4. What is the magnitude and direction of MN with tail and head points M(-3,-2) and N(4,0)?
7.3 units, 15.9° south of west
O 7.3 units, 15.9° north of east
6.4 units, 74.1° north of east
O 6.4 units, 74.1° south of west

Answer:

$0.24 per m

Step-by-step explanation:

The maximum distance as function of the quantity of gallons of gasoline the required expression is: x = 0.2272 . n

Distances between two things or places can sometimes be measured qualitatively and sometimes quantitatively. A physical length or an estimate based on other criteria might be referred to as distance in physics or everyday language. The entire movement of an item, independent of direction, is called distance. No matter where an item starts or ends, distance may be described as the amount of ground it has covered.

The maximum distance as function of the quantity of gallons of gasoline is estimated by the following linear model:

x = (14,430 km / 63500 gallons) . n

Finally, the required expression is:

x = 0.2272 . n

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To convert mcg to mg, divide the mcg value by 1000. Therefore:

1000 mcg = 1000/1000 mg = 1 mg

So, 1000 mcg is equal to 1 mg.



The ordered pair (0,1) is not a solution to the inequality, as the line is dashed, meaning that points exactly on the line are not solutions to the inequality.

The general format of an ordered pair is given as follows:

(x,y).

For the ordered pair (0,1), we have that the coordinates are given as follows:

Hence the point is exactly at y = 1 on the y-axis, where the line crosses the y-axis. However, the line is dashed, meaning that it is not part of the solution.

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the probability that the man would have done at least as well as 22 out of 30 correct predictions by chance alone is approximately 0.149 or 14.9%, which suggests that his ESP claim may not be supported by the coin flip test results alone.

To determine the probability that the man would have gotten at least 22 correct coin flip predictions if he had no ESP, we can use a statistical tool called a binomial distribution. Assuming the coin is fair, the probability of getting any single coin flip prediction correct is 0.5, since there are only two possible outcomes (heads or tails) and they are equally likely. We can use this probability to calculate the probability of getting exactly 22 correct predictions out of 30 coin flips, which is:

P(X = 22) = (30 choose 22) {multiply} 0.5^22 {multiply} 0.5{power}8 = 0.099

This means that the probability of getting exactly 22 correct predictions by chance is less than 10%. However, the question asks for the probability of getting at least 22 correct predictions, which includes the probabilities of getting 23, 24, 25, 26, 27, 28, 29, or 30 correct predictions as well.              

To calculate this cumulative probability, we can add up the probabilities of getting each of these outcomes separately:

P(X >= 22) = P(X = 22) + P(X = 23) + ... + P(X = 30)

Using a binomial distribution table or calculator, we can find that this cumulative probability is approximately 0.149.

Therefore, the probability that the man would have done at least as well as 22 out of 30 correct predictions by chance alone is approximately 0.149 or 14.9%, which suggests that his ESP claim may not be supported by the coin flip test results alone.

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The least common denominator is [tex](x^2-3x-4)/(x-4)(x+1) + (x^2-6x+8)/(x-4)(x-2) = 2/(x-4)(x+1)(x-2)[/tex]

Simply put, a rational expression is the product of two polynomials. Or to put it another way, it is a fraction using polynomials as the numerator and denominator.

Reasonable expressions resemble fractions with variable denominators (and often numerators too).

For rational expressions, any value can be entered with the exception of those that set the denominator to 0 (because division by 0 is an undefinable operation).

In other words, all real numbers other than those that make a rational expression's denominator zero are included in the domain of a rational expression.

[tex]x^2-3x-4 = (x-4)(x+1)\\x^2-6x+8 = (x-4)(x-2)[/tex]

The least common denominator is: [tex](x-4)(x+1)(x-2)[/tex]

To add these two rational expressions, we need to rewrite each of them with the LCD as the denominator:

[tex](x^2-3x-4)/(x-4)(x+1) = [(x-4)(x+1)]/(x-4)(x+1)(x-2) = 1/(x-2)\\(x^2-6x+8)/(x-4)(x-2) = [(x-4)(x-2)]/(x-4)(x+1)(x-2) = 1/(x+1)[/tex]

So the sum of the numerators is 1 + 1 = 2.

Therefore,[tex](x^2-3x-4)/(x-4)(x+1) + (x^2-6x+8)/(x-4)(x-2) = 2/(x-4)(x+1)(x-2)[/tex]

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Answer:

9.5 in

Step-by-step explanation:

in order to calculate the area of the triangle, you are required to times the base with height and divide it by 2.

For this instance, 6.8 in X (unknown base) / 2 = 32.30

So what you need to do is times the 32.3 by 2 to get 64.6

Then divide the 64.6 by 6.8 to get the base

WHICH GETS YOU 9.5

hope this helps

Answer:

28.79 cm.

Step-by-step explanation:

The perimeter of a semicircle is equal to the sum of the diameter (which is twice the radius) and half of the circumference of the circle.

The diameter of the semicircle is 2 × 5.6cm = 11.2cm.

The circumference of a full circle with radius 5.6cm is 2π × 5.6cm = 11.2π cm.

Therefore, the circumference of the semicircle is 1/2 of the circumference of the full circle, which is 1/2 × 11.2π cm = 5.6π cm.

The perimeter of the semicircle is the sum of the diameter and the circumference, which is:

11.2cm + 5.6π cm ≈ 28.79cm (rounded to two decimal places)

Therefore, the perimeter of the semicircle is approximately 28.79 cm.

Answer:

pi ( 5.6 ) + 11.2 or approximately 28.79291 cm

Step-by-step explanation:

The outside of the semicircle or the perimeter is 1/2 of the circumference and the length that closes the circle is the diameter.

Perimeter = 1/2 C + d

                 = 1/2 *pi*d + d

The diameter is 2 times the radius.

                 = 1/2 ( pi) * (2r) + 2r

                  = pi r + 2 r

                   = pi ( 5.6 ) + 11.2

Approximating pi, we get approximately 28.79291

A scatter plot of the data is shown below.

The best-fitting line for the data is y = -10t + 165.8.

The predicted number of adult softball teams in 2010 is 56 thousands adult softball teams.

In order to determine a linear equation for the line of best fit (trend line) that models the data points contained in the table, we would have to use a graphing calculator (scatter plot).

In this scenario, the number of years would be plotted on the x-axis of the scatter plot while the number of teams (thousands) would be plotted on the y-axis of the scatter plot.

On the Excel worksheet, you should right click on any data point on the scatter plot, select format trend line, and then tick the box to display an equation for the line of best fit (trend line) on the scatter plot.

From the scatter plot (see attachment) which models the relationship between the number of years and teams (thousands), a linear equation for the line of best fit is given by:

y = -10t + 165.8

Next, we would determine the predicted number of adult softball teams in 2010:

Years, t = 2010 - 1999 = 11 years.

y = -10(11) + 165.8

y = -110 + 165.8

y = 55.8 ≈ 56 thousands adult softball teams.

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The area of the trapezoid ABCD in square inches would be = 80in² . That is option B.

The formula that can be used to calculate the area of the trapezium = ½ (a+b) ×h

Where a = line ED = 14

b = line AD = 14+4 = 18

height = area of rectangle / width

= 70/14 = 5in

Therefore the area of trapezium ;

= 1/2 ( 14+18)× 5

= 160/2

= 80in²

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500 minutes are equal to 8 hours and 20 minutes.

Time is a valuable commodity that we must use wisely. We measure it in seconds, minutes, hours, days, weeks, months, and years. It is important to be able to convert time units so that we can manage our schedule efficiently.

To convert minutes to hours, we need to divide the number of minutes by 60, which is the number of minutes in an hour. Therefore,

500 minutes ÷ 60 minutes/hour = 8.33 hours

However, this answer is in decimal form, which is not a typical way to represent time. We want to express it in hours and minutes.

To do so, we will use the fact that there are 60 minutes in an hour. Therefore, we can multiply the decimal part of the answer by 60 to get the remaining minutes.

0.33 hours x 60 minutes/hour = 20 minutes

So, 500 minutes is equivalent to 8 hours and 20 minutes.

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Answer:5 and a tiny 4 in the corner of that 5

Step-by-step explanation:

there are four 5s so u do 5 with little 4

Refer to the images attached.

Answer:

y = (1/3)x - 4

Step-by-step explanation:

put y on one side

x -3y =12

y =12-x/-3

y=12/-3 -x/-3

y=-4 + 1/3x

chatgpt

Answer:

Step-by-step explanation:

B vertex

50cm is equal to 19.685 inches.

Measurement is a crucial aspect of our lives, and it helps us to determine the quantity, size, or amount of things. Different units of measurement are used to measure various objects, and it is essential to know how to convert from one unit to another. In this article, we will discuss how to convert 50cm to inches, which are both commonly used measurements.

To convert 50cm to inches, we need to know the conversion factor between centimeters and inches. One inch is equal to 2.54 centimeters, which means that we can convert centimeters to inches by dividing the measurement by 2.54.

So, to convert 50cm to inches, we need to divide 50 by 2.54. We can do this using a calculator or by long division.

50 / 2.54 = 19.685 inches

In this case, we have learned how to convert 50cm to inches, which involves dividing the measurement by 2.54.

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(a) To find the probability that a randomly selected adult who visited a therapist during the past year also used antidepressants, we use the formula:

P(A|B) = P(A and B) / P(B)

where A is the event that an adult used antidepressants, and B is the event that an adult visited a therapist. We are given:

P(A) = 0.43

P(B) = 0.27

P(A and B) = 0.20

Plugging these values into the formula, we get:

P(A|B) = 0.20 / 0.27 ≈ 0.74

Therefore, the probability that a randomly selected adult who visited a therapist during the past year also used antidepressants is approximately 0.74.

(b) To find the probability that an adult visited a therapist during the past year, given that he or she used antidepressants, we use Bayes' theorem:

P(B|A) = P(A|B) * P(B) / P(A)

where A and B are defined as before. We have already calculated P(A|B) and P(B), and we know:

P(A) = 0.43

Plugging these values into Bayes' theorem, we get:

P(B|A) = (0.74 * 0.27) / 0.43 ≈ 0.47

Therefore, the probability that an adult visited a therapist during the past year, given that he or she used antidepressants, is approximately 0.47.

Answer:

no because if one of the side is 2, if we calculate semi perimeter it will be 7.5 which is greater

Answer:

x = -2

Step-by-step explanation:

-3x + 1 = 7

Subtract 1 from both sides:

-3x = 6

Divide -3 by both sides:

x = -2

The number 25 can be represented as a decimal by simply writing it as 25.0 or 25.00

The number 25 can be represented as a decimal by simply writing it as 25.0 or 25.00. This is because decimal notation is a way of writing numbers that uses a decimal point to separate the whole number part from the fractional part.

In this case, since 25 is a whole number and has no fractional part, we can represent it in decimal form by adding a decimal point and a zero or two zeros after it to indicate that there are no decimal places.

Alternatively, we can also represent 25 as a decimal by dividing it by 1, which does not change its value, and then expressing the quotient as a decimal. Since 25 divided by 1 equals 25, we can write 25 as a decimal by dividing 25 by 1 and writing the quotient as follows:

25 ÷ 1 = 25.000000... (with the decimal places repeating indefinitely)

However, in most cases, it is sufficient to represent 25 as 25.0 or 25.00, since these notations convey that the number has no fractional part.

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To calculate the value of "600 decreased by 20%", we can multiply 600 by 0.8:

600 × 0.8 = 480

To calculate "600 decreased by 20% and then increased by 20% of the result", we need to multiply 480 by 1.2:

480 × 1.2 = 576

Therefore, 600 decreased by 20% and then increased by 20% of the result is 576.

To find out which number is greater and by how much, we can subtract 576 from 600:

600 - 576 = 24

So, 600 is greater than 600 decreased by 20% and then increased by 20% of the result, by 24.

Answer:

There are 1.91 cups in a pound

The table given in the answer is an example of a conversion table that shows the decimal equivalents of powers of 16. The first row contains the values of 16 raised to the powers of 4, 3, 2, 1, and 0, respectively. The second row shows the equivalent decimal values of these powers of 16.                      

                                   16⁴      16³ 16² 16 1

                                  256 64 16 4 1

These values could also be expressed using radicals or rational numbers, but in this case, the decimal form is simpler and more commonly used.

This can be calculated as 16 x 16 x 16 x 16, which equals 65,536. Similarly, the second entry in the first row is 16³, which means 16 raised to the third power.

To understand why this is the case, we need to convert 16⁴ to decimal form. This can be done by multiplying each digit in the binary representation of 16⁴ by the corresponding power of 2 and adding up the results.

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Answer:

AC=9CM

Step-by-step explanation:

Since ABCD is a kite, we know that the two diagonals, AC and BD, intersect at right angles and that the two pairs of adjacent sides are congruent. Therefore, we have:

AC = BD and AB = BC = CD = DA

We also know that DE = EB, which means that triangle ADE is congruent to triangle BEC (by the side-side-side congruence rule), so we have:

AD = BC and AE = EC

AD=5cm and DC=4cm

Combining these equations, we have:

AC = AD + DC

AC=5cm+4cm=9cm

The 6 times table is a multiplication table that shows the results of multiplying any number by 6.

It is a fundamental arithmetic skill that students typically learn in elementary school, and is an important building block for more advanced math concepts.

To generate the 6 times table, you simply multiply 6 by each whole number starting with 1, and continue the pattern up to a desired number. The first few products in the 6 times table are as follows:

1 x 6 = 6

2 x 6 = 12

3 x 6 = 18

4 x 6 = 24

5 x 6 = 30

6 x 6 = 36

7 x 6 = 42

8 x 6 = 48

9 x 6 = 54

10 x 6 = 60

...

and so on.

It is important for students to memorize the 6 times table, as it can be used to solve a variety of math problems involving multiplication, division, fractions, and decimals. Mastery of the 6 times table is also a key step in preparing for more advanced math concepts, such as algebra and calculus.

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Answer:

Step-by-step explanation:

An equilateral right-angled triangle is impossible to draw. Equilateral means all the sides measure the exact same length. In a right triangle, by definition, the hypotenuse is longer than either of the other sides. so the last choice is the one you want.

Answer:

an equilateral right triangle cannot exist, all angles are 60° and therefore NOT right

Step-by-step explanation:

an equilateral right triangle cannot exist, all angles are 60° and therefore NOT right

The given function is f(x) = 3x.

To find the y-intercept, we plug in x = 0:

f(0) = 3(0) = 0

So the y-intercept is 0.

The domain of the function is given as (-2, -1, 0, 1, 2}. This means that the function is defined only for these values of x.

The range of the function is all real numbers, since for any real number y, we can find an x such that f(x) = y. We can see this from the fact that the function is a linear function with a non-zero slope.

The end behavior of the function as x approaches infinity depends on the sign of the coefficient of x, which is positive in this case. Therefore, as x → ∞, f(x) → ∞. Similarly, as x → -∞, f(x) → -∞.

Note that the given domain is a finite set of values, and does not affect the end behavior of the function as x approaches infinity or negative infinity...

A rational number is a number that can be expressed as the ratio of two integers, where the denominator is not zero.

A normal number is a number that can be communicated as the proportion of two whole numbers, where the denominator isn't equivalent to nothing. This implies that a normal number can be written in the structure p/q, where p and q are numbers and q isn't equivalent to nothing.

For instance, 3/4, 7/2, and - 5/6 are instances of normal numbers. Be that as it may, numbers like pi (π) and the square foundation of 2 (√2) are not objective, since they can't be communicated as a proportion of two numbers.

Normal numbers are significant in math, as they structure a subset of the genuine numbers and can be utilized to address amounts in a wide range of settings, like portions, proportions, and probabilities. They are additionally utilized broadly in polynomial math, where they structure the reason for tackling conditions and controlling articulations.

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