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Polygon FLAME has coordinates (−6,2), (−3,4), (5,1), (1, −4), and (−2, −5). What is the perimeter of Polygon FLAME? Approximate all calculated values to the tenths place.

Expression is a constant, variable or constant multiplied by a variable separated by operator.

Identity, as we all know, is equality, which holds true regardless of the variable's value. These identities are algebraic formulas that show that for all possible values of the variable, the Left-Hand Side (LHS) and the Right-Hand Side (RHS) of the equation are equal. A phrase that can have any value is called a variable.

Monomial, polynomial and binomial are the three types of algebraic expression.

An expression with variables, constants, and algebraic operations is known as an algebraic expression (like subtraction, addition, multiplication, etc.). Terms comprise expressions. For instance: 5x+20y, 6-8x.

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The coordinates of point P along the directed line segment AB is (8, 10).

The coordinates of point P along the directed line segment AB so that AP to PB is the given ratio 1: 4 is calculated as follows;

We will use the following formula;

P(x, y) = ((mx₂) + (nx₁))/(m + n), ((my₂) + (ny₁))/(m + n)

Where;

The coordinates of point P along the directed line segment AB is;

Px = ( 1 x 16   +  4x6 ) / (1 + 4) = 8

Py = ( 1 x 14  +  4 x 9) / (1 + 4) = 10

(Px, Py) = (8, 10)

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Answer:

8.5g

Step-by-step explanation:

Answer:

as a decimal it is 0.4 as a fraction it is 2/5

Hi! I believe your answer is 40. I hope this helps you! Good luck and have a great day/night. ❤️✨

The phonetic property or features that distinguishes the set of sounds in set A from those in set B is Voicing.

Voicing is the phonetic property or feature that distinguishes the set of sounds in set A from those in set B.

Voicing is the difference between sounds that are produced either with vibration of the vocal folds, which is voiced, or without such a vibration, which is voiceless.

Voicing is a crucial feature in distinguishing the two sets of sounds.

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Answer:

8 cups

Step-by-step explanation:

first it was 4 gallons and 3 cups x2=8 gallons 6 cups then just go to 10 gallons 8 cups

The ratio of the mass of Earth to the mass of Jupiter is equal to 3.14*10⁻³, thus option B is correct.

An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. For instance, you could express the ratio as follows: 1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls)

Given, the mass of Earth = 5.97*10²⁴ kg

Also, mass of Jupiter = 1.90*10²⁷ kg

Hence, ratio of mass of Earth to Jupiter is calculated by dividing mass of Earth upon the mass of Jupiter.

Ratio = (5.97*10²⁴/1.90*10²⁷ )

= 3.14*10²⁴⁻²⁷

= 3.14*10⁻³

Thus, the ratio of the mass of Earth to the mass of Jupiter is equal to 3.14*10⁻³, thus option B is correct.

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The height of the cylinder is 4 feet.

The volume of a cylinder can be found as follows;

volume of a cylinder = base area × height

Therefore,

base area = πr²

volume of the cylinder = 48π ft³

base area = 12π ft²

Therefore, let's find the height of the cylinder as follows:

48π = 12π × h

divide both sides of the equation by 12π

h = 48π / 12π

h = 4 ft

Therefore,

height of the cylinder  = 4 feet

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Answer:

105 hours

Step-by-step explanation:

→ Find how many days in a week

7

→ Multiply this by his gaming time

7 × 15 = 105

Answer:

He plays 105 hours a week.

Step-by-step explanation:

The brother plays 15 hours a week.

Week = 7 Days

15 x 7 = 105

Hope you enjoyed this simple answer! :)

                                      sneaky if u found it >:)

The equation for the circle with a diameter whose endpoints are (2, -5) and (-3, 1) is (x - 1)^2 + (y - 1)^2 = 13.

The endpoints are (2, -5) and (-3,1).

The standard form equation for a circle is known as

\((x-a)^2+(y-b)^2=r^2\)

where (a, b) are the center's coordinates and (r) is the radius.

Taking into account the stated endpoints of the diameter. The center will then be at the midpoint, and the radius will be the distance between the center and either of the two endpoints.

Calculating the midpoint is as follows:

\(\left(\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2}\right)\)

where, \((x_{1},y_{1})\) and \((x_{2},y_{2})\) are two points.

Now putting the values

\(\left(\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2}\right)=\left(\frac{-2+4}{2}, \frac{3-1}{2}\right)\)

\(\left(\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2}\right)=\left(\frac{2}{2}, \frac{2}{2}\right)\)

\(\left(\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2}\right)=\left(2, 1)\)

Now we determine the equation of circle.

The center (2, 1) and the terminal are the two points (-2, 3).

r = \(\sqrt{(-2-1)^2+(3-1)^2}\)

r =\(\sqrt{(-3)^2+(2)^2}\)

r = \(\sqrt{9+4}\)

r = √13

Now we can write the equation of circle as:

(x - 1)^2 + (y - 1)^2 = (√13)^2

(x - 1)^2 + (y - 1)^2 = 13

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The complete question is:

Find the equation for the circle with a diameter whose endpoints are (2, -5) and (-3, 1).

Write the standard equation for the circle.

Step-by-step explanation:

\(12 {x}^{2} + 9 = - 6x\)

\(12 {x}^{2} + 6x + 9\)

Find the discrimant of the function.

\({b {}^{2} - 4ac } \)

\( {6}^{2} - 4(12)(9)\)

\(36 - 432 = - 396\)

Since -396 is less than 0, there is no real roots. There is only complex roots.

Answer:

5 15 means multiple

Step-by-step explanation:

=5×15÷8

=75÷8

=9.375

Answer:

2, 6, 8

6, 12, 18

2:6, 6:12, 8:18

Answer:

330 miles

Step-by-step explanation:

198/3 = 66; this shows how fast the car is going per hour

66 * 5 = 330; this is how far the car goes in 5 hours

Answer:

$18 :)

Step-by-step explanation:

10% of 180 is 18

Answer:

\(g^-1(g(13)) = 13\)

Step-by-step explanation:

Step 1: Solve g(13)

g(13) = 3(13) - 4

g(13) = 35

Step 2: Solve \(g^-1(35)\)

g^-1(35) = 35 = 3x - 4

39 = 3x

x = 13

Answer:

b. 12π

Step-by-step explanation:

C= 2πr

R= D/2= 12/2= 6

C= 2x3.14x6

2x6= 12

C= 12π

Given :-

Then,

Using Formula

★Circumference of circle = 2πr

Keep Value

==> Circumference of circle = 2π × 6

==> Circumference of circle = 12π

The upper bound of the 95% confidence interval for the average age in the U.S. is 48.29 years.

To determine the upper bound of the 95% confidence interval for the average age in the U.S., we can use the sample data from the survey. The sample size is 1072 people, randomly selected from the U.S. population, with a minimum age of 12. By calculating the average age of the respondents, we can estimate the average age of the entire U.S. population.

Using the given information that the average age of the respondents is 43.56 years, and assuming that the sample is representative of the population, we can calculate the standard error. The standard error measures the variability of the sample mean and indicates how much the sample mean might deviate from the population mean.

Using statistical methods, we can calculate the standard error and construct a confidence interval around the sample mean. The upper bound of the 95% confidence interval represents the highest plausible value for the population average age based on the sample data.

Therefore, based on the provided information and calculations, the upper bound of the 95% confidence interval for the average age in the U.S. is 48.29 years.

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In parametric models, "two-way association" refers to the relationship between two variables where each variable has an influence on the other. It implies that changes in one variable affect the other, and vice versa.

In parametric models, two-way association is characterized by a mutual dependency between the variables. This means that the values of both variables are determined by each other rather than being independent. The association can be described in terms of a mathematical equation or model that represents the relationship between the variables.

For example, in a regression model, if we have two variables X and Y, a two-way association implies that changes in X will cause corresponding changes in Y, and changes in Y will cause corresponding changes in X. This indicates a bidirectional relationship where both variables influence each other. Two-way associations are important in understanding and analyzing complex systems and can provide insights into causal relationships and interactions between variables.

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The type of hypothesis test to be used in this scenario is a one-sample t-test with a two-tailed alternative hypothesis.

The problem is asking to conduct a hypothesis test to determine whether the bag filling machine works correctly at the 433 gram setting.

The hypothesis test would involve a null hypothesis (H0) and an alternative hypothesis (Ha).

The null hypothesis is typically the hypothesis of "no effect" or "no difference" and is denoted as H0. In this case, the null hypothesis would be that the mean weight of potato chips in the bags filled by the machine at the 433 gram setting is equal to 433 grams. Therefore, the null hypothesis would be:

H0: μ = 433

The alternative hypothesis (Ha) is the hypothesis that we want to test, and it is denoted as Ha. In this case, the alternative hypothesis would be that the mean weight of potato chips in the bags filled by the machine at the 433 gram setting is not equal to 433 grams. Therefore, the alternative hypothesis would be:

Ha: μ ≠ 433

To conduct the hypothesis test, we would need to calculate the test statistic and compare it to the critical value. Since the sample size is large (n=301) and the population variance is unknown, we would use a t-test with a level of significance of 0.02.

If the calculated t-value falls outside the critical t-value, we would reject the null hypothesis and conclude that the bag filling machine does not work correctly at the 433 gram setting.

If the calculated t-value falls within the critical t-value, we would fail to reject the null hypothesis and conclude that there is not enough evidence to suggest that the bag filling machine does not work correctly at the 433 gram setting.

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A linear function model to show the distance traveled by the car is

d = 111t

A linear function consists of functions where the variables has exponents of 1.

The graph of linear functions is a straight line graph and the relationship is expressed in the form.

y = mx + c

definition of variable to suit the problem

y = output variable, distance, d

m = slope, speed in ft/s

x = input variable, time

c = y intercept, distance at t = 0

The equation as described in the problem is represented using linear function as as follows

speed of car = distance / time

= 666 / 6

= 111 ft/s (this is equivalent to the slope)

at t = 0 distance = 0 hence c = 0

distance, d in feet = 111t, in seconds

d = 111t

the linear model is d = 111t

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According to the distributive property of algebraic expressions, each term in an expression's sum or difference must be multiplied by a number outside of the parenthesis. A number is used as the value outside of the parenthesis, with the total or difference.

By employing the distributive property of multiplication in step 2, we can reduce the expression by multiplying 5 by both 3 and y. So, our total is \(9 + 15 + 5y\) .

In step 3, we use the commutative characteristic of addition to reorder the terms in the phrase. We now have  \(15 + 9 + 5y,\) which equals \(24 + 5y\) .

Step 4 involves applying the commutative property of addition to rearrange the equation's terms once more. This leads to the final simplified formulation, which is \(5y + 24\) .

Therefore, The justification offered in step 1 is provided expression because it is the first expression provided and doesn't need to be further explained.

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The probability that the randomly selected sample will have less than 97.5% of the units that can hold at least 400 lbs of weight before breaking is 2.4249.

What is the binomial distribution?

In probability theory and statistics, the discrete probability distribution of the number of successes in a series of n separate experiments, each asking a yes-or-no question and each with its own Boolean-valued outcome: success or failure, is known as the binomial distribution with parameters n and p.

Here, we have

Given: For one product, 98% of all the units made at a particular factory can hold at least 400 lbs. of weight before breaking to check the product, quality control selects a random sample of 300 units made at the factory and determines whether or not the product can hold at least 400 lbs.

p = 0.98

q = 1 - p = 1 - 0.98 = 0.02

n = 300

Using the binomial distribution,

Standard deviation = σ = √npq = √300 × 0.98 × 0.02 = 2.4249

Standard deviation = σ = 2.4249

Hence, the probability that the randomly selected sample will have less than 97.5% of the units that can hold at least 400 lbs of weight before breaking is 2.4249.

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Answer:

SA = 94 ft²

Step-by-step explanation:

To find the surface area of a rectangular prism, you can use the equation:

SA = 2 ( wl + hl + hw )

SA = surface area of rectangular prism

l = length

w = width

h = height

In the image, we are given the following information:

l = 4

w = 5

h = 3

Now, let's plug in the information given to us to solve for surface area:

SA = 2 ( wl + hl + hw)

SA = 2 ( 5(4) + 3(4) + 3(5) )

SA = 2 ( 20 + 12 + 15 )

SA = 2 ( 47 )

SA = 94 ft²

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Answer:

7y

Step-by-step explanation:

use distributive property:

4x+12y=6x-2y

2x=14y

x=7y