Sketch a graph that represents the following situation:

a) Joe starts out walking quickly and then sprints to the end of his street.

b) He turns around and starts to jog back home.

c) On the way, he stops at a friend's house for a few minutes.

d) He then walks back home.

Answer:

The area remains the same

Step-by-step explanation:

First find the area of the original rectangle

A = l*w = 12*5 = 60 ft^2

Increase the length by 25%

12 + 12*25% = 12 +12*.25= 12+3 = 15

Decrease the width by 20

5 -5*20% = 5-5*.2 = 5-1 = 4

The new area is

A = l*w = 15*4 = 60ft^2

Becca made a total of 24 rolls and 12 biscuits.

Multiplication is one of the four elementary mathematical operations of arithmetic, with the other ones being addition, subtraction, and division. The result of a multiplication operation is called a product.

Becca made 2 trays of rolls and biscuits, with 12 rolls and 6 biscuits in each tray. To find the total number of rolls and biscuits, we need to multiply the number of rolls and biscuits per tray by the number of trays, and then add them together:

Total rolls = 2 trays × 12 rolls per tray = 24 rolls

Total biscuits = 2 trays × 6 biscuits per tray = 12 biscuits

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Answer: I believe the answer is A

Step-by-step explanation:

Because to get the sign f(x) on the interval just count the minus signs, negative signs. Odd number gives you negative product. Even gives you a positive product, So I believe it is A.

the maximum height of a quadratic equation can be find Use the formula: x = -b / (2a) then Substitute the value of x back into the quadratic equation to find the corresponding maximum height.

To find the maximum height of a quadratic equation, you need to determine the vertex of the parabolic curve. The vertex represents the highest or lowest point of the quadratic function, depending on whether it opens upward or downward.

A quadratic equation is generally written in the form of y = ax² + bx + c, where "a," "b," and "c" are coefficients.

The x-coordinate of the vertex can be found using the formula: x = -b / (2a). This formula gives you the line of symmetry of the parabola.

Once you have the x-coordinate of the vertex, substitute it back into the original equation to find the corresponding y-coordinate.

The resulting y-coordinate represents the maximum height (if the parabola opens downward) or the minimum height (if the parabola opens upward) of the quadratic equation.

Here's an example:

Consider the quadratic equation y = 2x² - 4x + 3.

1. Identify the coefficients:

a = 2

b = -4

c = 3

2. Find the x-coordinate of the vertex:

x = -(-4) / (2 * 2) = 4 / 4 = 1

3. Substitute x = 1 back into the equation to find the y-coordinate:

y = 2(1)² - 4(1) + 3 = 2 - 4 + 3 = 1

Therefore, the maximum height of the quadratic equation y = 2x² - 4x + 3 is 1.

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The maximum height of a quadratic equation can be found by determining the vertex of the parabolic shape represented by the equation. The x-coordinate of the vertex can be found using the formula x = -b / (2a), and the corresponding y-coordinate represents the maximum height.

To find the maximum height of a quadratic equation, we need to determine the vertex of the parabolic shape represented by the equation. The vertex is the point where the parabola reaches its highest or lowest point.

The general form of a quadratic equation is ax^2 + bx + c, where a, b, and c are constants. To find the x-coordinate of the vertex, we can use the formula x = -b / (2a).

Once we have the x-coordinate, we can substitute it back into the equation to find the corresponding y-coordinate, which represents the maximum or minimum height of the quadratic equation.

Let's take an example to illustrate this process:

Suppose we have the quadratic equation y = 2x^2 + 3x + 1. To find the maximum height, we first need to find the x-coordinate of the vertex.

Using the formula x = -b / (2a), we can substitute the values from our equation: x = -(3) / (2 * 2) = -3/4.

Now, we substitute this x-coordinate back into the equation to find the y-coordinate: y = 2(-3/4)^2 + 3(-3/4) + 1 = 2(9/16) - 9/4 + 1 = 9/8 - 9/4 + 1 = 9/8 - 18/8 + 8/8 = -1/8.

Therefore, the maximum height of the quadratic equation y = 2x^2 + 3x + 1 is -1/8.

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The order from narrowest to widest is: C) z-interval. A) t-interval with 6 degrees of freedom. B) t-interval with 2 degrees of freedom.

In statistics, the likelihood that a population parameter will fall between a set of values for a certain percentage of the time is referred to as a confidence interval. Analysts frequently employ confidence ranges that include 95% or 99% of anticipated observations. So, it may be concluded that there is a 95% likelihood that the real value falls within that range if a point estimate of 10.00 with a 95% confidence interval of 9.50 - 10.50 is derived using a statistical model.

A confidence interval's breadth is influenced by the sample size and degree of confidence. Higher confidence levels often result in broader intervals, whereas bigger sample numbers typically result in narrower intervals.

In this instance, the three intervals have different degrees of freedom but the same 88% confidence level.

Hence, The order from narrowest to widest is: C) z-interval. A) t-interval with 6 degrees of freedom. B) t-interval with 2 degrees of freedom.

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a) The time at which the velocity is zero is t = 5 seconds.

b) The position of the particle at t = 5 seconds is x = -60 meters, and the distance traveled is d = -100 meters.

c) The acceleration of the particle at t = 5 seconds is a = 18 m/s^2.

d) The distance traveled by the particle from t = 4 seconds to t = 6 seconds is d = 2 meters.

a) To find the time at which the velocity is zero, we need to determine the time when the derivative of the position function, which represents the velocity, equals zero. Taking the derivative of the given position function, we have:

x' = 3t^2 - 12t - 15

Setting x' = 0 and solving for t:

3t^2 - 12t - 15 = 0

Factoring the quadratic equation:

(t - 5)(3t + 3) = 0

From this equation, we find two possible solutions: t = 5 and t = -1. However, since time cannot be negative in this context, the time at which the velocity will be zero is t = 5 seconds.

b) To determine the position and distance traveled by the particle at t = 5 seconds, we substitute t = 5 into the given position function:

x = (5^3) - 6(5^2) - 15(5) + 40

x = 125 - 150 - 75 + 40

x = -60 meters

The position of the particle at t = 5 seconds is x = -60 meters. To find the distance traveled, we calculate the difference between the initial and final positions:

d = x - x_initial

d = -60 - 40

d = -100 meters

Therefore, the distance traveled by the particle at t = 5 seconds is d = -100 meters.

c) The acceleration of the particle at t = 5 seconds can be determined by taking the second derivative of the position function:

x'' = 6t - 12

Substituting t = 5:

x'' = 6(5) - 12

x'' = 30 - 12

x'' = 18 m/s^2

Thus, the acceleration of the particle at t = 5 seconds is a = 18 m/s^2.

d) To find the distance traveled by the particle from t = 4 seconds to t = 6 seconds, we need to calculate the difference in position between these two time points:

d = x_final - x_initial

Substituting t = 6:

x_final = (6^3) - 6(6^2) - 15(6) + 40

x_final = 216 - 216 - 90 + 40

x_final = -50 meters

Substituting t = 4:

x_initial = (4^3) - 6(4^2) - 15(4) + 40

x_initial = 64 - 96 - 60 + 40

x_initial = -52 meters

Calculating the difference:

d = -50 - (-52)

d = -50 + 52

d = 2 meters

Therefore, the distance traveled by the particle from t = 4 seconds to t = 6 seconds is d = 2 meters.

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Answer:

yes it does

Step-by-step explanation:

Answer:

16 < 24 < 25

Step-by-step explanation:

√16 = 4

√25 = 5

The matrix M is: M = [2/9 -8/27 , 4/9 -8/27 ]

Let's say that M is a 2 x 2 matrix that satisfies M × [3 -2 , 6 -8 ] = [-2 16]. This means that the product of matrix M and matrix [3 -2 , 6 -8 ] will give us the result matrix [-2 16].  We know that the product of two matrices is equal to the sum of the products of their corresponding elements.  We can use this knowledge to solve for the unknown elements in matrix M. Let us assume that M = [a b , c d] so that we can solve for its elements.

a(3) + b(6) = -2 ... (1) c(3) + d(6) = 16 ... (2) a(-2) + b(-8) = -2 ... (3) c(-2) + d(-8) = 16 ...

(4)Simplifying equations (1) to (4),  we get:

3a + 6b = -2 ... (5) 3c + 6d = 16 ... (6) -2a - 8b = -2 ... (7) -2c - 8d = 16 ... (8)

Solving for a, b, c, and d, we get:a = 2/9 b = -8/27 c = 4/9 d = -8/27.

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The square of the given numbers 3, 4, and 5 are 9, 16, and 25 respectively.

The square of a number is the product of the number with itself. Therefore, if there is a number x then its square will be the product of x and x. It is denoted by 2 in superscript form over the number whose square is needed to be calculated.

The squares of the given numbers are,

3² = 3 × 3 = 9

4² = 4 × 4 = 16

5² = 5 × 5 = 25

Hence, the square of the given numbers 3, 4, and 5 are 9, 16, and 25 respectively.

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2 [4( 2³ + 5)] - 4²

2 [ 4 (8 + 5)] - 16

2 [ 4 ( 13)] - 16

2 [ 52 ] - 16

104 - 16

88

Answer:

look i think is -5.005 I don't really know but I hope you get it right. Have a good day

The probability that teacher chooses all three boys is 5/42.

According to the given question.

Total number of students = 5 + 4 = 9

Total number of boys = 5

Total number of girls = 4

So, the total number of ways of selectiong three students from 9 students = \(^{9}C_{3}\)

And, the number of ways selecting three students such that all three students will boys = \(^{5} C_{3} \times \ ^{4} C_{0}\)

As we know that, probability is the ratio of favorable outcomes to the total number of outcomes.

Thereofore,

The probability that teacher chooses all three boys

= \(\frac{^{5}C_{3}\times \ ^{4}C_{0} }{^{9}C_{3} }\)

= \(\frac{\frac{5!}{3!2!} }{\frac{9!}{6!3!} }\)

= \(\frac{\frac{5\times4}{2\times 1} }{\frac{9\times 8\times7}{3\times 2} }\)

= (5 × 2)/(3 ×4 ×7)

= 5/42

Hence, the probability taht teacher chooses all three boys is 5/42.

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First, we need to understand what Fourier Trigonometric and Exponential Forms are.

Fourier Trigonometric Form refers to expressing a periodic function as a sum of trigonometric functions, such as sine and cosine. This is done using Fourier Series.
Exponential Form, on the other hand, refers to expressing a complex number as a product of a magnitude and an exponential term with an imaginary exponent. This is also known as Euler's Formula.
Now, let's move on to solving the problem using these forms.
We are not given the function we need to find the Fourier series for, so I will assume it is a periodic function with period 2π.
Using the Fourier Trigonometric Form, we can express the function as a sum of sine and cosine terms:
f(x) = a0/2 + Σ[an cos(nx) + bn sin(nx)]
where a0, an, and bn are coefficients that can be found using the following formulas:
a0 = 1/π ∫[0,2π] f(x) dx
an = 1/π ∫[0,2π] f(x) cos(nx) dx
bn = 1/π ∫[0,2π] f(x) sin(nx) dx
Now, to solve using the Exponential Form, we can rewrite the Fourier Trigonometric Form as:
f(x) = Σ[cn e^(inx)]

where cn is a complex coefficient given by:
cn = (an - ibn)/2
Using Euler's Formula, we can write:
e^(inx) = cos(nx) + i sin(nx)
Substituting this into the Fourier Series equation, we get:
f(x) = Σ[(an - ibn)/2 (cos(nx) + i sin(nx))]
Simplifying, we get:
f(x) = Σ[(an/2 + i bn/2) cos(nx) + (an/2 - i bn/2) sin(nx)]
Finally, we can write this in the Exponential Form as:
f(x) = Σ[dn e^(inx)]
where dn is a complex coefficient given by:
dn = an/2 + i bn/2

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Answer:

it represent the 10 pound and 4000 multiply = ans

Answer: Slope is 2/3, y intercept is 3.

Answer:

X = 56

Step-by-step explanation:

Subtracting 169 degrees from a straight line (180 degrees) gives you 11 degrees. with this information you can add 11 and 114 to get 124. Then you can subtract that amount from 180 (the measure of any triangle) and get your answer which is 56. I hope this helped!

1 pound = 16 ounces

Change 5 1/2 pounds to ounces:

5 1/2 x 16 = 88 ounces

Now compare: 88 ounces is less than 92ounces

Answer: 5 1/2 pounds < 92 ounces

Answer:

5 1/2 pounds < 92 ounces

Step-by-step explanation:

1 pound = 16 ounces  

Changing 5 1/2 pounds to ounces:

=> 5 1/2 x 16 = 88 ounces

=> 88 ounces < 92 ounces  

=> 5 1/2 pounds < 92 ounces

Converting a 941 Schedule B can be broken down into a few simple steps are include the employee's names, Social Security numbers, and total wages paid during the pay period.

First, you'll need to gather all the necessary information required for the conversion process.

Once you have this information, you'll need to calculate the total amount of taxes withheld from each employee's paycheck. This is where mathematical calculations come into play. To calculate the tax withheld, you'll need to use the tax withholding tables provided by the IRS.

These tables will help you determine how much tax to withhold based on each employee's income and filing status. The total amount of tax withheld from each employee's paycheck is then added up to get the total amount of tax withheld for the entire pay period.

Finally, you'll need to transfer this information onto the 941 Schedule B. This document is used to report the total amount of tax withheld for each pay period, and it's essential that the information is accurate.

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If rxy = 0.83, we can conclude that x and y have a relatively strong positive linear relationship or correlation.

The correlation coefficient (r) measures the strength and direction of the linear relationship between two variables, in this case, x and y. The value of r ranges between -1 and 1. A positive value indicates a positive relationship, meaning that as one variable increases, the other variable tends to increase as well.

In this case, with rxy = 0.83, the correlation coefficient is close to 1, suggesting a strong positive linear relationship. This means that when x increases, y also tends to increase, and vice versa. The closer the value of r is to 1, the stronger the linear relationship between x and y.

It is important to note that correlation does not imply causation. While a high correlation coefficient indicates a strong linear relationship, it does not provide information about the underlying cause or direction of the relationship between the variables. Other factors and variables may influence the relationship, and further analysis may be required to understand the nature of the relationship between x and y.

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Answer:

srry cant help im only in middle school

Step-by-step explanation:

Answer:

x = -2

y =3

Step-by-step explanation:

2x-2=-4 + 5x3=15

-4+15=11

4x-2=-8  3x3=9

-8+9=1

If f is onto, and g is bijective, it does follow that f ◦g must be bijective.

Onto is also known as surjective, is a function that maps every element of the range to at least one element of the domain. In a more practical sense, a surjective function is one for which every value in the target set corresponds to at least one value in the domain.

A bijective function is both one-to-one and onto. It is a function in which every element of the domain corresponds to exactly one element of the range and vice versa. Since every element of the domain is paired with exactly one element of the range, a bijective function is also invertible (i.e., every element in the range has a single preimage in the domain).

Hence, if f is onto and g is bijective, it does follow that f ◦g must be bijective.

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Answer:

$23780

Step-by-step explanation:

Given data

Let the original price be x

discount= 20%

price= $19,024

so that

20/100*x=x-19,024

0.2x= x-19,024

19,024=x-0.2x

19,024=0.8x

x= 19,024/0.8

x=23780

Hence the original price is $23780

Answer:

Step-by-step explanation:

8d=-72

d=-9

The p-value for testing H0 (null hypothesis) versus Ha (alternative hypothesis) is 0.0038. We need to determine whether H0 would be rejected at different significance levels: α = 0.10, α = 0.05, α = 0.01, and α = 0.001.

To make the decision, we compare the p-value with the chosen significance level. If the p-value is less than or equal to the significance level, we reject H0. Otherwise, we fail to reject H0.

At α = 0.10: Since the p-value (0.0038) is less than 0.10, we reject H0.

At α = 0.05: Since the p-value (0.0038) is less than 0.05, we reject H0.

At α = 0.01: Since the p-value (0.0038) is greater than 0.01, we fail to reject H0.

At α = 0.001: Since the p-value (0.0038) is greater than 0.001, we fail to reject H0.

In summary:

H0 would be rejected at α = 0.10 and α = 0.05.

H0 would not be rejected at α = 0.01 and α = 0.001.

Please note that the decision to reject or fail to reject the null hypothesis depends on the chosen significance level, and different levels of significance can lead to different conclusions.

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