14
\(14 \geqslant x - 8\)
​

The measure of ∠ LMN in kite KLMN be 49°.

In geometry, a polygon's angle is made up of two of its sides that have a common terminal. If a point within the angle is inside the polygon's interior, the angle is referred to as an interior angle for a simple polygon, whether it is convex or not.

Interior angles are those that are located inside a shape, or they can also be described as the angles that are located in the region enclosed by two parallel lines and a transversal.

The total of a triangle's three interior angles will always be 180 degrees. A triangle cannot have a single angle with a measure of 180° since the other two angles (180° + 0° + 0°) would not be present.

If the measure

LM = MN

LK = KN

∠ MNK = ∠ MLK

we have

∠ MNK = 106°

∠ LKN = 99°

∠ MLK = 106°

The sum of the internal angles in the kite exists equivalent to

∠ MNK + ∠ LKN + ∠ MLK + ∠ LMN = 360°

substitute values and solve for ∠ LMN

∠ LMN = 360° - 106° - 106° - 99°

∠ LMN = 49°

Therefore, the measure of ∠ LMN in kite KLMN be 49°.

The complete question is:

What is the measure of ∠LMN in kite KLMN?

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Answer:

Polly do you know the formula for law of Cosines?  

find it if  you don't

Step-by-step explanation:

a = sqrt( b^2 +c^2 - 2bcCos(A) )

a = sqrt( 100 + 62.41 -34.197)

a = sqrt(128.213)

a = 11.323

a = 11.3  ( to the nearest tenth )

The probability that at least nine of ten randomly selected flashlights will work, given that 80% of all batteries have acceptable voltages, is 0.2684.

This problem can be solved using the binomial distribution.

Let X be the number of flashlights out of 10 that will work. Then X is a binomial random variable with n = 10 and p = 0.8.

We want to find P(X ≥ 9). Using the binomial probability formula, we can compute

P(X ≥ 9) = P(X = 9) + P(X = 10)

= (10 choose 9)(0.8)^9(0.2)^1 + (10 choose 10)(0.8)^10(0.2)^0

= 0.2684

Therefore, the probability that at least nine out of ten flashlights will work is 0.2684 (rounded to three decimal places).

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Answer:

1

Step-by-step explanation:

any number to the power 0 is equal to 1

Answer:  1

Step-by-step explanation:

n^0 = 1

any number raise to zero is one

Answer:

Step-by-step explanation:

Patrick thinks that when 'a' is a negative integer and 'b' is a positive,

Let "a = -2" and "b = 3"

a). a - b is positive.

a - b = -2 - 3

            = -5 {negative]

Therefore, statement is False.

(a - b) is negative.

b). b - a is positive.

b - a = 3 - (-2)

       = 3 + 2

       = 5 [Positive]

Statement is True.

c). a - (-b) is negative.

a - (-b) = a + b

          = -2 + 3

          = 1 [Positive]

False.

But it's true when a = -5 and b = 3

a - (-b) = -5 - 3

           = -8 [Negative]

Answer:

I'm going to get my friend to answer this for you

Answer:

Examples of sinusoidal graphs can be found in wave patterns, temperature patterns over extended period of times.

If the sum of squares for error (SSE) is 40 and the sum of squares due to the model (SSM) is 60, therefore, the answer is (c) 0.60.

Based on your question,  the coefficient of determination (R²) for a simple linear regression, given the sum of squares for error (SSE) is 40 and the sum of squares due to the model (SSM) is 60.

To calculate R², follow these steps:

1. Calculate the total sum of squares (SST): SST = SSE + SSM
2. Divide SSM by SST: R² = SSM / SST

Now, let's apply the values from your question:
To calculate, we use the formula:
= SSM / SSM + SSE)

Plugging in the given values, we get:
= 60 / (60 + 40) = 0.6
SST = SSE + SSM = 40 + 60 = 100
R² = SSM / SST = 60 / 100 = 0.60

So, the coefficient of determination (R²) is 0.60, which corresponds to option (c).

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Answer:

Step-by-step explanation:

Questions:

To find:

Solutions:

First, do switch sides.

\(\Longrightarrow:\sf{3.1-12.5\left|1-0.8x\right|=5.6}\)

Multiply by 10 from both sides.

\(\Longrightarrow: \sf{3.1*10-12.5|1-0.8x|*10=5.6*10}\)

Solve.

31-125|1-0.8x|=56

Subtract by 31 from both sides.

\(\Longrightarrow: \sf{31-125\left|1-0.8x\right|-31=56-31}\)

Solve.

\(\Longrightarrow: \sf{-125\left|1-0.8x\right|=25}\)

Divide by -125 from both sides.

Solve.

\(\Longrightarrow: \sf{\dfrac{-125\left|1-0.8x\right|}{-125}=\dfrac{25}{-125}=\boxed{\sf{No\ solutions.}}}\)

I hope this helps, let me know if you have any questions.

There are no solutions.

Answer:

\(y+6≠ 4 \\ y≠ 4 - 6 \\ y≠ - 2\)

Answer:

• (a) x-10

• (b) (1-10x)/x

Explanation:

Part A

Given the function:

First, swap x and y:

Next, make y the subject of the equation:

Therefore:

Part B

Given the function:

First, swap x and y:

Next, make y the subject of the equation:

Therefore:

In a painting class, students will pick sets that show combinations of primary colors.

Primary colors are the basic colors from which all other colors can be created. In traditional color theory, the primary colors are red, blue, and yellow. When these colors are mixed together, they can produce a wide range of secondary and tertiary colors. To create a set of primary colors, students would choose combinations of red, blue, and yellow. For example, they might pick a set that includes pure red, pure blue, and pure yellow, allowing them to mix various shades and hues by combining these primary colors. By experimenting with different proportions and mixing techniques, students can create a vast array of colors using just the primary colors. Understanding the mixing of primary colors is fundamental in art, as it allows artists to achieve the desired color palette and effectively express their creative vision. By learning how primary colors interact and blend, students can develop a strong foundation in color theory and expand their artistic possibilities.

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No, the coefficients of two terms with different variables cannot be added to make one new term. The coefficients represent the numerical values in front of the variables in an algebraic expression. When two terms have different variables, it means they represent different quantities, so it is not possible to combine them into a single term.

For example, consider the terms 3x and 4y. These two terms have different variables and represent different quantities, so they cannot be added together to form a new term.

However, it is possible to combine terms that have the same variable. For example, 3x and 5x can be combined to give 8x because they have the same variable "x". In this case, the coefficients are added together to give the coefficient of the new term.

~~~Harsha~~~

Step-by-step explanation:

The cool thing about like terms is that we can combine them into a single term by adding their coefficients. For example: begin {aligned} &4x+3x\\ =& (4+3)x\\ =&7x end {aligned} = =4x + 3x (4 + 3)x 7x

For the study for investing the result of drugs in a particular diseases,

(1)This is an example of double blind experiment. So,correct option is option A

(2) The Correct option is option (C) i.e. the data can be treated as a random sample from the population of interest.

(3) The random variable X has approximately a normal distribution because of Central Limit Theorem i.e the Correct option is option (A).

Here , Spontaneous hydrostatic collapse is a disease in which teeth spontaneously turn into fluid. Jim Halpert decided to perform a study to find out if new drugs can prevent the development of this disease.

1. Since, neither researcher nor the employees were told who received which treatment, this is an example of a double-blind experiment.

2. In order to make thorough conclusions, the most important condition for statistical inference is usually that data can be treated as a random sample from the population of interest.

3. The sample mean age, X-bar of these residents has approximately a normal distribution because of the central limit theorem. Hence, we get all required answers for asking questions.

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Here's the answer in C programming language to evaluate the given polynomial:

c

Copy code

#include <stdio.h>

#include <math.h>

double evaluatePolynomial(double x) {

   double term = (x - 1.0) / x; // Calculate the first term of the polynomial

   double result = term; // Initialize the result with the first term

   int i;

   for (i = 2; i <= 4; i++) {

       term = pow(term, i) * i; // Calculate the next term

       result += term; // Add the term to the result

   }

   return result;

}

int main() {

   double x;

   printf("Enter the value of x: ");

   scanf("%lf", &x);

   double y = evaluatePolynomial(x);

   printf("Y = %lf\n", y);

   return 0;

}

In this code, the evaluatePolynomial function takes a value x as input and calculates the polynomial expression. It uses a for loop to calculate each term of the polynomial and adds it to the result. Finally, the main function prompts the user to enter the value of x, calls the evaluatePolynomial function, and prints the result Y.

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to get the slope of any straight line, all we need is two points off  of it, let's use those ones in the picture below.

\((\stackrel{x_1}{2}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{6}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{6}-\stackrel{y1}{5}}}{\underset{run} {\underset{x_2}{6}-\underset{x_1}{2}}}\implies \cfrac{1}{4}\)

Answer

Decay factor is 0.88

Step-by-step explanation:

Given the following

The initial value = $210,000

rate = 12%

The decay factor is expressed as

b = 1 - r

r = 12%

r = 0.12

Decay factor = 1 - r

Decay factor = 1 - 0.12

Decay factor = 0.88

The expression with a variables is 7x²y when x  is 3 and y is 9 is 567.

Given that,

The expression with a variables is 7x²y.

We have to find the value when x  is 3 and y is 9.

Any thing that has multiple possible values is considered a variable. What does that mean, then? A variable is anything that could possibly change. Age, for example, might be considered a variable because it might signify different things to different people or to the same person at different periods. A person's nationality can function similarly by having a value assigned to it.

By substituting in the expression we get,

7(3)²(9)

7×9×9

567

Therefore, the expression of variables 7x²y when x  is 3 and y is 9 is 567.

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Applying the distributive property the given expression is equal to 10.

The properties of multiplication are:

For evaluating the given question, you should apply the distributive property.

See that the question gives  2*(3 + 1) + 2. Thus, from the distributive property, you have:

2*(3 + 1) + 2

6+2+2

8+2 =10

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The one you picked, on the bottom left is correct

The top two both have rectangles and triangles, making them most likely triangular prisms. To the bottom right, the net represents a cube, which is incorrect, because the figure is supposed to be a rectangular prism.

Answer:

The on you picked should be correct

Step-by-step explanation:

Answer: 7/74

Step-by-step explanation:

P(G)=15/37*14/36

      = 1/37*7/2

      = 7/74

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To determine the number of lights on the string, we need to calculate the total length of the lights and divide it by the spacing between the lights.

The length of the string is given as 23 feet. Since there are 12 inches in a foot, the total length of the string in inches is:

23 feet * 12 inches/foot = 276 inches.

The first light on the string is 16 inches from the plug. Subtracting this distance from the total length of the string gives us the length of the lights:

276 inches - 16 inches = 260 inches.

The lights on the string are spaced 4 inches apart. To determine the number of lights, we divide the length of the lights by the spacing between the lights:

260 inches / 4 inches = 65.

Therefore, there are 65 lights on the string

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Answer: 16 days.

Step-by-step explanation:

I will answer this in English.

An aritmetic series works in the next way.

if the first therm is A.

Then the second therm is A + r

the third therm is A + r + r

and so on.

Where A is the initial value and r is a constant.

Here the first term is A = 1

The second term is 3, we can find the value of r as:

3 - 1 = r = 2

Then our series is:

Kₙ₊₁ = Kₙ + 2

where K₁ = 1

We know that in total he bought 225 figures, then we have the sumation:

∑Kₙ

and we want to find the value of n.

the sum of the first n terms is:

Sn = (n/2)*(K₁ + Kₙ)

where Kₙ = 1 + n*2 and K₁ = 1

so we must solve:

225 = (n/2)*(1 + 1 + n*2) = n + n^2

So we must solve the quadratic equation:

n^2 + n - 225 = 0

the solutions are:

\(n = \frac{-1 + -\sqrt{1^2 + 4*225} }{2} = \frac{-1 +-30}{2}\)

So we have two solutions:

n = 29/3 = 14-.5

n = -31/2 = -15.5

We must select the positive solution, because n can be only positive, and we should round it to the next whole number, that is 16.

So he bought figures for 16 days.

\(\qquad\qquad\huge\underline{{\sf Answer}}\)

By squaring the sum of two variables identity ~

\(\qquad \sf  \dashrightarrow \:(a + b) {}^{2} = {a}^{2} + {b}^{2} + 2ab\)

Now, plug in the given values ~

\(\qquad \sf  \dashrightarrow \:( - 6) {}^{2} = 20 + 2ab\)

\(\qquad \sf  \dashrightarrow \:36 = 2(10 + ab)\)

\(\qquad \sf  \dashrightarrow \:10 + ab = 36 \div 2\)

\(\qquad \sf  \dashrightarrow \:10 + ab = 18\)

\(\qquad \sf  \dashrightarrow \:ab = 18 - 10\)

\(\qquad \sf  \dashrightarrow \:ab = 8\)

I hope it was clear through my steps ~

Answer:

8

Step-by-step explanation:

(a+b)^2 = (-6)^2

a^2 + 2ab + b^2 = 36

a^2 + b^2 = 36 - 2ab

Equating 36 - 2ab with 20

36 - 2ab = 20

2ab = 16

ab = 8

Hope this helps out, feel free to mark this answer as brainliest :)

The parent function of a parabola is y = x².

A function is said to be a parent function if it is expressed in the simplest form and satisfies the definition of a particular type of function.

The simplest function that satisfies the definition of a parabola is given by y = x². It is also called quadratic function.

Its graph passes through the origin (0,0) and lies in first and second quadrant.

One or more parabolas can be easily obtained by transforming the parent function of the parabola.

Therefore, the parent function of parabola is given by y = x².

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Answer:

The answer is A

Step-by-step explanation:

I worked it out with all of the options A is the correct answer.

Given are three ropes: one 13 1 8 feet long, another 21 3 4 feet long, and one 35 1 2 feet long.Jen has one rope that is 13 1 8 feet long and another that is 21 3 4 feet long. Let's find the total length of the two ropes.

Jen has a total length of\(rope= $13\frac{1}{8}$ ft + $21\frac{3}{4}$ ft = $13+\frac{1}{8}+21+\frac{3}{4}$ ft = $34\frac{7}{8}$\)ftKelsey has a rope that is 35 1 2 feet long. Hence, we can compare both to find who has more rope and how much more: Jen has 34 7 8 feet of rope and Kelsey has 35 1 2 feet of rope.Thus, Kelsey has more rope and the amount of extra rope that Kelsey has is given as follows.

Amount of extra rope that Kelsey \(has= 35 $\frac{1}{2}$ ft - 34 $\frac{7}{8}$ ft= $\frac{71}{2}-\frac{63}{8}$ ft = $\frac{8\cdot 71}{2\cdot 8}-\frac{7\cdot 9}{8\cdot 7}$ ft = $\frac{568-63}{16}$ ft = $\frac{505}{16}$ ft\)Therefore, option D is correct: Kelsey has 1 5 8 feet more rope.

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Let's try solving the problem using the order of operations method, otherwise known as PEMDAS.

\(\begin{tabular}{c | l}Order of Operation & Required Operation \\\cline{1-2}1 & Parentheses () \\2 & Exponents e^{x} \\3 & Multiplication \times \\4 & Division \div \\5 & Addition + \\6 & Subtraction -\end{tabular}\)

We are given this question :

\(\mathrm {\frac{7}{4} - 9 \div .08 + \frac{4}{5} - 7 \times .8}\)

Since there are no parentheses or exponents, let's multiply.

\(\mathrm {\frac{7}{4} - 9 \div .08 + \frac{4}{5} - 5.6}\)

The next step is to divide.

\(\mathrm {\frac{7}{4} - 112.5 + \frac{4}{5} - 5.6}\)

After that, add.

\(\mathrm {\frac{7}{4} - 112.5 + 0.8 - 5.6}\)

\(\mathrm {\frac{7}{4} - 111.7 - 5.6}\)

Finally, subtract the remaining terms.

\(\mathrm {1.75 - 111.7 - 5.6}\)

\(\mathrm {-109.95 - 5.6}\)

\(\mathrm {-115.55}\)

The final answer is -115.55.

I hope this helped solve the problem.

Good luck on your studies!

Answer:

-115.55

Step-by-step explanation:

7/4 -9÷ .08 + 4/5 -7 * .8

I would change fractions to decimals

1.75 - 9 ÷ .08  +.8 -7 * .8

Now using pemdas, multiply and divide from left to right

1.75 -112.5 +.8 -7 * .8

1.75 -112.5 +.8 -5.6

Now add and subtract from left to right

-110.75+.8 -5.6

-109.95-5.6

-115.55