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The total number of sides of a regular polygon with each exterior angle of measure 30 degrees is equal to 12.

Let us consider 'n' be the number of sides of the regular polygon.

Let 'y' be the measure of each of the exterior angle of regular polygon.

y = 30 degrees

Measure of each of the exterior angle of regular polygon 'y'

= ( 360° ) / n

⇒ n = ( 360° / y )

Substitute the value we get,

⇒ n = ( 360° / 30° )

⇒ n = 12

Therefore, the number of sides of a regular polygon with each of the exterior angle 30 degrees is equal to 12.

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The above question is incomplete, the complete question is:

How many sides does a regular polygon have when each exterior angle measures 30 degrees?

Answer:

$5.24

Step-by-step explanation:

if the samples are all the same size, then each sample contains 13 individuals. The answer is (a) 9 is incorrect, (b) it is possible for the samples to be the same size if df is 32, (c) 11 is incorrect, and (d) 10 is incorrect.

The total degrees of freedom (dftotal) for an analysis of variance with three treatment conditions can be expressed as dftotal = dfbetween + dfwithin, where dfbetween is the degrees of freedom associated with the differences between the treatment means and dfwithin is the degrees of freedom associated with the variability within each treatment condition.

If the three treatment conditions have the same sample size, then dfwithin is equal to the total sample size minus the number of treatment conditions. Let's call the sample size n. Then we have:

dftotal = dfbetween + dfwithin

32 = (3-1) + 3(n-3)

32 = 2 + 3n - 9

39 = 3n

n = 13

Therefore, if the samples are all the same size, then each sample contains 13 individuals. The answer is (a) 9 is incorrect, (b) it is possible for the samples to be the same size if df is 32, (c) 11 is incorrect, and (d) 10 is incorrect.

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The z-score of a person who scored 160 on the exam is 1.

The standard deviation of a person's score from the mean in a population with a normally distributed distribution is expressed as a z-score.

To find the z-score of a person who scored 160 on the exam, we can use the formula:

z = (x - μ) / σ

where x is the score of the person, μ is the mean of the distribution, and σ is the standard deviation of the distribution.

Plugging in the values, we get:

z = (160 - 150) / 10

z = 1

Therefore, the z-score of a person who scored 160 on the exam is 1.

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well, for the piece-wise function, we know that hmmm x = -1, -1 is less 1, so the subfunction that'd apply to that will be -2x + 1, because on that section "x is less than or equals to 1".

so f(-1) => -2(-1) + 1 => 3.

Answer:3

Step-by-step explanation:

In this case x=-1 so you will use the top equation because x<1

so f(-1) = -2(-1) + 1

          = 2+1

           =3

9514 1404 393

Answer:

  4 pizzas

Step-by-step explanation:

If 12/36 = 1/3 as many players show up, we expect the coach will order 1/3 as many pizzas:

  1/3 × 12 pizzas = 4 pizzas

The true statements are:

The lines are given as:

Lines mn, pq, mp, mn, nq and pq

From the question, the lines are either parallel lines or perpendicular lines

As a general rule,

Parallel lines have equal slope

This means that:

Lines mn and pq have the same slope

Assume two perpendicular lines have slopes m and n.

The relationship between their slopes is:

m * n = -1

This means that:

The product of the slopes of perpendicular lines mn and mp is -1

Hence, the true statements are (a) and (c)

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Complete question

Line mn is parallel to line pq, mp is perpendicular to mn, and nq is perpendicular to pq. consider each statement and determine whether it is true or false. circle the correct answer.

Pptions:

Answer:

x=4

y=1.8

Step-by-step explanation:

x 4

15×4+18=78

11×4+34=78

90-78=12

12-3=9

9÷5=1.8

The inequality is 3,080 + w <= 4500. and we have explained the possible weights of the fourth horse.

What is inequality?

Inequality is a mathematical statement that compares two values or expressions and shows the relationship between them. It is used to express that one value is either greater than, less than, greater than or equal to, or less than or equal to another value. Inequalities can be represented using symbols such as < (less than), > (greater than), ≤ (less than or equal to), ≥ (greater than or equal to), ≠ (not equal to).

We know that Mr. Thornton has already loaded three horses into his trailer with the following weights: 890 pounds, 1250 pounds, and 940 pounds. To load a fourth horse, we need to know the total weight of the trailer and the horses.

Total weight of the trailer = 890 + 1250 + 940 = 3,080 pounds

The trailer can support no more than 4500 pounds, so we need to make sure that the total weight of the trailer and the fourth horse does not exceed 4500 pounds.

Therefore, we can write the inequality:

3,080 + w <= 4500

This inequality tells us that the total weight of the trailer and the fourth horse (3,080 + w) must be less than or equal to 4500 pounds.

To graph the solutions of this inequality on a number line, we can start by plotting point 4500 on the number line. Since the inequality contains the "less than or equal to" sign, we need to shade everything to the left of 4500, including 4500.

The solutions to this inequality are all possible weights of the fourth horse that would not cause the total weight of the trailer and the horses to exceed 4500 pounds. The solutions are all real numbers between 0 and 420.

It's worth mentioning that the solution set is an interval [0,420] and it includes 0, but not 420. It means that the horse can weight 0 pounds (which is not possible) but it can't weight 420 pounds since it would exceed the maximum weight that the trailer can support.

Hence, the inequality is 3,080 + w <= 4500. and we have explained the possible weights of the fourth horse.

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Answer:

      Step-by-step explanation:

5a = 240.96

5b = 20.08

In this scenario, we are considering an investment that will pay $3,000 in 34 years. We are given an appropriate discount rate of 8 percent. To determine the present value of this investment, we can use the present value formula. Additionally, we are provided with the information that the investment is being sold for $773, and we need to calculate the rate of return investors will earn on this investment.

a. Present value of the investment:

To calculate the present value of the investment, we use the present value formula:

Present Value = Future Value / (1 + Discount Rate)^n,

where Future Value is $3,000, the Discount Rate is 8 percent (0.08), and n is the number of years, which is 34 in this case.

Present Value = $3,000 / (1 + 0.08)^34 = $219.13

Therefore, the present value of the investment, considering an 8 percent discount rate, is $219.13.

b. Rate of return on the investment:

The rate of return on an investment is calculated using the formula:

Rate of Return = (Future Value - Purchase Price) / Purchase Price * 100,

where Future Value is $3,000 and the Purchase Price is $773.

Rate of Return = ($3,000 - $773) / $773 * 100 ≈ 288.46%

Therefore, the rate of return investors can earn on this investment, if they buy it for $773, is approximately 288.46%.

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The function's formula for the ice sheet's thickness is S(t) = 0.2t + 1.02.

Mathematically, a linear function is sometimes referred to as an expression or the slope-intercept form of a straight line and it can be modeled (represented) by this mathematical expression;

S(t) = mt + b

Where:

After a time of 7 weeks and a rate of decrease of 0.2, the y-intercept or initial amount of ice can be calculated as follows;

S(t) = mt + b

2.42 = 0.2(7) + b

2.42 = 1.4 + b

y-intercept, b = 2.42 - 1.4

y-intercept, b = 1.02.

Therefore, the required linear function is given by S(t) = 0.2t + 1.02.

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Complete Question:

A lake near the Arctic Circle is covered by a thick sheet of ice during the cold winter months. When spring arrives, the warm air gradually melts the ice, causing its thickness to decrease at a rate of 0.2 meters per week. After 7 weeks, the sheet is only 2.42 meters thick.

Let S(t), denote the ice sheet's thickness S (measured in meters) as a function of time t (measured in weeks).

Write the function's formula.

S(t) = ?

Answer: your answer is 2:6 or 1:3 simplified

The ratio to represent the relationship between hallies donation of jean and Mattie's donation of jeans is 2:6

2:6 simplified is 1:3

Step-by-step explanation: Hope this helps!! :)))

Answer:

See below for proof.

Step-by-step explanation:

Given:

\(\log_ab \times \log_ba=1\)

To prove the given equation, begin by changing the base of the two logs so that they have the same base.

\(\boxed{\textsf{Change of base}: \quad \log_pr=\dfrac{\log_xr}{\log_xp}}\)

Change the base of both logs to x by using the change of base formula:

\(\implies \log_ab=\dfrac{\log_xb}{\log_xa}\)

\(\implies \log_ba=\dfrac{\log_xa}{\log_xb}\)

Substitute into the equation:

\(\implies \log_ab \times \log_ba=\dfrac{\log_xb}{\log_xa} \times \dfrac{\log_xa}{\log_xb}\)

\(\textsf{Apply the fraction rule} \quad \dfrac{a}{c}\times \dfrac{b}{d}=\dfrac{a \times b}{c \times d}:\)

\(\implies \dfrac{\log_xb \times \log_xa}{\log_xa \times \log_xb}\)

Apply the commutative property of multiplication to the numerator:

\(\implies \dfrac{\log_xa \times \log_xb}{\log_xa \times \log_xb}\)

Cancel the common factor logₓb:

\(\implies \dfrac{\log_xa}{\log_xa}\)

\(\textsf{Apply the fraction rule} \quad \dfrac{n}{n}=1:\)

\(\implies \dfrac{\log_xa}{\log_xa}=1\)

Hence proving that:

In one calculation:

\(\begin{aligned}\implies \log_ab \times \log_ba & =\dfrac{\log_xb}{\log_xa} \times \dfrac{\log_xa}{\log_xb}\\\\&=\dfrac{\log_xb \times \log_xa}{\log_xa \times \log_xb}\\\\&=\dfrac{\log_xa \times \log_xb}{\log_xa \times \log_xb}\\\\&=\dfrac{\log_xa}{\log_xa}\\\\&=1\end{aligned}\)

Answer:46

Step-by-step explanation:

C! Just got the question and turned in the test, it’s C!!

Step-by-step explanation:

Since the number of days for classes is 20 and the total days in November is 30

% = Number of days for classes

_____________________ *100

Total days in November

% = 20/30 *100

% = 66.7%(approximately)

The probability of selecting a red or a blue tile from one of the bags is 1. This can be calculated by adding the probability of selecting a red tile (6/10) and the probability of selecting a blue tile (4/10) together. The equation for this is P(Red or Blue) = P(Red) + P(Blue), which simplifies to 10/10, or 1.

The probability of selecting either a red or blue tile from one of the bags can be calculated using the following equation:

P(Red or Blue) = P(Red) + P(Blue)

where P(Red) is the probability of selecting a red tile and P(Blue) is the probability of selecting a blue tile.

In this case, P(Red) = 4/10 and P(Blue) = 6/10. Therefore, the probability of selecting either a red or blue tile from one of the bags is:

probability of selecting

P(Red or Blue) = 4/10 + 6/10

P(Red or Blue) = 10/10

P(Red or Blue) = 1

This means that there is a 100% chance of selecting either a red or blue tile from one of the bags.

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Answer: An upward shift of 4 units.

Step-by-step explanation:

The transformation of the function F(x) = 3x to F(x) = 3x + 4  indicates a vertical translation or shift of the graph of f(x) upward by 4 units.

More specifically, the original function f(x) = 3x has a y-intercept at (0,0) and a slope of 3, meaning that for every 1 unit of increase in x, there is a corresponding increase of 3 units in y. Adding 4 to the function shifts all the y-values up by 4 units, so the new function f(x) = 3x + 4 has a y-intercept at (0,4) and a slope of 3, which means that for every 1 unit of increase in x, there is a corresponding increase of 3 units in y, starting from the new y-intercept at (0,4).

There is a taxi driver Aiden and he uses M(n) model to determine the money he earned from each drive. As n stands for the drive number, the statement  M(8)<M(4) means that Aiden's fee for the  \(8^t^h\) drive is less than for his \(4^t^h\)  drive.

We know that Aiden is a taxi driver and he uses his M(n) model to find the amount he earned from each drive. In his M(n) model n signifies the drive number.

Given that M(8)<M(4):

In the above statement, M(8) stands for the \(8^t^h\) drive of Aiden, and M(4) stands for the \(4^t^h\) drive of Aiden.

By using his M(n) model, we can conclude the statement  M(8)<M(4) that Aiden earned more money for his \(4^t^h\) drive than he earned for his \(8^t^h\) drive.

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The complete question is:

Aiden is a taxi driver.

M(n) models Aiden's fee (in dollars) for his \(n^t^h\)drive on a certain day.

What does the statement M(8)<M(4), mean?

Answer:

-20

Step-by-step explanation:

-10x - 5 = 195

Combine like terms:

-10x = 200

Divide by -10 on both sides:

x = -20

Answer:

4.5 meters = 450 cm

450 / 25 cm = 18cm

This means every centimeter on the plan equals 18 centimeters in actuality.

Step-by-step explanation:

Answer:

( -4, -3 )

Step-by-step explanation:

Let's solve by elimination. Reason being there are no variables without coefficients.

−5y+3x=3     Multiply equation by 3. Each term.  

−8y+9x=−12

-15y + 9x = 9       Subtract the to equations

-8y  + 9x = -12

___________

-7y = 21

y = -3

Substitute y into original equation

-5(-3) + 3x = 3

15 + 3x = 3            Subtract 15 both sides

3x = -12                 Divide by 3, both sides

x = -4

Answer:

y=-3

x=-4

Check:

-5(-3)+3(-4) =3

15-12=3

3=3 ✅

-8(-3)+9(-4)=-12

24-36=-12

-12=-12✅

Answer:

what is your question.

Step-by-step explanation:

The steps to algebraically solve a system of linear and quadratic equations involve solving each equation for y, solving for x, setting the two equations equal to each other, and inserting the x value back into one of the equations to find the corresponding y value.

1. To algebraically solve a system of linear and quadratic equations, the following steps can be used: 1) Solve each equation for y. 2) Solve for x. 3) Set the two equations equal to each other. 4) Insert the value of x back into one of the equations to find the corresponding y value.

2. To begin solving a system of linear and quadratic equations, it is often helpful to isolate the variable y in both equations. This involves rearranging the equations so that y is on one side and all other terms are on the other side. Once both equations are solved for y, we can move on to the next step.

3. The next step is to solve for x. With the equations in terms of y, we can substitute one equation into the other, setting them equal to each other. This allows us to eliminate the variable y and solve for x. By solving the resulting equation, we obtain the value of x.

4. After finding the value of x, we can proceed to the final step. We substitute this x value back into one of the original equations to determine the corresponding y value. This completes the process of solving the system of equations, providing us with the solution in terms of x and y.

5. In summary, the steps to algebraically solve a system of linear and quadratic equations involve solving each equation for y, solving for x, setting the two equations equal to each other, and inserting the x value back into one of the equations to find the corresponding y value. These steps help in finding the values of x and y that satisfy both equations simultaneously, giving the solution to the system of equations.

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Answer:

᪥༄᪥༄᪥༄᪥༄᪥༄᪥༄

hope it helps...

have a great day!!

Answer:

35

Step-by-step explanation:

Answer:

y = 35°

Step-by-step explanation:

if the lines are parallel, the alternate interior angles theorem applies ("if a transversal intersects two parallel lines then alternate interior angles are congruent"). so since we know that the lines are parallel, the alternate interiors are congruent so 70=2y. from there, divide both sides by 2 to isolate y (division property of equality) and y=35.

Answer:

-16

Step-by-step explanation:

m^2 + n^2

-5^2 + 3^2 = -16

Hence, there are three values of r for which the given differential equation has solutions of the form y = e^{rt}.

Given differential equation is y''' + 8y'' + 15y' = 0.Therefore, the solution for this equation is of the form y = e^{rt}.We need to find the values of r for which the given differential equation has solutions of the form y = e^{rt}.Now, differentiate y = e^{rt} w.r.t. t we get: y' = re^{rt}Differentiating again, we get:y'' = r^{2}e^{rt}Differentiating y' w.r.t. t, we get: y''' = r^{3}e^{rt}Substituting these values of y', y'' and y''' in the given differential equation, we get:r^{3}e^{rt} + 8r^{2}e^{rt} + 15re^{rt} = 0Simplifying the above expression, we get:r^{3} + 8r^{2} + 15r = 0r(r^{2} + 8r + 15) = 0r(r + 5)(r + 3) = 0So, we get three values of r:r = 0, r = -5 and r = -3 The final answers are:Three.

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Poisson distribution models eruption frequency, not exact timing of eruptions. Other factors also influence eruption prediction.

What is volcanoes erupt ?

A volcanic eruption is when lava and gas are released from a volcano—sometimes explosively. The most dangerous type of eruption is called a 'glowing avalanche' which is when freshly erupted magma flows down the sides of a volcano.

In a volcanic eruption modeling context, the Poisson distribution can be used to estimate the average number of eruptions for a given volcano over a certain time period, but it does not account for the specific timing of each eruption. Other factors such as the volcano's structural characteristics, seismic activity, and gas emissions also play a role in determining when an eruption will occur.

Therefore , Poisson distribution models eruption frequency, not exact timing of eruptions. Other factors also influence eruption prediction.

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