solve it using (x+a)(x+b)=x²+(a+b)x+ab

please give me the answer
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The diameter of the U.S. dime in 1828 was approximately 18 mm. To convert this diameter to nanometers, we need to multiply it by 1,000,000 (since there are 1,000,000 nanometers in a millimeter).

So, when expressed in nanometers, the diameter of the U.S. dime in 1828 is approximately 18,000,000 nanometers. The diameter of the U.S. dime in 1828, when expressed in nanometers, is approximately 18,000,000 nanometers. Therefore, the diameter of the U.S. dime in 1828 can be expressed as 18,000,000 nanometers.

The diameter of the U.S. dime in 1828, when expressed in nanometers, is approximately 18,000,000 nanometers. To convert millimeters to nanometers, we multiply by 1,000,000 since there are 1,000,000 nanometers in a millimeter.

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If the bacteria colony size doubles in 9 hours, we can say that the growth rate is 2^(1/9) per hour. This is because if the colony size doubles, the new size will be twice as big as the old size, which means the growth rate is 2^(1/9) times the original size per hour.

To find out how long it takes for the colony size to triple, we need to solve for the time it takes for the colony size to increase by a factor of 3, which is the same as finding the value of t in the equation:

3 = 2^(t/9)

Taking the logarithm base 2 of both sides, we get:

log2(3) = t/9 * log2(2)

log2(3) = t/9

t = 9 * log2(3)

Using a calculator, we can find:

t ≈ 14.58 hours

Therefore, it will take approximately 14.58 hours for the number of bacteria to triple.

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In a regression analysis, the error term ε is a random variable with a mean or expected value of zero. The correct option is a.

The average of a group of variables is referred to as the mean in mathematics and statistics. There are several methods for calculating the mean, including simple arithmetic means (adding the numbers together and dividing the result by the number of observations), geometric means, and harmonic means.

Given:

Analysis is a regression analysis.

And the error term in regression analysis:

The error term, which refers to the total of the deviations within the regression line and explains the discrepancy between the theoretical value of the model and the actual observed results, denotes the margin of error inside a statistical model.

ε = Epsilon or error term.

The variation in the dependent variable that the independent factors do not explain is taken into account by the error term.

The values of the error term should be determined by random chance.

The average value of the error term must be equal to zero in order for your model to be impartial.

Therefore, error term is zero.

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8 in roman numerals is  VIII. Roman numerals are the symbols used in a system of number notation based on the pre-Roman Roman system. The letters I, V, X, L, C, D, and M, respectively, stand in for the numbers 1, 5, 10, 50, 100, 500, and 1,000.

Roman numerals do not use a 0 symbol and have a distinct sign for each power than ten than Arabic numerals, which use a decimal system notation (in which the same digit can represent many powers of ten thanks to place-keeping zeros). Roman numerals have never had an official or widely accepted standard, allowing for some notational flexibility. In ancient Rome, usage was extremely diverse, and in the Middle Ages, it was completely disorganized. Even the post-renaissance reinstatement of a mostly "classical" notation has not resulted in complete consistency; in fact, some contemporary writers defend different forms as providing more "flexibility". On the other hand, it is preferable to strictly adhere to the standard style indicated below, particularly where a Roman numeral is considered a legally enforceable expression of a number, as in U.S. Copyright law.

According to the question

8 in Roman Numerals = VIII

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The binomial probability formula is used to calculate the probability of a specific number of successes in a fixed number of independent trials, where each trial can only result in success or failure. It is used to model situations where there are only two possible outcomes for each trial, and where the trials are independent and identically distributed.

The formula for binomial probability is:

\(P(x) = (n choose x) * p^x * (1 - p)^{n-x}\\\)

where P(x) is the probability of x successes in n trials, p is the probability of success on each trial, (n choose x) is the binomial coefficient which gives the number of ways to choose x successes from n trials, and (1 - p) is the probability of failure on each trial.

The binomial probability formula can be used in a variety of applications, such as:

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Answer:

Percent increase is a percent change that describes an increase in quantity

To determine percent increase we first find the amount of change

It is given:A tree grew from 4ft to 12ft in 3 years .

Amount of change =12-4=8 ft.

We use proportion to find percent increase.

Or ,

Cross multiplying we have:

4 ( percent Increase )= 800

Dividing by 4 we have Percent change = 200

Percent Increase = 200%.

The probability that Joe and Mathew would have to purchase no books on this visit to the bookstore is given as 0.125.

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

We are to find the probability where p(x) = 0 and p(y) = 0

This is where we would have

from the table,  p(x) = 0 is 0.5

p(y) = 0 is 0.25

0.25 x 0.5 = 0.125

Hence the probability that no books would be bought is 0.125.

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The inequality that represents the cost, c, that Mr. Daniels can spend on the class trip is; c < 300

We are told that;

Mr. Daniels is organizing a class trip.

Mr. Daniels wants to spend less than $300

Thus, if the cost that Mr. Daniels can spend on the class trip is given as c, then it means that c has to be less than the amount which he wants to spend which is $300.

Thus, since c has to be less than $300, then it means that the inequality to be used would be a less than sign which can be expressed as;

c < 300

Thus, we conclude that it is the required inequality.

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Answer:

12x-4 =80

12x =84

x. =7 ,,

Answer:

16 4/5

Step-by-step explanation:

1. Divide 5 3/5 by 2 (2 4/5)

2. Multiply 2 4/5 by 2 and multiply 5 3/5 by 2 (5 3/5) (11 1/5)

3. Add them together (16 4/5)

The statement "The mean decreases as the degrees of freedom increase" is not true about chi-square distributions.

In fact, the mean of a chi-square distribution is equal to its degrees of freedom. It does not decrease as the degrees of freedom increase.

The mean remains constant regardless of the degrees of freedom. This is an important characteristic of chi-square distributions.

Regarding the other statements:

In summary, the statement that is not true about chi-square distributions is that the mean decreases as the degrees of freedom increase.

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Answer:

6

Step-by-step explanation:

cause 18 is a multiple of 6 and 24

Hello.

For every 3 eggs, 4 dozens of cookies could be made, it is a pattern. Follow the pattern to find out how much could be made with a dozen eggs.

3 eggs = 4 dozen (48)

6 eggs = 8 dozen (96)

9 eggs = 12 dozen (144)

12 eggs = 16 dozen (192)

A dozen eggs could make 192 cookies.

There are 2 ways that 3 students be seated in a row of 3 chairs with jack in the first chair

It is the ordered arrangement of members belonging to a set with no repeats.

To solve this problem the formula and the permutation procedure we must use is:

nPr = n! / (n-r)!

Where:

Information about the problem:

Applying the permutation formula we have:

nPr = n! / (n-r)!

3P3 = 2! / (2-2)!

3P3 = 2! / 0!

3P3 = 2*1 / 1

3P3 = 2

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the answer is the third option

The function f(x)=√x with f:R→R is injective and surjective but not bijective.

Injective (or one-to-one): f(x) is injective, which means that if f(x1) = f(x2), then x1 = x2. In other words, if the square root of x1 is equal to the square root of x2, then x1 and x2 are equal.

Surjective (or onto): f(x) is surjective, which means that for every y in the codomain (R), there exists an x in the domain (R) such that f(x) = y. In other words, the square root of any real number can always be expressed as a real number.

Bijective: f(x) is not bijective. The square root function is not bijective because it is not defined for negative values of x.

Function: A function f is a function if for every x in the domain of f, there is exactly one y in the codomain of f such that f(x) = y. In other words, each x in the domain is mapped to exactly one y in the codomain.

In the case of f(x) = √x, it is a function. For every x in the domain of f, which is [0,∞), there is exactly one y in the codomain of f, which is [0,∞), such that f(x) = y.

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To set up the artificial variable LP (Phase I LP) for the given problem, we introduce an artificial variable, LP, to the objective function with a coefficient of 1. The artificial variable is used to identify infeasible solutions.

To set up the artificial variable LP (Phase I LP), we modify the objective function as follows:

Maximize Z = 4x1 + 7x2 + x3 + LP

The artificial variable LP is introduced to the objective function with a coefficient of 1. This allows us to track its value during the iterations.

The initial constraints remain the same:

2x1 + 3x2 + x3 = 20

3x1 + 4x2 + x3 + x4 = 40

8x1 + 5x2 + 2x3 - x5 = 70

The initial basic variables (BV) are the slack variables corresponding to the equality and inequality constraints, namely, x3 and x4. The artificial variable LP is initially a non-basic variable.

The initial artificial variables' basic variable (BVB) values are set to the right-hand side values of the constraints:

x3 = 20

x4 = 40

The initial artificial variable LP's value is set to 0.

Next, the artificial variable LP is selected as the entering variable, as it has a positive coefficient in the objective function. To determine the leaving variable, we perform the ratio test using the ratios of the right-hand side values and the entering column values (coefficients of LP) for the respective constraints.

The leaving variable is determined based on the minimum ratio, ensuring that the corresponding row represents a valid pivot element. If no valid pivot element is found, the problem is infeasible.

This completes the setup of the artificial variable LP (Phase I LP) without performing a complete pivot. Further steps would involve applying the simplex method and iteratively pivoting to find the optimal solution or identify infeasibility.

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A graph of the equation y = 2x + 3 is shown in the image attached below.

In order to use the given linear function to complete the table, we would have to substitute each of the values of x (x-values) into the linear function and then evaluate as follows;

When the value of x = -2, the linear function is given by;

y = 2x + 3

y = 2(-2) + 3

y = -1.

When the value of x = -1, the linear function is given by;

y = 2x + 3

y = 2(-1) + 3

y = 1.

When the value of x = 0, the linear function is given by;

y = 2x + 3

y = 2(0) + 3

y = 3.

When the value of x = 1, the linear function is given by;

y = 2x + 3

y = 2(1) + 3

y = 5.

When the value of x = 2, the linear function is given by;

y = 2x + 3

y = 2(2) + 3

y = 7.

When the value of x = 3, the linear function is given by;

y = 2x + 3

y = 2(3) + 3

y = 9.

In this exercise, we would use an online graphing calculator to plot the given linear function with data points as shown in graph attached below.

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Answer:

1) A

2)C

3)B

4)D

Step-by-step explanation:

PLEASE MARK ME AS BRAINLIEST

1) 3,500 rounded to the nearest ten thousand is 0.

2) 462,183.5062749 rounded to the nearest tenth is 462,183.5.

3) 6 + (-3) - 5 is equal to -2.

QUESTION 1:The given number is 3,500. To round it to the nearest ten thousand, we need to see which ten thousand is closest to the number. In this case, 3,500 is between 0 and 10,000. Since 0 is closer, we round down to 0. So, 3,500 rounded to the nearest ten thousand is 0.

QUESTION 2: To round the given number, 462,183.5062749, to the nearest tenth, we need to look at the digit in the hundredths place (the second digit after the decimal point), which is 0. Since 0 is less than 5, we round down the digit in the tenths place to 3.

Therefore, 462,183.5062749 rounded to the nearest tenth is 462,183.5.

QUESTION 3:We have to evaluate 8 to the 8th power. That means we have to multiply 8 by itself 8 times. Using a calculator, we can find that 8^8 is equal to 16,777,216.

QUESTION 4:When solving the expression 6 + (-3) - 5, we should follow the order of operations, which is: Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).

Since there are no parentheses or exponents in this expression, we can simply perform addition and subtraction from left to right.

6 + (-3) = 3, then 3 - 5 = -2.

Therefore, 6 + (-3) - 5 is equal to -2.

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Answer:

LM=7

Step-by-step explanation:

Let me know if its right;)

wait oops i answered by accident now i cant delete it

The correct interpretation of the point (2, 4) in this context is:

2. After 2 minutes, the depth of the pool is 4 feet.

In the given model y = -2x + 8, the equation represents the relationship between the time in minutes (x) and the depth of the pool in feet (y) after draining. The equation is in the form of a linear function, where the coefficient of x (-2) represents the rate of change of the depth of the pool over time.

To determine the meaning of the point (2, 4) in this context, we need to substitute the value of x as 2 into the equation and solve for y.

When x = 2:

y = -2(2) + 8

y = -4 + 8

y = 4

Therefore, when 2 minutes have passed, the depth of the pool is 4 feet. This means that after 2 minutes of draining, the water level in the pool has decreased to 4 feet.

It is important to note that in this model, the coefficient -2 indicates that the depth of the pool decreases by 2 feet for every minute that passes. As time increases, the depth of the pool will continue to decrease at a constant rate of 2 feet per minute.

The given point (2, 4) provides a specific example that illustrates the relationship between time and the depth of the pool. It confirms that after 2 minutes of draining, the pool's depth is indeed 4 feet.

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Eval is a function that evaluates an expression and puts the resulting value into a new or existing field.

To calculate the value of an expression using Eval, you must use the correct syntax. The syntax for Eval is Eval(expression, optional_parameter). The expression can take the form of a mathematical equation or a logical expression. For example, if you wanted to calculate the sum of two numbers, you would use the following expression: Eval(A + B). The optional parameter allows you to specify a range of values to evaluate the expression against.

For example, if you wanted to calculate the sum of two numbers within a given range, you would use the following expression: Eval(A + B, range). The range parameter can be used to specify the starting and ending values that the expression should be evaluated against.

Using Eval to calculate an expression is a useful tool for quickly getting the desired value. It is also useful for quickly testing the accuracy of a complex expression before implementing it in your code.

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Answer:what’s the question

Step-by-step explanation:

please tell me so I can help you out

Answer:

x = 32

Step-by-step explanation:

2x+1 + x-7 = 90

3x - 6 = 90

3x = 96

x = 32

Answer:

The Line Has A Positive Slope

Step-by-step explanation:

The ladder need to be of minimum length 16 feet in order to span the two buildings.

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem. These triangle's three sides are known as the Perpendicular, Base, and Hypotenuse. Due to its position opposite the 90° angle, the hypotenuse in this case is the longest side.

The Pythagoras Theorem formula is given as

Hypotenuse² = Perpendicular² + Base²

Given the height of two tall buildings, 25 foot and 35 foot.

Distance between the two buildings = 20 feet.

Difference between the heights of the buildings = 35 - 25 = 10 feet.

Here, Perpendicular = 10 feet.

Hypotenuse = length of ladder

Base = 20 feet

Using the Pythagoras theorem,

Hypotenuse² = Perpendicular² + Base²

(length of ladder)² = (10)² + (20)²

(length of ladder)² = 100+400

(length of ladder)² = 500

length of ladder = √500

Hence, length of ladder = 5√10 feet or 16 feet approx.

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Based on the image description, the quantity that is equal to cos W is sin P.

The image is known to be showing an object on a ramp. Based on it, we can therefore take the angle a to the complementary angle of angle w.

Note that the angle w and angle b are said to be the same via alternate interior angles. Therefore,  the quantity that is equal to cos W is sin P.

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Answer:

x = -7

Step-by-step explanation:

3x + 13 = -2x - 22

subtract 13 from both sides

3x = -2x - 35

Add 2x to both sides

5x = -35

Divide each side by 5

x = -7