The Bayview Community Pool has a snack stand where Juan works part-time. He tracked his total sales during each shift last month. This box plot shows the results. Total sales per shift ($) 100 150 Submit 200 250 300 What fraction of Juan's shifts had total sales of $225 or more? 350​

Answers

Answer 1

It looks like there are five data points in the box plot, representing Juan's total sales during each shift. The third data point is $200, which is the median value. Since there are an odd number of data points, we know that the median is exactly in the middle of the data set. This means that two of the data points are less than $200, and two of the data points are greater than $200.

The last data point is $300, which is the maximum value. So we know that only one of the data points is between $200 and $300. Therefore, the fraction of Juan's shifts that had total sales of $225 or more is 1/5, or 20%.

Answer 2

Answer:

Step-by-step explanation:


Related Questions

If a fair coin is tossed twice the possible outcomes are HH, HT, TH or TT, where HH means both tosses are heads and HT means that the first toss is a head and the second toss is a tail, etc. Since the coin is fair, a 50-50 chance of getting a head or a tail, we assign a probability of 1/4 to each of the four outcomes. Assuming that a fair coin was tossed twice, find the probability that exactly one of the tosses is a head and the other toss is a tail.

Answers

Assuming that a fair coin was tossed twice, the probability that exactly one of the tosses is a head and the other toss is a tail is 1/2.

The probability of a certain event happening is the number of ways that event can occur, divided by the total number of possible outcomes. In this case, we are interested in finding the probability that exactly one of the two coin tosses results in a head and the other results in a tail.

There are two possible outcomes that satisfy this condition: HT and TH. Since the coin is fair, each of these outcomes has a probability of 1/4. Therefore, the total probability of getting exactly one head and one tail is:

P(HT or TH) = P(HT) + P(TH) = 1/4 + 1/4 = 1/2

In other words, there is a 50-50 chance of getting exactly one head and one tail when a fair coin is tossed twice.

To see why this is the case, we can think of each toss as an independent event with two possible outcomes (head or tail). There are four possible outcomes when we toss a coin twice, and two of these outcomes satisfy the condition of exactly one head and one tail. Therefore, the probability of getting exactly one head and one tail is 2/4, which simplifies to 1/2.

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Which of the following represents the symmetric property of congruence?
A) If AB = CD, then AB ≅ EF

C) If AB ≅ CD , then CD≅ AB

D) AB ≅ AB

Answers

The symmetric property of congruence is Option C) If AB ≅ CD, then CD ≅ AB.

The symmetric property of congruence states that if one segment is congruent to another segment, then the second segment is also congruent to the first.

Therefore, the correct answer is C) If AB ≅ CD , then CD ≅ AB.

This statement shows that if segment AB is congruent to segment CD, then segment CD is also congruent to segment AB, which satisfies the definition of the symmetric property of congruence.

Answer choices A) and D) do not represent the symmetric property of congruence, as they simply state that a segment is congruent to itself or to another segment without reversing the order of the comparison.

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Explain how you might show that 3 points lie on the same line using coordinate geometry.

Answers

If the determinant of the matrix formed by the coordinates of the three points is zero, then they are collinear

Given data ,

To show that three points lie on the same line using coordinate geometry, we need to check if they satisfy the equation of a line.

Let the coordinates of the three points be (x1, y1), (x2, y2), and (x3, y3).

To check if these three points are collinear, we can calculate the slope of the line passing through the first two points using the formula

m = (y2 - y1) / (x2 - x1)

Then, we can check if the slope of the line passing through the second and third points is equal to the slope we calculated above. If they are equal, then all three points lie on the same line

m' = (y3 - y2) / (x3 - x2)

If m = m', then the three points are collinear

Alternatively, we can use the determinant method to check if the three points lie on the same line. If the determinant of the matrix formed by the coordinates of the three points is zero, then they are collinear

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What are the steps for constructing an inscribed circle in
using only a compass and a straightedge?

Answers

Answer:

Find the angle bisectors and draw them.

The point where they meet is the center of the circle.

Make a circle which goes through the point where the angle bisector and sides meet.

Step-by-step explanation:

how many positive integers with three digits have at least one digit divisible by 3?

Answers

Answer:

There are a total of 900 three-digit positive integers, from 100 to 999.

The box plot below represents some data set. What percentage of the data values are between 110 and 170?

Answers

The percentage of the data values are between 110 and 170 = 37.5%

We know that in the box plot, the first quartile is nothing but 25% from smallest to largest of data values.

The second quartile is nothing but between 25.1% and 50% (i.e., till median)

The third quartile: 51% to 75% (above the median)

And the fourth quartile: 25% of largest numbers.

In the attached box plot, we can observe that between two numbers on the number line there are 5 equal parts.

So, each unit length measures 10 units.

Also, the median of the data = 110

We need to find the percentage of the data values are between 110 and 170.

i.e., the percentage of the data values are in the third quartile.

The range of this box plot is: 190 - 30 = 160

The data values are between 110 and 170 = 60

Using percentage formula,

P = (60/160) × 100

P = 37.5%

This is the required percentage.

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Find the complete question below.

Determine the inverse of y= 2x-3

Answers

The requried inverse function is [tex]f^{-1}(y) = (y + 3)/2[/tex].

To find the inverse of y = 2x - 3, we need to solve for x in terms of y.

Starting with y = 2x - 3:

Add 3 to both sides: y + 3 = 2x

Divide both sides by 2: (y + 3)/2 = x

Therefore, the inverse of y = 2x - 3 is:

x = (y + 3)/2

We can also express this as:

[tex]f^{-1}(y) = (y + 3)/2[/tex]

Thus, the inverse function is [tex]f^{-1}(y) = (y + 3)/2[/tex]

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I NEED HELP
Please!!!!!!!!!!!!!!!

Answers

The exponential function for the given data is  y = 1.806(1.107)ˣ ,

Interpretation about parameters are,

a represents  initial population and b increase in growth by 10.7%.

Population size during 35th year is 63.

The exponential function that best represents the population growth of the species of crocodiles.

Values for parameters a and b in equation y = abˣ that best fit given data.

Using the data in the table, set up a system of equations as follows,

2 = ab¹

5 = ab¹⁰

12 = ab²⁰

22 = ab³⁰

25 = ab⁴⁰

To solve for a and b, we can divide the equations to eliminate a.

5/2 = (ab¹⁰)/(ab¹)

⇒5/2 = b⁹

12/5 = (ab²⁰)/(ab¹⁰)

⇒ 12/5= b¹⁰

22/12 = (ab³⁰)/(ab²⁰)

⇒ 22/12= b³/²

25/22 = (ab⁴⁰)/(ab³⁰)

⇒25/22 = b⁴/³

Taking the ninth root of the first equation,

The tenth root of the second

b = 1.107

a = 1.806

Exponential function that best represents the population growth of species of crocodiles is y = 1.806(1.107)ˣ

Interpreting the parameters of the model in the context of the problem.

a represents the initial population when x = 0 which is not given in the table.

And b represents the growth factor or rate of increase.

The growth factor is approximately 1.107, meaning that the population is increasing by about 10.7% each year.

To predict the population size during their 35th year, we simply plug x = 35 into the equation.

y = 1.806(1.107)³⁵

  = 63.4

  = 63(whole number)

Predict that population size of species of crocodiles during their 35th year will be approximately 63 individuals.

Therefore, the exponential function is  y = 1.806(1.107)ˣ ,

Interpretation of parameters are a is the initial population and b represents the growth increased by 10.7%.

During 35th year population is 63.

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Please help me with my question

Answers

Answer:

The length is 35 meters (m).

Step-by-step explanation:

182/2

91 = area of 1/5 of the field.

91 * 3

273 = area of cabbages.

182 + 273

455 = area of whole field.

a/w = l, because l * w = a

455/13

35

If the geometric series 54+36+…+128/27 has seven terms in its sum then the value of the sum is?

Answers

The sum of the geometric series is 306. We can start by finding the first term and the common ratio of the geometric series.

The first term is 54, and to find the common ratio we divide any term by its previous term:

36 / 54 = 2/3

(2/3) * 54 = 36

128/27 / 36 = 4/3

So the common ratio is 2/3.

S = a * (1 - r^n) / (1 - r)

where S the sum of a geometric series with first term a,  common ratio r, and n terms is no. of terms.

We are given that there are seven terms in the sum, so n = 7.

Using the values we have:

S = 54 * (1 - (2/3)^7) / (1 - 2/3)

S = 54 * (1 - 128/2187) / (1/3)

S = 54 * (2059/2187) * 3

S = 306

Therefore, the sum of the geometric series is 306

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Tony and Jim go on a hiking trip. They start from the same spot in the morning. Tony travels 5 miles due south and Jim travels 6 miles north east, by noon. To the nearest mile, how far apart are Tony and Jim?

Answers

Answer:

To the nearest mile, Tony and Jim are 9 miles apart.

To visualize this, imagine a right triangle where Jim's starting point is at the right angle. Tony travels 5 miles due south, which is the adjacent side of the triangle. Jim travels 6 miles north east, which is the hypotenuse of the triangle. The opposite side of the triangle is the distance between Tony and Jim.

Using the Pythagorean theorem, we can find the length of the opposite side:

opposite side = sqrt(hypotenuse^2 - adjacent side^2)

opposite side = sqrt(6^2 - 5^2)

opposite side = sqrt(11)

To the nearest mile, the distance between Tony and Jim is 9 miles.

you roll a die numbered from 1 to 6. What is the probability that the sum is not 6?

Answers

Answer:2/3 or approximately 0.667.

Step-by-step explanation:

total number of outcomes =6

We can obtain a sum of 6: rolling a 1 and a 5, or rolling a 2 and a 4.

Therefore, the number of outcomes that do not result in a sum of 6 is:

6 - 2 = 4

So the probability of getting a sum that is not 6 is:

P(sum is not 6) = number of outcomes that do not result in a sum of 6 / total number of possible outcomes

P(sum is not 6) = 4 / 6

P(sum is not 6) = 2 / 3

If you are throwing 1 die then the probability is 5/6 or 83.3% but if you are rolling 2 die then the probability is 25/36 or 69.4%

I need help with my math project so if anyone can do this for me real quick

Answers

I don't really know but try to read

The sum of the interior angles of the 10-sided polygon on the left is ____

Answers

Answer:

The sum of the interior angles of a 10-sided polygon is 1,440 degrees.

To find the sum of the interior angles of any polygon, you can use the formula:

sum of interior angles = (n - 2) x 180 degrees

where n is the number of sides of the polygon.

So, for a 10-sided polygon, we have:

sum of interior angles = (10 - 2) x 180 degrees

sum of interior angles = 8 x 180 degrees

sum of interior angles = 1,440 degrees

Therefore, the sum of the interior angles of the 10-sided polygon on the left is 1,440 degrees.

Answer:

1440 degrees

Step-by-step explanation:

Credit to the the first person who answered. :)

The sales data for July and August of a frozen yogurt shop are approximately normal.

The mean daily sales for July was $270 with a standard deviation of $30. On the 15th of July, the shop sold $315 of yogurt.

The mean daily sales for August was $250 with a standard deviation of $25. On the 15th of August, the shop sold $300 of yogurt.

Which month had a higher z-score for sales on the 15th, and what is the value of that z-score?

a.)
August, with a z-score of 1.67.
b.)
July, with a z-score of 1.5.
c.)
July, with a z-score of 1.8.
d.)
August, with a z-score of 2.

Answers

Answer: D

Step-by-step explanation:

To determine which month had a higher z-score for sales on the 15th, we need to calculate the z-scores for each month's sales.

For July:

z-score = (x - μ) / σ

where x is the sales on the 15th, μ is the mean daily sales for July, and σ is the standard deviation of daily sales for July.

Plugging in the values, we get:

z-score for July = (315 - 270) / 30 = 1.5

For August:

z-score = (x - μ) / σ

where x is the sales on the 15th, μ is the mean daily sales for August, and σ is the standard deviation of daily sales for August.

Plugging in the values, we get:

z-score for August = (300 - 250) / 25 = 2

Since the z-score for August is higher than the z-score for July, August had a higher z-score for sales on the 15th.

The value of the z-score for August's sales on the 15th was 2.

PLEASE HURRY!!!
Write the expression using only positive exponents. Assume no denominator equals zero.
(−3^4 ^−7)^−3

Answers

The given expression ((−3⁴)⁻⁷)⁻³ using only positive exponents is equal to  (-3)⁻⁸⁴.

To write the expression ((−3⁴)⁻⁷)⁻³ using only positive exponents, we can apply the rule of exponentiation that states that a negative exponent can be converted to a positive exponent by moving the base to the denominator and changing the sign of the exponent.

In this case, we have a negative exponent raised to another negative exponent, so we need to apply this rule twice.

First, we can rewrite the expression as:

((-3⁴)⁻⁷)⁻³ = (-3⁴)⁷³

Next, we can apply the rule of negative exponent to obtain:

(-3⁴)⁷³ = (1/(-3⁴))⁻²¹

Finally, we can simplify the expression by moving the negative exponent to the numerator, changing the sign of the exponent and using the power rule of exponents to get:

(1/(-3⁴))⁻²¹ = (-3⁻⁴)²¹ = (-3)⁻⁸⁴

In conclusion, we can convert a negative exponent to a positive exponent by moving the base to the denominator and changing the sign of the exponent. We can use this rule multiple times to simplify expressions with negative exponents.

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what is the angle of depression on top of a 15 foot tall tree to a lake exactly at 30 feet from the top of the tree? what is the angle of elevation for someone on a boat that is 35 feet from shore looking up at the top of the tree?

Answers

Answer: We can use basic trigonometry to solve both of these problems:

Angle of depression from the top of the tree to the lake:

Let's draw a diagram of the situation:

       A (top of tree)

       |\

       | \

    30 |  \ 15 ft

       |   \

       |    \

       |     \

       |      \

       |       \

       |        \

       |         \

       |          \

       |__________\

              B (lake)

In this diagram, A represents the top of the tree, B represents the lake, and the lines connecting them form a right triangle. We want to find the angle of depression, which is the angle between the horizontal line (from the top of the tree to the lake) and the line of sight from the top of the tree to the lake. This is angle θ in the diagram.

We know that the opposite side of this right triangle is 30 feet (the horizontal distance from the top of the tree to the lake) and the adjacent side is 15 feet (the height of the tree). Therefore:

tan(θ) = opposite/adjacent = 30/15 = 2

Taking the arctangent of both sides gives us:

θ = arctan(2) ≈ 63.4 degrees

Therefore, the angle of depression from the top of the tree to the lake is approximately 63.4 degrees.

Angle of elevation from the boat to the top of the tree:

Let's draw a diagram of the situation:

   C (person on boat)

    |\

    | \

35  |  \

    |   \

    |    \

    |     \

    |      \

    |       \

    |        \

    |         \

    |          \

    |__________\

          A (top of tree)

In this diagram, C represents the person on the boat, A represents the top of the tree, and the lines connecting them form a right triangle. We want to find the angle of elevation, which is the angle between the horizontal line (from the person on the boat to the shore) and the line of sight from the person on the boat to the top of the tree. This is also angle θ in the diagram.

We know that the opposite side of this right triangle is 15 feet (the height of the tree) and the adjacent side is 35 feet (the horizontal distance from the person on the boat to the tree). Therefore:

tan(θ) = opposite/adjacent = 15/35

Taking the arctangent of both sides gives us:

θ = arctan(15/35) ≈ 23.1 degrees

Therefore, the angle of elevation from the boat to the top of the tree is approximately 23.1 degrees.

The temperature decreased by 11 degrees.

Enter an integer that represents this situation in the box.

____°

Answers

Answer:

Step-by-step explanation:

-11°

me no work math[tex]-3X+5y=-3\\y=-7+7[/tex]

Answers

The value of 'x' is 1 and value of y is '0'.

What is an equation?

An equation can be defined as a statement that supports the equality of two expressions, which are connected by the equals sign “=”.

We have the equations are:

-3x + 5y = -3 ___eq.1

and, y = -7 + 7 ___eq.2

We have to find the value of 'x' and 'y'

Now, Firstly find the value of y

We know that :

Opposite sign with same digit is cancel to each other it is always zero.

y = -7 + 7

So, y = 0

Now, We have to put the value of y in eq. 1

-3x + 5(0) = -3

-3x + 0 = -3

x = -3/-3

x = 1

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the price stock A at 9 am was $13.92. since then the price has been increasing at the rate of $0.11 each hour. At noon the price of Stock B was 14.67. It begins to decrease at the rate of $0.14 each hour. if the two rates continue , in how many hours will the prices of the two stocks be the same

Answers

The number of hours when the two stocks would be the same is 1.68 hours.

In how many hours would the two stocks be the same?

The first step is to determine the price of stock A at noon.

Price of stock A at noon = price at 9am + (rate of increase per hour x time difference)

Time difference = 12 - 9am = 3 hours

= $13.92 + (0.11 x 3)

= $13.92 + 0.33

= $14.25

Value of stock A t hours after noon = $14.25 + (0.11 x t)

= $14.25 + 0.11t

The equation that can be used to determine the price of stock B at time t is:

Price of stock B at time t = beginning price - (rate of decline x time)

= $14.67 - (0.14 x t)

= $14.67 - 0.14t

When the two stocks are the same, the two equations would be equal to each other:

$14.25 + 0.11t = $14.67 - 0.14t

solve for t:

0.11t + 0.14t = $14.67 - $14.25

0.25t = 0.42

t = 0.42 / 0.25

t = 1.68 hours

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QRINC offered new employees a starting salary of $51,468 in 2013. What would a comparable starting salary have been in 2003?

Answers

To adjust for inflation, we would need to use the Consumer Price Index (CPI) to convert the 2013 salary to its equivalent value in 2003. According to the Bureau of Labor Statistics, the CPI in 2013 was 233.049, and the CPI in 2003 was 183.958.

Using the CPI Inflation Calculator, we can determine that a comparable starting salary in 2003 would have been approximately $40,847.

Based on the best available econometric estimates, the market elasticity of demand for your firm’s product is −2.0. The marginal cost of producing the product is constant at $75, while average total cost at current production levels is $140.

Determine your optimal per unit price if:

Instructions: Enter your responses rounded to two decimal places.

a. you are a monopolist.

$



b. you compete against one other firm in a Cournot oligopoly.


$


c. you compete against 19 other firms in a Cournot oligopoly.


$

Answers

Answer:

c. Cournot oligopoly (20 firms):

The optimal per unit price for a Cournot oligopoly with 20 firms is $485.10.

Step-by-step explanation:

The linear growth equation and graph show a population
that is growing at a Constant rate


Given that the starting population, M(0), is 5 and has a growth rate, m, of 2
individuals per unit of time, what will the population be at 20 units of time?
O A 55
O B. 45
O c. 30
O D. 25

Answers

Answer:

B

Step-by-step explanation:

N(0) = 5

m = 2 individuals per unit time

t = 20 unit time

N(20) = 2*20+5 = 45 individuals

Final answer:

The linear growth equation, M(t) = M(0) + m*t, can be used to calculate population growth at a constant rate. By substituting in the given starting population of 5 and growth rate of 2, it is determined that the population at 20 units of time is 45.

Explanation:

In the context of this question, we're dealing with a simple linear growth equation, which can be expressed algebraically as M(t) = m*t + M(0), where M(t) is the population at time t, m is the rate of growth, and M(0) is the starting population.

In this case, the starting population, M(0), is 5 and the growth rate, m, is 2 individuals per unit of time. So if we want to calculate the population at 20 units of time, we would substitute these values into the equation.

According to the equation, M(20) = M(0) + m*20 = 5 + 2*20 = 5 + 40 = 45. Therefore, the population at 20 units of time would be 45 individuals.

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Choose the most reasonable unit of measure.

3) Area of a baseball infield: 925
A) mm² B) km² C) m² D) cm²

4) Area of a lake: 4
A) mm² B) km² C) m² D) cm²

5) Area of a door: 20
A) yd² B) in.² C) ft² D) mi²

Answers

The most reasonable unit of measurement for 3) is option (C): [tex]m^2[/tex], 4) is option (B): [tex]km^2[/tex], 5) is [tex]in^2[/tex].

3) The most reasonable unit for the measurement of the baseball field is [tex]m^2[/tex] because the baseball field covers a large distance which is not accurately measured by small units  [tex]cm^2[/tex] or [tex]mm^2[/tex]  where it is not that big to be measured in large units like [tex]km^2[/tex]. So option C is the correct option.

4) The most reasonable unit for the measurement of a lake is [tex]km^2[/tex] because lakes are generally very large water bodies that cover a large distance and are not accurately measured by small units like [tex]cm^2[/tex] , [tex]mm^2[/tex] , and [tex]m^2[/tex]. So option B is the correct option.

5) The most reasonable unit for the measurement of the area of a door is [tex]in^2[/tex] because doors are relatively small compared to the other options and are often measured in square inches or square feet. So option B is the correct option.

Therefore the correct answers question-wise are:

3) [tex]m^2[/tex]

4) [tex]km^2[/tex]

5) [tex]in^2[/tex]

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what is the area of the square if it’s 15 by 15

Answers

Answer:

225 is the answer

15 times 15

Step-by-step explanation:

An air traffic controller is tracking two planes. To start, Plane A is at an altitude of 2775 feet and Plane B is just taking off. Plane A is gaining altitude at 25.25 feet per second and Plane B is gaining altitude at 80.75 feet per second.

Answers

When the planes are at the same altitude after 48 seconds, they will be at an altitude of 4014 feet.

Let's assume that after t seconds, Plan A will be at an altitude of A and Plan B will be at an altitude of B. We want to find the value of t when A = B.

We can use the following equations to model the altitude of each plane after t seconds:

A = 2172 + 35.25t

B = 80.5t

We can set A equal to B and solve for t:

2172 + 35.25t = 80.5t

Subtracting 35.25t from both sides, we get:

2172 = 45.25t

Dividing both sides by 45.25, we get:

t = 48 seconds (rounded to the nearest second)

Therefore, the planes will be at the same altitude after 48 seconds.

To find the altitude they will be at, we can substitute t = 48 into either of the altitude equations. Let's use the equation for Plan A:

A = 2172 + 35.25t

A = 2172 + 35.25(48)

A = 4014 feet

Correct Question :

An air traffic controller is tracking two planes. To start, Plan A is at an altitude of 2172 feet and Plan B is just taking off. Plan A is gaining altitude at 35.25 feet per second and Plan B is gainnig altitude at 80.5 feet per second.

How many seconds will pass before the planes are at the same altitude?

What will their altitude be when they're at the same altitude?

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PLEASE HELP FAST.
Marie-Renee wants to hang 4 identical posters on her wall. The wall is 16 feet wide, and there must be at least 5 feet of space total between the posters and between the edges of the wall. How wide can the posters be?

Marie-Renee writes the inequality 4w + 5 ≤ 16 to help her plan. Complete each statement below to describe what w, 4w, 5, and 16 represent in this inequality.
w represents...
4w represents...
5 represents...
16 represents...

Marie-Renee knows to find the acceptable width of each poster, she must first solve the associated equation to find the boundary value for her inequality. Solve 4w + 5 = 16 and show your work.

Does the boundary value you found in part (b) make Marie-Renee’s inequality true or false? Show your work and explain your reasoning.

Write the solution to Marie-Renee’s inequality and interpret it within the context of the problem.

Answers

The width of each poster cannot be greater than 11/4 feet or 2.75 feet.

For given expression w represents the width, 4w represents the total width of four posters, 5 represents space between posters and edges of wall, and 16 represents width of the wall.

The boundary value satisfies the inequality.

In the given problem, Marie-Renee wants to hang 4 identical posters on her wall, and she needs to leave at least 5 feet of space total between the posters and between the edges of the wall. Let's assume that the width of each poster is w feet.

The inequality 4w + 5 ≤ 16 represents the maximum space the posters can take on the wall. In this inequality,

w represents the width of each poster,

4w represents the total width of four identical posters,

5 represents the total space between the posters and between the edges of the wall, and

16 represents the total width of the wall.

To find the acceptable width of each poster, we need to solve 4w + 5 = 16.

4w + 5 = 16

4w = 16 - 5

4w = 11

w = 11/4

So, the width of each poster cannot be greater than 11/4 feet or 2.75 feet.

Now, we need to check if the boundary value of w satisfies the original inequality or not.

4w + 5 ≤ 16

4(11/4) + 5 ≤ 16

11 + 5 ≤ 16

16 ≤ 16

Since the boundary value satisfies the inequality, the solution to Marie-Renee's inequality is w ≤ 11/4 or w ≤ 2.75 feet.

Therefore, the width of each poster cannot exceed 2.75 feet, and all four posters can be hung on the 16 feet wide wall with at least 5 feet of space total between them and the edges of the wall.

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What is the Pythagorean theorem and how is it used?

Answers

The Pythagorean Theorem states that in a right-angled triangle, 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.

It is used to find the length of one of the sides of a right-angled triangle when the lengths of the other two sides are known. It is also used to determine if a triangle is a right-angled triangle or not, by checking if the lengths of the sides satisfy the theorem.

The Pythagorean Theorem has many practical applications, such as in construction, engineering, and physics. For example, it can be used to calculate the distance between two points in a two-dimensional plane, the height of a building or tower, or the force required to move an object up a ramp at a given angle.

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a ball leaves a bat in a horizontal direction from a height of 0.39 m above the ground. the speed of the ball is 35ms-1. the ball takes 0.28 seconds to reach the ground again. what is the horizontal distance the ball has travelled?

Answers

The horizontal distance the ball travelled is 2.73 m.

What is a projectile?

A projectile is any object that is moving in space under the influence of gravity and its momentum. The horizontal distance covered by a projectile from its point of projection is called range. It can be determined by;

R = U[tex]\sqrt{\frac{2H}{g} }[/tex]

where u is the initial speed of the object, H is the height of projection and g is the gravitational constant.

So that in the information given, we can determine the range as;

R = U[tex]\sqrt{\frac{2H}{g} }[/tex]

  = 35[tex]\sqrt{\frac{2*0.39}{10} }[/tex]

  = 35*0.078

  = 2.73

R = 2.73 m

The horizontal distance the ball has travelled is 2.73 m.

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A viral video had 100,000 views on the first day. Each day, the number of views is 70% of the previous day. How many views will the video receive on the fourth day?
O49,000
O 34,300
O 24,010
O 16,807

Answers

Answer:

[tex]100000( {.70}^{3} ) = 34300[/tex]

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