please answer number 9 :((((

Plot the given coordinates of the polygon in the coordinate plane and connect it with a smooth curve.

A two-dimensional geometric shape with a finite number of sides is called a polygon. A polygon's sides are constructed from segments of straight lines joined end to end.

A coordinate plane is a two-dimensional plane created by the intersection of two number lines. The x-axis, a horizontal number line, and the y-axis, a vertical number line, are two of these number lines.

Plot the points on the graph according to the given coordinates. Connect all the points. The polygon is triangle.

Learn more about polygon here:

https://brainly.com/question/24464711

#SPJ1

Step 1: Isolate the Sin Operator

\(8 sin(\frac{\pi }{6} x)=2\\sin(\frac{\pi }{6} x)=0.25\\\\\)

Step 2: Use Inverse Sin(arcsin) to isolate the term with the x variable

Note that since trig functions have 2 general solutions, this will give us one of our general solutions.

\(x=\frac{6 arcsin(0.25)}{\pi } =0.48\)

x₁= 0.48

Solving for x₂

Use the period identity for Sin Functions

\(sin(x)=sin(\pi -x)\)

X in this case is arcsin(0.25)

\(\frac{\pi }{6} x=\pi -arcsin(0.25) = 5.52\)

So our two general solutions are 0.48 and 5.52

Step 3: Period

Trig Functions have periodic behavior and this function period is

\(\frac{2\pi }{1} (\frac{6}{\pi } )= 12\)

So our general solutions are

0.48±12k, where k is an integer

5.52±12k, where k is an integer

Let k=1, and we get our next set of solutions:

12.48 and 17.52

So our answer is 0.48,5.52,12.48,17.52

Answer:

c

Step-by-step explanation:

...................................

Answer:

34

Step-by-step explanation:

= 26 + 8

= 34

The correct option is the third one, it can be written as the equation:

y = A*(1 - 0.073)ˣ

A general exponential decay can be written as:

y = A*(b)ˣ

Where A is the initial value, and b is the base.

It is an exponential decay only if 0 < b < 1.

From the given options, the one that can be modeled with an exponential decay is a car whose price depreciuates at a rate of 7.3% per year, because if the initial price of the car is A, we can write it as:

y = A*(1 - 0.073)ˣ

Learn more about exponential decays at:

https://brainly.com/question/27822382

#SPJ1

Answer: Equilateral

Step-by-step explanation:

It's equilateral because it says that each side of the triangle is 4cm. In simple words, all the sides of triangle are equal. Such a triangle is called an equilateral triangle.

Hope you understood.

Answer:

\(\mbox{\large t = \boxed{1} second}\)

Step-by-step explanation:

The function relating time and height of the ball is given as

\(h(t) = -16t^2 + 16t + 320\cdots\cdots \cdots(1)\)

with the variables h, t as defined in the question

We are asked to find the time at which the ball reaches a height of 320 feet

Substitute 320 for h in Equation (1) and solve for t

\(320 = -16t^2 + 16t + 320\\\\\textrm{Switching sides, }\\\\\\-16t^2 + 16t + 320 = 320\\\\\textrm{Subtract 320 from both sides to get}\\\\\\-16t^2 + 16t = 0\)

Carry 16t  to the right side:

\(-16t^2 = -16t\\\\\)

Divide both sides by -16t:
\(\dfrac{-16t^2}{-16t} = \dfrac{-16t}{-16t}\\\\\implies t = 1\)

That means the ball has a height of 320 feet when t = \(\boxed{1}\) second

We can check if this correct by plugging in t=1 into the original equation:

At t = 1

- 16t² + 16t + 320
= -16(1)² + 16(1) + 320

= -16 + 16 + 320

= 320

Hence t = 1 checks out

Answer: the ball has height 320 feet when t=0, 1 seconds

Step-by-step explanation:

\(Given: \ h(t)=-16t^2+16t+320\ \ \ \ h(t)=32\ feet\\\\Find\ t\geq 0\\\\\)

                                  \(Solution\)

\(h(t)=-16t^2+16t+320\\\\320=-16t^2+16t+320\\\\0=-16t^2+16t\\\\0+16t^2=-16t^2+16t+16t^2\\\\16t^2=16t\\\\16t^2-16t=16t-16t\\\\16t^2-16t=0\\\\16(t^2-t)=0\)

We divide both parts of the equation by 16:

\(\displaystyle\\t^2-t=0\\\\t(t-1)=0\\\\\left \{ {{t=0} \atop {t-1=0}} \right. \ \ \ \ \ \ \Rightarrow\\\\t=0 \ \ \ \ t=1\)

Pareto chart is a type of bar graph which often displays the data in descending order of frequency.

It is made up of vertical bars, with the height of each bar representing the frequency of occurrence for each category. The chart is named after Vilfredo Pareto, who used it to analyze economic data in the late 19th century.

For the given data, we calculate the cumulative frequency of the data by adding the frequencies of each category.

Toga: 6

Hayride: 6 + 4 = 10

Beer Bash: 10 + 8 = 18

Masquerade: 18 + 2 = 20

The Pareto chart is created by plotting the cumulative frequency against the categories. The chart is plotted with the categories on the x-axis and the cumulative frequency on the y-axis.

Toga: 6 (30%)

Hayride: 10 (50%)

Beer Bash: 18 (90%)

Masquerade: 20 (100%)

Hence, the Pareto chart for the given data is as follows:

Toga: 30%

Hayride: 20%

Beer Bash: 40%

Masquerade: 10%

Learn more about Pareto chart here:

https://brainly.com/question/17840218

#SPJ4

Answer:

The unit price is $1.3991 or $1.40 when rounded

Step-by-step explanation:

To find the unit rate you divide the price by the amount of cupcakes. This would be set up as $16.79÷12

Answer:

D. 11

Step-by-step explanation:

First apply the secant-secant theorem to find the value of x.

Thus,

VU(TU + VU) = VW(BW + VW) (secant-secant theorem)

Substitute

(7)(x + 4 + 7) = (9)(-2 + x + 9)

7(x + 11) = 9(7 + x)

7x + 77 = 63 + 9x

Collect like terms

7x - 9x = 63 - 77

-2x = -14

Divide both sides by -2

x = 7

✔️Find TU

TU = x + 4

Substitute get value of x

TU = 7 + 4 = 11

Answer:

11

Step-by-step explanation:

After considering the given data we come to the conclusion that the length of AB is 12.124 units, under the condition that A (-3, 5) and B (4, -2) are the given coordinates.

The distance between two points in a plane can be found using the distance formula which is an application of the Pythagorean theorem. The formula is given by d=√ ( ((x₂ – x₁ )² + (y₂ – y₁ )²)

Here (x₁, y₁) and (x₂, y₂) are the coordinates of the two points.

Applying the given coordinates of A (-3, 5) and B (4, -2), we can evaluate the distance between them as follows:

d = √( (4 - (-3))² + (-2 - 5)² )

 = √(7² + (-7)²)

 = √(98 + 49)

 = √147

 = 12.124

Therefore, the length of AB is approximately 12.124 units.

To learn more about Pythagorean theorem

https://brainly.com/question/28981380

#SPJ1

Answer:

11.51% probability that the mean annual salary of the sample is between $71000 and $73500

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this question, we have that:

\(\mu = 74000, \sigma = 2500, n = 36, s = \frac{2500}{\sqrt{36}} = 416.67\)

What is the probability that the mean annual salary of the sample is between $71000 and $73500?

This is the pvalue of Z when X = 73500 subtracted by the pvalue of Z when X = 71000. So

X = 73500

\(Z = \frac{X - \mu}{\sigma}\)

By the Central Limit Theorem

\(Z = \frac{X - \mu}{s}\)

\(Z = \frac{73500 - 74000}{416.67}\)

\(Z = -1.2\)

\(Z = -1.2\) has a pvalue of 0.1151

X = 71000

\(Z = \frac{X - \mu}{s}\)

\(Z = \frac{71000 - 74000}{416.67}\)

\(Z = -7.2\)

\(Z = -7.2\) has a pvalue of 0.

0.1151 - 0 = 0.1151

11.51% probability that the mean annual salary of the sample is between $71000 and $73500

Let A be the event that a family chose at random indicated an intention to buy a new car and let B be the event that a family chose at random bought a new car within 3 months.

We are asked to find P(A'), which is the probability that a family chosen at random had not previously indicated an intention to buy a car.

We can use the given information to write the following conditional probabilities:

P(B | A) = 60%

P(B | A') = 10%

P(A) = 26%

We can use these probabilities to apply Bayes' theorem to find P(A' | B), which is:

P(A' | B) = P(B | A') * P(A') / P(B)

Substituting the values from the problem, we have:

P(A' | B) = (10%) * (100% - 26%) / (60% * 26% + 10% * (100% - 26%))

= (10%) * (74%) / (60% * 26% + 10% * 74%)

= (10%) * (74%) / (15.4% + 7.4%)

= (10%) * (74%) / (22.8%)

= 43.86%

Therefore, the probability that a family chosen at random had not previously indicated an intention to buy a car is 43.86%.

Learn more about probability:
https://brainly.com/question/28021875

#SPJ4

Answer:

Step-by-step explanation:

y=5 1/3 can be expressed in infinite ways

PREMISES

y=5 1/3 expressed as a fraction

CALCULATIONS

The mixed number 5 1/3 can be written in various ways:

y=5 1/3

y=

(.25/.046875, .5/.09375, 1/.1875, 2/.375, 4/.75, 8/1.5, 16/3 as improper fractions or 5.3333 repeating as a decimal fraction]

The inverse function:  \(f^{-1} (x) =\) \((\frac{x -5}{5} )^{2} -13\)

The inverse is defined on the domain x < 5 and x ≥ -13 for the original function, which means that the range of the original function is y ≥ 5.

A function is a relationship that exists between two sets of numbers, with each input from the first set, known as the domain, corresponding to only one output from the second set, known as the range.

Given function is;   \(f(x) = 5\sqrt{(x + 13)} + 5\)

To find the inverse of the given function, we first replace f(x) with y:

⇒  \(y = 5\sqrt{(x + 13)} + 5\)

Subtract 5 from both sides:

⇒ \(y -5 = 5\sqrt{(x + 13)}\)

⇒ \(\frac{(y -5)}{5} = \sqrt{(x + 13)}\)

⇒ \((\frac{y -5}{5} )^{2} = x + 13\)

⇒ \((\frac{y -5}{5} )^{2} -13 = x\)

Now we have x in terms of y, so we can replace x with f⁻¹(x) and y with x to get the inverse function:

f⁻¹(x) = \((\frac{x -5}{5} )^{2} -13\)

The domain of the inverse function is x ≥ 5, because this is the range of the original function, and we were given that the inverse is defined on the domain x < 5. However, we must also exclude the value x = 5, because the denominator of the fraction \((\frac{x -5}{5} )^{2}\) becomes zero at this value. Therefore, the domain of f⁻¹(x) is x > 5.

We were given that x ≥ -13 for the original function, which means that the range of the original function is y ≥ 5. Therefore, the domain of the inverse function becomes the range of the original function, and the range of the inverse function becomes the domain of the original function.

To know more about domain, visit:

https://brainly.com/question/26098895

#SPJ1

Answer:

The weight that does not round to 2.46 pounds is C 2.454 pounds.

Step-by-step explanation:

Based on the given information, the weights of the four similar packs of tomatoes are as follows:

Malcolm rounds the weights to the nearest hundredth pound. To round to the nearest hundredth pound, we look at the digit in the hundredths place. If it is 5 or greater, we round up the digit in the tenths place. If it is less than 5, we leave the digit in the tenths place as it is. Therefore, we can obtain the rounded weights as follows:

From the above rounded weights, we see that Pack C rounds to 2.45 pounds and does not round to 2.46 pounds. Therefore, the weight that does not round to 2.46 pounds is C 2.454 pounds.

The possible values for the range of f(x) are given by:

The range of a function f(x) is the set that contains all possible output values for the function. Looking at the graph of the function, the range is composed by the values of y.

In this problem, the function is not given, so I can't give you an exact answer, but since the range is composed by the values of y, the first option is not possible, and the possible values for the range of f(x) are given by:

More can be learned about the range of a function at https://brainly.com/question/28015028

#SPJ1

Answer:

A. vertex B

B. Side BC and BD

C. Angle EBD

Me and my Teacher did this together

Answer:

Step-by-step explanation:

divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points .

Answer:

Here is your answer hope it helps u have a great day ahead....

Answer:  9c²

Step-by-step explanation:

To find the Greatest Common Factor of 207c³ and 108c², first factor them down to their primes and see what they have in common.

                207c³                     108c²

                 ∧   ∧                        ∧  ∧

             9·23  c·c·c              9·12   c·c

            ∧                            ∧  ∧

           3·3                         3·3 3·4

                                                  ∧

                                                 2·2

207c³: 3·3·23  c·c·c

108c²:  2·2·3·3·3·4 c·c

GCF = 3·3 c·c

        = 9c²

The GCF of 207c^3 and 108c² is 9c²

Given the expressions \(207c^3 \ and \ 108c^2\)

We are to find the GCF of both terms

First, we need to get the factors as shown::

207c³ = 9 * 23 * c² * c

108c² =  9 * 12 * c²

From the factors, we can see that 9 and c² are common to both terms:

The GCF of 207c^3 and 108c² is 9c²

Learn more here: https://brainly.com/question/21612147

Based on the given histogram, the data is skewed with a maximum range of 49.

This is because the frequency bars are not evenly distributed across the x-axis intervals, indicating that the data is not symmetric. The lack of a shaded bar for the 40 to 49 interval also suggests that there were fewer donations in that range compared to the other intervals.

One possible explanation for this skewness could be that the charity had suggested donation levels, with a minimum of $10, resulting in a large number of donations in the 10 to 19 interval. Additionally, the shaded bar stopping at 1 for the 30 to 39 and 50 to 59 intervals suggests that there were fewer donations in those ranges. This could be due to a variety of reasons, such as donors being more likely to give in the suggested $10 increments, or the charity's fundraising efforts being more effective at attracting donors in certain age or income brackets.

Overall, the histogram does not suggest a bimodal distribution, as there is not a clear separation between two distinct modes. The maximum range of 49 also indicates that there were no extreme outliers or large donations that would skew the data towards a higher range. Therefore, it is likely that the data represents a typical distribution of donations to a charity, with most donors giving smaller amounts and fewer donors giving larger amounts.

Learn more about histogram here:

https://brainly.com/question/30354484

#SPJ1

The quadratic expression x² − 2x + 3 cannot be factorized

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

x² − 2x + 3

Rewrite as

f(x) = x² − 2x + 3

A quadratic expression is represented as

f(x) = ax² + bx + c

By comparison, we have

a  = 1

b = -2

c = 3

The determinant (D) of the expression is calculated as

D = b² - 4ac

Substitute the known values in the above equation, so, we have the following representation

D = (-2)² - 4 * 1 * 3

Evaluate

D = -8

When the determinant of a quadratic expression is less than 0, the expression has no real root

This in other words mean that the expression cannot be factorized

The determinant, -8 is less than 0

So, x² − 2x + 3 cannot be factorized

Hence, the conclusion is that the expression x² − 2x + 3 cannot be factorized

Read more about factored expression at

https://brainly.com/question/723406

#SPJ1

Answer: 19

Step-by-step explanation:

The comparisons that are true are 11. -5 < 0 12. 9 > -8 14. 55 > -75 15. -32 < -24 16. 89 > 73 17. -58 < -51  19. 17 < 23  20. 18 > -36 and that is not true are 13. -7 = -7 (not true) 18. -32 > 4 (not true)

To make each statement true, write < or >. We need to compare two values for each statement to determine whether it is true or false.

To indicate that the first value is less than the second value, write <.

Alternatively, to indicate that the first value is greater than the second value, write >.

Below are the comparisons: 11. -5 < 0 12. 9 > -8 13. -7 > -7 14. 55 > -75 15. -32 < -24 16. 89 > 73 17. -58 < -51 18. -32 > 4 19. 17 > 23 20. 18 > -36

To determine the direction of inequality, we need to compare the values.

We used inequality signs such as > (greater than) or < (less than) to indicate which value is larger or smaller than the other.

For more questions on comparisons

https://brainly.com/question/30097421

#SPJ8

The correct question would be as

Write > or < to make each statement true.

11. -5 0

12. 9 -8

13. -7 7

14. 55 -75

15. -32 -24

16. 89 73

17. -58 -51

18. -32 4

19. 17 23

20. 18 -36​

Answer:

36 players

Step-by-step explanation:

Total players = 48

Group 1 : Group 2

1:3

For Group 1:

=48X3÷4

=12

For Group 2:

=48X3÷4

=36

Group 1 players+Group 2 players=48 players

12+36=48

Answer:

6840

Step-by-step explanation:

20 ! = 20*19*18*17*.......1

17 =17*16*15*.....1

20!

-----

17!

20*19*18*17*.......1

---------------------------

17*16*15*.....1

Canceling like terms

20*19*18

------------

1

6840

Answer:

\(20!/17!\)

\(\frac{20!}{17!}=20\cdot \:19\cdot \:18\)

\(20\cdot \:19\cdot \:18=6840\)

\(OAmalOHopeO\)