The diameter of a tire is 2.5 ft. Use this measurement to answer parts a and b. Show all work to receive full credit. Draw a picture to help solve the problem and remember to use 3.14 for pi. Find the circumference of the tire. Round your answer to the nearest whole number. About how many times will the tire have to rotate to travel 1 mile

The equation for breaking even is, 2x + 15 = 5x.

We have, Sandra makes and sells bracelets. It costs her $2 to make each bracelet, plus a one-time cost of $15 for supplies. She plans to sell each bracelet for $5.

Therefore we have,

The number of bracelets that Sandra needs to sell in order to break even can be solved by equating the total cost to her total revenue.

If the x represents the number of bracelets,

The total cost would be, 2x + 15.

Her total revenue from sales is expressed as 5x.

Thus, the equation for breaking even is,

                                       2x + 15 = 5x

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The solution of the quadratic equation is x=5±√35 .

A quadratic equation is given by the equation which can be written in the form ax²+bx +c.

the given quadratic equation is :

x²-10x+25=35

Simplifying the equation we get:

or, x²-10x+25-35=0

or, x²-10x-10=0

Now we will solve the equation by completion squares method:

x²-10x-10=0

or, x²-2×x×5+5²-5²-10=0

or, (x-5)²=35

or, x-5=±√35

or, x= 5±√35

Therefore the solution of the quadratic equation is 5+√35 and 5-√35 .

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a) The probability of randomly selecting 4 males out of 7 spectators, given that 70% of the spectators are males, can be calculated using the binomial probability formula.

b) To find the probability that at most 5 of the randomly selected spectators are females, we need to calculate the cumulative probability of selecting 0, 1, 2, 3, 4, and 5 females from the total number of selected spectators.

a) To calculate the probability of selecting 4 males out of 7 spectators, we can use the binomial probability formula:

P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)

Where:

- n is the total number of trials (number of people selected)

- k is the number of successful trials (number of males selected)

- p is the probability of success in a single trial (probability of selecting a male)

- C(n, k) is the binomial coefficient, calculated as C(n, k) = n! / (k! * (n - k)!)

In this case, n = 7, k = 4, and p = 0.70 (probability of selecting a male). Therefore, the probability of selecting 4 males out of 7 spectators is:

P(X = 4) = C(7, 4) * (0.70)^4 * (1 - 0.70)^(7 - 4)

b) To find the probability that at most 5 of the selected spectators are females, we need to calculate the cumulative probability of selecting 0, 1, 2, 3, 4, and 5 females. This can be done by summing the individual probabilities for each case.

P(X ≤ 5 females) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)

To calculate each individual probability, we use the same binomial probability formula as in part a), with p = 0.30 (probability of selecting a female).

Finally, we sum up the probabilities for each case to find the probability that at most 5 of the selected spectators are females.

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Answer:

False

Step-by-step explanation:

68% falls between the first standard deviation from the mean.

plus minus two would fall under 95%

Answer:

An even function is symmetric about the y-axis. An odd function is symmetric about the origin. As the graphed function is neither symmetric about the origin, nor symmetric about the y-axis, it is neither even nor odd.

Step-by-step explanation:

Even and odd functions are special types of functions.

An even function is symmetric about the y-axis. An odd function is symmetric about the origin. As the graphed function is neither symmetric about the origin, nor symmetric about the y-axis, it is neither even nor odd.

The numerator for the rational expression is 6

Let us assume the value of numerator to be x

\(\frac{2}{f} +\frac{4}{f} = \frac{x}{f}\)

Since these are fractions with same denominators (like fractions),

\(= > \frac{2}{f} +\frac{4}{f} \\\\ = \frac{2 +4}{f}\\\\= \frac{6}{f}\)

x = 6

The numerator for the rational expression is 6

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Answer:

Ummmm its just a black screen

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

subtract 3

input and output always input should be your first one.

So, 6-3=3  7-3=4  8-3=5

9-3=6 10-3=7

Hope this helps u:)

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Answer:

$13.32

Step-by-step explanation:

Half a pound cheese is $1.99.

3.98 / 2 = 1.99

2 pounds of cheese is $7.96

3.98 x 2 = 7.96

2 1/2 pounds of cheese is $9.95

3.37  = 9.95 = 13.32

The total money spent a box of crackers for $3.37 and 2.5 pounds of cheese is $13.32.

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have one pound of cheese of cost $3.98. You bought a box of crackers for $3.37 and 2.5 pounds of cheese.

Assume that the total money spent is $x. Then we can write the equation for [n] pounds of cheese as -

x = 3.98n + 3.37

For n = 2.5, we can write -

x = 3.98 x 2.5 + 3.37

x = 13.32

Therefore, the total money spent a box of crackers for $3.37 and 2.5 pounds of cheese is $13.32.

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A major disadvantage of correlations is that they cannot make a cause-and-effect statement.

Correlations are statistical measures that describe the size and direction of a relationship between variables.

Correlations are expressed as numbers. Correlations establish that relationships exist but do not explain if the change in one variable is caused by the change in another variable's value.

The disadvantages of correlations include:

Thus, a major disadvantage of correlations is that they cannot make a cause-and-effect statement.

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Answer:

Step-by-step explanation:

factors of 8

Answer:

F- of a 8* i think

Step-by-step explanation:

(a) The smallest positive value of n for which a simple graph on n vertices and 2n edges can exist is 3. An example of such a graph for the smallest n is a triangle, where each vertex is connected to the other two vertices.

In this case, we have 3 vertices and 2n = 2 * 3 = 6 edges, which satisfies the condition.

To determine the smallest positive value of n, we need to consider the conditions for a simple graph:

1. Each vertex must be connected to at least one other vertex.

2. There should be no multiple edges between the same pair of vertices.

3. There should be no self-loops (edges connecting a vertex to itself).

Considering these conditions, we start by trying with the smallest possible n, which is 3. We construct a graph with 3 vertices and connect each vertex to the other two vertices, resulting in a triangle. This graph satisfies the conditions and has 2n = 2 * 3 = 6 edges.

(b) To prove that G is connected, we will use a proof by contradiction.

Assume that G is not connected, meaning it has two or more components. Let's consider two distinct components, C1 and C2.

Since G has at most two components, each component can have at most 10 vertices (20 vertices / 2 components). Let's assume C1 has x vertices and C2 has y vertices, where x + y ≤ 20.

Now, let's consider two vertices u and v, where u belongs to C1 and v belongs to C2. According to the given condition, deg(u) + deg(v) > 19.

Since deg(u) represents the degree of vertex u, it means the number of edges incident to vertex u. Similarly, deg(v) represents the degree of vertex v.

In C1, the maximum possible degree for a vertex is x - 1 (since there are x vertices, each connected to at most x - 1 other vertices in C1). Similarly, in C2, the maximum possible degree for a vertex is y - 1.

Therefore, deg(u) + deg(v) ≤ (x - 1) + (y - 1) = x + y - 2.

But according to the given condition, deg(u) + deg(v) > 19. This contradicts the assumption that G has at most two components.

Hence, our assumption that G is not connected is false. Therefore, G must be connected.

In conclusion, if a simple graph G has 20 vertices, at most two components, and every pair of distinct vertices satisfies the inequality deg(u) + deg(v) > 19, then G is connected.

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Answer: $581

Step-by-step explanation:

given data:

Hours worked weekly(hrs) = 40

wages = $14/hr

Amount earned for overtime = 1.5 times of his hourly pay.

Solution

Amount earned for overtime

= 1.5 * $14

= $21

Amount Roberts earns in a week

= $14 * 40 + $21

= $560 + $21

= $581

Answer:

Weekly earning = 560 + 21h

Step-by-step explanation:

Given the following :

Regular Pay = $14 per hour

Work hour = atleast 40 hours per week

Overtime pay = 1.5(regular pay)

If overtime hour = h

Robert's weekly earning :

Regular pay * 40 + (overtime * 1.5(regular pay))

$14 * 40 + (h * 1.5(14))

560 + 21h

Hence,

Weekly earning = 560 + 21h

The regression model using both independent variables is  y = 1 3.5734 + 0.9496x₁ - 0.4001x₂

To construct a regression model using both independent variables, we can use multiple regression analysis.

In this case, we have two independent variables (x₁ and x₂) and one dependent variable (y).

The regression equation is:

y = b₀ + b₁x₁ + b₂x₂

Where y is the dependent variable, x₁ and x₂ are the independent variables, b₀ is the intercept, b₁ is the coefficient of x₁, and b₂ is the coefficient of x₂.

The coefficients (b₁ and b₂) represent the change in the dependent variable for a one-unit increase in the independent variable, while holding all other independent variables constant.

Using the given data, we can input the values of y, x₁, and x₂ into the software to estimate the coefficients of the regression equation.

=>  y = 1 3.5734 + 0.9496x₁ - 0.4001x₂

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Complete Question:

Consider the following set of dependent and independent variables.

y 10 11 14 14 20 24 26 32

x₁ 1 5 5 9 7 12 15 21

x₂ 17 11 13 11 2 8 6 4

Using technology, construct a regression model using both independent variables.

Answer:

40 cm²

Step-by-step explanation:

A = 1/2bh

A = 1/2 (8) (10)

A = (4) (10)

A = 40

Probability is the likelihood or chance of an event occurring.

In the given grid, there are 4 black points out of a total of 9 points.

Therefore, the probability of selecting a black point randomly is:

P(black) = Number of black points / Total number of points

= 4 / 9

= 0.444 or 44.4% (rounded to one decimal place)

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Answer:

The family should budget $73.50 for 21 gallons of gasoline.

Answer:

B. 9, 4, -1, -6, -11, -16, ...

Step-by-step explanation:

An arithmetic sequence is when there is a constant difference between terms. And in this case if you count the spaces in between each number, you get that each one is less than the last by 5. Whereas the other ones change constantly.

The sequence 9, 4, -1, -6, -11, -16, ... has same common difference. Therefore, option B is the correct answer.

An arithmetic sequence is a sequence of numbers where the differences between every two consecutive terms is the same. The general form an arithmetic sequence is aₙ=a+(n-1)d.

A) 0, 3, 8, 15, 24, 35, ...

Here, common difference is 3-0=3, 8-3=5, 15-8=7.....

Common difference is not same, so the set of numbers are not in arithmetic sequence.

B) 9, 4, -1, -6, -11, -16, ...

Common difference is 4-9=-5, -1-4=-5, -6-(-1)=-5

Common difference is same, so the set of numbers are in arithmetic sequence.

C) 1, 3, 6, 10, 15, 21, ...

Common difference is 3-1=2, 6-3=3, 10-6=4

Common difference is not same, so the set of numbers are not in arithmetic sequence.

D) -1,0,1,0,3, 0, ...

Common difference is 0-(-1)=1, 1-0=1, 0-1=-1

Common difference is not same, so the set of numbers are not in arithmetic sequence.

Therefore, option B is the correct answer.

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Answer:

The yard in the drawing is 18 feet long

Step-by-step explanation:

The computation of the long yars in the following is as follow:

Given that

Scale used be 1 inch : 3 feet

And, the actual length is 54 feet

So, the long it would be

= 54 feet ÷ 3 feet

= 18 feet

Hence, The yard in the drawing is 18 feet long

The height of the flag pole which is described as in the task content is; 8.2m.

The horizontal distance between the 6m house and the flagpole in discuss can be evaluated by means of the angle of depression and trigonometric identity, tan as follows;

tan 22° = 6/x

x = 6/tan 22 = 14.9m.

Consequently, the horizontal distance from the top of the house to the top of the flagpole is therefore;

tan 9° = y/14.9

y = 14.9 tan 9° = 2.2m

Ultimately, the height of the flagpole is; 6+2.2 = 8.2m.

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By exploring the behavior of the tangent line at different intervals, the shape and behavior of the curve 8x², the slope is 16.

The tangent line to a curve is a straight line that just touches the curve at a single point, without crossing over it. The slope of the tangent line at that point is equal to the rate of change of the curve's slope at that point.

In the case of the curve 8x², we can find the tangent line at different points by using calculus. Calculus provides us with tools to find the slope of the curve, and from that, the equation of the tangent line.

So, to find the tangent line at a point on the curve

=> 8x²,

we need to find the derivative of the curve and evaluate it at the point of interest.

The derivative of

=> 8x² = 16x,

so the slope of the tangent line at any given point x is 16x.

To find the equation of the tangent line, we also need to know the y-coordinate of the point where the line touches the curve.

We can use this information to write the equation of the tangent line in the form y = mx + b, where m is the slope and b is the y-intercept.

Then the value of slope is 16.

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Answer:

14 oz of Doritos for $2.50

Step-by-step explanation:

Divide the oz by the price to get how much one ounce is per bag.

2.5/14 = .179

- this means that each ounce in this bag costs $0.179

3.00/22 = .181

- this means that each ounce in this bag costs $0.181

although there is not a very big difference, the 14 oz of Doritos of $2.50 is a better value.

The final equation is y =x-1.

To find the line that satisfies the given, we will use the two-point form

     \(y - y_{1} = \frac{y_{2} - y_{1} }{x_{2} - x_{1} } (x - x_{1} )\)

Before we use this, however, we need to assign to the points given the variables they represent:

(-1, -2) and (4, 3)

\(x_{1} = -1\)

\(x_{2} = 4\)

\(y_{1} = -2\)

\(y_{2} = 3\)

Now, we will substitute these values

                     \(y - y_{1} = \frac{y_{2} - y_{1} }{x_{2} - x_{1} } (x - x_{1} )\)

                 ⇒   \(y - (-2) = \frac{3 - (-2) }{4-(-1) } (x -(-1) )\)

                 ⇒  \(y +2 = \frac{3 +2 }{4 +1 } (x +1 )\)

                  ⇒    \(y +2 = \frac{5 }{5 } (x +1 )\)

                  ⇒  \(y +2 = x +1\)

                   ⇒    \(y = x -1\)

Thus, the final equation is y =x-1.

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Answer: C. 51%

Step-by-step explanation:

Answer:

-3=x

Step-by-step explanation:

3(x+4)-5=2x+4

use distributive property to get:

3x+12-5=2x+4

simplify to get:

3x+7=2x+4

subtract 4 from both sides to get:

3x+3=2x

subtract 3x from both sides to  get:

3=-x

multiply both sides by -1 to get your answer:

-3=x

Answer:

okay so basically

6(-12+5)-3(-12) = -6

Step-by-step explanation:

the answer is -6

The value of the error for Z, where x = 5.9 +/- 0.5 and y = 2.1 +/- 0.2, with one decimal place is 4.

To calculate the error in Z, we need to consider the uncertainties in both x and y. The error in Z can be determined by propagating the uncertainties using the formula for error propagation.

In this case, Z is given by the equation Z = x/y. To propagate the uncertainties, we use the formula for relative error:

ΔZ/Z = sqrt((Δx/x)^2 + (Δy/y)^2)

Given the uncertainties Δx = 0.5 and Δy = 0.2, and the values x = 5.9 and y = 2.1, we substitute these values into the formula:

ΔZ/Z = sqrt((0.5/5.9)^2 + (0.2/2.1)^2) = sqrt(0.0089 + 0.0181) ≈ 0.134

Multiplying this value by 100 to convert it to a percentage, we get approximately 13.4%. Rounding to one decimal place, the value of the error is 4.

Therefore, the value of the error for Z, with one decimal place, is 4.

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The value of p, the number of people who visited Venice in January 2019, the least popular month, is 585,168.

To find the value of p, we can set up an equation based on the given information. Let's denote p as the number of people who visited Venice in January 2019, the least popular month.

According to the information given, the most popular month, August, had 1,447,038 visitors. This number is stated to be 2 times the sum of 138,351 and p. We can write this equation as:

2 * (138,351 + p) = 1,447,038

To solve for p, we need to simplify and isolate it.

First, distribute the 2 on the left side of the equation:

276,702 + 2p = 1,447,038

Next, subtract 276,702 from both sides of the equation to isolate 2p:

2p = 1,447,038 - 276,702

2p = 1,170,336

Finally, divide both sides of the equation by 2 to solve for p:

p = 1,170,336 / 2

p = 585,168

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a) The simple harmonic motion of the bobber can be modeled by the equation:

y(t) = A sin(ωt + φ)

where y is the displacement of the bobber from its equilibrium position at time t, A is the amplitude of the oscillation, ω is the angular frequency, and φ is the phase angle.

From the given information, we know that the amplitude A of the oscillation is 1.5 inches and the period T is 3 seconds. The angular frequency is related to the period by the formula:

ω = 2π/T

Substituting the values, we get:

ω = 2π/3

The phase angle φ can be determined from the initial condition that the bobber is at its high point at t = 0. At the high point, the displacement is maximum and positive, so we have:

y(0) = A sin(φ) = A

Substituting the values, we get:

1.5 = 1.5 sin(φ)

Solving for φ, we get:

φ = sin⁻¹(1) = π/2

Substituting the values of A, ω, and φ in the equation for simple harmonic motion, we get:

y(t) = 1.5 sin(2πt/3 + π/2)

b) The midpoint between the high point and the low point of the bobber corresponds to a displacement of 0.5*A = 0.75 inches.

The bobber reaches this point twice during each period, once while going up and once while going down. We need to find the time t when the bobber is going down and reaches the midpoint for the first time.

At the midpoint, the displacement of the bobber is given by:

y(t) = 0.75

Substituting the equation for y(t), we get:

1.5 sin(2πt/3 + π/2) = 0.75

Simplifying, we get:

sin(2πt/3 + π/2) = 0.5

Using the identity sin(π/6) = 0.5, we can rewrite the equation as:

sin(2πt/3 + π/2) = sin(π/6)

The general solution for this equation is:

2πt/3 + π/2 = π/6 + 2πk or 2πt/3 + π/2 = 5π/6 + 2πk

where k is an integer.

Solving for t in each case, we get:

t = (π/18 - π/2)/ (2π/3) + k or t = (5π/6 - π/2)/ (2π/3) + k

Simplifying, we get:

t = 1/4 + k/3 or t = 5/4 + k/3

The first solution corresponds to the time when the bobber is going down and reaches the midpoint for the first time, so we have: t = 1/4 seconds.

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