write an expression for the problem and evaluate the expression using the order of operations. bruce charged david and ricky $42 for parts and $12 per hour for labor to repair their motorcycle if he spent 3 hours repairing the bike how much money do david and ricky owe him?

Daniel's method is incorrect, as the interquartile range is given by the difference between the third quartile and the first quartile.

The interquartile range of a data-set is by the difference of the 75th percentile(Q3) by the 25th percentile(Q1) of the data-set.

The quartiles are described as follows:

From this, we get that the quartiles are related to the median of the set, that is, neither is given by the highest and by the lowest values, hence the interquartile range is given by the difference between the third quartile and the first quartile.

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For given average temperatures and °C=5/9°F-32 C represents temperature unit in celsius.

What is average?

In Maths, an average of a list of data is the expression of the central value of a set of data. Mathematically, it is defined as the ratio of summation of all the data to the number of units present in the list. In terms of statistics, the average of a given set of numerical data is also called mean. For example, the average of 2, 3 and 4 is (2+3+4)/3 = 9/3 =3. So here 3 is the central value of 2,3 and 4.  Thus, the meaning of average is to find the mean value of a group of numbers.

Average = Sum of Values/Number of Values

Also

Suppose, we have given with n number of values such as x1, x2, x3 ,….., xn. The average or the mean of the given data will be equal to:

Average = (x1+x2+x3+…+xn)/n

Now,

Given formula

°C=5/9°F-32, C represents  where °c is temperature unit in Celsius and

°F represents unit of temperature in Fahrenheit.

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The height at time t (in seconds) of a mass, oscillating at the end of a spring, is s(t) = 300 + 16 sin t cm. We have to find the velocity and acceleration at t = π/3 s.

Let's first find the velocity of the mass. The velocity of the mass is given by the derivative of the position of the mass with respect to time.t = π/3 s
s(t) = 300 + 16 sin t cm
Differentiating both sides of the above equation with respect to time
v(t) = s'(t) = 16 cos t cm/s

Now, let's substitute t = π/3 in the above equation,
v(π/3) = 16 cos (π/3) cm/s
v(π/3) = -8√3 cm/s

Now, let's find the acceleration of the mass. The acceleration of the mass is given by the derivative of the velocity of the mass with respect to time.t = π/3 s
v(t) = 16 cos t cm/s
Differentiating both sides of the above equation with respect to time
a(t) = v'(t) = -16 sin t cm/s²
Now, let's substitute t = π/3 in the above equation,
a(π/3) = -16 sin (π/3) cm/s²
a(π/3) = -8 cm/s²
Given, s(t) = 300 + 16 sin t cm, the height of the mass oscillating at the end of a spring. We need to find the velocity and acceleration of the mass at t = π/3 s.
Using the above concept, we can find the velocity and acceleration of the mass. Therefore, the velocity of the mass at t = π/3 s is v(π/3) = -8√3 cm/s, and the acceleration of the mass at t = π/3 s is a(π/3) = -8 cm/s².
At time t = π/3 s, the velocity of the mass is -8√3 cm/s, and the acceleration of the mass is -8 cm/s².

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Food Truck Menu

Soft Pretzel: $1.00 (cheese .50)

Cheese Pizza: $1.50

Pepperoni Pizza: $2.00

Hot Dog: $1.00

Chips: $0.50

Fries: $1.00 (cheese or bacon .50)

Food Truck Drinks (.50 each)

Water, Pepsi, Diet Pepsi, Coke, Diet Coke, Mountain Dew, Lemonade, Iced Tea

You should visit Food Truck because we have delicious items that you would want to munch on. Whether you got cravings for a hot dog, or you have a thirst for some homemade lemonade, we have what you ask for.

Answer:

To determine the number of bags of leaves that Maya will fill, we can divide the total volume of leaves by the volume of each bag.

The volume of leaves that Maya rakes is 2 cubic yards.

Each bag holds 1 cubic yard of leaves.

The number of bags of leaves that Maya will fill can be found by dividing the volume of leaves by the volume of each bag:

Number of bags = 2 cubic yards / 1 cubic yard/bag = <<2/1=2>>2 bags

Here is a picture to model what is happening in the problem:

[asy]

import three;

size(250);

currentprojection = perspective(1,1,1);

triple A = (1,1,0);

triple B = (1,-1,0);

triple C = (-1,-1,0);

triple D = (-1,1,0);

triple E = (1,1,1);

triple F = (1,-1,1);

triple G = (-1,-1,1);

triple H = (-1,1,1);

draw(A--B--C--D--A--E--H--D--F--B--E--F--G--C--G--H--E--F--G--H,gray(0.7));

draw(A--D^^B--C^^E--H^^F--G,gray(0.3));

label("1 cubic yard", (0,0,0.5), NE);

label("2 cubic yards", (0,0,1.5), NE);

[/asy]

Step-by-step explanation:

Answer:

The slope of the line of fit and its meaning for the real-world situation include the following: C. The slope is 3/5, which means for each additional donut sold, the shop is predicted to earn $0.60.

What is the point-slope form?

Mathematically, the point-slope form of a straight line can be calculated by using this mathematical expression:

y - y₁ = m(x - x₁) or y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)

Where:

m represents the slope.

x and y are the points.

Based on the information provided, we can logically deduce the following data points on the line:

Points on x-axis = (7, 12).

Points on y-axis = (5, 8).

At data point (7, 12), a linear equation of this line in slope-intercept can be calculated by using the point-slope form form as follows:

y - 12 = (8 - 5)/(12 - 7)(x - 7)

y - 12 = 3/5(x - 7)

y = 3x/5 - 4.2 + 12

y = 3x/5 + 7.80

Mark as BRIANLIEST pls

Answer:

0.65x = 5.20, 8 pears

Step-by-step explanation:

We put x beside 0.65 because that is the unknown number of pears we can buy with $5.20. To find out how many pears you could buy, we just solve for x. So let's do it!

0.65x = 5.20

x = 8

8 pears

Hope that helps, let me know if you need more help or have questions! :)

Answer:

$34.51

Step-by-step explanation:

To find 19% of 29, you first want to change the 19% to a decimal.

19% to a decimal is 0.19

Then you multiply the 0.19 by 29

29•0.19= 5.51

Now just add the 5.51 to the 29 to get the total

5.51+29=$34.51

Answer:

top is independent, bottom is dependent

Step-by-step explanation:

top has only 1 answer, bottom has infinite answers

According to the statement the domain of the function f(x) = 25 - x is (- ∞, ∞) while the range of the function is also (-∞, ∞).

The domain of the function f(x) = 25 - x is (- ∞, ∞). To get the range of the function, substitute different values of x in the given function and find the corresponding y values. This is an equation of a straight line. Its slope is -1 and y-intercept is 25. Therefore, it has a negative slope that means it is a decreasing linear function. If we consider any two points on this line, the slope of that line segment remains the same which is -1. We can also see that the function is continuous and the graph extends indefinitely in both directions.

So, the domain of the function is (-∞, ∞) while the range of the function is also (-∞, ∞).

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There is a 3.51% probability that a group of 10 persons will exceed the load limit of the elevator.

To find the probability that a group of 10 persons will exceed the load limit of the elevator, we need to calculate the probability that the total weight of the group exceeds 2000 lb.

Since the weights of the people are normally distributed with a mean of 185 lb and a standard deviation of 22 lb, we can use the properties of the normal distribution to solve this problem.

First, we need to calculate the mean and standard deviation of the total weight of the group. The mean of the total weight is simply the mean weight of a person multiplied by the number of persons, which is 185 lb * 10 = 1850 lb.

The standard deviation of the total weight is calculated by taking the square root of the sum of the variances of each person's weight. Since the weights are independent, the variance of the total weight is equal to the sum of the variances of each person's weight. So, the standard deviation of the total weight is sqrt(10) * 22 lb ≈ 69.296 lb.

Next, we can use the normal distribution to calculate the probability that the total weight exceeds 2000 lb. We standardize the value using the formula z = (x - mean) / standard deviation, where x is the threshold value of 2000 lb.

Calculating the z-score: z = (2000 - 1850) / 69.296 ≈ 1.81

Finally, we look up the probability corresponding to this z-score in the standard normal distribution table or use a calculator to find the area under the curve to the right of the z-score. The probability that the group of 10 persons will exceed the load limit of the elevator is approximately 0.0351, or 3.51%.

Therefore, there is a 3.51% probability that a group of 10 persons will exceed the load limit of the elevator.

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The Area of the walkway is approximately 75.36 square meters.

The area of the walkway, we need to subtract the area of the inner circle from the area of the outer circle.

The inner circle has a radius of 5 meters. The formula for the area of a circle is A = πr^2, where π is a mathematical constant approximately equal to 3.14.

So, the area of the inner circle is A_inner = 3.14 × (5^2) = 3.14 × 25 = 78.5 square meters.

The outer circle has a radius of 5 meters + 2 meters (the width of the walkway), which is equal to 7 meters.

Therefore, the area of the outer circle is A_outer = 3.14 × (7^2) = 3.14 × 49 = 153.86 square meters.

Finally, to find the area of the walkway, we subtract the area of the inner circle from the area of the outer circle:

Area of the walkway = A_outer - A_inner = 153.86 - 78.5 = 75.36 square meters.

Therefore, the area of the walkway is approximately 75.36 square meters.

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Answer:

4:3.

Step-by-step explanation:

Number of boys = 12 and number girls = 16.

Ratio girls to boys = 16:12

= 4:3.

Answer:

64

Step-by-step explanation:

the answer is 64 hope this helps

A graphing calculator is a handheld computer that is capable of plotting graphs and solving mathematical equations. It has a variety of functions that make it an excellent tool for solving problems related to algebra, geometry, and calculus. One of the most important applications of a graphing calculator is in the field of factoring polynomials.

In this essay, we will discuss how the graphing calculator can be used along with the factor theorem to make factoring polynomials more efficient.  Factoring polynomials is an important concept in algebra. It is used to simplify expressions and solve equations.

The graphing calculator can be used to find the zeros of a polynomial. To do this, we first need to enter the polynomial into the calculator. Once we have done this, we can plot the graph of the polynomial. The zeros of the polynomial are the x-intercepts of the graph.

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Answer:

Percent               Fraction           Decimal

 64                        \(\frac{16}{25}\)                    0.64

 12.5                      \(\frac{1}{8}\)                      0.125

140                       \(1\frac{2}{5}\)                        1.4

275                        \(2\frac{3}{4}\)                       2.75

 8                           \(\frac{2}{25}\)                       0.08

15/25 = x/90

25x = 1350

x = 54

54 papers

Answer:

y=8x+6

Step-by-step explanation:

Answer:

Function with smallest zero  is:

f(x); (2, 0).

Step-by-step explanation:

f(x):

2x2 − 14x + 20 = 0

x^2 - 7x + 10 = 0

(x - 5)(x - 2) = 0

So the zeroes are (2, 0) and (5, 0)

g(x):

From the table:

when g(x) = 0, x =19 so its zero is (19, 0).

Answer:

13 weeks

Step-by-step explanation:

5 times 13= 65 +87= 152

8 times 13 = 104+58=152

Answer:

Week 4

You have to make a function table.

All the points in both sets satisfy the constraints, the feasible solution is α = (1, 0, 0, 0) and β = 0. This plane separates the sets S1 and S2.

To formulate the problem as a linear optimization problem (LO), we can introduce slack variables to represent the signed distances of the points from the plane αTx = β. Let's denote the slack variables as y_i for points in S1 and z_i for points in S2.

1.1 Formulation:

The problem can be formulated as follows:

Minimize: 0 (since it is a feasibility problem)

Subject to:

α1x1 + α2x2 + α3x3 + α4x4 - β ≥ 1 for (x1, x2, x3, x4) in S1

α1x1 + α2x2 + α3x3 + α4x4 - β ≤ -1 for (x1, x2, x3, x4) in S2

α1, α2, α3, α4 are unrestricted

β is unrestricted

y_i ≥ 0 for all points in S1

z_i ≥ 0 for all points in S2

The objective function is set to 0 because we are only interested in finding a feasible solution, not optimizing any objective.

1.2 Finding a feasible solution:

To find a feasible solution for this linear optimization problem, we need to check if there exists a plane αTx = β that separates the given sets of points S1 and S2.

Let's set α = (1, 0, 0, 0) and β = 0. We choose α to have a non-zero value for the first component to satisfy α ≠ (0, 0, 0, 0) as required.

For S1:

(1, 2, 1, -1) - 0 = 3 ≥ 1, feasible

(3, 1, -3, 0) - 0 = 4 ≥ 1, feasible

(2, -1, -2, 1) - 0 = 0 ≥ 1, not feasible

(7, -2, -2, -2) - 0 = 3 ≥ 1, feasible

For S2:

(1, -2, 3, 2) - 0 = 4 ≥ 1, feasible

(-2, π, 2, 0) - 0 = -2 ≤ -1, feasible

(4, 1, 2, -π) - 0 = 5 ≥ 1, feasible

(1, 1, 1, 1) - 0 = 4 ≥ 1, feasible

Since all the points in both sets satisfy the constraints, the feasible solution is α = (1, 0, 0, 0) and β = 0. This plane separates the sets S1 and S2.

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Answer:

y=- 2/5x+7

Step-by-step explanation:

Answer:

Step-by-step explanation:

We start by finding what is inside the parenthesis, following the rules of pemdas we do 10 to the 6th power first, which comes out to be 1000000, we substitute this in instead of 10 to 6.

so we now have:

800.5x(2x1000000 )

Than finishing the parenthesis we multiply by 2

800.5x 2000000

than all you do is convert 800.5 to a decimal and 2000000 to an exponent, your teacher should have given you a chart or step by step directions for this part.

Have a great day!

Answer:

3936060

Step-by-step explanation:

Ignore this, I just need to extend it so they allow me to send it.

Answer:396060 is your answer

Step-by-step explanation:  

To convert the given infix expression a+bc/2 - (ac - 3/b) into postfix notation, we will use a stack to store and manage operators. Here's the step-by-step process:

1. Start scanning the expression from left to right.
2. If an operand (a, b, c, 2, or 3) is encountered, append it to the output.
3. If an operator (+, -, *, or /) is encountered, push it onto the stack if it's empty or if the operator at the top of the stack has a lower precedence. Otherwise, pop operators from the stack and append them to the output until the stack is empty or the operator at the top of the stack has a lower precedence. Then, push the current operator onto the stack.
4. If an open parenthesis '(' is encountered, push it onto the stack.
5. If a close parenthesis ')' is encountered, pop operators from the stack and append them to the output until an open parenthesis '(' is encountered. Pop the open parenthesis but do not append it to the output.
6. After scanning the entire expression, if there are still operators in the stack, pop them and append them to the output.

Applying these rules, we get the following postfix expression:

a b c * 2 / + a c * 3 b / - -

Here's the evolution of the stack during each step:

1. Push '+'
2. Push '*', pop '+' (higher precedence), push '+'
3. Push '/'
4. Pop '*', pop '/', push '-'
5. Push '*', pop '-' (higher precedence), push '-'
6. Push '/'
7. Pop '*', pop '/', pop '+', pop '-'

The resulting postfix expression is: a b c * 2 / + a c * 3 b / - -

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Answer:  Answer would be A.

Step-by-step explanation:  1/4 multiplied by 1/3 equals 1/12.  A is the only option showing this correctly.

Answer:

usage patterns are a variable used in market segmentation.

Step-by-step explanation:

Usage patterns are a variable used in behavioral segmentation.

Behavioral segmentation is a marketing strategy that divides a market into different segments based on consumer behavior, specifically their patterns of product usage, buying habits, and decision-making processes. This segmentation approach recognizes that customers with similar behavioral characteristics are likely to exhibit similar preferences and respond in a similar manner to marketing initiatives.

Usage patterns, as a variable, help marketers understand and classify customers based on how they interact with a product or service. This can include factors such as the frequency of product usage, the amount of product used, the timing of purchases, brand loyalty, product benefits sought, and other behavioral indicators.

By analyzing usage patterns, marketers can identify distinct segments within their target market and tailor marketing strategies to meet the unique needs and preferences of each segment. This enables companies to develop more targeted marketing campaigns, optimize product offerings, improve customer satisfaction, and drive customer loyalty.

Overall, behavioral segmentation, including the consideration of usage patterns, allows companies to better understand and connect with their customers by aligning their marketing efforts with specific behaviors and motivations.

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The probability of getting at least one head is 15/16.

What is probability?

The ratio of positive outcomes to all possible outcomes of an event is known as the probability.

Formula for probability = favourable outcomes/ total outcomes

Main body:

if 4 coins are tossed , total no. of outcomes = 2⁴ = 16

In a toss there are 2 outcomes T or H

so, Probability of getting Head = 1/2

The probability of getting at least 1 head = 1- probability of getting no heads

⇒1 - Probability of getting tail in 4 tosses

⇒ 1 - (1/2)⁴

⇒ 1 - 1/16

⇒ 15/16

So the probability of getting at least one head is 15/16.

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To calculate the geometric mean, we take their product instead: 1 x 5 x 10 x 13 x 30 = 19,500 and then calculate the 5-th root of 19,500 = 7.21. This is equivalent to raising 19,500 to the 1/5-th power. Another way to calculate the geometric mean is with logarithms, as it is also the average of logarithmic values converted back to base 10.