Use the following information to graph the value of a car over time:The average price of a new car in the United States is approximately $30,750.The value decreases each year at an exponential rate and approaches an asymptote whoseequation is y = 0.The average car loses nearly half its original value after 5 years.For what values of x is the graph positive? What is the domain of this function? Identify theminimum and maximum of this graph.

Answer:

500 pts  :DDDD

Step-by-step explanation:

1 )   y = mx + b

hmmm 2 is wrong

2)  y = -a\(x^{2}\)+bx+c

I'm unsure about 3 also  hmm

3)  y = a\(x^{y}\)

Answer:

Equation 5 + 2(3 + 2x) = x + 3(x + 1) has no solution.

Step-by-step explanation:

We are looking at two lines.

4(x + 3) + 2x = 6(x +2)

4x + 12 + 2x = 6x + 12

6x + 12 = 6x + 12

These are two identical lines, with an infinite number of solutions. (All points on the lines are the exactly the same).

5 + 2(3 + 2x) = x + 3(x + 1)

5 + 6 + 4x = x + 3x + 3

4x + 11 = 4x + 3

Both lines have the same gradient but have a different incline with the y axis. By definition, they are parallel to each other and there fore have zero solutions. Equation 5 + 2(3 + 2x) = x + 3(x + 1) has no solution, which is the answer we are looking for.

5(x + 3) + x = 4(x +3) + 3

5x + 15 + x = 4x + 12 + 3

6x + 15 = 4x + 15

These are two different lines with exactly one solution.

4 + 6(2 + x) = 2(3x + 8)

4 + 12 + 6x = 6x + 16

6x + 16 = 6x + 16

These are two identical lines, with an infinite number of solutions. (All points on the lines are the exactly the same).

A stem club has 30 members and to find out how many ways are there to choose 4 members of the club to serve on an executive committee is as follows:

Given the stem club has 30 members.

The number of ways to choose 4 members of the club to serve on an executive committee is to be considered as 30c4

we know that the formula is

     \(n{cr}\) = \(\frac{n!}{(n-r)!r!}\)

there n = 30 and r = 4

that is., \(30_{c4}\) = \(\frac{30!}{(30-4)!4!}\)

                  = \(\frac{30!}{26!4!}\)

                  = 29x15x7x9  = 27,405

Hence, the number of ways to choose 4 members of the club to serve on an executive committee is equal to 27,405.

Hence the number of ways to choose an executive member = 27,405

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The number of black beads is 42, the number of white beads is 12, and there are 30 more black beads than white beads.

Mabel has a total of 54 decorative beads, some are black, and some are white. The ratio of the number of black beads to the number of white beads is 7:2. We have to find how many more black beads than white beads.

Let the total number of black beads be 7x, and that of white beads be 2x, respectively.

So, according to the problem, 7x + 2x = 54⇒ 9x = 54⇒ x = 6

Hence, the total number of black beads = 7x = 7 × 6 = 42

And the total number of white beads = 2x = 2 × 6 = 12

Therefore, the required difference between the number of black beads and white beads is 42 - 12 = 30.

Therefore, there are 30 more black beads than white beads.

: The number of black beads is 42, the number of white beads is 12, and there are 30 more black beads than white beads.

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Answer:

20 total exhibits at the zoo

Step-by-step explanation:

55% of 20 = 11 (monkeys)

The described sampling method is an example of random sampling.

The sampling method described in the question is known as simple random sampling, which is a common method of selecting a representative sample from a population.

In this method, each member of the population is assigned a unique number, and a certain number of individuals are selected randomly from the population.

Simple random sampling is a type of probability sampling, which means that each member of the population has an equal chance of being selected for the sample.

This is important because it ensures that the sample is representative of the population as a whole, and reduces the risk of sampling bias.

The process of simple random sampling is straightforward and easy to implement, making it a popular choice for researchers. However, it can be time-consuming and may not be practical for very large populations. In such cases, other sampling methods such as stratified sampling or cluster sampling may be more appropriate.

Overall, simple random sampling is a reliable and effective method of selecting a representative sample from a population, and is widely used in research studies and surveys.

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Answer:

the answer is probably 7/6

hope I am correct and if not I'm sorry

Answer:5^15

Step-by-step explanation: I am Smart :>

Answer:

\(5^{15}\)

Step-by-step explanation:

\(\frac{(5^3)^9}{5^{12}} \\\\\frac{5^{27}}{5^{12}} \\\\5^{15}\)

3 x 9 = 27

27 - 12 = 15

The -5⁻³ matches with -1/125, (-5⁻³)⁻¹ matches with -125, and (-5⁻³)⁰ matches with 1.

In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.

5⁻³ = 1/5³ = 1/125

-5⁻³ = -1/5³ = -1/125

(-5⁻³)⁻¹ = (-1/5³)⁻¹ = (-1/125)⁻¹ = -125

(-5⁻³)⁰ = 1   \(\rm (a^0 = 1)\)

Thus, the -5⁻³ matches with -1/125, (-5⁻³)⁻¹ matches with -125, and (-5⁻³)⁰ matches with 1.

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Answer:

\(\sf{1)\ 5^{-3}={\dfrac{1}{5^3}={\dfrac{1}{125}\)

\(\sf{2)\ -5^{-3}={\dfrac{1}{-5^3}=-{\dfrac{1}{125}\)

\(\sf{3)\ \left(-5^{-3}\right)^{-1}=\left(-5^{-3\times-1}\right)=-5^{3}=-125}\)

\(\sf{4)\ \left(-5^{-3}\right)^{0}=1\)

Step-by-step explanation:

Exponent Property Rules:

⟹ Zero Exponent Property - ex: x⁰ = 1

An integer (excluding 0) with an exponent of zero equals one.

⟹ Negative Exponent Property - ex: x⁻ⁿ = \({\dfrac{1}{x^n}\)

Any number raised to a negative power is equivalent to the reciprocal of the number's positive exponent.

⟹ Power of Product Property - ex: (xy)ⁿ = xⁿ × yⁿ

To find the power of a product, multiply the power of each factor.

\(\sf{1)\ 5^{-3}={\dfrac{1}{5^3}={\dfrac{1}{125}\)

\(\sf{2)\ -5^{-3}={\dfrac{1}{-5^3}=-{\dfrac{1}{125}\)

\(\sf{3)\ \left(-5^{-3}\right)^{-1}=\left(-5^{-3\times-1}\right)=-5^{3}=-125}\)

\(\sf{4)\ \left(-5^{-3}\right)^{0}=1\)

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The probability that now the number of sold will not deviate more than 1 standard deviation from the average is 0.74.

The given data is

x 1 2 3 4 5 6 7 8

p(x) 0.04 0.10 0.13 0.30 0.31 0.10 0.01 0.01

(a) calculate mean value of x:

μ = E(x)

  = ∑(xi.P(xi))

 = 4.13

(b)  calculate variance of x:

σ² = ∑(xi - E(x))².P(xi)

   = 1.81331

(c)  calculate standard deviation of x:

σ = √σ²

σ = √1.831

σ = 1.3539

The likelihood that the quantity of systems sold will be within one standard deviation of the its mean:

P(μ  - σ < x < μ  + σ ) = P(4.13 - 13539 < x < 4.13 + 1.3539)

                                = P(2.7761 < x < 5.4839)

                                = P(x = 3) + P(x = 4) + P(x = 5)

                                = 0.13 + 0.30 + 0.31

                                = 0.74

Thus, the probability that now the number of sold will not deviate more than 1 standard deviation from the average is 0.74.

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The complete question is-

Suppose that for a given computer salesperson, the probability distribution of x = the number of systems sold in one month is given by the following table.

x 1 2 3 4 5 6 7 8

p(x) 0.04 0.10 0.13 0.30 0.31 0.10 0.01 0.01

What is the probability that the number of systems sold is within 1 standard deviation of its mean value?

The required white effective interest rate is 0.71% more than his nominal interest rate.

Compound interest is the interest on deposits computed on both the initial principal and the interest earned over time.

Here,

White Effective interest R,
\(R=(1+i/m)^m)-1\\R=(1+0.1362/4)^4)-1\\R =0.1433*100=\)
R = 14.33 percent

So

Difference in interest = 14.33%-13.62%
                                    =0.71%

Thus, the required white effective interest rate is 0.71% more than his nominal interest rate.

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Therefore, the number of commercials Lee saw last night is x + 20.

Last night, Lee watched TV for a long time because a movie marathon was on. He saw 20 more commercials than he did on the night he watched the most TV last week. Let the number of commercials Lee watched last week be x.

Now we have to determine the number of commercials Lee watched last night when he saw 20 more commercials than he did on the night he watched the most TV last week. If we let the number of commercials Lee watched last week be x, then the number of commercials Lee saw last night can be written as:

x + 20

The above expression is equivalent to 20 more commercials than the number of commercials Lee saw last week. Therefore, the answer is x + 20.

Now we can calculate the value of x by using the information provided in the question. If we subtract 20 from the number of commercials Lee saw last night, we should get the number of commercials he saw last week, that is:

x = (x + 20) - 20x

= x

Therefore, we can see that there is no unique solution for the number of commercials Lee saw last night. It all depends on the value of x, the number of commercials Lee watched last week. If we know this value, we can easily calculate the number of commercials Lee saw last night.

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The Null Hypothesis H₀ µ = 6.00.

The Alternative Hypothesis Hₐ µ ≠ 6.00.

The test statistic and the p-value are 6.27 and p < 0.0001.

The concluding statement is earthquakes are not from a population with a mean = 6.00 km.

To test the claim of a seismologist that the earthquakes are from a population with a mean equal to 6.00,

set up the following hypotheses,

Null Hypothesis (H₀),

The population mean is equal to 6.00 (µ = 6.00)

Alternative Hypothesis (Hₐ),

The population mean is not equal to 6.00 (µ ≠ 6.00)

Next, calculate the test statistic and the p-value.

The test statistic for this scenario is the t-statistic, which follows a t-distribution.

Since we have the sample mean, sample standard deviation, sample size, and assuming a simple random sample has been selected,

use the t-test formula.

t = (X - µ) / (s / √n)

where X is the sample mean (6.82 km),

µ is the population mean (6.00 km),

s is the sample standard deviation (4.59 km),

and n is the sample size (500).

Plugging in the values, we have,

t = (6.82 - 6.00) / (4.59 / √500)

 ≈ 6.27

To find the p-value associated with this t-statistic,

find the probability of observing a t-value as extreme or more extreme than 6.27,

The degrees of freedom (df) which is equal to n - 1.

Using a t-distribution calculator,  

The p-value for a two-tailed test with df = 499 and a t-value of 6.27 is extremely small, approximately p < 0.0001.

Since the p-value (p < 0.0001) is less than the significance level of 0.01, reject the null hypothesis.

Therefore, for the given data ,

Null Hypothesis H₀ states that µ = 6.00.

Alternative Hypothesis Hₐ  states that µ ≠ 6.00.

Test statistic and p-value are equal to 6.27 and p < 0.0001.

There is sufficient evidence to conclude that the earthquakes are not from a population with a mean equal to 6.00 km.

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The statement, When two events are disjoint, they are also independent is false.

In a sample space, we can use probability laws to determine the probabilities of these events and how they relate to each other. Disjoint Events: Two events are non-overlapping or mutually exclusive if they have no common outcome. Mathematically, this can be written as, P(B ∩ A) = 0 --(1)

Independent Events: Events are independent when they do not "affect" the probability of another event occurring. Mathematically written as:

P(B/A) = P(B) P(A and B)

=> P(B ∩ A) = P(B) × P(A) --(2)

(1) ) and (2) events cannot be independent unless they overlap. That is, if events do not overlap, they are also dependent. Hence, disjoint events are not independent that means the above statement is false.

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The expected return for the given random variable from the insurance company if you take out this insurance is 5,300p - 300.

To complete the payoff table for the random variable X,

consider the different outcomes and their corresponding probabilities.

Let's assume that the probability of the painting being stolen during the year is denoted by p.

Here are the possible outcomes and their corresponding payoffs,

The painting is stolen,

Payoff = $5,000 (the insurance payout)

Probability=p

The painting is not stolen,

Payoff =  -$300 (the premium paid)

Probability= 1 - p (the complement of the probability of theft)

Now, let's put these outcomes and probabilities into a payoff table,

Outcome                                 Payoff ($) Probability

The painting is stolen                       5,000 p

The painting is not stolen                 -300 1 - p

The expected return is the sum of the products of each payoff and its corresponding probability,

Expected return = (Payoff 1 × Probability 1) + (Payoff 2 × Probability 2) + ...

Expected return = (5,000 × p) + (-300 × (1 - p))

Simplifying further, we have,

Expected return = 5,000p - 300 + 300p

Expected return = 5,300p - 300

Therefore, the expected return from the insurance company if you take out this insurance is 5,300p - 300.

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The above question is incomplete, the complete question is:

The annual premium for a $5,000 insurance policy against the theft of a painting is $300. If the (empirical) probability that the painting will be stolen during the year is what is your expected return from the insurance company if you take out this insurance? Question 75 a. Let X be the random variable for the amount of money received from the insurance company in the given year.  E(X) = _____ dollars . Complete the payoff table for the random variable X .

Hello!

Plug in the value of x:

f(x)=5(x-3)+17

f of x is 5 times the difference of x and 3 plus 17

plug in 2:

f of 2 is 5 times the difference of 2 and 3 plus 17

f(2)=5(2-3)+17

f(2)=5(-1)+17

f(2)=-5+17

f(2)=12

\(\huge\boxed{\mathfrak{Answer:{\boxed{\rm{f(2)=12\star\star}}}}}\)

Hope everything's clear.

Let me know if you have any questions!

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\(\boxed{An~Emotional~Helper!} :-)\)

Answer:

The reason why points and lines my be co-planer even when the plane containing them is not drawn is because the by their definition two lines or a line and a  point or three points which are fixed in space always have have a direction of view from which they appear as a single line, or for the three points, appear to be on a single line.

This can be demonstrated by the shape of a cross which is always planner

Examples include

1) Straight lines drawn across both side of the pages of an open book to meet at the center pf the book can always be made planner by the orientation#

2) This can be also demonstrated by the plane of the two lines in the shape of a cross which is always planner regardless of the orientation of the cross

3) The dimension that can be defined by three points alone is that of a planner  (2-dimensional) triangle shape

Step-by-step explanation:

The statement that best proves that <XWY ≅ <ZYW is that two parallel lines are cut by a transversal, then the alternate interior angles are congruent

To determine the correct statement, we need to know the properties of a parallelogram.

These properties includes;

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Main AnswerIn the study by Hoynes (2012), the population that is of interest to the researchers are families who receive Supplemental Nutrition Assistance Program (SNAP) or more commonly known as food stamps. The study examines the impact of the policy-driven change in economic resources available in utero and during childhood on the economic health of individuals in adulthood.

The sample that the study examines are 60,782 families over the time period of 1968 to 2009, which is subsequent to the introduction of the Food Stamp Program in 1961. The data links family background in early childhood to adult health and economic outcomes.The characteristics of the population that are of interest to the researchers are the impact of a positive and policy-driven change in economic resources available in utero and during childhood on the economic health of individuals in adulthood. Specifically, the researchers looked at the long-term effect of access to food stamps in childhood on the incidence of metabolic syndrome (obesity, high blood pressure, and diabetes) and an increase in economic self-sufficiency for women.

Based on the study, the researchers concluded that access to food stamps in childhood leads to a significant reduction in the incidence of metabolic syndrome and, for women, an increase in economic self-sufficiency. Hence, the results suggest substantial internal and external benefits of SNAP.

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Answer:

22

Step-by-step explanation:

blue = 1

red = 10

green= 2

Answer:

43

Step-by-step explanation:

red:10

green 1:4

green 2:8

blue 1:3

blue 2:6

blue 1 + red 1 * green 1

PEMDAS: (10*4)=40

3+40=43

Answer:

1/10 in first row

1/20 in second row

1/5 in third row

Step-by-step explanation:

Firstly take first row, and look what is required to get 1, here 5*2 is 10, so to get 1 we need to divide with 10. In second row, 20*1 is 20, so we need to divide with 20. Lastly in third row 10* ½ is 5, so we need to divide with 5

This question is incomplete

Complete Question

A baker uses 5.5 Ibs of flour daily

The baker's recipe for a loaf of bread calls for 12 oz of flour. If he uses all of his flour to make loaves of bread, how many loaves can he bake in seven days?

Answer:

51.3 loaves of bread

Step-by-step explanation:

Converting 5.5 Ibs to oz (ounces)

1 Ibs =>12 oz

5.5 Ibs => x

Cross Multiply

12 × 5.5 => 88 oz

1 loaf of bread =>12 oz

Hence, in 1 day

12 oz =>1 loaf of bread

88 oz => x

x =>88 oz/ 12 oz

x => 7.3333333333 loaves of bread

Hence, he can make 7.3333333333 loaves of bread in 1 day

Hence, in 7 days

1 day => 7.3333333333 loaves

7 days => x

x => 7 × 7.3333333333 loaves

x => 51.333333333 loaves of bread

Approximately => 51.3 loaves of bread

The equation becomes:

y - 4 = 1/4 √[6(x-3)]

the equation is in a form that represents the desired transformations.

Here, we have,

To rewrite the equation y = 1/4 √[6(x-3)] + 4 with appropriate replacements for the transformations, we can follow the general form:

Horizontal translation: Replace x with x+h to shift the graph h units to the left or h units to the right.

Vertical translation: Replace y with y+k to shift the graph k units up or k units down.

Vertical scaling: Replace y with ay to vertically stretch or compress the graph, where a is the scaling factor.

Horizontal scaling: Replace x with x/a to horizontally stretch or compress the graph, where a is the scaling factor.

Reflection: Replace y with −y to reflect the graph across the x-axis.

Applying these transformations to the given equation:

Since there is no horizontal translation (shift), we don't need to make any replacements for x.

Vertical translation: Replace y with y−4 to shift the graph 4 units down.

There is no vertical scaling or horizontal scaling in the given equation, so we don't need to make any replacements for y or x.

Reflection: There is no reflection in the given equation, so we don't need to replace y with −y.

After applying the appropriate replacements, the equation becomes:

y - 4 = 1/4 √[6(x-3)]

Now, the equation is in a form that represents the desired transformations.

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The standard form of the equation of the circle is (x - 1)² + (y + 3)² = 50, h=1, k= -3, r=  5√(2).

The standard form equation for a circle is:

(x - h)² + (y - k)² = r²

where (h, k) is the center of the circle and r is the radius. The equation represents all points (x,y) that are a fixed distance r from the center (h,k) of the circle.

To understand this equation, it may be helpful to visualize a circle on a coordinate plane. The center of the circle is located at the point (h, k), which is the midpoint of the circle. The radius of the circle is represented by r, which is the distance from the center of the circle to any point on the circumference of the circle.

The center of the circle is the midpoint of the diameter, which can be found using the midpoint formula:

Midpoint = ((x1 + x2)/2, (y1 + y2)/2)

where (x1, y1) and (x2, y2) are the endpoints of the diameter.

So, the midpoint is:

(((-4) + 6)/2, (-8 + 2)/2) = (1, -3)

This means that the center of the circle is (h, k) = (1, -3).

To find the radius r, we can use the distance formula between the center and one of the endpoints of the diameter:

r = √((x1 - h)² + (y1 - k)²)

Using (-4,-8) as one endpoint, we get:

r = √((-4 - 1)² + (-8 - (-3))²) = √(25 + 25) = 5√(2)

So the standard form of the equation of the circle is:

(x - 1)² + (y + 3)² = 50

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Answer:

1/2 + 1/3 = 3/6 + 2/6 = 5/6

5/6 roughly equals to 0.8

The answer is C

Which of the following best estmates the sum: 1/2 + 1/3

Answer: C) 0.8

Answer:

37.75

Step-by-step explanation:

0.25 x 30 = 7.5

45.25 - 7.5 = 37.75

The Platinum Rule test is a good way of judging if distributive justice is taking place is true.

Distributive justice is the idea that people should be treated equally and that goods, opportunities, and resources should be distributed fairly among all members of society. The Platinum Rule test is one way to evaluate whether or not distributive justice is being practiced. In order to understand the Platinum Rule, it is important to first understand the Golden Rule, which states, "Do unto others as you would have them do unto you." The Platinum Rule takes the Golden Rule a step further by recognizing that people may have different needs, preferences, and desires.

The Platinum Rule states, "Do unto others as they would have you do unto them." This means that instead of treating others the way you would want to be treated, you should treat them the way they want to be treated. The Platinum Rule test can be used to evaluate whether or not distributive justice is being practiced by asking the question, "Are people being treated in the way they want to be treated?" If the answer is yes, then distributive justice is likely being practiced. However, if the answer is no, then there may be a problem with the way goods, opportunities, and resources are being distributed.

Overall, the Platinum Rule test is a useful tool for evaluating whether or not distributive justice is taking place.

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Using vector concepts, it is found that:

The component form is of approximately (-9.58, 7,22). It means that the ship is about 9.58 miles to the west and about 7.22 miles to the north of where the ship left the port.

Given a magnitude M and angle \(\theta\), then a vector V can be represented as follows in component notation:

\(V = (M\cos{\theta}, M\sin{\theta})\)

In this problem, the magnitude and the angle are given, respectively, by:

\(M = 12, \theta = 143^\circ\)

Hence:

V = [12cos(143º), 12sin(143º)] = (-9.58, 7,22).

Which means a displacement of 9.58 miles to the west(negative x = west) and 7.22 miles to the north(positive y = north).

The component form is of approximately (-9.58, 7,22). It means that the ship is about 9.58 miles to the west and about 7.22 miles to the north of where the ship left the port.

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The function f(x) = x^4 + bx^2 + 1 has an inflection point at x = 0,

What is the inflection point?

An inflection point of a function is a point on the graph of the function where the concavity (curvature) of the graph changes. In other words, an inflection point is a point where the curve switches from being concave up to concave down, or vice versa.

The function f(x) = x^4 + bx^2 + 1 has an inflection point at x = 0, because the concavity of the graph changes at that point. To find the value of b such that the function has at least one inflection point over the interval (1,2), we can set x = 1 and x = 2 in the function and solve for b.

If we set x = 1, we get the equation f(1) = 1 + b + 1 = 0. Solving for b, we find that b = -2.

If we set x = 2, we get the equation f(2) = 16 + 2b + 1 = 0. Solving for b, we find that b = -9.

Since the function has an inflection point at x = 0 for any value of b, it will have at least one inflection point over the interval (1,2) for any value of b.

Therefore, the value of b can be any real number.

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