Two pounds of peaches cost $4.5, 5 pounds cost $11.25, and 10 pounds cost $22.5. Show that the relationship between the number of pounds of peaches and the cost is a proportional relationship. Then write an equation for the relationship. Describe the proportional relationship in words.

Answer:

Step-by-step explanation:

if you see a person that sends you a sketchy link dont click it is an ip grabber.

Answer:

the probability of you getting a green ball is high

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Hey mate 4 is your Answer

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Answer:

4 friends

Step-by-step explanation:

To approximate the solution and maximize the given objective function we need to find the steepest ascent direction and iteratively update the values of x₁ and x₂ to approach the maximum value of z.

The method of steepest ascent involves finding the direction that leads to the maximum increase in the objective function and updating the values of the decision variables accordingly. In this case, we aim to maximize the objective function z = -(x₁ - 3)² - (x₂ - 2)².

To find the steepest ascent direction, we can take the gradient of the objective function with respect to x₁ and x₂. The gradient represents the direction of the steepest increase in the objective function. In this case, the gradient is given by (∂z/∂x₁, ∂z/∂x₂) = (-2(x₁ - 3), -2(x₂ - 2)).

Starting with initial values for x₁ and x₂, we can update their values iteratively by adding a fraction of the gradient to each variable. The fraction determines the step size or learning rate and should be chosen carefully to ensure convergence to the maximum value of z.

By repeatedly updating the values of x₁ and x₂ in the direction of steepest ascent, we can approach the solution that maximizes the objective function z. The process continues until convergence is achieved or a predefined stopping criterion is met.

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Answer:

11388

Step-by-step explanation:

Answer:

The answer to this question is 11,388

Answer:

17

Step-by-step explanation:

34/2=17

To find out how many orange marbles are there in a bag containing 45 red marbles, given that each bag of marbles from Lashonda's Marble Company contains 8 orange marbles for every 5 red marbles, which is 72.

we can use the following steps:

Step 1: Determine the ratio of orange to red marbles in a bag from the given information. Each bag contains 8 orange marbles for every 5 red marbles. So the ratio of orange marbles to red marbles is 8:5. This means for every 8 orange marbles there are 5 red marbles. Therefore, the ratio of red marbles to orange marbles is 5:8

Step 2: Use the ratio of red to orange marbles to find how many orange marbles there are in a bag containing 45 red marbles. We can set up a proportion using the ratio of red marbles to orange marbles:5:8 = 45:xwhere x represents the number of orange marbles in the bag.Cross-multiplying, we get:5x = 8 × 45Simplifying:5x = 360Dividing both sides by 5:x = 72Therefore, a bag containing 45 red marbles has 72 orange marbles. Answer: 72.

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Answer:

45

Step-by-step explanation:

To find area, it's length * width. the length is 5 and the width is 9, so you would do 5*9=45

Angles π/2 and 3π/2 and for  0 and π are not in domain of secant function and cosecant function on given interval [0, 2).

The secant function is defined as the reciprocal of the cosine function, which means it is not defined when the cosine function is equal to zero.

In the interval [0, 2), the cosine function is equal to zero at π/2 and 3π/2.

The angles π/2 and 3π/2 are not in the domain of the secant function on the given interval [0, 2).

The cosecant function is defined as the reciprocal of the sine function, which means it is not defined when the sine function is equal to zero.

In the interval [0, 2), the sine function is equal to zero at 0 and π.

The angles 0 and π are not in the domain of the cosecant function on the given interval [0, 2).

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The rational function is expressed as the sum of two simpler rational expressions.

To express the rational function as a sum or difference of two simpler rational expressions, we'll work with the given function:

\((44x^2 - 6x^4 + 4x^3 + 3x - 79) / ((x + 1)(x^2 - 4)^2)\)
First, let's simplify the denominator:

Denominator =\((x + 1)(x^2 - 4)^2 = (x + 1)((x + 2)(x - 2))^2\)

Now, let's express the numerator as the sum of two simpler expressions:

Numerator =\(-6x^4 + 4x^3 + 44x^2 + 3x - 79\)

We can separate the terms with x^3 and x^2, and those with x and the constant:

Numerator = \((-6x^4 + 44x^2) + (4x^3 + 3x - 79)\)
Now we have:

Function =\(((-6x^4 + 44x^2) + (4x^3 + 3x - 79)) / ((x + 1)((x + 2)(x - 2))^2)\)

Thus, the rational function is expressed as the sum of two simpler rational expressions.

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Answer: n = 13

Step-by-step explanation:

To find n, you can look at the equation and see that n is being multiplied by 3 to equal 24. Since 8 times 3 equals 24, you can substitute to solve:

8 = n - 5

n = 13

Therefore, through simplification, n is equal to 13.

I hope this helps!

z+12=15

Answer:

z=3

Step-by-step explanation:

z-(-12)=15

z+12=15

z=15-12

z=3

HOPE IT HELPS :)

a. The price of the consol is approximately $133.33.

b. The new price of the consol would be $100. The price of the consol falls by 24.99% and the interest rate rises by 1%.

c. Your holding period return is approximately -49.99%.

a. The price of the consol can be calculated using the formula for the present value of a perpetuity:

Price = Annual Payment / Interest Rate

In this case, the annual payment is $4 and the interest rate is 3%. Substituting these values into the formula:

Price = $4 / 0.03 ≈ $133.33

Therefore, the price of the consol is approximately $133.33.

b. To calculate the new price of the consol if the interest rate rises to 4%, we use the same formula:

New Price = Annual Payment / New Interest Rate

Substituting the values, we get:

New Price = $4 / 0.04 = $100

The percentage change in the price of the consol can be calculated using the formula:

Percentage Change = (New Price - Old Price) / Old Price * 100

Substituting the values, we have:

Percentage Change in Price = ($100 - $133.33) / $133.33 * 100 ≈ -24.99%

The percentage change in the interest rate is simply the difference between the old and new interest rates:

Percentage Change in Interest Rate = (4% - 3%) = 1%

Comparing the two percentages, we can see that the price of the consol falls by approximately 24.99%, while the interest rate rises by 1%.

c. The holding period return can be calculated using the formula:

Holding Period Return = (Ending Value - Initial Value) / Initial Value * 100

The initial value is the purchase price of the consol, which is $133.33, and the ending value is the price of the consol after one year with an interest rate of 6%. Using the formula for the present value of a perpetuity, we can calculate the ending value:

Ending Value = Annual Payment / Interest Rate = $4 / 0.06 = $66.67

Substituting the values into the holding period return formula:

Holding Period Return = ($66.67 - $133.33) / $133.33 * 100 ≈ -49.99%

Therefore, the holding period return is approximately -49.99%.

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The resulting expression represents the area of the rectangle in terms of 'n'.
Area = (n^3 + 4n^2 + 3nn + 4n + 2)^3 * (n^3 + 7n^2n + 5n + 3)^3

The height of the rectangle is given as (n^3 + 4n^2 + 3nn + 3 + 4n + 2 + 3nn) cubed, plus 4n squared, plus 3n. The width of the rectangle is given as (n^3 + 5n^2n + 3 + 5n + 2n) cubed, plus 5n squared.

To find the area of the rectangle, we need to multiply the height by the width.

Let's simplify the expressions for the height and width separately:

Height:
(n^3 + 4n^2 + 3nn + 3 + 4n + 2 + 3nn) cubed = (n^3 + 4n^2 + 3nn + 4n + 2)^3

Width:
(n^3 + 5n^2n + 3 + 5n + 2n) cubed = (n^3 + 7n^2n + 5n + 3)^3

Now, let's multiply the simplified expressions for the height and width to find the area of the rectangle:

Area = (n^3 + 4n^2 + 3nn + 4n + 2)^3 * (n^3 + 7n^2n + 5n + 3)^3

Since the expressions for the height and width contain variables and exponents, the area of the rectangle cannot be simplified further unless you have a specific value for 'n'. The resulting expression represents the area of the rectangle in terms of 'n'.

Remember to substitute a specific value for 'n' to calculate the actual area of the rectangle.

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Answer: a+b=b+a is a clear example of commutative property.

Step-by-step explanation: The commutative property applies to addition and multiplication. The property states that terms can “commute,” or move locations, and the result will not be affected. This is expressed as a+b=b+a for addition, and a×b=b×a for multiplication. The commutative property does not apply to subtraction or division.

Answer:

x = 27/5

Step-by-step explanation:

Step 1: Write equation

-12 = -5(x - 3)

Step 2: Solve for x

Step 3: Check

Plug in x to verify it's a solution.

-12 = -5(27/5 - 3)

-12 = -5(12/5)

-12 = -12

Answer:

3.4

Step-by-step explanation:

-12=-5(x-3)

destrubute

-5(x)--5(3)=-12

-5x + 15=-12

       -15=-15

-5x=-17

x=-17/-5

x=3.4

Answer:

  no

Step-by-step explanation:

In terms of area per hour, Bob's works at the rate of ...

  1460 ft²/(4 h) = 365 ft²/h

Rhonda's rate is ...

  753 ft²/(1.5 h) = 502 ft²/h

The rates are different, so they are not proportional.

___

Additional comment

Toni's rate is 803 ft²/(2.2 h) = 365 ft²/h . . . the same as Bob's

Bob's and Toni's rates are proportional.

Answer:

1

Step-by-step explanation:

When you simplify, the answer is 1.

Answer:

1

Step-by-step explanation:

In 5 weeks Joe's brother will have more money than Joe

Joe and his brother are collecting money for charity

Joe has collected $170 and he plans to earn $20 weekly

His brother has already collected $80 and he plans to earn $40 weekly

Let's start off with Joe and the amount he will be earning weekly

First week: 170 + 20 = 190

Second week: 190 + 20 = 210

Third week: 210 + 20 = 230

Fourth week: 230 + 20= 250

Fifth week: 250+20= 270

Next is to calculate Joe's brother earnings

First week: 80 + 40 = 120

Second week: 120 + 40 = 160

Third week: 160 + 40 = 200

Fourth week: 200 + 40= 240

Fifth week: 240 + 40 = 280

In five weeks Joe's brother will earn $280 while Joe will earn $270

Hence Joe bother will have more money that joe in 5 weeks

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Answer:

The square root of 20 is 4.472.

Step-by-step explanation:

Answer:

The viewer mistakenly determined that one of the equations in the system should be 2 x + y = 28. Instead modifications should have been made before applying the equation.

Step-by-step explanation:

Given

Total Questions = 20

Total Points = 28

Correct Answers = +2 points

Incorrect Answers = -1 point

Required

Spot the error in the viewer's calculation

The viewer represents the correct answers with x and the incorrect ones with y.

This implies that

\(x + y = 20\)

Also, for every correct answers, she gets 2 points;

This can be represented by 2x

and for every incorrect answers, she gets -1 point

This can be represented by -y

This implies that

\(2x - y = 28\)

This is where the viewer made a mistake

The viewer's mistake is that; instead of subtracting total incorrect points from the correct points, the viewer added them together;

Solving further

\(2x - y = 28\)

\(x + y = 20\)

Add both equations together

\(2x + x + y - y = 28 + 20\)

\(3x = 48\)

Divide both sides by 3

\(\frac{3x}{3} = \frac{48}{3}\)

\(x = \frac{48}{3}\)

\(x = 16\)

Substitute \(x = 16\) in \(x + y = 20\)

\(16 + y = 20\)

Subtract 16 from both sides

\(16 - 16 + y = 20 - 16\)

\(y = 20 - 16\)

\(y = 4\)

This implies that the contestant answered 16 questions correctly and 4 questions incorrectly

Answer: A

Step-by-step explanation:

Answer:

Step-by-step explanation:

1) Why is f(x)=(3x+1/3)^2+8/9 not the vertex form of f(x)=9x^2+2x+1?

A.The expression has a constant outside of the squared term.

B. The expression is not the product of two binomials.

C. The variable x has a coefficient.

D. Some of the terms are fractions instead of integers.

Vertex form is a(x -h)^2 +k. The coefficient of x inside parentheses is 1. The given form is not vertex form because the leading coefficient has not been removed to outside parentheses.

__

2) What is the vertex of the parabola with the equation y=(x−2)^2+10?

A. (−2, −10)

B. (2, 10)

C. (−2, 10)

D. (2, −10)

Vertex form is a(x -h)^2 +k. Comparing to the given equation, we find the vertex (h, k) = (2, 10).

__

3) For the given function, identify the x- and y-intercepts if any, the vertex, the axis of symmetry, and the maximum or minimum value. f(x)=−x^2+25

A. The x-intercepts are (−5,0) and (5,0). The y-intercept is (0,−25). The vertex is (0,−25). The axis of symmetry is x=0. The minimum value of the function is −25.

B. There are no x-intercepts. The y-intercept is (0,25). The vertex is (0,25). The axis of symmetry is y=0. The maximum value of the function is 25.

C. The x-intercepts are (−5,0) and (5,0). The y-intercept is (0,25). The vertex is (0,25). The axis of symmetry is x=0. The maximum value of the function is 25.

D. The x-intercepts are (−25,0) and (25,0). The y-intercept is (0,5). The vertex is (0,5). The axis of symmetry is x=0. The maximum value of the function is 5.

The x-intercepts are the values of x that make y=0. They are (±5, 0). The y-intercept is the value of y when x=0. It is (0, 25).

__

4) A student says that the function f(x)=−x^2−9 has the x-intercepts (−3,0) and (3,0). Is the student correct? If not, explain why.

A. The student is correct.

B. The student is not correct. The equation f(x)=0 has one real solution, so the x-intercept is (9,0).

C. The student is not correct. The equation f(x)=0 does not have any real solutions, so the graph has only one x-intercept, (0,0).

D. The student is not correct. The equation f(x)=0 does not have any real solutions, so the graph does not have any x-intercepts.

The parabola opens downward and has a maximum value of -9, so cannot cross the x-axis. There are no x-intercepts, hence no real solutions.

Answer:

32+30+x=180

Step-by-step explanation:

Answer:

Equation would be

X= 32°+30°+x

Step-by-step explanation:

X= 180°

Hope this helped...

Answer:dsafdf

Step-by-step explanation's

By using  Fundamental Theorem of Calculus, we find the derivative of the function g(x) = In { sqrt( t + t^3)dt } limit from x to 0 is  ln(sqrt(x + x^3)).  The derivative of the function g(x) = { In (1+t^2) dt} where limit are from x to 1 is  ln(1 + x^2).

The Fundamental Theorem of Calculus, which states that if a function is defined as the definite integral of another function, then its derivative is equal to the integrand evaluated at the upper limit of integration.

So, applying this theorem, we have:

g'(x) = d/dx [∫x_0 ln(sqrt(t + t^3)) dt]

= ln(sqrt(x + x^3)) * d/dx (x) - ln(sqrt(0 + 0^3)) * d/dx (0)

= ln(sqrt(x + x^3))

Therefore, g'(x) = ln(sqrt(x + x^3)).

Using the Fundamental Theorem of Calculus, we have:

g'(x) = d/dx [∫1_x ln(1 + t^2) dt]

= ln(1 + x^2) * d/dx (x) - ln(1 + 1^2) * d/dx (1)

= ln(1 + x^2)

Therefore, g'(x) = ln(1 + x^2).

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____The given question is incomplete, the complete question is given below:

Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. 7 g(x) = In { sqrt( t + t^3)dt } limit from x to 0.  8. g(x) = { In (1+t^2) dt} where limit are from x to 1.

Answer:

48

Step-by-step explanation:

To find the least common multiple, we must first start with the greatest common factor. 12 and 16 both have a GCF of 4. 12/4 is 3, and 16/4 is 4, so we must multiply their GCF (4) with these two quotients. 4*3*4 = 48.

Answer:

21

Step-by-step explanation:

We can set Andrea's current age as x.

In 11 years, her age will be half the square of her age 13 years ago. We get the equation:

\(x+11=\frac{(x-13)^2}{2} \\2(x+11)=(x-13)^2\\2x+22=x^2-26x+169\\x^2-28x+147=0\\(x-21)(x-7)=0\\x=21, x=7\)

Ok, now we know that Andreas age could be either 21 or 7. However, the problem states that "in 11 more years my age will be hald the square of my age 13 years ago." It would not make sense for Andrea to be currently 7 if she was not yet born 13 years ago.

Therefore, Andrea's age is 21.

I hope this helps! Let me know if you have any questions :)

Answer:

z = 70°

x = 15

Step-by-step explanation:

70° and z are opposite from each other, so they are equal.

70° and (6x+20°) are adjacent, so they equal 180°.

70° + (6x+20°) = 180°

70° + 20° + 6x = 180°

90° + 6x = 180°

-90° -90°

6x = 90°

Divide each side by 6

x = 15

Answer:

Step-by-step explanation:

Cost before tax = $78 + $32 = $110

Tax = 8.5% of $110 = 0.085 x $110 = $9.35   (\(8.5\%=\frac{8.5}{100} =0.085\))

Total cost = $110 + $9.35 = $119.35