Alex and Debbie took an afternoon walk through the city. Alex practiced his map making skills along the way, and drew an accurate picture of each turn they took. When he got home, he measured the angles of their turns with a protractor. His drawings are shown below. If they started their walk going north, what direction did they end up facing?

Answer:f(4)=−2f(3)=(−2)∗(+640)=−1280

1) missing number is 7 (answer #2)

Each circles' numbers add up to 20. (the first one is 1 + 9 + 10, the second is 5 + 4 + 11.)

20 minus 10 minus 3 is 7, so that's the missing number.

2) missing number is 3 (answer #4)

This one's similar to the previous question. Each square's numbers have a sum of 10, this time. (First square is 2 + 7 + 1 + 0, second is 4 + 3 + 1 + 2.)

10 minus 6 minus 1 minus 0 is the same as 10 minus 7. This equals 3- so there's the number that's missing!

Hopefully this helps!

The distance between N and PS is 3.2.

What is the midpoint of the segment?

Take the distance between the two endpoints and divide it by two. This distance from either end is the line's midpoint. Alternatively, add the endpoints' x coordinates and divide by 2. Repeat for the y coordinates.

From the below figure,

N is the intersection of the red and blue circles.

I’ve drawn PQRS as the square (0,0), (4,0), (4,4), and (0,4).

Then the formula for the red circle is:

             (x-2)² + (y-4)² = 4.

The formula for the blue circle is

                  x² + y²- 16 = 0.

Solving for x and y yields intersections

               (0, 4) and (3.2, 2.4),

the first being S and the latter being N.

Hence, the distance between N and PS is 3.2.

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No cup of ketchup remains.

Brown Sugar =1/4 C

Cider Vinegar = 1/2 C

Ground Cumin = 1tsp

Ketchup           = 2/3 C

Pepper             = 1tsp

Total Quantity of Ketchup =9 cups

1 batch of barbecue sauce =2/3 Cup

x batch of barbecue sauce =9 Cups

x batch of barbecue sauce = 9 Cups *1 batch of barbecue sauce

                                                               2/3 Cup

x batch of barbecue sauce =13[tex]\frac{1}2}[/tex] batches

we know that;

1 batch of barbecue sauce =2/3 Cup

Therefore,

The total number of ketchup Cups used = Total  batch of barbecue sauce *quantity for1 batch of barbecue sauce

               =       13[tex]\frac{1}2}[/tex] batches * 2/3 Cup

The total number of ketchup Cups used =  9 Cups  

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The 95% confidence interval for the population mean SAT score is given as follows:

(1340, 1460).

The confidence interval is calculated using the t-distribution, as the standard deviation for the population is not known, only for the sample.

The bounds are obtained according to the equation defined as follows:

[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]

In which the variables of the equation are presented as follows:

In the context of this problem, the values of these parameters are given as follows:

[tex]\overline{x} = 1400, n = 64, s = 240[/tex]

The critical value, using a t-distribution calculator, for a two-tailed 95% confidence interval, with 64 - 1 = 63 df, is t = 1.998.

Then the lower bound of the interval is of:

1400 - 1.998 x 240/sqrt(64) = 1340.

The upper bound of the interval is of:

1400 + 1.998 x 240/sqrt(64) = 1460.

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A student can take one of each subject in 40 different ways as calculated using the properties of permutation and combination..

So there are four separate math classes, five different science courses, and two different history courses.

There are now 4 ways to complete a math course.

There are 5 different ways to take science courses.

There are two ways to take a history course.

Total ways are now calculated as the product of the potential ways for each course, which equals 4 × 5 x 2 or 40 ways.

As a result, there are 40 possible combinations for three subjects.

In mathematics, a permutation of a set is, if the set also has an ordered structure, the rearranging of its members into a sequence or linear order. The technique of altering an ordered set's linear order is known as permutation.

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The had to wait for the second flight for 40 mins.

We know that sometimes when a person is travelling there may be need to have a flight that connects a person from one place to another and at times you would have to wait for a connecting flight and this wait would add to the total time that is required for the journey.

Now we are told in the question that it takes 8 hours and 5 minutes to travel from Hong Kong to Dubai and that they left Dubai at 2250 hrs but landed in Hong King at  1405 hrs. The time in between must be;  2250 hrs - 1405 hrs = 8: 45 hrs thus the time of waiting is 40 minutes.

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Answer:

98.6

Step-by-step explanation:

in photo!!

The graph of the line that represents the given equation, 3x - 4y = 8, is shown below

From the question, we are to graph the line that represents the given equation.

The given equation is

3x - 4y = 8

To graph the line, we will determine x-intercept and y intercept of the line.

The x-intercept in the point where y equals zero on the line

and

The y-intercept in the point where x equals zero on the line

Determining the x-intercept

3x - 4y = 8

Set y = 0

3x - 4(0) = 8

3x = 8

x = 8/3

The x-intercept is (8/3, 0)

Determining the y-intercept

3x - 4y = 8

Set x = 0

3(0) - 4y = 8

-4y = 8

y = 8/-4

y = -2

The y-intercept is (0, -2)

Using the x-intercept and y-intercept, the graph of the line is shown below

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The system of equation 2x + 6y = 10 , x = 8 - 3y has no solution.

System of equation can be solved using different method such as substitution method, elimination method and graphical method.

Let's use substitution method to solve the system of equation as follows:

2x + 6y = 10

x = 8 - 3y

substitute equation(ii) in equation(i)

2(8 - 3y) + 6y = 10

16 - 6y + 6y = 10

16 + 0 = 10

Therefore, the equation has no solution.

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The total change in the stock market from the beginning of the day to the end of the day is 89.75

A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.

Example: 1/2, 1/3 is a fraction.

We have,

At the beginning of the day, the stock market goes up 30 1/2 points.

At the end of the day, the stock market goes down 120 1/4 points.

The total change in the stock market from the beginning of the day to the end of the day.

= 120(1/4) - 30(1/2)

= 481/4 - 61/2

= 120.25 - 30.5

= 89.75

Thus,

The total change in the stock market from the beginning of the day to the end of the day is 89.75

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The Java code that follows inserts the code into the main function so that the result may be obtained. It incorporated the appropriate questions related to pet so that users could choose the data they should fill in.

Proper class naming and naming practises provide the following advantages:

Even if you aren't the person who developed it or if it was written a long time ago, you know what to anticipate from a specific class without looking at code or documentation.

A codebase is simple to find and traverse.

Speaking with your team about issues or improvements is simpler.

It facilitates newbie onboarding and reduces confusion.

A correctly utilised MVP with a defined name standard is generally a nice illustration of working name expectations. You would anticipate that a class named UseCase/Interactor would provide business logic.

How to solve?

import java.util.Scanner;

public class PetInformation {

 public static void main(String[] args) {

      Scanner scnr = new Scanner(System.in);

      String petName, dogName;

      String dogBreed = "null";

      int petAge, dogAge;

      Pet myPet = new Pet();

      System.out.println("Enter Pet Name:");

      petName = scnr.nextLine();

      System.out.println("Enter Pet Age:");

      petAge = scnr.nextInt();

      Dog myDog = new Dog();

      System.out.println("Enter Dog Name:");

      dogName = scnr.next();

      System.out.println("Enter Dog Age:");

      dogAge = scnr.nextInt();

      scnr.nextLine();

      System.out.println("Enter Dog Breed:");

      dogBreed = scnr.nextLine();

      System.out.println(" ");

      myPet.setName(petName);

      myPet.setAge(petAge);

      myPet.printInfo();

      myDog.setName(dogName);

      myDog.setAge(dogAge);

      myDog.setBreed(dogBreed);

      myDog.printInfo();

      System.out.println(" Breed: " + myDog.getBreed());

  }

}

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Answer:

6115

Explanation:

[tex]70000(1-0.15)^{15} \approx 6115[/tex]

The length of Rocky Mountain Juniper tree will be 1.269 feet.

What is Proportional?

Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.

Given that;

A tour guide for Yellowstone National Park is 5.1 feet tall and casts a shadow of 81.6 inches.

Now,

Let the height of Rocky Mountain Juniper tree = x feet

And, A tour guide for Yellowstone National Park is 5.1 feet tall and casts a shadow of 81.6 inches.

So, The height of a Rocky Mountain Juniper tree be if at the same time of day it casts a shadow of 20.3 feet will be find as;

⇒ 5.1 / 81.6 = x / 20.3

Solve for x as;

⇒ 5.1 × 20.3 / 81.6 = x

⇒ 103.53 / 81.6 = x

⇒ x = 1.269 feet

Thus, The length of Rocky Mountain Juniper tree will be 1.269 feet.

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Answer:

6115

Explanation:

[tex]70000(1-0.15)^{15} \approx 6115[/tex]

The area of the triangle in the image is 1/20 square centimeters.

This is a rather trivial problem.

On the image, we can see a triangle where the height and the base are known quantities.

Remember that for a triangle of height H and base B, the area is given by the formula:

A = B*H/2

Here we can see that:

H = (1/6) cm

B = (3/5) cm

Then we can replace these two fractions on the area formula, we will get:

A = (1/6 cm)*(3/5 cm)/2

A = (3/5*6 cm²)/2

A = (3/30*2 cm²)

A = (3/60 cm²) = (1/20 cm²)

That is the area of the triangle in the image.

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[tex]Answer:\ f^{-1}(x)=\boxed{6^{-x}}[/tex]

Step-by-step explanation:

[tex]\displaystyle\\f(x)=6^x\\\\f^{-1}(x)=(6^x)^{-1}\\\\f^{-1}(x)=\frac{1}{6^x} \\\\f^{-1}(x)=6^{-x}[/tex]

The value of the digit 4 in the number 3.04 is 0.04.

What is the Place Value of a digit ?

Place value is the value a digit in a number represents based on the number's place within the whole.

Here, The place value of the digit 4 is hundredths.

So, Value of digit 4 =  4/100 = 0.04.

Hence, Value of digit 4 in 3.04 is 0.04.

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The expression of the radius is √3v/πx

The equation of the volume is given as

v = 1/3πr²x

Where

r= radius

x = height

So, we have

v = 1/3πr²x

Multiply both sides of the equation by 3

This gives

3v = πr²x

Divide both sides of the equation by πx

So, we have the following representation

3v/πx = r²

Take the square root of both sides

r = √3v/πx

Hence, the radius expression is √3v/πx

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Answer: the answer is A,B,E

Step-by-step explanation:

Answer: The answer is (four/seven)

Yes, because it forms a straight line.

Arithmetic; it's a linear function.

Step-by-step explanation:

2023 Edgen

Answer:

the remaining mass is 7.3 g

Step-by-step explanation:

a=30g

t=200 years

h=98 years

f(98)=a([tex](\frac{1}{2})^ \frac{t}{h}[/tex]

f(98)=30([tex](\frac{1}{2})^ \frac{200}{98}[/tex]

f(98)=7.3

The statement that is used to prove the congruence of angles PTR and STQ is given by:

Lines PQ and RS intersect at an angle less than a right angle.

Congruent angles are angles that have the same measure.

One example of congruent angles is for vertical angles, as these angles are opposite by the same vertex in crossing segments, with an angle less than a right angle of 90º, and then these two angles will be congruent.

The common vertex in the segment given at the end of the answer is of:

T.

The vertical angles are both acute angles, that is, angle measures that are less than 90º, which is the reason for the correct statement.

The diagram is given by the image presented at the end of the answer.

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Answer:

Step-by-step explanation:

The null hypothesis for the data will be 21.62 and the alternate hypothesis is 2.02 for the p-value for the data is 0.2253 .

The charge at which anything happens is referred to as the velocity at which it happens.

The required details for mean rate :

(a) H0: µ = 21.62

Ha: µ ≠ 21.62

(b) t = -1.231

p-value = 0.2253

(c) Stop rejecting H0 right now. No longer significantly different from the domestic water tariff in Tulsa, the suggested household water charge per five CCF for the entire USA.

(d) H0: µ = 21.62

Ha: µ ≠ 21.62

t = -1.231

check statistic ≥ 2.020

Don't dismiss H0 any longer. The suggested five CCF residential water charge for the entirety of the USA is no longer significantly different from the five CCF residential water tariff in Tulsa.

The P-value is higher at 0.05, the level of significance. The impact in this instance is negligible. The attempt to reject the null hypothesis failed.

The conclusion is that there is insufficient statistical support to determine whether other American cities have a different mortality rate than Tulsa.

The crucial values for t at this level of significance are t=2.019.

Given that the statistic t = -1.15 is inside the acceptance range in this case, the null hypothesis is not disproved.

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Answer:

y = 10/17x - 7

Step-by-step explanation:

→ Write in standard form

y = 10/17x + c

→ Substitute in (17, 3)

3 = 10 + c

→ Solve for c

c = -7

→ Rewrite

y = 10/17x - 7

Answer:

Step-by-step explanation:

First of all let's look at the side lengths of both figures.

Let's see how the corresponding sides relate:-

[tex]\sf 6*\cfrac{1}{3} =3[/tex]

[tex]\sf 3*\cfrac{1}{3} =1[/tex]

We can see that all sides scale by the same factor of 1/3.

Therefore, YES A is a scaled copy of Figure B.

______________________

Hope this helps!

Have a great day!

Answer:

A

Step-by-step explanation:

Eliminate B and C because they don't pass through (0,1).

Eliminate D because it doesn't decrease quickly enough.

The fundamental difference between t-test and z-score is: t-test is used to determine the difference in data sets, the standard deviation and the z-score is used to to draw data from a given population with different means and standard deviation. A) The t statistic uses the sample mean in place of the population mean

T-test is a statistic model which is used to find how averages of different data sets differ in case the standard deviation and Z-scores statistic helps to draw data from populations with different means and standard deviations and also place them on a common scale.

The z-core formula is:

Z₁=[tex]\frac{x-m}{s}[/tex]

Therefore the fundamental difference is that the t-test uses the variance in place of the population variance.

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Complete question:

Which of the following is a fundamental difference between the t statistic and a z-score?

A) The t statistic uses the sample mean in place of the population mean

B) All of the choices are differences between t and z.

C) The t statistic computes the standard error by dividing the standard deviation by n - 1 instead of dividing by n.

D) The t statistic uses the sample variance in place of the population variance.