cho hình thang ABCD vuông tại A và D cho biết AD=20 AC=52 và BC=29 Tính độ dài AB

Therefore  the range of the quadratic function with vertex (-3, -1) is y ≥ -1 and the domain is all real number and the Domain is real numbers .

A quadratic function's vertex form is given by:

\(y = a(x - h)^2 + k\)

where (h, k) is the parabola's vertex. In this instance, we have:

\(h = -3, k = -1\)

So the quadratic function's equation is:

\(y = a(x + 3)^2 - 1\)

To determine the function's range, we must first determine the minimum value of y. Because the squared term's coefficient is positive, the parabola opens upwards and the vertex is a minimum point. As a result, the range is:

Range: y ≥ -1

To determine the function's domain, we must first determine the set of all x-values for which the function is defined. Due to the fact that a quadratic function is defined for all real numbers, the domain is:

Domain: All real numbers

So the domain of the quadratic function with vertex (-3, -1) is all real numbers, and its range is y -1.

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The three collinear points on line m are J, K, and W.

Point P cannot be determined if it is not known whether it lies above, below, to the left, or to the right of the intersecting lines.

An infinite number of lines could be drawn through points P and X, as long as they do not intersect any of the given lines except at P or X.

Only one line can be drawn through points X and W since they are two distinct points in a two-dimensional space. Additionally, line n intersects line m at point W, which means that line n and line m are not parallel. Since any two non-parallel lines in a two-dimensional space can only intersect at one point, the intersection of line m and line n at point W further confirms that only one line can be drawn through points X and W.

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Ok, you will need a protractor, ruler a pencil and paper for this one.

Create a dot on the paper and label that A (airport)

Measure out an angle of 40° from the airport dot and draw a 5cm line (because 1cm = 5km, so 5cm = 25km) that is how much the jet has gone.

From the airport again measure out an angle of 230° (if you dont have a 360° protractor, do 180° then 140°) and draw a line that is 6cm (30 ÷ 5 = 6)

Measure how far the ends of the lines are from each other, then convert the cm into km by multiplying it by 5.

That is how far they are apart in km.

The probability that a flight between New York City and Chicago is less than 135 minutes is 0.6667, or approximately 0.67. This means there is a 67% chance that a randomly selected flight will take less than 135 minutes.

In the given problem, we are told that the time to fly between the two cities follows a uniform distribution, with a minimum of 120 minutes and a maximum of 150 minutes. In a uniform distribution, the probability of an event within a certain range is proportional to the length of that range. Therefore, to find the probability of a flight being less than 135 minutes, we need to calculate the length of the range from 120 to 135 minutes and divide it by the length of the entire distribution, which is 150 - 120 = 30 minutes.

The length of the range from 120 to 135 minutes is 135 - 120 = 15 minutes. Dividing this by the length of the entire distribution gives us 15/30 = 0.5, or 50%. However, since the distribution is continuous and the probability of exactly 135 minutes is zero (as the distribution is uniform), the probability of a flight being less than 135 minutes is slightly greater than 0.5. Thus, the correct answer is approximately 0.67.

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Average speed = total distance /  total time

Speed = 1400 miles / 21.5 hours

Speed = 65.116 miles per hour

Round the answer as needed.

Answer:

Step-by-step explanation:

It is 2

Because 2x2=4

Answer:

2

Step-by-step explanation:

Because when you put it in the calculator it is right

As average animal has four legs, there were ten pigs and ten chickens, giving a total of 54 legs: 10 x 4 = 40 legs, 10 x 2 = 20 legs.

10 pigs and 10 chickens were present. 10 pigs have 4 legs each, for a total of 40 legs. 10 chickens have 2 legs each, for a total of 20 legs. 40 + 20 = 54 legs. Jill counted the animals in the farmyard and found twenty. The 20 animals had a total of 54 legs, according to Jack. We can perform a straightforward step-by-step computation to determine the number of pigs and chicks present. Since each pig has four legs, we may generate 40 legs by multiplying the number of pigs, 10, by 4. Similar to humans, chickens have two legs each, so multiplying 10 by 2 results in 20 legs. The sum of the two figures gives us 54 legs, which is the same as Jack's estimate. Hence, the farmyard contained 10 pigs and 10 hens.

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The probability that a randomly chosen child has a height of less than 68.15 inches is 0.9162, the probability that a randomly chosen child has a height of more than 54.4 inches is 0.6255.

Simply put, probability is the liability that commodity will do. When we do not know how an event will turn out, we can bandy the liability or liability of several issues. Statistics is the study of events that follow a probability distribution.

a) We need to find p(x<68.15)

Standardize x to z, we have, z = (68.15-μ)/σ

=(68.15-57)/8.1

=1.38

Reading from standard normal tables,

p(z<1.38) =0.9162.

Therefore, the probability that a randomly chosen child has a height of less than 68.15 inches is 0.9162.

b) We need to find p(x>54.4)

Standardize x to z, we have, z = (54.4-μ)/σ

=(54.4-57)/8.1

=-0.32

Reading from standard normal tables,

p(z>-0.32) = 0.6255

Therefore, the probability that a randomly chosen child has a height of more than 54.4 inches is 0.6255.

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Answer:

5) \(\frac{3}{2}\) 6) Undefined 7) \(\frac{7}{2}\) 8) \(\frac{3}{6}\)

Step-by-step explanation:

So I explained undefined lines already (they can be going horizontal or vertical btw)

5) They actually give you points so it will be a lot easier. Start at your one on the left because its a positive line so our rise over run should be going right, so we will start left to right. Anyways, Take that point and count up to the line where the second one is sat, then count from their over to the second point. So, when the second number isnt 1, you will have a slope in fraction form, do not simplify. Its a simple concept just hard to explain. Your top number will be the number you conted from the first point up or down. Take this explanation to the other ones

Im not sure if you saw the comment but Ill update the answer. 9 is -\(\frac{1}{3}\)  (negative) 10 is (negative) \(\frac{2}{3}\)

The number of new cases of a disorder in a population that emerge in a particular time interval is called the incidence.

Incidence refers to the rate at which a new event occurs in a population. Incidence takes into account the variable time period during which a disease-free individual becomes at risk of spreading the disease.

In incident calculations, the quantifier is the number of events that have occurred in a given time. Then the quantifier of the denominator is the population that is at risk of experiencing the event during this period.

Simply put, incidence refers to new cases and is used to determine the etiology of the disease. While prevalence is more widely used to refer to health status in certain populations.

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I canot make the graph for you, However, 4 miles in 44 minutes means Al is running 1 mile in 11 minutes on average.

1 mile 11 minutes

3 miles 33 minutes

4 miles 44 minutes

Answer:

81%

Step-by-step explanation:

divide 162 by 200

Answer:

power = work/ time

2hrs = 60×2 seconds = 120s

power = 1987/120

= 16.5 watt

Answer:

Spent 62.14/100 or 62.14%

Step-by-step explanation:

Answer:

62.14/100

Step-by-step explanation:

50*2=100

31.07*2=62.14

62.14/100

The factorization of the given polynomial is:

p(x) = (x - 2/3)*(x - 1) = (1/3)*(3x - 2)*(x - 1)

We have:

\(p(x) = 3x^2 - 5x + 2\)

First, we need to find the two roots for the equation, then we use Bhaskara's formula to get:

\(x = \frac{5 \pm \sqrt{5^2 - 4*3*2} }{2*3} \\\\x = \frac{5 \pm 1}{6}\)

So the two solutions are:

x = (5 + 1)/6 = 1

x = (5 - 1)/6 = 4/6 = 2/3

Then the polynomial can be written as:

p(x) = (x - 2/3)*(x - 1)

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Answer: (3x -2) and (x-1)

Step-by-step explanation:

Just took the test

Answer:

no

\( {16}^{2} + {35}^{2} is not equal {41}^{2} \)

The number that corresponds to the null hypothesis and the alternative hypothesis will be 3 and 6 respectively.

Specify the correct number from the list below that corresponds to the appropriate null and alternative hypotheses for this problem.

It should be noted that the null hypothesis suggests that there's no statistical relationship between the variables.

The alternative hypothesis is different from the null hypothesis as it's the statement that the researcher is testing.

In this case, the number that corresponds to the null hypothesis and the alternative hypothesis will be 3 and 6 respectively.

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Answer:

7×3

21-9=12

thats how u do kiddo

Answer:

The correct option is b.

Given, log23

We need to find between which two integers is the value of log23. Integers are whole numbers and their negative counterpart, for example, …, -3, -2, -1, 0, 1, 2, 3, ….We know that log2 3 lies between 1 and 2.

So, option (b) 1 and 2 is the correct answer. Hence, the correct option is b.

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Answer:

The correct option is integers 1 and 2 that is option b.

Given, log23

We need to find between which two integers is the value of log23. Integers are whole numbers and their negative counterpart, for example, …, -3, -2, -1, 0, 1, 2, 3, ….We know that log2 3 lies between 1 and 2.

So, option (b) 1 and 2 is the correct answer. Hence, the correct option is b.

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Answer: c=0

Step-by-step explanation:

Answer:

Step-by-step explanation:

The Probability of Landing a heads is (1/2)

Now, to find the probability of landing it five times in a row, it is

1/2 x 1/2 x 1/2 x 1/2 x 1/2

( 1/2 is multiplied to the number of times to get a head )

The final answer will be,

Probability of landing heads 5 times in a row = 1/32

3)  since we don't have the information about the interest paid (I), we cannot determine the rate of interest at this time.

(1) To find the total amount Adrian paid in 36 months, we can multiply the monthly installment by the number of installments:

Total payment A = Monthly installment * Number of installments

              = $375 * 36

              = $13,500

Therefore, Adrian paid a total of $13,500 over the course of 36 months.

(2) In the simple interest formula I = Prt, the letters used represent the following variables:

I: Interest (the amount of interest paid)

P: Principal (the initial amount, or in this case, the car worth)

r: Rate of interest (expressed as a decimal)

t: Time (in years)

(3) To find the rate of interest in percentage, we need more information. The simple interest formula can be rearranged to solve for the rate of interest:

r = (I / Pt) * 100

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The probability that the customer will default. is 0.2337.

Probability simply means the chance that a particular thing or event will happen. It is the occurence of likely events. It is simply the area of mathematics that deals with the numerical estimates of the chance that an event will occur or that a particular statement is true.

P(missing one month payment | not default) = 0.21

P(missing one month payment | default) = 1

P(missing one month payment) = P(missing one month payment | default) * P(default) + P(missing one month payment | not default) * P(not default)

= 1 * 0.03 + 0.21 * 0.97

= 0.2337

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Answer:

≅ 0.76 or 76%

Step-by-step explanation:

To find the probability that at least one copy machine is out of order, we can use the complement rule. That is, we can find the probability that none of the copy machines are out of order, and then subtract that from 1.

The probability that a particular copy machine is working is 1 - 0.3 = 0.7. Since we have four copy machines that work independently of each other, the probability that all four machines are working is:

0.7 x 0.7 x 0.7 x 0.7 = 0.2401

So the probability that none of the copy machines are out of order is 0.2401.

Therefore, the probability that at least one machine is out of order is:

1 - 0.2401 = 0.7599

So the probability that at least one copy machine is out of order is approximately [0.76, or 76%.]

316 is value of   circle's arc BC .

What is an arc in maths?

Short arc BC is the difference between 360° and long arc BAC

 arc BC = 360 - arc BAC

             = 360 - 44

              = 316

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According to this graph of supply and demand schedules, the current cost of the good is:

A demand schedule in economics is a table that displays the quantity demanded of an item or service at various price points. On a graph where the X-axis is quantity and the Y-axis is price, a demand schedule can be represented as a continuous demand curve.

A demand schedule, also known as a tabular representation or statement, displays the various quantities of goods that are wanted at various price points throughout a given time period. The precise quantity of goods and services that will be purchased at each price will be shown on a demand schedule.

The complete question is : Which statement best describes the current price for the good shown in this graph of supply and demand schedules? A. The current price should be raised to reflect lower supply. B. The current price reflects the point where supply and demand are balanced. C. The current price should be lowered to reflect higher supply. D. The current price should be lowered to reflect lower demand.​

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The uncertainty or error propagation in y where y = cos(2x) and x = 4π ± 0.3 is 0.

We employ the uncertainty propagation formula to determine the uncertainty in y when y = cos(2x) and x = 4π ± 0.3.

σy = √((∂y/∂x)² × σx²)

First, we find the partial derivative of y with respect to x:

∂y/∂x = -2 sin(2x)

Next, we substitute the given value of x and its uncertainty into this expression:

∂y/∂x = -2 sin(2(4π ± 0.3))

     = -2 sin(8π ± 0.6)

     = -2 sin(8π)  [since sin(8π ± 0.6) = sin(8π)]

     = 0

Since ∂y/∂x = 0, the uncertainty in y is as follows:

σy = √((∂y/∂x)² × σx²)

  = √(0 × 0.3²)

  = √0

  = 0

So the uncertainty in y is zero, which means that y is a precise value and its exact value can be determined.

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Answer:

  see boxed results below

Step-by-step explanation:

You want to simplify the sums of the given rational expressions.

The relevant rules of exponents are ...

  (a^b)(a^c) = a^(b+c)

  (a^b)/(a^c) = a^(b-c)

  a^-b = 1/a^b

Application of these can be tedious, but is not difficult. We generally choose to write these expressions on one line with the variables in alphabetical order. Terms with like constellations of variables can be combined.

  \(\dfrac{p^2x^4}{m^5}-\dfrac{2p^4m^5}{x^{-4}}-\dfrac{3p^2x^2}{x^{-2}m^5}+\dfrac{7p^2m^{-5}m^{10}x^4}{p^{-2}}\\\\\\=m^{-5}p^2x^4-2m^5p^4x^4-3m^{-5}p^2x^4+7m^5p^4x^4\\\\\\=5m^5p^4x^4-2m^{-5}p^2x^4=\boxed{5m^5p^4x^4-\dfrac{2p^2x^4}{m^5}}\)

The 1st and 3rd terms were combined, as were the 2nd and 4th.

  \(-\dfrac{m^4x^5}{k^5}+\dfrac{2m^2x^5}{k^5m^{-2}}-\dfrac{3m^3x^2k}{m^{-4}x^3k^4}\\\\\\=-k^{-5}m^4x^5+2k^{-5}m^4x^5-3k^{-3}m^7x^{-1}\\\\\\=k^{-5}m^4x^5-3k^{-3}m^7x^{-1}=\boxed{\dfrac{m^4x^5}{k^5}-\dfrac{3m^7}{k^3x}}\)

The first and second terms were combined.

__

Additional comment

The attachment shows the simplification performed by a calculator. These are written in decreasing order of degree of the terms. (The degree is the sum of the exponents.)

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