Solve for dimensions

Answer:

\(Speed = 8miles/hour\)

Step-by-step explanation:

Given

\(Distance = \frac{1}{3}\ mile\)

\(Time = \frac{1}{24}\ hour\)

Required

Determine the speed.

\(Speed = Distanc/Time\)

So, we have:

\(Speed = \frac{1}{3}{/\frac{1}{24}\)

\(Speed = \frac{1}{3}*\frac{24}{1}\)

\(Speed = \frac{24}{3}\)

\(Speed = 8miles/hour\)

Step-by-step explanation:

\( {x}^{2} + 8x + {y}^{2} - 10y = - 5\)

Complete the square for the x direction

For the x direction,

\( {x}^{2} + 8x +( \frac{8}{2} ) {}^{2} + {y}^{2} - 10y + ( \frac{ - 10}{2} ) {}^{2} = - 5 + ( \frac{8}{2} ) {}^{2} + ( \frac{ - 10}{2} ) {}^{2} \)

\( {x}^{2} + 8x + 16 + {y}^{2} - 10y + 25 = - 5 + 16 + 25\)

\((x + 4) {}^{2} + (y - 5) {}^{2} = 36\)

The center is (-4,5) with a radius of 6.

From the information give we can calculate the R2=0.3643. Therefore, 36.43% of the variation in the observed y-values can be explained by the estimated regression equation. The correct answer is A.

To calculate the coefficient of determination (R²2), we need to use the formula:

R² = 1 - (SSE / SST)

where SSE is the sum of squares due to error, and SST is the total sum of squares.

Given SSE = 903.51 and SST = 1421.2, we can calculate:

R² = 1 - (903.51 / 1421.2) = 0.3643

R² measures the proportion of the total variation in the response variable (area of scar tissue) that is explained by the predictor variable (micrograms of asbestos inhaled).

In this case, the R² value is 0.3643, which means that about 36.43% of the variation in the observed y-values (area of scar tissue) can be explained by the estimated regression equation using micrograms of asbestos inhaled as the predictor variable.

This suggests that other factors may also be important in determining the area of scar tissue in mesothelioma patients. Therefore, option A is the correct answer.

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The half-life gives the time  after which a give unstable substance decays

to half the initial quantity.

Reasons:

The mass of the sample of the radioactive isotope, m = 60-g

The number of half lives that passes = 2 half lives

Required:

The pair of percentages that describes the sample.

Solution:

The half-life is the time half of an unstable radioactive substance decays into a stable substance.

Therefore, after one half life, the pair of percentages we have are;

50% unchanged and 50% stable

After the second half life, the 50% of the sample decays further by half to give; 25%  stable substance and 25% unchanged substance

Therefore, after two half-lives, we get;

(50% + 25%) stable substance and 25% unchanged sample

75% stable substance and 25% unchanged

The correct option is; 25% unchanged and 75% stable.

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Answer:

B on edge

Step-by-step explanation:

Diversity in People can be seen in terms of:

In terms of Ethnicity,  people from various ethnic traditions bring a rich tapestry of sophistications, traditions, and outlooks to society. Access to Healthcare: Ensuring all has access to value healthcare improves the health and comfort of individuals, offspring, and communities.

In terms of Gender, embracing neutral diversity helps promote equal time for all genders in various fields and fights feminine-based bias. : Providing access to instruction for all members of society, although socio-economic rank, etc.

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See text below

Now we make a table and mention two examples of diversity in people and two examples of common good in society

Answer:

101 degrees

Step-by-step explanation:

The third angle in the first triangle would be  180 - (26+53) = 101 degrees

the angle in triangle 2 could be the 101 degree one

Answer:

\( \boxed{D. \: (f-g)(x) = {x}^{2} + 4x + 3} \)

Given:

\(f(x) =2 {x}^{2} - 5 \\ g(x) = {x}^{2} - 4x - 8\)

To find:

\((f - g)(x) = f(x) - g(x)\)

Step-by-step explanation:

\( \implies(f - g)x = f(x) - g(x) \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = (2 {x}^{2} - 5) - ( {x}^{2} - 4x - 8) \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = (2 {x}^{2} - 5) + (- {x}^{2} + 4x + 8) \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 2 {x}^{2} - 5 - {x}^{2} + 4x + 8 \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 2 {x}^{2} - {x}^{2} + 4x - 5 + 8 \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = {x}^{2} + 4x + 8 - 5 \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = {x}^{2} + 4x + 3\)

The amount of money that Brian saves is $1.50.

Money simply means anything that's used a medium of exchange and for transactions.

In this case, Brian gets $15.00 to mow the lawn and he saves 0.1 of his earnings.

The amount saved will be:

= Percentage saved × Amount

= 10% × $15

= 0.1 × 15

= $1.5

This illustrates the concept of multiplication.

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Gender refers to the social and cultural roles, behaviors, and expectations associated with being male or female. It is a complex construct that includes biological, psychological, and sociocultural factors.

In the context of the researcher's study, gender refers to the binary categories of male and female that were used to differentiate between the 24 individuals surveyed. The study aimed to investigate whether there are differences in attitudes toward women in leadership positions based on this binary categorization.

It is important to note that while gender is often simplified into binary categories, it is actually a diverse and multifaceted construct that can encompass a range of identities and experiences beyond male and female. Researchers should be cognizant of the limitations of binary categorizations and strive to use more inclusive language and methods whenever possible.

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Answer:

Step-by-step explanation:

$425

Answer:

$525

Step-by-step explanation:

If it is 50 per hour, multiply 50 by 10 which equals 500. Since he charges 25 for a call, add that amount to 500, which would be 525.

The length of the vector function F(t) over the interval -6 ≤ t ≤ 8 is  D) L = 14√56.

The length of the vector function F(t) = <3 - 4t, 6t, -(9 + 2t)> from -6 ≤ t ≤ 8, we need to calculate the integral of the magnitude of the derivative of F(t) with respect to t over the given interval.

The magnitude of a vector v = <x, y, z> is given by ||v|| = √(x² + y² + z²).

First, let's find the derivative of F(t):

F'(t) = <-4, 6, -2>

Next, let's find the magnitude of F'(t):

||F'(t)|| = √((-4)² + 6² + (-2)²)

= √(16 + 36 + 4)

= √56

Now, we can calculate the length of F(t) over the interval -6 ≤ t ≤ 8 by integrating ||F'(t)|| with respect to t:

L = ∫(√56) dt

= √56 ∫dt

= √56 × t + C

Evaluating the integral over the given interval:

L = √56 × t + C| (-6)⁸

= √56 × (8 - (-6))

= √56 × 14

= 14√56

Therefore, the length of the vector function F(t) over the interval -6 ≤ t ≤ 8 is 14√56.

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The volume of the 'scooped' pyramid is approximately 26.6667 cubic units.

To find the volume of the 'scooped' pyramid, we first need to determine the area of its base. Since the cross-sectional area of the pyramid is x 4 at a distance x from the tip, we can assume that the area at the tip is zero. This means that the area of the base is 4 times the area at a distance of 5 from the tip (since the distance from tip to base is 5).

Therefore, the area of the base is 4x4 = 16 square units. To find the volume, we can use the formula for the volume of a pyramid, which is:

Volume = (1/3) x Base Area x Height

In this case, the height of the pyramid is 5 units. So, we can substitute the values we have:

Volume = (1/3) x 16 x 5

Volume = 26.6667 cubic units

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Answer:

b=-7    or the y-intercept is -7

Step-by-step explanation:

-7= =3(0)+b

-7=b

Answer:

Open circle shaded to the left (last choice)

Step-by-step explanation:

Open circle because it can't be equal to 4.

Shaded left because it is every number smaller than 4.

Answer:

  T'''(2, 6)

Step-by-step explanation:

The transformations used in this problem are ...

  (x, y) ⇒ (-x, -y) . . . . . rotation 180° about the origin

  (x, y) ⇒ (x +h, y +k) . . . . translation h right and k up

  (x, y) ⇒ (y, x) . . . . . . reflection over the line y=x

__

Applying these transformations to point T(-5, -4), we have ...

1.  T(-5, -4) ⇒ T'(5, 4)

2. (h, k) = (1, -2), so we get ...

  T'(5, 4) ⇒ T"(5 +1, 4 -2) = T"(6, 2)

3. T"(6, 2) ⇒ T'''(2, 6) . . . . straightforward application of the separate transformations

Thus, Bao age is 27.

acc to our question-

hence,Thus, Bao age is 27.

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Answer:

it is basic and .........

The value of the fund in 18 years as required by the task is; $1553.5.

Since, the interest rate is compounded annually as described, the value of the fund in 18 years can be calculated by means of the compound interest formula as;

Value = 500(1.065)^18.

Hence, we have; Value = $1553.5.

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The values of Z such that e² = 2 + i√3 are Z = ln(2 + i√3) + 2πik, where k is an integer.

To find the values of Z, we can start by expressing 2 + i√3 in polar form. Let's denote it as re^(iθ), where r is the modulus and θ is the argument.

Given: 2 + i√3

To find r, we can use the modulus formula:

r = sqrt(a^2 + b^2)

= sqrt(2^2 + (√3)^2)

= sqrt(4 + 3)

= sqrt(7)

To find θ, we can use the argument formula:

θ = arctan(b/a)

= arctan(√3/2)

= π/3

So, we can express 2 + i√3 as sqrt(7)e^(iπ/3).

Now, we can find the values of Z by taking the natural logarithm (ln) of sqrt(7)e^(iπ/3) and adding 2πik, where k is an integer. This is due to the periodicity of the logarithmic function.

ln(sqrt(7)e^(iπ/3)) = ln(sqrt(7)) + i(π/3) + 2πik

Therefore, the values of Z are:

Z = ln(2 + i√3) + 2πik, where k is an integer.

The values of Z such that e² = 2 + i√3 are Z = ln(2 + i√3) + 2πik, where k is an integer.

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Answer:

  9/64

Step-by-step explanation:

For similar triangles, the ratio of areas is the square of the ratio of corresponding sides.

__

The ratio of areas is (3/8)² = 9/64.

Answer:

Hey! so the answer is X=7 and Y=6

Step-by-step explanation:

if you look at the pattern you'll see it adds up to 7 and 6 everytime so those are the answers.

Hoped this helped Im Eve btw. Hope you have a great day and consider marking this brainliest Thank you so much if you do! ✨

In 2017, 17% of all newlyweds were from different racial or ethnic groups. So, the correct option is A).

The statistic presented is a measure of intermarriage in the United States. The percentage of newlyweds who are from different racial or ethnic groups is a useful indicator of social attitudes towards diversity and cultural integration.

In 2017, 17% of all newlyweds in the United States were from different racial or ethnic groups, which suggests a gradual increase in intermarriage rates over time.

This trend reflects the growing diversity of the U.S. population and the increasing acceptance of interracial and interethnic relationships. The intermarriage rate can vary by race and ethnicity, with some groups showing higher levels of intermarriage than others. So, the correct answer is A).

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Using proportions, it is found that the scale of dilation is of \(\frac{3}{4}\).

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The length of LM changed from 12 to 9, hence:

\(\frac{9}{12} = \frac{3}{4}\).

The length of MN changed from 8 to 6, hence:

\(\frac{6}{8} = \frac{3}{4}\).

Thus, the scale of dilation is of \(\frac{3}{4}\).

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Answer:

D

Step-by-step explanation:

D.Negative

The quotient of a positive integer and a negative integer is negative.

Gradient descent cannot be used directly for classifying error in classification because the error rate is not a smooth function of the model parameters and gradients cannot be computed.

Gradient descent is an optimization algorithm that is commonly used in machine learning to minimize a cost function. The cost function is a measure of how well the model performs on the training data, and the goal of the optimization algorithm is to find the model parameters that minimize this cost function.

In classification tasks, the cost function is typically a measure of the error rate or misclassification rate of the model. However , the error rate is not a smooth function of the model parameters, and it is not possible to compute gradients with respect to the model parameters. This makes it difficult to use gradient descent directly for optimizing the parameters of a classification model.

Instead, specialized optimization algorithms such as stochastic gradient descent (SGD) and its variants are used to train classification models. These algorithms are designed to work with non-smooth, non-convex cost functions and are able to handle the discrete nature of the output labels in classification tasks. Additionally, other metrics such as accuracy, precision, recall, and F1 score can be used as evaluation metrics instead of the error rate.

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The method of sampling where the person most knowledgeable of the subject of study selects the elements of the population that he or she feels are the most representative of the population is judgement sampling

The judgement sampling is a non probability that the researcher selects units to be sampled based on his own  knowledge and professional judgement. Here the probability is not a factor.

The given question is the person most knowledgeable of the subject of study selects the elements of the population that he or she feels are the most representative of the population.

Here the given sampling is matches the judgement sampling, because the selecting the units to be samples based on her or his knowledge and judgement

Therefore, the sampling method is judgement sampling

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Answer:

(a) 48/60 = 4/5

(b) 150/60 = 15/6 = 5/2 = 2 1/2

(c) 84/98 = 12/14 = 6/7

(d) 12/52 = 3/13

(e) 7/28 = 1/4

The fractions reduced to their simplest form:

(a) 48/60 simplifies to 4/5.

(b) 150/60 simplifies to 5/2.

(c) 84/98 simplifies to 6/7.

(d) 12/52 simplifies to 3/13.

(e) 7/28 simplifies to 1/4.

Let's discuss each question separately:

(a) To reduce the fraction 48/60 to simplest form, we need to find the greatest common divisor (GCD) of both numbers. The GCD of 48 and 60 is 12. Dividing both the numerator and denominator by 12 gives us the simplified fraction 4/5.

(b) For the fraction 150/60, we find that the GCD of 150 and 60 is 30. Dividing both the numerator and denominator by 30 results in the simplified fraction 5/2.

(c) The fraction 84/98 can be simplified by dividing both the numerator and denominator by their GCD, which is 14. This gives us the simplest form of 6/7.

(d) To simplify the fraction 12/52, we calculate the GCD of 12 and 52, which is 4. Dividing both numbers by 4 yields the simplest form of 3/13.

(e) The fraction 7/28 can be simplified by dividing both the numerator and denominator by their GCD, which is 7. This simplifies the fraction to 1/4.

In summary, the fractions in their simplest forms are:

(a) 4/5

(b) 5/2

(c) 6/7

(d) 3/13

(e) 1/4.

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We can use the formula for the area of a triangle in three-dimensional space. The area is determined by the length of two sides of the triangle and the sine of the angle between them.

Let's first find the vectors representing the sides of the triangle. We can obtain the vectors PQ and PR by subtracting the coordinates of P from Q and R, respectively:

PQ = Q - P = (6, -5, 1) - (-4, -3, -1) = (10, -2, 2)

PR = R - P = (3, -4, 6) - (-4, -3, -1) = (7, -1, 7)

Next, calculate the cross product of the vectors PQ and PR to obtain a vector perpendicular to the triangle's plane. The magnitude of this cross product vector will give us the area of the triangle:

Area = |PQ x PR| / 2

Using the cross product formula, we have:

PQ x PR = (10, -2, 2) x (7, -1, 7)

= (14, 14, -18) - (-14, 2, 20)

= (28, 12, -38)

Now, calculate the magnitude of PQ x PR:

|PQ x PR| = √(28^2 + 12^2 + (-38)^2)

= √(784 + 144 + 1444)

= √(2372)

= 2√(593)

Finally, divide the magnitude by 2 to get the area of the triangle:

Area = (2√(593)) / 2

= √(593)

Therefore, the area of triangle PQR is √(593).

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