Why does a logarithmic equation sometimes have an extraneous solution?

First Question is boolean,

Question 35 is probably floating point ,

Question 36 is probably an integer, since it shows 1, 2, 3, and 1, 2, 3 are not fractions, and integers are whole numbers.

Im not 100% sure but I hope I helped,

Have a nice day/night :)

The average of the sample ranges for the weight of packages of Skittles is 0.11. So, the correct answer is (e) 0.11.

To find the average of the sample ranges for the weight of packages of Skittles, we first calculate the range for each sample. The range is the difference between the maximum and minimum values in each sample.

Sample 1: Range\(= 3.62 - 3.58 = 0.04\)

Sample 2: Range\(= 3.65 - 3.49 = 0.16\)

Sample 3: Range \(= 3.65 - 3.45 = 0.20\)

Sample 4: Range \(= 3.64 - 3.54 = 0.10\)

Sample 5: Range\(= 3.62 - 3.49 = 0.13\)

Next, we calculate the average of these sample ranges:

A\(verage = (0.04 + 0.16 + 0.20 + 0.10 + 0.13) / 5 = 0.11\)

Therefore, the average of the sample ranges for the weight of packages of Skittles is \(0.11\). So, the correct answer is (e) \(0.11.\)

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Answer:

BB

Step-by-step explanation:

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ITS B I GOT IT RIGHT ON THE EXAM

Answer:

b Yes, because the number of wheels is specific to the number of cars in the parking lot

Step-by-step explanation:

because i did this quiz and got it right

The terms of the polynomial, which has a degree of 2, are ordered as follows in decreasing order: 17x² + 27x

Sums of terms of the form  k⋅xⁿ where k is any number and n is a positive integer, make up polynomials. For instance, the polynomial 3x+2x-5.

Given polynomial: 5x + 17x² + 22x

We need to simplify this polynomial first.

5x + 17x² + 22x = 27x + 17x²

Now we will put the term with highest degree first and arrange the terms of this polynomial.

17x² + 27x

Since, the highest power of terms in this polynomial is 2.

We can say that the degree of polynomial is 2.

Therefore, the polynomial has a degree of 2 and its terms are arranged in decreasing order as follows: 17x² + 27x.

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Answer:

D

Step-by-step explanation:

The difference between 63y and 35y is 28y. 28/2=14, 28/4=7, 28/7=4, 28/9=not whole number so I'm not doing the math, and to make sure we are right, 28/14=2

Answer:

Step-by-step explanation:

\(63y-35y\\=28y\)

\(\frac{28y}{2} = 14y\\\\\frac{28y}{4} = 7y\\\\\frac{28y}{7} =4y\\\\\frac{28y}{14} = 2y\\\\\frac{28y}{9} =3.1111y\)

If the data has a mound-shaped distribution, then percentage of dentists who use less than 102 units of local anesthetics per week is  84%   .

The Distribution is mound shaped and symmetric

we have to find percentage of dentists use less than 102 units of local anesthetics per week ;

Since the distribution is mount shaped , 68% of the data values are within 1 standard deviations of the mean (by the empirical rule) and 32% of data values are more than 1 standard deviations (23) from mean (79) .

Since , Distributions is symmetric, we expect about 16% of the data values to be more than 1 standard deviations below the mean, and about 16% of data values to be more than 1 standard deviations above mean.

So , 68% + 16% = 84% of the data values is expected to be less than 102.

Therefore , 84% of dentists use less than 102 units of local anesthetics per week .

The given question is incomplete , the complete question is

A study published in Current Allergy & Clinical Immunology (Mar. 2004) investigated allergic reactions of dental patients to local anesthetics. Based on a survey of dental practitioners, the study reported that the mean number of units (ampoules) of local anesthetics used per week by dentists was 79, with a standard deviation of 23. Suppose we want to determine the percentage of dentists who use less than 102 units of local anesthetics per week.

Assuming that the data has a mound-shaped distribution, what percentage of dentists use less than 102 units of local anesthetics per week ?

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The formula predicting the number of US billionaires in any given year (t) is:f(t) = 17.2t - 34,129. We can assume a linear growth model on the based of given information.

The given data states that in the year 1985, there were 13 US billionaires. Whereas in 1990, there were 99 US billionaires. We have to find out the formula that predicts the number of US billionaires in any given year (t).

The yearly increase remains constant, so we can consider the formula for the linear function.f(t) = mt + b

where

t is the year and f(t) is the number of US billionaires in that year (t).

m is the slope of the line and b is the y-intercept.

The slope of the line is given by the formula:m = (y₂ - y₁) / (x₂ - x₁)

Let's plug in the given values to find the slope of the line.m = (99 - 13) / (1990 - 1985)m = 86 / 5m = 17.2 .The y-intercept of the line can be found by substituting the values of t and f(t) from any of the given points into the equation of the line.

Let's use the point (1985, 13).f(t) = mt + b => f(1985) =17.2(1985) + b => f(1985) = 34,142 + b =>b = 13 - 34,142 & b = -34,129.

The formula predicting the number of US billionaires in any given year (t) is:f(t) = 17.2t - 34,129

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Answer:

180

Step-by-step explanation:

The definition of angles that are supplementary is that their measures add to 180°.

Answer:

the answer should be 28 ..

Answer:

The answer is 28!!!

Step-by-step explanation:

Use the combination formula to solve:

\(C = \frac{n!}{r!(n-r)!}\)

where

n = 8

and

r = 2

\(C = \frac{8!}{2! ~*~ 6!} = 28\)

I also got it right, look at the pic. Hope this helps!! :)

If you can earn 8 percent on your money, the prize worth to you is: $76,812.50. To calculate the present value of the prize, we need to determine the current worth of receiving $1000 per month for 9 years, given an 8 percent annual interest rate.

This situation can be evaluated using the concept of the present value of an annuity. The present value of an annuity formula is used to find the current value of a series of future cash flows. In this case, the future cash flows are the $1000 monthly payments for 9 years. By applying the formula, which involves discounting each cash flow back to its present value using the interest rate, we find that the present value of the prize is $76,812.50.

This means that if you were to receive $1000 per month for 9 years and could earn an 8 percent return on your money, the equivalent present value of that prize, received upfront, would be $76,812.50.

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Answer:

Perpendicular because the slopes are opposite reciprocals

Step-by-step explanation:

The general term of each sequence that are given are \(a_{n} = n+2 / 2\) ; nEN for the each infinite sequence suggested below, give its generating function in closed form, i.e., not as an infinite sum.

The infinite sequence that are generally number's that doesn't have any ending and are called as the infinite sequence and other that have finite sequence which have final numbers.

Here given infinite sequence are :

\(a1 =1 , a2= 0 , a3= 0 , a4 = 1.\\closed form of infinite sequence is an = 1 and 0 otherwise.\\sequence that s given is 3,2,4,1,1,1 and\\ a1 = 3 , a2 2 , a3= 4, a4= 1.\\an = 3, n =1, a2 = 2, a3 = 4, \\no n= 1, n=2, n=3 1 otherwise\\Given sequence is 1,3,6,10 ,15 \\then an = n+2 /2.\)

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The polynomial f(x) of degree 4 can have at most 3 turning points.

The number of turning points in a polynomial function is determined by its degree. The degree of a polynomial represents the highest power of x in the polynomial expression.

In this case, the degree of f(x) is 4, which means the highest power of x is \(x^4\).

A turning point is a point on the graph of a function where the function changes from increasing to decreasing or from decreasing to increasing. It corresponds to a change in the concavity of the function.

For a polynomial of degree n, the maximum number of turning points is n-1.

Therefore, for a polynomial of degree 4, the maximum number of turning points is 4-1=3.

It is important to note that this is the maximum number of turning points, and the actual number of turning points can be less depending on the specific coefficients and factors of the polynomial.

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Answer:

-1/6

Step-by-step explanation:

The slope is negative because it's going left. If you count the spaces between the points, they go back 6 and up 1, making it -1/6

The output the last three characters of a string, we need to create a variable to store the string, assign the string to the variable, and use the string slicing method to extract the last three characters

To start, we need to create a variable to store our string. We can name this variable "str". Next, we need to assign our string to the variable. We can do this by using the assignment operator "=".

Now, we can begin manipulating the string to output the last three characters. To do this, we can use the string slicing method. This method allows us to extract a portion of the string by specifying the start and end indices. In this case, we want to start at the third-last character, so our start index will be -3. Since we want the last three characters, our end index will be -1. We can use this information to create the following code:

str = "hello"

last_three_characters = str[-3:-1]

Now, when we print the variable last_three_characters, it should output "lo". This is because the slicing method extracts the characters from the start index up to, but not including, the end index.

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Complete Question:

Write a program to the postfix of 3 is the last 3 characters of a string. Given a string input, output the last three characters of that string. Assume the string will always have at least three characters

Get y alone on one side first in order to graph a linear inequality with two variables, like x and y. Then, take a look at the equation that results when you replace the inequality sign with an equality sign. This equation's graph is a line. A dashed line should be drawn if the inequality is strict ( < or >).

The inequality symbols  ‘<’, ‘>’, ‘≤’ or ‘≥’ can be used to compare any two values in an expression that is a linear inequality. These values may take the form of numbers, algebraic expressions, or a combination of the two. For instance, numerical inequalities like 10<11 and 20>17 and algebraic inequalities like x>y, y<19-x, x ≥ z > 11 are examples (also called literal inequalities). 

An ordinary linear function's graph can be seen when we plot the graph for inequalities. The graph, however, is the region of the coordinate plane that satisfies the inequality for an inequality and a line for a linear function, respectively.

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The initial speed of the ball is approximately 7.14 m/s, and it takes about 0.729 seconds to reach the ceiling.

To calculate the initial speed of the ball and the time it takes to reach the ceiling, we can use the equations of motion.

1. Calculate the time it takes for the ball to reach the ceiling:

  We can use the equation:

  s = ut + (1/2)at^2

  Where s is the displacement, u is the initial velocity, a is the acceleration, and t is the time.  Since the displacement of the ball is equal to the height of the ceiling, which is 2.70 m, and the ball starts and stops at zero velocity, the equation simplifies to:

  2.70 = 0 + (1/2)(-9.8)t^2

  Solving for t:

  2.70 = -4.9t^2

  t^2 = 2.70 / -4.9

  t = √(2.70 / -4.9)

  t ≈ 0.729 seconds

2. Calculate the initial speed of the ball:

  We can use the equation:

  v = u + at

  Where v is the final velocity, u is the initial velocity, a is the acceleration, and t is the time.

Since the final velocity is zero when the ball reaches the ceiling, and the acceleration is -9.8 m/s^2 (due to gravity), the equation simplifies to:

  0 = u + (-9.8)(0.729)

  u = 9.8(0.729)

  u ≈ 7.14 m/s

Therefore, the initial speed of the ball is approximately 7.14 m/s, and it takes about 0.729 seconds to reach the ceiling.

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Answer:

The answer is 30 ROWS.

Step-by-step explanation:

Please give brainlyest

The size of T is 54 degrees

OKML is a kite because KT = TL and two adjacent sides of a kite are equal

OKML is a cyclic quadrilateral because its angles <T and <O are supplementary

To determine the value of the angle, we need to know that the angle at the center is equal to twice the angle at the circumference,

From the diagram shown, we have that;

108 = 2T

Divide the value by 2. we have;

T = 54 degrees

The properties of a kite includes;

The properties of a cyclic quadrilateral includes;

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Answer: Hi the answer would be 32 Degrees

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

2 +2 = 5

by mistake

Answer:

4

Step-by-step explanation:

The Math.ceil() method in JavaScript can be used to obtain the smallest integer greater than or equal to a decimal number. By applying this method to the number 43.8, the result can be logged to the console, which will be 44.

The Math.ceil() method is a function provided by the Math object in JavaScript. It is used to round a number up to the nearest integer that is greater than or equal to the given decimal value. In this case, when the Math.ceil() method is applied to 43.8, it will return 44 as the smallest integer greater than or equal to 43.8. By logging this result to the console, the output will be displayed for further use or observation.

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Answer:

Yes, its a linear function

Step-by-step explanation:

See, all the results here are one-one which means for a distinct input there will be a distinct output.

That's why its a linear function

The equation can be written as: 2.4x - 9.1x + 12.5x = -39.44. x = 9.44.

The distributive property is a mathematical rule that states that multiplying a number by a group of numbers in a set can be done by multiplying the number by each individual number in the set. It is sometimes referred to as the distributive law of multiplication. This property is used to simplify complex expressions and equations into simpler ones. For example, the distributive property allows us to take the expression (x+y) * 5 and rewrite it as x * 5 + y * 5. This makes it easier to work with and solve. The distributive property can be used with addition and multiplication and is one of the most important and useful tools in algebra.

To solve for x, we need to use the distributive property to combine the like terms on the left side of the equation:
2.4x - 9.1x + 12.5x = (2.4 - 9.1 + 12.5)x
= -4.2x
We can now divide both sides of the equation by -4.2 to isolate x:
-4.2x / -4.2 = -39.44 / -4.2
x = 9.44

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Answer:volume of pyramid is equal to the volume of prism

Step-by-step explanation:

✽✽✽✽

\(\frac{x\cdot \:3}{4\left(x+21\right)}=10.5\)

\(\mathrm{Multiply\:both\:sides\:by\:}4\left(x+21\right)\)

\(\frac{x\cdot \:3}{4\left(x+21\right)}\cdot \:4\left(x+21\right)=10.5\cdot \:4\left(x+21\right)\)

\(3x=42\left(x+21\right)\)

\(3x=42x+882\)

\(\mathrm{Subtract\:}42x\mathrm{\:from\:both\:sides}\)

\(3x-42x=42x+882-42x\)

\(-39x=882\)

\(\mathrm{Divide\:both\:sides\:by\:}-39\)

\(\frac{-39x}{-39}=\frac{882}{-39}\)

\(x=-\frac{294}{13}\)

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