Draw a rectangle with its diagonals. Label the vertices K. M. and L The point where the diagonals intersect mark NW JN - 2x +8, LN - 5x15, and the measure of the angle KNL - 108 degrees and KM and the measure of the angle NMJ (6 pts) 8. Draw two lines that intersect. (Like the shape X) Mark the ends of the lines: P. T S and R. The point of intersection name Q. Given PR-ST PQ = QT = Prove: QR SQ

Answer:

53 degrees

Step-by-step explanation:

If r is 25 and s is 102, and if there are 180 degrees in a triangle, then you can just add to get 53.

Answer:

53

Step-by-step explanation:

Hello There!

So in this problem they give us two angles of a triangle and want us to find the missing angle

Remember the sum of all of the angles in a triangle is 180

So to find the missing angle we subtract the given angles from 180

180-25-102=53

so we can conclude that the answer is 53

Answer:

1/6

Multiply 5/12 x 2/5 then cross cancel 12 and 2 and get 6 then cross cancel 5 and 5 to get 1.

Final answer:

1/6

Answer:

c.

Step-by-step explanation:

This criterion can be defined based on the desired level of accuracy or when the change in the estimated parameters falls below a certain threshold.

When implementing a program for a nonlinear problem using the least square adjustment technique, it is essential to determine a termination condition. This condition dictates when the program should stop iterating and provide the final estimated parameters. A common approach is to set a convergence criterion, which measures the change in the estimated parameters between iterations.

One possible criterion is to check if the change in the estimated parameters falls below a predetermined threshold. This implies that the adjustment process has reached a point where further iterations yield minimal improvements. The threshold value can be defined based on the desired level of accuracy or the specific requirements of the problem at hand.

Alternatively, convergence can also be determined based on the objective function. If the objective function decreases below a certain tolerance or stabilizes within a defined range, it can indicate that the solution has converged.

Considering the chosen termination condition is crucial to ensure that the program terminates effectively and efficiently, providing reliable results for the nonlinear problem.

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Answer:

A

Step-by-step explanation:

The circumference formula is C = 2*pi*r, and we have r = 6. So C = 2*pi*6 which means that

C = 12pi.

The area can be found with the formula: A = pi*r^2, and we have r = 6. So, A = pi*36 or 36pi. So the answer would be A where Circumference = 12pi and Area = 36pi

Answer:

its called a Domain

Step-by-step explanation:

All of the x-values or inputs are called Domain.

"x-values" is the word used in mathematics and statistics to describe the input values or independent variables in a function or equation.

These x-values stand for a function's inputs, arguments, or the points at which a mathematical connection is being assessed.

The outputs or dependent variables of a function are represented by the appropriate y-values, which are often paired with the associated x-values. The link between the independent and dependent variables can be seen on a graph by plotting the x-values and y-values together as data points.

For example, in the equation y = 2x + 3, "x" represents the x-values or inputs, while "y" represents the corresponding y-values or outputs. By substituting different values for x, you can calculate the corresponding y-values and observe how changes in the x-values affect the relationship described by the equation.

Hence the answer is Domain.

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The conversion of \(\dfrac{7\pi}{4}\) in degrees will be equal to 315°

Radian is a unit of angle, equal to an angle at the centre of a circle whose arc is equal in length to the radius.

Here the given angle in radian is \(\dfrac{7\pi}{4}\)

Angle in degrees is converted by multiplying it with \(\dfrac{180}{\pi}\).

So the angle in degrees will be:-

\(=\dfrac{7\pi}{4}\times \dfrac{180}{\pi}\)

\(=\dfrac{7\times 180}{4}\)

Angle=315°

Therefore the conversion of \(\dfrac{7\pi}{4}\) in degrees will be equal to 315°

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Answer:

110

Step-by-step explanation:

Rate or proportion shows the relationship between the variation in the  number of two variables.

Given that the ratio of alternative songs to total songs is 9:14.

Total songs = 308

Since the to every 14 total songs, there is 9 alternative songs.

Thus,

Number of alternative songs = \(\frac{9}{14}\) x 308

                                                = 198

There are 198 alternative songs in the music library.

The number of songs that are NOT alternative songs = 308 - 198

                                                                                         = 110

Thus, there are 110 songs that are NOT alternative songs.

The value of x is -793.

What are arithmetic operations?

Arithmetic operations is a branch of mathematics, that involves the study of numbers, the operation of numbers that are useful in all the other branches of mathematics. It basically comprises operations such as Addition, Subtraction, Multiplication, and Division.

We have,

\(\frac{12}{23} - (23 * 35) = x\)

x =?

To solve this equation, we can start by performing the operations inside the parentheses first:

\(\frac{12}{23} - (23 * 35) = x\)

\(\frac{12}{23} - 805 = x\)

Next, we can perform the division:

\(\frac{12}{23} - 805 = x\)

12 - 805 = x

Finally, we can subtract 805 from both sides to solve for x:

12 - 805 = x

-793 = x

Therefore, the value of x is -793.

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The probability of choosing a 5 and then a 6 is 1/49

From the question, we have the following parameters that can be used in our computation:

The tiles

Where we have

Total = 7

The probability of choosing a 5 and then a 6 is

P = P(5) * P(6)

So, we have

P = 1/7 * 1/7

Evaluate

P = 1/49

Hence, the probability of choosing a 5 and then a 6 is 1/49

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Question

You randomly choose one of the tiles. Without replacing the first tile, you choose a second tile. Find the probability of the compound event. Write your answer as a fraction or percent rounded to the nearest tenth. The probability of choosing a 5 and then a 6

a) If $9,000 is invested at 8% interest compounded annually, after 1 year, the future value will be $9,720.

b) If $9,000 is invested at 8% interest compounded annually, after 2 years, the future value will be $10,497.60.

We can use an online finance calculator to determine the future value.

The future value represents the present investment compounded at an interest rate into the future.

N (# of periods) = 1 year

I/Y (Interest per year) = 8%

PV (Present Value) = $9,000

PMT (Periodic Payment) = $0

Results:

Future Value (FV) = 9,720.00

Total Interest = $720.00

N (# of periods) = 2 years

I/Y (Interest per year) = 8%

PV (Present Value) = $9,000

PMT (Periodic Payment) = $0

Results:

Future Value (FV) = $10,497.60

Total Interest = $1,497.60

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The probabilities for the hypergeometric distribution with the given parameters are:

a. P(X = 1) ≈ 0.000407

b. P(X = 6) = 0

c. P(X = 4) ≈ 0.098117

d. P(X = 0) ≈ 1.97e-05

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty.

To determine the probabilities for the hypergeometric distribution with the given parameters, we can use the following formula:

P(X = k) = (choose(K, k) * choose(N-K, n-k)) / choose(N, n)

where "choose(a, b)" represents the binomial coefficient, calculated as a! / (b! * (a - b)!)

Let's calculate the probabilities:

a. P(X = 1):

P(X = 1) = (choose(20, 1) * choose(100-20, 4-1)) / choose(100, 4)

        = (20 * 80) / 3921225

        ≈ 0.000407

b. P(X = 6):

P(X = 6) = (choose(20, 6) * choose(100-20, 4-6)) / choose(100, 4)

        = (38760 * 0) / 3921225

        = 0

c. P(X = 4):

P(X = 4) = (choose(20, 4) * choose(100-20, 4-4)) / choose(100, 4)

        = (4845 * 80) / 3921225

        ≈ 0.098117

d. P(X = 0):

P(X = 0) = (choose(20, 0) * choose(100-20, 4-0)) / choose(100, 4)

        = (1 * 77) / 3921225

        ≈ 1.97e-05

Therefore:

a. P(X = 1) ≈ 0.000407

b. P(X = 6) = 0

c. P(X = 4) ≈ 0.098117

d. P(X = 0) ≈ 1.97e-05

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The complete question is:

Suppose that X has a hypergeometric distribution with N = 100, n = 4, and K = 20. Determine the following: a. P(X = 1) b. P(X = 6) c. P(X = 4) d. P(X = 0).

Explanation:

1 hat = 45 dollars

6 hats = 6*45 = 270 dollars

1 phone = 40 dollars

4 phones = 4*40 = 160 dollars

total = $270 + $160 = $430

Felicia spent a total of $430. Since this amount of money leaves her account, this means we write a negative sign out front to end up with the final answer of -430

In other words, her account balance went down by $430 which is why we use a negative. If someone gave her $430, then the answer would be positive.

If P(t) is the size of a population at time t , the differential equation describes linear growth in the size of the population is \(\frac{dP}{dt}=200\)

The differential equation is is an equation that contains one or more functions with its derivatives. The derivatives of the function define the rate of change of a function at a point.

dy/dx = f(x)

Here “x” is an independent variable and “y” is a dependent variable

According to the question,

Size of population at t time = P(t)

Also given ,The differential equations have a linear growth in the size of the population.

So, The degree of the variable must be one. And the equation of the population will be quadratic.

Therefore , dP/dt = 200 tells us the rate change of population with respect to time.

A derivative of linear function is constant .

Hence , option B is correct.

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The total surface area of the pyramid is 144 m².

The total surface area of the regular pyramid is calculated as follows;

Total surface area = area of the base + 3 (area of lateral surfaces)

The area of the base is calculated as follows;

A = ¹/₂bh

where;

A = ¹/₂bh

A = ¹/₂ x 10 m  x 8.7 m

A = 43.5 m²

The lateral surface area is calculated as follows;

L.S.A = 3 (¹/₂ bh)

where;

L.S.A = 3 (¹/₂ x 10 m x 6.7 m )

L.S.A = 100.5 m²

The total surface area of the pyramid is calculated as follows;

T.S.A =  100.5 m² + 43.5 m²

T.S.A = 144 m²

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Answer:

A ∪ B = {2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13}

A ∩ B = {5}

Step-by-step explanation:

A ∪ B means all the elements in sets A and B without repetition

A ∩ B means the common elements in the two sets A and B

∵ Set A = {5, 6, 7, 8, 9, 10}

∵ Set B = {2, 3, 4, 5, 11, 12, 13}

→ To Find A ∪ B, write all the elements in the two sets but don't

   repeat the common element

∵ 5 is a common element in the two sets

∴ Don't repeat it in A ∪ B

∴ A ∪ B = {2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13}

→ To find A ∩ B, write the common elements in the two sets

∵ 5 is the only common element in the two sets

∴ A ∩ B = {5}

Answer:

First, you will need to arrange the data in an ascending order and the median is the middle value.

If the number of values is an even number, the median will be the average of the two middle numbers.

2, 6, 7, 10, 11, 15, 15

The median in this set is 10.

Step-by-step explanation:

I hope that this answer has helped you to understand your question, If you have any further questions, please put them below.

Have a great rest of your day/night!

Answer:

Step-by-step explanation:

A regular polygon with 3 sides is an equilateral/equiangular triangle. All the interior angles measure 60 degrees. The exterior angles are supplementary to that (add up to 180) so an exterior angle is 180 - 60 = 120

Expression (5x² - 2x + 7), (\(\frac{1}{5}x^3 -\frac{7}{2}x^2 -2\)) and (y⁵ - √(5y²) + 7) are polynomials.

A polynomial is a type of algebraic expression where exponents of all variables are whole number.

1) 5x² - 2x + 7

Since there are no variables raised to negative or fraction exponents,

the expression is a polynomial.

2) \(\frac{1}{5}x^3 -\frac{7}{2}x^2 -2\)

Since there are no variables raised to negative or fraction exponents,

the expression is a polynomial.

3) y⁵ - √(5y²) + 7

This can be re-written as

\(y^5-(\sqrt{5})y+7\)

Since there are no variables raised to negative or fraction exponents,

the expression is a polynomial.

4) \(\frac{y^3}{3} -\sqrt{y} +2\)

This can be re-written as

\(\frac{1}{3}y^2 -y^{1/2}+2\)

Since variable y is raised to a fraction exponent,

the expression is not polynomial.

Therefore, expression (5x² - 2x + 7), (\(\frac{1}{5}x^3 -\frac{7}{2}x^2 -2\)) and (y⁵ - √(5y²) + 7) are polynomials.

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12/35 fraction of the total number is unused from two different cards.

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

Assuming the total first kind of card form is 1 and the total second kind of card form is also one.

Given, a company buys equal numbers of two different card forms. it utilizes 4/5 of one kind and 6/7 of the other.

∴ The total unused card form is,

= (1 + 1) - (4/5 + 6/7).

= 2 - (28 + 30)/35.

= 2 - 58/35.

= (70 - 58)/35.

= 12/35.

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Sometimes a gene's DNA sequence or level of activity is altered by the environment. Both of these effects have the potential to alter the proteins that a gene produces, which in turn influences characteristics.

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50,400 different anagrams can be made from the letters in the word statistics.

Given word : STATISTICS

Anagrams are words formed by jumbling the positions of the letters given in the word.

For such problems we do factorial of number of words and divide by the repeated letters factorials.

Total number of letters = 10

They can be permutated among themselves in 10! ways.

Some letters are repeated in word STATISTICS

Since, there are 3 S's and 3 T's and 2 I's

So, Number of anagrams = \(\frac{10!}{3!.3!.2!}\)

= \(\frac{10 \times 9 \times 8 \times 7 \times 6 \times 5 \times 4 \times 3!}{3! \times 3 \times 2 \times 1 \times 2 \times 1}\)

= \(\frac{10 \times 9 \times 8 \times 7 \times 6 \times 5 \times 4}{3 \times 2 \times 2}\)

= 10 × 9 × 8 × 7 × 2 × 5

= 50,400

50,400 different anagrams can be made from the letters in the word statistics.

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The maximum value attained by the sum of the expression is 169 when N is the two-digit number 98.

Let N be a two-digit number with digits a and b. Then, the sum of N and the product of its digits is N + ab, and the sum of N's digits is a + b. Therefore, the expression we want to maximize is:

Substituting N = 10a + b, we get:

To maximize this expression, we want to maximize a and b. Since a and b are digits, they must be between 1 and 9. If we set a = 9 and b = 8, we get:

Therefore, the maximum value attained by the expression is 169 when N is the two-digit number 98.

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Answers:

a) 2 hours and 45 minutes (2:45)

b) 2 hours and 50 minutes (2:50)

c) 2 hours and 20 minutes (2:20)

d) 3 hours and 20 minutes (3:20)

Step-by-step explanation:

Subtract each times.

Replace the 100 value with 60 to represent minutes.

a) 15:20 - 12:35 = 2:45.

b) 13:05 - 10:15 = 2:50.

c) 6:50 - 4:30 = 2:20.

d) 13:15 (1:15 p.m.) - 9:55 = 3:20.

Answer:

(-5,5) (-1,4)

Step-by-step explanation: Test each point either by graphing the system of inequalities or by substituting values to see which points satisfy both inequalities.

because it lies within the overlapping shaded region, (-5,5) is a solution.

Because it lies on a solid boundary of the overlapping region, (-1,4) is a solution.

Because they lie in the shaded region of only one inequality, not both, (0,5) and (0,-5) are not solutions.

Because it lies on a dashed boundary of the overlapping region, (-3,-3) is not a solution.

Lol, I did the tutorial.

Answer:

(-5,5)

(-1,4)

Step-by-step explanation:

Because it lies within the overlapping shaded region, (-5,5) is a solution.

Because it lies on a solid boundary of the overlapping region, (-1,4) is a solution.

Because they lie in the shaded region of only one inequality, not both, (0,5) and (0,-5) are not solutions.

Because it lies on a dashed boundary of the overlapping region, (-3,-3) is not a solution.

The answers, rounded to the appropriate number of significant figures, are as follows:

(a) 1.088 ×\(10^2\)

(b) 2.132

(c) 1.3331 ×\(10^1\) and

(d) 1.05.

Let's calculate the answers to the given operations using the appropriate number of significant figures.

(a) 8.370×1.3×10

To perform this multiplication, we multiply the decimal numbers and add the exponents of 10:

8.370 × 1.3 × 10 = 10.881 × 10 = 1.0881 × \(10^2\)

Since the original numbers have four significant figures, we round the final answer to four significant figures:

1.088 × \(10^2\)

(b) 4.265/2.0

For division, we divide the decimal numbers:

4.265 ÷ 2.0 = 2.1325

Since both numbers have four significant figures, the answer should be rounded to four significant figures:

2.132

(c) (1.2588×\(10^3\))×(1.06×\(10^-^2\))

To multiply these numbers, we multiply the decimal numbers and add the exponents:

(1.2588 × \(10^3\)) × (1.06 × \(10^-^2\)) = 1.333128 × \(10^1\)

Since the original numbers have five significant figures, we round the final answer to five significant figures:

1.3331 × \(10^1\)

(d) \((1.11)^(^1^/^2^)\)

To calculate the square root, we raise the number to the power of 1/2:

\((1.11)^(^1^/^2^)\)= 1.0524

Since the original number has three significant figures, the answer should be rounded to three significant figures:

1.05

It's important to note that the significant figures in a result are determined by the original data and the operations performed. The final answers provided above reflect the appropriate number of significant figures based on the given information and the rules for significant figures.

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Answer:

41,300

you can take the 4.13 and put it in the first three spaces hope this helps

Answer:

its 41300 just add your powers, its like 4.13 to the ten-thousanth power

Step-by-step explanation:

put the 4 infront of the decimal and 13 behind, and move it and add places markers till you get where u need to go

(sorry, im not THAT good at explaining things -ω-

(a) The surface area of the cylinder is

                 \(2\pi r(r+h) = 2\pi *6*(6+4) = 376.991\\\)  square centimeters

(b) The Volume of the cylinder is

                 \(\pi r^{2} h = \pi (6^{2} )*4 =452 .389\)  cubic centimeters

(c)  The more volume option is choice 1.

             \(\pi r^{2} h = \pi (12^{2} )*4 = 1809.557\\\\\pi r^{2} h = \pi (6^{2} ) *12 = 1357.168\\\)

Hope that helps!

Answer:

(a) The surface area of the cylinder is

2πr(r+h)=2π*6*(6+4)=376.991 square centimeters

(b) The Volume of the cylinder is

πr²h= π(6²)*4=452.389 cubic centimeters

(c)  The more volume option is choice 1.

πr²h= π(12²)*4=1809.557

πr²h= π(6²)*12=1357.168

Answer:

One liter of water.

A Pineapple.

A Bunch of Bananas.

A 1 liter bottle of water

The given figure is a triangle with 3 sides and angles. The length of BC as shown in the diagram is 20.5in

The given figure is a triangle with 3 sides and angles. In order to determine the length of BC, we will use the expression given:

cos 35 = a/25

where a = BC

cos 35 = BC/25
BC = 25cos 35
BC = 20.5in

Hence the length of BC as shown in the diagram is 20.5in

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