a Express the shaded area as a fraction, a decimal, and a percent of the whole.
Fraction:
Decimal:
Percent:
%

Answer:

The answer is D

Step-by-step explanation:

50,000 x 0.15 = 7500 and then you add the car cost (7500) it will add up to 15,000$

Answer:

Each container weigh 10^3pounds

Step-by-step explanation:

The question lacks the necessary values. Let's restructure the question and include values.

Your roommate's closet is full of skeletons. There are containers full of skeletons which weigh 100,000 pounds total. If there are 100 containers, how much does each container weigh? Leave your answer in the form a^b.

From the question, we are given the following;

Weight of containers full of skeleton = 100000 pounds

Number of containers = 100

Required

Weight of each container

Let's say:

100containers = 100000pounds

1 container = xpound

Cross multiply

100×x = 100,000

Divide both sides by 100

100x/100 = 100,000/100

x = 10,000/100

x = 10^5/10^2

Using the law of indices

x = 10^{5-2}

x = 10^3

Hence the answer in form of a^b is 10^3 pounds.

In a case whereby Adam traveled out of town for a regional basketball tournament. He drove at a steady speed of 72.4 miles per hour for 4.62 hours. The exact distance Adam traveled was miles Adam traveled a distance of about 335 miles.

The distance traveled in a unit of time is called speed. It refers to a thing's rate of movement. The scalar quantity known as speed is the velocity vector's magnitude. It has no clear direction.

Speed = Distance/ time

speed =72.4 miles

time=4.62 hours

Distance =speed * time

= 72.4 *4.62

Distance = 334.488 miles

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complete question;

Adam traveled out of town for a regional basketball tournament. He drove at a steady speed of 72.4 miles per hour for 4.62 hours. The exact distance Adam traveled was miles. Rounding decimals to the nearest whole number, Adam traveled a distance of about miles.

The rate of change of the given formula is 7.5

From the question, we are to find the rate of change of the given formula.

The given formula, f(n) = f(n-1) + 7.5, represents a recursive sequence in which each term is obtained by adding 7.5 to the previous term.

To find the rate of change of this sequence, we need to find the common difference between consecutive terms. Since the initial value is given as f(1) = 21, we can use the recursive formula to find the next few terms:

f(2) = f(1) + 7.5 = 21 + 7.5 = 28.5

f(3) = f(2) + 7.5 = 28.5 + 7.5 = 36

f(4) = f(3) + 7.5 = 36 + 7.5 = 43.5

...

From this pattern, we can see that the common difference between consecutive terms is 7.5. This means that each term in the sequence is obtained by adding 7.5 to the previous term, so the rate of change of the sequence is 7.5.

Hence, the rate of change is 7.5

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Two events that are disjoint are not independent. This is because that disjoint events do not overlap, which means that if one event occurs, the other cannot. So, the occurrence of one event provides information about the absence of the other, which violates the definition of independence.

Two events A and B are considered independent if the occurrence of A has no effect on the likelihood of B occurring, and vice versa.

In other words, the probability of both events happening at the same time is equal to the product of their individual probabilities:

\(P(A and B) = P(A) * P(B) (B).\)

This formula cannot be satisfied when two events are disjoint because if one event occurs, the other cannot occur. As a result, two disjoint events are not independent.

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Given information:v.magnitude = 3v makes an angle with positive x-axis.The angle made by v with the positive x-axis is 150°.v is in the direction 4i + 3j.Solution: We have to find the component form of v.

Let's represent the given information on a graph:From the above graph, we can say that v makes an angle of 30° with negative y-axis.The angle between v and the negative y-axis = 180° - 30° = 150°Let's find the magnitude of v:Let v be (x,y).v = x i + y j

Magnitude of v, |v| = √(x² + y²) = 3 Therefore, x² + y² = 3² = 9 ...(1)Angle made by v with negative y-axis, θ = 30°∴ The angle made by v with positive x-axis, α = 150° - 90° = 60°sinθ = y/|v|y = 3 sinθ = 3 sin(30°) = 1.5From equation (1),x² + 1.5² = 9x² = 9 - 2.25 = 6.75x = ± √6.75Since v makes an angle of 150° with the positive x-axis, the vector v lies in the second quadrant. Therefore, x is negative.So, x = - √6.75 and y = 1.5Hence, the component form of v is:(- √6.75, 1.5).Thus, the component form of v is (- √6.75, 1.5).

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Answer:

Region B

Step-by-step explanation:

The solution to the system is the point at which the two lines intersect, which would be in Region B.

Minimum percentage: 96% of the data set lies between 50 and 100.

The value of k:

Mean – (k) (sd) = lower limit

75 – 5K - 50

75 – 50 = 5k

25 = 5k

K = 5

For the percentage, we are using:

1 – 1/k^2.

1 - 1/ 25 = 24/25 = 96%

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A chronic cough and chest pain that Henry has developed as he worked for the restoration of old buildings due to exposure to volatile organic compounds asbestos ammonia are symptoms of an illness called Silicosis.

Silicosis is a long-term lung disease generated by inhaling large amounts of crystalline silica dust, generally over many years. Silica is a substance naturally formed in certain types of stone, rock, sand and clay. Working with these materials may develop a very fine dust which can be easily inhaled.

This illness generates when a construction worker breathes in silica particles, that can penetrate into the lungs and cause inflammation and scarring. In most cases, treatment for silicosis is focused at alleviating the symptoms, such as a chronic cough, shortness of breath, and chest pain.

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The correlation that demonstrates the weakest correlation between two variables is option a) +.20.

Among the given options, the correlation that demonstrates the weakest correlation between two variables is option b) -50.

In correlation coefficients, the value ranges from -1 to +1, where -1 represents a perfect negative correlation, +1 represents a perfect positive correlation, and 0 represents no correlation or a very weak correlation.

Let's analyze the options provided:

a) +.20:

This indicates a positive correlation, but the value is relatively small (0.20).

It suggests a weak positive relationship between the variables.

b) -50:

This option appears to be a typographical error since the correlation coefficient cannot be negative 50.

Assuming it is meant to be -0.50, this indicates a moderate negative correlation.

c) +.75:

This option represents a strong positive correlation.

With a coefficient of 0.75, it suggests a relatively strong positive relationship between the variables.

d) -76: Similar to option b, this value appears to be a typographical error. A correlation coefficient cannot exceed the range of -1 to +1.

Assuming it is meant to be -0.76, this indicates a strong negative correlation.

Comparing the given options, the weakest correlation is option b) -50, assuming it was intended to be -0.50. A correlation coefficient of -0.50 represents a moderate negative correlation, which is weaker than the other options but still indicates some relationship between the variables.

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Answer:

m<1 = 69

m<2 = 37

m<3 = 106

m<4 = 21

Step-by-step explanation:

Technically efficient, is what pizza parlor is but not allocatively efficient nor economically efficient

What is meant by Technical efficiency? Give an example.

The effectiveness with which a several  set of inputs is employed to generate an output is called as technical efficiency. Technical efficiency refers to a company's ability to generate the highest amount of output from the least amount of inputs, such as labor, capital, and technology.

Technical effectiveness eliminates the wants  for resource unemployment.

Consider the following example : Using its present staff and robot count, a company manufactures 300 automobiles every week. if 320 was the highest possible output.

The company's technical efficiency rate is (300/320) = 93.75%.

In this example , certain employees and factor inputs are underutilized, and some potential production is lost.

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Answer:

so do

24.50-13=11.50

11.50-12.00=  answer

Step-by-step explanation:

I think so

The volume of the pyramid is 46.08 cubic feet. Rounded to the nearest tenth of a cubic foot, the volume is 46.1 ft³.

To find the volume of a pyramid with a square base, we can use the formula:

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

Given that the area of the base is 14.4 ft² and the height of the pyramid is 9.6 ft, we can substitute these values into the formula:

Volume = (1/3) * 14.4 ft² * 9.6 ft

Calculating this expression:

Volume = (1/3) * 138.24 ft³

Simplifying:

Volume = 46.08 ft³.

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Answer:

x= -5/3

Step-by-step explanation:

(you dont have to apologize for not knowing something <3)

Answer:

It would be considered stealing.

Step-by-step explanation:

They did willingly give you their card BUT, they trusted you to only spend a certain amount and not go over that certain limit. You went over the limit even though they specifically told you not to go over it so yes, it would be classified as stealing.

a) The probability of getting 722 or more peas with red flowers is 95.431%

b) 722 peas with red flowers is not significantly​ high.

c) We cannot conclude that the scientist's assumption is wrong.

An example of a continuous probability distribution is the normal distribution, in which the majority of data points cluster in the middle of the range while the remaining ones taper off symmetrically towards either extreme. The midpoint of the range is also known as the mean of the distribution.

Given:

927 peas in sample with 722 of them having red flower

Using Normal distribution

In a normal distribution with mean μ and standard deviation σ, the z-score of a measure X is given by:

Z = (X - μ) / σ

If  np ≥ 10 and n (1 - p) ≥ 10 , the binomial distribution can be approximated to the normal with:

μ = np

σ = √np (1-p)

where n= 927 and p= 3/4 = 0.75

So, μ = np = 927 (0.75) = 695.25

and, σ = √np (1-p) = √ 695.25 (1-0.75) = 13.183

a. The probability of getting 722 or more peas with red flowers

P(X ≥ 722 - 0.5) = P(X ≥ 721.5) ,

Then:

Z = (X - μ) / σ

= (721.5 - 695.25) / 13.183

= 1.99

The p value of z score 1.150 is 0.04659

1 -0.04659 = 0.95341 = 95.341%

b. Since Z < 2, 722 peas with red flowers is not significantly high.

c. Since 722 peas with red flowers is not a significantly high result, we cannot conclude that the scientist's assumption is wrong.

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For the matrix A the cofactor of a_12 = 3,  a_21 = -12, and a_33 = -7 and the determinant of adj(A) using expansion along the second row is 122.

a) To determine the cofactors of the matrix:

A = [2 -1 2]

   [-1 -3 -2]

   [3 -2 -3]

The cofactor of an element a_ij is obtained by C_ij = (-1)^(i+j) * M_ij, where M_ij is the determinant of the matrix obtained by removing the i-th row and j-th column from matrix A.

Cofactor of a_12:

C_12 = (-1)^(1+2) * M_12

Removing the 1st row and 2nd column from A, we obtain:

M_12 = [-1 -2]

            [3 -3]

Now, we can calculate the determinant of M_12:

M_12 = (-1) * (-3) - (-2) * 3 = -3

Thus, C_12 = (-1)^(1+2) * (-3) = 3.

Cofactor of a_21:

C_21 = (-1)^(2+1) * M_21

Removing the 2nd row and 1st column from A, we have:

M_21 = [2 2]

            [3 -3]

Now, we calculate the determinant of M_21:

M_21 = 2 * (-3) - 2 * 3 = -12

Hence, C_21 = (-1)^(2+1) * (-12) = -12.

Cofactor of a_33:

C_33 = (-1)^(3+3) * M_33

Removing the 3rd row and 3rd column from A, we obtain:

M_33 = [2 -1]

             [-1 -3]

Calculating the determinant of M_33:

M_33 = 2 * (-3) - (-1) * (-1) = -7

Therefore, C_33 = (-1)^(3+3) * (-7) = -7.

b) To evaluate the determinant of adj(A) using expansion along the second row:

adj(A) represents the adjugate matrix of A, which is obtained by taking the transpose of the matrix of cofactors of A.

The cofactor matrix of A is:

C = [C_11 C_12 C_13]

     [C_21 C_22 C_23]

     [C_31 C_32 C_33]

Taking the transpose of C, we get:

adj(A) = [C_11 C_21 C_31]

        [C_12 C_22 C_32]

        [C_13 C_23 C_33]

Now, we evaluate the determinant of adj(A) by expanding along the second row:

det(adj(A)) = C_12 * adj(A)_12 + C_22 * adj(A)_22 + C_32 * adj(A)_32

Since we are expanding along the second row, adj(A)_12, adj(A)_22, and adj(A)_32 are the elements of the second row of adj(A).

adj(A)_12 = C_21

adj(A)_22 = C_22

adj(A)_32 = C_23

Substituting these values, we have:

det(adj(A)) = C_12 * C_21 + C_22 * C_22 + C_32 * C_23

Plugging in the calculated values of the cofactors:

det(adj(A)) = 3 * (-12) + (-12) * (-12) + (-7) * (-2)

∴ det(adj(A)) = 122

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Answer:

Our calculator limits your interest deduction to the interest payment that would be paid on a $1,000,000 mortgage. Interest rate: Annual interest rate for this

Step-by-step explanation:

With the help of  application of derivatives we can solve our question.

What is application of derivatives?

Derivatives are often used in mathematics.

They can be used to determine a function's maximum or minimum, the slope of a curve, or even the inflection point.

Below are a few instances where we will use the derivative. And the following sections go into great detail about each of them. The application of derivatives is most frequently found in:

Finding a Quantity's Rate of Change, Finding the Approximation Value, Tangent and Normal Equation to Curve Equation, Finding the Approximation Value,

Identifying the Point of Inflection, the Maxima and Minima, and the Increasing and Decreasing Functions

According to our question-

As c=2πr, it's given that dc/dt=2πdr/dt=2. (given).

A=πr2 so dA/dt=2πrdr/dt by the chain rule.

dc/dt=2πdr/dt where we are given dc/dt=2cm/s.

Area as a function of the radius is a(r)=πr2, and, again, taking derivatives we write da/dt=π(2rdrdt).

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.

Answer:

16 x 64 x 4

Step-by-step explanation:

2 x 2 x 2 x 2 = 16

2 x 2 x 2 x 2 x 2 x 2 = 64

2 x 2 = 4

x = 1/2 × 68

  = 34

That's the rule just its half also y is the same thing while x and y are looking at the same arc

:>

Answer:

  7 cm

Step-by-step explanation:

You want the edge length of a cube whose space diagonal is 7√3 cm.

The square of the face diagonal of a cube of edge length s is ...

  d² = s² +s² = 2s²

The square of the space diagonal is found by applying the Pythagorean theorem again. The space diagonal is the hypotenuse of a right triangle whose legs are one cube edge and the face diagonal.

  D² = s² +d² = s² +2s² = 3s²

  D = √(3s²) = s√3

So, we want to find s when D = 7√3:

  s√3 = 7√3

  s = 7

The edge length of the cube is 7 cm.

Answer:

y=mx-c

Step-by-step explanation:

follow to explain

Answer:

Justin's salary will be $1048 when he sells $3400 worth of merchandise.

Step-by-step explanation:

If the salesperson receives a monthly base pay and the commission on the sales expression that represents his monthly pay,

y = B + C(x)

Here y = Monthly pay

B = Base pay

C = percentage of commission

x = Amount of sales done

If he sells $500 worth of merchandise in a month, he earns $410,

410 = B + C(500) -----(1)

If he sells $900 worth of merchandise in a month, he earns $498,

498 = B + C(900) ------(2)

By subtracting equation (1) from equation (2),

498 - 410 = 900C - 500C

88 = 400C

C = \(\frac{88}{400}\)

C = 0.22

From equation (1),

410 = B + 0.22(500)

B = 410 - 110

B = $300

Therefore, expression for the monthly earning will be,

y = 300 + 0.22(x)

Justin's salary when he sells $3400 worth of merchandise in a month,

y = 300 + 0.22(3400)

y = 300 + 748

y = $1048

Therefore, Justin's salary will be $1048.

Answer:

The answer is "Negative Slope".

Step-by-step explanation:

This is 100% right

Answer:

Total number of ways = 20

Step-by-step explanation:

Given:

Total number of panels = 6

Total number of color = 3

Find:

Total number of ways

Computation:

Total number of ways = ⁶C₃

Total number of ways = !6/!(6-3)!3

Total number of ways = !6/(!3)!3

Total number of ways = 20

Answer:20

Step-by-step explanation:

idk

The value of the copier after 3 years and 6 months can be found by substituting t = 3.5 into the function and solving for V. The salvage value of the copier can be found by substituting t = 5 into the function and solving for V.

After 3 years and 6 months of use, the copier is worth $5,800. This can be found by substituting t = 3.5 into the function V(t)-3600t+20000: V(3.5) = 3600(3.5) - 20000 + 20000 = $5,800.

The salvage value of the copier after 5 years of use is $4,000. This can be found by substituting t = 5 into the function V(t)-3600t+20000: V(5) = 3600(5) - 20000 + 20000 = $4,000. This is the value of the copier when it is sold or replaced after 5 years of use.

The domain of the function is all real numbers because time and value can take on any real value. However, since the function is only defined for the first 5 years of use, t must be between 0 and 5.

The graph of the function is a downward-sloping line with an intercept of $20,000 on the y-axis and a slope of -3600. This means that the value of the copier decreases by $3,600 each year. At t = 0, the copier is worth $20,000, and after 5 years, it is worth $4,000. The graph is a straight line because the function is linear.

Complete Question:

The function V(t)-3600t+20000, where V is value and t is time in years, can be used to find the value of a large copy machine during the first 5 years of use. a. What is the value of the copier after 3 years and 6 months? After 3 years and 6 months, the copier is worth $ b. What is the salvage value of the copier if it is replaced after 5 years? After 5 years, the salvage value of the copier is ts c. State the domain of this function. d. Sketch the graph of this function. 20000 18000 16000 14000 12000 10000 8000 6000+ 4000 2000 4 .

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