23.-28. In a manner similar to Example 1, (a) identify input and
output consistent with the general proportional model; (b) write
an equation for the model; (c) determine a numerical value for the
constant k; and (d) solve the problem.
24. The speed of a skidding car is directly proportional to the
square root of the length of the skid. On a snowy road, a car
with good brakes traveling at 40 mph would skid approxi-
mately 178 ft. If the skid marks of a similar car on a similar
road were 400 ft, how fast would this car be traveling?
24. If the skid marks of a similar car on a similar road were 400 ft, how fast would this car be
traveling?

To predict a linear regression score, you first need to train a linear regression model using a set of training data.

Once the model is trained, you can use it to make predictions on new data points. The predicted score will be based on the linear relationship between the input variables and the target variable,

A higher regression score indicates a better fit, while a lower score indicates a poorer fit.

To predict a linear regression score, follow these steps:

1. Gather your data: Collect the data p

points (x, y) for the variable you want to predict (y) based on the input variable (x).

2. Calculate the means: Find the mean of the x values (x) and the mean of the y values (y).

3. Calculate the slope (b1): Use the formula b1 = Σ[(xi - x)(yi - y)]  Σ(xi - x)^2, where xi and yi are the individual data points, and x and y are the means of x and y, respectively.

4. Calculate the intercept (b0): Use the formula b0 = y - b1 * x, where y is the mean of the y values and x is the mean of the x values.

5. Form the linear equation: The linear equation will be in the form y = b0 + b1 * x, where y is the predicted value, x is the input variable, and b0 and b1 are the intercept and slope, respectively.

6. Predict the linear regression score: Use the linear equation to predict the value of y for any given value of x by plugging the x value into the equation. The resulting y value is your predicted linear regression score.

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Answer:        d

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Answer:

The density is the same because both cubes are composed of the same element Iron(Fe).

Answer:

I believe the large cube would be denser.

Step-by-step explanation:

Recursive form of sequence is given by f(n)  = f(n-1) - 3

What is function?

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

here, we have,

The explicit form of sequence is  given as

      f(n) = −3n + 2

So nth term is given by

           f(n) = −3n + 2

(n-1)th term is given by    

           f(n-1) = −3(n-1) + 2

We have

         f(n) -  f(n-1) = −3n + 2 - (−3(n-1) + 2)

          f(n) -  f(n-1) = −3n + 2 +3(n-1) - 2

          f(n) -  f(n-1) = −3n + 2 +3n -3 - 2

          f(n) -  f(n-1) = -3

          f(n)  = f(n-1) - 3

Recursive form of sequence is given by f(n)  = f(n-1) - 3

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No, Lydia's assertion that δSTU is a right triangle is not correct.

A right triangle is a triangle in which one of the angles measures 90 degrees (a right angle). To determine if δSTU is a right triangle, we need to examine the angles formed by the given coordinates.

Using the coordinates:

s (-3, 0)

t (0, -3)

u (3, -3)

We can calculate the slopes of the lines formed by connecting these points to see if any of them are perpendicular (indicating a right angle).

The slope of the line connecting points s and t is:

m(st) = (y₂ - y₁) / (x₂ - x₁) = (-3 - 0) / (0 - (-3)) = -3/3 = -1

The slope of the line connecting points s and u is:

m(su) = (y₂ - y₁) / (x₂ - x₁) = (-3 - 0) / (3 - (-3)) = -3/6 = -1/2

The slope of the line connecting points t and u is:

m(tu) = (y₂ - y₁) / (x₂ - x₁) = (-3 - (-3)) / (3 - 0) = 0/3 = 0

None of the slopes calculated are perpendicular to each other, meaning none of the angles formed by the given coordinates are 90 degrees. Therefore, δSTU is not a right triangle.

In summary, Lydia's assertion that δSTU is a right triangle is incorrect because the angles formed by the given coordinates do not include a 90-degree angle.

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Answer:

2 is the answer

i used pemdas/ order of operations

Step-by-step explanation:

The function f(x)=x+20 is one -to-one. Therefore:

a. The inverse function of f(x) = x + 20 is f⁻¹(x) = x - 20.

b. The verification of the inverse function equation shows that f(f⁻¹(x)) = x and f⁻¹(f(x)) = x, confirming the correctness of the equation.

a. To find the inverse function of f(x) = x + 20, we interchange x and y and solve for y.

Let's start with the equation:

y = x + 20

Interchanging x and y:

x = y + 20

Now, solve for y:

y = x - 20

Therefore, the equation for the inverse function, f⁻¹(x), is f⁻¹(x) = x - 20.

b. To verify that the equation for the inverse function is correct, we can substitute f⁻¹(x) into f(x) and vice versa and check if they result in x.

i. f(f⁻¹(x)):

f(f⁻¹(x)) = f(x - 20) = (x - 20) + 20 = x

ii. f⁻¹(f(x)):

f⁻¹(f(x)) = f⁻¹(x + 20) = (x + 20) - 20 = x

In both cases, we obtain x, which verifies that the equation for the inverse function, f⁻¹(x) = x - 20, is correct.

Therefore, the inverse function of f(x) = x + 20 is f⁻¹(x) = x - 20, and it satisfies the properties f(f⁻¹(x)) = x and f⁻¹(f(x)) = x.

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Answer:

When the truck is full: \(g_{mf} = \frac{m}{8}\)

When the truck is empty: \(g_{me} = \frac{m}{9.6}\)

Step-by-step explanation:

When the truck is full for every eight miles traveled by the vehicle, there is a cost of one gallon of fuel, therefore for every mile the cost is one eight of a gallon, with this information we can create the following expression:

\(g_{mf} = \frac{m}{8}\)

Where m is the number of miles traveled by the truck.

When the vehicle is empty, it's performance improves by 20 %, which means that for the same amount of fuel it'll travel a distance 120% of the previous one. Therefore we need to multiply 1.2 on the denominator of the last expression:

\(g_{me} = \frac{m}{8*1.2}\\\\g_{me} = \frac{m}{9.6}\)

The expression represents the amount of gasoline used (g) is,

When the truck is full (mf) is represented as \(m_f = \dfrac{m}{8}\),

And when the truck is empty (me) is represented as,  \(m_e = \dfrac{m}{9.6}\)

Given that,

A long-distance delivery truck averages 8 miles per gallon when the truck is full.

The miles per gallon improve by 20% when the truck is empty.

We have to determine,

Which expression represents the amount of gasoline used (g) in terms of the number of miles driven when full (mf) and the number of miles driven when empty (me).

According to the question,

The amount of gasoline used (g) in terms of the number of miles driven when full (mf),

And The distance delivery truck averages 8 miles per gallon when the truck is full.

The amount of gasoline when the truck is full is represented as,

\(m_f = \dfrac{m}{8}\)

Then,

The miles per gallon improve by 20% when the truck is empty.

The number of miles driven when empty is represented as,

\(m_e = \dfrac{m}{8 + 8 \times 0.20}\\\\m_e = \dfrac{m}{8+ 1.6}\\\\m_e = \dfrac{m}{9.6}\)

Hence, The expression represents the amount of gasoline used (g) is,

When the truck is full (mf) is represented as \(m_f = \dfrac{m}{8}\),

And when the truck is empty (me) is represented as,  \(m_e = \dfrac{m}{9.6}\).

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Answer:

the first one

Step-by-step explanation:

Area of the trapezoid is  127.5 feet².

A trapezoid, also called a trapezium, is a four-sided polygon or quadrilateral. There is a set of parallel faces and a set of non-parallel faces. The parallel sides of the trapezoid are called the base and the non-parallel sides are called the legs of the trapezoid.

Given,

Sum of bases of trapezoid
a + b = 17 feet

Height of the trapezoid h = 15 feet

Area of the trapezoid

= h(a + b)/2

= 15 × 17/2

= 255/2

= 127.5 feet²

Hence, 127.5 feet² is the area of the trapezoid.

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Answer:

hi hi hi hi hi hi hi hihi hi hi hi hi hi

Answer:

3 students

Step-by-step explanation:

1. Multiply 27 students by 11.111....%

   That would look like:

    27 x 0.1111111111 = 3

2. The answer is 3 students know calligraphy.

A direct relationship between two variables is reflected in a "POSITIVE" correlation coefficient.

Correlation is a statistical technique for measuring and describing the relationship between two variables.

The variables move in the same direction when they have a positive correlation. In other words, as one variable increases, so does the other, and conversely, as one variable decreases, so does the other.

Typically, the two variables are simply observed rather than manipulated. Two scores from the same individuals are required for the correlation.

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To calculate how much AUD Amina will get for AED 800, we can multiply the amount in AED by the conversion rate from AED to AUD.

Given that 1 AED is equivalent to 0.4 AUD, we can set up the following conversion:

AED 800 * (0.4 AUD / 1 AED)

By multiplying AED 800 by the conversion factor of 0.4 AUD / 1 AED, we can find the equivalent amount in AUD.

Calculating the conversion:

AED 800 * (0.4 AUD / 1 AED) = 320 AUD

Therefore, Amina will get 320 AUD for AED 800.

The conversion factor that should be used to convert AED 800 to AUD is 0.4 AUD / 1 AED. This conversion factor represents the exchange rate between the two currencies. It indicates that for every 1 AED, there is an equivalent value of 0.4 AUD.

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Eric will have enough fencing for the following measurements

B. length = 20 yards

width = 5 yards

C. width = 12 yards

perimeter = 48 yards

D. length = 26 yards

area = 22 square yards

For fencing the material Eric has which is 54 yards, is the perimeter of the  flower bed

checking for perimeter using the formula

P = 2 * (length + width)

Also solving for other dimensions when area is given the formula is

= length * width

Values less than 54 yards is within Eric's range

A.  the width is 300 / 30 = 10 and perimeter = 2 * (30 + 10) = 80 yards

B. P = 2(20 + 5) = 50 yards

C. perimeter is given as 48 yards already

D. width = 22 / 26 = 0.846, P = 2 * (26 + 0.846) = 53.692  

E P = 2(16 + 14) = 60 yards

F. P = 162 yards

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Answer:

y = \(\frac{1}{2}\) x + 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = \(\frac{1}{2}\) , then

y = \(\frac{1}{2}\) x + c ← is the partial equation

To find c substitute (- 2, 4) into the partial equation

4 = - 1 + c ⇒ c = 4 + 1 = 5

y = \(\frac{1}{2}\) x + 5 ← equation of line

209 weeks would be taken by the crew to repair 2512 long section of road.

What do you mean by unitary method?

The unitary method is a method of solving a problem by first finding the value of a single unit, then multiplying the value of that single unit to find the necessary value.

Here, it is given to us that a road construction crew can repair a 12 mile section of road each week.

Using unitary method,

Number of week taken by crew for 12 mile section of road = 1 week

Number of week taken by crew for 1 mile section of road = 1/12 week

Number of week taken by crew for 2512 mile section of road = (1/12) × 2512 weeks = 209.333333 weeks ≈ 209 weeks

Therefore, 209 weeks would be taken by the crew to repair 2512 long section of road.

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The integral ∫(-18e+1)dr, using the substitution and partial fractions method, simplifies to -17e + C, where C is the constant of integration.

To evaluate the integral ∫(-18e+1)dr using the substitution and partial fractions method, we follow these steps:

Step 1: Perform the substitution

Let's substitute u = e. Then, we have dr = du/u.

The integral becomes:

∫(-18e+1)dr = ∫(-18u+1)(du/u)

Step 2: Expand the integrand

Now, expand the integrand:

(-18u+1)(du/u) = -18u(du/u) + (1)(du/u) = -18du + du = -17du

Step 3: Evaluate the integral

Integrate -17du:

∫-17du = -17u + C

Step 4: Substitute back the original variable

Replace u with e:

-17u + C = -17e + C

Therefore, the integral ∫(-18e+1)dr, using the substitution and partial fractions method, simplifies to -17e + C, where C is the constant of integration.

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The change in the nominal exchange rate, in Canada's perspective, is a depreciation of the Canadian dollar by 2.76%.

Nominal exchange rate is the price of one currency in terms of another currency. It represents the number of units of one currency that can be purchased with a single unit of another currency. In Canada's perspective, a change in nominal exchange rate means the value of the Canadian dollar in US dollars. So, to calculate the change in nominal exchange rate from Canada's perspective.

Nominal Exchange Rate = Real Exchange Rate x (1 + Inflation of Canada) / (1 + Inflation of US) Given, Real Exchange Rate of Canada

= 4.9% Inflation of Canada

= 8.5% Inflation of US

= 3.8%  Nominal Exchange Rate

= 4.9% x (1 + 8.5%) / (1 + 3.8%) Nominal Exchange Rate

= 4.9% x 1.085 / 1.038 Nominal Exchange Rate

= 5.3099 / 1.038 Nominal Exchange Rate

= 5.11 (rounded to two decimal places)

This means that if there were no inflation, the nominal exchange rate from Canada's perspective would have been 5.11 Canadian dollars per US dollar. But due to inflation, the Canadian dollar depreciated by 2.76% (calculated as (5.11 - 4.97) / 5.11 x 100%). Therefore, the change in the nominal exchange rate, in Canada's perspective, is a depreciation of the Canadian dollar by 2.76%.

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Using the translation concepts, The range changes from {y|y>0}to{yly> 2) and graph is attached below.

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition or in it’s domain(involving values of x).

In the problem, the graph of y = √x is translated so, that the domain of the new function is {x | x>-6} and the range is {yly 20}.

Which has range y > 0. The translation that changes the range is a shift up/down, and in this case it is shifted up 2 units, therefore the range will be of y > 2.

Hence, the correct option will be given by that the range changes from {y|y>0} to {yly> 2).

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Answer:

x = 7       y = 16

Step-by-step explanation:

The dashes on the lines show they are equal in length.

So     y - 4 = x + 5

and     2x + 5 = x + 12

Rearrange   2x + 5 = x + 12  and solve for x:

collect like terms:   2x - x = 12 - 5

                                       x = 7

Now substitute the found value of x into  y - 4 = x + 5  and solve for y:

                                 y - 4 = x + 5

Substitute x=7:          y - 4 = 7 + 5

Add 4 to each side:       y = 7 + 5 + 4

                                        y = 16

The yield rate from initial inquiry through surgery can be calculated by considering the percentage of patients who successfully complete each step of the process.

Step 1: Initial patient calls: 14,000 calls per year
Step 2: Screening out: 25% of initial calls are screened out, which means 75% of the calls proceed to the next step.
Step 3: Showing up for intake appointment: Of the 75% not screened out, 72% show up for their intake appointment. This means 75% * 72% = 54% of the initial calls show up for their intake appointment.
Step 4: Not showing up for surgery: Of the patients who appear for their intake appointment, 40% do not show up for their surgery. Therefore, 60% of the patients who appeared for their intake appointment proceed to the surgery stage.

Now, we can calculate the yield rate by multiplying the percentages of each step:
Yield rate = 75% (step 2) * 72% (step 3) * 60% (step 4)
Yield rate = 0.75 * 0.72 * 0.60 = 0.324 = 32.4%

The yield rate from initial inquiry through surgery is 32.4%.

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Answer:

Step-by-step explanation:

Give jamila's Mean earning = $24

let her ninth earning be x

we know that mean= (∑sumation of earnings)/number of earnings

\(24= \frac{15+20+ 10+ 12+ 20+ 16+ 18+ 25+x}{9}\)

\(24= \frac{136+x}{9} \\24*9=136+x\\216=136+x\\x=136-216\\x=80\)

Her ninth earning is $80

Answer: Each pizza costed $8.25

Step-by-step explanation:

You have to divide $41.25 / 5 to find the cost of each pizza

Answer:

D'wayne plans to wallpaper 43.5 square feet of the wall.

Step-by-step explanation:

72.5% = 72.5/100 = 0.725

mulitiply that by 60

= 43.5 square feet

The correct pair of constraints that needs to be added to specify that production of product 2 in period 4 and in period 5 differs by no more than 80 units is: P24 - P25 <= 80; P25-P24 <= 80. Therefore, the correct option is 5.

Here, the given information is Pij = the production of product i in period j. We need to find the pair of constraints that will specify that production of product 2 in period 4 and in period 5 differs by no more than 80 units. Thus, let the production of product 2 in period 4 and in period 5 be represented as P24 and P25 respectively.

Therefore, we can write the following inequalities:

P24 - P25 <= 80

This is because the production of product 2 in period 5 can be at most 80 units less than that of period 4. This inequality represents the difference being less than or equal to 80 units.

P25-P24 <= 80

This is because the production of product 2 in period 5 can be at most 80 units more than that of period 4. This inequality represents the difference being less than or equal to 80 units.

Therefore, we need to add the pair of constraints P24 - P25 <= 80 and P25-P24 <= 80 to specify that production of product 2 in period 4 and in period 5 differs by no more than 80 units. Hence, option 5 is the correct answer.

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Answer:

20 miles/hour

Step-by-step explanation:

To find the average speed you can divide the Distance by time.

30 ÷ 1.5 = 20

40 ÷ 2 = 20

50 ÷ 2.5 = 20

60 ÷ 3 = 20