3) A jewelry store sells a popular line of charm
bracelets. Each bracelet includes one chain and a
number of charms selected by the customer. The
price of the chain is 20 dollars, and each charm costs
c dollars. Write an expression that represents the
scenario.
4

Answer:

Step-by-step explanation:

f vesadfc

The equation, in standard form, that  represents the relationship between the number of lunches, x is 5x + y = 100. Option A

An equation is a mathematical statement that illustrates the equality of two things.

The given parameters are

Amount spent = x

Amount that remains = y

Total amount spent = 100

The difference between the amount spend is 5

This implies that 5(x) + y (1) = 100

Opening the brackets to have 5x + y = 100

In this case, we conclude that the best equation  in standard form, represents the relationship between the number of lunches, x, is 5x + y = 100

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The point slope form of the slope of escalator and distance is y-24 = 3/4(x-32).

The general point slope form is given by the equation -

y - y1 = m (x - x1)

Now we are given the slope as 3/4. So, keeping the values of y1 and x1 in the equation. Let us assume the points as (32, 24). As per the points, 32 is x1 and 24 is y1.

y - 24 = 3/4(x - 32)

y - 24 = 3x/4 - 3/4×32

Performing division on Right Hand Side of the equation

y - 24 = 3x/4 - 3×8

y - 24 = 3x/4 - 24

Rewriting the equation

y - 3x/4 = - 24 + 24

Solving the equation on Right Hand Side of the equation

y - 3x/4 = 0

y = 3x/4

Thus, the equation is y - 24 = 3/4(x - 32).

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There is no change in its slope as initial and final slope is 1.

What is slope?

In arithmetic, the slope or gradient of a line may be a variety that describes each the direction and therefore the abruptness of the line.

Main body:

formula for slope with two points form is =

y -y₁ =( y₂-y₁ /x₂-x₁ )(x - x₁)

according to question ,

points are (0,0) and (3,3)

y - 0 = (3-0/3-0)(x -0)

y = 3/3 *x

y = x

hence slope of line is 1.

Now points are (0,0) and (-3,-3).

y - 0 = (-3-0/-3-0)(x -0)

y =- 3/-3 *x

y = x

hence slope of line is 1.

So there is no change in its slope.

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Answer:

Step-by-step explanation:

To find the average rate of change from 2 to 6, we can use the formula for the average rate of change, which is given by (y2 - y1) / (x2 - x1). In this case, the function we are working with is g(x) = x² - 1, so we need to plug in the values of x1 and x2 into the function to get the corresponding values of y1 and y2.

a) The average rate of change from 2 to 6 is given by:

(g(6) - g(2)) / (6 - 2)

Plugging in the values of x1 and x2 into the function g(x), we get:

(g(6) - g(2)) / (6 - 2) = (6² - 1 - 2² + 1) / (6 - 2) = (35 - 3) / 4 = 32 / 4 = 8

Therefore, the average rate of change from 2 to 6 is 8.

b) To find an equation of the secant line containing the points (-2, g(-2)) and (6, g(6)), we need to first find the slope of the secant line. The slope of the secant line is given by the formula (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points on the secant line.

In this case, the coordinates of the two points on the secant line are (-2, g(-2)) and (6, g(6)). Plugging these values into the formula for the slope, we get:

m = (g(6) - g(-2)) / (6 - (-2)) = (6² - 1 - (-2)² + 1) / (6 + 2) = (35 + 5) / 8 = 40 / 8 = 5

Now that we know the slope of the secant line, we can use the point-slope form of a line to write the equation of the secant line. The point-slope form of a line is given by the formula y - y1 = m(x - x1), where (x1, y1) is a point on the line, m is the slope of the line, and (x, y) are the coordinates of a generic point on the line.

In this case, we know that the point (-2, g(-2)) is on the secant line, and we know that the slope of the secant line is 5. Plugging these values into the point-slope form of a line, we get:

y - g(-2) = 5(x - (-2))

We can then simplify this equation to get:

y - (-2² - 1) = 5(x + 2)

y + 3 = 5x + 10

Finally, we can move all of the terms containing x to one side of the equation and all of the constant terms to the other side of the equation to get the standard form of the equation of the line:

y = 5x + 7

Therefore, an equation of the secant line containing the points (-2, g(-2)) and (6, g(6)) is y = 5x + 7.

The non-zero orthogonal vector to the plane is 486i + 243j + 162j and the area of the triangle is 4374 unit squares.

The vertices of the triangle are P(9, 0, 0), Q(0, 18, 0), and R(0, 0, 27).

So, firstly we should find the vector PQ and PR,

Now,

PR = (0)i + (-18)j + (27)k

PR = -18j + 27j

And PQ,

PQ = (-9)i + (18)j + (0)k

PQ = -9i + 18j

Now, the normal vector which is also a non-zero orthogonal vector,

n = PQ x PR

n = 486i + 243j + 162j

Now, the area of the ΔPQR will be,

Ar(PQR) = [tex]\left[\begin{array}{ccc}9&0&0\\0&18&0\\0&0&27\end{array}\right][/tex]

Solving further,

Ar(PQR) = 4374 unit square.

So, the area of the triangle is 4374 unit square.

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Answer:

38

Step-by-step explanation:

The statement If B ⊂ A, then A U B = A is true.

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

If BCA, then AUB=A.

When the above statement is represented properly, we have the following representation

If B ⊂ A, then A U B = A

The statement If B ⊂ A means that

The set B is a subset of the set A

In other words, the whole of set B is in set A

If this is true, then the union of both sets represented by A U B is set A

Hence, it is true that If B ⊂ A, then A U B = A

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Missing part of the equation is 6.0 × [tex]10^{-8}[/tex] [tex]m^{3}[/tex].

It is given that students sets up the equation (0.060 [tex]cm^{3}[/tex])(_) = (_) [tex]m^{3}[/tex].

i.e. we have units of [tex]cm^{3}[/tex] and wants units of [tex]m^{3}[/tex] .

We know that 100 cm = 1 meter

i.e. 100cm/1 meter

⇒  [tex](100cm/1 meter)^{3}[/tex] = 1 × [tex]10^{6} cm^{3}/m^{3}[/tex]

⇒1/(1 × [tex]10^{6} cm^{3}/ m^{3}[/tex]) = (1 × [tex]10^{-6} m^{3}/cm^{3}[/tex])

We can use this new conversation factor to convert volume from [tex]cm^{3}[/tex] to [tex]m^{3}[/tex].

(0.060 [tex]cm^{3}[/tex])(1 × [tex]10^{-6} m^{3}/cm^{3}[/tex]) = (_) [tex]m^{3}[/tex]

(0.060 [tex]cm^{3}[/tex])(1 × [tex]10^{6} cm^{3}/m^{3}[/tex]) = 6.0 × [tex]10^{-8} m^{3}[/tex].

This is the required equation.

If we want to convert measurement,

to convert a smaller unit to a larger init, divide it by the number of smaller units which are needed to make larger unit. To convert from a larger unit to a smaller one, multiply. To convert from a smaller unit to a larger one, divide.

A conversation factor is a number used to change one set of units to another, by multiplying or dividing.

Given question is incomplete.

a student sets up the following equation to convert a measurement. (the stands for a number the student is going to calculate.) fill in the missing part of this equation  (0.060 [tex]cm^{3}[/tex])(_) = (_) [tex]m^{3}[/tex].

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The mean of their times is x = 80.2 seconds, the same as that of the researcher, after analyzing the given data we conclude that none of the given condition is appropriate.

We can observe that the researcher wishes to put the theories to the test.

H0: = 80.2  = null hypothesis

Ha: > 80.2 = alternative hypothesis.

The population mean is 80.2 and the standard deviation is 4.

He discovered after testing a sample of 1000 students;

The sample size is 1000.

The sample mean is x = 80.2 .

Z value = 0 and p = 1 , hence , the result is not significant .

He can no longer draw any conclusions or provide evidence for this study because there is no population mean for aerobic activity and no significance value in the entire query to compare the p-value with.

As a result, none of the possibilities are correct.

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In the picture we can see the graph represents of the function f(x)=x²-2x+3 that is curve graph.

Given that,

We have to find the graph represents the function f(x)=x²-2x+3.

We know that,

The quadratic function is f(x)=x²-2x+3.

This is a vertical parabola open downward

The vertex is a maximum

We know,

A vertical parabola's equation in vertex form is equal to

y= a(x-h)²+k

where

a is a coefficient

(h,k) is the vertex

Here

a=1

(h,k)=(0,3)  is vertex

The y-intercept is the point (0,3) is value of y when the value of x is equal to zero (is the same point that the vertex)

The x-intercepts are the points is values of x when the value of y is equal to zero  

Therefore, In the picture we can see the graph represents of the function f(x)=x²-2x+3.

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Answer:

$16.67

Step-by-step explanation:

$19.38*14%=$2.71

$19.38-2.71=$16.67

Answer:

2

Step-by-step explanation:

Hii!

Answer:

2

Step-by-step explanation:

1+1=2

On solving the provided question we go to know that - Graph with points- (2,1) (0,3) (4,3) (x,y).

In mathematics, a function is an expression, rule, or law that establishes the connection between two variables (the dependent variable).

a unique connection where every input only has one output. Where x is the input value, it is frequently expressed as yields a single output [tex]"x/2,"[/tex]indicating that it is a function:[tex]* f(2) = 1.[/tex]

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The rate of hiking is 4 miles per hour.  The rate of driving is 40 miles per hour.

What is the mile?

Mile, any of various units of distance, such as the statute mile of 5,280 feet (1.609 km). It originated from the Roman mile passus, or “thousand paces,” which measured 5,000 Roman feet.

We have given,

A camper traveled 80 miles to a destination for recreation before doing a 4-mile stroll through the woods. The camper's speed while driving was ten times that of the hiker. Three hours were spent driving and hiking together.

We have to determine the camper's hiking speed.

We know that,

Let x represent the increasing rate and 10x represent the driving rate

Time equation is

80/10x + 4/x = 3

Simplify

8/x + 4/x = 3

12/x = 3

x = 12/3

x = 4

Therefore, Driving is done at a 40 mph speed when a camper traveled 80 miles to a destination for recreation before doing a 4-mile stroll through the woods.

Hence, the rate of hiking is 4 miles per hour.  The rate of driving is 40 miles per hour.

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Answer: No mistake

It seems that there are not any problems with these steps.

The probability that the second is a club, given that the first is not a club is  0.1911

According to the question,

We have a ordinary deck

An ordinary deck contain 52 cards

Number of club an ordinary have = 13

Let the first event of not getting a club at first draw be "A"

and "B" for getting a club at second draw

P( not getting a club) = P(A) = 1 - P(getting a club)

=> 1 - 13/52

=> 39/52

Now , We are drawing card without replacement

Number of cards we have after first draw = 51

P(getting a club) = P(B) = 13 / 51

The probability that the second is a club, given that the first is not a club

P(A).P(A)=> 39/52 . 13/51

=> 507/2652

=> 0.1911

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The smoothing constant is the correct option.

What is exponential smoothing?

The exponential window function is a general method for smoothing time series data known as exponential smoothing. Exponential functions are used to assign weights that decrease exponentially over time, as opposed to the simple moving average, which weights previous observations equally.

Forecasts using exponential smoothing are precise.

This method generates reliable and accurate forecasts that anticipate the following period.

Demand projections and actual demand are shown in the forecast. This makes it possible to effectively plan for demand, which leads to accurate inventory levels.

In exponential smoothing,  the higher the smoothing constant, the greater is the weight assigned to the values from the most recent  period.

Hence, the smoothing constant is the correct option.

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Answer:

Step-by-step explanation:

you have to use the vertex

The solution of the inequality will be;

⇒ 5.5 ≤ x

What is Inequality?

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

The inequality is,

⇒ 10 ≤ 2x - 1

Now,

Since, The inequality is,

⇒ 10 ≤ 2x - 1

Hence, Solve the inequality as;

⇒ 10 + 1 ≤ 2x - 1 + 1

⇒ 11 ≤ 2x

⇒ 5.5 ≤ x

Thus, The solution of the inequality will be;

⇒ 5.5 ≤ x

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The vertices of a regular decagon can only ever give rise to a maximum of zero scalene triangles at any one time.

Generally, An isosceles triangle has two sides with the same length. There are 10 ways to choose the vertex that is common to the two equal sides, and for each of these choices, there are 5 ways to choose the other two vertices (since they must be distinct from the first). Therefore, there are a total of

10* 5*5=250 isosceles triangles.

To get the final count of scalene triangles, we use the principle of inclusion-exclusion by subtracting the number of isosceles triangles from the total number of triangles.

This gives us a final count of 120-250=-130.

However, since we cannot have a negative number of triangles, the final answer is 0.

Therefore, there are 0 scalene triangles that can be formed from the vertices of a regular decagon.

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The complete Question was not found

If many random samples of size 30 are selected from the population of all customers, approximately 90% of the constructed intervals would capture the true mean time it takes for her employees to mow a lawn.

Thus, option (D) is correct.

A confidence interval represents a range of values that is likely to contain the true population parameter with a certain level of confidence.

The 90% confidence interval (40 to 55 minutes) suggests that if repeatedly take random samples of size 30 from the population and construct confidence intervals, about 90% of those intervals would contain the true mean time.

The confidence level gives us a measure of how confident we are in the estimate, indicating that in the long run, approximately 90% of the constructed intervals would capture the true mean time it takes for her employees to mow a lawn.

Thus, option (D) is correct.

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Answer:

Jordan worked 18 hours lifeguarding and 15 hours walking dogs.

Step-by-step explanation:

To solve this problem, we can set up a system of two equations to represent the given information. Let "L" represent the number of hours Jordan worked lifeguarding and "W" represent the number of hours he worked walking dogs.

The first equation will represent the total amount of money Jordan earned:

13L + 10W = 177

The second equation will represent the difference in hours between the two jobs:

L - W = 3

We can solve this system of equations using either substitution or elimination.

Using substitution, we can solve for one variable in terms of the other and substitute that expression into the other equation to solve for the other variable.

Solving the second equation for L, we get:

L = W + 3

Substituting this expression for L into the first equation, we get:

(W + 3) + 10W = 177

Combining like terms, we get:

11W + 3 = 177

Subtracting 3 from both sides, we get:

11W = 174

Dividing both sides by 11, we get:

W = 15.818181818181818

Since the number of hours worked must be a whole number, we can round down to 15 hours. Substituting this value back into the equation L = W + 3, we get:

L = 15 + 3 = 18

Therefore, Jordan worked 18 hours lifeguarding and 15 hours walking dogs.

The statement that characterizes the outcome of the game is option d;

All of the above are correct.

Given,

The statements;-

a. Both Firm A and Firm B have a dominant strategy to advertise.

b. There is a Nash equilibrium when both firms advertise.

c. Although both firms collectively would earn higher profits by maintaining the agreement not to advertise, self-interest will cause each firm to break the agreement.

d. All of the above are correct

We have to find the correct statement that characterize the outcome of this game.

Here,

All the statement will characterize the outcome of this game. So correct answer is option d, All of the above are correct

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The value obtained for new correlation will be 0.1

What is Correlation ?

Correlation is a term which is used in statistics. It is a statistical measure that indicates the range to which the two or more variables fluctuate together.

There are mainly two type of correlation that is positive correlation in which variables increase or decrease partially in negative correlation if one variable  is increases then other decreases

Given :

n = 15 pairs

r = 0.20

According to the Question , If each of the X values is multiplied by 2

The value obtained for new correlation will be  [tex]r = \frac{0.2}{2}[/tex] =  0.1

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The propagated error in computing the area of the square is 6.01 cm

According to the question,

It is given that Length of side of square was found = 30cm

The possible error in measurement = 0.1cm

So, the length will be 30 + 0.1cm or 30 - 0.1cm

As we know that

Area of the square : A = x²

Where x is side of square

The differential of this equation =

=> dA/dx = 2x --------(1)

If dx is the error of the side length of the square

dA = 2(30)(0.1)

=> dA = 6

Therefore , The propagated Error = ΔA = (x + Δx)² - x²

=> (30 + 0.1)² - (30)²

=> 906.01 - 900

=>  6.01

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Probability in that a survey of 250 people ,at most 155 people support such cuts is 0.62.

What is probability?

The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a proposition to be true. A number between 0 and 1 is the probability of an event, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.

Given:

If 60% of the population supports massive federal budget cuts.

We have to find the probability in that a survey of 250 people, at most 155 people support such cuts.

So, the probability is, 155 / 250 = 0.62

Hence, probability in that a survey of 250 people ,at most 155 people support such cuts is 0.62.

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Answer:

dependent

Step-by-step explanation:

the probability of 0.697 is dependent upon Kaia scoring an 82, followed by an 85 on the other test

Check:  multiply 0.82 by 0.85 and your will get 0.697

The amount Sally’s share would be;

⇒ $30,000

What is mean by Ratio?

A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y. Where, x and y are individual amount of two quantities. And, Total quantity gives after combine as x + y.

Given that;

John, Sally and Jane form a partnership. They agree to distribute profits using a 2:3:2 ratio.

And, The profits are $70,000.

Now,

Since, The profits are $70,000.

Hence, We get;

⇒ 2x  + 3x + 2x = $70,000

⇒ 7x = $70,000

⇒ x = $10,000

So, The amount of Sally’s share would be;

⇒ 3x = 3 × 10,000

         = $30,000

Thus, The amount Sally’s share would be;

⇒ $30,000

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