Which pair of ratios forms a proportion ?
Answer choices:
A. 2/3 and 4/9 B. 5/15 and 4/12; C. 4/12 And 6/24 D. 1/9; and 9/10

The bijection could be defined from the set of numbers and it is proved.

We can define a bijection f from S to T as follows: for any integer x in S, let f(x) = x + 1.

To show that f is a bijection, we need to prove that it is both injective and surjective.

To prove that f is injective, suppose f(x) = f(y) for some x, y in S. Then x + 1 = y + 1, which means x = y. Thus, f is injective.

To prove that f is surjective, let y be an arbitrary element of T. Since y is odd, we can write y = 2n + 1 for some integer n. Now consider the element x = 3n in S. We have f(x) = x + 1 = 3n + 1 = y, so f is surjective.

Therefore, f is a bijection from S to T, so |S| = |T|.

Learn more about Bijection at:

brainly.com/question/13837935

#SPJ4

(A) r = v^2/g*1/tanΘ = v^2/gtanΘ

(B) r = 255.102 m

Moreover, When simplifying trigonometric expressions, one approach is to change everything to sine or cosine. First, we can change the secant to cosine using the Reciprocal Identity. Now combine the denominators into one fraction by multiplying by 1.

You can learn more about this through link below:

https://brainly.com/question/2922526#SPJ4

Based on the amount that Nick is left with at the end of the month, the amount he earns is $2,400

The amount of $300 that is left is 25% of 50% of Nick's income as the other 75% of the 50% went to paying for the car and other expenses.

25% of 50% is:

= 25% x 50%

= 12.5%

The amount Nick makes per month is:

= Amount remaining / Amount remaining in percentage terms

= 300 / 12.5%
= $2,400

Find out more on percentages at https://brainly.com/question/843074

#SPJ1

Answer:

E. 128°

Step-by-step explanation:

We have the inequality:

-4 < (3x - 2)/5 ≤ 6

We multiply all the sides by 5:

-4*5 < 5*(3x - 2)/5 ≤ 6*5

-20 < 3x - 2 ≤ 30

Now, we add 2 to all the sides of the inequality:

-20 + 2 < 3x - 2 + 2 ≤ 30 + 2

-18 < 3x ≤ 32

Finally, we divide by 3:

-18/3 < 3x/3 ≤ 32/3

-6 < x < 32/3

Now, using interval notation:

x = (-6, 32/3]

This means that x takes all the values greater than -6 and less or equal to 32/3. Graphically, this is:

Answer:

12

Step-by-step explanation:

Using formula

distance = \(\sqrt{ (y2 - y1)^{2} + (x2- x1)^2}\)

Then input the values:

Distance = \(\sqrt{ (0 - 0)^{2} + (-8- 4)^2}\)

               = \(\sqrt{0 + 144}\)

               = 12

Given are two values.

Let :-

\(4 = {x}^{1} \)

\(0 = {y}^{1} \)

\( - 8 = {x}^{2} \)

\(0 = {y}^{2} \)

By distance formula,

\( \sqrt{ ({x}^{2} - {x}^{1})^{2} + ( {y}^{2} - {y}^{1})^{2} }\)

\( \sqrt{ (- 8 - 4)^{2} + (0 - 0) ^{2} } \)

\( \sqrt{( - 12)^{2} + 0^{2} } \)

\( \sqrt{144 + 0} \)

\( 12\)

Therefore, the distance is 12

Answer:

y= 6x + 5 (I dont know if that's what you are looking for but I'm pretty sure that's the correct answer )

Step-by-step explanation:

you have to get y on the other side by its self

6x - y = -5

subtract 6 x from both sides

-y = -6x - 5

divide by -1

y = 6x +5

Answer:

y = 3x + 1

Step-by-step explanation:

y = mx + b

The slope, or m, is 3.

The y-intercept, or y, is 1.

Plug them into the equation.

y = mx + b

y = 3x + 1

Answer:

\(\frac{x}{y}\) = 4

Step-by-step explanation:

Expressing in fractional form, that is

\(\frac{4x-y}{2x+y}\) = \(\frac{5}{3}\) ( cross- multiply )

3(4x - y) = 5(2x + y) ← distribute both sides

12x - 3y = 10x + 5y ( subtract 10x from both sides )

2x - 3y = 5y ( add 3y to both sides )

2x = 8y ( divide both sides by 2 )

x = 4y ( divide both sides by y )

\(\frac{x}{y}\) = 4

Answer:

\( \boxed{ \frac{x}{y} = 4}\)

Step-by-step explanation:

\(if \: \frac{4x-y}{2x+y}=\frac{5}{3}, \: then \: \frac{x}{y} = : \\ 3(4x - y) = 5(2x + y) \\ 12x - 3y = 10x + 5y \\ 2x = 8y \\ \frac{2x}{y} = 8 \\ \frac{x}{y} = 4\)

Answer:

jshshdgdjhdhdudhjsvdjfhhdd

Answer:

223$

Step-by-step explanation:

318.50×30% =95.5

discount= 95.5

new bill= 223$

Answer:

x=10

Step-by-step explanation:

By using metric conversion concept, it can be concluded that it would take approximately 83,084 sheets of standard notebook paper to cover a football field.

Metric Conversion refers to the conversion of the given units to desired units for any quantity to be measured.

For example, to convert 5 meters to centimeters, a conversion factor is required. Thus, the conversion factor is “multiplying by 100”.

To determine the number of sheets of standard notebook paper it would take to cover a football field, we need to use measurement to calculate the area of both the football field and the notebook paper.

First, let's calculate the area of the football field:

The area of the football field = 50 x 120

                                                = 6,000 square yards.

Next, we need to convert the measurement of the notebook paper from inches to yards, where the length in yards is equal to the inches divided by 36.

8.5 in = 0.236 yard

11 in = 0.306 yard

The area of the notebook paper = 0.236 x 0.306

                                                      = 0.072216 square yards.

Finally, we can divide the area of the football field by the area of the notebook paper to determine the number of sheets it would take to cover the field to get the number of sheets of notebook paper:

Number of sheets of notebook paper = 6,000 / 0.072216

                                                               = 83,084.08 sheets of notebook paper.

Therefore, it would take approximately 83,084 sheets of standard notebook paper to cover a football field.

To learn more about metric conversion, click here: https://brainly.com/question/30360455

#SPJ11

The university grew at an average percentage rate of approximately 15.36% per year.

1. In order to find the average percentage growth rate, we will use the formula for geometric mean growth rate:
Growth Rate = ((Ending Value / Starting Value)^(1 / Number of Years)) - 1
2. In this case, the starting value is 1,200 students, the ending value is 5,200 students, and the number of years is 10.
Growth Rate = ((5,200 / 1,200)^(1 / 10)) - 1
3. Calculate the values:
Growth Rate = (4.3333^(1 / 10)) - 1
Growth Rate = 1.1536 - 1
Growth Rate = 0.1536
4. Convert the decimal to a percentage:
Growth Rate = 0.1536 * 100 = 15.36%

Hence, Based on the geometric mean, the local university grew at an average percentage rate of approximately 15.36% per year over the 10-year period.

learn more about geometric mean click here:

https://brainly.com/question/28562725

#SPJ11

In conclusion, we can use the if-else statement in Python to create a new variable with a value of 1 if the customer's predicted probability is greater than or equal to the breakeven response rate and 0 otherwise.

Given a prediction probability and a breakeven response rate, we need to create a new variable that takes the value of 1 if the customer's predicted probability is greater than or equal to the breakeven response rate and 0 otherwise. We can create this variable using an if-else statement in Python.The code to create the new variable "target" is as follows:```python

if predicted_prob >= breakeven_response_rate:

   target = 1

else:

   target = 0

```Where `predicted_prob` is the predicted probability of a customer responding to a marketing campaign, and `breakeven_response_rate` is the minimum response rate required for the campaign to break even. If `predicted_prob` is greater than or equal to `breakeven_response_rate`, `target` is set to 1. Otherwise, it is set to 0. This ensures that the new variable takes the value of 1 only for those customers who are likely to respond to the campaign, and 0 for those who are not likely to respond. The use of `if-else` statement helps us to create a logical condition that evaluates the predicted probability with the breakeven response rate.In conclusion, we can use the if-else statement in Python to create a new variable with a value of 1 if the customer's predicted probability is greater than or equal to the breakeven response rate and 0 otherwise. The code provided above uses this approach to create the variable "target". The length of the answer is 150 words.

To know more about probability,

https://brainly.com/question/13604758

#SPJ11

0.8 cubic feet is closest to the number of cubic feet of water needed to fill the fish tank.

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

To find the number of cubic feet of water needed to fill the fish tank

we need to first convert the dimensions of the tank from inches to feet.

since the conversion factor between cubic inches and cubic feet is 1,728.

Length in feet = 20 inches ÷ 12 inches/foot

= 1.67 feet

Height in feet = 12 inches ÷ 12 inches/foot

= 1 foot

Width in feet = 6 inches ÷ 12 inches/foot

= 0.5 feet

The volume of the fish tank in cubic feet is:

Volume = length × height × width = 1.67 feet × 1 foot × 0.5 feet = 0.835 cubic feet

Hence,  the number of cubic feet of water needed to fill the fish tank is 0.8 cubic feet, Option A is correct.

To learn more on Three dimensional figure click:

https://brainly.com/question/2400003

#SPJ2

2057 smartphone users bought something after searching for information. The standard error of the proportion (SE) measures variability in the estimated proportion and assesses estimate precision. The standard error of a proportion formula can be used to compute SE. 4024 smartphone users participated in this poll.

The count X is the number of smartphone users who reported purchasing an item after using their smartphones to search for information about it. In this case, X is given as 2057.

To calculate the standard error of the proportion (SE), we need to know the sample size (n) and the proportion (p) of smartphone users who made a purchase after searching for information. The formula for SE of a proportion is:

SE = sqrt((p * (1 - p)) / n)

Since the proportion is not given directly, we can estimate it by dividing X (the count) by the sample size (n):

p = X / n

Substituting the values, we can calculate SE:

SE = sqrt((2057/4024) * (1 - 2057/4024) / 4024)

After performing the calculations, we find that the standard error (SE) is a decimal value. To report it accurately, we round it to three decimal places.

The sample size (n) for this survey is provided in the question as 4024. This represents the total number of smartphone users who participated in the study and responded to the questions.

Learn more about proportion here:

https://brainly.com/question/31548894

#SPJ11

The limit of the given function is  π/2.

What is a limit?

A limit in mathematics is the value that a function gets closer to when the input gets closer to a certain value. Calculus and mathematical analysis are not possible without limits, which are also required to determine continuity, derivatives, and integrals.

Here, we have

Given: \(\lim_{(x,y) \to \pi, \pi /2} y sin(x-y)\)

We have to find the limit of the given function.

=  \(\lim_{(x,y) \to \pi, \pi /2} y sin(x-y)\)

Now, we substitute the value of each variable.

x = π and y = π/2

= y sin(x-y)

= π/2sin(π-π/2)

= π/2sinπ/2

= π/2sin(90°)   (∴sin90° = 1)

= π/2×1

= π/2

Hence, the limit of the given function is  π/2.

To learn more about the limit from the given link

https://brainly.com/question/29013259

#SPJ4

The correct answer is 59%.

Division is a mathematical operation that involves dividing one number (the dividend) by another number (the divisor) to determine the quotient. Division can be used to solve problems involving fractions, decimals, and percentages. It is also used to simplify complex equations and to break down large numbers into smaller, more manageable parts. Division is one of the four basic operations of arithmetic, along with addition, subtraction, and multiplication.

Out of the 36 customers who purchased turkey sandwiches, 21 of them chose sourdough bread. 21 divided by 36 is 0.58333, which is equivalent to 59%.

To know more about division click-
https://brainly.com/question/25289437
#SPJ1

Mr. Adams divides 183 markers equally among the 24 students in his class. To find the least number of extra markers in the box, divide the total markers (183) by the number of students (24). The result is 7 with a remainder of 15. So, the least number of extra markers in the box is 15.

Mr. Adams divides 183 markers equally among the 24 students in his class, which means each student gets 7 markers. However, since 7 does not divide evenly into 183, there will be some markers left over. To determine the least number of extra markers in a box, we need to find the remainder when 183 is divided by 24.
Using long division, we get:

   24 | 183
       -----
         7  6
         -----          
This means that there are 6 markers left over that Mr. Adams puts in a box. Therefore, the least number of extra markers in a box is 6.
Mr. Adams divides 183 markers equally among the 24 students in his class. To find the least number of extra markers in the box, divide the total markers (183) by the number of students (24). The result is 7 with a remainder of 15. So, the least number of extra markers in the box is 15.

learn more about divide here :https://brainly.com/question/14758494

#SPJ11

Answer: 13/2 or 6 1/2

Step-by-step explanation:

6 × 1 + 5 × 1/10

6 + 5 x 1/10 <-- Reduce 5 and 10 in 1/10 by the GCF, 5

6 + 1/2

Use 2 as a common denominator so multiply 6 by 2

12/2 + 1/2

13/2 or 6 1/2

The t value will be the result that is  58.851995039

The t-statistic for the observed correlation coefficient of 0.951 can be calculated to determine if it is statistically significant. Using the T.INV() spreadsheet function and the appropriate degrees of freedom.

We can test the null hypothesis of no correlation at the 5% significance level. Additionally, the T.DIST() function can be used to calculate the p-value of the t-statistic.

To calculate the t-statistic, we need to know the sample size (n) and the observed correlation coefficient (r). In this case, we have 37 monthly observations and a correlation coefficient of 0.951. The t-statistic can be calculated using the formula t = r x sqrt((n - 2) / (1 - r^2)). Plugging in the values, we find t = 0.951 x sqrt((37 - 2) / (1 - 0.951^2)).

By comparing this t-statistic to the critical value at the desired significance level (5% in this case), we can determine if the null hypothesis of no correlation can be rejected. Additionally, the p-value can be calculated using the T.DIST() function to determine the probability of obtaining a t-statistic as extreme as the observed value. If the p-value is less than the chosen significance level, the null hypothesis can be rejected.

Learn more about Correlation here:

brainly.com/question/30116167

#SPJ11

Answer:             5

Step-by-step explanation: because

Answer:

a) 5/2

b) 1/3

Step-by-step explanation:

a) 3y-2x=5 to find the value of y let we replace x by 0

then solve it

Answer:

(a) y = 2/3x + 5/3

(b) y = 1/3

Step-by-step explanation:

(a) Make y the subject of 3y - 2x = 5

3y - 2x = 5

    + 2x + 2x ==> isolate the variable y, by adding 2x to both sides

3y = 2x + 5 ==> divide both sides by three

/3       /3

y = 2/3x + 5/3 ==> y now becomes the subject, or our final answer

(b) Using 3y - 2x = 5 or y = 2/3x + 5/3,  find the value of y when x= -2

y = 2/3x + 5/3

y = 2/3(-2) + 5/3 ==> substitute -2 for x

y = -4/3 + 5/3 ==> add the fractions

y = 1/3 ==> the value of y, our final answer

OR

3y - 2x = 5

3y - 2(-2) = 5 ==> substitute -2 for x

3y - (-4) = 5

3y + 4 = 5 ==> --4 makes a +4, the subtract 4 (-4) from both sides

     - 4  - 4

3y = 1 ==> divide both sides by 3

/3    /3

y = 1/3 ==> your final answer

Hope this helps!

The fraction of crayons that are blue triangle is 1/5.

The ratio of blue rounds to non-blue crayons is

The fraction of footballs that are brown rubber footballs is 8/15 and here are 4 times as many rubber footballs as non-rubber footballs

A fraction represents a part of a whole.

1. Let's say Alexa had a total of 5x crayons in the bag.

the number of blue crayons in the bag is 2x,

There is one triangle for every two round crayons,

(1/2) × 2x = x (By condition)

So, the fraction of crayons that are blue triangle is x / 5x = 1/5.

The number of blue round crayons is 2x.

The number of non-blue crayons is 5x - 2x = 3x,

The ratio of blue rounds to non-blue crayons is 2x / 3x = 2/3.

2.

4 out of 5 wall footballs are rubber, 4/5 of the footballs in the bag are rubber.

The fraction of rubber footballs that are brown is 2/3.

The fraction of footballs that are brown rubber footballs is (4/5) × (2/3) = 8/15.

The fraction of non-brown rubber footballs is (4/5) - (8/15) = 4/15.

The ratio of rubber footballs to non-rubber footballs is (4/5) / (1/5) = 4.

So there are 4 times as many rubber footballs as non-rubber footballs

Hence,  the fraction of crayons that are blue triangle is 1/5.

The ratio of blue rounds to non-blue crayons is

The fraction of footballs that are brown rubber footballs is 8/15 and here are 4 times as many rubber footballs as non-rubber footballs

To learn more on Fractions click:

https://brainly.com/question/10354322

#SPJ1

"Downloads" folder. Double-click the downloaded file to start the installation process. Follow the instructions on the screen to complete the installation of the program on your computer.

Follow these instructions to download a piece of software. Locate the official website for the programme you wish to download first. then scan that page for a download button or link.

To begin downloading the file, click the download link or button. Find the downloaded file on your computer after the download is finished. Normally, it is kept in the "Downloads" folder. To begin installing the downloaded file, double click it.

To finish installing the programme on your computer, adhere to the instructions displayed on the screen. Before you start the installation, ensure sure you have the activation or licence key available if the programme does.

Ready! The software programme should now be downloaded and installed on your computer.

Finally, to install the programme on your computer, open the downloaded file and follow the on-screen directions. Always keep cyber security in mind when downloading any programme, and only download from reputable sites!

for more  such questions on installation   visit

https://brainly.com/question/14510368

#SPJ8