the sum of twice a number and 15 less than the number is the same as the difference between -19 and the number. What is the number?

Answer:

d. all of the above

Step-by-step explanation:

K-means clustering is a term used to describe a technique of vector quantization, that attempts to partition "n" observations into "k" clusters whereby each observation refers to the cluster with the closest mean which represents a model of the cluster.

This implies that the K-means algorithm recognizes the "k" number of centroids, and then assigns every data point to the closest cluster while the centroids remain as small as possible.

Hence, the following is required of K-means clustering:

1. defined distance metric

2. number of clusters

3. initial guess of centroids

Therefore, in this case, the correct answer is option D: All of the above.

Answer:

[tex]\frac{1}{10}[/tex]

Step-by-step explanation:

If you originally have [tex]\frac{2}{5}[/tex] of your garden reserved for carrots, are taking [tex]\frac{1}{4}[/tex] of the carrot space ( [tex]\frac{2}{5}[/tex] ) for strawberries, then the total amount of your garden left for strawberries will be  [tex]\frac{2}{5}\cdot\frac{1}{4}[/tex]

[tex]\frac{2}{5}\cdot\frac{1}{4} = \frac{2}{20}[/tex]

[tex]\frac{2}{20}[/tex] simplifies down to [tex]\frac{1}{10}[/tex].

Hope this helped!

Answer:

GCF= 4

Step-by-step explanation:

A factor is a number that evenly divides into another number.

First, list the factors of 16.

1 , 2, 4, 8, 16

Next, list the factors of 36

1 , 2 , 3, 4, 6, 9, 12, 18, 36

Now, find the GCF, or greatest common factor. The GCF is the largest factor that both numbers share.

16 : 1 , 2, 4, 8, 16

36 : 1 , 2 , 3, 4, 6, 9, 12, 18, 36

When we compare the lists, we see the biggest number that appears in both lists is 4.

The Greatest Common Factor of 16 and 36 is 4.

Answer: 4

Step-by-step explanation: The Greatest Common Factor of two

numbers is the largest factor shared by both numbers.

As a review in case you didn't know, a factor of a

number divides into that number without a remainder.

To find the greatest common factor of 16 and 36,

we begin by finding all of the factors of each number.

Let's start by finding the factors of 16.

16 ÷ 1 = 16

16 ÷ 2 = 8

16 ÷ 4 = 4

We can stop here because if we continue

dividing, we won't find any new factors.

So the factors of 16 are 1, 2, 4, 8, and 16.

Now let's find the factors of 36.

36 ÷ 1 = 36

36 ÷ 2 = 18

36 ÷ 3 = 12

36 ÷ 4 = 9

36 ÷ 6 = 6

So the factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36.

Now find the largest number shared by the two lists.

In this case, the largest number is 4.

So the greatest common factor of 16 and 36 is 4.

Answer:

Step-by-step explanation:

Before we can determine the exact trigonometric ratios for the angle x whose radian measure is given as [tex]\dfrac{3\pi}{4}[/tex], we need to first determine the quadrant the angle falls into.

The angle [tex]\dfrac{3\pi}{4}[/tex] = [tex]\dfrac{3*180}{4} = 135^0[/tex] and it falls in the second quadrant. since the angle is positive, we will use the trigonometry ratio that is positive in the second quadrant. The trigonometry ratio that is positive in the second quadrant is sin(x) while others are negative.

[tex]sin \frac{3\pi}{4} = sin (\pi - \frac{\pi}{4} ) = sin\frac{\pi}{4} = \frac{1}{\sqrt{2} } \\cos \frac{3\pi}{4} =cos (\pi - \frac{\pi}{4} ) = -cos\frac{\pi}{4} = -\frac{1}{\sqrt{2} } \\tan \frac{3\pi}{4} = tan (\pi - \frac{\pi}{4} ) = -tan\frac{\pi}{4} = -1[/tex]

Step-by-step explanation:

Since the above sequence is a geometric sequence

For an nth term in a geometric sequence

That's

[tex]A(n) = a( {r})^{n - 1} [/tex]

where

r is the common ratio

a is the first term

n is the number of terms

From the question

a = 4.05

r = 1.35 / 4.05 = 0.33

Substitute the values into the above formula

We have

[tex]A(n) = 4.05( {0.33})^{n - 1} [/tex]

Hope this helps you

Answer:

-1

Step-by-step explanation:

Simplify the following:

x - 2/2 - x

Hint: | Reduce (-2)/2 to lowest terms. Start by finding the GCD of -2 and 2.

The gcd of -2 and 2 is 2, so (-2)/2 = (2 (-1))/(2×1) = 2/2×-1 = -1:

x + -1 - x

Hint: | Group like terms in x - 1 - x.

Grouping like terms, x - 1 - x = (x - x) - 1:

(x - x) - 1

Hint: | Look for the difference of two identical terms.

x - x = 0:

Answer:  -1

Answer:

  3x -2y = -5

Step-by-step explanation:

Standard form is ...

  ax +by = c

where the leading coefficient (a, or b if a=0) is positive and a, b, c are mutually prime.

Multiplying the equation by 2 gives ...

   2y = 3x +5

We can subtract 2y+5 to get standard form:

  3x -2y = -5

Answer:

4m + 2m = 6m

Step-by-step explanation:

Answer:

Larger

Step-by-step explanation:

Since, 7.401 > 7.04

Therefore, 7.401 is larger than 7.04.

Answer:

Larger.

7.401 = 7.40 (rounding)

7.40 > 7.04

Bye!

Answer:

0.25 of a pound, 1/4

Step-by-step explanation:

3 divided by 12 = 0.25

Answer: The inverse mass of the boat (B)

Step-by-step explanation:

The relationship between force, mass and acceleration is: [tex]F = ma[/tex]. So, the slope of the graph represents the inverse of the mass of the boat.

From the question, we understand that the graph is acceleration vs net force.

This means that, the points on the graph will be:

[tex](F_1,a_1)[/tex] and [tex](F_2,a_2)[/tex]

The slope (m) of a linear graph is:

[tex]m =\frac{y_2 - y_1}{x_2 - x_1}[/tex]

In this case, it will be:

[tex]m =\frac{a_2 - a_1}{F_2 - F_1}[/tex] ---- slope

Recall that:

[tex]F = ma[/tex]

Make mass (m) the subject

[tex]m = \frac Fa[/tex]

See attachment for further explanation

Hence, the slope of the graph represents (b) the inverse of the mass of the boat

Read more about force, mass and acceleration at:

https://brainly.com/question/1046166

Answer:

60°, 60°, 60°

Step-by-step explanation:

Since, two side of the given triangle are congruent l. Therefore, measures of both the interior angle will be equal.

By remote interior angle theorem:

120° = x + x

120° = 2x

120°/2 = x

60° = x

Third angle = 180° - 120° = 60°

Hence measure of all the three angles of the triangle are 60°, 60° and 60°

Answer:

433.6

Step-by-step explanation:

Answer:

A ' = (2, -3)

B ' = (1, -1)

See attached image below for the diagram

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

Explanation:

Point A is originally at (-6, 9). It moves to A ' (2,-3) after applying the scale factor. This is because we basically multiply the scale factor (-1/3) by each coordinate of point A

-6 * (-1/3) = 2

9 * (-1/3) = -3

The negative scale factor is like a mirror in a way. Points in negative regions move to positive regions, and vice versa. Since |-1/3| = 1/3 is less than 1, this means the new point (2,-3) is closer to (0,0) compared to its original counterpart.

Point B follows the same idea

B(-3,3) moves to B ' (1, -1) after multiplying each coordinate by -1/3

-------------

Side note: The segment A'B' is 1/3 as long compared to segment AB.

THE answer is 3.173≅3.2(nearest tenth)

Answer: B.) 1 and 111 only

Real, rational

Step-by-step explanation: Real is an encompassing terms when defining numbers as it includes all integers, whole, rational and irrational numbers. Therefore 75% belondmgs to a category of real numbers.

75% which is equivalent to 75/100 is a rational number as it can be written in the form p/q . where both p and q are integers and q is not 0. This also means 75% is not an irrational number.

75% = 0.75 is neither a whole number nor an integer as it contains decimal.

75% is not a natural number as natural numbers are counting numbers starting from 1.

Answer:

3 * 6 = 18

Step-by-step explanation:

53 * 26 =

= (50 + 3) * (20 + 6)

= 50 * 20 + 50 * 6 + 3 * 20 + 3 * 6

= 1000 + 300 + 60 + 18

Answer: 3 * 6 = 18

Answer:

[tex] -\frac{1}{40} [/tex]

Step-by-step explanation:

To evaluate [tex] -\frac{3}{8} - (-\frac{7}{20}) [/tex], start by opening the bracket.

When opening the bracket, we would be multiplying negative sign by negative sign, which equal positive sign.

Thus,

[tex] -\frac{3}{8} + \frac{7}{20} [/tex]

Solve further by performing addition operation to make both fractions one

The common denominator of 8 and 20 is 40,

[tex] \frac{5(-3) +2(7)}{40} [/tex]

[tex] \frac{-15 + 14}{40} [/tex]

[tex] \frac{-1}{40} = -\frac{1}{40} [/tex]

The answer of given expression in simplest form is:     [tex]\dfrac{-1}{40}\\[/tex]

The given expression is:

[tex]-\dfrac{3}{8} - (-\dfrac{7}{20})[/tex]

Multiplying negative sign with negative sign will result in positive sign of the latter term.

The simplification will be done as follows:

[tex]\\-\dfrac{3}{8} - (-\dfrac{7}{20})\\\\= -\dfrac{3}{8} + \dfrac{7}{20}\\\\=\dfrac{-3 \times 5 + 7 \times 2}{40}\\\\= -\dfrac{1}{40}\\[/tex]

In the above process, we the lcm of 8 and 20 was taken which is equal to 40.

Thus, the simplest form of the given expression is [tex]\dfrac{-1}{40}\\[/tex].

Learn more here:

https://brainly.com/question/24161414

Answer:

h = [tex]\frac{2A}{a+c}[/tex]

Step-by-step explanation:

Given

A = [tex]\frac{1}{2}[/tex](a + c)h

Multiply both sides by 2 to clear the fraction

2A = (a + c)h ( divide both sides by (a + c) )

[tex]\frac{2A}{a+c}[/tex] = h

Answer:

[see below]

Step-by-step explanation:

[tex]a = 1/2(a+c)h\\\\1/2(a+c)h = a\\\\2 * 1/2(a+c)h = a * 2\\\\h(a+c)=2a\\\\\frac{h(a+c)}{a+c}=\frac{2a}{a+c}; a \neq -c\\\\\boxed{h=\frac{2a}{a+c}; a \neq -c}[/tex]

Hope this helps.

Answer:

-4 and 4

Step-by-step explanation:

Hello!

An absolute value is a number regardless if it is negative or positive

For example, the absolute value of -6 is 6, -3 is 3 and 5 is 5

So numbers that have an absolute value of 4 are 4 and -4

Hope this Helps!

Answer:

2 / 5

Step-by-step explanation:

Fractions are written in the form part/whole, in this case, the part is 18 and the whole is 45 so the fraction would be 18 / 45 which simplifies to 2 / 5.

Answer: - A horizontal shift of 3 units to the left.

- A vertical dilation of factor 2.

- A vertical shift of 6 units down.

Step-by-step explanation:

Here we have 3 transformations:

I will start giving general cases for each transformation:

Horizontal shift.

When we have a function f(x), an horizontal shift to the right of N units (N positive) is written as:

g(x) = f(x - N)

So in our case, we have a shift to the LEFT of 3 units.

Vertical dilation/contraction.

A vertical dilation/contraction of factor A, is written as:

g(x) = A*f(x)

if A > 1, this is a dilation, if A < 1, this is a contraction.

In the case of our problem, we have A  = 2.

Vertical shift:

A vertical shift is written as:

g(x) = f(x) + N.

If N is positive, we have a shift of N units up, if N is negative, we have a shift of N units down.

in this case, N = -6.

Then the transformations are:

q(x) = 2*p(x -(-3)) - 6

- A horizontal shift of 3 units to the left.

- A vertical dilation of factor 2.

- A vertical shift of 6 units down.

Answer:

The cost of the dining set = $200

Step-by-step explanation:

Let

Cost of the dining set=x

Sixty percent of the cost of the dining set

= 60% of x

=60/100 * x

= 0.6x

One half the cost of the dining set decreased by $180.

=1 1/2 of x - 180

= 1.5 * x - 180

= 1.5x - 180

Sixty percent of the cost of the dining set is the same as one half the cost of the dining set decreased by $180

0.6x = 1.5x - 180

Collect like terms

0.6x - 1.5x = -180

-0.9x = -180

Divide both sides by -0.9

x= -180 / -0.9

=200

x= $200

Check:

0.6x

= 0.6(200)

=120

1.5x - 180

=1.5(200) - 180

= 300 - 180

=120

Answer:

The student must score at least 76 in the third subject

Step-by-step explanation:

Given

Scores in 2 subjects = 77 and 72

Number of subjects = 3

Required

Determine the scores in the third subject to get an average of 75

Represent the score in the third subject with y

Average in 3 scores is calculated as thus;

[tex]Average = \frac{Sum\ of\ 3\ scores}{3}[/tex]

Substitute 75 for Average

[tex]75 = \frac{Sum\ of\ 3\ scores}{3}[/tex]

Multiply both sides by 3

[tex]3 * 75 = \frac{Sum\ of\ 3\ scores}{3} * 3[/tex]

[tex]3 * 75 = Sum\ of\ 3\ scores[/tex]

[tex]225 = Sum\ of\ 3\ scores[/tex]

Substitute (77 + 72 + y) for Sum of 3 scores

[tex]225 = 77 + 72 + y[/tex]

[tex]225 = 149 + y[/tex]

Subtract 149 from both sides

[tex]225 - 149 = 149 - 149 + y[/tex]

[tex]225 - 149 = y[/tex]

[tex]76= y[/tex]

[tex]y = 76[/tex]

Hence, the student must score at least 76 in the third subject

Answer:

135°

Step-by-step explanation:

The supplement of an angle is the measure in which, when combined with the previous angle, will total up to 180°. Since we already know the measure of 1, we can easily find the supplement, assuming [tex]x[/tex] is the supplement of 45.

[tex]45 + x = 180\\\\x = 180-45\\\\x=135[/tex]

Hope this helped!

Answer:

A, B, C, D

Step-by-step explanation:

(A) Checking the Equal Variance Assumption, the appropriate technique to use is:

- The ANOVA (Analysis of Variance) F test

- Plot residuals against fitted values

(B) Checking the Normal Assumption, the appropriate techniques to use are:

- Test for Kurtosis & Skewness

- Kolmogorov-Smirnov Test

- Q-Q Plots (the graphical method) also known as Quantile Plot

- Do not use a histogram; it is not advisable

(C) Checking for Model Misspecification, the appropriate techniques to use are:

- The Ramsey Regression Specification Error Test; also called RESET

- The Davidson & MacKinnon J. Test

(D) Checking for dependent errors, the appropriate technique to use is:

- Plot residuals against time variables

Answer:

✔️AFE AND BFD

Step-by-step explanation:

vertical angles are angles are formed from a pair of intersecting lines. The vertical angles are angle AFE and BFD

These angles are formed from a pair of intersecting lines, The meet at a point X in a figure.

from the given figure, we need to find which of the angles are vertical angles. Since vertical angles are equal, hence the measure of this angles must be equal.

From the diagram, the vertical angles are angle AFE and BFD

Learn more on vertical angles here: https://brainly.com/question/4191966

#SPJ5

Answer:

12.3 = y

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos theta = adj/ hyp

cos 35 = y/15

15 cos 35 = y

12.28728066 = y

To the nearest tenth

12.3 = y