Kara and her friends have $17 to spend at a pizza parlor.they would like to buy large pizza which costs $12 and then add as many toppings as possible if each topping (t) cost 50cents,which inequality describes the maximum number of toppings that the group can purchase?

Answer:

-70b+22

Step-by-step explanation:

Simplify each term

apply the distributive property

2-10(7b)-10 *2

multiply 7 by -10

2-70b+-10*-2

multiply -10 by -2

2-70b+20

add 2 and 20

-70b+22

Answer:

13.5 hours with 9 logs hope this helps please mark brainleyest

Step-by-step explanation:

a) The histogram for given data is as shown below.

b)From the box and whisker plot we can see that there is no outlier for given data.

c) mean = 47.48

standard deviation = 22.61

IQR = 44

In this question, we have been given the data on the number of contacts for a random sample of 30 elderly adults with smartphones in a large city.

7,20,24,25,25,28,28,30,32,35,42,43,44,45,46,47,48,48,50,51,72,75,77,78,79,83,87,88,13,51,51

a) the histogram for given data is as shown below.

b) From the box and whisker plot we can see that there is no outlier for given data.

c) the mean of the given data is:

m = 47.48

the standard deviation for given data is:

s = 22.61

the First quartile:  

Q1 =  28

the median = 46

the Third quartile:  

Q3 = 72

the Interquartile range:  

IQR = Q3 - Q1

IQR = 72 - 28

IQR = 44

Therefore, for given data:

a)  the histogram for given data is as shown below.

b) there is no outlier for given data.

c) mean = 47.48

standard deviation = 22.61

IQR = 44

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Answer:

To form a right triangle, one of the sides of the triangle must be the hypotenuse and the other two sides must be the legs. The hypotenuse is the longest side of a right triangle and the side opposite the right angle. In this case, the side with length 5x is the hypotenuse. Therefore, the sides with lengths 3x and 24 must be the legs.

We can use the Pythagorean Theorem to determine the value of x that will make this a right triangle. The Pythagorean Theorem states that the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. In this case, we have:

5x^2 = 3x^2 + 24^2

Solving for x, we get:

x = sqrt(24^2/(5^2 - 3^2)) = sqrt(576/16) = 6

Therefore, a value of x = 6 will make this a right triangle.

Step-by-step explanation:

Answer:

Step-by-step explanation:

a)  As long as the slope of the objective function stays between -8/7 and -1/2 the current optimal solution point will remain optimal.                                                                                                                                                                                                                        

b) The objective functions that lead to the same optimal solution are Z = 2X + Y and Z = 25X + 35Y.

a. The binding constraints for the given linear programming problem are 5X + 3Y ≤ 30 and 2X + 5Y ≤ 20. We need to find the range of slope of the objective function for which the current optimal solution point will remain optimal.

First, we graph the two binding constraints on the X-Y plane and find their intersection point as (X, Y) = (3, 3). This is the current optimal solution point.

Next, we need to check the slope of the objective function at this point. Let the objective function be Z = aX + bY. At the optimal solution point, the slope of the objective function is given by -b/a.

For the current optimal solution point (3, 3), we can compute the slope of the objective function for different values of a and b as follows:

When a = 2 and b = 1, the slope of the objective function is -1/2.

When a = 7 and b = 8, the slope of the objective function is -8/7.

When a = 80 and b = 60, the slope of the objective function is -3/4.

When a = 25 and b = 35, the slope of the objective function is -7/5.

Since the binding constraints have negative slopes, we know that the objective function must have a negative slope for an optimal solution to exist. Therefore, the range of slope of the objective function for which the current optimal solution point will remain optimal is between -8/7 and -1/2.

b. To find the objective functions that lead to the same optimal solution, we need to find the objective functions that have the same slope at the current optimal solution point (3, 3). We can compute the slope of each objective function as follows:

For Z = 2X + Y, the slope at (3, 3) is -1/2.

For Z = 7X + 8Y, the slope at (3, 3) is -8/7.

For Z = 80X + 60Y, the slope at (3, 3) is -3/4.

For Z = 25X + 35Y, the slope at (3, 3) is -7/5.

Therefore, the objective functions that lead to the same optimal solution are Z = 2X + Y and Z = 25X + 35Y

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When the red die and the blue die are roll together and the number are recorded the total number of different outcomes possible is 36.

Red die and a blue die are at the same time and the number are recorded.

Red color die can show a total of 6 number from 1 to 6 which are already color.

Similarly the blue color die can show a total of 6 numbers from 1 to 6 which are blue in color.

At any particular time when the dice are rolled any of the number from 1 to 6 can be obtained, as we know that both the dice are thrown so there will be two combinations for the total possible outcomes which will be given by,

Combination = 6 × 6

Combination = 36

So, there are a total of 36 possible outcomes.

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The first term on the left-hand side represents the flux of the quantity D(pu δ) across the cell boundaries, and the second term represents the change of this flux within the cell.

To integrate the 1D steady-state convection-diffusion equation over a typical cell, we can start with the given equation:

D/dx(pu δ) = d/dx (rd δ/dx)

Here, D is the diffusion coefficient, p is the velocity, r is the reaction term, u is the concentration, and δ represents the Dirac delta function.

To integrate this equation over a typical cell, we need to define the limits of the cell. Let's assume the cell extends from x_i to x_i+1, where x_i and x_i+1 are the boundaries of the cell.

Integrating the left-hand side of the equation over the cell, we have:

∫[x_i to x_i+1] D/dx(pu δ) dx = D∫[x_i to x_i+1] d(pu δ)/dx dx

Using the integration by parts technique, the integral can be written as:

= [D(pu δ)]_[x_i to x_i+1] - ∫[x_i to x_i+1] d(D(pu δ))/dx dx

Similarly, integrating the right-hand side of the equation over the cell, we have:

∫[x_i to x_i+1] d/dx (rd δ/dx) dx = [rd δ/dx]_[x_i to x_i+1]

Combining the integrals, we get:

[D(pu δ)][x_i to x_i+1] - ∫[x_i to x_i+1] d(D(pu δ))/dx dx = [rd δ/dx][x_i to x_i+1]

This equation can be further simplified and manipulated using appropriate boundary conditions and assumptions based on the specific problem at hand.

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The percent error in the experimental value of g is option (d) 2.04%. This means that the experimental value of g deviates from the accepted value by 2.04%.

To calculate the percent error, we need to compare the experimental value of g with the accepted value.

Let's assume the experimental value of g is ge and the accepted value is ga.

The formula for percent error is:

Percent Error = |(ge - ga) / ga| * 100

Substituting the given values:

Percent Error = |(ge - 9.8) / 9.8| * 100

We are given that the accepted value of g is 9.8 m/s^2.

Suppose the experimental value of g is 9.6 m/s^2.

Percent Error = |(9.6 - 9.8) / 9.8| * 100

Percent Error = |-0.2 / 9.8| * 100

Percent Error = 0.0204 * 100

Percent Error = 2.04%

The correct option from the given choices would be (d) 4%, which is the closest value to the calculated percent error.

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Answer:

what are the answers

Step-by-step explanation:

Answer:

dialation of 3

Step-by-step explanation: it gets 3x bigger

The solution to the literal equation is y = x - 2.

To solve inequality in y, we need a number such that the assertion holds if we replace y with that number. Isolating the variable on one side of the inequality and leaving the other terms constant is the first step in resolving the inequality.

From the given information:

4x + 1 = 9 + 4y

To solve for y, we have to switch the sides:

9 + 4y = 4x + 1

Subtract 9 from both sides

9 - 9 + 4y = 4x + 1 - 9

4y = 4x - 8

Divide both sides by 4

\(\dfrac{4y}{4}= \dfrac{4x}{4}-\dfrac{8}{4}\)

y = x - 2

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Answer:

terminating decimal

Step-by-step explanation:

11 / 128 = 0.0859375

it is terminating because the numbers stop and don't go on forever.

The largest possible volume of the inscribed right circular cylinder is 810π \(cm^3\).

To find the largest possible volume of a right circular cylinder inscribed in a cone with height 10 cm and base radius 9 cm, follow these steps:

1. Set up the problem: Let h be the height of the cylinder and r be the radius of its base. The cylinder is inscribed in the cone, so their heights and radii are proportional. Therefore, we have the relationship:

  h/10 = r/9

2. Solve for h: Multiply both sides of the equation by 10 to isolate h:

  h = 10r/9

3. Write the volume formula for a cylinder: V = π\(r^2\)h

4. Substitute h from step 2 into the volume formula:

  V = π\(r^2\)(10r/9)

5. Differentiate the volume formula with respect to r to find the critical points:

  dV/dr = d(10π\(r^3\)/9)/dr = 10πr^2

6. Set the derivative equal to zero and solve for r:

  10π\(r^2\) = 0
  r = 0 (This is not a valid solution since the radius must be greater than zero)

7. Since there's no valid critical point, the maximum volume occurs at the endpoints of the interval. In this case, the radius can be between 0 and 9, so we'll test r = 9:

  h = 10(9)/9 = 10

8. Calculate the volume with r = 9 and h = 10:

  V = π(\(9^2\))(10) = 810π \(cm^3\)

The largest possible volume of the inscribed right circular cylinder is 810π\(cm^3\).

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Answer:cube root 381.7

Then half it too find the radius.

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

Answer:

Image 1 answer → not a polygon

Image 2 answer → n = 49 degrees

Image 3 answer → Square

Step-by-step explanation:

Image 1 explanation: Circles and ovals aren't polygons because their area and perimeter are calculated differently. So the answer is not a polygon.

Image 2 explanation: All complementary angles add up to 90 degrees, so 131 and 139 are incorrect. 41 and 49 add up to 90 degrees, which makes 49 degrees your answer.

Image 3 explanation: All options listed are quadrilaterals, but a square is the only shape that has 4 congruent sides and angles. Therefore, a square is a shape that possesses all the characteristics listed.

Have a great day! :)

In order to determine the sample size needed to achieve a desired margin of error for the population proportion, you will need to use a formula that takes into account the confidence level, the margin of error, and an estimate of the population proportion (p*).

However, since you do not have a reliable estimate of p*, you can use a conservative estimate of 0.5 to calculate the sample size. This will ensure that you have a large enough sample size to capture any changes in the population proportion, while still maintaining a reasonable level of precision in your estimate. Once you have collected your data, you can use the sample proportion as an estimate of the population proportion in any subsequent analyses.

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Answer:

The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept. To find the equation of the line given the point (-3, -1) and the slope of 2, we can use the point-slope form of a line: y - y1 = m(x - x1), where (x1, y1) is the given point and m is the slope. Plugging in the values, we have:

y - (-1) = 2(x - (-3))

y + 1 = 2x + 6

y = 2x + 5

So, the equation of the line that passes through the point (-3, -1) and has a slope of 2 is y = 2x + 5.

The language paradigm that is based on the mathematical concept of a function is the functional programming paradigm.

In functional programming functions are treated as first-class citizens means that they can be passed as arguments to other functions returned as values from functions and assigned to variables.

This is similar to mathematical functions are used in algebra and calculus.

Functional programming emphasizes on the use of pure functions are functions that produce output only based on their input and do not have any side effects.

This helps in writing code that is easier to reason about and test.

Functional programming languages such as Haskell Lisp and OCaml are based on this paradigm and provide built-in support for functions as first-class citizens.

Object-oriented programming (OOP) is based on the concept of objects encapsulate data and behavior.

Imperative programming is based on a sequence of statements that change the state of the program declarative programming focuses on what the program should achieve rather than how to achieve it.

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Answer:

8/5

Step-by-step explanation:

.5125 pls mark brainliest i did the equasion on my hand with pen to lazy to get up for paper

Shimano Pty Ltd needs to sell a minimum of 300 fishing rods in 2021.

In 2021, Shimano Pty Ltd, a custom fishing rod manufacturer, sells each rod for $900. The variable costs associated with producing each rod amount to 60% of the selling price, which is $540 per rod. Additionally, the business incurs fixed costs of $108,000 for the year.

To calculate the total cost per rod, we need to consider both the variable and fixed costs. The variable cost per rod is $540, and the fixed costs for the year are $108,000. Since the fixed costs are independent of the number of rods produced, they can be spread across the total number of rods manufactured.

To determine the breakeven point, we need to find the number of rods that need to be sold to cover the total costs. The breakeven point can be calculated by dividing the total fixed costs by the contribution margin, which is the selling price minus the variable cost per unit. In this case, the contribution margin is $360 ($900 - $540).

Breakeven Point = Total Fixed Costs / Contribution Margin

Breakeven Point = $108,000 / $360

Breakeven Point = 300 rods

To cover the fixed costs and start generating a profit, Shimano Pty Ltd needs to sell a minimum of 300 fishing rods in 2021.

It's important for the company to keep track of its costs, particularly the variable costs, and carefully consider its pricing strategy to ensure profitability and sustainability in the market.

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Answer:It is not possible

Step-by-step explanation: It is not possible because we need 12 plot to solve for an accurate mean but there is only 11 data which is impossible.

The missing length of the triangle using Pythagoras theorem is; x = 3

Pythagoras Theorem is defined as the way in which you can find the missing length of a right angled triangle. The right angle triangle has three sides, the hypotenuse (which is always the longest), Opposite (which doesn't touch the hypotenuse) and the adjacent (which is between the opposite and the hypotenuse).

The formula to find the sides is;

hypotenuse² = opposite + adjacent²

We are given;

Hypotenuse = 5

Opposite = x

adjacent = 4

Thus;

5² = x² + 4²

x² = 5² - 4²

x² = 25 - 16

x = √9

x = 3

We conclude that it is the missing length of the triangle

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(a)The population of interest is the entire university community at Botho University. (b)The sample is the random sample of 200 members. (c)The average time spent in the library, which is 30 minutes, is a statistic because it is computed from the sample and represents a characteristic of the sample, not the entire population.

a) The population of interest in this case would be the entire university community at Botho University. It includes all members of the university community who could potentially spend time in the library.

b) The sample in this case is the random sample of 200 members that was taken from the university community. It represents a subset of the population of interest and is used to make inferences about the larger population.

c) In this case, 30 minutes is a statistic, not a parameter.

A statistic is a value calculated from a sample that describes some characteristic of the sample. In this case, the average time spent in the library, which is 30 minutes, was computed from the sample of 200 members. It represents the average time spent in the library by the sampled members.

On the other hand, a parameter is a value that describes a characteristic of the population. Since the average time spent in the library is based on the sample and not the entire population, it cannot be considered a parameter.

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Parrots are tropical birds. These parrots survive, while most others cannot, due to a variation that allows these parrots to live in colder climate.

Parrots are found on all tropical and subtropical continents and regions including Australia and Oceania, South Asia, Southeast Asia, Central America, South America, and Africa. There are some important facts of Parrots are they can live over 100 years and also speak in like human voice. Parrots weight around 7 pounds.

About the diet of parrot, but all species are vary too what are available in the environment in which they live. Parrots are mostly eating fruits, nuts, chilly, grasses, leafy vegetation and all types of food.

And it also for help us to convey any message and about any story teller.

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Triangle with sides AB = 8cm , CA = 5cm , BC = 7cm and AB = 7cm , BC = 10cm , CA = 8cm can construct a Triangle.

Condition : For forming the triangle, the sum of two sides must be greater than the third side.

a.  AB = 4cm, CA = 3cm, BC = 10cm

   CA+BC=AB

   3+1=4

   4=4

Therefore, it cannot form a triangle because it is not satisfying the condition.

b.  AB = 8cm , CA = 5cm , BC = 7cm

    AB+CA>BC

    AB+BC>CA

    CA+BC>AB

    Therefore, it can form a triangle because it satisfies the condition.

c.  AB = 7cm, BC = 10cm, CA = 8cm

   AB+BC>CA

   AB+CA>BC

   BC+BC>AB

  Therefore, it can form triangle because it satisfies the condition.

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Answer:

Poorly formated. Please fix the question so it is more understandable!