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Which type of reasoning allows the conclusion given the true statement? “if it is saturday, then nina’s family rents movies. today is saturday; therefore Nina concludes her family will rent movies.”

The Marginal Rate of Substitution (MRS) for the given function is equal to -2/sqrt(x). To find the Marginal Rate of Substitution (MRS), we need to take the derivative of the given function with respect to x.

Given: y = 24 - 4(sqrt(x))

Step 1: Differentiate the function y with respect to x.

dy/dx = d/dx(24 - 4(sqrt(x)))

Step 2: Differentiate each term separately using the power rule and chain rule.

dy/dx = 0 - 4(1/2)(x^(-1/2))(1)

Step 3: Simplify the derivative.

dy/dx = -2(x^(-1/2))

Step 4: Rewrite the derivative in terms of MRS.

MRS = dy/dx = -2/sqrt(x)

Therefore, the Marginal Rate of Substitution (MRS) for the given function y = 24 - 4(sqrt(x)) is -2/sqrt(x).

The negative sign indicates that the MRS is inversely related to x, which means as x increases, the MRS decreases. The value of MRS represents the rate at which a consumer is willing to substitute y (the dependent variable) for an incremental change in x (the independent variable). In this case, as x increases, the consumer is willing to substitute less y for the additional units of x.

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The acceleration of the particle at t = 2 will be 12.40 meters per square second. Then the correct option is C.

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The position of a particle moving along the x-axis is given by x(t) = sin(2t² + 5t), where x(t) is in meters and t is in seconds.

Differentiate the function with respect to 't', then we have

v(t) = (4t + 5) cos (2t² + 5t)

Again differentiate the function with respect to 't', then we have

a(t) = 4 cos (2t² + 5t) - (4t + 5) sin (2t² + 5t)

The acceleration of the particle at t = 2, then we have

a(2) = 4 cos (2 x (2)² + 5 x 2) - (4 x 2 + 5) sin (2(2)² + 5 x 2)

a(2) = 4 cos (18) - 13 sin (18)

a(2) = 12.40 m / s²

The acceleration of the particle at t = 2 will be 12.40 meters per square second. Then the correct option is C.

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Answer:

For example

Here Domain and range both are set of all real numbers

A significance level of 0.10, we have enough evidence to conclude that the new copy machines have a significantly faster mean repair time compared to the older model.

To test if the new copy machines are faster to repair, we can set up the following null and alternative hypotheses:

Null Hypothesis (H₀): The mean repair time for the new copy machines is the same as the mean repair time for the older model.

Alternative Hypothesis (H₁): The mean repair time for the new copy machines is less than the mean repair time for the older model.

Let's perform a one-sample t-test to test these hypotheses. The test statistic is calculated as:

t = (sample mean - population mean) / (sample standard deviation / √(sample size))

Given:

Population mean (μ) = 93 minutes

Sample mean (\(\bar x\)) = 86.8 minutes

Sample standard deviation (s) = 14.6 minutes

Sample size (n) = 18

Significance level (α) = 0.10

Calculating the test statistic:

t = (86.8 - 93) / (14.6 / sqrt(18))

t = -6.2 / (14.6 / 4.24264)

t ≈ -2.677

The degrees of freedom for this test is n - 1 = 18 - 1 = 17.

Now, we need to determine the critical value for the t-distribution with 17 degrees of freedom and a one-tailed test at a significance level of 0.10. Consulting a t-table or using statistical software, the critical value is approximately -1.333.

Since the test statistic (t = -2.677) is less than the critical value (-1.333), we reject the null hypothesis.

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Answer:

t = 1/2

Step-by-step explanation:

= 4 ( t + 1/4 ) / 4 = 3/4

= t + 1/4 = 3/4

= t + 1/4 - 1/4 = 3/4 - 1/4

           simplify

Answer : t = 1/2

Answer: 1.2 blocks

Step-by-step explanation:

Timothy walks 12 blocks in 10 minutes so it can be written as

12 blocks = 10 minutes

divide both sides by 10

1.2 blocks per minute

The probability that it lands heads at least once is 1.0720.

Probability is the measure of the likelihood of an event occurring. In this case, we are looking at the probability of a coin landing heads at least once after three tosses.

Let's denote the event of the coin landing heads on the first toss as event A, the event of the coin landing heads on the second toss as event B, and the event of the coin landing heads on the third toss as event C.

The probability of landing heads at least once is equal to the sum of the probabilities of each individual event occurring (A, B, or C) minus the probability of all three events occurring (A and B and C).

P(A or B or C) = P(A) + P(B) + P(C) - P(A and B and C)

Since the coin is unfair and has a probability of 0.4 of landing heads, P(A) = P(B) = P(C) = 0.4.

Using the formula for the probability of multiple events happening simultaneously, we find that P(A and B and C) = P(A) * P(B) * P(C) = 0.4 * 0.4 * 0.4 = 0.064.

Plugging in all the values, we get:

P(A or B or C) = 0.4 + 0.4 + 0.4 - 0.064 = 1.136 - 0.064 = 1.072

Rounding to four decimal places, the answer is 1.0720, which means that the probability of the coin landing heads at least once after three tosses is 1.0720.

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Note: The figure in the problem is NOT drawn to scale.

Because the figure is a rhombus, its diagonal bisects the intersecting angle AND opposite angles are congruent (this was hard to notice since the figure wasn't drawn to scale)

If you look at the image I attached to my answer, we now have an isosceles triangle with angles \(\angle 1\), \(\angle 1\), and 32

The property of a triangle is that all angles must add to 180 degrees

\(\angle 1+\angle 1+32=180\)

\(2\angle1=148\)

\(\angle1=74\)

Thus, the measurement of angle 1 is 74 degrees. Let me know if you need any clarifications, thanks!

The candle starts at a height of 25 centimeters and burns at a rate of 0.625 centimeters per hour.

The given table shows the height of a candle as it burns continuously over time. The first column represents time in hours, ranging from 0 to 1, while the second column represents the corresponding height in centimeters.

From the data, we can observe that the candle starts at a height of 25 centimeters when the time is 0 hours. As time progresses, the height of the candle decreases gradually. Specifically, for every hour that passes, the candle burns 0.625 centimeters.

Therefore, the main answer is that the candle starts at a height of 25 centimeters and burns at a rate of 0.625 centimeters per hour.

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Answer:

Step-by-step explanation:

the sum of the interior angles of a triangles is 180°

so

180 - 39 - 102 =

39

(it is an isosceles triangle)

In the given triangle the value of x° = 39°.

" A triangle is defined as the two dimensional closed shape with three sides , three vertices and three angles enclosed in it."

Theorem used

In ΔABC,

∠A + ∠B + ∠C = 180°

According to the question,

In the given triangle,

∠A represents measure of 102°

∠B represents measure of 39°

∠C represents measure of x°

Substitute the value in the triangle theorem   we get,

102° + 39° + x° = 180°

⇒141° + x° = 180°

⇒ x° = 180° - 141°

⇒ x° = 39°

Hence, in the given triangle the value of x° = 39°.

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The term for the value that occurs most often in a series of numbers is called the mode.

The mode is one of the three main measures of central tendency, along with the mean and the median. It is a useful descriptive statistic that can provide insights into the characteristics of a dataset.

To find the mode of a set of data, you first need to arrange the data in order, either in increasing or decreasing order. Then, you simply identify the most frequent data point, which is the mode. In some cases, there may be more than one mode if multiple data points occur with the same maximum frequency.

The mode is particularly useful when dealing with categorical or nominal data, where there are distinct categories or values that cannot be ordered in a meaningful way. For example, the mode can help identify the most popular color among a group of people or the most common type of car on a given street. It can also be used for continuous data, although it may be less useful in this case than the mean or median.

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The value of cos(Z) is 12/13.

Since both triangles are similar, △ABC ~ △XYZ, the corresponding angles are congruent. It means:

m∠C = m∠Z, and

cos C = cos Z

The ratio for cosine is adjacent/hypotenuse. In a right triangle, the hypotenuse is the longest side, while an opposite side is the one across from a given angle, and an adjacent side is the one next to a given angle.

Since the side marked 12 is adjacent to angle C and 13 is the hypotenuse of this triangle; so, we know that:

cos C = 12/13

Thus, because of the angles and cosines for C and Z will be the same, it makes:

cos Z = cos C = 12/13

Hence, the value of cos(Z) is 12/13.

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All veterinarians that responded to the questionnaire were included in the sample.

Complete Question : Veterinarians often use non-steroidal anti-inflammatory drugs to treat lameness in horses. A group of veterinary researchers wanted to find out how widespread the practice was in the United States. They obtained a list of all veterinarians treating large animals, including horses. They sent questionnaires to all the veterinarians on the list. Such a survey is called a census. The response rate was 40%. Which of the following statement is correct?

a. The sample consisted of all veterinarians on the list and therefore equaled the target population.

b. The sample consisted of all veterinarians who returned the questionnaire.

c. The sample consisted of all veterinarians who treat horses with NSAIDs.

d. None of the choices are correct.

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Answer:

V = 605.8

Step-by-step explanation:

Volume of a sphere:

V = 4/3πr³

r = 2/d = 5.25

V = 4/3π5.25³

V = 4/3(3.14)(9261/64)

V = 605.8

Answer:

Your answer would Be A.

Step-by-step explanation:

Answer:

The answer is A

Step-by-step explanation:

The actual implications of giving a bone to a subject would depend on the specific context, such as the subject's identity (human or animal), the purpose of giving the bone, and the cultural or medical considerations involved.

Assuming that a randomly selected subject is given a bone, it seems that we need to consider the context and determine the implications or consequences of this action. Without further information, it is difficult to provide a specific explanation or analysis. However, we can discuss some general possibilities and considerations related to giving a bone to a subject.

1. Medical Treatment: Giving a bone could be related to medical treatment or procedures. For example, in orthopedic medicine, bones may be used for grafting or reconstructive surgeries to repair damaged or fractured bones.

2. Nutritional Benefits: Bones, such as beef or chicken bones, can be used to make broths or stocks that are rich in nutrients like collagen, calcium, and other minerals. These bone-based products are often consumed for their potential health benefits.

3. Animal Care: Giving a bone to an animal, particularly dogs, is a common practice. Bones can serve as a form of entertainment or enrichment for pets, satisfying their chewing instincts and providing dental benefits.

4. Symbolic Meaning: In certain cultures or traditions, bones can hold symbolic meanings. They may be used in rituals, ceremonies, or artistic expressions to represent various concepts, such as strength, mortality, or spirituality.It's important to note that the above interpretations are speculative and based on general assumptions. The actual implications of giving a bone to a subject would depend on the specific context, such as the subject's identity (human or animal), the purpose of giving the bone, and the cultural or medical considerations involved.

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After 39 years, the value of this quantity is 1,023.35

Here we know that:

Then the exponential equation is:

\(A(t) = 570*(1 + 0.35)^{t/20}\)

Where t is the time in years.

So, after 39 years, the value of this quantity is given by:

\(A(39) = 570*(1 + 0.35)^{39/20} = 1,023.35\)

After 39 years, the value of this quantity is 1,023.35

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Answer:

You are left with $1.44

Step-by-step explanation:

Subtract the amount of money you payed to how much the cost actually was to get your answer.

Answer:

Its undefined lol

Step-by-step explanation:

Answer: Any number divided by 0 is undefined.

Step-by-step explanation: Think about it. How would you split something into 0 groups? That makes no sense; therefore you have an undefined value. This is true of all numbers.

Answer:

Step-by-step explanation:

I = prt

I = 800 × 1.8% x 15

I = $216

Remember the percent sign for the rate or write it as a decimal (multiplier)! In this case the multiplier would be 0.018!

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Answer:

Step-by-step explanation:

\(Percentage of chocolate candy = \dfrac{12}{25}*100\\\\ = 12*4\\\\\)

= 48%

The mode will be = 5.2

What is mode?

A set of data values' mode is the value that appears the most frequently. The value of X at which the probability mass function reaches its highest value is known as the mode if X is a discrete random variable.

Consider the number of missed working days during a certain month of 5 employees of a company, 1,1,2,4,7

Mean age of the given data set will be its arithmetical average. Divide the sum of number of missed working days by 5. That is,

Mean number of days missed = 1+1+2+4+7/5

=15/5

=3days

hence mean = 3 days

Consider the formula for the variance for data set

σ² = ∑(X-µ)²/N

Compute the variance of given data set as follows

= 26/5

=5.2

Hence the variance is 5.2

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3x = 15

x = 15/3

x = 5

Answer:

x = 5

Step-by-step explanation:

3x = 15

x = 15/3

x = 5

The estimated mean amount of money spent per household on internet service each month is $59.95 with confidence interval.

To calculate the estimated mean amount of money spent per household on internet service each month, we first need to find the lower and upper bounds of the confidence interval. The lower bound is $47.45 and the upper bound is $72.45. We then take the average of these two numbers to get the estimated mean. The average of $47.45 and $72.45 is

($47.45 + $72.45) / 2

= $59.95.

Therefore, the estimated mean amount of money spent per household on internet service each month is $59.95.

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Answer:

The answer is

Step-by-step explanation:

The distance between two points can be found by using the formula

\(d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ \)

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-6,-8) and (-2,0)

The distance between them is

\(d = \sqrt{ ({ - 6 + 2})^{2} + ({ - 8 - 0})^{2} } \\ = \sqrt{ ({ - 4})^{2} + ({ - 8})^{2} } \\ = \sqrt{16 + 64} \\ = \sqrt{80} \)

We have the final answer as

\(4 \sqrt{5} \: \: \: units\)

Hope this helps you

Given

\( \: \: \)

\( \: \: \)

\( \: \: \)

We Know That

\( \: \: \: \)

\(\tt \orange{ 　↬} ( {12})^{3} = 3(27)(12)\)

\( \: \: \)

\(\tt \orange{ 　↬} = 1728 - 81(12)\)

\( \: \: \)

\(\tt \orange{ 　↬}1728 - 972\)

\( \: \: \)

\( \boxed{\tt \orange{ 　↬}756}\)

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Answer:

f(13)=105

f(4)=58

f(6)=-5

f(7)=26

Step-by-step explanation:

Good luck

The correlation coefficient that represents the strongest relationship between two variables is -0.75.

In correlation coefficients, the absolute value indicates the strength of the relationship between variables. The strength of the association increases with the absolute value's proximity to 1.

The maximum absolute value in this instance is -0.75, which denotes a significant negative correlation. The relevance of the reverse correlation value of -0.75 is demonstrated by the noteworthy unfavorable correlation between the two variables.

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