You notice a stop sign 25 meters ahead causing you to hit the brakes. Your car’s deceleration is -4 m/s2 and it takes you 3.75 sec for your car to come to a stop. If you were originally speeding at 15 m/s before you brake, does your car stop before or after the stop sign? Draw the velocity-time graph for the car as it is braking.

(i) The average values for the variables andre, pri gpa, and act is sum of all the values divided by the total number of values.

(ii) The model atenderte 5 b0 1 b1 prigpa 1 b2act 1 u in equation form  is atenderte = b₀ + b₁ x prigpa + b₂ x act + u

(iii) The slope coefficients is  b₁ and b₂

(iv) The predicted atenderte if prigpa 5 3.65 and act 5 20 is atenderte = b₀ + b₁ x 3.65 + b₂ x 20 + u

(v) if student a has prigpa 5 3.1 and act 5 21 and student b has prigpa 5 2.1 and act 5 26, then the predicted difference in their attendance rates is  0.5

In this exercise, we will be exploring a regression model that predicts the attendance rate of students based on their academic performance variables. We will be using three variables to predict the attendance rate: "andre", "pri gpa", and "act". Here are the answers to the questions:

(i) To obtain the minimum, maximum, and average values for the variables "andre", "pri gpa", and "act", we need to first look at the data. The minimum value is the smallest value for each variable, the maximum value is the largest value for each variable, and the average value is the sum of all the values divided by the total number of values.

(ii) The regression model that predicts the attendance rate is written in equation form as

=> "atenderte = b₀ + b₁ x prigpa + b₂ x act + u".

This equation means that the predicted attendance rate (atenderte) is equal to the intercept (b₀) plus the product of the coefficient for "pri gpa" (b₁) and the value of "pri gpa" plus the product of the coefficient for "act" (b₂) and the value of "act".

(iii) The estimated slope coefficients (b₁ and b₂) tell us the expected change in the attendance rate for each one-unit increase in "pri gpa" or "act". If b₁ is positive, it means that as "pri gpa" increases, the attendance rate is expected to increase. Similarly, if b₂ is positive, it means that as "act" increases, the attendance rate is expected to increase.

(iv) To find the predicted attendance rate if "pri gpa" is 3.65 and "act" is 20, we can substitute these values into the regression equation:

atenderte = b₀ + b₁ x prigpa + b₂ x act + u

atenderte = b₀ + b₁ x 3.65 + b₂ x 20 + u

This will give us the predicted attendance rate for a student with "pri gpa" of 3.65 and "act" of 20. If there are any students in the sample with these values of the explanatory variables, then their actual attendance rate should be close to the predicted value.

(v) To find the predicted difference in attendance rates between student A (with "pri gpa" of 3.1 and "act" of 21) and student B (with "pri gpa" of 2.1 and "act" of 26), we can first use the regression equation to predict the attendance rates for each student:

Student A:

atenderteA = b0 + b1 x 3.1 + b2 x 21 + u

Student B:

atenderteB = b0 + b1 x 2.1 + b2 x 26 + u

Then, we can take the difference between the predicted attendance rates for each student:

=> atenderteA - atenderteB

=> 52.6 - 52.1 = 0.5

This will give us the predicted difference in attendance rates between the two students.

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Answer:

22

Step-by-step explanation:

The result of an average of more than 100% in a survey of tenants on cleaning chores in shared apartments is likely due to social desirability bias.

The average tenant response of more than 100% in a study about cleaning duties in shared apartments is probably the product of social desirability bias. Social desirability bias occurs when respondents give answers that they think are socially acceptable or desirable, rather than their true opinions or behavior.

In this case, tenants may have overstated their contribution to cleaning the apartment, in order to appear more helpful or responsible, leading to an average percentage higher than 100%.

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Answer:

B isa the answer for me it might be wrong for you or switch them

Step-by-step explanation:

The linear equation that represents the scenario is: y = 235x + 15.

Mathematically, the slope of any straight line can be calculated by using this formula;

\(Slope = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}\)

Substituting the given points into the formula, we have;

Slope = (1660 - 955)/7 - 4)

Slope = 705/3

Slope = 235.

Mathematically, the standard form of the equation of a straight line is given by;

y - y₁ = m(x - x₁) or y = mx + c

Where:

By critically observing the graph (see attachment) which models the data in the given table, we can reasonably infer and logically deduce that the linear function is given by: y = 235x + 15.

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Answer:

Interior intersections are those intersecitons inside the main figure. For example, the intersection between two chords of a circle, that represents an interior intersection.

Exterior interseciton are those intersections which happens outside the figure, for example, the intersection of two tangent lines of a circle.

Basically, they are similiar, because both type of intersections are formed by the encounter between two lines or segments.

However, they are different, because each type is formed at different parts of the figure, one inside and one outside.

According to the calculation used to compute it, \(3\frac{1}{3}\) liters of water are required to water all the indoor plants.

The term "operation" in mathematics refers to the process of computing a value utilizing operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. An expression in mathematics is a combination of digits and operations. A mathematical expression that performs an operation has the following components: Operations and Operands

The amount of water needed to water all the indoor plants is 1/3 liter, according to the calculation used to determine this.

\(= 4/3 / 2/5\\ = 4/3 X 5/2\\ = 3\frac{1}{3}\)

Consequently, 3 1/3 liters are needed.

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John Regan, an employee at home depot, made deposits of $700 at the end of each year for 6 years; interest is 6 compounded annually. The value of Regna's annuity at the end of 6 years is $4,902.50.

The value of Regan's annuity at the end of 6 years can be calculated using the formula for the future value of an annuity:

FV = PMT × [(1 + i)^n - 1] / i

Where:

 FV = Future Value

 PMT = Payment amount

 i = Interestratesn = Number of periods

In this case,

 PMT = $700,

 i = 0.06 (6% interest rate), and

 n = 6 (6 years).

Plugging these values into the formula, we get:

 FV = $700 × [(1 + 0.06)^6 - 1] / 0.06

 FV = $700 × [1.4185 - 1] / 0.06FV = $700 × 0.4185 / 0.06

 FV = $4,902.50

Therefore, the value of Regan's annuity at the end of 6 years is $4,902.50.

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Given:

3sqrt(-25) x 3sqrt (5)

Required:

Simplify equation using the multiplication rule.

Explanation:

We are going to take common values.

=3sqrt(-25x 5)

=3sqrt(-125)

=3sqrt x (-125)

= -375 sqrt

Required answer:

-375 sqrt

Answer:

\(\frac{5}{7\\}\) * \(\frac{3}{3}\) = \(\frac{15}{21}\)

Step-by-step explanation:

To get an equivalent fraction, we multiply by a fraction that is equal to one. The purpose is to alter the denominator of the fraction. To get from a denominator of 7 to 21 we multiply by 3. Therefore we will multiply 5/7 by 3/3 to get the new equivalent fraction with a denominator of 21.

Answer:

a0 - 15

Step-by-step explanation:

Answer:

\( \frac{x}{4} + \frac{1}{2} = \frac{1}{8} \)

\( \frac{x}{4} = - \frac{3}{8} \)

\(x = - \frac{3}{2} = - 1 \frac{1}{2} \)

The solution to the equation x/4 + 1/2 = 1/8 is x = -3/2.

Consider the equation, we have only one x term, so taking all the terms without x to the other side and terms with x on one side.

x/4 + 1/2 = 1/8

Take the 1/2 term on the other side,

x/4=1/8 - 1/2

Taking the LCM on the Right side,

x/4 = (1-4) / 8

x/4 = -3/8

Now, we have x/4 so what we can do is, shift the 4 to the other side too, we get,

x = ( -3/8) * 4

x = -3/2

The solution to the equation x/4 + 1/2 = 1/8 is x = -3/2.

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Answer:

I think they'd be saving approximately $300

Step-by-step explanation:

25 times 20 is 500. 500 times .6 is 300 bucks.

The measures of the corresponding inscribed angles, and then add those angles together to find the measure of angle L. Therefore, the measure of angle L is 64 degrees.

The Inscribed Angle Theorem states that the measure of an inscribed angle is half the measure of its intercepted arc. In other words, if we have an angle whose vertex is on the circumference of a circle, and whose sides intersect two points on the circumference, then the measure of the angle is half the measure of the arc between those two points.

In this problem, we are given the measures of two arcs, DR and SV, and we want to find the measure of angle L. We can start by using the Inscribed Angle Theorem to find the measures of the corresponding inscribed angles. Let's call these angles A and B, where A is the inscribed angle that intercepts arc DR, and B is the inscribed angle that intercepts arc SV.

Using the Inscribed Angle Theorem, we can find that m∠A=12m⌢DR=12(34∘)=17∘m∠B=12m⌢SV=12(94∘)=47∘

To find the measure of angle L, we simply add angles A and B together: m∠L=m∠A+m∠B=17∘+47∘=64∘

Therefore, the measure of angle L is 64 degrees.

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The weight of the truck,  When a loaded truck pulls onto it, the boat sinks an additional 5.00cm into the river is  11,788 N.

To discover the weight of the truck, we ought to utilize the concept of buoyancy.

When the truck pulls onto the vessel, it uproots a sum of water that breaks even with its claimed weight. The weight of this uprooted water makes an upward buoyant constraint on the pontoon.

The watercraft sinks an extra 5.00 cm, which suggests that the buoyant constraint breaks even with the weight of the truck furthermore the weight of the uprooted water, and this adds up to the weight causing the boat to sink assist.

Let's accept that the thickness of water is 1000 kg/m³ (this can be ordinary esteem for new water). The volume of water uprooted by the pontoon is rise to its length times its width times the profundity it sinks into the water:

V = (6.00 m)(4.00 m)(0.05 m) = 1.20 m³

The weight of this uprooted water is:

Wwater = Vρg = (1.20 m³)(1000 kg/m³)(9.81 m/s²) ≈ 11,788 N

where ρ is the thickness of water and g is the speeding up due to gravity.

Since the buoyant drive is broken even with the weight of the truck furthermore the weight of the uprooted water, we have:

Wtruck + Wwater = Fbuoyant

where Wtruck is the weight of the truck and Fbuoyant is the buoyant drive. Ready to improve this condition to illuminate for the weight of the truck:

Wtruck = Fbuoyant - WWater

The buoyant drive is broken even with the weight of the water uprooted by the watercraft, which we calculated prior to being around 11,788 N. In this manner:

Wtruck = 11,788 N - 0

 Wtruck ≈ 11,788 N

So, the weight of the truck is around 11,788 N. 

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The full question is

A small ferryboat is 4.00m wide and 6.00m long. When a loaded truck pulls onto it, the boat sinks an additional 5.00cm into the river. What is the weight of the truck?

The  transformation of \(\(y= \frac{x^{4} }{6x+6}\)\) graph is compressed by a factor of 2.

The function is a rational function in which the numerator is a degree 4 polynomial, and the denominator is a degree 1 polynomial.

Rational functions are in the form of \(\(f(x) = \frac{p(x)}{q(x)}\)\), where p(x) and q(x) are polynomial functions and the degree of p(x) is less than the degree of q(x).

To transform a graph of a function, one can translate, stretch, or reflect it.

Here are some of the transformations of the function \(\(y= \frac{x^{4} }{6x+6}\)\)

Vertical Shift: To get the new graph, we add or subtract a constant from the function.

When f(x) is replaced with f(x) + k, we get a graph that is k units above the graph of f(x). In this case, if we subtract 2 from the equation, we get the following equation:

\(y = (x^4) / (6x+6) - 2\)

This means that the graph of the function is shifted 2 units downwards.

Horizontal Shift: To get the new graph, we add or subtract a constant to the variable.

When f(x+c) is replaced with f(x), the graph is shifted c units to the left.

When f(x-c) is replaced with f(x), the graph is shifted c units to the right.

In this case, we can shift the graph by substituting x-2 for x in the function.

The new function is: \(y = ((x-2)^4) / (6(x-2)+6)\)

This means that the graph is shifted 2 units to the right.

Vertical Stretch/Compression: When a constant is multiplied to the function, the graph is vertically stretched or compressed.

In this case, if the function is multiplied by 2, we get the following function:

\(y = 2(x^4) / (6x+6)\)

This means that the graph is compressed by a factor of 2.

It can also be stretched by dividing the function by a constant.

Horizontal Stretch/Compression:

When a constant is multiplied to the variable of the function, the graph is horizontally stretched or compressed. In this case, if the variable is divided by 2, we get the following function:

\(y = (x^4) / (3x+3)\)

This means that the graph is compressed by a factor of 2.

It can also be stretched by multiplying the variable by a constant.

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According to the empirical rule, approximately 95% of the data falls within two standard deviations of the mean. Therefore, the approximate percentage of daily phone calls numbering between 35 and 75 is 95%.

We have been given that the number of phone calls answered each day by each of the 12 receptionists is bell-shaped and has a mean of 55 and a standard deviation of 10.

We are asked to find out the approximate percentage of daily phone calls numbering between 35 and 75 using the empirical rule.

The empirical rule is used to describe how many of the observations fall within a certain distance of the mean in a normal distribution of data.

The empirical rule states that approximately 68% of the data falls within one standard deviation of the mean, 95% falls within two standard deviations of the mean, and 99.7% falls within three standard deviations of the mean.

To use the empirical rule, we first need to find the z-scores for the values of 35 and 75. We can use the formula

z = (x - μ) / σ,

where x is the value we want to find the z-score for, μ is the mean of the distribution, and σ is the standard deviation of the distribution.

For x = 35, we have

z = (35 - 55) / 10 = -2, and

for x = 75, we have

z = (75 - 55) / 10 = 2.

So, the values of 35 and 75 are 2 standard deviations away from the mean. According to the empirical rule, approximately 95% of the data falls within two standard deviations of the mean.

Therefore, the approximate percentage of daily phone calls numbering between 35 and 75 is 95%.

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Answer:

C

Step-by-step explanation:

f(x) - g(x)

= \(\sqrt{x}\) - x - (2x³ - \(\sqrt{x}\) - x) ← distribute parenthesis by - 1

= \(\sqrt{x}\) - x - 2x³ + \(\sqrt{x}\) + x ← collect like terms

= - 2x³ + 2\(\sqrt{x}\)

The formula for the world population \(t\) years after 1950 would be,

\(p = 2.519 \times 1.0177^t\)

where \(t\) is the time duration in years.

The world population in 1950 was 2,519 million or 2.519 billion.

Population after 1950 can be defined as a compounded growth at the rate of 1.77% per year.

We can define compound growth as the average rate of growth experienced by an investment over a multi-year period. One way to think about the compound growth rate is that it takes all the hills and valleys into account when considering the investment landscape.

An expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

This can be modeled as follows:

\(p = 2.519 \times 1.0177^t\)

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The profit to be made when she sells the house is $103,800.

The first step is to determine the value of Tammy's house in 13 years. The formula to be used is:

$184,000 x (1.035)^13 = $287,767.92

Profit = value of the house in 13 years - cost of the house

$287,767.92 - $184,000 = 103,767 = $103,800

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A regular polygon is a polygon with all sides and angles congruent. It exhibits symmetry and uniformity in its sides and angles, creating a visually appealing shape.

A polygon with all sides and angles congruent is called a regular polygon. In a regular polygon, all sides have the same length, and all angles have the same measure. This uniformity in the lengths and angles of the polygon's sides and angles gives it a symmetrical and balanced appearance.

Regular polygons are named based on the number of sides they have. Some common examples include the equilateral triangle (3 sides), square (4 sides), pentagon (5 sides), hexagon (6 sides), and so on. The names of regular polygons are derived from Greek or Latin numerical prefixes.

In a regular polygon, each interior angle has the same measure, which can be calculated using the formula:

Interior angle measure = (n-2) * 180 / n

Where n represents the number of sides of the polygon.

The sum of the interior angles of any polygon is given by the formula:

Sum of interior angles = (n-2) * 180 degrees

Regular polygons have several interesting properties. For instance, the

exterior angles of a regular polygon sum up to 360 degrees, and the measure of each exterior angle can be calculated by dividing 360 degrees by the number of sides.

Regular polygons often possess symmetrical properties and are aesthetically pleasing. They are commonly used in design, architecture, and various mathematical applications.

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Answer: I split it up and got 4.

Step-by-step explanation: You will have to split it up into equal pieces.

Answer:

Step-by-step explanation:

The sum of the interior angles of a triangle is 180 degrees

Kite........................

We need to solve the algebraic expression:

-2(x+8) + 6(5 + (_)x) = 10x + 14

Expanding the operations and grouping similar terms:

-2x -16 + 30 + 6(_)x = 10x + 14

-2x + 6(_)x -16 + 30 = 10x + 14

To solve this, we need to equaling each similar term at both sides of the equation:

-2x + 6(_)x = 10x [1]

-16 + 30 = 14 [2]

14 = 14

We need to solve the following equation:

-2x + 6(_)x = 10x

We can rewrite the previous equation as follows:

-2 + 6x = 10

6x = 10 + 2

x = (12/6)

x = 2

Checking the previous result, we have:

-2 + 6(2) = 10

-2 + 12 = 10

10 = 10

Then the value for the blank in the question is 2.

Checking equation [1]:

-2x + 6(2)x = 10x

-2x + 12x = 10x

10x = 10x

Therefore, we have then:

10x + 14 = 10x + 14

Answer: y=4x+9

Step-by-step explanation:

M= 1+11/-2+5= 12/3= 4

y=mx+b

1=4(-2)+b

1=-8+b

b=9

y=4x+9

Answer:

Interest = $72,000

Step-by-step explanation:

We know the interest formula is:

Interest = Principal x Rate x Time

First, put in the numbers:

Interest = $75,000 x 8% x 12 years

Then calculate:

Percent means over a hundred, so 8% is 8 over 100:

Interest = $75,000 x \(\frac{8}{100}\) x 12 years

Put $75,000 over 1, so you can multiply it with 8%:

Interest = $6,000 x 12 years

Finally, multiply:

Interest = $72,000

Therefore, to achieve the future balance of $75,000, Eric needs an interest of $72,000.

We can use the formula for the present value of an annuity to find the periodic deposit needed to achieve a future balance of $75,000 in 12 years at an annual interest rate of 8%, compounded annually.

The formula for the present value of an annuity is:

P = (PMT x [1 - (1 + r)^-n]) / r

Where:

PMT = periodic payment

r = interest rate per period

n = number of periods

P = present value

In this case, we want to solve for PMT. We know that the future value (FV) is $75,000, the interest rate (r) is 8%, compounded annually, and the number of periods (n) is 12.

First, we need to find the present value (P) of the annuity using the formula for future value:

FV = P x (1 + r)^n

$75,000 = P x (1 + 0.08)^12

$75,000 = P x 2.51817

P = $75,000 / 2.51817

P = $29,753.08 (rounded to the nearest cent)

Now we can plug in the values we know into the formula for the present value of an annuity and solve for PMT:

$29,753.08 = (PMT x [1 - (1 + 0.08)^-12]) / 0.08

$29,753.08 = (PMT x 6.71008) / 0.08

PMT = ($29,753.08 x 0.08) / 6.71008

PMT = $354.55 (rounded to the nearest cent)

Therefore, Eric needs to make a periodic deposit (payment) of $354.55, invested at an annual interest rate of 8%, compounded annually, to achieve a future balance of $75,000 for his child's college education in 12 years.

Answer:

Solve systems of equations by graphing

A system of linear equations contains two or more equations e.g. y=0.5x+2 and y=x-2. The solution of such a system is the ordered pair that is a solution to both equations. To solve a system of linear equations graphically we graph both equations in the same coordinate system. The solution to the system will be in the point where the two lines intersect.

Example

\(\left \{ {{y=2x+2} \atop {y=x-1}} \right.\)

Graph the equations in a coordinate plane

The two lines intersect in (-3, -4) which is the solution to this system of equations.

Step-by-step explanation:

ok umm i fell asleep bye

Answer:1,829

Step-by-step explanation:

The statement that knowing the value of x tells you nothing about the value of y can be explained by several scenarios. One possible scenario is when the values of x and y are not related in any way. In other words, there is no mathematical or logical connection between them.

Another scenario where knowing the value of x tells you nothing about the value of y is when there are multiple possible values of y for a given value of x. This occurs when the relationship between x and y is not one-to-one. For instance, if x represents a person's age and y represents their height, knowing someone's age does not determine their height since there are different heights for different ages.

Furthermore, it is possible that there is a relationship between x and y, but the value of y is affected by other factors besides x. For example, if x represents the amount of time a student spends studying and y represents their grade on a test, knowing the value of x does not completely predict the value of y because other factors like natural ability and test-taking skills may also play a role in determining the grade.

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