A C Which are the solutions of x² + 81 = 0 ? B x = +40i D X = +80i X = +9i X = +9 A​

Answer:

(x-1)^2+(y-2)^2=6.25

Step-by-step explanation:

Origin: (1, 2)

Radius: 2 1/2

(x-1)^2+(y-2)^2=2.5^2

(x-1)^2+(y-2)^2=6.25

Answer: ( x - 1 )^2 + ( y - 2 )^2 = 6.25

Step-by-step explanation:

Answer:

y=1/3x-3

Step-by-step explanation:

slope = (y2-y1)/(x2-x1)

Use the two points: (0,-3) (3,-2)

slope = (-3+2)/(0-3)

slope = -1/-3 = 1/3

y intercept = -3

Equation: y=1/3x-3

One quart is equal to 32 fluid ounces, which means that to convert ounces to quarts, you need to divide the number of ounces by 32.

There is no direct conversion from ounces (oz) to quarts (qt) because these are two different units of measurement for different quantities. Ounces are used to measure weight or volume, while quarts are used to measure volume only.

For example, if you have 64 fluid ounces of water, you can convert this to quarts using the following formula:

64 fl oz / 32 = 2 qt

This means that 64 fluid ounces is equal to 2 quarts of water.

It is important to note that if you are measuring the weight of a substance in ounces, such as in cooking or baking, the conversion factor to quarts would be different, as the weight of a substance cannot be directly converted to volume. In such cases, you would need to consult a weight-volume conversion chart to find the appropriate conversion factor.

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Answer:

A triangle has 3 sides: a, b, c satisfying inequalities below:

=> a + b > c > |a - b|

=> b + c > a > |b - c|

=> c + a > b > |c - a|

9, 15, 17 satisfy the inequalities above (you can check it easily).

Hope this helps!

:)

The Taylor polynomials P1, P2, P3, and P4 centered at a0 for f(x) are given as:P1(x) = 1P2(x) = 1 - x²/2!P3(x) = 1 - x²/2! + x⁴/4!P4(x) = 1 - x²/2! + x⁴/4! - x⁶/6!

We will apply the Taylor's theorem formula, which is supplied as follows, to determine the Taylor polynomials P1, P2, P3, and P4 centred at a0 for f(x) in the given question:f'(a)(x-a)/1 = f(x) = f(a) + f'(a)! + f''(a)(x-a)²/2! + ... + fⁿ(a)(x-a)ⁿ/n!We have f(0) = 1f'(0) = 0f''(0) = -1f'''(0) = 0f4(0) = 1 for f(x) = cos(x) at x = 0.We can get the following polynomial expressions by using these values in the Taylor's theorem formula:P1(x) = 1P2(x) = 1 - x²/2!P3(x) = 1 - x²/2! + x⁴/4!P4(x) = 1 - x²/2! + x⁴/4! - x⁶/6!Consequently, the Taylor polynomials P1, P2, P3, and P4 for f(x) are provided as follows:P1(x) = 1P2(x) = 1 - x²/2!P3(x) = 1 - x²/2! + x⁴/4!P4(x) = 1 - x²/2! + x⁴/4! - x⁶/6!

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118,813,760 different combination license plates can the country produce

Permutations and combinations:

permutations and combinations, the various ways in which objects from a set may be selected, generally without replacement, to form subsets. This selection of subsets is called a permutation when the order of selection is a factor, a combination when order is not a factor. By considering the ratio of the number of desired subsets to the number of all possible subsets for many games of chance in the 17th century, the French mathematicians Blaise Pascal and Pierre de Fermat gave impetus to the development of combinatorics and probability theory.

Given that

In a certain country license plates consist of zero or one digit followed by four or five uppercase letters from the roman alphabet

X = 10 × 26 × 26 × 26 × 26 × 26

  = 10 × 11881376

  = 118,813,760

118,813,760 different combinations license plates can the country produce

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the difference between a statistic and a parameter is that a statistic is calculated using a sample of data while a parameter is calculated using the entire population data.the correct option is a. Statistic.

The underlined value in the statement given is a statistic. A statistic is a measure that is calculated using a sample of data, whereas a parameter is a measure that is calculated using the entire population data.

The percentage of respondents who reported using alcohol within the past month is a statistic. It is obtained from a survey on substance abuse involving only full-time college students aged 18 to 22 years.

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Converting to Cartesian coordinates is one way to find alternate descriptions for (r,0) (-1,π) in polar coordinates.

Here,

When looking for alternate descriptions for the polar coordinates (r,0) (-1,π), converting them to Cartesian coordinates is one way to do it.

However, a better method is to remember the steps to graph a point in polar coordinates.

If r is greater than zero, start along the positive z-axis, and if r is less than zero, start along the negative z-axis.

Then, rotate counterclockwise if θ is greater than zero, and rotate clockwise if θ is less than zero.

By following these steps, alternate descriptions for (r,0) (-1,π) in polar coordinates can be determined without having to convert them to Cartesian coordinates.

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Answer:

The correct answer would be 4.11

Step-by-step explanation:

A list of all possible outcomes in a given event is:

Sample space

The outcome of the complex number given is 7i+8/10 in its most basic form. Option C

Complex numbers are referred to as the square root of negative numbers. For instance √-1 = i.

In this expression 'i" is a complex number.

Given the expression below;

-7+8i / 10i

Rationalise

-7+8i / 10i * 10i/10i

= 10i(-7+8i)/10(i²)

= -70i+18(-1)/10(-1)

= -70i - 18/-10

= 7i+1.8

Hence the result of the given complex number in its simplest form is 7i+8/10

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Brandon have to pay  $28.75 to buy 5 pounds of walnuts.

By problem;

Price per pound= $6.50

Quantity to be purchased = 5 pounds

Discount available= $3.75

Expression:- 6.50pp-3.75     (where pp is a variable for pounds of walnut)

Amount to be paid= 6.50 * 5 - 3.75

Amount to be paid  =$28.75

Therefore, Brandon has to pay $28.75 to purchase 5 pound of walnuts.

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\(\cfrac{\stackrel{ Sun }{2\times 10^{30}}}{\underset{ Earth }{6\times 10^{24}}}\implies \cfrac{2}{6}\times\cfrac{10^{30}}{10^{24}}\implies \cfrac{1}{3}\times 10^{30}10^{-24}\implies \cfrac{1}{3}\times 10^{30-24} \\\\\\ \cfrac{1}{3}\times 10^6\implies \cfrac{10^6}{3}\implies \cfrac{1000000}{3}\implies 333333.\overline{33}\qquad \begin{array}{llll} \textit{times more massive}\\ \textit{than the Earth} \end{array}\)

Answer:

48...boys will be 28 and girls will be 20

Answer: 48 people in total

Step-by-step explanation:

If the ratio is 7 boys per 5 girls and in the real situation there is a difference of 8 boys then we can do some equivalent ratios.

- times 2:

7*2=14

5*2=10

so, 14 per 10 is one, however, it hasn't a difference of 8. Since 14-10=4.

If the difference is 4 and we need a difference of 8 we can multiply by 2. So, now we can make an equivalent ratio multiplied by 4, because 2 * 2 =4

- times 4:

7*4=28

5*4=20

So, 28 boys per 20 girls is the correct answer. There are 48 people in total:)

Answer:

100 newtons, 20 newtons per second

The given office complex has a total of 1100 employees. Out of these 1100 employees, only some come to work on any given day, while the rest are absent.

If we consider the employees present at work on any given day as the "state", we can create a probability transition matrix that provides information about the probability of the employees being present or absent in the future. We know that if an employee is at work today, there is an 80% chance that she will be at work tomorrow, and if the employee is absent today, there is a 51% chance that she will be absent tomorrow. Hence, we can construct a probability transition matrix for the given scenario as follows:    [1   0]      [0.51 0.8]. Here, the first row represents the probability of remaining absent while the second row represents the probability of remaining present.  We are given that today there are 913 employees at work. We can use the transition matrix to predict the number of employees at work after 5 days.  To do this, we multiply the transition matrix with itself 5 times. We get the following result after multiplying:    

[1   0]      [0.51 0.8] × [1   0]      [0.51 0.8] × [1   0]      [0.51 0.8] × [1   0]      [0.51 0.8] × [1   0]      [0.51 0.8] =     [1.0264 0.0000]      [0.0000 0.9736]

Hence, the number of employees that will be at work after 5 days is:

(1.0264 × 913) = 937.  

The steady-state vector for the given transition matrix can be found by solving the equation P = P × A where P is the steady-state vector and A is the transition matrix. Hence, we have:      

[p1 p2] = [p1 p2] × [1   0]      [0.51 0.8]

We know that p1 + p2 = 1 since the probability of an employee being either present or absent is 1. Substituting p2 = 1 - p1, we get the following equation:  

p1 = 0.51p1 + 0.8(1 - p1)

Solving this equation, we get: p1 = 0.6098 and p2 = 0.3902. Hence, the steady-state vector is [0.6098 0.3902].

The transition matrix for the given scenario is [1 0][0.51 0.8]. The number of employees that will be at work after 5 days is 937. The steady-state vector for the given transition matrix is [0.6098 0.3902].

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The answer is c) the diagram does not a function.

Explanation:

A x-value can not have more than one y-value:

The graph will be a asymptote, because is a vertical line and it does not represent a function.

Answer:

Step-by-step explanation:

It's the third option:

-3 maps to 0 1 and 2 so is a one-to-many relation which is not a function.

Answer:

\(y=4x-6\)

Step-by-step explanation:

Okay, to do this we must understand what parallel means.

parallel means that that one line will NEVER touch the other. In order for this to happen they must be increasing (or decreasing) by the SAME rate. I.e the slope of your line must be the same as the lin in question thus our equation looks like,

\(y=4x+c\).

Now lets find \(c\).

To do this, plug the point (3,6) into the equation

6=4(3)+C

6=12+C

-6=C

Thus now that we know C, our equaiton is

\(y=4x-6\)

Answer:

y = 4 x - 6

Step-by-step explanation:

We have to know that,

If two lines are parallel the slopes of the two lines are equal but not the y - intercept.

In the equation,

y = m x + c

m ⇒ slope

c ⇒ y - intercept.

According to the question,

the equation they have given is,

y = 4x - 7

We have already find the slope of the new line.

That is,

m = slope = 4 (because the 2 lines are parallel)

Now we have to find y - intercept.

Let us find now.

( 3 , 6 ) ⇔ ( x , y )

y = m x + c

6 = 4 × 3 + c

6 = 12 + c

6 - 12 = c

-6 = c

There fore, the equation of the new line is,

y = m x + c

y = 4 x - 6

Hope this helps you :-)

Let me know if you have any other questions :-)

The university administration should not trust the results from this study as it did not take a random sample.

The appropriate question to ask in order to assess the evidence provided by the sample data is, "How likely is it to observe a difference of 0.09 or more extreme if there is no difference in the mean GPA for male and female scholarship athletes?"

This is because the sample data shows a difference of 0.09, so we want to find out how likely it is to observe a difference of this size or greater, given that there is no actual difference between the GPA of male and female scholarship athletes.
Based on the investigation that the professor conducted which revealed that the study was given to all of the athletes on the basketball teams exclusively, the university administration should not trust the results from this study.

This is because the study was not taken from a random sample of scholarship athletes, meaning that the sample did not accurately reflect the population. If the sample does not accurately reflect the population, then the results may be biased and should not be trusted.

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Before you start, please make a title for your Stem & Leaf plot.

1) Make two columns; Stem and Leaf.

2) Under "Stem" list the following whole numbers: 0, 1, 2, 3, 4, 5, 6. Notice that each number will correspond to each number you gave us.

3) Under "Leaf":

Only the last digits of the numbers go into the Leaf. If I number, for example, starts with 0, the remaining digits go into the Leaf.

4) Create a Key, which allows whoever is reading your plot to understand what the plot means. For example 2|4=24, since 2 is the stem and 4 is the leaf. We usually read a stem and leaf plot as the remaining digits go after the stem but if otherwise a Key is a must have when creating a plot.

The Key can be any set of numbers you have in your Stem and Leaf plot.

Answer:

- 1 1/4

Step-by-step explanation:

-9 1/4 + 8 = -1 1/4

Answer: 216 + 6^2 = 252

Step-by-step explanation:

What is the likelihood that for at least a single two numbers is 1 if they are randomly selected from the range of 1, 2, 3, 4, 5, and 6? To remove one from the chance that no choices for 1 are made:

How do probability and an example work?

The likelihood of success is a measure of probability. the number of potential outcomes. For instance, the chance of tossing a coin & obtaining heads is 1 in 2, as there is only one way to acquire a head and there are a total of 2 possible outcomes (a head or tail).

We denote this with P(heads)

12 P(at least 1 one) = 1 - P. (no ones)

P(no ones) equals (5/6)*(5/6)

25/36 P(at least 1 one) equals (1 - 25/36)

11/36 P(sum higher than product) equals P(at least 1 one) = 11/36

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Answer:

probably y= 1/2x + 1

Step-by-step explanation:

could also be y= 2x + 1

Answer:

The first blue option or 8x - 17 = 5x + 19

Step-by-step explanation:

    They are vertical angles, so they will be set equal to each other.

Have a nice day!

    I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

i hop this halp

Step-by-step explanation:

less than 10 units.

Answer:

∠EGF = 1/2( 180 - 50) = 1/2(130) = 65

∠CGF = 180 - 65 = 115.

Step-by-step explanation:

Answer:

2y=9-x

y=9-x/2

9/2-x/2=mx+c

c=9/2

m=-1/2

Answer:

the answer of this question is

2y=-x+9

If \(y=x^m\) is a solution to the ODE

\(x^2 y'' - 7xy' + 15y = 0\)

then substituting \(y\) and its derivatives

\(y' = mx^{m-1} \text{ and } y'' = m(m-1)x^{m-2}\)

gives

\(m(m-1)x^2x^{m-2} - 7mxx^{m-1} + 15x^m = 0\)

\(m(m-1)x^{m} - 7mx^{m} + 15x^m = 0\)

\((m(m-1) - 7m + 15)x^{m} = 0\)

We ignore the trivial case of \(y=x^m=0\). Solve for \(m\).

\(m(m-1) - 7m + 15 = 0\)

\(m^2 - 8m + 15 = 0\)

\((m - 3) (m - 5) = 0\)

\(\implies \boxed{m=3} \text{ or } \boxed{m=5}\)

The density of the wooden board is 650 kg/m³

The given dimensions of the wooden board in the shape of a rectangular prism are;Length = 1.5 mBreadth = 0.75 mHeight = 0.2 m Formula to calculate the volume of the rectangular prism is;Volume of the rectangular prism = Length × Breadth × HeightV = 1.5 × 0.75 × 0.2V = 0.225 cubic metersThe mass of the wooden board is given as;Mass = 146.25 kg Formula to calculate the density of the wooden board is;Density = Mass / Volumeρ = m / Vρ = 146.25 kg / 0.225 m³ρ = 650 kg/m³.

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