If the perimeter of the polygon below is 52 ft, solve for x, and identify the length of each side in the corresponding spaces below (figure not drawn to scale). Don't forget to include units in your answer!

The calculated equation for the function g(x) is g(x) = (1/2) x²

Since g(x) is a scaled version of f(x) = x², we can write:

g(x) = a f(x)

where a is a scaling factor.

Since g(x) passes through (4, 8), we can substitute x = 4 and g(x) = 8 into this equation:

8 = a f(4) = a (4²) = 16a

Solving for a, we get:

a = 8/16 = 1/2

Therefore, the equation for g(x) is: g(x) = (1/2) f(x) = (1/2) x²

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1) 3,500 rounded to the nearest ten thousand is 0.

2) 462,183.5062749 rounded to the nearest tenth is 462,183.5.

3) 6 + (-3) - 5 is equal to -2.

QUESTION 1:The given number is 3,500. To round it to the nearest ten thousand, we need to see which ten thousand is closest to the number. In this case, 3,500 is between 0 and 10,000. Since 0 is closer, we round down to 0. So, 3,500 rounded to the nearest ten thousand is 0.

QUESTION 2: To round the given number, 462,183.5062749, to the nearest tenth, we need to look at the digit in the hundredths place (the second digit after the decimal point), which is 0. Since 0 is less than 5, we round down the digit in the tenths place to 3.

Therefore, 462,183.5062749 rounded to the nearest tenth is 462,183.5.

QUESTION 3:We have to evaluate 8 to the 8th power. That means we have to multiply 8 by itself 8 times. Using a calculator, we can find that 8^8 is equal to 16,777,216.

QUESTION 4:When solving the expression 6 + (-3) - 5, we should follow the order of operations, which is: Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).

Since there are no parentheses or exponents in this expression, we can simply perform addition and subtraction from left to right.

6 + (-3) = 3, then 3 - 5 = -2.

Therefore, 6 + (-3) - 5 is equal to -2.

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Answer:

-2

Step-by-step explanation:

4x +4 +7 =3

or, 4x = 3 - 11

or, x = (-8) / 4

since,

X = -2

We can say that the system has exactly one solution for all values of m and n except the case where mn = 1.

To find the values of m and n for which the given system of equations has exactly one solution, we can use the determinant method. The system of equations is not given, so we cannot use the coefficients of the variables to form the matrix of coefficients and calculate the determinant directly. However, we can use the general form of a system of linear equations to derive the matrix of coefficients and calculate its determinant. The general form of a system of two linear equations in two variables x and y is given by:

ax + by = c

dx + ey = f

The matrix of coefficients is then:

A = [a b d e]

The determinant of this matrix is:

|A| = ae - bdIf

|A| ≠ 0, the system has exactly one solution, which can be found by using Cramer's rule.

If |A| = 0, the system has either no solution or infinitely many solutions, depending on whether the equations are consistent or not.

Now, let's apply this method to the given system of equations, which is not given. We only know that the variables are x and y, and the constants are m and n.

Therefore, the general form of the system is:

x + my = n

x + y = m + n

The matrix of coefficients is:

A = [1 m n 1]

The determinant of this matrix is:

|A| = 1(1) - m(n) = 1 - mn

To have exactly one solution, we need |A| ≠ 0. Therefore, we need:

1 - mn ≠ 0m

n ≠ 1

Thus, the system of equations has exactly one solution for all values of m and n except when mn = 1.

Therefore, we can say that the system has exactly one solution for all values of m and n except the case where mn = 1.

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Answer:

47

Step-by-step explanation:

because you know that a triangle is 180 degrees and you have the other two degrees, so all you have to do is add 90 (the little box in the corner means 90) +43=133 and subtract by 180 giving you 47 as your answer.

Answer:

Heya! ^^

let's first look at some terms that may help us understand the concept of the question better.

______________________________________

★ Angle sum property of triangle states that the sum of all the angles of a triangle equals 180°

______________________________________

now let's come over what the question says.

we've been given a right angled triangle with measure of one of its angle as 43°.

we've to calculate the measure of the third angle named " x "

therefore ,

\(by \: angle \: sum \: property \: of \: triangle \\ \\ 90\degree + 43\degree + x = 180\degree \\ \\ 133\degree + x = 180\degree \\ \\ x = 180\degree - 133\degree \\ \\ x = 47\degree\)

thus the measure of x is 47°.

hope helpful :D

Using the normal distribution, the probability that a single randomly selected value is less than 971 dollars is 0.2123.

In the given question,

CNNBC recently reported that the mean annual cost of auto insurance is 1007 dollars.

The standard deviation is 241 dollars.

We take a simple random sample of 99 auto insurance policies.

We have to find the probability that a single randomly selected value is less than 971 dollars.

From the question,

Mean = 1107 dollars

Standard Deviation = 241 dollars

So the probability that a single randomly selected value is less than 971 dollars.

Using the normal distribution

z = (x−mean)/Standard Deviation

P(x<971) = P(z<(973−1107)/241)

Simplifying

P(x<971) = P(z<(−134)/241)

P(x<971) = P(z<−0.56)

P(x<971) = 0.2123

Hence, the probability that a single randomly selected value is less than 971 dollars is 0.2123.

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The linear equation that describe the relationship between the book collection by Cameron, c and Kenji, c each month is represented as c = k - 11.

Linear equations are defined as the equations of degree one. It is represents equation for the straight line. The standard form of linear equation is written as, ax + by + c = 0, where a ≠ 0 and b ≠ 0. We have specify that Cameron collects and his friend Kenji start collecting the old books. The above table figure which contains data of books collected by both in different months. We have to determine the equation many books Cameron will have (c) when Kenji has k books. Let c and k denotes the books collected by Cameron and Kenji respectively. We see there is always increase in old book collection by one in case of both of them (Cameron and Kenji) each month. So, there exits a linear equation. Also, from the table, the Kenji's book collection is always 11 units less from Cameron's book collection. So, the required equation is written by c = k - 11 for each month. Hence, the required equation is equal to c = k - 11.

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Complete question:

The above figure complete the question.

Cameron collects old books, and they convinced their friend Kenji to start collecting as well. Every month, they go to the store together, and they each buy a book. This table shows how many books they each have: They both want an equation they can use to find how many books Cameron will have (c) when Kenji has k books. Complete their equation.

Answer:

c=k+11

Step-by-step explanation:

Answer:

32/9

Step-by-step explanation:

(4/1) (9/8)=

32/9

Answer:

yo mom

Step-by-step explanation:

Answer:

a) 21.43% (It is unusual to happen)

b) 21.43%

c) 57.14%

d) Probability of you liking both songs played = 25%

Probability of liking exactly one song = 50%

Step-by-step explanation:

a)

If you like 4 of the 8 songs, the probability of liking the first song is 4/8

Then, for the second song, we have 3 songs you like among 7 songs that can be played, so the probability is 3/7.

So the probability of you liking both songs played is:

P = (4/8) * (3/7) = 0.2143 = 21.43% (It is unusual to happen)

b)

If you like 4 of the 8 songs, you dislike 4 as well, so the probability of not liking the first song is 4/8.

Then, for the second song, we have 3 songs you dislike among 7 songs that can be played, so the probability is 3/7.

So the probability of you disliking both songs played is:

P = (4/8) * (3/7) = 0.2143 = 21.43%

c)

In this case you can like either the first or the second song, so we need to sum the probabilities of both cases:

Probability of liking the first song and disliking the second:

P1 = (4/8) * (4/7) = 0.2857

Probability of disliking the first song and liking the second:

P2 = (4/8) * (4/7) = 0.2857

P = P1 + P2 = 0.5714 = 57.14%

d)

If a song can be replayed, we have:

Probability of you liking both songs played:

P = (4/8) * (4/8) = 0.25 = 25%

Probability of liking the first song and disliking the second:

P1 = (4/8) * (4/8) = 0.25

Probability of disliking the first song and liking the second:

P2 = (4/8) * (4/8) = 0.25

P = P1 + P2 = 0.5 = 50%

Answer:

10 girls

Step-by-step explanation:

We can show our ratio as a fraction: \(\frac{2}{5}\)

Since the denominator of 5 is the total number of participants and the numberator is the # of girls in the competition, we can write another proportional ratio.

It would be: \(\frac{x}{25}\)

 \(\frac{2}{5}\)and      \(\frac{x}{25}\) would be proportional. To solve this, we can find a number that can be multiplied, by both the numerator and the denominator, which gives a value of 25 for the denominator.

This number would be 5.

If we multiply the denomitator of \(\frac{2}{5}\) by 5, we get 25, which is the value of the other fraction. Now, if we multiply the numerator by 5, we get 10, which is the number of girls in the competition.

The correct answer is C." is either rational or irrational" because it cannot be expressed as the ratio of two integers.

The product of a non-zero rational number and a non-zero irrational number is either rational or irrational, depending on the specific numbers involved.

let's assume that the non-zero rational number is a/b and the irrational number is c. If their product is rational, we can write

a/b×c=d/e

where d and e are integers with no common divisors. This means:

c = (d/b) × (e/a)

Both d/b and e/a are rational numbers, so their product is also a rational number. Therefore, expressing the irrational number c as the product of two rational numbers is a contradiction. 

For example, consider the rational number 2/3 and the irrational number √2.

Multiplying them gives:

(2/3) * √2 = (2√2)/3

It is an irrational number because it cannot be expressed as the ratio of two integers. Therefore answer (C) is either rational or irrational.

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Step-by-step explanation:

Answer above

if you have any doubts ask in comments

Answer:

sorry didi I am study in 6 so I didn't understand

sorry

The system equation that models the amount of calories from fats (f) and proteins (p) that the individual can consume to reach 1,800 calories is: f + p = 1,200. The equation that relates calories from protein (p) to calories from fat (f) based on the prescribed diet is: p = 3f. Solving the system of equations, we find that the individual should consume 300 calories from fats and 900 calories from proteins.

To find the equation that models the amount of calories from fats and proteins that the individual can consume in order to reach 1,800 calories, we consider that 600 calories will come from carbohydrates. Since the total goal is 1,800 calories, the remaining calories from fats and proteins should add up to 1,800 - 600 = 1,200 calories. Therefore, the equation is f + p = 1,200.

Based on the prescribed diet, the individual is required to consume calories from protein that are three times the calories from fat. This relationship can be expressed as p = 3f, where p represents the calories from protein and f represents the calories from fat.

To solve the system of equations, we substitute the value of p from the second equation into the first equation: f + 3f = 1,200. Combining like terms, we get 4f = 1,200, and dividing both sides by 4 yields f = 300. Substituting this value back into the second equation, we find p = 3(300) = 900.

Therefore, the individual should consume 300 calories from fats and 900 calories from proteins to meet the diet requirements and achieve a total of 1,800 calories.

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Answer:

the constabt or proportinaity is 2 because

2/1=2

4/2=2

8/4=2

10/5=2

Step-by-step explanation:

Suppose a system of equations has 3 equations and 5 variables. additionally, suppose the coefficient matrix for the system has 3 pivot columns. Based on the information provided, it is consistent.

The number of pivot columns in the coefficient matrix of a system of equations determines the rank of the matrix, which is a measure of the number of linearly independent rows or columns. A system of equations is consistent if and only if the rank of the coefficient matrix is equal to the number of unknowns in the system.

In this case, the system has 3 equations and 5 variables, so it is not immediately clear if the rank of the coefficient matrix is equal to the number of unknowns. Additionally, the number of pivot columns alone is not enough to determine the consistency of the system, as there may be additional relationships between the variables that affect the rank.

So,  Based on the information provided, it is consistent.

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Function is a set of ordered pairs where there cannot be same x-values or repetitive domain in a set.

For example below below:

The following relation is a function since there are no same x-values in a set.

The following relation is not a function since there are same two x-values which is D = {1} or (1,1) and (1,2) both have same domain. Thus, not making the relation a function.

From the question, the relation is a function because in a set of ordered pairs, there aren't any same x-values.

Answer

Answer:

I'm gonna say false

GDP or Gross Domestic Profit is the money that is being spent/made inside the country. So it stands to reason that if people are spending more, the GDP would go up.

Hope this helps!

Answer:

c) -4a + 22b

Step-by-step explanation:

hope this helps :)

The chance that the hospital will run out of sleeping pills on any given day is 0.5000 (or 0.5000 with four decimal places).

To calculate the chance that the hospital will run out of sleeping pills on any given day, we can use the normal distribution and Z-score.

First, let's calculate the Z-score using the formula:

Z = (X - μ) / σ

Where:

X = consumption rate per day (1,155 pills)

μ = average consumption rate per day (1,155 pills)

σ = standard deviation (81 pills)

Z = (1,155 - 1,155) / 81

Z = 0

Now, we need to find the probability associated with this Z-score. However, since the demand for sleeping pills can be considered continuous and not discrete, we need to calculate the area under the curve from negative infinity up to the Z-score. This represents the probability of not running out of sleeping pills.

We discover that the region to the left of a Z-score of 0 is 0.5000 using a basic normal distribution table or statistical software.

To find the probability of running out of sleeping pills, we subtract this probability from 1:

Probability of running out of sleeping pills = 1 - 0.5000

Probability of running out of sleeping pills = 0.5000

Therefore, on any given day, the hospital has a 0.5000 (or 0.5000 with four decimal places) chance of running out of sleeping tablets.

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Answer:

26.44%

Step-by-step explanation:

The change in temperature is:

1535 - 1214 = 321

This change represents a percent increase:

321/1214*100% = 26.44% (rounded)

Angle R is approximately 38.66 degrees

A triangle is a 2-D figure with three sides and three angles.

The sum of the angles is 180 degrees.

We can have an obtuse triangle, an acute triangle, or a right triangle.

We have,

We can use trigonometric ratios to find angle R.

Since angle S is 90 degrees, we know that triangle RST is a right triangle.

Let's use the tangent ratio, which is defined as the opposite side over the adjacent side:

tan(R) = opposite / adjacent

We can label the sides of the triangle as follows:

R is the angle opposite side RT

S is the right angle, so it doesn't have a side opposite

T is the angle opposite side ST

Using the Pythagorean theorem, we can find the length of side RS:

RS² = RT² + ST²

RS² = 40² + 30²

RS² = 1600 + 900

RS² = 2500

RS = 50

Now we can use the tangent ratio:

tan(R) = opposite / adjacent

tan(R) = RT / RS

tan(R) = 40 / 50

tan(R) = 0.8

To find the angle R, we need to take the inverse tangent (also called arctangent or \(tan^{-1}\) of 0.8:

\(R = tan^{-1}0.8\)

R ≈ 38.66 degrees

Therefore,

Angle R is approximately 38.66 degrees

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The integral ∫∫R5(x+y)ex2−y2dA, where R is the rectangle enclosed by the lines x−y=0,x−y=3,x+y=0, and x+y=4, can be evaluated by making the change of variables u = x + y and v = x - y, which gives us the Jacobian of the transformation as |J| = 1/2.

To evaluate the integral using the change of variables, we first need to find the bounds of integration for the new variables u and v. Using the equations of the lines that bound the rectangle R, we can rewrite them in terms of u and v as v = ±(3 - u) and v = ±u. These equations represent the four lines that form the new rectangle R' in the uv-plane.

The integral can now be rewritten as ∫∫R'5(u/2)eu2/2dvdu. The limits of integration for v are from -(3 - u) to (3 - u) for the bottom and top sides of the rectangle R', and from -u to u for the left and right sides. The limits of integration for u are from 0 to 4.

After integrating with respect to v, we get ∫(3-u)^u(-3+u)5(u/2)eu2/2dvdu + ∫u^-u^3 5(u/2)eu2/2dvdu. These integrals can be solved by using the substitution method. Finally, we get the answer as 17(e^16 - e^(4/3))/12.

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4, 9, 16, 25, 36, 49, 64, 81, 100, 121

a negative times a negative is a positive and squaring those numbers would be multiplying a negative by itself.

For example (-2)*(-2) is 4

**note, this only applies if the negative value is in the parentheses. (-2)^2 is different than -2^2 because with -2^2 only the 2 is getting squared and then you’d have to multiply the negative after**

x                                         x3

-2                     -2^3 = -2 • -2 • -2 = -8

-3                     -3^3 = -3 • -3 • -3 = -27

-4                     -4^3 = -4 • -4 • -4 = -64

-5                     -5^3 = -5 • -5 • -5 = -125

-6                     -6^3 = -6 • -6 • -6 = -216

-7                     -7^3 = -7 • -7 • -7 = -343

-8                     -8^3 = -8 • -8 • -8 = -512

-9                     -9^3 = -9 • -9 • -9 = -729

-10                   -10^3 = -10 • -10 • -10 = -1,000

-11                     -11^3 = -11 • -11 • -11 = -1,331

Answer Straight From Edmentum/Brainly Hope it helps! :)

Answer: Both of these events are more likely.

Step-by-step explanation:

Since we have given that

Probability that she is getting injured playing volleyball = 0.1

Probability that she is getting injured playing soccer is given by

Since we need to compare both the probabilities so, for this we first need to change the second probability in decimal form.

So,

since both the events have same probability.

Hence, Both of these events are more likely.Step-by-step explanation:

The equations x - 57 and x + 57 can be used to find the positions of the two winners of the new car, where x represents the Position of the 153rd person in line.

Based on the given information, we can determine the equations to find the two winners of the new car.

The position of the 153rd person in line as x. Since the people who are 57 places before and after the 153rd person win the new car, we can write the following equations:

1. For the person 57 places before the 153rd person: x - 57

This equation represents the position of the person who is 57 places before the 153rd person in line.

2. For the person 57 places after the 153rd person: x + 57

This equation represents the position of the person who is 57 places after the 153rd person in line.

By substituting the value of x (the position of the 153rd person) into these equations, we can find the positions of the two winners in line.

For example, if the 153rd person is in the 200th position in line (x = 200), we can determine the winners as follows:

1. For the person 57 places before the 153rd person: 200 - 57 = 143

The person in the 143rd position is the winner of the new car.

2. For the person 57 places after the 153rd person: 200 + 57 = 257

The person in the 257th position is the second winner of the new car.

Thus, the equations x - 57 and x + 57 can be used to find the positions of the two winners of the new car, where x represents the position of the 153rd person in line.

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Answer:

0.85*40=34

Step-by-step explanation:

the student answered 34 questions correctly out of 40. hope that helped

Answer:

4.5 inches per week

Step-by-step explanation:

Easy conversions

The annual payment = $1490.29

The loan is the Present Value (PV)

PV = $10000

The annual rate, r = 8%

r = 8/100

r = 0.08

The number of payments, n = 10

The Present Value of annunity is given by the formula:

Substitute PV = 10000, r = 0.08, and n = 10 into the formula above to solve for P

The annual payment = $1490.29