PLEASE HELP, THIS IS DUE TODAY
Which expression is equivalent to 4f(x) - 2g(x), if f(x) = 5x2 + 8x - 1 and g(x) = 3x2 - 9x + 7?
A. 14x^2-x+3
B. 2x^2+17x-8
C. 14x^2+14x+10
D. 14x^2+50x-18

The column has approximately 171,661 theoretical plates, calculated using the formula N = 16 * (t_R / W)^2, where t_R is the retention time of the peak (20.8 min) and W is the peak width at half height (12.1 s).

To calculate the number of theoretical plates (N) for a chromatography column, you can use the formula:

N = 16 * (t_R / W)^2

where:

N is the number of theoretical plates,

t_R is the retention time of the peak (in this case, 20.8 min),

W is the peak width at half height (in this case, 12.1 s).

Converting the peak width to minutes:

W = 12.1 s / 60 s/min = 0.202 min

Plugging in the values:

N = 16 * (20.8 min / 0.202 min)^2

N = 16 * 103.02^2

N ≈ 171,661

Therefore, the column has approximately 171,661 theoretical plates.

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Remainder 11. We are aware that when a number is split by three, the remainder is created by dividing the digit sum by three. The law of three's divisibility asserts that a number is entirely divisible by three if the sum of its digits is also three-digit divisible.

If a polynomial f(x) is divided by xa, the result is the constant f(a) and f(x)=q(x)(xa)+f(a), where q(x) is a polynomial of degree one lower than f(x )'s.

The remainder theorem asserts that "when a polynomial of degree p(x) is divided by a linear polynomial of degree x - a, the remaining is p(a)" (OR) "when a polynomial of degree p(x) is divided by a linear polynomial of degree ax + b, the remainder is p(-b/a)".

The law of three's divisibility asserts that a number is entirely divisible by three if the sum of its digits is also three-digit divisible. We are aware that when a number is split by three, the remainder is created by dividing the digit sum by three.

The formula reads as follows: f(x)/x + 3.

A 0 x + 3 = 0 divisor should be used.

Calculate x x = -3.

The remainder of the quotient is 11.

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Answer:

make another one show the whole equation

Answer:

Every Odd Integer is of the form 2q+1

Take 5 as our test odd Number

2(5) + 1 = 11.

This works and Nothing else will from the set of Options.

SO OPTION D IS LEGIT!

Answer:

The circumference of the pencil can be calculated using the formula C = πd, where C is the circumference and d is the diameter. Substituting the value of d as 7 mm and using the value of π as 22/7, we get:

C = (22/7) * 7 mm = 22 mm

Since the paper is wound around the pencil 8 times, the length of the paper would be 8 times the circumference of the pencil. So, the length of the paper is:

8 * C = 8 * 22 mm = 176 mm

Therefore, the length of the paper is 176 mm.

Answer:

D:  y = -x/3 + 2

Step-by-step explanation:

The key word here is "perpendicular."  If the given line has slope 3, the slope of any line perpendicular to this one is the NEGATIVE RECIPROCAL of 3:

m = -1/3.

This narrows down our answer choice to D:  y = -x/3 + 2, same as y = (-1/3) + 2.  The slopes of all other answer choices given here are incorrect.

Step-by-step explanation:

Percentage for Rollerblading

= Total - Percentage for Swimming - Percentage for Biking

= 100% - 43% - 15%

= 42%.

Answer:

The answer will be A

Answer: a. 2.3 x 10³

Step-by-step explanation:

You first divide 6.9 by 3 which is 2.3

When dividing numbers with exponents you subtract them, so you subtract th exponent 8 by the exponent 5 which is 3 (10³)

Answer:

Interval width

Step-by-step explanation:

In normal statistics, we calculate range as difference between Maximum Value and Minimum Value of the data given.

However, in group simple frequency distribution, we have what we call interval width which is simply the range of values contained in each interval.

To determine this interval width, we we divide the observed range by the number of intervals chosen.

Answer:

B. 1/2

Step-by-step explanation:

A scale factor is the ratio of corresponding lengths or dimensions between two similar geometric figures. For example, a scale factor of \(\frac{1}{2}\) means that the new shape will be half the size of the original.

If we look at ABC, we can see that the side BC has a side length of 20. Looking at DEF, the side that corresponds to BC is EF, and it has a side length of 10. To find the scale factor, we can take the new shapes side length, which is 10, and divide that by the old shapes side length, which is 20.

Therefore, the scale factor of ABC to DEF is \(\frac{1}{2}\).

Answer:

2:8

Step-by-step explanation:

the cutoff score that will make a student eligible for the program is approximately 94.8. Any student who scores below this cutoff will be eligible for the reading program

To determine the cutoff score, we need to find the score that corresponds to the bottom 5% of the distribution. Since the variable is normally distributed, we can use z-scores to calculate the cutoff. The z-score corresponding to the bottom 5% is -1.645, which represents the critical value for a one-tailed test at a significance level of 5%.

To find the cutoff score, we use the formula: cutoff score = mean - (z-score x standard deviation). Plugging in the values, we have: cutoff score = 122.6 - (-1.645 x 18) = 122.6 + 29.91 = 152.51.

Therefore, the cutoff score that will make a student eligible for the program is approximately 94.8. Any student who scores below this cutoff will be eligible for the reading program

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Answer:

x=5

y=20

Step-by-step explanation:

Answer:

-8-(-11)-7

= -8+11-7

= 3-7

= -4

Answer:

2

Step-by-step explanation:

\(m=\frac{y2-y1}{x2-x1} =\frac{2-(-2)}{6-4} =\frac{4}{2} =2\)

Answer:

23fgtgeredwwedcc cwr  werghwgweh geg hw thewhgehqg hqhjjhe vhjvhvbrg ghgrg hgeg hger  grgb weg r  vewehehgwerh e b jbh jh  hwj  jhtb    h,ewrkug

To approximate the value of π using the Leibniz method, you can write a Python program that calculates the sum of the series up to a certain number of terms. The more terms you include in the series, the closer the approximation will be to the actual value of π.

The Leibniz method, also known as the Leibniz formula for π, is an infinite series that converges to π/4. The formula is given by:

π = 4(1 - 1/3 + 1/5 - 1/7 + 1/9 - 1/11 + ...)

To approximate π, you can calculate the sum of the series up to a certain number of terms. The more terms you include, the more accurate the approximation will be.

In Python, you can write a program that iterates through the terms of the series and accumulates the sum. Here's an example of how you can implement it:

def approximate_pi(num_terms):

   pi = 0

   sign = 1

for i in range(1, num_terms*2, 2):

       term = sign * (1/i)

       pi += term

       sign *= -1

   return pi * 4

num_terms = 100000  # Choose the number of terms for the approximation

approximation = approximate_pi(num_terms)

In this example, we define the approximate_pi function that takes the number of terms as an argument. The function iterates from 1 to num_terms*2 with a step size of 2, representing the denominators of the series. The sign alternates between positive and negative to include the alternating addition and subtraction. Finally, we return the calculated sum multiplied by 4 to obtain the approximation of π.

By increasing the value of num_terms, you can achieve a more accurate approximation of π. However, keep in mind that the Leibniz method converges slowly, so a large number of terms may be needed for a precise approximation.

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Answer:

b,d

Step-by-step explanation:

80+3= 83 false

0+3=3 true

70+3= 73 false

60+3=63 true

69+3= 72 false

Hope this helps

\(\large\text{Hey there!}\)

\(\large\textsf{x + 3}<\large\textsf{70}\\\\\huge\textbf{SUBTRACT 3 to BOTH SIDES}\\\\\large\textsf{x + 3 - 3}<\large\textsf{70 - 3}\\\\\huge\textbf{CANCEL out: 3 -3 because it give you 1}\\\\\huge\textbf{KEEP: 70 - 3 because it help what is}\\\huge\textbf{being compared to the x-value}\\\\\large\text{NEW EQUATION: \textsf{x}} < \large\textsf{70 - 3}\\\\\large\text{SIMPLIFY IT!}\\\\\large\textsf{x}< \large\textsf{67}\\\\\huge\textbf{Thus, your answer is: \boxed{\mathsf{x < 67}}}\huge\checkmark\)

\(\large\textbf{It is an (O)(P)(E)(N) circle shaded to the LEFT side of the}\\\large\textbf{number starting at point 67.}\)

\(\large\text{Good luck on your assignment \& enjoy your day!}\)

To determine whether the triangle with vertices P(2, -1, -1), Q(3, 2, -3), and R(7, 0, -4) is right-angled, we can use vectors.

First, we calculate the vectors formed by the sides of the triangle:

Vector PQ = Q - P = (3, 2, -3) - (2, -1, -1) = (1, 3, -2)
Vector PR = R - P = (7, 0, -4) - (2, -1, -1) = (5, 1, -3)

Next, we take the dot product of these two vectors:

PQ · PR = (1, 3, -2) · (5, 1, -3) = 1 * 5 + 3 * 1 + (-2) * (-3) = 5 + 3 + 6 = 14

If the dot product is zero, then the two vectors are perpendicular, indicating that the triangle is right-angled.

In this case, since PQ · PR = 14 ≠ 0, the triangle with vertices P, Q, and R is not right-angled.

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Answer:

He divided by n instead of n-1.

It is sample data so we need to divide by n-1 not n.

Step-by-step explanation:

Answer:

The answer is B

Step-by-step explanation:

∅ means not equal to 0 it can be more or less but not equal to 0.

The equation for the tangent plane to the graph of f(x,y) is; z = e(x - π/2) + 1

Given the function

\(f(x,y) = y e^(sin(x+y))+1,\)

we are supposed to find the equation for the tangent plane to the graph of f(x,y) at the point where x = π/2 and y = 0

Tangent Plane: The equation for the tangent plane to a surface at point (x₀, y₀, z₀) is given by

z = f(x₀, y₀) + f1(x₀, y₀)(x - x₀) + f2(x₀, y₀)(y - y₀)

Where

f1(x₀, y₀) and f2(x₀, y₀) are the partial derivatives of f at (x₀, y₀).

Therefore, let us first evaluate the partial derivatives.

\(f(x, y) = y e^(sin(x+y))+1\\\\∂f/∂x  = y cos(x + y) e^(sin(x + y))\\\\∂f/∂y  = e^(sin(x + y)) + y cos(x + y) e^(sin(x + y))\\ \\= (1 + y cos(x + y)) e^(sin(x + y))\)

At the point (π/2, 0), we have;

f(π/2, 0) = 0  e^(sin(π/2 + 0))+1

= 1

f1(π/2, 0) = 0 cos(π/2 + 0)  e^(sin(π/2 + 0))

= 0

f2(π/2, 0) = (1 + 0 cos(π/2 + 0)) e^(sin(π/2 + 0))

= e^1

Therefore, the equation for the tangent plane to the graph of f(x,y) at the point where x = π/2 and y = 0 is;

z = 1 + 0(x - π/2) + e(x - π/2)(y - 0)

Simplifying we get,

z = e(x - π/2) + 1

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Approximately 0.13 percentage of people gave the movie a rating of 9.8 or better.

To answer this question, we will use the concepts of average, standard deviation, and the Z-score formula. Given the average rating of 8.3 points and a standard deviation of 0.5 points, we need to find the percentage of people who gave the movie a 9.8 or better.

First, we need to calculate the Z-score for 9.8 using the formula:

Z = (X - μ) / σ

Where X is the given rating (9.8), μ is the average rating (8.3), and σ is the standard deviation (0.5).

Z = (9.8 - 8.3) / 0.5 = 3

Now that we have the Z-score, we can use a Z-table or online calculator to find the percentage of people who gave the movie a rating of 9.8 or better. A Z-score of 3 corresponds to approximately 99.87% of the population falling below that score.

Since we are looking for the percentage of people who rated the movie 9.8 or better, we need to subtract this value from 100%:

100% - 99.87% = 0.13%

Therefore, approximately 0.13% of people gave the movie a rating of 9.8 or better.

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p(1, 2) is false.

p(1, 1) is false.

p(3, 3) is false.

p(2, 1) ∨ p(3, 1) is true.

p(1, 3) ∧ p(2, 3) is true.

¬p(2, 2) is true.

We are given the predicate p(x, y) and the universe for the variables x and y is {1, 2, 3}. The truth values of p(x, y) are explicitly given for specific values of x and y.

p(1, 2): Since we don't have this specific value given in the provided information, we assume it is false.

p(1, 1): Similarly, since we don't have this specific value given, we assume it is false.

p(3, 3): Again, since we don't have this specific value given, we assume it is false.

p(2, 1) ∨ p(3, 1): We check the truth value of both statements individually and apply the logical OR operation. From the given information, p(2, 1) is true and p(3, 1) is true. So, the overall statement is true.

p(1, 3) ∧ p(2, 3): We check the truth value of both statements individually and apply the logical AND operation. From the given information, p(1, 3) is true and p(2, 3) is false. So, the overall statement is false.

¬p(2, 2): The negation of p(2, 2) is evaluated. Since p(2, 2) is true according to the given information, its negation is false.

p(1, 2) is false.

p(1, 1) is false.

p(3, 3) is false.

p(2, 1) ∨ p(3, 1) is true.

p(1, 3) ∧ p(2, 3) is false.

¬p(2, 2) is false.

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The equation in the form of slope-intercept for Macario's hourly wage is y=9x+0.12s

What is a slope-intercept function?

A slope-intercept equation comprises the total amount paid as wages to Macario which includes the hourly rate of $9 multiplied by the number of hours spent working plus the 12% of total sales achieved by Macario, in essence, if we assume that the number of hours spent working is x and that total sale is s, the slope-intercept form that  represents Macario's hourly wage y is shown thus:

y=9x+0.12s

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Answer:x=6

Does this help ?

Step-by-step explanation:

Answer:

0.375

Step-by-step explanation:

Divide each term by

32

and simplify.

Exact Form: x=3/8

Decimal Form: x= 0.375