PLEASE HELP ON #2!! i am so lost

The inverse of the function is y = ( 1/5 )x - 6.

An expression, rule, or law in mathematics that establishes the relationship between an independent variable and a dependent variable. In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

Consider the function,

y = 5x + 30

To find the inverse of the function we interchange x and y then find the equation for y.

Therefore, after interchanging x and y:

x = 5y + 30

Subtracting 30 from each side of the equation.

x - 30 = 5y + 30 - 30

x - 30 = 5y

Now, dividing the whole equation by 5

( x - 30 ) / 5 = 5y / 5

y = ( 1/5 )x - 30/ 5

y = ( 1/5 )x - 6

Therefore, the inverse of the function y = 5x + 30 is y = ( 1/5 )x - 6.

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For a straight path, simply measure its length; for a circular path, use the formula 2πr (where r is the radius).

After calculating the length. To determine the length of the path to the nearest foot, you will need to measure the distance from the starting point to the end point using a measuring tool such as a tape measure or a ruler.

The distance should be measured in a straight line between the two points. If the path is curved or has multiple turns, you may need to use a more complex measuring tool such as a surveyor's wheel or GPS device. Once you have the distance, you can round it to the nearest foot using standard rounding rules. This will give you an approximate length of the path to the nearest foot.

Usually, this involves knowing the shape of the path, such as straight, circular, or curved, and any relevant dimensions, such as length, width, or radius. Once you have this information, apply the appropriate mathematical formula to calculate the length.

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Answer:

Answer:

3) -82 4)-70 5) -15 6)-14 7)5 8)15 9)16 10)16 11)64 12)21 13)1500 in the middle 14)450

Step-by-step explanation:

Based on the evaluation of the conditions, the output "x < 0 and z > 0" will be printed. Therefore, the correct answer is B. x < 0 and z > 0.

The correct indentation of the statement would be as follows:

if (x > 0)

if (y > 0)

System.out.println("x > 0 and y > 0");

else if (z > 0)

System.out.println("x < 0 and z > 0");

Given that x = 1, y = -1, and z = 1, let's evaluate the conditions:

The first if statement checks if x > 0, which is true since x = 1.

Since the condition in the first if statement is true, we move to the inner if statement, which checks if y > 0. However, y = -1, so this condition is false.

The inner if statement is followed by an else if statement that checks if z > 0. Since z = 1, this condition is true.

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To find the base of the parallelogram-shaped patio, we need to use the formula for the area of a parallelogram: A = bh, where A is the area, b is the base, and h is the height. We know that the area of the patio is 580 ft2, so we can set up the equation:

580 = b * h

However, we don't know the height of the parallelogram, so we need to find it first. We can use the formula for the area of a trapezoid (which is a type of parallelogram) to find the height:

A = (b1 + b2) * h / 2

Since we know that the patio is in the shape of a parallelogram, we know that the opposite sides are parallel and equal in length, so we can divide the patio into two triangles and use the Pythagorean theorem to find the height:

h = sqrt(16^2 - (b/2)^2)

where b is the base of the parallelogram (which we're trying to find). Plugging this into the equation for the area of a trapezoid, we get:

580 = (b + b) * sqrt(16^2 - (b/2)^2) / 2

Simplifying this equation (by squaring both sides and rearranging), we get a quartic equation:

16b^4 - 580b^2 + 2304 = 0

This can be factored as:

(b - 24)(b + 24)(b - sqrt(165) / 2)(b + sqrt(165) / 2) = 0

The only positive solution (since the base of the patio can't be negative) is:

b ≈ 24.023

Rounding this to the nearest foot, we get:

b ≈ 24 ft

Therefore, the base of the parallelogram-shaped patio is approximately 24 feet.

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The height of the cat is solved to be

4 m

This is a term used in geometry to mean that the respective sides of the triangles are proportional and the corresponding angles of the triangles are congruent

Examining the figure shows that pair of equivalent sides are

distance of the tree and the cat from the mirror

then height of the tree and height of the cat

The solution is worked out taking the proportions

distance of the tree from the mirror / distance of the cat from the mirror

=

height of the tree / height of the cat

plugging in the values

24/6 = 16 / height of the cat

height of the cat  = 16 * 6 / 24

height of the cat  = 4 m

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a) By strong induction, any amount of postage worth 8 cents or more can be made from 3-cent or 5-cent stamps.

b) By strong induction, any amount of postage worth 24 cents or more can be made from 7-cent or 5-cent stamps.

c) By strong induction, any amount of postage worth 12 cents or more can be made from 3-cent or 7-cent stamps.

a. Prove that any amount of postage worth 8 cents or more can be made from 3-cent or 5-cent stamps.

Base case: For postage worth 8 cents, we can use two 4-cent stamps, which can be made using a combination of one 3-cent stamp and one 5-cent stamp.

Induction hypothesis: Assume that any amount of postage worth k cents or less, where k is greater than or equal to 8, can be made from 3-cent or 5-cent stamps.

Induction step: Consider any amount of postage worth (k+1) cents. Since k is greater than or equal to 8, we can use the induction hypothesis to make k cents using 3-cent or 5-cent stamps. Then, we can add one more stamp to make (k+1) cents. If the last stamp we added was a 3-cent stamp, we can replace it with a 5-cent stamp to get the same value. If the last stamp we added was a 5-cent stamp, we can replace it with two 3-cent stamps to get the same value. Therefore, any amount of postage worth (k+1) cents can be made from 3-cent or 5-cent stamps.

b. Prove that any amount of postage worth 24 cents or more can be made from 7-cent or 5-cent stamps.

Base case: For postage worth 24 cents, we can use three 8-cent stamps, which can be made using a combination of one 7-cent stamp and one 5-cent stamp.

Induction hypothesis: Assume that any amount of postage worth k cents or less, where k is greater than or equal to 24, can be made from 7-cent or 5-cent stamps.

Induction step: Consider any amount of postage worth (k+1) cents. Since k is greater than or equal to 24, we can use the induction hypothesis to make k cents using 7-cent or 5-cent stamps. Then, we can add one more stamp to make (k+1) cents. If the last stamp we added was a 5-cent stamp, we can replace it with two 7-cent stamps to get the same value. If the last stamp we added was a 7-cent stamp, we can replace it with three 5-cent stamps to get the same value. Therefore, any amount of postage worth (k+1) cents can be made from 7-cent or 5-cent stamps.

c. Prove that any amount of postage worth 12 cents or more can be made from 3-cent or 7-cent stamps.

Base case: For postage worth 12 cents, we can use one 3-cent stamp and three 3-cent stamps, which can be made using a combination of two 7-cent stamps.

Induction hypothesis: Assume that any amount of postage worth k cents or less, where k is greater than or equal to 12, can be made from 3-cent or 7-cent stamps.

Induction step: Consider any amount of postage worth (k+1) cents. Since k is greater than or equal to 12, we can use the induction hypothesis to make k cents using 3-cent or 7-cent stamps. Then, we can add one more stamp to make (k+1) cents. If the last stamp we added was a 3-cent stamp, we can replace it with two 7-cent stamps to get the same value. If the last stamp we added was a 7-cent stamp, we can replace it with one 3-cent stamp and two 7-cent stamps to get the same value. Therefore, any amount of postage worth (k+1) cents can be made from 3

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Answer:

- x - y

-(-12) -(2)

12-2

10 the answer is D

The standard deviation of the monthly amount charged is 346.41

Step 1: Identify the values of a and b, where [a , b] is the interval over which the continuous uniform distribution is defined.

Since it takes between 300 and 1500 minutes to be seated at the restaurant, we have:

a = 300

b = 1500

Step 2: Calculate the variance using the formula Var(x) = \(\frac{(b-a)^{2} }{12}\)

Using the formula for the variance and the values identified in step 1

(a = 300 , b = 1500), we have:

Var(x) = \(\frac{(b-a)^{2} }{12}\)

         = \(\frac{(1500 - 300)^{2} }{12}\)

         = 1440000/12

         = 120,000

the variance is 120,000

Step 3: Calculate the standard deviation by taking the square root of the variance. σ = \(\sqrt{Var(x)}\)

The standard deviation is the square root of the result from step 2 (variance = 120,000)

σ = \(\sqrt{Var(x)}\)

σ = \(\sqrt{120000}\)

   = 346.41

The standard deviation of the monthly amount charged is 346.41

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A sampling distribution is the probability distribution of a statistic for all random samples of n observations from a population. The term "sampling distribution" refers to the probability distribution of a statistic, such as the mean or standard deviation, that arises from random sampling of a fixed-sized sample from a population.

It is essential to understand this concept because it allows us to make inferences about the population parameter using information from the sample statistic. The standard deviation of the sampling distribution is known as the standard error of the statistic, and it measures how much the statistic varies across all possible samples of the same size from the population. In short, the sampling distribution is a theoretical distribution that helps us to understand the properties of the statistic and make inferences about the population parameter based on sample data.

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Answer:

i cant see it

Step-by-step explanation:

Answer:2

Step-by-step explanation:

Answer:

5 ft/sec

Step-by-step explanation:

I don't see a question, but I'll assume it wants the speed of the scooter, in feet/sec.

(30 feet0/(2 seconds) = 15 ft/sec

Answer:    she gets 540

Step-by-step explanation:

   She earns 540 dollars since the saleswoman only gets 9% of it and she sold $6000 dollars worth of merchandise you divide by percentage

 Example:  1. Find the percentage of the original or real number. In this case, it's 500.

2. Multiply the final number by 100. 500 x 100 = 50,000.

3. Divide the result of the multiplication by the percentage. 50,000 divided by 40% = 1,250. Thus, 500 is 40% of 1,250.

Data categorization is a process of organizing and grouping data into meaningful classes or categories.

This process is often used to simplify data and make it easier to understand and analyze. Data categorization involves breaking down a large set of data into smaller, more manageable groups. For example, a company may group customers into categories based on their age, income, or location. Each group can then be analyzed separately to better understand customer behavior. Categorizing data can also help identify trends or patterns that may not be visible when looking at the data as a whole. Categorization can also be used to identify outliers or anomalies in the data. By breaking down the data into smaller groups, it becomes easier to see which elements don’t fit the pattern or are not part of the normal range. Categorizing data can be done using a variety of methods. For example, data can be divided into numerical ranges or grouped into categories such as low, medium, and high. Data can also be grouped using descriptive terms, such as customer type or product type. Once the data is categorized, calculations such as averages, medians, and modes can be used to analyze the data. This can help to identify patterns or trends that can be used to make decisions or draw conclusions.

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R is right-total if and only if R−1 is left-total since there exists s ∈ S such that (s,t) ∈ R−1, since (s,t) ∈ R−1 if and only if (t,s) ∈ R and there exists t ∈ T such that (s,t) ∈ R, since (t,s) ∈ R if and only if (s,t) ∈ R−1 where R is a relation from S to T

Recall that a relation R from set S to set T is right-total if every element of S is related to some element of T, that is, for every s ∈ S, there exists t ∈ T such that (s,t) ∈ R.

On the other hand, a relation R from S to T is left-total if every element of T is related to some element of S, that is, for every t ∈ T, there exists s ∈ S such that (s,t) ∈ R.

First, suppose that R is right-total. Then, for any s ∈ S, there exists t ∈ T such that (s,t) ∈ R.

This means that for any t ∈ T, there exists s ∈ S such that (s,t) ∈ R−1, since (s,t) ∈ R−1 if and only if (t,s) ∈ R. Hence, R−1 is left-total.

Conversely, suppose that R−1 is left-total. Then, for any t ∈ T, there exists s ∈ S such that (s,t) ∈ R−1. This means that (t,s) ∈ R for some s ∈ S.

Hence, for any s ∈ S, there exists t ∈ T such that (s,t) ∈ R, since (t,s) ∈ R if and only if (s,t) ∈ R−1. Therefore, R is right-total.

In summary, we have shown that R is right-total if and only if R−1 is left-total.

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Answer:

$0.39

Step-by-step explanation:

First find the unit rate for store B ( $8.84/13)

At store B Artuto spends $0.68 for one bottle of apple juice

At store A they spent $0.29

0.68-0.29= 0.39

Answer:

Real interest rate= 3%

Step-by-step explanation:

Giving the following information:

Suppose you place $10,000 in a retirement fund that earns a nominal interest rate of 8 percent. The inflation rate is 5 percent.

The effect of the inflation rate on the interest rate is counterproductive. The inflation rate diminishes purchasing power.

Real interest rate= nominal interest rate - inflation rate

Real interest rate= 0.08 - 0.05= 0.03

Answer:

6+4*(5-3)

Step-by-step explanation:

Because of PEMDAS l, we first solve in the parantheses. So 5-3 would be 2, then we multiply 2 by 4 which would be 8 obviously. Then we do the final step, add 6 and 8 which would be 14. Cheers!

Answer: 6 + 4 × (5-3)

Explanation:

6 + 4 × (5-3) = 14

6 + 4 × 2 = 14

6 + 8 = 14

14 = 14

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The car was driven 105 miles.

What is rent?

An agreement where a fee is paid for the temporary use of a good, service, or property owned by another is known as renting, sometimes known as hiring, or letting.

In the given example the cost function is, c = 15 + 2m

Where, c is the total cost and m is the number of miles car driven.

The total cost was $225.

So, plug c = $225 in the above equation.

225 = 15 + 2m

210 = 2m

   m = 105

Therefore, the car was driven 105 miles.

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Answer: 105x-9

Step-by-step explanation:

Sorry love don’t feel like typing the explanation! :(

The customer can purchase 1.19788 pounds of cheese (approximately 1.2 pounds).

We are given with the cost of ham is $2.49 per pound and

Cost of swiss cheese is $3.79 per pound.

So, the cost of 2 pounds of ham will be given as-

= 2× $2.49

= $4.98

Since, the customer has a total of  $9.50 to spend on 2 pounds of ham and some cheese,

∴ Let the number of pounds of cheese she can purchase be x.

Then the equation will be this:

2.49*2 + 3.79*x = 9.50

4.98 + 3.79x = 9.50

Subtracting 4.98 from each side we get-

4.98 -4.98 + 3.79x = 9.50-4.98

3.79x = 4.54

x  \(=\frac{4.54}{3.79}\)

x = 1.19788 pounds of cheese (approximately 1.2 pounds).

Hence, the customer can purchase 1.19788 pounds of cheese (approximately 1.2 pounds).

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You will need amount of 1.5 cups of butter if you plan to use 3 cups of flour in your recipe.

To calculate how much butter is needed for 3 cups of flour in a recipe, start by identifying that the recipe requires a ratio of 1 cup of butter for every 2 cups of flour. To get the amount of butter needed for 3 cups of flour, multiply 1 cup of butter by 1.5. This will give you 1.5 cups of butter, which is the amount needed for 3 cups of flour.  Therefore, you will need 1.5 cups of butter if you plan to use 3 cups of flour in your recipe.  To ensure accuracy, it is recommended to measure the ingredients carefully and double check your calculations before proceeding.

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There are approximately 11.25 cups of granulated sugar in a 5 pound bag.

To determine the number of cups of granulated sugar in a 5 pound bag, we can use the conversion factor of 2.25 cups per pound.

First, we multiply the number of pounds (5) by the conversion factor:

5 pounds * 2.25 cups/pound = 11.25 cups

Therefore, there are approximately 11.25 cups of granulated sugar in a 5 pound bag.

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Answer:

5.33lb of candy

Step-by-step explanation:

First, you'd need to set up a proportion.

4 pounds         x poinds

----------- = -------------

9 dollars         12 dollars  

Then, cross multiply.

  9x = 4(12)

  9x = 48

    x = 48/9

And your answer is x = 5.33!

Hope I helped! ☺

Answer:We are given that 4 lb of candies are bought for $9.00

Therefore, the price of 1 lb of candies is:

9/4=2.25

Now the amount of candies that can bought for $12.00 is:

12/2.25=5.3333

Therefore, 5.3333 lb of candies can be bought for $12.00

Step-by-step explanation:

Ways can n identical balls be distributed into r bins such that each bin contains at least two balls are 20 ways.

1 ball in each of 3 boxes: 4 ways

3 balls in one box: 4 ways

2 balls in one box and 1 ball in another box: 3*4=12 ways

There are 20 ways to arrange the balls .

In mathematics, a combination is a way of selecting items from a collection where the order of selection does not matter. Suppose we have a set of three numbers P, Q and R. Then in how many ways we can select two numbers from each set, is defined by combination.

The combination can also be represented as: –nCr, nCr, C(n,r), Crn

Proof:

nPr = nCr.r!

= [n!/r!(n-r)!].r!

= n!/(n-r)!

Hence the theorem states true.

A permutation is an act of arranging objects or numbers in order. Combinations are the way of selecting objects or numbers from a group of objects or collections, in such a way that the order of the objects does not matter.

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Step-by-step explanation:

no this is a test I cant hlep i will tell ms.jules you are searching for the answers