Tina walked her dog 12 blocks. This is twice the number of blocks she walked yesterday. How far did Tina walk her dog yesterday?​

Answer: 40 years old.

Step-by-step explanation:

Let man's age = a

Let son's age = b

Since a man is 4 times as old as his son, therefore

a= 4b

In 5 years, he will only be 3 times as old as his son, therefore

a+5=3(b+5)

Apply substitution method :

4b+5=3b+15

b=10

a=40

The table that represents the function for a lawn being mowed more quickly than by Killian's rate is given as follows:

Second table.

The average rate of change of a function is given by the change in the output of the function divided by the change in the input of the function. Hence we must identify the change in the output, the change in the input, and then divide then to obtain the average rate of change.

Killian can cut grass at a rate of 1000 square feet each 10 minutes, hence his average rate of change is given as follows:

1000/10 = 100 square feet per minute.

For the second table, in 7 minutes, 1100 square feet of lawn is mowed, hence the rate is given as follows:

1100/7 = 157 square feet per minute.

It is more quickly than Killian's as the rate of change is greater.

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The simplified form of the complex number in polar form is: 2 < (-7π/6)

To simplify the given complex number in polar form, we can apply the rules of exponentiation and division for complex numbers:

First, let's simplify the numerator:

(2 < 2π/3)^3 = (2^3) < (2π/3 * 3) = 8 < (2π)

(3 < 3π/2) remains the same.

Now, let's simplify the denominator:

4 < (7π/3) remains the same.

Next, let's divide the numerator by the denominator:

[(8 < (2π)) * (3 < (3π/2))] / (4 < (7π/3))

Using the rules of division for complex numbers, we can divide the magnitudes and subtract the angles:

(8/4) < (2π - 7π/3 - (3π/2)) = 2 < (2π/3 - 3π/2 - π/6) = 2 < (-7π/6)

Therefore, the simplified form of the complex number in polar form is:

2 < (-7π/6)

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The correct answers are 1st and 4th i.e translate 2 units down and reflect the triangle.

We can easily deduce that the triangle A'B'C' is 2 units higher than the triangle ABC so if we want to map the both the triangles we have to make the triangle A'B'C' lower in the graph.

So, both the 1st and 4th points translate and reflect down the triangle A'B'C'  which will be mapped according to the triangle ABC.

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Answer:

If you looking for what two variables your looking for the make both of them congruent it would be e and g and then k and f im not sure if thays the answear your looking for hope this helps.

To calculate the percentage error, the following formula would be applied;

ANSWER:

The percentage error, as shown in the calculations above is 3.5 % (to the nearest tenth of a percent)

Answer:

  (b)  -4.5

Step-by-step explanation:

Choosing the correct answer here is not the same as knowing what the correct value is.

You know that √30 < √100 = 10, so the sum must be negative. That is, 10 subtracted from a positive number less than 10 will give a negative result.

You know that 25 < 30 < 36, so √25 < √30 <√36. That is, √30 will be between 5 and 6. If we say √30 ≈ 5.5, then the sum is ...

  -10 +√30 ≈ -10 +5.5 = -4.5

__

Additional comment

Of course, a calculator can tell you the value to the desired precision.

The end behavior of the function is as x tends to infinity, f(x) tends to zero. It is power function.

The end behavior of a polynomial function is the behavior of the graph of f(x) as x approaches positive infinity or negative infinity.

The degree and the leading coefficient of a polynomial function given is determine the end behavior of the graph.

Given that function has a vertical asymptote at x = -5 and x = 3 , a point discontinuity at x = 2.

The end behavior of f(x) goes to 0 as x goes to negative infinity and f(x) goes to 0 as x goes to positive infinity.

The domain is (-inf, -5)U(-5, 2)U(2, 3) U (3,inf).

Hence, we can conclude that the end behavior of the function is as x tends to infinity, f(x) tends to zero.

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Answer:

True

Step-by-step explanation:

Because the angle with positive side of x axis is obtuse angle??

Answer:

4a - 20b - 3c

Step-by-step explanation:

6a - 5b - 8c - 15b - 2a + 5c

= 4a - 20b - 3c

I HOPE IT WILL HELP YOU.

Thank you.

I HOPE YOUR DAY GOES GREAT.

Answer:

12 feet

Step-by-step explanation:

On a scale drawing of a boat, 15 feet are represented by 10 inches.

This means \(15\,\,feet=10\,\,inches\)

\(1\,\,inch=\frac{15}{10}\,\,feet=\frac{3}{2}\,\,feet\)

Now, find the length of the boat if the drawing was 8 inches long.

Length of the boat = \(8(\frac{3}{2})=12\,\,feets\)

So, length of the boat is 12 feets if the drawing was 8 inches long.

The probability that the friend is between 10 and 30 minutes late is approximately 0.6667, or 66.67%.

Since the probability density function is uniform, the probability of the friend being between 10 and 30 minutes late is equal to the area of the rectangle that lies between x = 10 and x = 30, and below the curve of the probability density function.

The height of the rectangle is equal to the maximum value of the probability density function, which is 1/30 since the interval of possible values for x is [0, 30] minutes.

The width of the rectangle is equal to the difference between the upper and lower limits of the interval, which is 30 - 10 = 20 minutes.

Therefore, the probability of the friend being between 10 and 30 minutes late is:

P(10 < x < 30) = (height of rectangle) x (width of rectangle)

= (1/30) x 20

= 2/3

≈ 0.6667

So the probability that the friend is between 10 and 30 minutes late is approximately 0.6667, or 66.67%.

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Answer: 4

Step-by-step explanation: because he needs to divided by 2

MRP Scheme: Determine demand, calculate gross requirements, consider lead time, determine scheduled receipts, calculate planned order receipts, determine planned order release, monitor inventory levels, repeat process periodically. Lot-for-lot ordering, no safety stock.

MRP (Material Requirements Planning) Scheme:

Determine the Demand:

Gather the demand forecast or sales orders for the upcoming period.

Calculate the net demand by subtracting any existing inventory from the total demand.

Calculate the Gross Requirements:

Gross requirements are the total quantity of materials needed to fulfill the net demand.

Consider the lead time of two weeks when calculating the gross requirements.

Determine the Scheduled Receipts:

Check if there are any open purchase or production orders scheduled to arrive within the lead time.

Include the quantities of materials expected to be received during this period.

Calculate the Planned Order Receipts:

Subtract the scheduled receipts from the gross requirements to determine the planned order receipts.

If the planned order receipts are negative, no action is required as the scheduled receipts are sufficient.

If the planned order receipts are positive, create a purchase or production order for that quantity.

Determine the Planned Order Release:

The planned order release specifies when the purchase or production order should be initiated.

It is typically based on the lead time, taking into account any constraints or preferences.

The planned order release should ensure that the materials arrive in time to meet the net demand.

Monitor Inventory Levels:

Keep track of inventory levels regularly to identify any deviations from the plan.

If the actual inventory falls below the net demand, adjust the planned order releases accordingly.

If the actual inventory exceeds the net demand, consider reducing the planned order releases.

Repeat the Process:

Review and update the MRP scheme periodically based on the changing demand and inventory levels.

Continuously adjust the planned order releases to align with the updated requirements.

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The calculated value of f(2) from the function is 3.44

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

f(0) = 86

Also, we have

For each increase in x by 1, the value of f(x) decreases by 80%

This means that the common ratio is

Ratio = 1 - 80%

So, we have

Ratio = 20%

For f(2), we have

f(2) = f(0) * Ratio * Ratio

Substitute the known values in the above equation, so, we have the following representation

f(2) = 86 * 20% * 20%

Evaluate

f(2) = 3.44

Hence, the value of f(2) from the function is 3.44

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The expression \(10^{t^2+2t-3}\) is equivalent to the expression \((10^{t+3})^{t-1\)

An equation is an expression that shows the relationship between two or more numbers and variables.

Given the expression:

\(10^{t^2+2t-3}\\\\=10^{t^2+3t-t-3}\\\\=10^{[t(t+3)-1(t+3)]}\\\\=10^{(t-1)(t+3)}\)

The expression \(10^{t^2+2t-3}\) is equivalent to the expression \((10^{t+3})^{t-1\)

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The equation of the linear regression  is \(\^ y = -7.76\^x + 246.34\)

To determine the line of best fit, we make use of a graphing tool

See attachment for the graph of the line of best fit

From the graphing tool, we have the following calculation summary

The regression Equation is then represented as:

\(\^y = b\^x + a\)

Where:

\(b = \frac{SP}{SSX}\) and \(a = \bar y - b \times \bar x\)

\(b = -\frac{3056}{394}\)

\(b = -7.76\)

Also, we have:

\(a = \bar y - b \times \bar x\)

\(a= 199.8 - (-7.76 \times 6)\)

\(a = 246.34\)

So, the linear regression equation is:

\(\^ y = -7.76\^x + 246.34\)

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Answer:

Step-by-step explanation:

The equation of the linear regression  is

Graphing tool

To determine the line of best fit, we make use of a graphing tool

See attachment for the graph of the line of best fit

The equation

From the graphing tool, we have the following calculation summary

Sum of X = 60

Sum of Y = 1998

Mean X = 6

Mean Y = 199.8

Sum of squares (SSX) = 394

Sum of products (SP) = -3056

The regression Equation is then represented as:

Where:

and

Also, we have:

So, the linear regression equation is:

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The equation of the linear regression is \(\^ y = - 1

Answer:

I think it's D) 3

Step-by-step explanation:

hope I helped

Answer:

$37.5+$3r

Step-by-step explanation:

We can assume that the number of rides is r. Since each ride is $3.00, all rides are $3r ($3xr).

We also know that there are FIVE people going to the fair, with Tory being one and each of her friends. Since the entrance fee is 7.50, we can do 7.50x5 which is $37.5.

Then, you can add it which is $37.5+$3r

The solution to whether the given parameter is a binomial random variable is;

B: No. There is not a fixed number of trials.

A binomial random variable is a number of successes in an experiment consisting of N trails.

Some of the conditions for a binomial random variable are;

- Can only have two outcomes(yes/no questions).

- Each trial must be independent, that is, the probability of a success is always the same in a trial, and the number of trials is fixed.

- It's probabilities must be between 0 and 1.

For each person, there are only two possible outcomes. It's either they are screened, or not.

However, we don't want to know the number of people screened, which is binomial, we want to know the number of people until 10 are screened, which is inverse binomial. Thus, due to the fact that there is not a fixed number of trials, this is not binomial, and the answer is given by option B.

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Answer:

1.65

Step-by-step explanation:

1) Use the algorithm method.

0 . 5 5

×     3

---------------------------------------

1  1

1 . 6 5

where the question??????????????

Answer:

f(x) = -5/9x - 11/9

Step-by-step explanation:

Consider f(x) = y

so if x = -4 => y = 1 and x = 5 => y = -4

so (-4,1) and (5,-4) should be on the same linear equation

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

m = (-4 - 1)/(5 -  -4) = (-5)/(9) = -5/9

y = mx + b

given m = -5/9, x = -4, y = 1

1 = -5/9(-4) + b

b = 1 - 20/9

b = 9/9 - 20/9 = -11/9

so y = -5/9x - 11/9

or f(x) = -5/9x - 11/9

Answer:

\( \boxed{\sf \alpha = - 3.6} \)

Step-by-step explanation:

\( \sf Solve \: for \: \alpha : \\ \sf \implies 1.25\alpha + 7 = 2.5 \\ \\ \sf Subtract \: 7 \: from \: both \: sides: \\ \sf \implies 1.25 \alpha + (7 - \boxed{ \sf 7}) = 2.5 - \boxed{ \sf 7} \\ \\ \sf 7 - 7 = 0 : \\ \sf \implies 1.25 \alpha = 2.5 - 7 \\ \\ \sf 2.5 - 7 = - 4.5 : \\ \sf \implies 1.25 \alpha = \boxed{ \sf - 4.5} \\ \\ \sf Divide \: both \: sides \: of \: 1.25 \alpha = - 4.5 \: by \: 1.25: \\ \sf \implies \frac{1.25 \alpha }{1.25} = - \frac{4.5}{1.25} \\ \\ \sf \frac{1.25}{1.25} = 1 : \\ \sf \implies \alpha = - \frac{4.5}{1.25} \\ \\ \sf - \frac{4.5}{1.25} = - 3.6 : \\ \sf \implies \alpha = - 3.6\)

GiveN:

What to do?

Step-by-step explanation:

For finding \(\alpha\), We need to follow the steps below.

Shifting 7 by subtracting from both sides of the eq.

⇒ 1.25\(\alpha\) = 2.5 - 7

⇒ 1.25\(\alpha\) = -4.5

Now dividing 1.25 from both sides,

⇒ \(\alpha\) = -4.5 / 1.25

⇒ \(\alpha\) = -3.6

Answer:

Answer:

Step-by-step explanation:

You want the equations of a vertical and a horizontal line through a given point, (-7, 2).

All of the points on a vertical line are the same distance from the y-axis. The coordinate of a point that tells the distance from the y-axis is the x-coordinate. Then all of the points on a vertical line will have the same x-coordinate. The line can be described by ...

  x = constant

If the line is to go through a specific point, the constant must be the x-coordinate of that point.

  x = -7 . . . . . . vertical line through (-7, 2)

All of the points on a horizontal line are the same distance from the x-axis. The coordinate of a point that tells the distance from the x-axis is the y-coordinate. Then all of the points on a horizontal line will have the same y-coordinate. The line can be described by ...

  y = constant

If the line is to go through a specific point, the constant must be the y-coordinate of that point.

  y = 2 . . . . . . . . horizontal line through (-7, 2)

Answer:It is a 5 sided polygon known as pentagon.

Step-by-step explanation:

Answer:

Step-by-step explanation:

18 - 7x = -20.5

18 + 20.5 = 7X

38.5 = 7X

X = 38.5/7

X = 5.5

The box plots provide visual representations of the distribution of salaries at two companies, Company A and Company B. To compare the ranges and medians of the data sets, we examine the characteristics of each box plot.

The range of a data set represents the difference between the maximum and minimum values. Looking at the box plots, we can determine that the range of Company A's salaries is larger than the range of Company B's salaries.

This can be inferred by observing the lengths of the whiskers, where the whiskers in Company A's box plot extend further in both the upper and lower directions compared to Company B's box plot.

The median of a data set represents the middle value when the data is arranged in ascending or descending order. Comparing the medians of the two box plots, we can determine that the median of Company A's salaries is higher than the median of Company B's salaries.

This is evident by comparing the positions of the medians within the boxes. In Company A's box plot, the median is closer to the upper quartile, indicating a higher median salary, while in Company B's box plot, the median is closer to the lower quartile, suggesting a lower median salary.

In summary, the range of salaries at Company A is larger than that of Company B, indicating a wider spread of salary values. Additionally, the median salary at Company A is higher than the median salary at Company B, suggesting a higher central tendency or midpoint in the distribution of salaries.

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If we restrict the domain of the function to the portion of the graph with a positive slope, the domain of the inverse function will be the range of the original function for values of x greater than 4, and its range will be all real numbers greater than or equal to 4.

The given function f(x) = |x – 4| + 6 is a piecewise function that contains an absolute value. The absolute value function has a V-shaped graph, and the slope of the graph changes at the point where the absolute value function changes sign. In this case, that point is x=4.

If we restrict the domain of f(x) to the portion of the graph with a positive slope, we are essentially considering the piece of the graph to the right of x=4. This means that x is greater than 4, or x>4.

The domain of the inverse function, f⁻¹(x), will be the range of the original function f(x) for values of x greater than 4. This is because the inverse function reflects the original function over the line y=x. So, if we restrict the domain of f(x) to values greater than 4, the reflected section of the graph will be the range of f⁻¹(x).

The range of f(x) is all real numbers greater than or equal to 6 because the absolute value function always produces a positive or zero value and when x is greater than or equal to 4, we add 6 to that value. The range of f⁻¹(x) will be all real numbers greater than or equal to 4, as this is the domain of the reflected section of the graph.

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In this case, we are to determine the probability of selecting two even numbers. This can be solved as follows:There are six even numbers: {2, 4, 6, 8, 10, 12}.We can use the concept of conditional probability since the first event affects the probability of the second event. This can be expressed as follows:

In this case, P(A) represents the probability of selecting an even number, and P(B|A) represents the probability of selecting an even number given that the first card selected was even. P(A) = 6/12 = 1/2 (there are six even numbers and twelve cards in total)P(B|A) = 5/11 (there are five even numbers left in the box after the first even number is selected, and eleven cards are left in total).

The probability of selecting two even numbers can be found by multiplying these probabilities: P(A) x P(B|A) = (1/2) x (5/11) = 5/22Therefore, the probability of selecting two even numbers is 5/22.Answer: 5/22

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