Please help me out! its urgent!

If you draw all the diagonals of a normal hexagon, there are 3*6=18 possible triangles; however, three of those are identical (the equilateral triangles), leaving us with 18-3=15 triangle possibilities.

In terms of geometry, a hexagon is a closed, six-sided polygon in two dimensions. A hexagon has six angles and six vertices. Hexa and gonio both denote the number six. A hexagon can be found in the shapes of a honeycomb, a football, a pencil face, and floor tiles. a standard hexagonal 2D geometric polygon with six equal-length sides and six equal-sized angles. All of the lines are closed, and there are no curving edges. A regular hexagon has 720 degrees of internal angles. Additionally, these shapes have six rotating and six reflective symmetries.

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Answer:

The charity drive was held over two days. On the first day, the 20 artists worked for 6 hours. On the second day, 25 artists turned up and worked for 12 hours. Find the total number of art installations completed over the two days.​

Step-by-step explanation:

Let's start by finding the total number of art installations completed on the first day by the 20 artists who worked for 6 hours. If each artist creates one art installation, then the total number of installations created by the 20 artists is:

20 artists x 6 hours/artist = 120 art installations

On the second day, 25 artists worked for 12 hours. Using the same assumption that each artist creates one art installation, the total number of installations created by the 25 artists is:

25 artists x 12 hours/artist = 300 art installations

Therefore, the total number of art installations completed over the two days is:

120 + 300 = 420

So, the charity drive produced 420 art installations over the two days.

Answer:

3

Step-by-step explanation:

to be a function, there has to be exactly one x for every y. if there is more than one per y, it makes it not a function. so, if there is two of the same number in the x, it's not a function.

A function of Table C since all the input variables has a unique value in the codomain

For a table to be a function, all the input values must have a unique output.

Also, there must not be a repetition of values in the x-column of the table, hence it is not a function

From the given tables, you can see that the table that represents a function of Table C since all the input variables has a unique value in the codomain

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Answer:

m+10

Step-by-step explanation:

We know that yesterday, eric had m baseball cards. Thus, we can denote that the total number of baseball cards he had yesterday is m.

We know that he got 10 more today. Since he is receiving more, he is adding to his collection. Since he is getting more, we have to add 10 to how many baseball cards he used to have. He used to have m baseball cards, so today he has m+10 baseball cards.

This is the answer as we cannot combine 10 and m. Since m is a variable with no set value as of now, and 10 is a constant number that has no variable, they are not like terms and cannot be added. So the answer is m+10 baseball cards.

I hope this helped.

Please consider giving brainliest if anyone else responds.

Answer: -2/1

Step-by-step explanation:

Slope = Change in y/Change in x

Equation:

(7-3)/(2-4)

Evaluate:

4/-2

Simplify:

-2/1

Answer:

x=9

Step-by-step explanation:

plug in the number 9

-2(9)= -18

-18+3= -15

To find the selling price that will yield the maximum profit, we need to find the vertex of the quadratic function given by the profit equation y = -5x² + 286x - 2275.The x-coordinate of the vertex can be found using the formula:

x = -b/2a

where a = -5 and b = 286.

x = -b/2a

x = -286/(2(-5))

x = 28.6

So, the selling price that will yield the maximum profit is $28.60 (rounded to the nearest cent).

Therefore, the widgets should be sold for $28.60 to maximize the company's profit.

Hope I helped ya...

Answer:

29 cents

Step-by-step explanation:

The amount of profit, y, made by the company selling widgets, is related to the selling price of each widget, x, by the given equation:

\(y=-5x^2+286x-2275\)

The maximum profit is the y-value of the vertex of the given quadratic equation. Therefore, to find the price of the widgets that maximises profit, we need to find the x-value of the vertex.

The formula to find the x-value of the vertex of a quadratic equation in the form y = ax² + bx + c is:

\(\boxed{x_{\sf vertex}=\dfrac{-b}{2a}}\)

For the given equation, a = -5 and b = 286.

Substitute these into the formula:

\(\implies x_{\sf vertex}=\dfrac{-286}{2(-5)}\)

\(\implies x_{\sf vertex}=\dfrac{-286}{-10}\)

\(\implies x_{\sf vertex}=\dfrac{286}{10}\)

\(\implies x_{\sf vertex}=28.6\)

Assuming the value of x is in cents, the widget should be sold for 29 cents (to the nearest cent) to maximise profit.

Note: The question does not stipulate if the value of x is in cents or dollars. If the value of x is in dollars, the price of the widget should be $28.60 to the nearest cent.

Answer:  \(\frac{19}{6} : \frac{17}{6}\)

Step-by-step explanation:

Let us first represent the ratio.

3\(\frac{1}{6} : \frac{17}{6}\)

Now we need to convert 3\(\frac{1}{6}\) into a improper fraction.

\(\frac{19}{6} : \frac{17}{6}\)

Now it is in its simplest form.

The final answer is  \(\frac{19}{6} : \frac{17}{6}\)

Answer:

680 in^2

Step-by-step explanation: (find the surface area)

2(8 x 15 x 1/2) = 120

8 x 14 = 112

17 x 14 = 238

15 x 14 = 210

Answer:

This ain't an answer, the other guy is right I'm just putting this here so he can get brainliest

Step-by-step explanation:

So, the simplified expression that represents the total cost is 8(x + 0.34375) dollars.

Let x be the cost of one scoop of ice cream without any toppings. Then the total cost for each kid who adds sprinkles is x + 0.25, the total cost for each kid who adds nuts is x + 0.35, and the total cost for each kid who adds nothing extra is x.

Therefore, the total cost for the 10 kids is:

5(x + 0.25) + 3(x + 0.35) + 2x = 8x + 2.75

Simplifying this expression, we get:

8x + 2.75 = 8(x + 0.34375)

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The divergence theorem states that the surface integral of the divergence of a vector field over a closed surface is equal to the triple integral of the divergence of the vector field over the volume enclosed by the surface

we are given the vector field F = (11x, 2y, \(z^{2}\)) and the surface S defined by the equation \(x^2 + y^2 + z^2\)= 1, which represents a unit sphere.

To evaluate the surface integral ∬S F · ds using the divergence theorem, we first need to calculate the divergence of the vector field F. The divergence of F, denoted as ∇ · F, is given by the sum of the partial derivatives of the components of F with respect to their corresponding variables. Therefore, ∇ · F = ∂(11x)/∂x + ∂(2y)/∂y + ∂(z^2)/∂z = 11 + 2 + 2z.

Applying the divergence theorem, the surface integral ∬S F · ds is equal to the triple integral ∭V (∇ · F) dV, where V represents the volume enclosed by the surface S.

Since the surface S is a unit sphere centered at the origin, the triple integral ∭V (∇ · F) dV can be evaluated by integrating over the volume of the sphere.

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The least amount Rita has been charged in a month is her monthly fee is f.

Given that Rita pays a monthly fee of $f and pays an additional $p per minute of use. The least she has been charged in a month is $c. Let the total number of minutes Rita used in a month be m, then her monthly cost can be calculated as: $c = f + mp

To find the least amount Rita has been charged in a month, we need to minimize the value of c. This is achieved by minimizing the value of m, the total number of minutes Rita used in a month.

If Rita doesn't use her phone at all, the cost of the monthly fee, f, would be the least amount she has been charged in a month.

Hence,
\($c_{min} = f$$f = f + mp_{min} ⇒ mp_{min} = 0$\)

Therefore, f is the least amount Rita has been charged as monthly fee.

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The measurement that gives you the difference between the points on the scatterplot and the prediction line for the same value of x is the residual. Therefore, the correct answer is C. Residual.

In regression analysis, the residual represents the vertical distance between the observed data points and the corresponding predicted values on the regression line. It is calculated by taking the difference between the actual observed value and the predicted value for a specific value of the independent variable (x). The residuals provide a measure of how well the regression line fits the data, with smaller residuals indicating a better fit.

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Hello,

Let us choose an element x of the Real Numbers. So x can either be positive or negative. So we have two case to study :

Case 1 : x is positive.

If x is positive, that is, x = 0, 1, 2, 3, ....

then the absolute value gives us the same number : |0| = 0

|1| = 1

|2|= 2

etc.

so the absolute value of x positive equals x : |x| = x

Case 2 : x is negative.

If x is negative, that is, x = - 1, - 2, -3, .....

then the absolue value gives us the opposite value : |-1| = - (-1) = 1

|-2| = -(-2) = 2

|-3| = -(-3) = 3

(Remember the product of two negative sign is a positive signe : -1 * -1 = +1)

And so we can join both cases as a piecewise function, writing :

|x| = \(\left \{ {{x=x if x\geq 0 } \atop {x= - x if x<0 }} \right.\)

so x = x if x ≥ 0 and x = - x if x < 0

Finally the answer is : it depend on the function itself. If the function takes both positive and negative value, then the absolute value of the function will be written as a piecewise function. If the function takes only positive or negative value, then it won't be written as a piecewise function.

Answer:

5

Step-by-step explanation:

Answer:

Every triangle is 180 so subtract from 180 -36.5=143.5

Yo see b has a square which is equal to 90 so 143.5-90=53.5

B=90

C=53.5

D=36.5

Alll togethor gives 180

So ur ans is true

Answer:

False, 82 inches is not greater than 5 feet and 10 inches

Step-by-step explanation:

1 feet = 12 inches

5x12=60+10=70

82 is greater than 70.

Answer:

0.1179

Step-by-step explanation:

Given that :

p = 0.53

n = 6 ; x = 5

P(x = 5)

According to the binomial probability formula :

P(x = r) = nCr * p^r * (1 - p)^(n - r)

P(x = 5) = 6C5 * 0.53^5 * (1 - 0.53)^(6 - 5)

P(x = 5) = 6C5 * 0.53^5 * 0.47^1

P(x = 5) = 6 * 0.53^5 * 0.47^1

P(x = 5) = 0.117931129026

= 0.1179

The riddle mentioned in the question is about a farmer who is traveling along with a sack of rye, a goose, and a mischievous dog.

He comes to a river that he must cross from east to west, and there is a boat available to do so.  Therefore, the farmer takes the goose back to the east side and leaves it there. He then takes the sack of rye across the river, drops it off with the dog, and goes back to the east side to pick up the goose. In this manner, all of the farmer's possessions can be safely transported across the river without any of them being lost to the dog or the goose.This riddle is a classic example of a type of logical puzzle known as a "transport problem."

The goal of a transport problem is to determine how to transport one or more objects from one location to another while satisfying certain constraints, such as the size of the transport vehicle or the safety of the objects being transported.

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An equivalent expression to \(7k^2\), where k is an even number, is \(28n^2\), where n is an integer.

If k is an even number, then we can write k as 2n, where n is some integer. Substituting this into \(7k^2,\) we get:

\(7(2n)^2= 7(4n^2)\)

\(= 28n^2\)

Therefore, an equivalent expression to \(7k^2\), where k is an even number, is \(28n^2\), where n is an integer.

An integer is the number zero, a positive natural number or a negative integer with a minus sign. The negative numbers are the additive inverses of the corresponding positive numbers. In the language of mathematics, the set of integers is often denoted by the boldface Z.

Integers come in three types:

Zero (0)

Positive Integers (Natural numbers)

Negative Integers (Additive inverse of Natural Numbers)

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Answer:

334.6 miles

Step-by-step explanation:

Do either

47.8 x 7 = 334.6

or

47.8 + 47.8 + 47.8 + 47.8 + 47.8 + 47.8 + 47.8 + 47.8 = 334.6

The series `∑bn` converges if and only if `∑cn` converges, since both series are positive. We know that `∑cn` is a p-series with `p = 5 > 1`, and hence, converges. Therefore, `∑bn` also converges.

Let's first write the definition of the absolute value of a number x: |x|=x, if x≥0; |x|=−x, if x<0.

Here, we assume that `|an / 1an|` converges to `rho = 17`.

Therefore, 17 - ε < |an / 1an| < 17 + ε, for all ε > 0.

Dividing both sides by 17 and taking reciprocals, we have:

`1/(17 + ε) < 1/|an / 1an| < 1/(17 - ε)`Let `bn = n^5an`.

Since `bn` is the product of `n^5` and `|an / 1an|`, the limit of `|bn / 1bn|` is the same as the limit of `|an / 1an|`, which is 17.

Now, we use the Limit Comparison Test to determine the convergence of the series `∑bn` since `bn` is positive for all n. Let `cn = n^5`.

Then, the limit of `|bn / 1cn|` is: `lim (n → ∞) |bn / 1cn| = lim (n → ∞) |an / 1an| = 17`.

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The given series

\([infinity]∑n=1bn=[infinity]∑n=1n^5an\)

will converge.

The p-series test is used to check the convergence of a series of the form

∑n^p. If p > 1,

the series converges, otherwise, it diverges.

Given that ∣∣∣an 1an∣∣∣ converges to rho = 17.

We need to determine what can be said about the convergence of the given series i.e

[infinity]∑n=1bn=[infinity]∑n=1n^5an.

We know that if ∣an∣ converges then the series ∑an converges as well. Here, we have

∣∣∣an 1an∣∣∣ = 1/∣∣∣an∣∣∣ → 1/17

We know that the given series

\([infinity]∑n=1bn=[infinity]∑n=1n^5an\)

is a product of ∑n^5 and ∣∣∣an 1an∣∣∣ series, i.e,

∑n^5*∣∣∣an 1an∣∣∣.

So, by comparison test, we can say that if  ∑n^5 converges, then the given series  ∑n^5an will also converge.

Let's check if  ∑n^5 converges or not using the p-series test,

\(∑n^5 = ∞∑n=1 1/n^-5 = ∞∑n=1 n^5∞∑n=1 1/n^-5 = ∞∑n=1 n^-5\)

Since p = 5 > 1, ∑n^5 is a convergent series.

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Start writing an expression that represents the balance of the account after the withdrawal each week

then, complete the inequality taking into account the conditions of leaving a minimum of $400

solve the inequality

Answer:

9

Step-by-step explanation:

We know that f(x) = 13. This means that:

f(x)= 13 = 2x-5

13= 2x-5

Now we all need to do is solve this equation. First add 5 to both sides

13 + 5= 2x

18=2x

Now we divide by 2 on both sides.

18 ÷ 2= x

x= 9

Answer:

At the city museum, child admission is $5.90 and adult admission is $9.20. on sunday, 144 tickets were sold for a total sales of $1136.70 . how many adult tickets were sold that day?

Step-by-step explanation:

The required difference between the commission paid is $100.25 when David sells a car for a $1,000 profit and for a $799 profit.

The percentage is defined as a ratio expressed as a fraction of 100.

We have to determine the difference between the commission paid if David sells a car for a $1,000 profit and the commission paid if he sells a car for a $799 profit

The profit = $1,000

The profit is $1,000 or more, the rate is 30% of the profit.

So, the commission paid :

⇒ 30% of $1,000 = $300

The profit = $799

The profit is under $800, the commission is 25%.

So, the commission paid :

⇒ 25% of $799= $199.75

The required difference between the commission paid :

⇒ $300 - $199.75 = $100.25

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There are 279,072,000 different ways the DJ can arrange the first 6 songs on the playlist.

The number of ways to arrange the first 6 songs on the playlist is a permutation of 6 objects taken from a set of 19 objects. The order matters because the first 6 songs will be played in a specific sequence.

We can calculate the number of permutations using the formula:

P(19, 6) = 19! / (19 - 6)!

where "!" denotes the factorial function.

Using this formula, we get:

P(19, 6) = 19! / 13!

= 19 × 18 × 17 × 16 × 15 × 14

= 279,072,000

Therefore, there are 279,072,000 different ways the DJ can arrange the first 6 songs on the playlist.

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The volume of the cylinder with height 8units and radius 4 units is 128πunits^3

The formula for calculating the volume of a cylinder is expressed as:

V = πr²h

where:

r is the radius

h is the height

Given the following

h = 8units

r = 4 units

Substitute

V = πr²h

V = π(4)²(8)
V = 128πunits^3

Hence the volume of the cylinder with height 8units and radius 4 units is 128πunits^3

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