help me out, please....

Answer: 80

Step-by-step explanation:

# Wrong       Grade

1                90

2                80

3                70

4                60

The translation of f(x) that will produce function g(x) is given as follows:

g(x) = f(x) - 3.

A translation happens when either a figure or a function is moved horizontally or vertically on the coordinate plane.

The four translation rules for functions are defined as follows:

The points are given as follows:

The function g(x) is a translation down 3 units of the function f(x), hence the definition is given as follows:

g(x) = f(x) - 3.

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The formula for the surface area of the box, in terms of the length of one side of the square base (s), is A = s^2 + 4s^2 = 5s^2.

The derivative of the surface area function with respect to s, denoted as dA/ds, gives us the rate of change of the surface area with respect to the length of one side of the base.

1. The surface area of the box consists of the area of the square base and the four equal sides. The area of the square base is s^2, and each side has a length of s. Therefore, the total surface area is given by A = s^2 + 4s^2 = 5s^2.

2. To find the derivative of the surface area function, we differentiate 5s^2 with respect to s using the power rule of differentiation. The power rule states that if we have a function f(x) = cx^n, then the derivative is f'(x) = cnx^(n-1).

  Applying the power rule, we have dA/ds = d(5s^2)/ds = 10s.

3. The derivative, dA/ds = 10s, represents the rate of change of the surface area with respect to the length of one side of the square base. This means that for every unit increase in s, the surface area increases by 10s units.

  The derivative does not provide information about minimizing the amount of material used. To find the dimensions of the box that minimize the amount of material used, we need to set up an optimization problem and solve for the critical points. This involves setting the derivative equal to zero and finding the values of s that satisfy this equation. However, since the problem statement does not provide a specific volume constraint or objective function, we cannot proceed with the optimization process.

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Answer:

Based on the information provided, the correct choice is:

fail to reject it

Here are the key points:

• The mean depression score for the sample of 20 4th graders was 4.4.

• The counselor tested the null hypothesis that these 4th graders were less depressed than the general 4th grader population.

• The t score calculated was 2.8.

To reject the null hypothesis and conclude the sample differs from the population, we would need a high enough t score. But the t score of 2.8 is not conclusively high enough here.

Some additional considerations:

• The general 4th grader population mean is 5, so the sample mean of 4.4 is a bit lower, but not drastically. This suggests the sample may not differ hugely from the population.

• There is no information on the variation or standard deviation for either the sample or population. Without this, we can't determine if a t score of 2.8 actually signifies a statistically significant difference.

• The sample size of 20 is decent but not very large. Larger sample sizes provide more conclusive results.

• No p-value is given, making it hard to judge if the t score of 2.8 is high enough to reject the null hypothesis. By convention, p<0.05 is often used but we don't have the p-value here.

So overall, there is not enough definitive evidence provided to conclusively reject the null hypothesis. The t score of 2.8 alone is probably not high enough, given the considerations around sample size, variation, and lack of a p-value. More data and analysis would be needed to make a firm decision either way.

Therefore, the correct choice is: "fail to reject it". There is not enough information given in this question and results to conclusively reject the null hypothesis.

Step-by-step explanation:

The complete solutions to the quadratic equation x² + 7x + 5 = 0 are;

x = -5 and x = -2

Assuming you meant "solve the quadratic equation", to solve the equation x² + 7x + 5 = 0 by completing the square, we can follow these steps:

Rewrite the equation by completing the square:

x² + 7x + 5 = (x + 7/2)² - 9/4

To get this form, we divide the coefficient of the linear term by 2, square the result, and add and subtract it to the left side of the equation.

Rewrite the equation with the completed square form:

(x + 7/2)² - 9/4 = 0

Add 9/4 to both sides of the equation:

(x + 7/2)² = 9/4

Take the square root of both sides of the equation:

x + 7/2 = ± 3/2

Solve for x:

x = -7/2 ± 3/2

This gives us two solutions: x = -5 and x = -2.

Therefore, the solutions to the quadratic equation x² + 7x + 5 = 0 are x = -5 and x = -2.

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The probability that if a random person is chosen from the group of lawyers, the person will be a liar is 38/45, or 0.84.

As a fraction: The probability is given as 38/45, which means that out of 45 people chosen randomly from the group of lawyers, 38 of them are expected to be liars.

As a decimal: To express the probability as a decimal, we divide the numerator (38) by the denominator (45):

38 ÷ 45 ≈ 0.8444444444444444

Rounded to two decimal places, this would be approximately 0.84.

As a percentage: To express the probability as a percentage, we multiply the decimal form by 100:

0.8444444444444444 * 100 ≈ 84.44%

Rounded to two decimal places, this would also be approximately 84.44%.

So, the probability that if a random person is chosen from the group of lawyers, the person will be a liar can be expressed as 38/45 as a fraction, approximately 0.84 as a decimal, or approximately 84.44% as a percentage.

This can be expressed as a fraction, decimal, or percentage, whichever is more helpful.

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Answer:

9

Step-by-step explanation:

Answer:

if you help me, i help you

Answer:

x = 2.5

Step-by-step explanation:

2.4x - 6 = 0

2.4x - 6 + 6 = 0 + 6

2.4x = 0 + 6

2.4x = 6

2.4x ÷ 2.4 = 6 ÷ 2.4

x = 6 ÷ 2.4

x = 2.5

Answer:

B

Step-by-step explanation:

It appears that the system dynamics can be manipulated through the control input u to minimize the time required for convergence to the origin (0,0).

Here, we have,

given that,

min t_i

x₁ = x₂-u

x₂ = u

-1 ≤ u ≤ 1, (x₁, x₂) are arbitrary starting point.

and origin  (0,0) be the begging of the coordinate.

also given that, (x₁, x₂)→ (0,0)

so, min t_i at origin (0,0) = t

Therefore, the generality condition of the situation does not met.

so, we get,

The given system can be represented by the following equations:

x₁' = x₂ - u

x₂' = u

To analyze the behavior of the system, we can examine the dynamics of each variable separately.

For x₁:

x₁' = x₂ - u

The equation implies that the rate of change of x₁ is dependent on x₂ and the input u. The term (-u) acts as a control input that can affect the dynamics of x₁. If we choose an appropriate control input u, we can manipulate the rate of change of x₁ and potentially minimize the time required to reach the origin.

For x₂:

x₂' = u

The equation for x₂ indicates that the rate of change of x₂ is solely determined by the input u. The variable x₂ can be directly controlled by the input u, allowing us to influence its behavior and potentially expedite convergence.

Based on the given equations, it appears that the system dynamics can be manipulated through the control input u to minimize the time required for convergence to the origin (0,0).

By carefully selecting the control input, it is possible to achieve the shortest time to reach the origin from any arbitrary starting point (x₁, x₂).

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Answer:

48 different ways

Step-by-step explanation:

To solve this question, we use the Fundamental Counting Principle technique.

Fundamental Counting Principle can be defined as the way by which we determine the possibility or the number of possible outcomes for an event.

If we have event X and event Y and event Z, then the number of possible outcomes = X × Y × Z

For the above question, we have 3 events

Event 1 : 4 students ( Stephanie, Charles, Tim, and Rachel)

Event 2: 3 subjects ( Math, Reading, And Science)

Event 3 : 4 tutors.

Therefore,the many different ways can the students, tutors, and subjects can be be uniquely combined is:

= 4 × 3 × 4

= 48 different ways

The probability that a customer purchases a biography book given that they purchase cooking and BobVilla books is 0.08.

To calculate this probability, we need to consider the following components:

1. The total number of customers purchasing cooking and BobVilla books: This is the denominator of our equation, and it represents the total number of customers who purchased the two books.

2. The number of customers purchasing the biography book: This is the numerator of our equation, and it represents the number of customers who purchased the biography book.

3. The probability that a customer purchases a biography book given that they purchase cooking and BobVilla books: This is the fraction of customers who purchased the biography book over the total number of customers who purchased the two books.

To calculate the probability that a customer purchases a biography book given that they purchase cooking and BobVilla books, we need to divide the numerator (the number of customers purchasing the biography book) by the denominator (the total number of customers purchasing the two books).

This probability can be expressed as a decimal, which is 0.08. This value can also be rounded to two decimal places, which is 0.08.

In conclusion, the probability that a customer purchases a biography book given that they purchase cooking and BobVilla books is 0.08.

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Answer:

The 49th term is 39.

Step-by-step explanation:

This is a decreasing arithmetic sequence.  We recognize this because the difference from one term to the next is 5.

The general formula needed here is a(n) = a(1) - 5(n - 1)

a(45) = 261 - 5(46 - 1), or

a(45) =  261 - 225 = 39

The 49th term is 39.

The angle measures for this problem are given as follows:

The sum of the measures of the internal angles of a triangle is of 180º.

The triangle in this problem is ABC, hence the measure of a is obtained as follows:

a + 68 + 50 = 180

a = 180 - (68 + 50)

a = 62º.

c and d are corresponding angles to angle a, as they are on the same position relative to parallel lines, hence their measures are given as follows:

Angle b is a corresponding interior angle with angle a, hence they are supplementary and it's measure is given as follows:

a + b = 180

62 + b = 180

b = 118º.

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(a) The expected profit of this policy to the insurance company is $520.10.

(b) The interpretation value of expected profit in (a) in the context of the problem is small probability of the policyholder's death.

(a) The expected profit to the insurance company can be calculated as follows:

Expected Profit = (Probability of Survival * Premium) - (Probability of Death * Death Benefit)

Probability of Survival = 0.997

Probability of Death = 1 - Probability of Survival = 1 - 0.997 = 0.003

Premium = $780

Death Benefit = $250,000

Expected Profit = (0.997 * $780) - (0.003 * $250,000) = $520.10

Therefore, the expected profit to the insurance company from selling this policy is $520.10.

(b) The expected profit of $520.10 represents the average profit that the insurance company can expect to earn from selling this type of policy to similar customers over time.

In the context of this problem, it means that if the insurance company sells many policies like this one, they can expect to make a profit of about $520.10 per policy, on average, after accounting for the small probability of the policyholder's death.

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The completed statement for the congruence of triangles is ΔXYZ ≅ ΔABC, the correct option is (d).

The Congruence of triangles is a term used in geometry which refers to the equality of shape and size of two triangles. The "Two-triangles" are  congruent if their "corresponding-sides" and angles are equal.

On observing both the triangles, we can say that,

The first triangle is right-angled at "X", and the second triangle is right-angled at "A",

the hypotnuse of first triangle is "ZY" and the hypotnuse of second triangle is "CB",

So, the "vertex X" similar to "vertex A", "vertex Z" similar to "vertex C", and "vertex Y" similar to "vertex B",

Therefore, triangle XYZ is congruent to triangle ABC, Option (d) is correct.

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Answer:

ACB

Step-by-step explanation:

Trust me

To solve the 1-D wave equation using the method of characteristics, we first need to find the characteristic curves. For the wave equation utt = 9uxx, the characteristic equations are given by:

\(\frac{dx}{dt} = \frac{\partial u}{\partial t} + 3 \frac{\partial u}{\partial x}\\\frac{dy}{dt} = \frac{\partial u}{\partial t} - 3 \frac{\partial u}{\partial x}\)

Simplifying these equations, we have:

\(\frac{dx}{dt} = \frac{\partial u}{\partial t} + 3 \frac{\partial u}{\partial x}\\\frac{dy}{dt} = \frac{\partial u}{\partial t} - 3 \frac{\partial u}{\partial x}\)

Next, we can solve these characteristic equations. Integrating the first equation with respect to t, we get:

x - t = F(y)

where F(y) is an arbitrary function of y. Similarly, integrating the second equation with respect to t, we obtain:

x + t = G(y)

where G(y) is another arbitrary function of y.

Now, we can solve for x and t in terms of y using these characteristic equations. Adding the two equations, we have:

2x = F(y) + G(y)

\(x = \frac{F(y) + G(y)}{2}\)

Subtracting the two equations, we get:

2t = G(y) - F(y)

\(t = \frac{G(y) - F(y)}{2}\)

Now, let's consider the initial condition u(x, 0) = 0. At t = 0, the characteristic curves intersect the x-axis. Therefore, we can set t = 0 in the characteristic equations to find the relationship between x and y:

x - 0 = F(y) (1)

x + 0 = G(y) (2)

From equation (1), we have:

x = F(y)

From equation (2), we have:

x = G(y)

Since the string is fixed at x = L, we can set x = L in equation (2) to find G(y):

L = G(y)

Therefore, we have:

x = F(y)

x = L

Since \(x = \frac{F(y) + G(y)}{2}\), we can substitute x = L to find F(y):

L = F(y) + L

F(y) = 0

Hence, we have F(y) = 0, which means x = 0 along the characteristic curves.

Now, we can solve for t in terms of y using the relationship

\(t = \frac{G(y) - F(y)}{2}\)

t = (L - 0)/2

t = \(\frac{L}{2}\)

Therefore, along the characteristic curves, we have x = 0 and t = \(\frac{L}{2}\).

Now, we can express u(x, t) in terms of x and t using the initial condition u(x, 0) = 0. Along the characteristic curves, x = 0 and t =\(\frac{L}{2}\), so we have:

u(0, \(\frac{L}{2}\)) = 0

Therefore, the solution to the 1-D wave equation for a semi-infinite string fixed at x = L using the method of characteristics is u(x, t) = 0 for x = 0 and t = \(\frac{L}{2}\).

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Answer:

Step-by-step explanation:

What is the table?

Answer:

21

Step-by-step explanation:

12/3 is 4 and 8 times 2 is 16 then 9-4 is 5 plus 16 thats 21,
hope this helps

Answer:

21

Step-by-step explanation:

The scale factor of AABC dilation of ADEF with center (0, 0) is 3.

Scale factor is a numerical value used to indicate the proportional change in the size of an object or image. It is often expressed as a fraction or ratio, for example 1:2, where the first number (1) represents the original size, and the second number (2) represents the new size. This is also referred to as a "scaling factor," since it indicates how much larger or smaller the new size is compared to the original size. Scale factors can be used to resize objects in different directions, such as width, height, and depth.

This means that each point of ADEF was scaled up by a factor of 3. This means that the length and width of ADEF were multiplied by 3 to make the new figure AABC. For example, if the length of ADEF was 6, then the length of AABC would be 18. Similarly, if the width of ADEF was 9, then the width of AABC would be 27.

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Answer:

10

Step-by-step explanation:

f(4)= 3(4)-2

f(4)=12-2

f(4)= 10

f(whatever) just means to replace x with whatever is in the parentheses.

Using the normal distribution, the probabilities are given as follows:

a. Between 8 and 12 cases with side effects: 0.582 = 58.2%.

b. More than 16 cases with side effects: 0.0174 = 1.74%.

The z-score of a measure X of a normally distributed variable that has mean represented by \(\mu\) and standard deviation represented by \(\sigma\) is given by the equation presented below:

\(Z = \frac{X - \mu}{\sigma}\)

The parameters for the binomial distribution in this problem are given as follows:

p = 0.05, n = 200.

Hence the mean and the standard deviation of the approximation are given as follows:

For item a, using continuity correction, the probability of between 8 and 12 cases with side effects is the p-value of Z when X = 12.5 subtracted by the p-value of Z when X = 7.5, hence:

X = 12.5:

\(Z = \frac{X - \mu}{\sigma}\)

Z = (12.5 - 10)/3.08

Z = 0.81

Z = 0.81 has a p-value of 0.7910

X = 7.5:

\(Z = \frac{X - \mu}{\sigma}\)

Z = (7.5 - 10)/3.08

Z = -0.81

Z = -0.81 has a p-value of 0.2090.

0.7910 - 0.2090 = 0.582 probability.

For item b, the probability of finding more than 16 cases with side effects is one subtracted by the p-value of Z when X = 16.5, hence:

\(Z = \frac{X - \mu}{\sigma}\)

Z = (16.5 - 10)/3.08

Z = 2.11

Z = 2.11 has a probability of 0.9826.

1 - 0.9826 = 0.0174 = 1.74% probability.

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The order from least to greatest of the following fractions: 7/5, 3/2, 11/4, 15/4, 13/3.

To find the order of the given fractions from least to greatest, we need to compare the fractions and see which one is the smallest and which one is the largest. One way to do this is by finding a common denominator for all the fractions and then comparing the numerators.

Here are the steps:
1. Find the least common denominator (LCD) for all the fractions. In this case, the LCD is 60.

2. Multiply each fraction by the LCD to get equivalent fractions with the same denominator.
- 7/5 = (7 * 12)/(5 * 12) = 84/60
- 15/4 = (15 * 15)/(4 * 15) = 225/60
- 3/2 = (3 * 30)/(2 * 30) = 90/60
- 11/4 = (11 * 15)/(4 * 15) = 165/60
- 13/3 = (13 * 20)/(3 * 20) = 260/60

3. Compare the numerators of the equivalent fractions to find the order from least to greatest.
- 84/60 < 90/60 < 165/60 < 225/60 < 260/60

4. Write the original fractions in the same order:
- 7/5 < 3/2 < 11/4 < 15/4 < 13/3

So, the order of the given fractions from least to greatest is 7/5, 3/2, 11/4, 15/4, 13/3.

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Answer:

16

Step-by-step explanation:

2^4=2*2*2*2=16

Answer:

16

Step-by-step explanation:

2^4=2*2*2*2=16

2 raise to the power of 4, which means 2*2*2*2

144. Use the formula for the volume of a cone, since the answer is in terms of pi disregard the pi in the formula and solve using (r^2)(h/3) which will give you the answer in terms of pi.

Answer:

Answer is D.

Step-by-step explanation:

Answer:

\(\boxed{\sf -14-4i}\)

Step-by-step explanation:

\(\sf (-2i)(2-7i)\)

Multiply -2i * 2-7i:-

\(\sf -2i\times 2-2(-7)i^2\)

i^2 is -1

\(\sf -2i\times 2-2(-7)(-1)\)

Now, do the multiplications.

Reorder the terms.

\(\sf -14-4i\)

____________________________________

Answer:

im here to get brainly. you didnt say so solve CORRECTLY, which is one mistake some folks make for not being specific.

Step-by-step explanation:

let w = weeks, let d = donations

The expression for weeks is 75w

The expression for donations is 75w - 190

1.)

\(w = 56 \div 7 = 8\)

\(75w - 190 = d \\ 75(8) - 190 = d \\ 600 - 190 = d \\ d = 410\)

2.)

\(75w - 190 = 710 \\ 75w = 710 + 190 \\ 75w = 900 \\ w = \frac{900}{75} = 12 \: wks\)