What is the distance between (–13, 9) and (11, 2) on a coordinate grid?

Miranda:

Let's recall the differences between Standard and Scientific notation:

The number is written in two parts:

Just the digits, with the decimal point placed after the first digit, followed by

× 10 to a power that puts the decimal point where it should be

(i.e. it shows how many places to move the decimal point).

The apparent capacity of a glass vessel refers to its perceived size or volume based on external dimensions, while the actual capacity represents the true volume of the vessel, taking into account both interior and exterior dimensions.

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Answer:

investment=£3000

Step-by-step explanation:

let ; principal amount (investment)=p ,

simple interest = p*t*r/100

£3300-p=p*1*10/100

(3300-p)100/10= p

33000-10p=p

33000=11p

33000/11 = p

£3000=p

Answer:

Step-by-step explanation:

s

Answer:

3x + 2 = 2x + 5

3x = 2x +3

x = 3

3x + 2 =  18

2x + 5 = 11

Step-by-step explanation:

Answer:

3X +2 = 2X +5

grouping of like one's

3X - 2X = 5 -2

subtract

X = 3

Answer:

steak

Step-by-step explanation:

you can touch the steak

you can eat the steak

you can smell the steak

you can hear the steak sizzle

you watch the steak as it cooks

Okay, here we have this:

Considering the provided expression, we are going to solve and simplify it, so we obtain the following:

Finally we obtain that the expression is equal to -22/5.

Hannah's debt-to-equity ratio when her liabilities was $30,000 (excluding her mortgage of $100,000 ) and her net worth is $45,000 is 0.75.

Debt-to-equity ratio is a financial ratio that measures the proportion of total liabilities to shareholders' equity. To calculate the debt-to-equity ratio for Hannah, we need to first calculate her total liabilities and shareholders' equity.

We are given that Hannah has liabilities of $30,000 excluding her mortgage of $100,000. Therefore, her total liabilities are $30,000 + $100,000 = $130,000.

We are also given that her net worth is $45,000. The net worth is calculated by subtracting the total liabilities from the total assets. Therefore, the shareholders' equity is $45,000 + $130,000 = $175,000.

Now we can calculate the debt-to-equity ratio by dividing the total liabilities by the shareholders' equity.

Debt-to-equity ratio = Total liabilities / Shareholders' equity = $130,000 / $175,000 = 0.74 (rounded to two decimal places)

Therefore, Hannah's debt-to-equity ratio is 0.74, which is closest to option 0.75.

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As the sample size gets larger, the z value increases therefore we will more likely to  less likely to fail to reject the null hypothesis, thus the power of the test increases.

Statistical tests provide a mechanism for making quantitative decisions about one or more processes. The intent is to determine whether there is sufficient evidence to "reject" speculations or hypotheses about the process. If you want to keep pretending that you "believe" the null hypothesis is true, then not rejecting it can do you good. Alternatively, it may indicate that there is not yet enough data to "prove" something by rejecting the null hypothesis. A classic application of statistical testing is process control studies. Suppose a manufacturing process is interested in  a photomask with an average linewidth of 500 microns. The null hypothesis in this case is that the average linewidth is 500 microns. This statement implies the need to characterize photomasks with average linewidths much larger or  smaller than 500 microns. This leads to the alternative hypothesis that the average linewidth is not equal to 500 microns. This is a two-way substitution as it protects against substitution in the opposite direction. In other words, the line width is either too small or too large.

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Given :

The initial velocity of an object = 30 m/s

The final velocity = 100 m/s

The change of the time = 5 s

We need to find the acceleration (a) :

so, the answer is the first option : a = 14 m/s^2

Answer:

36

Step-by-step explanation:

180-144=36

The possible values of x according to the give. equation are; 0, ±√3i, ±2i, i, -1.

The possible values of x in the equation given in the task content represent the zeroes of the equation and can be determined as follows;

(x²+3) (x³+4x) (x²+x-i-xi) = 0.

Hence, by further factorisation; we have;

x(x²+3) (x²+4) (x-i) (x+1) = 0.

The possible values of x are therefore;

x = 0;

x²+3 = 0; x = ±√3i

x² +4 = 0; x = ±2i

x -i = 0; x = i.

x +1 = 0; x = -1

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The number of seniors majoring in history using the inclusion-exclusion principle is 456.

Finding the number of elements in the union of two finite sets can be done using the principle of inclusion and exclusion.

There are 523 seniors of history majors or math majors or both in a university.

There are 33 seniors majoring in both history and math and 100 senior math majors.

Let A and B be the sets of math majors and history majors, respectively. Then by the inclusion-exclusion principle:

| A ∪ B | = | A | + | B | − | A ∩ B |

The number of history majors is:

| A | = | A ∪ B | + | A ∩ B | − | B |

| A | = 523 + 33 − 100

| A | = 456

The number of seniors majoring in history using the inclusion-exclusion principle is 456.

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Answer:

c=(0,–3) , R= 4

choose (B)

a) The probability model for rolling two 4-sided dice can be represented as a table or matrix with 16 equally likely outcomes, each with a probability of 1/16.

b) The probability the sum of the numbers is 5 based on the probability model is 25%

a) The probability model for rolling two 4-sided dice can be represented using a table or a matrix, where the rows and columns represent the possible outcomes of the first and second die, respectively. Since each die has four equally likely outcomes, there are 4 x 4 = 16 possible outcomes in total. We can list these outcomes as ordered pairs (blue, yellow), where blue and yellow represent the numbers on the bottom of the blue and yellow dice, respectively

(1,1) (1,2) (1,3) (1,4)

(2,1) (2,2) (2,3) (2,4)

(3,1) (3,2) (3,3) (3,4)

(4,1) (4,2) (4,3) (4,4)

Each outcome has a probability of 1/16, since each die has four equally likely outcomes.

b) To find the probability that the sum of the numbers is 5, we need to count the number of outcomes where the sum is 5 and divide by the total number of outcomes. There are four outcomes where the sum is 5: (1,4), (2,3), (3,2), and (4,1). Therefore, the probability is

4/16 = 1/4 = 0.25 = 25%

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The approximate radius of the bike wheel is 11.0 inches.

If a bike wheel covers a total of 69.08 inches after one complete rotation, we can use the formula for the circumference of a circle to find the approximate radius of the bike wheel.

Circumference = 2piradius

where pi is approximately 3.14.

We are given that the circumference is 69.08 inches, so we can plug in these values and solve for the radius:

69.08 = 23.14radius

Dividing both sides by 2*pi, we get:

radius = 69.08 / (2*3.14) ≈ 11.0 inches

Therefore, the approximate radius of the bike wheel is 11.0 inches.

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This is an example of first mover advantage.

First mover advantage is a theory of organizational and business strategy by means of which it is considered that whoever has the first possibility of making decisions on a subject, will have a comparative advantage over the rest of the participants.

This is so because, it is assumed, this first actor will be able to take the best option for himself, leaving lower-ranking options to the rest of the participants.

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Answer:

4

Step-by-step explanation:

11s+9t=116

5s+9t=92

Minus bottom equation from the top

6s+0=24

divide 6 on both sides

s=4

Answer: The normal probability plot is a graphical technique for assessing whether or not a data set is approximately normally distributed. The data are plotted against a theoretical normal distribution in such a way that the points should form an approximate straight line.

Step-by-step explanation:

The sorted data are shown with an approximation to the means or medians of the associated order statistics to create the normal probability plot.

The normal probability plot is a graphical method for determining whether or not a data set is roughly normally distributed . The points in the data are displayed against a hypothetical normal distribution such that they should roughly form a straight line.

The sorted data are shown with an approximation to the means or medians of the associated order statistics to create the normal probability plot. It is applied to ascertain if a tiny amount of data is representative of a normal distribution.

A graphical method for locating significant deviations from normalcy is the normal probability plot. Outliers, skewness, kurtosis, the requirement for transformations, and mixes are some examples of this. The raw data, residuals from model fits, and estimated parameter values are used to create normal probability charts.

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The game is fair because the player has equal probability of winning or losing. Option a is the answer.

The total number of slots on the wheel is 10, with 6 of them labeled as Roll and 4 of them labeled as Flip. Therefore, the Roll section of the rectangle will occupy 6/10 or 3/5 of the total area, while the Flip section will occupy 4/10 or 2/5 of the total area.

Next, we need to determine the probability of winning by rolling green or calling heads. Since the player only rolls the die if the wheel lands on Roll, we need to find the probability of landing on Roll and then rolling green. The probability of landing on Roll is 6/10, and the probability of rolling green on the die is 3/6 or 1/2. Therefore, the probability of winning by rolling green is (6/10) * (1/2) = 3/10.

Similarly, the player only watches the coin toss if the wheel lands on Flip. If the player calls heads and the coin lands on heads, they win. The probability of landing on Flip is 4/10, and the probability of the coin landing on heads is 1/2. Therefore, the probability of winning by calling heads is (4/10) * (1/2) = 2/10 or 1/5.

To determine if the game is fair, we need to compare the probability of winning to the probability of losing. The probability of winning is 3/10 + 1/5 = 5/10 or 1/2.

Since there are only two outcomes (winning or losing), the probability of losing is also 1/2. Therefore, the game is fair.

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R(t)=6.6 for t, 5 minutes, the domain of R relative to this context [0, 65 ÷ 6], the range of R related to this context, the domain of R relative to this context, [0, 12], and the range of R relative to this context.

The values of variables, domain, and range:

a) 12 - 1.2t, Using the build equation.

b) Least length = 0 mm.

max time = 12 - 1.2t = 0

t = 65 ÷ 6 minutes.

domain t ∈ [0, 65 ÷ 6]

c) range, R ∈ [0, 12]

d) domain of \(R^{-1}\) [0, 12]

e) domain of \(R^{-1}\) [0, 65 ÷ 6]

f) 12 - 1.2t = 7

1.2t = 7

t = 5

R(t)=6.6 for t, 5 minutes.

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a) The explicit formula for f ο g is f(g(x)) = 10x + 17. b) The explicit formula for g ο f is g(f(x)) = 10x + 22. c) The explicit formula for f ο h is f(h(x)) = 2\(x^{2}\) + 5. d) The explicit formula for h ο f is h(f(x)) = 4\(x^{2}\) + 12x + 10.

To find the explicit formulas for each function composition, we substitute the inner function into the outer function and simplify.

(a) f ο g:

f(g(x)) = f(5x + 7)

= 2(5x + 7) + 3

= 10x + 14 + 3

= 10x + 17

Therefore, the explicit formula for f ο g is f(g(x)) = 10x + 17.

(b) g ο f:

g(f(x)) = g(2x + 3)

= 5(2x + 3) + 7

= 10x + 15 + 7

= 10x + 22

Therefore, the explicit formula for g ο f is g(f(x)) = 10x + 22.

(c) f ο h:

f(h(x)) = f(\(x^{2}\) + 1)

= 2(\(x^{2}\) + 1) + 3

= 2\(x^{2}\) + 2 + 3

= 2\(x^{2}\) + 5

Therefore, the explicit formula for f ο h is f(h(x)) = 2\(x^{2}\) + 5.

(d) h ο f:

h(f(x)) = h(2x + 3)

= \((2x+3)^{2}\) + 1

= 4\(x^{2}\) + 12x + 9 + 1

= 4\(x^{2}\) + 12x + 10

Therefore, the explicit formula for h ο f is h(f(x)) = 4\(x^{2}\) + 12x + 10.

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The explicit formulas for the compositions of functions are:

(a) f ο g: 10x + 17

(b) g ο f: 10x + 22

(c) f ο h: 2x^2 + 5

(d) h ο f: 4x^2 + 12x + 10

For the explicit formulas for the compositions of functions, we substitute the inner function into the outer function. Using the provided functions:

(a) f ο g: We substitute g(x) into f(x).

f(g(x)) = 2(g(x)) + 3 = 2(5x + 7) + 3 = 10x + 17

The explicit formula for f ο g is 10x + 17.

(b) g ο f: We substitute f(x) into g(x).

g(f(x)) = 5(f(x)) + 7 = 5(2x + 3) + 7 = 10x + 22

The explicit formula for g ο f is 10x + 22.

(c) f ο h: We substitute h(x) into f(x).

f(h(x)) = 2(h(x)) + 3 = 2(x^2 + 1) + 3 = 2x^2 + 5

The explicit formula for f ο h is 2x^2 + 5.

(d) h ο f: We substitute f(x) into h(x).

h(f(x)) = (f(x))^2 + 1 = (2x + 3)^2 + 1 = 4x^2 + 12x + 10

The explicit formula for h ο f is 4x^2 + 12x + 10.

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Answer:

7 units

Step-by-step explanation:

the line JL starts at -2 and ends at 5. in order to get from -2 to 5 you have to add 7.

Answer:

false

Step-by-step explanation:

False.

Access supports a wide range of built-in functions and operators that can be used to create calculated fields. These functions and operators include mathematical functions (such as multiplication, division, exponentiation), string functions (such as concatenation, trimming, and formatting), date and time functions, aggregate functions (such as sum, average, count), and more.

In addition, Access also allows you to create user-defined functions using VBA (Visual Basic for Applications), which can be used to perform custom calculations on your data.

Therefore, the statement "the only calculated fields you can create in Access are those involving addition and subtraction" is false.

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Answer:

A triangle where the angles in the inside are 100 degrees, 40 degrees, and 40 degrees.

Step-by-step explanation:

The angles inside a triangle always add up to 180 degrees

And an obtuse triangle is a triangle whose biggest angle is bigger than 90 degrees

100 is biggest angle out of the three angles we're using to make the triangle and 100 is bigger than 90.

Adding the three angles we're using also makes 180 (100 + 40 + 40)

Answer:

14, 18, 20

Step-by-step explanation:

You have to replace the number in the "s" column with the "s" in the problem. For example the first number in the table is 2 so you have to put 2 into the problem then add it with 12 and you get 14.

When a point is reflected about the xy-plane, its z-coordinate is negated while its x and y-coordinates remain the same. the image of the point P(-2, 3, 5) after a reflection about the xy-plane is the point P'(-2, 3, -5).

what is coordinates ?

Coordinates are values used to indicate the position of a point in a coordinate system. A coordinate system is a system that uses one or more numbers, called coordinates, to determine the position of a point or object. For example, in a two-dimensional Cartesian coordinate system, a point is located by its distance from two perpendicular lines, the x-axis and the y-axis, which intersect at a point called the origin. The coordinates of a point are usually represented by an ordered pair (x, y) in this system. In a three-dimensional coordinate system, a point is located by its distance from three perpendicular planes, and its coordinates are usually represented by an ordered triple (x, y, z).

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Answer:

120 i am sorry if i am wrong

Step-by-step explanation:

the volume of the cylinder is 120 cm
I have tried my hardest on studying this
question i am sorry if its wrong