What is the coordinate of M?

Answer:

greatest because 15.01>15

Answer:

15.01 is greater.

Step-by-step explanation:

Sqare root of 225 is 15.

The sum of the numbers 3+6+9+12+....+150 is 3825. To find the sum of an arithmetic series, you can use the formula:

Sum = (n * (a1 + an)) / 2

where n is the number of integers, a1 is the first integer, and an is the last integer.

In this case, the series is 3, 6, 9, ..., 150, and it's an arithmetic series with a common difference of 3. To find the number of integers (n) in the series, use the formula:

n = ((an - a1) / common difference) + 1

n = ((150 - 3) / 3) + 1 = (147 / 3) + 1 = 49 + 1 = 50

Now, use the sum formula:

Sum = (n * (a1 + an)) / 2
Sum = (50 * (3 + 150)) / 2
Sum = (50 * 153) / 2
Sum = 7650 / 2
Sum = 3825

So the sum of the given series is 3825.

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Answer:

Step-by-step explanation:

Factorize each:

GCF = w*w*w = w³

Greatest common factor means we need GCF

Let's find

GCF=w^3

Done

Answer:

associative property

Step-by-step explanation:

because it involves grouping

The third column of the inverse of the matrix, A = \(\begin{bmatrix}-2 & -5 & -13 \\4 &5 &11 \\1 &2 &6 \\\end{bmatrix}\), obtained using the product of A and the third column of A⁻¹ is; \(\begin{bmatrix} 1 \\ -3\\ 1 \\\end{bmatrix}\)

The product of a matrix and the inverse of the matrix is the multiplicative identity.

The specified matrix can be presented as follows;

A = \(\begin{bmatrix}-2 & -5 & -13 \\4 & 5 & 11 \\1 &2 & 6 \\\end{bmatrix}\)

The third columns of the inverse of the matrix, A, A⁻¹, can be obtained without computing the other two columns, as follows;

The inverse of the matrix A, A⁻¹ is the solution of the following matrix equation;

Ax = \(e_i\)

Where;

\(e_i\) = The column i of the identity matrix

x = The third column of the inverse matrix

Therefore, for the third column, we get;

\(e_i\) = \(e_3\) = \(\begin{bmatrix}0 \\ 0\\1\\\end{bmatrix}\)

Ax = \(e_3\) = \(\begin{bmatrix}0 \\ 0\\1\\\end{bmatrix}\)

Therefore;

x = \(e_i\)/X, which using a graphing calculator, indicates;

\(x = \frac{\begin{bmatrix}0 \\ 0\\1\\\end{bmatrix}}{\begin{bmatrix}-2 & -5 & -13 \\4 & 5 & 11 \\1 &2 & 6 \\\end{bmatrix}} = \begin{bmatrix}1 \\ -3\\1\\\end{bmatrix}\)

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ANSWER:

140

EXPLANATION:

Given:

We can go ahead and simplify as seen below;

Therefore the answer is 140

Answer:

3a

Step-by-step explanation:

9/3 = 3

\(a^{3}/a^{2} = a^{3 -2} = a\)

b / b = 1

3 x a x 1 = 3a

Answer:

3a

Step-by-step explanation:

First, cancel the 3 at the bottom by getting rid of it and changing the 9 to a 3. You can do this because 3 is one third of 9.

With the division property of exponents, you have to subtract 3-2 and you can leave a to the power of 1 on the numerator.

Then, cancel the b's out by getting rid of them.

You will be left with 3a.

Let X = number of red Skittles in a fun size Skittles package. Then X is a random variable, which means its value is uncertain and subject to chance.

The possible values of X range from 0 (if there are no red Skittles in the package) to the total number of Skittles in the package (if all Skittles are red). The probability distribution of X describes the likelihood of each possible value occurring.

The terms you've mentioned relate to the number of red Skittles in a fun size package. In this context, X represents a discrete random variable, as it can take on a finite number of distinct values (i.e., the possible counts of red Skittles in each package).

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Answer:

1. 496 ft, 2. 126 mm, 3. 880 in, 4 168 cm, 5. 960m, 6. 42

Step-by-step explanation:

SA= Surface area, and surface area is A=2(w×l+h×l+h×w) and volume is V=w×h×l

W=width

H=height

L=length

Answer:

1. SA=58

2. SA=48

3. SA=78

4. V=168

5. V=960

6 V=420

Step-by-step explanation:

on 1-3 you are looking for the surface area and in order to look for the surface area of a rectangle prism it is 2(height)x2(lenght)x2(width). so you just plug in the number height is how tall the shape is, length is how long the shape is and width is hpw far the shape goes back. then you multiply the H, L, W by 2 and the you add all of the numbers and boom you get your answer.

Now for the Volume you just multiply the heigh x length x width and boom you answer

A property of the exponential distribution is that the mean equals the standard deviation.

The exponential distribution is a probability distribution that models the time between successive events in a Poisson process, where events occur continuously and independently at a constant rate.

The probability density function of the exponential distribution is given by:

f(x) = λe⁻ˣ, for x ≥ 0

where λ is the rate parameter, which represents the average number of events per unit time.

The mean of the exponential distribution is given by:

μ = 1/λ

The variance of the exponential distribution is given by:

σ² = 1/λ²

The standard deviation of the exponential distribution is the square root of the variance:

σ = 1/λ

Therefore, we can see that the mean and standard deviation of the exponential distribution are equal:

μ = σ = 1/λ

This property is a consequence of the fact that the exponential distribution is a memoryless distribution, which means that the probability of an event occurring within a certain time interval does not depend on how much time has already elapsed. This property also makes the exponential distribution useful in modeling waiting times and failure times.

Hence, A property of the exponential distribution is that the mean equals the standard deviation.

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25 minutes long

Hope this helps!

Ok so we know that the movie starts at 7:15 PM. The duration of the movie is 1.5 hours long. She begins eating her snack after the movie which, sense 7:15 plus 1.5 hours is 8:45, is 8:45. She finishes her snack at 9:10. What is the difference between 9:10 and 8:45?

For me, the easiest thing to do we would be to add a half hour (30 minutes) to the 8:45. This gets 9:15. Since 9:15 is past 9:10, I subtract the difference to get 5 minutes. I then take the 30 minutes I added to the 8:45 and subtract the 5 minutes that it went over to get 25 minutes. This is the easiest way to get the answer in my opinion. Sorry if this could not be of help to you!

Diagram to better understand maybe? (I did the best I could with this lol)

                                              x (the 25 minutes you found once you solved it)

                                                                                      ^

7:15 PM ----------------------------- 1.5 hours later----------------------------------- 9:10 PM

^                                                          ^                                                            ^

Time the movie started          Movie length             When she finished eating

Answer:

Step-by-step explanation:

Filling rate is:

Total volume is 50 l, time required to fill is:

The expression (1/7)a + (1/7) factored is  (1/7)(a + 1).

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

Given, an expression in fractions (1/7)a + (1/7).

Now GFC of (1/7)a and (1/7) is (1/7).

∴  (1/7)a + (1/7).

= (1/7)(a + 1).

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Answer:

You can use the side lengths to determine the angle by using trig. Sin, cosins, and tangent.

Answer:

h = A*2/a+b

Step-by-step explanation:

Answer:

Step-by-step explanation:

-5n = 13 - 3m

Subtract 13 from both sides

-5n - 13 = -3m

Multiply the whole equation by (-1)

-5n *(-1) - 13*(-1) = -3m*(-1)

5n + 13 = 3m

Divide both sides by 3

\(\dfrac{5n+13}{3}=m\\\\\\m =\dfrac{5n+13}{3}\)

Answer:

Here is a picture of how you will graph this equation

Step-by-step explanation:

Hope this Helped

Answer:

Slope= 0  Y-intercept= (0,2)

Step-by-step explanation:

The options that are valid generalizations about the composition of the salad are as follows:

B. There are no oranges in the fruit salad

C. Pieces of pear make up the majority of fruit salad.

D. Pieces of pineapple make up about 10% of fruit salad.

In total, there are 100 fruits in the salad mix. Of the fruits mentioned, there are no oranges. Next, there are 55 pieces of pear out of the 100 available and this makes up more than half of the entire fruit content, so it is right to say that pear makes up the majority.

Also, there are 10 pineapples of the 100 fruits and this is 10 percent. So, the three options above are correct.

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The surface with the given vector equation, r(s, t) = (s cos(t), s sin(t), s), is a circular cone.

The vector equation r(s, t) = (s cos(t), s sin(t), s) represents a surface in three-dimensional space. Let's analyze the equation to determine the nature of the surface.

In the equation, we have three components: s, cos(t), and sin(t). The presence of s indicates that the surface expands or contracts radially from a central point. The trigonometric functions cos(t) and sin(t) determine the angle at which the surface extends in the x and y directions.

By observing the equation closely, we can see that as s increases, the radius of the surface expands uniformly in all directions, while the height remains constant. This behavior is characteristic of a circular cone. The circular base of the cone is defined by s cos(t) and s sin(t), and the vertical component is determined by s.

Therefore, the surface described by the vector equation r(s, t) = (s cos(t), s sin(t), s) is a circular cone.

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The probability that a student completely guesses on every question and makes a perfect score of a 100% is 1/64 or approximately 0.0156 or 1.56%.

What is probability?

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain to happen.

The number of possible answer responses for each question is 4, since there are 4 options.

The number of possible answer responses for all 3 questions can be found by multiplying the number of possible answer responses for each question. Therefore, the total number of possible answer responses for the quiz is 4 x 4 x 4 = 64.

If the student completely guesses on every question, there is a 1 in 4 chance (or a 25% chance) of getting each question correct. Since there are 3 questions, the probability of getting all 3 questions correct is (1/4) x (1/4) x (1/4) = 1/64.

Therefore, the probability that a student completely guesses on every question and makes a perfect score of a 100% is 1/64 or approximately 0.0156 or 1.56%.

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Answer:

100 m^2

Step-by-step explanation:

The scale factor of the volume of solids is the cube of the scale factor of linear dimensions.

The scale factor of the area of solids is the square of the scale factor of the linear dimensions.

Volume scale factor:

125/729 = (5/9)^3

Linear scale factor:

5/9

Area scale factor:

(5/9)^2 = 25/81

Proportion to find the area of the smaller one:

Let the area of the smaller one equal x.

25/81 = x/324

81x = 25 * 324

Divide both sides by 81

x = 25 * 4

x = 100

Answer: 100 m^2

Answer:

15/12

Step-by-step explanation:

\(x = \frac{31}{12} - \frac{8}{6} = \frac{15}{12} \)

and it says don't reduce otherwise u could also say 5/4

Answer:

138

Step-by-step explanation:

180-42=138

the entire angle is a 180 angle but a is 138

Answer:

8

Step-by-step explanation:

4/(1/2) =(4x2)/1 =8

Answer:

answer ---> 8

Step-by-step explanation:

         use this rule: a ÷ b/c = a × c/b.

             4 × 2

       simplify

           8

The inverse of the function f(x) = 2x+1 is (x-1)/2.

The output of a function is returned by the inverse function, which also returns the initial value. Consider the inverse relationship between the functions f and g: f(g(x)) = g(f(x)) = x. The initial value is fetched via a function that is its inverse.

Given;

Function, f(x) = 2x + 1.

To find the inverse of the function:

First, let y = f(x)

That is,

y = 2x +1

Then, make x the subject of the equation

y = 2x + 1

To make x the subject of this equation:

First, subtract 1 from both sides

We get

y -1 = 2x

Now, divide both sides by 2.

x = (y-1)/2

Now, rewrite as f⁻¹(x) by replacing y by x.

That is,

f⁻¹(x)  =  (x-1)/2

Therefore, the inverse of the function f(x) is (x-1)/2.

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Answer:

acute angle

Step-by-step explanation:

The acute angle is the angle that has an amplitude of less than 90°. The obtuse angle, on the other hand, has a width greater than 90°. The right angle measures 90° and its sides are orthogonal.

Answer:

an angle less than 90° is an acute angle

Step-by-step explanation:

an angle less than 90° is an acute angle

an angle equal to 90° is a right angle

an angle greater than 90° but less than 180° is an obtuse angle

an angle greater than 180° is a reflex angle

The number of populations or treatments being compared in single factor ANOVA is represented by the capital letter "k."

Single factor ANOVA is a statistical technique used to compare the means of two or more populations or treatments. The number of populations or treatments being compared is denoted by the letter "k," which represents the number of levels or groups in the independent variable. The one-way ANOVA test is used when there is only one independent variable, and it is used to test the null hypothesis that the means of all the populations or treatments are equal. The ANOVA test calculates the variance within each group, as well as the variance between the groups, and uses this information to determine if there is a significant difference in means between the groups. The number of populations or treatments being compared is an important parameter in ANOVA because it affects the degrees of freedom, which in turn affects the critical value and the p-value used to determine statistical significance.

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Answer:

1 +2+3+4+5

aub 314+5

sub 1-2-3-4_5_6

1234567

Answer:

y=58°

Step-by-step explanation:

calculator

A linear programming problem with two decision variables can be solved by a graphical solution method. In this method, the constraints and the objective function of the linear programming problem are graphed on a two-dimensional coordinate plane, and the optimal solution is found at the intersection of the feasible region (the area defined by the constraints) and the level curve of the objective function.

The graphical solution method is a simple and intuitive way to solve linear programming problems with few decision variables, but it becomes impractical as the number of decision variables and constraints increase. In such cases, more complex algorithms, such as the simplex method or interior point methods, are used to find the optimal solution.

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