What is another name for 22?
E
D
21
LL
G
H
LOGE
ZGED
LEGF
ZGEF

Answer:

Step-by-step explanation:

\(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\d=\sqrt{(9-2)^2+(4+3)^2}=\sqrt{7^2+7^2}=\sqrt{2\cdot7^2}=7\sqrt2=9.8994...\approx9.9\)

The Scale factor was used to enlarge the picture is 7/ 31.5.

A scale factor is a numerical value that can be used to alter the size of any geometric figure or object in relation to its original size. It is used to find the missing length, area, or volume of an enlarged or reduced figure as well as to draw the enlarged or reduced shape of any given figure. It should be remembered that the scale factor only affects how big a figure is, not how it looks.

Given:

A picture is 7 inches wide and 9 inches long.

A photographer enlarges it so it is 31.5 inches wide and 40.5 inches long.

So, scale factor is

= Original dimension / Enlarged dimension

= 9/ 40.5

= 90/ 405

= 10/45

= 2/9

Now, simplifying the scale factor 7/31.5 because it has Nr < Dr.

= 7/ 3.15

= 70/31.5

= 2/9

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The equation is s = 27 + l, and Lea ran 19 miles

The statement is given as:

Represent the miles they ran with the first letters of their names.

So, we have

s = 27 + l

s = 46

How many miles did Lea run?

Substitute s = 46 in s = 27 + l

46 = 27 + l

Subtract 27 from both sides

l = 19

Hence, the equation is s = 27 + l and Lea ran 19 miles

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Answer: Francisco is correct

Step-by-step explanation:

Positive 4 and positive 7

Negative 3 and negative 2

4 * 7 = 28

-3 * -2 = 6

Answer:

After 80 years, 693.312 g should remain.

It should take 9837.019 years for there to be 215 grams.

Step-by-step explanation:

Answer:

Dont answer my questions if ur not gonna answer right

Step-by-step explanation:

Hello!

surface area

= 2(6*2) + 2(4*2) + 4*6

= 2*12 + 2*8 + 24

= 24 + 16 + 24

= 64 square inches

There are 166 integers between 1 and 1000 that are divisible by 3 and 5.

1000/3 = 333.3333

1000/5 = 200

333.3333 * 200 = 66,666.66

66,666.66 / 15 = 4444.444

4,444.444 rounded to 4,445

4,445 - 1 = 4,444

4,444 + 1 = 4,445

4,445 integers between 1 and 1000 that are divisible by 3 and 5.

There are 4,445 integers between 1 and 1000 that are divisible by both 3 and 5. The calculation to determine this is 1000 divided by 3, then 1000 divided by 5, then multiplying the two numbers together, then dividing by 15 and rounding the result to the nearest integer, then subtracting and adding 1 to the result.

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The more precise estimator ẏ₁ is the most efficient in estimating the average salary. With given values, the confidence interval is calculated to determine whether to accept the claim of a $50,000 mean salary.



In this scenario, we have two estimators for the average salary: ẏ₁, which uses precise data, and ẏ₂, which includes less precise data. The efficiency of the estimators depends on the variance of the data. If we compare the variances, Var(ẏ₁) = 0% and Var(ẏ₂) = o²(1 + 3c). Since Var(ẏ₁) is zero, it implies that ẏ₁ is the most efficient estimator. The answer does not depend on the value of c.

In the second part, with c = 0, we have Var(Y) = o². Given N = 300, s² = 20,000,000, and ẏ₁ = $48,000, we can use these values to construct a confidence interval. Using a 1% significance level, the critical value is 2.57 (from the standard normal distribution). The confidence interval is given by ẏ₁ ± 2.57 * sqrt(s²/N), which results in $48,000 ± 2.57 * sqrt(20,000,000/300). If this interval contains $50,000, we would accept your friend's claim; otherwise, we would reject it.

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An electric circuit is a closed course that consists of all of the additives linked to finish the go with the drift of modern-day.

The circuit underneath is composed of:

A battery as a supply of direct modern-day which materials electricity within side the circuit for modern-day to go with the drift. Direct modern-day affords uni-directional modern-day. Here it has cells. Here 4 cells are linked in collection for the battery.

Two bulbs A and B linked in parallel connection. Each bulb has been parallel connected with a voltmeter.

A voltmeter measures the voltage throughout the element that it's miles linked with. It is continually linked in parallel with the additives.

Main circuit has an ammeter in collection with the battery and connection of bulb.

An ammeter measures the modern-day flowing within side the circuit. It is continually linked in collection.

Therefore, an electric circuit is a closed course that consists of all of the additives linked to finish the go with the drift of modern-day.

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Solution

- The correlation of points on a graph can be defined in 2 ways:

1. It can be defined as positive or negative if all the points on the graph move or arrange themselves in a certain direction; usually pointing upwards or downwards.

2. It can also be defined as 0 if the points do not appear to be pointing in any certain direction.

- Because of the orientation of the points, we can draw a straight line through the points demonstrating the general direction of the points.

- If we cannot draw a line through the points, then, the correlation of the graph is 0.

This is illustrated below:

- From the above, we cannot draw any lines that would make sense of graph B.

- Thus, graph B has a correlation coefficient of 0

Final Answer

The answer is graph B

Friedrich Miescher was the one who identified DNA for the first time in the year 1869.  

Deoxyribonucleic acid, or DNA, is the name given to the genetic material that makes up humans and nearly all other creatures. Each cell in an individual's body has almost identical DNA. Although the cell nucleus (where it is known as nuclear DNA) houses the majority of DNA, a small amount can also be discovered there (where it is called mitochondrial DNA or mtDNA). Mitochondria are organelles in cells that transform food energy which is utilized by the cells.

Four chemical bases—adenine (A), guanine (G), cytosine (C), and thymine—make up the code in which the information in DNA is stored (T). In the 3 billion or more bases that make up human DNA, more than 99 percent of them are the same in every individual.

Similar to how the letters of the alphabet are arranged in a specific order to create words and sentences, the order, or sequence, of these bases establishes the information available for constructing and maintaining an organism.

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Answer:

The answer is c because 20(20) + 60 = 460 and if you plug in the number of rows for x and add the 60 you would always get the number of seats value.

The correct equation for the number of seats with respect to the number of rows will be;

s = 20r + 60

Where, s is number of seats and r is number of rows.

What is linear expression?

A linear expression is an algebraic statement where each term is either a constant or a variable raised to the power one.

Given that;

The chart shows the number of rows in an auditorium and the total number of seats.

Since, The equation is satisfy the given numbers in chart.

So, Let an equation for chart;

s = 20r + 60

Where, s is number of seats and r is number of rows.

Now, Substitute the value of r = 20 for the number of first rows in above equation we get;

s = 20 × 20 + 60

s = 400 + 60

s = 460

And, For second row, r = 45

s = 20 × 45 + 60

s = 900 + 60

s = 960

Thus, The correct equation for the number of seats with respect to the number of rows will be;

s = 20r + 60

Where, s is number of seats and r is number of rows.

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Answer:

· An environmental agency studying the effects of drought on a lake has found that the water levels in the lake are decreasing at a constant rate during the initial few months of the drought. The equation y = -0.6x + 346 represents the depth of lake (y) based on the number of weeks passed (x). What does the y-intercept represent in this scenario? A the depth of the lake at the beginning

Step-by-step explanation:

hopes this helpes you

Answer:

Option (1)

Step-by-step explanation:

2cos²(75°) - 1 = cos2(75°) [By using identity 2cos²a - 1 = cos2a]

                      = cos(150°)

                      = cos(90 + 60)°

                      = -sin(60°)  [Since, cos(90 + θ) = -sinθ]

                      = \(-\frac{\sqrt{3}}{2}\)

Therefore, solution of the given expression is \((-\frac{\sqrt{3}}{2})\).

Option (1) will be the correct option.

Answer:

A.  -(square root of 3 over 2)

Step-by-step explanation:

got it right on edge :)

Given:

The polynomial is

\(4x+2x^5-6x^3+2\)

To find:

The standard form of the polynomial and leading coefficient.

Solution:

In standard form of a polynomial, we arrange the terms in descending order of their degrees.

Leading coefficient is the constant value before the variable with highest power.

Let the given polynomial be p(x).

\(p(x)=4x+2x^5-6x^3+2\)

The standard form of the polynomial is

\(p(x)=2x^5-6x^3+4x+2\)

The highest power of x is 5 and 2 is before \(x^5\). The leading coefficient is 2.

Therefore, the standard form of the polynomial is \(2x^5-6x^3+4x+2\) and the leading coefficient is 2.

The stem and leaf display is sometimes called a "hybrid graphical method" because it combines elements of both numerical and graphical methods of data representation.

The stem and leaf display is a method of representing numerical data that retains the individual data points while providing a visual summary of the overall distribution of the data. It's called a "hybrid graphical method" because it combines elements of a traditional numerical table with graphical features that allow for a quick visualization of the distribution of the data. The "stem" portion of the display represents the larger values of the data, while the "leaves" represent the smaller values, allowing for easy comparison of the individual data points. Overall, the stem and leaf display provides the best of both worlds in terms of numerical and graphical data representation, making it a valuable tool for data analysis.

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Given that the radius of a circle is increasing at a rate of 10 centimeters per minute.

We need to find the rate of change of the area when the radius is 4 centimeters.

According to the question, The radius of a circle is r = 4 cm The rate of change of the radius of the circle is:

dr/dt = 10 cm/min

The area of the circle is given by:

A = πr²

Differentiating both sides with respect to time t, we have:

dA/dt = 2πr(dr/dt)

Now, put the values of dr/dt and r in the above equation, dA/dt = 2π × 4 × 10= 80π cm²/min

Therefore, the rate of change of the area when the radius is 4 cm is 80π cm²/min. Rounded to one decimal place is 251.3 cm²/min (approximately).

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An unnormalized relation refers to a table in a relational database that contains more than one row. This means that there are duplicate rows in the table, which violates the rules of normalization.

Normalization is a process in database design that aims to eliminate data redundancy and ensure data integrity. It involves breaking down a database into multiple tables and defining relationships between them. By doing so, we can efficiently store and retrieve data while minimizing inconsistencies.

In an unnormalized relation, duplicate rows can lead to various problems. For example, it can result in data inconsistencies, as updating one instance of a row may not reflect changes in other duplicate rows. Additionally, it can cause unnecessary storage and maintenance overhead.

To normalize an unnormalized relation, we need to identify the functional dependencies in the table and create separate tables for related data. This helps organize the data and reduces redundancy.

In summary, an unnormalized relation is a table in a relational database that has duplicate rows. It is important to normalize such relations to ensure data integrity and efficiency.

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Answer:  \(0 \le p(a) \le 1\)

The smallest p(a) can get is 0. The largest is 1. Both endpoints are included.

Explanation:

I'm assuming p(a) refers to a probability. If so, then p(a) = 0 means there's a 0% chance of the event happening. On the opposite end of the spectrum, p(a) = 1 means there's a 100% chance of the event happening. Most probabilities will fall somewhere in between.

Examples:

To determine the number of group options, we need to calculate the combinations of 3 men out of 8 and 4 women out of 11.

The number of combinations can be calculated using the formula for combinations, which is:

C(n, r) = n! / (r!(n - r)!)

where n is the total number of items and r is the number of items to be chosen.

For the men:

C(8, 3) = 8! / (3!(8 - 3)!) = (8 * 7 * 6) / (3 * 2 * 1) = 56

For the women:

C(11, 4) = 11! / (4!(11 - 4)!) = (11 * 10 * 9 * 8) / (4 * 3 * 2 * 1) = 330

To find the total number of group options, we multiply the number of options for men by the number of options for women:

Total options = 56 * 330 = 18,480

Therefore, the theater director has 18,480 group options to choose from.

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The probability of drawing a diamond from a deck of cards is 1/4. So, the odds in favor of drawing a diamond from an ordinary deck of cards are 1/3.

A deck of cards has 52 cards in it, and there are 13 cards of diamonds in it. So, the probability of drawing a diamond is 13/52. Simplifying 13/52, we get 1/4. The odds of an event happening are the ratio of the probability of an event happening to the probability of an event not happening. It's expressed in the form of x:y.

The probability of an event happening is the probability of success. The probability of an event not happening is the probability of failure. In the current scenario, the probability of drawing a diamond is 1/4. So, the probability of not drawing a diamond is 3/4. Therefore, the odds in favor of drawing a diamond are:

=1/3

The odds in favor of drawing a diamond from an ordinary deck of cards are 1/3.

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The statement "D. Given any two distinct lines in the Cartesian plane, the two lines will either be parallel or perpendicular" is NOT true.

A. The statement is true. The ratios of the vertical rise to the horizontal run, also known as the slopes, of any two distinct nonvertical parallel lines are equal. This is one of the properties of parallel lines.

B. The statement is true. If two distinct nonvertical lines are parallel, then they have the same slope. Parallel lines have the same steepness or rate of change.

C. The statement is true. Given two distinct lines in the Cartesian plane, the two lines will either intersect at a point or they will be parallel and never intersect. These are the two possible scenarios for distinct lines in the Cartesian plane.

D. The statement is NOT true. Given any two distinct lines in the Cartesian plane, they may or may not be parallel or perpendicular. It is possible for two distinct lines to have neither parallel nor perpendicular relationship. For example, two lines that have different slopes and do not intersect or two lines that intersect but are not perpendicular to each other.

Therefore, the statement "D. Given any two distinct lines in the Cartesian plane, the two lines will either be parallel or perpendicular" is the one that is NOT true.

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Answer:

8.64%

Step-by-step explanation:

Write it as a decimal

7/81 = 0.0864

0.0864 is the decimal representation for 7/81

For Percentage Conversion :

step 1 To represent 0.0864 in percentage, write 0.0864 as a fraction

Fraction = 0.0864/1

step 2 multiply 100 to both numerator & denominator

(0.0864 x 100)/(1 x 100) = 8.64/100

8.64% is the percentage representation for 7/81

The number of bags of fiber stuffing needed to fill the cones is 52 bags.

Given:

Height (h) = 10 inches

Radius (r) = 4 inches

To calculate the number of bags of fiber stuffing needed to fill the ice cream cones, we first need to calculate the volume of a single cone ( cone + hemisphere) using its height and radius.

The volume of a cone can be calculated using the formula:

= (1/3) πr²h

The volume of a hemisphere can be calculated using the formula:

= (2/3) πr³

Substituting these values into the formula, we can find the volume of a single cone:

V = (1/3) π × 4² × 10 + (2/3)π × 4³

V = 167.5 + 134.04

V = 301.54

V ≈ 167.5516 cubic inches (rounded to 4 decimal places)

Now, to determine the number of bags of fiber stuffing needed, we divide the total volume of the cones by the volume that can be filled by a single bag of fiber stuffing:

Number of bags = Total volume of cones / Volume filled by a single bag

Total volume of cones = Volume of a single cone x Number of cones

Total volume of cones = 167.5516 cubic inches x 125 cones

Total volume of cones ≈ 37692.66 cubic inches (rounded to 2 decimal places)

Number of bags = 37692.66 cubic inches / 720 cubic inches (per bag)

Number of bags ≈ 52 (rounded to nearest whole number)

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Answer:

Step-by-step explanation:

54×54

In a standard 52-card deck, there are 20,358 ways to pick an (unordered) subset of 6 cards that contains at least one Ace, at least one King, at least one Queen, and at least one Jack.

When selecting a subset of 6 cards from a standard 52-card deck, the main objective is to ensure that the subset contains at least one Ace, one King, one Queen, and one Jack. To calculate the number of ways this can be achieved, we can break it down into steps.

Step 1: Select one Ace, King, Queen, and Jack

There are 4 ways to choose one Ace, 4 ways to choose one King, 4 ways to choose one Queen, and 4 ways to choose one Jack.

Step 2: Select two additional cards from the remaining 48 cards

After selecting one Ace, one King, one Queen, and one Jack, we are left with 48 cards. To complete the subset of 6 cards, we need to choose two more cards from this remaining set. The number of ways to select two cards from 48 is calculated using combinations, denoted as "48 choose 2," which is equal to 1,128.

Step 3: Multiply the results

To determine the total number of ways, we multiply the results of each step. Therefore, the total number of ways to pick an (unordered) subset of 6 cards that contains at least one Ace, one King, one Queen, and one Jack is 4 * 4 * 4 * 4 * 1,128 = 20,358.

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There are three major forms of linear equations:

Point slope form:

The point-slope form, as its name suggests, identifies a point on a line and its slope. Not frequently is this form provided to assist with line graphing. To get from a verbal or visual representation of a line to its slope-intercept or standard form, however, is where it is more frequently utilized.

Slope intercept form:

A line's slope and y-intercept are communicated using the slope-intercept form. Technically speaking, it is an exception to the point-slope form.

Standard form:

An equation's conventional form is as follows:

Ax+By=C

Where A is not a negative number and B, C, and all three are whole numbers.

Hence we get the required answer.

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Answer:

n= -28

Step-by-step explanation:

n+13= -15

n+13-13= -15-13

n= -28