A company receives 1.5% commission on the sale price of each house sold. For each house he selis, James earns 1/3 of the company's

commission. James sells a house for $205.000. How much money will James earn?

A. $1,025

B. $3,075

C. $9,225

D. $10.250

To find the displacement and total distance traveled by the object from t=0 to t=6, we need to integrate the velocity function over the given time interval.

The displacement can be found by integrating the velocity function v(t) with respect to t over the interval [0, 6]. The integral of v(t) represents the net change in position of the object during this time interval.

The total distance traveled can be determined by considering the absolute value of the velocity function over the interval [0, 6]. This accounts for both the forward and backward movements of the object.

Now, let's calculate the displacement and total distance traveled using the given velocity function v(t) = t^2 - (1/t) - 12 over the interval [0, 6].

To find the displacement, we integrate the velocity function as follows:

Displacement = ∫[0,6] (t^2 - (1/t) - 12) dt.

To find the total distance traveled, we integrate the absolute value of the velocity function as follows:

Total distance = ∫[0,6] |t^2 - (1/t) - 12| dt.

By evaluating these integrals, we can determine the displacement and total distance traveled by the object from t=0 to t=6.

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Answer:

0.66667

Step-by-step explanation: I converted 24 inches to yards and thats what I got

The correct answer is A.\(\((5 \frac{1}{\overline{9}}) \times (-0.\overline{3})\)\), as it involves the multiplication of two rational numbers, resulting in a rational number.

Therefore, the product of these two rational numbers in option A will yield a rational number.

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Answer:

3/8

Step-by-step explanation:

Answer:

3/8

Step-by-step explanation:

You divide fractions by flipping it around and multiplying it...

The reciprocal of 2 is 1/2

So 3/4*1/2=3/8

Answer:

∠CBD = 4(4) + 52°

              = 16° + 52°

              = 68°

Step-by-step explanation:

Given that,

∠ABC = 8x - 10°

∠CBD = 4x + 52°

Also,

∠ABD = 90°

∠ABD = ∠ABC + ∠CBD

∠ABD (90°) = (4x + 52°) + (8x - 10°)

∠ABD (90°) = 4x + 52° + 8x - 10°

∠ABD (90°) = (4x + 8x) + (52° - 10°)

∠ABD (90°) = 12x + 42°

90° - 42° = 12x

48° = 12x

\(\frac{48}{12}\) = x

4° = x

∠CBD =  4x + 52°

∴ ∠CBD = 4(4°) + 52°

              = 16° + 52°

              = 68°

Answer:

  16

Step-by-step explanation:

If we take the partial image to be 1/2 of a full image, then there are a total of

  5 1/2 + 2 + 6 + 2 1/2 = 16

acorn images on the graph. Each image represents 4 acorns, so a total of ...

  4 × 16 = 64

acorns are represented on the graph. Since these are ones the squirrels ate, the remaining 80 -64 = 16 acorns were left uneaten.

Answer:

Either A or C I think, Good luck!!!

Step-by-step explanation:

Answer:

Its B

Step-by-step explanation:

24x2+25x−47=(−8x−3)(ax−2)−53

then multiply (−8x−3) and (ax−2) using FOIL.

24x2+25x−47=−8ax2−3ax+16x+6−53

Then, reduce the right side of the equation

24x2+25x−47=−8ax2−3ax+16x−47

Since the coefficients of the x2-term have to be equal on both sides of the equation, −8a=24, or a=−3.

The final answer is B.

The measure of the smaller interior angle is approximately 144 degrees.

The measure of the larger interior angle is 36 degrees.

Let's denote the measure of the smaller interior angle as x.

According to the given information, the measure of one interior angle (let's call it y) is 0.25 times the measure of the smaller angle. Therefore, we can write the equation:

y = 0.25x

Since a parallelogram has opposite angles congruent, we know that the sum of the measures of the smaller and larger angles is 180 degrees. Hence, we can write another equation:

x + y = 180

Substituting the value of y from the first equation into the second equation, we have:

x + 0.25x = 180

Combining like terms:

1.25x = 180

To find the measure of the smaller angle (x), we divide both sides of the equation by 1.25:

x = 180 / 1.25

x ≈ 144

Therefore, the measure of the smaller interior angle is approximately 144 degrees.

To find the measure of the larger interior angle, we substitute the value of x into the equation:

y = 0.25x

y = 0.25 * 144

y = 36

Hence, the measure of the larger interior angle is 36 degrees.

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The sector area created by the hands of a clock with a radius of 9 inches when the time is 4:00 is 27π square inches. Then the correct option is C.

It is a locus of a point drawn at an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.

The sector area is created by the hands of a clock with a radius of 9 inches when the time is 4:00.

Then the radius (r) is 9 inches and the angle is 120°.

We know that the area of the sector is given by

\(\rm Area\ of \ sector = \dfrac{\theta}{360} \pi r^2 \\\\\\Area\ of \ sector = \dfrac{120}{360} \pi * 9^2\\\\\\Area\ of \ sector = 27 \pi\)

The sector area created by the hands of a clock with a radius of 9 inches when the time is 4:00 is 27π square inches. Then the correct option is C.

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Answer:

what does x mean, like what number does it represent in this situation

Answer:

x = 27

Step-by-step explanation:

I made '3' into 9/3

x/3 - 9/3 = x/9 + 9/3

convert terms to fractions with a denominator of 9

x/3 = 3x/9

9/3 = 27/9

3x/9 - 27/9 = x/9 + 27/9

(3x-27)/9 = (x+27)/9

since each denominator equals 9 we can set the numerators equal to each other:

3x - 27 = x + 27

3x = x + 54

2x = 54

x = 27

Answer:

The area formula of a circle is \(A=\pi* r^2\) where r is the radius and in this case our r is 48 m.  So we would just plug in 48 m into r which would get squared and then multiplied by pi to give us \(7,238.23\ m\).

Hope this helps!  Let me know if you have any questions

Answer:

\(\pi\)r²

the subjects for 10 years to see which group develops more cancer this is a Prospective study

Individuals are monitored in real-time for prospective studies, as information is gathered about them as their traits or situations evolve. Prospective studies include things like birth cohort studies.

In retrospective research, people are sampled, as details regarding their history are gathered. This could be done by asking people to recollect significant occurrences during interviews or by finding pertinent administrative data to fill in the blanks on former events and conditions.

A study sample is split into two groups in a randomized experiment: one will get the intervention under research, while the other won't.

A matched experiment is a type of research setup in which subjects are paired up according to traits they have in common before being divided into categories.

A survey involves asking a sample of people a specified set of questions.

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Answer:

The speed of the boat is approximately 0.704 m/s

Step-by-step explanation:

The time it takes the man in the boat to change the angle of elevation from 60° to 45°, t = 2 minutes = 120 seconds

The height of the light house = 200 m

Given that the angle of elevation is reducing, the direction of the man is away from the lighthouse

The initial distance of the man in the boat from the lighthouse = 200 m/(tan(60°)) = (200/√3) m

The final distance of the man in the boat from the lighthouse = 200 m/(tan(45°)) = 200 m

The distance traveled in 2 minutes, d = 200 m - (200/√3) m ≈ 84.53 m

The speed of the boat, v = d/t

∴ v = 84.53 m/(2 min × 60 s/min) ≈ 0.704 m/s

The speed of the boat, v ≈ 0.704 m/s.

Answer:

a is the answer to this question but sorry if I am wrong

Answer:B

Step-by-step explanation:

Because I got the question wrong and that was the correct answer

The probability of selecting a star-shaped straw from a cup that contains orange juice is 1/3.

The probability that a randomly selected cup contains a star-shaped straw given that the cup contains orange juice is obtained by dividing the number of cups containing orange juice and star-shaped straws by the total number of cups containing orange juice.

P(probability) = (Number of cups containing orange juice and star-shaped straws) / (Number of cups containing orange juice)

We are not given any information about the number of cups, thus we can assume that it is an equal amount. Hence, the number of cups containing orange juice would be equal to the number of cups containing different flavored juices. Therefore, Number of cups containing orange juice = Number of cups containing different flavored juices

The number of cups containing orange juice and star-shaped straws is not given, so we can assume that it is 3 since there are three flavors of juice. The number of cups containing orange juice and star-shaped straws = 3

Thus, the probability that a randomly selected cup contains a star-shaped straw given that the cup contains orange juice is: Probability = (3/9) = 1/3

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True. Hexadecimal numbers are written using the base 16 number system, where digits range from 0 to 9 and A to F. They are commonly used in computer systems for concise representation and easy conversion to binary.

In the hexadecimal number system, there are 16 symbols used to represent values, namely 0-9 and A-F. Each digit in a hexadecimal number represents a multiple of a power of 16.

The symbols 0-9 represent the values 0-9, respectively. The symbols A-F represent the values 10-15, respectively, where A represents 10, B represents 11, C represents 12, D represents 13, E represents 14, and F represents 15.

For example, the hexadecimal number "3F" represents the value (3 * 16^1) + (15 * 16^0) = 48 + 15 = 63 in decimal.

Similarly, the hexadecimal number "AB8" represents the value (10 * 16^2) + (11 * 16^1) + (8 * 16^0) = 2560 + 176 + 8 = 2744 in decimal.

Hexadecimal numbers are commonly used in computer systems, as they provide a convenient way to represent large binary numbers concisely. Each hexadecimal digit corresponds to a four-bit binary number, allowing for easy conversion between binary and hexadecimal representations.

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Answer: answer is c

Step-by-step explanation:

The minimum cost of fencing the rectangular field with an area of 900 square meters is approximately $2,375.15.

Let's solve for one variable in terms of the other using the area equation:

l x w = 900

l = 900/w (by dividing both sides by w)

Now we can substitute this expression for "l" into the perimeter equation:

P = 2l + 2w

P = 2(900/w) + 2w

P = (1800/w) + 2w

To minimize P, we can take the derivative with respect to w and set it equal to zero:

dP/dw = -1800/w² + 2 = 0

Solving for w, we get:

w = √(1800/2) = 30√(2)

We can now use this value of w to find the corresponding value of l from the area equation:

l = 900/w = 900/(30√(2)) = 30√(2)

Therefore, the dimensions of the rectangular field that require the least amount of fencing while still having an area of 900 square meters are l = 30√(2) meters and w = 30√(2) meters.

The total length of fencing required is:

P = 2l + 2w

P = 2(30√(2)) + 2(30√(2))

P = 120√(2)

The minimum cost of the fence can be found by multiplying the total length of fencing by the cost per meter of fencing:

Cost = 14 x P = 14 x 120√(2) = 1680√(2) dollars = $2,375.15.

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Using the conversion factor we know that 3 servings of milk chocolate have to consume to equal 3 cups of coffee in terms of caffeine.

So, have 100g servings of milk.

We need to make it equal to 3 cups of coffee.

We know that 1 cup of coffee also has 100g of caffeine in it.

So, to match the caffeine from milk chocolate:

100 × 3 = 300g which is 3 servings

Therefore, using the conversion factor we know that 3 servings of milk chocolate have to consume to equal 3 cups of coffee in terms of caffeine.

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The function that has the least out when x = -10 is: a. f(x).

The output of each function for x = -10 can be found by substituting x = -10 into each function to find the output. Using the graph, use the equation of the function to also calculate to find the output.

For f(x), when x = -10, f(-10) = 3(-10) + 4

f(-10) = -30 + 4

f(-10) = -26

For g(x) when x = (-10), g(-10) = 0.5(-10) + 8

f(-10) = -5 + 8

g(-10) = 3

For j(x), j(-10) = -4(-10)

j(-10) = 40

For h(x), when x = -10, using the graph, h(-10) = 1/4(-10) - 3

h(-10) = -2.5 - 3

h(-10) = -5.5

The least output is f(-10) = -26.

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Answer:

29.5

Step-by-step explanation:

First, you find the area of a 7 by 5 rectangle.

Then you subtract the two triangles that are the access pieces.

The sine and the cosine of the acute angle are the same for θ = π / 4. (Correct choice: 2)

Acute angles are angles whose measures are greater than 0° and less than 90°. According to the statement, we must find at least a value such that sin θ = cos θ:

sin θ = cos θ                     Given

sin θ / cos θ = 1                 Compatibility with multiplication / Existence of multiplicative inverse / Modulative property

tan θ = 1                            Definition of tangent

θ = π / 4                            Inverse trigonometric function / Result

In a nutshell, the sine and the cosine of the acute angle are the same for θ = π / 4. (Correct choice: 2)

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Answer:

hurricane

Step-by-step explanation:

The effect estimation requires more than simple regressions of "Quality of Care" on "Shift Hours" (Part 1) or with "Hospital Characteristics" (Part 2). Including "Tiredness" (Part 3) or using variable (Part 5) is necessary.

To estimate the causal effect of changing shift hours on quality of care, several factors must be considered. Regression analysis with just a constant and "Shift Hours" (Part 1) fails to account for confounding variables, leading to biased estimates. Including "Hospital Characteristics" (Part 2) still overlooks omitted variable bias and endogeneity issues.

However, by adding "Tiredness" to the regression (Part 3), the direct and indirect effects of shift hours on quality of care can be estimated. The coefficient of "Shift Hours" represents the direct causal effect, while the coefficient of "Tiredness" captures the mediating effect. Regressing "Quality of Care" solely on "Policy" (Part 4) neglects confounders.

When "Hospital Characteristics" are unobserved, instrumental variable estimation (Part 5) can address endogeneity by identifying an instrumental variable unrelated to quality of care but affecting shift hours.

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Answer:

Step-by step explanation:

Conclusion:

Therefore, 4m - 3  - 3m + 1 equals m - 2.

Hoped this helped.

\(BrainiacUser1357\)

Answer:

-x+4, 4+-x

Step-by-step explanation:

Obtain these answers by moving the X and 4 around and multiplying the equation by -1