Problem 1 (3 pts). The nearest neighbor method is used with the following labeled training data in a two class, two feature problem. Show clearly the decision boundaries obtained. Indicate all break points and slopes correctly Class1={(0,0)^T,(0,1)^T}. Class2={(1,0)^T,(0,0.5)^T}

Answer:

3.14 mph

Step-by-step explanation:

5.5 divided by 1.75

5.5 is the miles

1.75 is the hours

Answer: The average speed on the return trip is 2.44 miles/h

Step-by-step explanation:

Answer:

c=2a-1 b=8a-4 a=a

add them all together and get the answer

Step-by-step explanation:

The graph of f(x) = x^3 -6x^2 + 4x +1 hits 3 times to the x-axis

Hence, option (D) is the correct choice.

We have the function:

f(x) = x^3-6x^2+4x+1

The values of the variable in a function that cause the function to equal zero are known as the zeros of the function. The places on the x-axis where the graph crosses the x-axis are known as a function's zeros graphically. In other words, we may say that a function's zeros are the graph's x-intercepts.

The zeros of the function will be:

x^3-6x^2+4x+1 = 0

Since the last term is positive, so (x-1) will be the factor of the above equation.

Factorising, we will get,

(x-1)(x^2-5x-1)=x^3-6x^2+4x+1

So, one factor will be x = 1

Now solving the quadratic equation,

The roots will be: \(x^2 = \frac{( 5 \pm \sqrt 29)}{2}\)

So, the value of both roots will be: (x-5.19)(x+0.192)

Therefore, the graph will hit x-axis at these three points.

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Answer:2.5

Step-by-step explanation:trust me

Answer:

rrfgggefgegeegfegefegegeegfgfgfdfefdfefgdfdfdddgedgdfdgedfgfedffdddfgfdgddfddfgdfdgdf

Answer:

18

Step-by-step explanation:

The answer is simply 0 cakes. The baker has 3 eggs, and each cake takes 5 eggs, which means the baker cannot make a full cake with just 3 eggs.

Therefore, the baker cannot make any full cakes. However, if the baker is allowed to use fractions of eggs, then the baker can make partial cakes. For example, if the baker uses 2/5 of an egg per cake, then the baker can make 3/(2/5) = 7.5 cakes (where 2/5 of an egg is equal to 1 cake). However, since the baker cannot use fractions of eggs, the answer is simply 0 cakes.

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Answer:

D for the first one and the second one

Step-by-step explanation:

i learned this trust me

Answer:

The yard in the drawing is 18 feet long

Step-by-step explanation:

The computation of the long yars in the following is as follow:

Given that

Scale used be 1 inch : 3 feet

And, the actual length is 54 feet

So, the long it would be

= 54 feet ÷ 3 feet

= 18 feet

Hence, The yard in the drawing is 18 feet long

Answer:

f(5)=5²-2(5)

=25-10

=15

replace the x with five

Answer:

y + 1 = 6(x - 4)

Answer: y + 1 = 6(x - 4)

The statement "The number of computers in a library" would match with the description "Quantitative and discrete data."

None of the given options match the calculated angular speed of (8/90)π radians/second.

The angular speed of an object moving in a circle is given by the formula:

Angular Speed = Distance traveled / Time taken

In this case, the ball travels around a circle of radius 4 m. The distance traveled by the ball in one complete revolution is equal to the circumference of the circle, which is given by:

Circumference = 2π * Radius = 2π * 4 = 8π meters

The ball completes one revolution in 1.5 minutes. Therefore, the time taken is 1.5 minutes or 1.5 * 60 = 90 seconds.

Now we can calculate the angular speed:

Angular Speed = Distance traveled / Time taken
            = 8π meters / 90 seconds
            = (8/90)π meters/second

So the angular speed of the ball is (8/90)π radians/second.

Comparing the given options:
a) 45 * 2π radians/second = 90π radians/second
b) 45 * π radians/second = 45π radians/second
c) 30 * π radians/second = 30π radians/second
d) 1.5 * 2π radians/second = 3π radians/second

None of the given options match the calculated angular speed of (8/90)π radians/second.

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The number of computers in a library is a whole number, and it can be counted and measured, so it falls into the category of quantitative and discrete data.

The correct statement matching is: Quantitative and discrete data.

Here's why: Quantitative data refers to numerical data that can be measured. It is used to define something that can be  counted or measured such as people, objects, time, length, etc. Quantitative data is used to collect data by counting, calculating, or measuring, and it is always numerical in nature.

Discrete data is a type of quantitative data where the values are counted and are finite. It is data that can only be defined in whole numbers. In this case, the number of computers in a library is a whole number, and it can be counted and measured, so it falls into the category of quantitative and discrete data.

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Answer:the left hand side is equals to |13| which is nothing but 13 so is the right hand side.

Step-by-step explanation:

Independent variables are the factors that are manipulated or controlled by the researcher in a study. In the context of investigating the impact of a school nutrition program on grade performance of high school students, the independent variable would be the school nutrition program itself.

The researcher would design and implement the program, and this variable would be under their control.

Dependent variables, on the other hand, are the outcomes or variables that are measured in a study and are expected to change as a result of the independent variable. In this case, the dependent variable would be the grade performance of the students. The researcher would collect data on the grades of the students before and after the implementation of the nutrition program, and this would be the variable that is expected to be influenced by the independent variable.

In summary, the independent variable in this research design is the school nutrition program, while the dependent variable is the grade performance of the students. The researcher would manipulate the independent variable (implement the nutrition program) and then measure the dependent variable (student grades) to determine if there is an impact of the program on grade performance.

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Based on the calculation, it appears that Matti had approximately 94 bottles of 0.5 litres and 11 bottles of 0.7 litres in the last patch of moonshine that he sold.

To solve the problem using the determinant method (Cramer's rule), we need to set up a system of equations based on the given information and then solve for the unknowns, which represent the number of 0.5 litre bottles and 0.7 litre bottles.

Let's denote the number of 0.5 litre bottles as x and the number of 0.7 litre bottles as y.

From the given information, we can set up the following equations:

Equation 1: 0.5x + 0.7y = 16.5 (total volume of moonshine)

Equation 2: 8x + 10y = 246 (total earnings from selling moonshine)

We now have a system of linear equations. To solve it using Cramer's rule, we'll find the determinants of various matrices.

Let's calculate the determinants:

D = determinant of the coefficient matrix

Dx = determinant of the matrix obtained by replacing the x column with the constants

Dy = determinant of the matrix obtained by replacing the y column with the constants

Using Cramer's rule, we can find the values of x and y:

x = Dx / D

y = Dy / D

Now, let's calculate the determinants:

D = (0.5)(10) - (0.7)(8) = -1.6

Dx = (16.5)(10) - (0.7)(246) = 150

Dy = (0.5)(246) - (16.5)(8) = -18

Finally, we can calculate the values of x and y:

x = Dx / D = 150 / (-1.6) = -93.75

y = Dy / D = -18 / (-1.6) = 11.25

However, it doesn't make sense to have negative quantities of bottles. So, we can round the values of x and y to the nearest whole number:

x ≈ -94 (rounded to -94)

y ≈ 11 (rounded to 11)

Therefore, based on the calculation, it appears that Matti had approximately 94 bottles of 0.5 litres and 11 bottles of 0.7 litres in the last patch of moonshine that he sold.

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Question

Matti is making moonshine in the woods behind his house. He’s selling the moonshine in two different sized bottles: 0.5 litres and 0.7 litres. The price he asks for a 0.5 litre bottle is 8€, for a 0.7 litre bottle 10€. The last patch of moonshine was 16.5 litres, all of which Matti sold. By doing that, he earned 246 euros. How many 0.5 litre bottles and how many 0.7 litre bottles were there? Solve the problem by using the determinant method (a.k.a. Cramer’s rule).

Answer: L = 36 feet approximately

The more accurate value is 35.9547644 feet, but this approximate value isn't exact either.

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

Explanation:

Ignore the vertical line and any byproducts of it.

Refer to the diagram below. Note that the 95 degree angle is from 15+80 = 95.

We can use the law of sines like so

sin(A)/a = sin(B)/b

sin(75)/200 = sin(10)/L

L*sin(75) = 200*sin(10)

L = 200*sin(10)/sin(75)

L = 35.9547644 which is approximate.

This rounds to roughly 36 feet when rounding to the nearest whole number.

Side note: We never use angle C = 95, and its opposite side.

The total amount of soup mix is 50 cups. We arrived at this answer by simplifying the sum using the regrouping in step 3.

What is Algebraic expression ?

Algebraic expression can be defined as combination of variables and constants.

The commutative property of addition can be used to change the order of the addends.

The associative property of addition can be used to change the grouping of the addends.

We can regroup the addends in a way that makes the addition easier. For example, we can group the like terms together as follows:

(7 + 1) + (4 + 2 + 3 + 4 + 2 + 2) + (3 + 3 + 1 + 1) + (4 + 2 + 2 + 1) + (7 + 1)

This regrouping makes it easier to add the like terms together, since we can add the terms within each parentheses first, and then add the resulting sums together. For example, we have:

8 + 17 + 8 + 9 + 8

This simplifies to:

50

Therefore, The total amount of soup mix is 50 cups. We arrived at this answer by simplifying the sum using the regrouping in step 3.

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OPTION A is the correct answer

Answer:

66/65.

Step-by-step explanation:

22/5 / 13/3

Invert the divisor and multiply.

---> 22/5 * 3/13

= 66/ 65

Answer:

\(y=2a-bx^2 \\ b{x}^{2} = 2a - y \\ {x}^{2} = 2 \frac{a}{b} - \frac{y}{b} \\ x = \sqrt{2 \frac{a}{b} - \frac{y}{b}} \)

Required initial value of the given expression dy/dt = y(y⁶) with y(0) = −7 is \(y = ±(7^6 * e^t)^{(1/6)}\)

To solve the initial value problem

\(dy/dt = y(y^6)\) with y(0) = -7, we can use separation of variables and integrate both sides of the equation.

Starting with the given differential equation:

\(dy/dt = y(y^6)\)

We can rewrite it as:

\(dy/y(y^6) = dt\)

Now, let's integrate both sides:

\(∫(dy/y(y^6)) = ∫dt\)

To integrate the left side, we can use substitution. Let u = y⁶, then du = 6y⁵ dy.

The equation becomes:

\(∫(1/u) du = ∫dt\\ln|u| = t + C_1\)

where \(C_1\) is the constant of integration.

Substituting back u = y⁶, we have:

\(ln|y^6| = t + C_1\)

Using the properties of logarithms, we can simplify further:

\(6ln|y| = t + C_1\)

Now, we need to solve for y. Taking the exponent of both sides:

\(e^{(6ln|y|)} = e^{(t + C_1)}\)

Using the properties of exponents, we get:

\(|y|^6 = e^t * e^{C_1}\)

Since \(e^{C_1}\) is a constant, we can combine it with the constant \(e^t\).

Let \(C_2 = e^{C_1}\), so \(|y|^6 = C_2 * e^t\)

Taking the sixth root of both sides and considering the absolute value \(|y| = (C_2 * e^t)^{(1/6)}\)

Since y(0) = -7, we can substitute t = 0 and solve for \(C_2\)

\(|-7| = (C_2 * e^0)^{(1/6)}\)

\(7 = C_2^{(1/6)} \\ C_2 = 7^6\)

Therefore, the solution to the initial value problem is \(|y| = (7^6 * e^t)^{(1/6)}\)

However, we need to consider both positive and negative values of y. Thus, the general solution is \(y = ±(7^6 * e^t)^{(1/6)}\)

So, the solution to the initial value problem dy/dt = y(y⁶) with y(0) = -7 is \(y = ±(7^6 * e^t)^{(1/6)}\)

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Correct question is "solve the initial value problem: dy dt = y(y⁶) with y(0) = −7"

There for the diameter is 2(4.8 )= 9.6 ft

Given: Volume of the cone is 83.7 m³

We know that:

\(\bigstar \ \ \boxed{\sf{\textsf{Volume of cone is given by} : \dfrac{\pi r^2h}{3}}}\)

where r is the radius of the cone and h is the height of the cone

Given: Height of the cone = 5m

Substituting the values in the formula, we get:

\(\sf{\implies \dfrac{\pi r^2(5)}{3} = 83.7}\)

\(\sf{\implies \pi r^2 = 83.7 \times \dfrac{3}{5}}\)

\(\sf{\implies \pi r^2 = 83.7 \times 0.6}\)

\(\sf{\implies \pi r^2 = 50.22}\)

\(\sf{\implies r^2 = \dfrac{50.22}{\pi}}\)

\(\sf{\implies r^2 = 16}\)

\(\sf{\implies r = 4}\)

We know that : Diameter is two times the radius

⇒  Diameter of the Cone is 8 meters

Answer:

176

Step-by-step explanation:

Apply PEMDAS

Solve the parenthesis first

11 ( 7 + 9 )

11 ( 16 )

Now open the parenthesis and you will have your answer

11 times 16

176

Answer:

  not direct variation

Step-by-step explanation:

You want to know if the equation y = 3x +2 represents a direct variation between x and y.

Direct variation is characterized by the equation ...

  y = kx

for a constant of variation k. The point (0, 0) is on a graph of direct variation.

The given equation is not in this form, and cannot be put in this form. The value of y when x=0 is not 0, so the variation is not direct.

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