Which angles are supplementary and vertical?

Answer:

lily - 5

5+8= 13

James - 13

13+5= 18

18-75= 57

Michael - 57

Answer:

(3\(\sqrt{3x}\))/3x+2, x can not be -2/3

Step-by-step explanation:

You basically divide the two functions. (I hope it's correct)

We know that y varies directly with x.

First we need to find the constant of variation

7=14k

k= 7/14

k=1/2

the equation that relates x and y is

Step-by-step explanation:

Solution:

Here,

C.P.=Rs 500

Profit=Rs 170

Now,

S.P.=C.P.+Profit

=Rs 500+170

=Rs 670

Keep smiling and hope u r satisfied with my answer.Have a great day :)

The set of integers is a Pythagorean triple are option (A) 10, 24, 25 and (D) 6, 8, 10

A Pythagorean triple is a set of three positive integers a, b, and c, such that a^2 + b^2 = c^2, which represents the sides of a right triangle.

Let's check each set of integers

A. 10^2 + 24^2 = 100 + 576 = 676 = 25^2. Therefore, (10, 24, 25) is a Pythagorean triple.

B. 9^2 + 12^2 = 81 + 144 = 225 = 15^2. Therefore, (9, 12, 15) is a Pythagorean triple. However, the set given is (9, 12, 21), which is not a Pythagorean triple.

C. 8^2 + 15^2 = 64 + 225 = 289 = 17^2. Therefore, (8, 15, 17) is a Pythagorean triple. However, the set given is (8, 15, 23), which is not a Pythagorean triple.

D. 6^2 + 8^2 = 36 + 64 = 100 = 10^2. Therefore, the set of integers (6, 8, 10) is a Pythagorean triple.

Therefore, the correct options are (A) 10, 24, 25 and (D) 6, 8, 10

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The given question is incomplete, the complete question is:

Which set of integers is a Pythagorean triple?

A.

10, 24, 25

B.

9, 12, 21

C.

8, 15, 23

D.

6, 8, 10

Answer:

I don't know I don't know about question

Step-by-step explanation:

The question basically requires us to check if the number is between the two range of numbers;

Lower limit = .006

Upper limit = .14

.006: This is the lower limit, hence it lies between.

.14: This is the upper limit, hence it lies between.

.001 :  This number is below the lower limit, hence it does not lie between the numbers.

.110: This number is below the upper limit but above the lower limit hence it lies between the numbers.

.05: This number is below the upper limit but above the lower limit hence it lies between the numbers.

.042: This number is below the upper limit but above the lower limit hence it lies between the numbers.

.0014: This number is below the lower limit, hence it does not lie between the numbers.

.18: This number is above the upper limit, hence it does not lie between the numbers.

Answer:

x = 1.2

Step-by-step explanation:

\(\frac{10x-3}{3}\) + \(\frac{5x+2}{4}\) = 5

You would want to make the denominators of both fractions the same first. Their lowest common multiple is 12, so we shall make the denominators 12 by multiplying the first fraction by 4 and the second fraction by 3.

\(\frac{4(10x-3)}{12}\) + \(\frac{3(5x+2)}{12}\) = 5

Simplify.

\(\frac{40x-12}{12}\) + \(\frac{15x+6}{12}\) = 5

Now we can combine both fractions together since their denominator is the same.

\(\frac{40x-12+15x+6}{12}\) = 5

Simplify.

\(\frac{55x-6}{12}\) = 5

Isolate 55x-6.

55x-6 = 5 × 12

Simplify.

55x-6 = 60

Isolate the 55x.

55x = 60+6

Simplify.

55x = 66

Find x.

x = \(\frac{66}{55}\)

Simplify.

x = 1.2  

The combinatorial testing method is an effective way of testing all possible options before making a decision.

When you are faced with a decision to be made, it is necessary that you make use of all the possible options before you. Failing to make use of all the options is like taking a shot in the dark and hoping to hit a target.

When you have N simple conditions combined, it is important that you test all N-1 possibilities for the best outcome. This implies that you must test all possible options before making a decision.

The simple conditions here refer to the different options that you may have before you. Each option is a simple condition. This means that if you have three different options to choose from, you have three simple conditions. The conditions may be combined in different ways, leading to different possibilities. You need to test all the possibilities before making your decision

This method of testing all possible options is known as the combinatorial testing method. It is a useful method for ensuring that you make the best decisions possible. It can be applied in a variety of fields such as engineering, medicine, and business. The method has been proven to be effective in ensuring that the best decision is made in any given scenario.

In conclusion, it is important to test all possible options before making a decision. This is because not all possibilities for the decision were tested.

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Answer:

10 square root 2

Step-by-step explanation:

Answer: D). 10 StartRoot 2 EndRoot units

Step-by-step explanation:

Answer:

she spent 11/35 hours

Step-by-step explanation:

first we change the denominator to its lcm, which is 35.

second, change its numerator so, 3/5 become 21/35 and 2/7 become 10/35.

then subtract, 21-10=11

so the answer is 11/35

The distance from vector y to the plane spanned by u₁ and u₂ in R³ is approximately 3.6.

The distance from vector y to the plane in R³ spanned by u₁ and u₂, we can use the formula for the distance between a point and a plane.

The formula for the distance between a point P and a plane with normal vector N is given by

d = |(P - P₀) · N| / |N|

where P₀ is a point on the plane, · denotes the dot product, and |N| represents the magnitude of vector N.

In this case, the point P is represented by vector y, and the plane is spanned by the vectors u₁ and u₂. We need to find the normal vector N of the plane.

Since the plane is spanned by u₁ and u₂, we can find the normal vector N by taking the cross product of u₁ and u₂:

N = u₁ × u₂

Let's calculate the cross product:

N = [-3] [-2] [-4] × [ 2] [ 1] [ 2]

N = [(-4 × 2) - (1 × 2)] [(1 × -2) - (-4 × 2)] [(-3 × 2) - (1 × -2)]

N = [-8 - 2] [-2 - (-8)] [-6 - (-2)]

N = [-10] [ 6] [-4 ]

Now that we have the normal vector N, we can find the distance from y to the plane.

P₀ is any point on the plane. We can choose P₀ to be the origin (0, 0, 0) for convenience.

P₀ = [0] [0] [0]

Substituting the values into the distance formula

d = |(y - P₀) · N| / |N|

d = |[6] - [0]| · [-10] / |[-10]| [-8] - [0] [ 6] [6] - [0] [-4 ]

d = |[6] · [-10] / |[-10]| [-8] [ 6] [6] [-4 ]

d = | -60 + 48 - 24| / |-10| |-72 - 24 + 0| | 6| | 36 + 0 - 0| |-4 |

d = |-36| / 10 |-96| | 6| | 36| |-4 |

d = 36 / 10 96 6 36 4

d = 3.6

Therefore, the distance from vector y to the plane spanned by u₁ and u₂ in R³ is approximately 3.6.

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Answer:

-41

Step-by-step explanation:

-++-=

answer

use a calculator

Answer:

The volume of shipping crate is 32 unit cubes.

Step-by-step explanation:

Given that:

Length of the crate = 4 units

Width of the crate = 2 units

Height of the crate = 4 units

Volume of shipping crate = Length * Width * Height

Volume of the crate = 4 * 2 * 4

Volume of crate = 32 unit cubes.

Hence,

The volume of shipping crate is 32 unit cubes.

Answer:

32 units

Step-by-step explanation:

The t value will be the result that is  58.851995039

The t-statistic for the observed correlation coefficient of 0.951 can be calculated to determine if it is statistically significant. Using the T.INV() spreadsheet function and the appropriate degrees of freedom.

We can test the null hypothesis of no correlation at the 5% significance level. Additionally, the T.DIST() function can be used to calculate the p-value of the t-statistic.

To calculate the t-statistic, we need to know the sample size (n) and the observed correlation coefficient (r). In this case, we have 37 monthly observations and a correlation coefficient of 0.951. The t-statistic can be calculated using the formula t = r x sqrt((n - 2) / (1 - r^2)). Plugging in the values, we find t = 0.951 x sqrt((37 - 2) / (1 - 0.951^2)).

By comparing this t-statistic to the critical value at the desired significance level (5% in this case), we can determine if the null hypothesis of no correlation can be rejected. Additionally, the p-value can be calculated using the T.DIST() function to determine the probability of obtaining a t-statistic as extreme as the observed value. If the p-value is less than the chosen significance level, the null hypothesis can be rejected.

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Answer:

C- 3

Step-by-step explanation:

Answer:

3x + 4

or

3x + (4)

Step-by-step explanation:

You can shape that problem into many more but these are just 2 examples.

hope this helped DON'T forget to mark this as the brainliest answer and give it a 5 star and a heart for support and for people asking this same question in the future. have a nice day!!

Considering the given scatter plot, it is found that:

a. The correlation coefficient is of 0.303.

b. Regarding the residuals, there are six positive and four negative.

c. The point with the largest residual is (6,2), which is the point in which the largest difference between the predicted and the actual value were found.

The correlation coefficient is gotten by selecting the points (x,y) from the scatter plot, and inserting them into a calculator.

The coordinates of these points from the given plot are;

(1,2), (1,3), (2,4), (3,4), (3,5), (4,3), (4,5), (5,5), (5,6), (6,2).

Punching these points into a calculator, gives the coefficient as 0.303.

A residual is calculated as the difference that is gotten between the observed value and the predicted value. Thus;

The positive residuals are defined as the points that exists above the line and in this given plot we have  six positive residuals.

The negative residuals are the points that exists below the line, and in this plot, we have four negative residuals.

Hence the largest residual, with the aid of  absolute value, is at the point:

(6,2).

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The probability that the sample mean will be greater than 57.95 is 0.0495.

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one. This is the basic probability theory, which is also used in the probability distribution.

To solve this question, we need to know the concepts of the normal probability distribution and of the central limit theorem.

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z=\dfrac{X-\mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The Central Limit Theorem establishes that, for a random variable X, with mean \(\mu\) and standard deviation \(\sigma\), a large sample size can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(\frac{\sigma}{\sqrt{\text{n}} }\).

In this problem, we have that:

The probability that the sample mean will be greater than 57.95

This is 1 subtracted by the p-value of Z when X = 57.95. So

\(Z=\dfrac{X-\mu}{\sigma}\)

By the Central Limit Theorem

\(Z=\dfrac{X-\mu}{\text{s}}\)

\(Z=\dfrac{57.95-53}{3}\)

\(Z=1.65\)

\(Z=1.65\) has a p-value of 0.9505.

Therefore, the probability that the sample mean will be greater than 57.95 is 1-0.9505 = 0.0495

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Answer:

1/8 ;

12 / 51

Step-by-step explanation:

To select any 5 numbers out of 40

Number of selection required / total numbers

Probability of winning = 5 /40 = 1/8

Total number of socks = 18

White, W = 8

Black, B = 6

Blue, C = 4

probability, without looking in the drawer, that you will first select and remove a black pair, then select either a blue or a white pair?

P(B) * [(P(C) + P(W)]

Probability = required outcome / Total possible outcomes

P(B) = 6 / 18 = 1/3

Without replacement :

P(W or C) = 8/17 + 4/17 = 12/17

Hence,

1/3 * 12/17

= 12 / 51

Part A: The theoretical probability of drawing a red card is 0.32 or 32%.

Part B: The experimental probability of drawing a red card is 0.38 or 38%, and it is 6% greater than the theoretical probability.

Part A: The theoretical probability of drawing a red card from the hat is the number of red cards divided by the total number of cards in the hat:

\(P_{red}\) = 8 ÷ (8 + 6 + 7 + 4)

= 8 ÷ 25

= 0.32 or 32%.

Part B: The experimental probability of drawing a red card can be calculated by dividing the number of times a red card was drawn by the total number of trials:

\(P_{red}\) = 437 ÷ 1150

= 0.38 or 38%.

The difference between the experimental probability and the theoretical probability can be calculated as follows:

0.38 - 0.32

= 0.06 or 6%

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The difference between the observed value of the dependent variable and the predicted value of the dependent variable is called the residual.

It is something that depends on other elements. For an instance, a take a look score can be a dependent variable because it can alternate relying on numerous factors which include how a lot you studied, how an awful lot sleep you bought the night time before you took the test, or maybe how hungry you have been when you took it.

A dependent variable is a variable whose cost relies upon impartial variable s. The structured variable is what's being measured in an experiment or evaluated in a mathematical equation. The based variable is now and again referred to as "the final results variable." In an easy mathematical equation, for example, a = b/c.

Based and impartial variables are variables in mathematical modeling, statistical modeling, and experimental sciences. Dependent variables receive this call due to the fact, that in a test, their values are studied under the supposition or call for that they depend, by some regulation or rule, on the values of different variables.

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To diagonalize C, we first need to find its eigenvalues and eigenvectors. The characteristic equation for C is det(C -

                                λI)  =  0, which gives us (1 - λ)(7 - λ)  -  6  =                                

                                   0. Solving for λ, we get λ1  =  1 and λ2  =                                    

               7. To find the eigenvector corresponding to λ1, we solve the system of equations (C -                

                   λ1I)x  =  0, which gives us the equation  - x1  +  2x2  =  0. Choosing x2  =                    

                                           1, we get the eigenvector v1  =                                          

                            [2,1]. Similarly, for λ2 we get the eigenvector v2  =  [1, -                            

                              1]. We can then diagonalize C by forming the matrix P  =                              

                         [v1, v2] and the diagonal matrix D  =  [λ1 0; 0 λ2]. We have C  =                        

                      -                                    -                                                        

                   PDP 1. To compute A5, we first compute C 1 as [7  - 2;  - 3 1] / 4. Then, A  =                    

                         -         -   -                                  5       5       5                          

                      CDC 1  =  PDP 1DC 1P. We have D  =  [1 0; 0 7], so D   =  [1  0; 0 7 ]  =                      

                                           5       5 -                                                              

                    [1 0; 0 16807]. Thus, A   =  PD P 1  =  [2 1; 1  - 1][1 0; 0 16807][1 / 3  -                    

                              1 / 3; 1 / 3 2 / 3]  =  [11203 11202; 16804 16805] / 9.                                

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The language A, defined as the set of all strings that are repeated twice (e.g., "00", "0101", "1111"), is not regular.

To show that A is not a regular language, we can use the pumping lemma for regular languages. The pumping lemma states that for any regular language, there exists a pumping length such that any string longer than that length can be divided into parts that can be repeated any number of times. Let's assume that A is a regular language. According to the pumping lemma, there exists a pumping length, denoted as p, such that any string in A with a length greater than p can be divided into three parts: xyz, where y is non-empty and the concatenation of xy^iz is also in A for any non-negative integer i. Now, let's consider the string s = 0^p1^p0^p. This string clearly belongs to A because it consists of the repetition of "0^p1^p" twice. According to the pumping lemma, we can divide s into three parts: xyz, where |xy| ≤ p and |y| > 0. Since y is non-empty, it must contain only 0s. Therefore, pumping up y by repeating it, the resulting string would have a different number of 0s in the first and second halves, violating the condition that the string must be repeated twice. Thus, we have a contradiction, and A cannot be a regular language.

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The given computer can be customized in six memory sizes, three types of displays, four hard disk sizes, and two possible options, including a pen tablet or not.

\We can calculate the number of possible systems by multiplying the number of options for each component together.

Then we can use the multiplication principle to get the number of possible systems:

Number of memory sizes

= 6Number of display types

= 3Number of hard disk sizes

= 4Number of possible options for pen tablet

= 2Using the multiplication principle, the number of possible systems that can be ordered is

= 6 x 3 x 4 x 2

= 144.

Therefore, there are 144 different systems that can be ordered.

The total number of different systems that can be ordered when customizing a computer can be calculated using the multiplication principle.

This principle is used when we want to find the total number of outcomes of a multi-step process by multiplying the number of possible outcomes for each step.

In this scenario, we need to consider four components of the computer that can be customized: memory size, display type, hard disk size, and pen tablet.

The number of options available for each of these components is 6, 3, 4, and 2 respectively.

Therefore, the number of possible systems that can be ordered is the product of these numbers:6 x 3 x 4 x 2 = 144

This means that there are 144 different systems that can be ordered depending on the choices made for each component.

This is a large number of options, and it highlights the importance of customization in modern computing systems. Customers can choose the exact specifications that meet their needs, rather than having to settle for pre-built systems that may not include the desired components or features. Therefore, the ability to customize computer systems is an important feature that makes them more versatile and useful for different purposes.

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To find the area of the region enclosed by the graphs of the given equations, f(x) = x^2 and g(x) = -1/13(13 + x), within the interval x = 0 to x = 3, we need to calculate the definite integral of the difference between the two functions over that interval.

The region is bounded by the x-axis (y = 0) and the two given functions, f(x) = x^2 and g(x) = -1/13(13 + x). To find the area of the region, we integrate the difference between the upper and lower functions over the interval [0, 3].

To set up the integral, we subtract the lower function from the upper function:

A = ∫[0,3] (f(x) - g(x)) dx

Substituting the given functions:

A = ∫[0,3] (x^2 - (-1/13)(13 + x)) dx

Simplifying the expression:

A = ∫[0,3] (x^2 + (1/13)(13 + x)) dx

Now, we can evaluate the integral to find the exact area of the region enclosed by the graphs of the two functions over the interval [0, 3].

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Answer:

Step-by-step explanation:

To find the geodesic between the points (-3, 0, 9) and (3, 0, 9) on the surface defined by z = 16 - (x^2 + y^2), we can use the concept of geodesic equations.

A geodesic is a curve that locally minimizes the length between two points on a surface. The length of a curve on a surface can be expressed using the arc length formula:

ds^2 = dx^2 + dy^2 + dz^2

In this case, since the surface is defined by z = 16 - (x^2 + y^2), we can express the arc length in terms of x and y:

ds^2 = dx^2 + dy^2 + dz^2

= dx^2 + dy^2 + (dz/dx dx)^2 + (dz/dy dy)^2

To find the geodesic, we need to minimize the arc length, which is equivalent to minimizing the integral of ds:

L = ∫ √(dx^2 + dy^2 + (dz/dx dx)^2 + (dz/dy dy)^2)

To simplify the problem, we can notice that the surface defined by z = 16 - (x^2 + y^2) is rotationally symmetric about the z-axis. Therefore, the geodesic connecting the two points (-3, 0, 9) and (3, 0, 9) lies on the x-z plane.

We can parameterize the geodesic curve on the x-z plane as x = f(t) and z = g(t), where t is a parameter.

Now, we can rewrite the arc length integral in terms of t:

L = ∫ √(dx/dt)^2 + (dz/dt)^2 dt

Substituting the parameterization x = f(t) and z = g(t), we have:

L = ∫ √(df/dt)^2 + (dg/dt)^2 dt

To minimize L, we need to find the values of f(t) and g(t) that satisfy the Euler-Lagrange equations:

d/dt(dL/df') - dL/df = 0

d/dt(dL/dg') - dL/dg = 0

By solving these differential equations, we can determine the specific form of the geodesic between the two points (-3, 0, 9) and (3, 0, 9) on the surface.

Note that the solution to these equations is beyond the scope of a simple text-based response, as it involves solving a system of differential equations. It typically requires advanced mathematical techniques, such as variational calculus or numerical methods.

Therefore, to obtain the precise equation of the geodesic between the two given points on the surface z = 16 - (x^2 + y^2), it is recommended to use specialized software or consult advanced mathematical resources.

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Answer:

The meal must cost less than or equal to 19.92

Step-by-step explanation:

Let x be the cost of the mean

First find the tax

tax = x* 5.5%

     =.055x

Then find the tip

tip = x * 20%

tip = .20x

Add the total cost together

total cost = meal + tax + tip

               =x + .055x + .20x

              =1.255x

This must be less than or equal to 25

1.255x ≤ 25

Divide each side by 1.255

1.255x/1.255 ≤ 25/1.255

x ≤ 19.92