help me and thank you

it would take Cody 40 bushels / 5.26 bushels per hour = 7.61 hours to pick 40 bushels of apples alone.

To begin, let's determine Lisa's individual work rate, or the amount of work she can complete in an hour.

The work formula states that the amount of work completed is equal to the product of the work rate and the amount of time spent working. Lisa's work rate is 40 bushels divided by 13 hours equals 3.08 bushels per hour.

Let C represent Cody's work rate, and let t represent the amount of time it takes him to pick 40 bushels on his own.

At the point when Lisa and Cody cooperate, they pick 40 bushels, so we can compose:

Lisa's work + Cody's work = Total work

3.08 bushels/hour * 4.8 hours + C * 4.8 hours = 40 bushels

14.78 + 4.8C = 40

4.8C = 25.22

C = 5.26 bushels per hour

Consequently, it would take Cody 40 bushels/5.26 bushels each hour = 7.61 hours to pick 40 bushels of apples alone.

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Answer: x = -11

Step-by-step explanation:

Sub in y= 3-1/2x into 3x+4y=1 for y, and solve for x.

[tex]3x+4(3-\frac{1}{2}x) =1\\3x + 12 - 2x =1\\\\\ x = -11[/tex]

The median, mode and range for both dot plots are:

The median

This is the middle value

From the dot plots, we have the middle values to be

Group A = (7 + 8)/2 = 7.5

Group B = 5

So, we have

Median Group A = 7.5

Median Group B = 5

The mode

This is the number of books with the highest dots

From the dot plots, we have the modal values to be

Mode Group A = 7 and 8

Mode Group B = 4 and 5

The range

This is the difference between the smallest and highest number of books with the highest dots

From the dot plots, we have the range to be

Group A = 9 - 6 = 3

Group B = 10 - 3 = 7

So, we have

Range Group A = 3

Range Group B = 7

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Susan invested $7000 in the fund that paid a 9% profit, and the remaining (10,000 - 7000) = $3000 in the stock that suffered a 3% loss.

Let's assume that Susan invested x dollars in the fund that paid a 9% profit, and the remaining (10,000 - x) dollars in the stock that suffered a 3% loss.

The net profit from the investment in the fund would be 9% of x, or 0.09x dollars.

The net loss from the investment in the stock would be 3% of (10,000 - x), or 0.03(10,000 - x) dollars.

Given that her overall net profit was $540, we can write the equation:

0.09x - 0.03(10,000 - x) = 540

Now let's solve for x:

0.09x - 0.03(10,000 - x) = 540

0.09x - 300 + 0.03x = 540

0.12x = 540 + 300

0.12x = 840

x = 840 / 0.12

x = 7000

So, Susan invested $7000 in the fund that paid a 9% profit, and the remaining (10,000 - 7000) = $3000 in the stock that suffered a 3% loss.

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The null and alternative hypotheses that apply are as follows:

H0: p ≤ 0.54, which claims that the proportion of pupils finishing class with a grade of A, B, or C in this experimental curriculum is no greater than 54%.

H₁: p > 0.54, according to the alternative hypothesis, asserts that the rate of students concluding the course with an A, B, or C grade in its experimental form must be above 54%.

The letter "p" represents the proportion of student grades in the experimental program who reach either A, B, or C levels.

The null hypothesis is that the proportion of pupils finishing class with a grade of A, B, or C in this experimental curriculum is no greater than 54%.

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The options that are not seen as retirement plan(s) are: II, IV

II. Pension Plan

IV. Traditional IRA

A defined contribution plan is a retirement plan in which the contributions made by or on behalf of the employee are defined, but the ultimate benefit depends on the performance of the investments made with those contributions.

Based on this definition, the retirement plans that are not considered defined contribution plans are:

II. Pension Plan - Pension plans are typically defined benefit plans, where the ultimate benefit is based on a formula that takes into account the employee's salary and years of service, rather than the contributions and investment returns.

IV. Traditional IRA - Traditional Individual Retirement Arrangements (IRAs) are also not defined contribution plans. While they do involve individual contributions, the ultimate benefit is not solely based on the contributions and investment returns, but rather on various factors, such as the individual's age, income, and tax deductions.

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According to the given data the unit rate of hamburgers per hour is 9 hamburgers per hour.

The unit rate is the rate of change of the number of hamburgers produced per hour.

To find the unit rate, we can use the formula:

Unit rate = (Number of hamburgers produced) / (Number of hours)

Using the information provided in the table, we can find the unit rate for the restaurant:

For 3 hours, the restaurant produced 27 hamburgers.

Unit rate = 27 / 3 = 9 hamburgers per hour

For 5 hours, the restaurant produced 45 hamburgers.

Unit rate = 45 / 5 = 9 hamburgers per hour

For 7 hours, the restaurant produced 63 hamburgers.

Unit rate = 63 / 7 = 9 hamburgers per hour

For 9 hours, the restaurant produced 81 hamburgers.

Unit rate = 81 / 9 = 9 hamburgers per hour

Therefore, the unit rate of hamburgers per hour for the restaurant is 9 hamburgers per hour.

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(1) The inverse function is:  [tex]f^-1 (y)[/tex] = (y - 8)/0.75 (2) In the inverse function, y represents the number of units produced and x is the hourly wage.(3) an hourly wage of $22.25 is approximately 14.93.

If a vertical line drawn anywhere on the graph of a relation only intersect at one point on the graph, then this graph represents a function. If a vertical line can intersect the graph at two or more points,  the graph does not represent a function.

(a) To find the inverse function, we must solve for x in terms of y.

y = 8 + 0.75x

y - 8 = 0.75x

x = (y - 8)/0.75

So the inverse function is:

[tex]f^-1 (y)[/tex] = (y - 8)/0.75

(b) In the inverse function, y represents the number of units produced and x is the hourly wage.

(c) To determine the number of units produced when the hourly wage is $22.25, we need to plug  y = 22.25 into the inverse function we found in part (a):

[tex]f^{-1}[/tex](22.25) = (22.25 - 8)/0.75

[tex]f^{-1}[/tex](22.25) = 14.93

Therefore, the number of units produced at an hourly wage of $22.25 is approximately 14.93.

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The rewritten expression of y = x + 8/3x using the distributive property is y = x(1 + 8/3)

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

Y can represent the distance Frog B hopped as y=x+ 8/3 x.

This means that

y = x + 8/3x

Factor out x from the equation

So, we have

y = x(1 + 8/3)

The above equation has been rewritten using the distributive property.

Hence, the rewritten expression using the distributive property is y = x(1 + 8/3)

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The number that needs to be added to complete the square is 169/4

To complete the square for the quadratic equation x² + 13x - 32 = 0, we need to add (13/2)² = 169/4 to both sides.

This is because the coefficient of x in the quadratic term is 13, so half of that is 6.5, and the square of that is 42.25, which simplifies to 169/4.

The equation will then become:

x² + 13x - 32 + 169/4 = 0 + 169/4

So the number that needs to be added to complete the square is 169/4, or 42.25.

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The perimeter of the new shape is 32 cm + 8 * sqrt(3) cm.

What is perimeter?

Perimeter is a measurement of the distance around a two-dimensional shape. It is the total length of the boundary or outer edge of the shape. In other words, it is the sum of the lengths of all the sides of the shape.

First, let's find the length of each side of the equilateral triangle, which was cut out of the square. Since the triangle was cut from a square, its sides have the same length as the sides of the square. Therefore, each side of the equilateral triangle is 8 cm.

Now, let's find the perimeter of the new shape, which is made by joining two of these shapes together. The new shape consists of two equilateral triangles and a rectangle. The length of the rectangle is the same as the side length of the equilateral triangle, which is 8 cm. The width of the rectangle is the same as the height of the equilateral triangle, which can be found by applying the Pythagorean theorem to one of the triangles:

[tex]height^2 = side^2 - (1/2 * side)^2\\\\height^2 = 8^2 - (1/2 * 8)^2\\\\height^2 = 64 - 16\\\\height^2 = 48\\\\height = \sqrt{(48)}\\\\height = 4 * \sqrt{(3)}[/tex]

Therefore, the width of the rectangle is also [tex]4 * \sqrt{(3)} cm.[/tex]

The perimeter of the new shape can be found by adding up the lengths of all four sides:

Perimeter = 2 * (side of equilateral triangle) + 2 * (length of rectangle + width of rectangle)

[tex]Perimeter = 2 * 8 cm + 2 * (8 cm + 4 * \sqrt{(3)} cm)\\\\Perimeter = 16 cm + 16 cm + 8 * \sqrt{(3)} cm\\\\Perimeter = 32 cm + 8 * \sqrt{(3)} cm[/tex]

Therefore, the perimeter of the new shape is [tex]32 cm + 8 * \sqrt{(3)} cm.[/tex]

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To graph the solution set to the given system of inequalities, we first need to graph the functions f(x) = x^2 - 2 and g(x) = -x^2 + 5.

The graph of f(x) is a parabola that opens upward and has its vertex at (0, -2). The graph of g(x) is also a parabola, but it opens downward and has its vertex at (0, 5). We can plot these two graphs on the same coordinate plane as follows:

[Insert image of two parabolas on a coordinate plane]

Next, we need to shade the regions of the graph that satisfy the given inequalities. The first inequality y > x^2 - 2 represents the region above the parabola f(x) but below the line y = infinity. The second inequality y ≥ -x^2 + 5 represents the region at or above the parabola g(x). The solution set is the intersection of these two regions.  

The shaded region represents all the points (x, y) that satisfy both inequalities, and therefore, the solution set to the system of inequalities.

Answer:

60 seconds

Step-by-step explanation:

Let's start by finding how much more water needs to be added to the solution to reach a total of 10 ml of water:

10 ml - 5.8 ml = 4.2 ml

Now we can use the formula:

time = amount of water added / rate of addition

to calculate the time it will take to add 4.2 ml of water at a rate of 0.07 ml/s:

time = 4.2 ml / 0.07 ml/s

time = 60 seconds (rounded to the nearest second)

Therefore, it will take 60 seconds to add enough water to the solution to make a total of 10 ml of water.

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The length or of the segment AD or  distance from point A to point D is 16.6 ft.

Given that Mr. Rose is remodeling his house by adding a room to one side

In order to determine the length of the boards he needs for the roof of the room, he must calculate the distance from point A to point D

We have to find the distance of AD

Sin 25 = 7/x

x is the distance of AD

x=7/sin 25

x=16.6 ft

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Bank B would be the best option since it offers a higher interest rate than Bank A and does not have any fees.

To compare different bank accounts, we need to know the interest rates offered by each bank. Let's assume that we have three local banks, each with a different interest rate: Bank A offers 2% interest, Bank B offers 2.5% interest, and Bank C offers 3% interest.

Using the formula for simple interest, we can calculate the amount of interest earned on the initial deposit of $2000 over four years for each bank:

Bank A: 2% interest per year

After four years, the interest earned is:

$2000 x 2% x 4 = $160

Bank B: 2.5% interest per year

After four years, the interest earned is:

$2000 x 2.5% x 4 = $200

Bank C: 3% interest per year

After four years, the interest earned is:

$2000 x 3% x 4 = $240

So, Bank C offers the highest interest rate and would earn the most interest over the four-year period. However, we also need to consider any fees associated with each account. Let's assume that Bank A and Bank B have no fees, but Bank C charges a $50 annual fee.

Bank A: Total amount after four years = $2000 + $160 = $2160

Bank B: Total amount after four years = $2000 + $200 = $2200

Bank C: Total amount after four years = $2000 + $240 - $50 x 4 = $1960

Even though Bank C offers the highest interest rate, the annual fee significantly reduces the total amount earned over four years. Therefore, Bank B would be the best option since it offers a higher interest rate than Bank A and does not have any fees.

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The quadratic functions that have a graph with x-intercepts of -8 and 2 are:

y = (x + 8)(x - 2)

f(x) = -7(x + 8)(x - 2)

Options A and C are the correct answer.

We have,

To find the quadratic functions that have a graph with x-intercepts of -8 and 2, we can start by using the fact that the x-intercepts occur when y = 0.

We know that the x-intercepts are -8 and 2, so we can set up two equations:

(x + 8) = 0 and (x - 2) = 0

Solving for x in each equation, we get:

x = -8 and x = 2

Therefore, the factors of the quadratic function that has x-intercepts of -8 and 2 are (x + 8) and (x - 2).

Now we can use these factors to determine which quadratic functions have a graph with these x-intercepts.

A.

y = (x + 8)(x - 2)

Expanding this quadratic function gives:

y = x² + 6x - 16

This function has x-intercepts of -8 and 2, so it is a valid option.

B.

y = (x - 8)(x - 2)

Expanding this quadratic function gives:

y = x² - 10x + 16

This function does not have an x-intercept of -8, so it is not a valid option.

C.

f(x) = -7(x + 8)(x - 2)

Expanding this quadratic function gives:

f(x) = -7x² - 42x - 96

This function does have x-intercepts of -8 and 2, so it is a valid option.

D.

f(x) = -2x² - 12x + 32

To find the x-intercepts of this quadratic function, we can use the quadratic formula:

x = (-b ± √(b² - 4ac)) / 2a

Plugging in the values from the given function, we get:

x = (-(-12) ± √((-12)² - 4(-2)(32))) / 2(-2)

x = (-(-12) ± √(144 + 256)) / (-4)

x = (6 ± √(100)) / 2

x = 3 ± 5

So the x-intercepts are -2 and 8, which means this function is not a valid option.

E.

y = x² - 5x + 8

To find the x-intercepts of this quadratic function, we can again use the quadratic formula:

x = (-b ± √(b² - 4ac)) / 2a

Plugging in the values from the given function, we get:

x = (-(-5) ± √((-5)² - 4(1)(8))) / 2(1)

x = (5 ± √(9)) / 2

x = 4 or x = 1

So the x-intercepts are 4 and 1, which means this function is not a valid option.

F.

f(x) = x² - 8x + 2

To find the x-intercepts of this quadratic function, we can once again use the quadratic formula:

x = (-b ± √(b² - 4ac)) / 2a

Plugging in the values from the given function, we get:

x = (-(-8) ± √((-8)² - 4(1)(2))) / 2(1)

x = (8 ± √(60)) / 2

x = 4 ± 2√(15)

So the x-intercepts are 4 + 2 √(15) and 4 - 2 √(15), which means this function is not a valid option.

Therefore,

The quadratic functions that have a graph with x-intercepts of -8 and 2 are:

A. y = (x + 8)(x - 2)

C. f(x) = -7(x + 8)(x - 2)

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Step-by-step explanation:

You are looking for the hypotenuse of a right triangle with legs of 12 and

 11 feet

Using Pthagorean theorem

hypot^2 = 12^2 + 11^2

hypot^2 = 265

hypot = sqrt (265) = 16.28 ft

Thus, the value of x for the given expression containing the mixed fractions is found as: x = 8/11.

A mixed number is a representation of both a whole number and a legal fraction. In most cases, it denotes a number that falls in between two whole numbers.

Multiply the whole integer by the denominator, then add the numerator to create an incorrect fraction out of a mixed number. The response here becomes the new numerator, while the denominator stays the same.

Given expression:

(x- 4 8/11) + 1 9/11 = 7 3/11

Solving all the mixed fractions in proper fractions:

4 8/11 = (4*11 + 8) / 11 = (44 + 8) /11 = 52/11

1 9/11 = (1*11 + 9) /11 = (11 + 9)/ 11 = 20/11

7 3/11 = (7*11 + 3) /11 = (77 + 3)/11 = 80/ 11

Put the obtained results in expression:

(x- 52/11) + 20/11 = 80/11

x - 52/11 = 80/11 - 20/11

x - 52/11 = (80 - 20)/11

x - 52/11 = 60/11

x = 60/11 - 52/11  

x = (60 -  52) / 11

x = 8/ 11

Thus, the value of x for the given expression containing the mixed fractions is found as: x = 8/11.

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The probability of selecting 3 boys for the relay team given that the first selection was a girl is approximately 0.055945 or 8/143.

Probability is a way to gauge how likely or unlikely something is to happen. It is denoted by a number between 0 and 1, with 1 denoting a certain event and 0 denoting an impossibility.

Let's start by calculating the probability of selecting a girl first. Since there are 7 girls and 14 team members in total, the probability of selecting a girl first is:

P(Girl first) = 7/14 = 1/2

Now, we need to calculate the probability of selecting 3 boys from the remaining 13 team members (6 boys and 7 girls). We can do this using combinations:

Number of ways to select 3 boys from 6 = C(6,3) = 20

Number of ways to select 1 girl from 7 = C(7,1) = 7

Total number of ways to form a relay team of 4 from 13 = C(13,4) = 715

Therefore, the probability of selecting 3 boys from the remaining 13 team members is:

P(3 boys from 13) = (20*7)/715 = 4/143

Finally, we can use conditional probability to calculate the probability of selecting 3 boys given that the first selection was a girl:

P(3 boys | Girl first) = P(3 boys from 13)/P(Girl first)

= (4/143)/(1/2)

= 8/143

= 0.055944...

Rounded to the nearest millionth, the probability is 0.055945.

Therefore, the probability of selecting 3 boys for the relay team given that the first selection was a girl is approximately 0.055945 or 8/143.

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Answer:

Using the FOIL method to multiply (x + 80)(x - 20), we get:

(x + 80)(x - 20) = x^2 - 20x + 80x - 1600

Simplifying the expression, we get:

(x + 80)(x - 20) = x^2 + 60x - 1600

Therefore, the answer is x^2 + 60x - 1600.

The equation for the orange graph is the one in the last option:

f(x) = -3x³

We can see that the orange graph seems to be:

From the given options, the only one that matches all these options is the last one:

f(x) = -3x³

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Answer:

C or D it’s hard to see if the bottom of the shape is a square or rectangle.

Step-by-step explanation:

If rectangle C if squared D

I would go with C

Therefore, the basketball needs an additional 2,016π cubic centimeters of air to be fully inflated.

In physics and mathematics, volume refers to the amount of space occupied by a three-dimensional object or region of space. The volume of a solid object can be calculated using various formulas, depending on the shape of the object. The concept of volume is used in many areas of science and engineering, including physics, chemistry, architecture, and manufacturing. It is particularly important in fields such as fluid mechanics and thermodynamics, where the flow and behavior of liquids and gases are often analyzed in terms of their volume and the changes in volume that occur during various processes.

Here,

The volume of a fully inflated basketball is given by the formula V = (4/3)πr³, where r is the radius of the ball. In this case, the radius is 12 cm, so the volume of a fully inflated basketball is:

V = (4/3)π(12 cm)³

V = (4/3)π(1728 cm³)

V = 2,304π cm³

To find the volume of a basketball that is only inflated halfway, we need to find the radius of the half-inflated ball. Since the volume of a sphere is proportional to the cube of its radius, we can use the following proportion:

(Volume of half-inflated ball) / (Volume of fully inflated ball) = (Radius of half-inflated ball)³ / (Radius of fully inflated ball)³

Let Vh be the volume of the half-inflated ball, then:

Vh / 2,304π cm³ = (6 cm)³ / (12 cm)³

Simplifying this equation, we get:

Vh = (1/8) * 2,304π cm³

Vh = 288π cm³

Now we can find the additional volume of air needed to fully inflate the ball:

Volume of fully inflated ball - Volume of half-inflated ball = Additional volume of air needed

2,304π cm³ - 288π cm³ = 2,016π cm³

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Therefore, a sharpening costs Dollar 1.85.

The US, Canada, Australia, and some nations in the Pacific, Caribbean, Southeast Asia, Africa, and South America all use the dollar as their primary unit of exchange. The word "$" is used to denote it.

Let's use $a for the sharpener's price. We can state that the price of a book is $a + 1.95 because it costs $1.95 more than a sharpening.

We are aware of the $26.10 total cost of 10 sharpeners and 2 books. This can be expressed as an equation:

10a + 2(a + 1.95) = 26.10

If we simplify this equation, we get:

12a + 3.90 = 26.10

3.90 less from each side results in:

12a = 22.20

By multiplying both sides by 12, you get:

a = 1.85

Therefore, a sharpening costs $1.85.

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Answer:

there are 2,598,960 ways to deal 5 different cards from a standard 52-card deck.

Step-by-step explanation:

The number of ways 5 different cards can be dealt from a standard 52-card deck is given by the combination formula:

C(52,5) = 52! / (5! * 47!)

which simplifies to

C(52,5) = (52 * 51 * 50 * 49 * 48) / (5 * 4 * 3 * 2 * 1)

= 2,598,960

The answer for it is diagram B because it does not cross or have parallel lines

The x-intercept represents:

"The number of hours the taxi was driven before running out of fuel"

In standard notation, the variable x is the independent variable in the horizontal axis, here we can see that in the horizontal axis we are measuring the time (in hours) that the taxi was driving.

Then the x-intercept (the time when y = 0) is the number of hours until the fuel is down to zero, then the correct option is B i guess, but it should be worded as:

"The number of hours the taxi was driven before running out of fuel"

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