.6 hours

Answer:

midsegment = 23

Step-by-step explanation:

the midsegment is half the sum of the bases, that is

midsegment = \(\frac{18+28}{2}\) = \(\frac{46}{2}\) = 23

Answer:

1/2

Step-by-step explanation:

Area= 3/8

Width=3/4

Length=?

3/8=0.375

3/4x1/2=3/8 (0.375)

The provided expression's simplified form is r¹⁵.

The number of times a number has been multiplied by itself is referred to as an exponent. The way of representing huge numbers in terms of powers is known as an exponent. Exponent, then, is the number of times a number has been multiplied by itself. For instance, the number 6 is multiplied by itself four times, yielding 6 6 6 6. A number or letter placed above and to the right of a mathematical statement known as the base is termed an exponent. It denotes that the basis is to be increased in strength.

Here,

=(r⁶/r³)⁵

=(r⁶⁻³)⁵

=(r³)⁵

=r¹⁵

The simplified form of given expression is r¹⁵.

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The ordered pair is a vertex of the rectangle’s image will be (-4, -1). Then the correct option is B.

A point, line, or geometric figure can be transformed in one of four ways, each of which affects the structure and/or location of the object.

From before the refers to the object's initial condition, and Picture, after transformation, refers to the object's ultimate structure and location.

Rotation does not change the shape and size of the geometry. But changes the orientation of the geometry.

The rectangle is in the first quadrant then the coordinate of the vertices of a rectangle will be positive (x, y).

The rectangle is rotated 180º counterclockwise about the origin.

The rectangle will be in the third quadrant then the coordinate of the vertices of the rectangle will be negative (-x, -y).

Thus, the ordered pair is a vertex of the rectangle’s image will be (-4, -1). Then the correct option is B.

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Answer:

A vertical line through the origin

Step-by-step explanation:

Answer:

4

B

Step-by-step explanation:

Answer:

4

next one is B

Step-by-step explanation: EdGE

The distance from the point to the parametric line is given as follows:

5 units.

The first step is obtaining the vector from the line L(0, 5 + 3t, 2 + t) to the point P(5,5,2), as follows:

P - L = (5, -3t, -t).

The direction vector of the line is given as follows:

(0, 3, 1).

The dot product of the vector with the direction of the line is of zero, hence:

(5, -3t, -t)(0, 3, 1) = 0

-9t - t = 0

-10t = 0

t = 0.

Thus the point on the line which we will use to obtain the distance is of:

(0, 5 + 3(0), 2 + 0) = (0,5,2).

The the distance is obtained applying the formula for the distance between two points as follows:

Distance = square root [(5 - 0)² + (5 - 5)² + (2-2)²] = 5 units.

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Step-by-step explanation:

Dont understand, sorry!!

The median of the data collected from a track meet  is 2 meters.

The median is the middle number in a sorted, ascending or descending list of numbers.

To calculate the median of the given date, we folloe the steps below.

Collected date: 1, 4, 6, 2, 4, 3, 2/3, 1/3, 1/2

Step 1: Rearreange the date in accending order.

Step 2: Pick the middle of the number in the arranged data

Hence, the median of the data collected is 2 meters.

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Answer:

2.5

Step-by-step explanation:

Answer:

The temperature in °C is 35.

Step-by-step explanation:

To calculate the temperature in degree Celsius we need to use the following equation:

\(^{\circ} C = (^{\circ} F - 32) \times \frac{5}{9}\)    (1)

The given equation has an error. Equation (1) is the correct one.

Hence, the conversion of 95 °F to °C is:

\(^{\circ} C = (95 - 32) \times \frac{5}{9} = 35\)

Therefore, the temperature in °C is 35.

I hope it helps you!        

Answer:

no

Step-by-step explanation:

there are just not the same.  :b

The rectangle A is not transformed to B because the shape of both the rectangles is different.

The process of changing the location of the image on the coordinate system will be known as the translation. A rectangle is defined as a two-dimensional shape having four-sided and opposite sides equal and parallel.

Dilation is the process of increasing the size of an object while maintaining its shape. Depending on the scale factor, the object's size can be increased or decreased.

From the above definitions, it is clear that the in the transformation of the objects the size of the objects does not changes. In dilation, the size of the object can be changed.

Therefore, rectangle A is not transformed to B because the shape of both rectangles is different.

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I HOPE IT WILL HELP YOU.

Thank you.

^ - ^

Answer:

The result is 13.3452

It depends on what your teacher wants you to round to.

To the whole number, it would be 13.

To the tenth, it would be 13.3

To the hundredth, it would be 13.35.

To the thousandth, it would be 13.345.

Hope this helps.

Answer:

13.3452, multiply both the numbers,
an estimation would be about 13 since 1.98 is close to 2 and 6.74 is close to 7, but since they aren’t quite there, a 13 would make sense to guess

The minimum initial deposit Arthur must make is $ 4.24.

Since Arthur is saving money to buy a used car in 8 months, and the car costs $ 2,180, and Arthur plans to start with an initial deposit and then deposit 25% more than the previous month until he has enough money to buy the car, to determine what is the minimum initial deposit Arthur must make the following calculation should be performed:  

Therefore, the minimum initial deposit Arthur must make is $ 4.24.

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Answer:

13.8

Step-by-step explanation:

We know that 1 inch is 9.2 miles. The houses are 1.5 inches away. We need to divide 9.2 by 2. We get 4.6. 9.2+4.6=13.8!

13.8

Answer:

The radioactive decay constant or  k = ln (.5) / Half-Life

Half-Life =  -.693147 / .00012

Half-Life = -5,776.225  years

We'll call beginning amount as 100%

Ending Amount = Beginning Amount / 2^n (where n = # of half-lives)

n = 4,050 / 5,776.225 = 0.7011499725

Ending Amount = 100% / 2^0.7011499725

Ending Amount = 100% / 1.625800202

Ending Amount = 61.5081729452%

Ending Amount = 61.5 % (rounded)

Step-by-step explanation:

Answer: Tyler traveled 4 miles in one hour.

Step-by-step explanation: We are given the information that Tyler traveled 52 miles in 13 hours. To find the unit rate, we divide the 52 traveled miles by 13 hours.

52 ÷ 13 = 4 miles in an hour

This means Tyler traveled 4 miles in one hour.

If the random variable x is normally distributed with a mean equal to 0.45 and a standard deviation equal to 0.40, then P(x ≥ .75) is 0.9227.

A z-score describes the position of a raw score in terms of its distance from the mean when measured in standard deviation units. The z-score is positive if the value lies above the mean and negative if it lies below the mean.

Given the problem above, we need to find what the z-score is when P(x ≥ .75).

The formula for calculating a z-score is given by:

\(Z=\dfrac{\text{x}-\mu}{\sigma}\)

Where:

Now,

\(Z=\dfrac{\text{x}-\mu}{\sigma}\)

\(Z=P(\text{x} \geq 0.75) = \huge \text(\dfrac{P(Z \geq (0.75 - 0.45)}{0.40}\huge \text)\)

\(Z= P\huge \text (\dfrac{Z \geq0.30}{0.40}\huge \text)\)

\(Z=P(Z \geq 0.75) = 1 - P(Z < 0.75)\)

\(Z=1 - 0.077337\)

\(Z\thickapprox 0.9227\)

Therefore, the z-score of P(x ≥ .75) is 0.9227.

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