What is the range of the function shown in this table?
X Y
3 4
4 4
5 2
6 5

A. (3, 4). (4, 4). (5, 2), (6, 5)
B. {2,4, 5}
C. (3, 4, 5, 6)
D. (3, 4)​

Answer:

  If the integer is in the range 1–15, then the weather could be declared rainy

Step-by-step explanation:

Assuming the integers are uniformly distributed 15 of them will constitute 30% of the possible integer. If the integer is in the range 1–15, then the weather could be declared rainy. That would make the probability of rain 30%, as required.

The length of line having mid point B ⇒  7x - 2.

Given that,

B is the mid point of AC

And also given that

length of segment AB = 2x+5

And length of segment BC = 5x - 7

A straight path established by linking a group of points in a plane is known as a line. It is a one-dimensional form with only a length and no width or height. A line can extend indefinitely in both ends in opposite directions. To indicate a line, we can use upper case characters.

Now since B is the mid point of AC,

So, The line AC is sum of the line segment AB and line segment BC.

Therefore,

AC = AB+BC

     = (2x+5)+(5x - 7)

     = 7x - 2

Hence,

The length of AC is 7x - 2

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The statement is asserting that the universal class (V) is defined as the collection of all sets, where every set is included. It signifies that V encompasses all possible sets within the given set theory framework.

The statement "The universal class set, or universe, is the class of all sets: V = {x: x = x}" is referring to the concept of the universal class or the universe in set theory.

In set theory, the universal class set, denoted as V, represents the collection or class that contains all sets. It includes every possible set that can be defined or exists within the context of the set theory being considered.

The notation "{x: x = x}" is used to define the elements of the universal class. Here, "x = x" represents a condition that is always true for any object or element, regardless of its nature. In other words, this condition holds for everything in the universe, as anything is equal to itself.

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Answer:

3/4 acre

Step-by-step explanation:

1 1/1 = 3/2

3/2 ÷ 2 = 3/2 × 1/2 = 3/4

Answer:

yes, 8

Step-by-step explanation:

Answer:

it goes into 4, 6 times

Step-by-step explanation:

\(\frac{2}{3}\)  ÷  \(4\)

Hope this helps

Answer:

they are perpendicular. If you want to check, go on desmos and put both equations there.

The unadjusted cost of goods sold for the year is calculated by subtracting the ending inventory from the sum of beginning inventory and purchases. The formula is as follows:

Unadjusted Cost of Goods Sold = Beginning Inventory + Purchases - Ending Inventory

Without knowing the values for beginning inventory, purchases, and ending inventory, we cannot compute the unadjusted cost of goods sold for the year.

5. Given that the $70,000 ending balance in Work in Process includes $24,000 of direct materials, we can calculate the missing information as follows:

Direct Labor = Total Work in Process - Direct Materials - Overhead
Direct Labor = $70,000 - $24,000 - Overhead

Without knowing the value for overhead, we cannot compute the direct labor cost. However, we can rearrange the formula to solve for overhead:

Overhead = Total Work in Process - Direct Materials - Direct Labor
Overhead = $70,000 - $24,000 - Direct Labor

Without knowing the value for direct labor, we cannot compute the overhead cost.

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Chris' gross pay for the week after selling computer equipment worth $17,000 is $2,600.

The gross pay is the addition of the base pay and the sales commission.

The sales commission is graduated and computed as follows:

Chris' base pay = $300

Sales Commissions:

First $5,000 = 10%

Above $5,000 = 15%

Last week's sales = $17,000

10% Commission = $500 ($5,000 x 10%)

15% Commission = $1,800 ($17,000 - $5,000 x 15%)

Total Commission = $2,300

Gross pay = Base Pay + Commission

= $2,600 ($300 + $2,300)

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The number of grams of cocoa is 50.9 grams

This is the mass of an object

Since we have that a chocolate bar contains 53% cocoa and the weight of the chocolate bar is 96 grams.

Let

So, we have that

x = pW

Given that

Substituting the values of the variables into the equation, we have that

x = pW

x = 0.53 × 96 grams

x = 50.88

x ≅ 50.9 grams

So, the number of grams of cocoa is 50.9 grams

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Answer:

Step-by-step explanation:

Given,

As we know that the all sides of the square are equal.

Length of a square paper = 12 cm

Area of square = ?

Now, let's find the area of square

\( = {l}^{2} \)

plugging the value of length,

\( {(12)}^{2} \)

Evaluate the power

\( = 144\) square cm

Hope this helps...

Best regards!!

Therefore , the solution of the given problem of expressions comes out to be it is 4 units between locations C and D.

Calculations like arbitrary division, joining, multiplication variable and removal are required. If they were merged, they would produce the following: A mathematical formula, some data, and an equation. A declaration of veracity is made up of values, elements, formulae, and mathematical operations like additions, subtractions, errors, and segments. It is possible to assess and analyse words and sentences.

Here,

We can apply the distance calculation to determine the separation between two points:

=> distance=  √((x2 - x1)² + y2 - y1)²)

where the coordinates for the two points are (x1, y1) and (x2, y2).

This formula allows us to determine the separation between points

C (6, -4) and D (6, -8) as follows:

=> distance = √[(6 - 6)^2 + (-8 - (-4))^2]

=> distance = √[0^2 + (-4)^2]

=> distance = √[16]

=> distance = 4

As a result, it is 4 units between locations C and D. Both of the available answer options are incorrect.

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Answer:

Step-by-step explanation:

Answer:

Option C

Step-by-step explanation:

Here degrees are

Highest degree=5✓

In standard form?

Answer:-2

Step-by-step explanation:

Log3(1/9)

Log(1/9) ➗ Log3

Log(1/3^2) ➗ Log3

Log3^(-2) ➗ Log3

-2Log3 ➗ Log3

-2(Log3 ➗ Log3)

-2

The solution of the expression by taking a log is, log₃ (1/9) = - 2

Used the formula for the logarithmic function,

log₃ (a)ⁿ = n log₃ (a)

log₃ (3) = 1

Given that,

The logarithmic function is,

log₃ (1/9)

It can be written as,

log₃ (3⁻²)

Since, log₃ (a)ⁿ = n log₃ (a)

So, we get;

- 2 log₃ (3)

- 2 × 1

- 2

Therefore, the solution is - 2.

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Answer:

3. B

Step-by-step explanation:

Answer: X = 21/6

Step-by-step explanation:

The angle is a 90 degree angle.

that means we know 21x+6=90

21x = 90-6

21x=84

x = 84/24

x = 21/6

x = 21/6

Answer: The answer is 171.2 Miles

Step-by-step explanation: You can easily find a "Horizon finder" online. It helps for harder equations like this.

Also I just realized that you put 171.20. When a question asks for a nearest tenth, only put the first digit of the decimal.

Using the expression 5x/12 = 20, the amount that A originally had was $48.

We have,

Let x be the amount of money that A originally had.

Then, A gave away 1/2 x 1/3 = 1/6 of the amount, which is equal to x/6.

The amount received by B is 1/2 of the remaining amount,

which is (x - x/6)/2 = 5x/12.

We know that 5x/12 = 20,

Solving for x.

5x/12 = 20

5x = 240

x = 48

Therefore,

The amount that A originally had was $48.

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Answer:

Pole^2 = 221^2 - 21^2

Pole^2 = 48,841 -441

Pole^2 = 48,400

Pole = 220 cm

Answer is B

Step-by-step explanation:

The probability of randomly choosing a green marble after you have chosen red is 4.4%

What is probability?

Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out. Statistics is the study of events subject to probability.

Given

A jar has 20 marbles: 3 green, 12 blue, 5 red.

Probability;

In probability theory, an event is a set of outcomes of an experiment or a subset of the sample space.

The total number of marbles = 20

The number of green marbles= 3

The number of blue marbles = 12

The number of red marbles = 5

The probability of choosing a red marble = Number of red marbles / Total number of marbles

= 5/20

The probability of choosing a green marble is =  Number of green marbles / New total number of marbles

= 3/19

Therefore,

The probability of randomly choosing a green marble after you have chosen red is;

= 5/20 * 3/19

= 3/68

percentage = 3/68 * 100 = 4.4%

Hence, the probability of randomly choosing a green marble after you have chosen red is 4.4%

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After answering the presented question, we can conclude that We only coordinates need the positive solution, so t = 1.259

A coordinate in mathematics is a number or combination of integers that indicates the position of a point or object in space. Coordinates are often used to define the position of a point or object in a certain coordinate system, such as the Cartesian or polar coordinate systems. A point, for example, is located in the Cartesian coordinate system by its distance from the origin along the x-axis and its distance from the origin along the y-axis. These distances are denoted by two numbers, the x-coordinate and the y-coordinate, respectively. The two coordinates specify the point's position in the plane.

To find the point that is 2/5 of the way from V to W, w

\(d = \sqrt((x2 - x1)^2 + (y2 - y1)^2)\\\)

where (x1, y1) = (-4, -4) and (x2, y2) = (11, 2).\\

\(d = \sqrt((11 - (-4))^2 + (2 - (-4))^2)\\= \sqrt(15^2 + 6^2)\\= \sqrt(225 + 36)\\= \sqrt(261)\\\)

\(d1 = (2/5) * \sqrt(261)\\x = -4 + t * (11 - (-4))\\d1 = s\qrt((x - (-4))^2 + (y - (-4))^2)\\= \sqrt((x + 4)^2 + y^2 - 8x - 8y + 32)\\\)

\(d1^2 = (x + 4)^2 + y^2 - 8x - 8y + 32\\d1^2 = (x + 4)^2 + y^2 - 8x - 8y + 32\\= (x + 4)^2 + y^2 - 8(x + 4) - 8y + 64 \\d1^2 = (x + 4)^2 + y^2 - 8(x + 4) - 8y + 64\\= (x + 4)^2 + (y - 4)^2 + 4 )\\(2/5)^2 * 261 = (x + 4)^2 + (y - 4)^2 + 4\\\)

\(52.2 = (x + 4)^2 + (y - 4)^2 + 4\\(x + 4)^2 + (y - 4)^2 = 48.2\\(x + 4)^2 + y^2 - 8x - 8y + 32 = 48.2 \\(x + 4)^2 + (-4 + 6t)^2 - 8x + 48t - 32 = 48.2\\(x + 4)^2 + 36t^2 - 48t + 32 = 48.2\\(x + 4)^2 + 36t^2 - 48t - 16.2 = 0\\\)

Using the quadratic formula:

\(t = (48 + sqrt(48^2 - 4 * 36 * (-16.2))) / (2 * 36)\\= (48 + sqrt(2596.8)) / 72\\= (48 + 50.956) / 72\\t = 1.259 or t = -0.705\\\)

We only need the positive solution, so t = 1.259

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To solve this problem, we can use the formula for probability:

P(event) = number of favorable outcomes / total number of outcomes

First, let's find the total number of outcomes. We are selecting 4 balls from 11 without replacement, so the total number of outcomes is:

11C4 = (11!)/(4!(11-4)!) = 330

where nCr is the number of combinations of n things taken r at a time.

Now let's find the number of favorable outcomes for each part of the problem.

Part 1: Exactly two white balls and two red balls

To find the number of favorable outcomes for this part, we need to select 2 white balls out of 6 and 2 red balls out of 5. The number of ways to do this is:

6C2 * 5C2 = (6!)/(2!(6-2)!) * (5!)/(2!(5-2)!) = 15 * 10 = 150

So the probability of selecting exactly two white balls and two red balls is:

P(2W2R) = 150/330 = 0.45 (rounded to two decimal places)

Part 2: At least two white balls

To find the number of favorable outcomes for this part, we need to consider two cases: selecting 2 white balls and 2 red balls, or selecting 3 white balls and 1 red ball.

The number of ways to select 2 white balls and 2 red balls is the same as the number of favorable outcomes for Part 1, which is 150.

To find the number of ways to select 3 white balls and 1 red ball, we need to select 3 white balls out of 6 and 1 red ball out of 5. The number of ways to do this is:

6C3 * 5C1 = (6!)/(3!(6-3)!) * (5!)/(1!(5-1)!) = 20 * 5 = 100

So the total number of favorable outcomes for selecting at least two white balls is:

150 + 100 = 250

And the probability of selecting at least two white balls is:

P(at least 2W) = 250/330 = 0.76 (rounded to two decimal places)

The probability of roll outcome:

1st 2 = 1/6

2nd prime = 1/2, and

3rd more than 4 = 1/3.

Probability is the fraction of the required outcome event divided by the number of possible outcomes of events.

In a fair die, considering the outcomes from the question:

probability of the 1st roll to be 2 = 1/6

probability of 2nd roll to be prime = 3/6

probability of 2nd roll to be prime = 1/2

probability of 3rd roll to be more than 4 = 2/6

probability of 3rd roll to be more than 4 = 1/3

Therefore, the fracions 1/6, 1/2, and 1/3 are the probabilities of the 1st, 2nd, and 3rd rolls outcome respectively.

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a) The formula that describes the geometric sequence is of:

\(a_n = 20\left(\frac{7}{9}\right)^{n - 1}\)

b) The maximum height on the 6th bounce is of: 5.69 feet.

The definition of a geometric sequence is given by the equation presented as follows:

\(a_n = a_1(r)^{n - 1}\)

Which is used to calculate the nth term of the sequence.

In which the parameters of the equation are given as follows:

From the description in the text, the first term and the common ratio of the sequence are given as follows:

\(a_1 = 20, r = \frac{7}{9}\)

Then the formula that defines the sequence is given as follows:

\(a_n = 20\left(\frac{7}{9}\right)^{n - 1}\)

The maximum height, in feet, after the 6th bounce is given as follows:

\(a_6 = 20\left(\frac{7}{9}\right)^{6 - 1} = 5.69\)

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The total number of workers that were studied can be found to be 139,340,000.

The percent of workers unemployed would be 5. 4 %.

Percentage of unemployed men is 5. 6 % and unemployed women is 5. 1%.

Number of employed workers :

= 74,624,000 + 64, 716, 000

= 139,340,000

Percentage unemployed :

= ( 4, 209,000 + 3,314,000 ) / 139,340,000

= 5. 4 %

Percentage of unemployed men :

= 4,209,000 / 74,624,000

= 5.6 %

Percentage of unemployed women:

= 3,314,000 / 64, 716, 000

= 5. 1 %

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The full question is:

a. How many workers were studied?

b. What percent of the workers were unemployed?

c. Compare the percent unemployed for the men and the women.

Answer:

The expression is a mathematical representation of an algebraic problem. The final form of the expression would be 75y -5 after combining like terms.

Here's the breakdown of the steps:

125y - 5 - 50y = (125-50)y -5 = 75y - 5

So the final simplified form of the expression is 75y -5.

162

Step-by-step explanation:

(12 square - 15 + 17) + 16

=(144 - 15 + 17) + 16

=146 + 16

=162