I'll give you 100 points if you answer this correctly!!

Make a table of ordered pairs for the equation.

y=−1/3x+4

Then plot two points to graph the equation.

Answer:

$0.36

Step-by-step explanation:

To find the unit cost divide the total cost by the number of bottles

$7.20 ÷ 20 = $0.36

Answer:

41 minutes before noon

Step-by-step explanation:

The given parameters are;

The time camera A starts taking pictures = 6 AM

The frequency of picture taking by camera A = Once every 11 minutes

The time camera B starts taking pictures = 7 AM

The frequency of picture taking by camera B = Once every 7 minutes

The number of times both cameras take a picture at the same time before noon = 4 times

Let the time the two cameras first take a picture the same time be x, we have;

11·y - 60 = x

7·z  = x

Taking the number of times after 7 camera A snaps and noting that the first snap is 6 minutes after 7, we have

11·b + 6  = x

7·z = x

x is a factor of 7 and 11·b + 6 and x is some minutes after 7

By using Excel, to create a series of values for Camera A based,  on 11·b + 6, and dividing the results by 7 we have the factors of 7 at;

28, 105, 182, and 259 minutes after 7

Given that there are 60 minutes in one hour, we have;

259/60 = 4 hours 19 minutes, which is 11:19 a.m. or 41 minutes before noon.

Answer:

\( \frac{11}{13} \times \frac{1}{4} \times \frac{1}{3} = \frac{11}{156} \)

So the volume of this rectangular prism is 11/156 of a cubic foot.

Answer:

Also to help some of you out here’s the answer to question 6 !!

Question 6 : No apparent relationship exist between the side lengths of quadrilateral BCDE inscribed in circle A

Step-by-step explanation:

Answer:

Approximately \(12.9\; \rm km \cdot h^{-1}\), assuming that this orbit is circular.

Step-by-step explanation:

The question is asking for a tangential velocity with the unit \(\rm km \cdot h^{-1}\). The unit of the given distance is already in \(\rm km\) as required. Convert the unit of the orbital period to hours:

\(\begin{aligned}T &= 1230\; \text{day} \times \frac{24\; \rm h}{1\; \text{day}}. = 29520\; \rm h\end{aligned}\).

Calculate the angular velocity \(\omega\) of this planet from its orbital period:

\(\begin{aligned}\omega &= \frac{2\, \pi}{T} \\ &= \frac{2\, \pi}{29520\; \rm h} \approx 2.1285 \times 10^{-4}\; \rm h^{-1}\end{aligned}\).

Given the radius \(r\) of the orbit of this planet, the tangential velocity \(v_{\perp}\) of this planet would be:

\(\begin{aligned}v_{\perp} &= \omega\, r \\ &\approx 2.1285 \times 10^{-4}\; \rm h^{-1} \times 2.22\times 10^{7}\; \rm km \\ &\approx 4.73 \times 10^{3}\; \rm km \cdot h^{-1}\end{aligned}\).

If the orbit of this planet is circular, the velocity of the planet would be equal to its tangential velocity: \(4.73\times 10^{3}\; \rm km \cdot h^{-1}\).

Answer:

100•a²•b

Step-by-step explanation:

10•10=100

a•a=a²

and then just b

The theories of motivation include theories X and Y. Managers use these theories, which are highly dissimilar from one another, to inspire their staff. While theory Y places an emphasis on rewards and recognition, theory X places more significance on supervision.

Let’s understand the application of Theory X and Theory Y:

While Theory X emphasizes the necessity of increased monitoring, outside rewards, and penalties, Theory Y emphasizes the significance of job pleasure as a motivator and encourages employees to approach jobs without direct supervision.

An organization that applies theory X will also have an authoritarian management style. There is hardly much management delegation of power. Companies that adhere to Theory Y, on the other hand, use a more decentralized approach, which means that employees share in authority. They are motivated as a result. Under theory Y, a few fundamental presumptions exist. One of them is that workers take ownership of their activities and work independently to further the objectives of the company. The employees are more engaged and attempt to resolve issues without the assistance of managers. This management approach is more prevalent than hypothesis X. Even a minor employee can take part in the decision-making process under this sort of management. Theory X relies on the notion of penalizing individuals in order to maintain employment, whereas theory Y emphasizes promotions, prizes, and recognition as key components. This maintains staff motivation to put in a lot of effort toward the organization's goals.

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At time t=2, the velocity vector is ⟨1/2, -1/4, 32⟩, the speed is sqrt(1025)/4, and the acceleration vector is ⟨-1/4, 1/2, 48⟩.

To find the velocity vector, speed, and acceleration vector of the object at time t=2, we need to take the first and second derivatives of the position vector with respect to time.

Position vector: r(t) = ⟨ln t, 1/t, t^4⟩

Velocity vector: v(t) = dr/dt = ⟨1/t, -1/t^2, 4t^3⟩

Acceleration vector: a(t) = d^2r/dt^2 = ⟨-1/t^2, 2/t^3, 12t^2⟩

To find the values at t=2, we plug in t=2 to the expressions for the velocity and acceleration vectors:

Velocity vector at t=2:

v(2) = ⟨1/2, -1/4, 32⟩

Speed at t=2:

|v(2)| = sqrt((1/2)^2 + (-1/4)^2 + 32^2) = sqrt(1025)/4

Acceleration vector at t=2:

a(2) = ⟨-1/4, 1/2, 48⟩

Therefore, at time t=2, the velocity vector is ⟨1/2, -1/4, 32⟩, the speed is sqrt(1025)/4, and the acceleration vector is ⟨-1/4, 1/2, 48⟩.

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Answer:  x = 3/2 (fraction form)  OR  1.5 (decimal form)

Step-by-step explanation:

4x + 17 = 23

STEP 1: SOLVE the equation just like you would a normal algebra equation.  To start, subtract 17 from both sides of the equation. The 17 on the left side will cancel out, and the 23 on the right side of the equation should now equal 6.

        4x = 6

STEP 2:  DIVIDE 4 from both sides of the equation to isolate the variable and get x by itself.  Dividing the 4 by 4x cancels out the 4 leaving you with x, and the 6 on the right side should now equal six-fourths (6/4).

          x = 6/4

STEP 3:  We're not done yet though because now we need to simplify 6/4.  If you divide the numerator and the denominator by 2, 6/4 is now simplified down to three-thirds (3/2).  And 3/2 in decimal form in 1.5.  Depending on how the problem wants your answer will decide what form of the answer you will have to use.  

x = 3/2  OR  x = 1.5

Answer:

Step-by-step explanation:

5 x (8 − 5) ÷ 3   5 times

5 x (8 − 5) ÷ 3   the difference of 8 and 5

5 x (8 − 5) ÷ 3   then divide by 3

5 times   the difference of 8 and 5   then divide by 3

Answer:

a,c,b

Step-by-step explanation:

Answer: e = 17.8

Step-by-step explanation: 14.6 + 3.2

The trigonometric rations of the sine functions are:

Sin α = opposite side / hypotenuse. Cos α = adjacent side / hypotenuse.

Tan α =  opposite side / adjacent side.

From the given figure, ∠P=90° and ∠R+∠Q=90°.

According to the Pythagoras's Theorem,

(PQ)² = √(50)² - (14)²

(PQ)² = 2500-196= 2304

PQ = √(2304)

PQ= 48 units

Blank 1: Sin Q = opposite side / hypotenuse

Sin Q = 14/50

Sin Q = 0.28

Blank 2: Cos Q = adjacent side / hypotenuse

Cos Q = 48/50

Cos Q = 0.96

Blank 3: Tan Q = opposite side / adjacent side

Tan Q = 14/48

Tan Q = 0.29

Blank 4: Sin R = opposite side / hypotenuse

Sin R = 48/50

Sin R = 0.96

Blank 5: Cos R = adjacent side / hypotenuse

Cos R = 14/50

Cos R = 0.28

Blank 6: Tan R = opposite side / adjacent side

Tan R = 48/14

Tan R = 3.42

Therefore, these are the trigonometric ratios that are given in the sum.

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Answer:

Domain and range » Tips for entering queries. Enter your queries using plain English. To avoid ambiguous queries, make sure to use parentheses where necessary. Here are some examples illustrating how to ask for the domain and range. domain of log(x) (x^2+1)/(x^2-1) domain; find the domain of 1/(e^(1/x)-1) function domain: square root of cos(x)

Step-by-step explanation:

The correct answer choice for the MPC (marginal propensity to consume) when the multiplier is 6 is not provided among the options A. 0.16, B. 0.83, C. 0.71, or D. 0.86.

The MPC is calculated as the ratio of the change in consumption to the change in income. When the multiplier is given, we can derive the MPC using the formula MPC = 1 / (1 + MPC). In this case, the multiplier is stated to be 6.

To find the corresponding MPC, we can solve the equation 1 / (1 + MPC) = 6 for MPC.

Rearranging the equation, we have 1 + MPC = 1 / 6. Subtracting 1 from both sides, we get MPC = 1 / 6 - 1 = -5 / 6.

The result MPC = -5 / 6 implies a negative MPC, which does not align with any of the given answer choices.

Additionally, all the answer choices provided (0.16, 0.83, 0.71, and 0.86) are positive values, further confirming that none of them represents the correct MPC when the multiplier is 6.

Therefore, the correct answer choice for the MPC when the multiplier is 6 is not listed among the options A. 0.16, B. 0.83, C. 0.71, or D. 0.86.

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Answer:

She earned $42,000 in the previous year

Step-by-step explanation:

9% can be rewritten as 0.09

0.09x is 4050

divide both sides by 0.09

0.09x becomes x

4050 becomes 45,000

then we subtract 3,000 from 45,000 to find the previous years salary

If slope of the line is 1/3,  then slope of the perpendicular line should be negative reciprocal, and so it is equal -3.

Lines that cross at a straight angle (90 degrees) are said to be perpendicular. Two geometric objects in basic geometry are perpendicular if they intersect at a right angle. The perpendicular sign,, is a graphic representation of the perpendicularity criterion.

Between two lines, between a line and a plane, or between two planes, it can be defined. slope, An evaluation of a line's inclination with respect to the horizontal using numbers.

The slope of any line, ray, or line segment in analytical geometry is defined as the ratio of the vertical to the horizontal distance between any two points on the line ("slope equals rise over run"). The slope or gradient of a line in mathematics is a number that indicates the line's steepness and direction.

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The yield of the 20-year 7% annual interest bond selling for $1,084 is approximately 3.12%(d).

To calculate the yield of a bond, we can use the formula:

Yield = (Annual Interest / Bond Price) × 100

We are given the information with Annual Interest = 7% of the face value = 0.07 × $1,000 = $70

Bond Price = $1,084

Yield = (70 / 1084) × 100 ≈ 3.12%

Therefore, the yield of the bond is approximately 3.12%. So the correct option is d which means that the yield of the bond is approximately 3.12%.

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Answer:

B

Step-by-step explanation:

\( \frac{1}{3} \times 2 = \frac{2}{3} \)

hope this helps.

Principal Component Analysis (PCA) is a dimensionality reduction technique used to simplify complex datasets while retaining important information. It achieves this by transforming the original variables into a new set of variables called principal components.

These principal components are linear combinations of the original variables and are designed to capture the maximum amount of variance in the data.

Here's a detailed explanation of the steps involved in PCA:

1. Standardize the data:

  First, the dataset is standardized by subtracting the mean from each variable and dividing by the standard deviation. Standardizing the data ensures that each variable contributes equally to the analysis and prevents variables with larger scales from dominating the results.

2. Compute the covariance matrix:

  The covariance matrix is calculated based on the standardized data. It represents the relationships between different variables in the dataset. The covariance between two variables measures how they vary together. A positive covariance indicates that the variables tend to increase or decrease together, while a negative covariance indicates an inverse relationship.

3. Compute the eigenvectors and eigenvalues:

  The eigenvectors and eigenvalues are calculated from the covariance matrix. Eigenvectors represent the directions in the dataset along which the data varies the most. Each eigenvector corresponds to an eigenvalue, which represents the amount of variance explained by the respective eigenvector. The eigenvectors are sorted in descending order based on their corresponding eigenvalues.

4. Select the principal components:

  The principal components are selected based on the eigenvalues. The first principal component (PC1) corresponds to the eigenvector with the largest eigenvalue and captures the most variance in the data. Subsequent principal components capture decreasing amounts of variance. Typically, a subset of principal components that explain a significant portion (e.g., 95%) of the total variance is chosen.

5. Transform the data:

  The original data is transformed into the new coordinate system defined by the principal components. This transformation involves multiplying the standardized data by the matrix of selected eigenvectors. The resulting transformed data contains the scores along the principal components.

PCA is useful for various purposes, including dimensionality reduction, data visualization, and feature extraction. It allows for the identification of patterns and relationships within the dataset while reducing the dimensionality of the data, which can be beneficial in computational efficiency and interpretation.

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The tangential and normal components of the acceleration when s = 10 m is 40 m/s^2 and 8 m/s^2 respectively.

In the given question, a car is travelling along the road with a speed of 2s m/s, where s is in meters.

We have to determine the tangential and normal components of the acceleration when s = 10 m.

Speed (v) = 2s  

Motion is circular so, Radius of circle = 50m

Tangential acceleration = dv/dt

Tangential acceleration = d(2s) / dt

Tangential acceleration = 2(ds)/dt

Tangential acceleration = 2v

Tangential acceleration = 2(2s)

Tangential Acceleration = 4s

As given s = 10 m

Tangential acceleration = 4 x 10

Tangential acceleration  = 40 m/s^2

Normal acceleration = v^2/ r

Normal acceleration = 4s^2/r

Normal acceleration = {4 x 10^2}/50

Normal acceleration = {4 x 100}/50

Normal acceleration = 400/50

Normal acceleration = 8 m/s^2

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The complete question is:

A car is travelling along the road with a speed of 2s m/s, where s is in meters. Determine the tangential and normal components of the acceleration when s = 10 m. Treat the car as a particle

Answer: 13.8

Step-by-step explanation:

Answer:

13.8

Step-by-step explanation:

The function represented by the table is polynomial function

From the graph, we have the following highlights:

The function that has the above property is a polynomial function

Hence, the function represented by the table is polynomial function

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Mia can create a scale drawing of a football field using a scale of 1:1,000. The scale drawing will provide a Visual representation of the field, allowing for easier analysis and planning.

To create a scale drawing of a football field using a scale of 1:1,000, Mia can follow these steps:

1. Determine the dimensions: The football field's dimensions are given as 120 yards by 53 1/3 yards. Convert the fractional measurement to a decimal for simplicity. In this case, 1/3 yard is approximately 0.333 yards.

2. Decide on the units: Since the scale is 1:1,000, Mia needs to determine the unit of measurement she will use in her scale drawing. For consistency, she can choose to use feet as the unit.

3. Calculate the scaled dimensions: To create the scale drawing, Mia needs to scale down the dimensions of the football field. Since the scale is 1:1,000, she can divide the actual dimensions by 1,000 to obtain the scaled dimensions. The scaled dimensions would be 120 yards / 1,000 = 0.12 yards (or 0.36 feet) for the length and 53.333 yards / 1,000 = 0.053333 yards (or 0.16 feet) for the width.

4. Draw the scaled football field: Using a ruler and a grid paper, Mia can draw a rectangle with dimensions of 0.12 feet by 0.053333 feet (or inches, depending on the size of the grid paper). She can label the sides of the rectangle with the corresponding measurements in feet.

5. Add additional markings: Mia can add other markings to the scale drawing, such as the goal posts, yard markers, and any other important features of the football field. She can refer to the actual measurements and proportions of these elements to ensure accuracy.

By following these steps, Mia can create a scale drawing of a football field using a scale of 1:1,000. The scale drawing will provide a visual representation of the field, allowing for easier analysis and planning.

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Answer:

Step-by-step explanation:

If you mean 3x^3 - 42x^2 - 4x + 5 = 0 you can graph it manually or with technology

The roots are 14.09, 0.30 and -0.39 to nearest hundredth.

Answer:

Allison needs at least 12 more sessions to reach the goal

Step-by-step explanation:

I hope this helps you! :)

-KeairaDickson

Answer:

Step-by-step explanation:

The BMI of an 118-lb adult who is 5 feet 4 inches tall is approximately 20.25.

BMI stands for Body Mass Index.

It's a measure of body fat based on height and weight that applies to both adult men and women.

BMI is an easy-to-perform screening tool for body fat levels that can help identify individuals who have health risks linked with excess body fatness.

It's important to keep in mind that the BMI measurement should not be used as a diagnostic tool for health conditions and is only one component in an overall evaluation of a person's health status.

Using the formula below, we can calculate the BMI of an 118-lb adult who is 5 feet 4 inches tall: BMI = (weight in pounds / (height in inches x height in inches)) x 703

First, we need to convert the height into inches:5 feet 4 inches = 64 inches

Next, we plug the values into the formula and solve for the BMI:

BMI = (118 / (64 x 64)) x 703BMI = (118 / 4,096) x 703BMI = 0.0288 x 703BMI = 20.2464

Therefore, the BMI of an 118-lb adult who is 5 feet 4 inches tall is approximately 20.25.

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A(8) = 9/7A(-5) = -1/3A(3/1) = 2A(-71/1) = -5/36

Function: A(t) = (t+1)/(t-1)For the given function A(t), the following values are to be calculated: A(8), A(-5), A(3/1), and A(-71/1)A(8):We need to substitute t=8 in the function. A(8) = (8+1)/(8-1) = 9/7Therefore, A(8) = 9/7A(-5):We need to substitute t=-5 in the function. A(-5) = (-5+1)/(-5-1) = -1/3Therefore, A(-5) = -1/3A(3/1):We need to substitute t=3/1 in the function. A(3/1) = (3/1+1)/(3/1-1) = (4)/(2/1) = 4*1/2 = 2Therefore, A(3/1) = 2A(-71/1):We need to substitute t=-71/1 in the function. A(-71/1) = (-71/1+1)/(-71/1-1) = (-70/1)/(-72/1) = (-5/36)Therefore, A(-71/1) = -5/36Therefore, the respective answers for the given values of the function A(t) are as follows: A(8) = 9/7A(-5) = -1/3A(3/1) = 2A(-71/1) = -5/36

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