What is the value of the expression below when x = 3 and y = 2? 6x - y

Answer:

(8,6)

Step-by-step explanation:

count manually to get (8,6)

when running a line, in a right-triangle, from the 90° angle perpendicular to its opposite side, we will end up with three similar triangles, one Small, one Medium and a containing Large one.  Check the picture below.

\(\cfrac{x}{48}=\cfrac{48}{64}\implies \cfrac{x}{48}=\cfrac{3}{4}\implies 4x=144\implies x=\cfrac{144}{4}\implies \boxed{x=36}\)

A. Arc Length =\(∫√(1 + (dy/dx)^2) dx from x = 1 to x = 2.\)

B. Surface Area = \(2π ∫ x^3 * √(1 + (3x^2)^2) dx from x = 1 to x = 2.\)

The integrals for the given curve y = x^3 between x = 1 and x = 2.

a) To find the arc length of the curve, we'll use the arc length formula:

Arc Length =\(∫√(1 + (dy/dx)^2) dx from x = 1 to x = 2.\)
First, find the derivative dy/dx:
dy/dx = d(x^3)/dx = 3x^2.

Now, substitute into the formula and set up the integral:
Arc Length =\(∫√(1 + (3x^2)^2) dx from x = 1 to x = 2.\)
b) To find the surface area when the curve is revolved about the x-axis, we'll use the surface area formula:

Surface Area = \(2π ∫ y * √(1 + (dy/dx)^2)\)dx from x = 1 to x = 2.

Substitute y = x^3 and dy/dx = 3x^2 into the formula and set up the integral:
Surface Area = \(2π ∫ x^3 * √(1 + (3x^2)^2)\) dx from x = 1 to x = 2.

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Answer:

Domain: all real numbers, where \(x\geq 2\)

Range: all real numbers, where \(y\geq 3\)

Step-by-step explanation:

I hope this helps!

Answer:

B) (6, 17)

Step-by-step explanation:

y = 3x - 1

To find a solution to the equation

Let x = 6

y = 3*6 -1

y = 18-1

y = 17

One possible solution is ( 6,17)

This is choice B

Answer:

2x^2+10-3x

Step-by-step explanation:

start by multiplying numberes into the parentheses.

2x^2+10-3x-3+3

now combine like terms

2x^2+10-3x

Answer:

1.646 > 1.43

hope this helped

> = greater

Step-by-step explanation:

Answer:

1.646 i think-

Step-by-step explanation:

Answer: C

Step-by-step explanation: The slope of Function A is 6 and the slope of Function B is 5.

The estimated market value of Citrus County's assets, with an average duration of 8 and a market value of $1 million, would be approximately $1,055,284 if the interest rate changes to 4%.

In this case, the assets have an average duration of 8. When the interest rate changes from 5% to 4%, the change in interest rates is 1%. By applying the duration formula, the estimated percentage change in the market value of the assets would be approximately -8% (negative duration multiplied by the change in interest rates).

To calculate the estimated market value, we need to multiply the estimated percentage change (-8%) by the current market value ($1 million) and add it to the current market value. Thus, the estimated market value would be approximately $1,055,284 (1,000,000 + (1,000,000 * -8%)).

Duration is a measure of the sensitivity of an asset's price to changes in interest rates. It provides an estimate of the percentage change in the market value of an asset for a given change in interest rates. The duration formula states that the percentage change in the market value of an asset is approximately equal to the negative duration multiplied by the change in interest rates.

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Step-by-step explanation:

2x^2+1=3

2x^2=2

x^2=1

square root both sides

x = +1, -1

since qtesting is asking for a positive value,

x=1

Answer:

x = 1

Step-by-step explanation:

2x² + 1 = 3

2x² = 2

x² = 1

x = 1, -1

However, we only want the positive value so the answer is 1

a) The probability that in the next eight tries, the number of free throws he will make exactly 8 is equals to the 0.27249.

b) The probability that in the next eight tries, the number of free throws he will make exactly 5 is equals to the 0.08386.

We have a professional basketball player makes 80% of the free throws he tries.

let X be the number of free throws he will make in the next 8 tries. He makes 80% of the free thwors he tries. So, for binomial distribution, X~Bin(8,0.80)

so the probability mass function of X is P[X =x] = ⁸Cₓ 0.85ˣ (1-0.85)⁽⁸⁻ˣ⁾, x = 0,1, 2,..8

P[ X = x] = 0 otherwise.

a) So, the probability that he makes exactly 8 throws isP,(X=8)

= ⁸C₈(0.85)⁸ (1- 0.85)⁰

=0.27249

b) the probability that he makes exactly 5 throws is, P[X=5]

=⁸C₅0.855(1-0.85)⁽⁸⁻³⁾=56×0.855×0.153

=0.08386

Hence required probability is 0.083.

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Answer:

2+2=4

Step-by-step explanation:

Imagine 2 lItTlE fishies in a pond, 2 more little FIsHiEs swim next to them, how many FisHiEs are in a group? Four WiDdlE fiShies are in the pond. Good LuCk

Binning - Recoding

Imputation - Mathematical manipulation

Dimension reduction - Mathematical manipulation

Recoding - Mathematical manipulation

Omission - N/A (This is not a data preprocessing technique, but rather a decision to exclude certain data points from analysis)

Mathematical manipulation - N/A (This is not a specific data preprocessing technique, but rather a broad category that includes various techniques such as scaling, normalization, transformation, etc.)

Binning: This technique is used to transform numerical data into categorical data by dividing a continuous variable into discrete intervals or "bins". This can be useful for reducing the impact of small variations in numerical data, and for making data more manageable for certain types of analysis. The preprocessing function for binning is usually recoding, although it could also involve mathematical manipulation to create the bins.

Imputation: This technique is used to replace missing data values with estimated values based on other available data. This can be useful for maintaining the size and integrity of a dataset, and for avoiding bias in statistical analysis. The preprocessing function for imputation is mathematical manipulation, which may involve calculating average or median values, or using more sophisticated methods such as regression or machine learning.

Dimension reduction: This technique is used to reduce the number of variables or features in a dataset, while preserving as much of the relevant information as possible. This can be useful for simplifying complex datasets, speeding up analysis, and avoiding overfitting in machine learning models. The preprocessing function for dimension reduction is mathematical manipulation, which may involve techniques such as principal component analysis (PCA), factor analysis, or feature selection.

Recoding: This technique is used to transform categorical data into numerical data, or to transform data from one type or format to another. This can be useful for making data more compatible with certain types of analysis or modeling, and for improving the interpretability of results. The preprocessing function for recoding is usually mathematical manipulation, although it could also involve binning or other techniques.

Omission: This technique involves excluding certain data points or observations from a dataset, either because they are irrelevant or because they are problematic in some way (e.g. outliers or errors). This can be useful for improving the quality and reliability of data, and for increasing the efficiency of analysis. However, it can also lead to bias or incomplete results if the omitted data is important. The preprocessing function for omission is N/A, since it involves simply removing data rather than transforming it.

Mathematical manipulation: This is a broad category of data preprocessing techniques that involves various types of mathematical and statistical operations on data, such as scaling, normalization, transformation, or feature engineering. These techniques are used to prepare data for analysis or modeling, to improve the quality and relevance of results, and to reduce the impact of noise or errors. The preprocessing function for mathematical manipulation is usually mathematical manipulation itself, although it could also involve other techniques such as binning, imputation, or dimension reduction in some cases

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The number of hours required for 15 people to build the fence is approximately 3 hours.

According to the given information, the number of hours required to build a fence is inversely proportional to the number of people working on it. In other words, as the number of people increases, the amount of time required to complete the fence decreases.

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The scale factor was applied to the first diamond is 2.5

From the question, we have the following parameters that can be used in our computation:

The diamonds

The scale factor is calclated as

scale factor = Diamond 2/Diamond 1

Substitute the known values in the above equation, so, we have the following representation

scale factor = 1.5/0.6

Evaluate

scale factor = 2.5

Hnce, the scale factor is 2.5

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Answer:

Let the integers are p and q.

In case both integers are positive or negative, you add the numbers up and apply their sign to the sum.

Examples:

In case one of the integers is negative and one positive.

Use absolute value in this case.

Subtract the numbers and apply the sign of the number with the greater absolute value.

Examples:

Step-by-step explanation:

Let the numbers be x and y

If both are of same signs then

|x + y| = x + y

-|x + y| = -(x + y) = -x - y

If one is negative and one is positive

-|x + (-y)| = -|x - y| = -x + y

-|y + (-x)| = -|y - x| = -y + x

Using the formula of area of a circle, about 226.08in² has been eaten

The diameter of the pizza is given as 24 inches. To calculate the area of the entire pizza, we need to use the formula for the area of a circle:

Area = π * r²

where π is approximately 3.14 and r is the radius of the circle.

Given that the diameter is 24 inches, the radius (r) would be half of the diameter, which is 12 inches.

Let's calculate the area of the entire pizza first:

Area = 3.14 * 12²

Area = 3.14 * 144

Area ≈ 452.16 square inches

Now, if half of the pizza is consumed, we need to calculate the area of half of the pizza. To do that, we divide the area of the entire pizza by 2:

Area of half of the pizza = 452.16 / 2

Area of half of the pizza ≈ 226.08 square inches

Therefore, if half of the pizza is consumed, approximately 226.08 square inches of pizza would be eaten.

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Answer:

They do have the same solution

Step-by-step explanation:

In the first problem, you subtract 3/4 first. Next you would divide by 2/3. When you divide 7 1/4 by 2/3, you get 87/8. The only step in the second problem is to divide 87 by 8 (87/8).

5

0-(-5) =5. ( big minus small)

==========================

Answer:the cone is 9 cm

Step-by-step explanation:

Let h be the height of the cone.

Diameter = 8 cm

Radius = 4 cm

Volume = 48π cm3

31​π×(4)2×h=48π

Answer:

9cm

Step-by-step explanation:

Step-by-step explanation:

Mean x¯¯¯ 58003

Median x˜ 58003

Mode 58003

Range 3

Minimum 58002

Maximum 58005

Count n 7

Sum 406021

Quartiles Quartiles:

Q1 --> 58002

Q2 --> 58003

Q3 --> 58003

Interquartile

Range IQR 1

Outliers 58005

copy machine goes brr

Answer:

D. 25% decrease

Step-by-step explanation:

Since it's clear that they read less books to find how much it decreased we multiply 100 with 15 then divide it by 20

100 × 15 ÷ 20 = 75 this result shows a 25% decrease.

Answer:

i think 132. but I could be wrong.

Step-by-step explanation:

Answer:

\(60\pi\)

Step-by-step explanation:

Use this arc length formula,

\(s = r \times x\)

where s is the arc length, r is the radius and x is the radians.

\(30 \times 2\pi = 60\pi\)

Answer:12 boys

Step-by-step explanation:100-60=40 40% of 30 is 12

The standardized test statistic t is approximately -0.429 rounded to three decimal places

To determine the standardized test statistic t for testing the claim ρ = 0, use the formula:

t = r × √((n - 2) / (1 - r²))

Given:

r = -0.541 (correlation coefficient)

n = 20 (sample size)

α = 0.01 (significance level)

Let's plug in the values and calculate t:

t = (-0.541) × √((20 - 2) / (1 - (-0.541)²))

Calculating the expression inside the square root:

(20 - 2) / (1 - (-0.541)²) = 0.629

Now substituting this value into the formula:

t =(-0.541) × √(0.629) = -0.541 ×0.793 = -0.429

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