Line RS is perpendicular to Line ST. FIND THE VALUE OF X.​

Answer:

x=3

Step-by-step explanation:

x = number of toppings on berts pizza

Berts pizza has 1x toppings

Ernies pizza has 4x toppings

there are 15 toppings on both pizzas

x + 4x = 15 (combine like terms)-> 5x=15 (divide both sides by 5)-> x=3

Rigid transformation are transformation that preserve the shape and size hence producing congruent figures such as translation, reflection and rotation.

Dilation is a non rigid transformation and does not produce congruent figures.

Transformation is the movement of a point from its initial location to a new location. Types of transformations are reflection, translation, rotation and dilation.

Rigid transformation are transformation that preserve the shape and size hence producing congruent figures such as translation, reflection and rotation.

Dilation is a non rigid transformation and does not produce congruent figures.

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The F-ratio is a measure used in statistical tests, specifically in ANOVA (Analysis of Variance) to test for differences between means of multiple groups.

a) On average, what value is expected for the F-ratio if the null hypothesis is true?

The answer is a. 1. If the null hypothesis is true, it means that there is no significant difference between the means of the groups being compared. Under this assumption, the F-ratio is expected to have a value close to 1, as the variance between the groups is not significantly different from the variance within the groups.

b) On average, what value is expected for the F-ratio if the null hypothesis is false?

The answer is d. Much greater than 1.00. If the null hypothesis is false, it means that there is a significant difference between the means of the groups being compared. Under this assumption, the F-ratio is expected to have a value much greater than 1, as the variance between the groups is significantly larger than the variance within the groups.

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Answer:

\((12 - i) - (8 - 8i)\)

from the general complex expression given: a + bi

isolate the real values and imaginary values;

\( = (12 - 8) + (8i - i) \\ \\ = { \boxed{ \boxed{4 + 7i}}}\)

Answer:

Step-by-step explanation:

Part 1:

1. What is being asked in the problem and what does that mean?

Oliver is meaning to save more money than Lilliana

2.What do you know and what does it mean? What plan are you going to try?

It means that Oliver is trying to be reponsible and save money for a nice house. Use an equalizer and solve it.

3. Write out your thinking and work.

Since Olivier saves 150 per month, we multiply that with the number of years and then subtract the $75 he already saved up (since we only need to calculate the amount that he saved over the months.

2 yr of months: 150x30 -75 = 4480

10 yr of months: 150x180 - 75 = 21,993

4. Write out your response to the question, explaining your answer and what it means.

2 months of years: $4480

10 months of years: $21993

Part 2:

1. What is being asked in the problem and what does that mean?

Liliana needs to save money and we are asked to help her.

2.What do you know and what does it mean? What plan are you going to try?

It means that we have to use an equalizer to give to her so she can save the money over the years.

3. Write out your thinking and work.

Use formulaic methods. Since she has interest on her money, we have to include it:

i = log(x-4*7)^k

i is the interested amount, x is the variable we use, and k is the number of times. 7 is the interest

i = log(4000-4*7)^2 for 4000 at 7% interest over 2 years

i = log(4000-4*7)^10 for 4000 at 7% interest over 10 years

4. Write out your response to the question, explaining your answer and what it means.

Amount after 2 years: $30,000

Amount after 10 years: $15,671

Part 3:

1. What is being asked in the problem and what does that mean?

How we can help Ella save for her college.

2.What do you know and what does it mean? What plan are you going to try?

We can try using formulaic methods like we did for Dan in the previous assignment.

3. Write out your thinking and work.

l = (a/b)^q where l is the amount saved, a is the initial amount of dollars, b, is the time, and q is the interest

2 years: (4500/2)^4.5 = 2,500

10 years: (4500/10)^4.5 = 40,650

4. Write out your response to the question, explaining your answer and what it means.

After 2 years: $2500

After 10 years: $40,650

Ella would be able to afford college (if she does community college, but not a private university).

All in the pdf

Hope this helps

Answer:

102 in^3.

Step-by-step explanation:

Volume of the  ice cream container = 10*14*12 = 1680 in^3.

Volume of the  sherbet container = 11*18^9 = 1782 in^3.

So the answer is 1782 - 1680

= 102 in^3.

Answer:

  (c)  the converse of the original conditional statement

Step-by-step explanation:

If a conditional statement is described by p→q, you want to know what is represented by q→p.

For the conditional p→q, the variations are ...

As you can see from this list, ...

  the converse of the original conditional statement is represented by q→p, matching choice C.

__

Additional comment

If the conditional statement is true, the contrapositive is always true. The inverse and converse may or may not be true.

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Question: In a sale, the price of a book is reduced by 25%. The price of the book in the sale is £12. Work out the original price of the book

Answer: £16

Step-by-step explanation:

To determine the original price of the book, we can use the fact that the sale price is 75% (100% - 25%) of the original price. Let's denote the original price as x.

75% of x = £12

To solve for x, we can set up the equation:

0.75x = £12

To isolate x, we divide both sides of the equation by 0.75:

x = £12 / 0.75

x = £16

Therefore, the original price of the book was £16.

Answer:

gang I'ma be real I'm dmb asl

The area burned as a function of time is (4t² + 4t + 1)π.

There is a forest fire. The forest fire leaves behind an area of grass burned in an expanding circular pattern.

The radius of the circle of burning grass is increasing with time according to the formula r(t) given below :

r(t) = 2t + 1

We need to find the area burned as a function of time.

The equation for the area of the circle is given below :

The area of the circle is πr².

We need to replace the value of radius "r" in the equation with the function given above in terms of time.

A = πr²

A = π(2t + 1)²

A = π(4t² + 1 + 4t)

The area burned as a function of time is (4t² + 4t + 1)π.

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The area under the curve to the right of 64 is approximately 0.2514.

To find the area under the curve to the right of 64 for a normal distribution with a mean (μ) of 60 and a standard deviation (σ) of 6, follow these steps:

Step 1: Convert the raw score (64) to a z-score. z = (X - μ) / σ z = (64 - 60) / 6 z = 4 / 6 z ≈ 0.67

Step 2: Use a standard normal distribution table or a calculator to find the area to the left of the z-score. For z ≈ 0.67, the area to the left is approximately 0.7486.

Step 3: Find the area to the right of the z-score.

Since the total area under the curve is 1, subtract the area to the left from 1 to find the area to the right. Area to the right = 1 - 0.7486 Area to the right ≈ 0.2514

So, the area under the curve to the right of 64 is approximately 0.2514.

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Answer:

4

Step-by-step explanation:

(24+4) ÷ 2 = (24 ÷ 2) + (4 ÷ 2)

28÷2 = 14

Check:

24÷2 = 12

4÷2 = 2

12+2=14

Answer:

The answer is 4.

Step-by-step explanation:

(24 + 4) ÷ 2 = (24 ÷ 2) + (x ÷2)

=28 ÷ 2 = 12 + (x÷2)

14 = 12 + (x ÷ 2)

14 - 12 = x ÷ 2

2 = x ÷ 2

2 × 2 = x

x = 4

The area under the curve between the two values is (d) 0.0750

From the table, we have:

P(z = -0.45) = 0.3264

P(z = -0.67) = 0.2514

The area under the curve is calculated as:

Area = P(z = -0.45) - P(z = -0.67)

So, we have:

Area = 0.3264 - 0.2514

Evaluate the difference

Area = 0.0750

Hence, the area under the curve between the two values is (d) 0.0750

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By examining the values of the expression 1/2, 1/4, 1/8, ..., 1/2^n, we can observe that each term is obtained by dividing the previous term by 2. This pattern suggests that the general formula for the nth term is 1/2^n.

To prove this formula using induction, we need to show that it holds for the base case (n = 1) and then demonstrate that if it holds for any arbitrary value k, it also holds for k+1.

Base case (n = 1): When n = 1, the formula gives us 1/2^1 = 1/2, which matches the first term in the expression.

Inductive step: Assume that the formula holds for some arbitrary value k, i.e., 1/2^k is the kth term. We need to prove that it also holds for k+1, i.e., 1/2^(k+1) is the (k+1)th term. Using the assumption, the kth term is 1/2^k. To find the (k+1)th term, we divide the kth term by 2: 1/2^k divided by 2 is equal to 1/(2^k * 2) = 1/2^(k+1). Thus, we have shown that if the formula holds for k, it also holds for k+1. Since the formula holds for the base case (n = 1) and it holds for k+1 whenever it holds for k, we can conclude that the formula 1/2^n is true for all positive integers n by the principle of mathematical induction.

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a) The line is called a level curve because all points on this line have the same function value of ln(3x + y) = 0.

b) Circle is called a level curve because all points on this circle have the same function value of g(x, y).

(a) We are given the function f(x, y) = ln(3x + y).

We need to find the level curve of the function for the given c-value. Here, c = 0.

Now, the level curve of the function for c = 0 can be found by setting f(x, y) = 0.

Therefore,

ln(3x + y) = 0

We know that ln eˣ = x, where e is a constant known as Euler's number.

Therefore, ln(3x + y) = 0 ⇒ e⁰ = 3x + y, which gives 3x + y = 1 as the level curve.

(b) We are given the function g(x, y) = x/x^2 + y^2.

We need to find the level curve of the function for the given c-value. Here, c = − 1/2.

Now, the level curve of the function for c = − 1/2 can be found by setting g(x, y) = − 1/2.

Therefore, x/x² + y² = − 1/2

Multiplying both sides by x² + y², we get

x = − x²/2 − y²/2

Rearranging the terms, we get

x² + 2x/2 + y²/2 = 0

Adding 1/2 on both sides, we get

x² + 2x/2 + y²/2 + 1/2 = 1/2

Simplifying, we get

(x + 1)² + y² = 1

Now, the given equation represents a circle with a center at (-1, 0) and a radius 1. Therefore, the name of the curve is a circle.

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Answer:

Yes

Step-by-step explanation:

2B+B=3b and 3b and 3b are the same.

Thus, they have the same value

Answer:

40

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

it's going up by 3. jjjj

The required answer is  Kathy's probability of having exactly two sons if she were to have four children altogether is 3/8 or 0.375.

Assuming that boy and girl babies are equally likely, the probability of having a boy is 1/2 and the probability of having a girl is also 1/2. To find the probability of Kathy having exactly two sons if she were to have four children altogether, we will use the binomial probability formula:
P(X = k) = (n! / (k!(n-k)!)) * (p^k) * (q^(n-k))
where:
- n is the total number of trials (in this case, 4 children)
- k is the number of successful trials (in this case, 2 sons)
- p is the probability of success (having a boy, which is 1/2)
- q is the probability of failure (having a girl, which is also 1/2)

Applying the formula:
P(X = 2) = (4! / (2!(4-2)!)) * (1/2)^2 * (1/2)^(4-2)
Calculating the factorials and probabilities:
P(X = 2) = (24 / (2 * 2)) * (1/4) * (1/4)
Simplifying:
P(X = 2) = (6) * (1/4) * (1/4)
The probability of Kathy having exactly two sons if she were to have four children altogether can be calculated using the binomial probability
Multiplying the values:
P(X = 2) = 6/16
Reducing the fraction:
P(X = 2) = 3/8
So, Kathy's probability of having exactly two sons if she were to have four children altogether is 3/8 or 0.375.

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Average waiting time for FCFS: 8.75

Average waiting time for SJF: 4.75

To solve this scheduling problem using FCFS (First-Come, First-Served) and SJF (Shortest Job First) algorithms, let's go step by step:

Schedule order for FCFS:

The FCFS algorithm schedules processes based on their arrival time. So, the schedule order for FCFS is as follows:

Pl -> P2 -> P3 -> P4

Average waiting time for FCFS:

To compute the average waiting time for FCFS, we need to calculate the waiting time for each process and then take the average.

Process | Arrival Time | Running Time | Waiting Time

Pl | 0 | 3 | 0

P2 | 3 | 10 | 3

P3 | 4 | 6 | 13

P4 | 5 | 1 | 19

Average waiting time = (0 + 3 + 13 + 19) / 4 = 8.75

Therefore, the average waiting time for FCFS is 8.75.

Schedule order for SJF:

The SJF algorithm schedules processes based on their running time. The process with the shortest running time gets executed first. If multiple processes have the same running time, the process with the earliest arrival time is selected first. The schedule order for SJF is as follows:

Pl -> P4 -> P3 -> P2

Average waiting time for SJF:

To compute the average waiting time for SJF, we need to calculate the waiting time for each process and then take the average.

Process | Arrival Time | Running Time | Waiting Time

Pl | 0 | 3 | 0

P4 | 5 | 1 | 3

P3 | 4 | 6 | 6

P2 | 3 | 10 | 10

Average waiting time = (0 + 3 + 6 + 10) / 4 = 4.75

Therefore, the average waiting time for SJF is 4.75.

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The value of abc, rounded to the nearest tenth, is approximately 2.4.

To solve for the variable "abc" with given values of b = 63, a = 29, and c = 38, we can use the formula abc = (a + b) / c.

Substituting the given values into the formula, we get:

abc = (29 + 63) / 38

Simplifying the numerator, we have:

abc = 92 / 3

Now, let's divide 92 by 38 to find the value of abc:

abc ≈ 2.42105263158

Rounding to the nearest tenth, we get:

abc ≈ 2.4

Therefore, the value of abc, rounded to the nearest tenth, is approximately 2.4.

It's worth noting that the calculation assumes that "abc" is a single variable, as stated in the question. However, if "abc" is meant to represent the product of three variables (a, b, and c), the calculation would be different. In that case, the formula would be abc = a * b * c, and the solution would be abc = 29 * 63 * 38 = 678,954. However, without further context, it's difficult to determine the intended interpretation of "abc" in this case.

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Answer:

3% annually

Step-by-step explanation:

Answer:

3%

Step-by-step explanation:

I know this becaus the teacher helped me

The critical value of z separates the rejection region from the nonrejection region while observed value of z is the value calculated for a sample statistic such as x.

A critical value of z is used when the sampling distribution is normal, or close to normal. The critical value of z refers to the point that cuts off area under graph for the standard normal distribution separating the rejection and nonrejection region of the data. The Critical value of z can indicate what probability any particular variable will have. These values are typically obtained from a table such as the standard normal distribution table. The observed value of z is a value determined for a sample statistic x. It is a test statistic for Z-tests that measures the difference between an observed statistic and its hypothesized population parameter in units of the standard deviation.

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Answer:

$23.13

Step-by-step explanation:

in total they would need to pay $23.13

Answer:

$27.41

Step-by-step explanation:

Meal Cost = $86.50

Sales Tax= 6.75% of the Meal Cost

= 6.75% X 86.50

= 0.0675 X 86.50

=$5.84

They tipped the Waiter 20%

20% of 86.50

=0.2 X 86.50

=$17.30

Total Bill= Meal Cost + Sales Tax + Tip

= 86.50 +5.84 + 17.30

=$109.64

Since the friends are four, each one will be expected to pay:

$109.64/4

=$27.41

Hope this helps because the other person didn't give the right answer!

The formula for a line segment is:

segment = √((x2 - x1)^2 + (y2 - y1)^2)

1. Calculate the difference between the x-coordinates: x2 - x1

2. Square the result of step 1: (x2 - x1)^2

3. Calculate the difference between the y-coordinates: y2 - y1

4. Square the result of step 3: (y2 - y1)^2

5. Add the results of step 2 and step 4: (x2 - x1)^2 + (y2 - y1)^2

6. Calculate the square root of the result of step 5: √((x2 - x1)^2 + (y2 - y1)^2)

This final result is the length of the line segment.

The formula for a line segment is relatively straightforward. Begin by calculating the difference between the x-coordinates (x2 - x1) and square the result. Then find the difference between the y-coordinates (y2 - y1) and square the result. Add the two results together and take the square root of the sum. This final result is the length of the line segment. This formula can be used to calculate the length of any line segment, regardless of its size or shape.

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Answer:

Step-by-step explanation:

Answer:

x and y can be any two numbers greater than zero such that y is also greater than x

D.no more than 45

C.50 miles per hour

Step-by-step explanation:

Let the two numbers be such that x< y because we have been given y/x>1 and x/y< 1 .

Suppose we take y= 9 and x= 3 then

9/3 > 1

3>1

Also

3/9 < 1

1/3 < 1

x and y can be any two numbers greater than zero such that y is also greater than x

2. Total weight that can be carried is 3000 pounds.

The big machine is 300 pounds. The weight that the truck can carry beside the big machine is 3000-300= 2700 pounds.

The smaller machines weigh 60 pounds

The number of smaller machines that can be carried is 2700 ÷ 60= 45 other than the big machine.

3. Total distance = Speed * time

                           = 48 * (40/60) = 32 miles

New distance = 32+ 8= 40 miles

New time = 48 minutes

Speed = distance / time = 40/ 48/60=  50 miles per hour

By considering the graph, Jade's rate will be 8 dollars profit per kilogram sold.

Since profit is a function of kilograms sold, x is the kilograms sold and y is the profit.

Two points of the line are (35, 0) and (60, 200).

The Rate or slope is given by:

m = y2 - y1/x2 - x1

m = 200 - 0 / 60 -35

m = 200 / 25

m = 8

Therefore, Jade's rate is 8 dollars profit per kilogram sold.

The translated question is "Jada sells ground paprika. Her weekly profit (in dollars) as a function of the amount of paprika she sold that week (in kilograms) is graphed. What is Jade's rate? "

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The number that corresponds to the null hypothesis and the alternative hypothesis will be 3 and 6 respectively.

Specify the correct number from the list below that corresponds to the appropriate null and alternative hypotheses for this problem.

It should be noted that the null hypothesis suggests that there's no statistical relationship between the variables.

The alternative hypothesis is different from the null hypothesis as it's the statement that the researcher is testing.

In this case, the number that corresponds to the null hypothesis and the alternative hypothesis will be 3 and 6 respectively.

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The relation c has the reflexive, symmetric, and transitive properties.

The relation c defined on the set of all people has the following properties:

1. Reflexive property:

For every person x, x is related to itself. This is because every person shares at least one common interest with themselves.

2. Symmetric property:

If x is related to y, then y is related to x. This is because if x and y share a common interest, then y and x also share that same common interest.

3. Transitive property:

If x is related to y, and y is related to z, then x is related to z. This is because if x and y share a common interest, and y and z also share a common interest, then x and z will also share that same common interest.

1. Reflexive property:

To check if a relation is reflexive, we need to verify if every element in the set is related to itself. In this case, since every person shares at least one common interest with themselves, the relation is reflexive.

2. Symmetric property:

To check if a relation is symmetric, we need to verify if for every pair (x, y) in the relation, (y, x) is also in the relation. In this case, if x and y share a common interest, then y and x will also share that same common interest, making the relation symmetric.

3. Transitive property:

To check if a relation is transitive, we need to verify if for every three elements x, y, and z in the relation, if (x, y) and (y, z) are in the relation, then (x, z) is also in the relation. In this case, if x and y share a common interest, and y and z also share a common interest, then x and z will also share that same common interest, making the relation transitive.

So, the relation c has the reflexive, symmetric, and transitive properties.

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