Is it possible for three vectors of different magnitudes to add to zero?.

The height of the soccer ball at 12 seconds is 13 feet

From the question, we have the following parameters that can be used in our computation:

The table of values

When the values are entered in a quadratic regression model, we have:

A -0.96

B 4.75

C -0.31

So, the quadratic equation is

f(x) = -0.31x² + 4.75x - 0.96

To find the height of the soccer ball at 12 seconds, we have

f(12) = -0.31(12)² + 4.75(12) - 0.96

Evaluate

f(12) = 11.4

The closest to this is 13 feet

Hence, the height of the soccer ball at 12 seconds is 13 feet

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Component 3 must be started on day 197 to meet the delivery date of day 200.

To illustrate the backward schedule, we need to start from the delivery date (day 200) and work our way backward, taking into account the lead times and dependencies of each operation.

(a) Backward schedule:

Operation    |  Work Center  |  Time (hours)  |  Start Day

--------------------------------------------------------

Final Assembly |   Work Center 1  |        1       |     200

Sub-assembly 1 |   Work Center 2  |        2       |     199

Component 4     |   Work Center 3  |        3       |     197

Component 2     |   Work Center 4  |        4       |     196

Component 3     |   Work Center 5  |        3       |     ????

(b) To identify when component 3 must be started to meet the delivery date, we need to consider its dependencies and lead times.

From the backward schedule, we see that component 3 is required for sub-assembly 1, which is scheduled to start on day 199. The time required for sub-assembly 1 is 2 hours, which means it should be completed by the end of day 199.

Since component 3 is needed for sub-assembly 1, we can conclude that component 3 must be started at least 2 hours before the start of sub-assembly 1. Therefore, component 3 should be started on day 199 - 2 = 197 to ensure it is completed and ready for sub-assembly 1.

Hence, component 3 must be started on day 197 to meet the delivery date of day 200.

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Answer:

x=18

Step-by-step explanation:

Answer:

The answer is G and K

Step-by-step explanation:

Because i got it right on this test

Thank Me

The solution to the system of equation y = x + 12 and y = (1/2)x is (-24,-12).

Given the system of equation in the question;

y = x + 12

y = (1/2)x

To solve the system of equation, first plug equation to into equation one and solve for x.

y = x + 12

Plug in y = (1/2)x

(1/2)x = x + 12

Multiply each term by 2

2(1/2)x = 2x + 2(12)

x = 2x + 24

x - 2x = 2x - 2x + 24

x - 2x = 24

-x = 24

x = -24

Now, plug x = -24 into equation two and solve for y.

y = (1/2)x

Plug in x = -24

y = (1/2)( -24 )

y = -24/2

y = -12

Therefore, the value of x is -24 and y is -12.

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Answer:

y = - 6x - 15

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 6x + 2 ← is in slope- intercept form

with slope m = - 6

Parallel lines have equal slopes then

y = - 6x + c ← is the partial equation

To find c substitute (- 2, - 3 ) into the partial equation

- 3 = 12 + c ⇒ c = - 3 - 12 = - 15

y = - 6x - 15 ← equation of parallel line

Turn the percentage into a decimal.

95% / 100 = 0.95

Multiply.

200 * 0.95 = 190

Subtract.

200 - 190 = $10

Therefore, the dress costs $10 on sale.

Best of Luck!

Answer: The answer is 190.

Answer:

that will be 768!!!

Step-by-step explanation:

Answer:

6(x + 15)

Step-by-step explanation:

The answer is 6(x + 15). It states the product of 6, so that is multiplication. You are multiplying the six by the sum of x and 15. Sum means addition. So, your answer is 6(x + 15).

In the expression form, we can write the product of 6 and the sum of a number x and 15 as -

f(x) = 6x + 90

We have - the product of 6 and the sum of a number x and 15.

We have to write it in Algebraic expression form.

An algebraic expression in mathematics is an expression which is made up of variables and constants, along with algebraic operations (addition, subtraction, etc.).

According to question, we have - the product of 6 and the sum of a number x and 15.

Sum of a number x and 15 can be written as = x + 15

The product of 6 and the sum of x and 15 can be written as = 6(x + 15) = 6x + 90.

In this expression -   x is a variable, 90 is a constant value and the algebraic operation used is addition.

Hence, the equation in the expression form is -  f(x) = 6x + 90

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Answer:

B

Step-by-step explanation:

The contracted phone plan will have the same steepness and a higher y-intercept.

Answer:

B

Step-by-step explanation:

Answer:

its 17cm

Step-by-step explanation:

First u find ur sides (which are 5 and 12 cm long so u add those)

and tada ur answer shall be on ur left which is my way of saying its 17

Hope this helps

We are 99.8% confident that the true proportion of all unsafe small boats in the Cape Cod area lies between approximately 0.3161 and 0.4839.

To construct a confidence interval for the proportion of all unsafe small boats (p), we can use the formula for a confidence interval for a proportion:

Confidence interval = \(\hat{p}\) ± z * √((\(\hat{p}\) * (1 - \(\hat{p}\))) / n)

Where:

\(\hat{p}\) is the sample proportion of unsafe small boats (120/300 = 0.4)

z is the z-score corresponding to the desired confidence level (99.8% corresponds to a z-score of approximately 2.967)

n is the sample size (300)

Now we can plug in the values and calculate the confidence interval:

Confidence interval = 0.4 ± 2.967 * √((0.4 * (1 - 0.4)) / 300)

Simplifying the expression within the square root:

Confidence interval = 0.4 ± 2.967 * √(0.24 / 300)

Confidence interval = 0.4 ± 2.967 * √(0.0008)

Confidence interval = 0.4 ± 2.967 * 0.0283

Confidence interval = 0.4 ± 0.0839

Confidence interval ≈ (0.3161, 0.4839)

Interpretation:

We are 99.8% confident that the true proportion of all unsafe small boats in the Cape Cod area lies between approximately 0.3161 and 0.4839. This means that, based on the sample data, we can estimate with high confidence that the proportion of unsafe small boats in the Cape Cod area falls within this range.

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Answer:

4:2:3

Step-by-step explanation:

First you need to divide each number by a common factor like 2.

1. 16:8:12

Divide all numbers by two

8:4:6

Divide by two again

4:2:3

Since, you cannot simplify all of them again, the asnwer is

4:2:3

Answer:

4:2:3

Step-by-step explanation:

Blue : Green : Red

 16   :      8    :  12

  4   :       2   :    3

Answer:

27 cubic inches

Since each of the 6 faces of a cube have the same size, we know that each edge of the cube is √9 = 3 inches. Therefore the volume of the cube is 3 in x 3 in x 3 in = 27 cubic inches.on:

The points that has same quadrant as (2, –10) could Tamara use a number line to find the distance are (2, -9), (10, -10) and (7, -10)

The coordinates of the first point = (2, -10)

Using the number line we can only find the distance when the y coordinates or the x coordinates of the lines are equal

Here the first point is (2, -10)

The next point should be same quadrant, then the x coordinate will be positive and y coordinate will be negative

The points with same x coordinates = (2, -9)

The points with same y coordinates = (10, -10) and (7, -10)

Hence, the points that has same quadrant as (2, –10) could Tamara use a number line to find the distance are (2, -9), (10, -10) and (7, -10)

The complete question is

Tamara wants to find the distance from (2, –10) to other points. For which points in the same quadrant as (2, –10) could Tamara use a number line to find the distance? Check all that apply. (10, –10) (3, –2) (2, –9) (7, –10) (9, –2) (10, –2) (12, –1)

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The annual percent change in the population of town C will be 16.9

From the formula for the annual increase in population, we have

A = P( 1 + r/100 )n

Where, A = new population

r = rate of increase in the population per annum

n = number of years

Since, from the question, we have

n = 7

A = 3P

Therefore,

3P = \(P( 1+ r/100 )^{7}\)

Or, 3 = \(P( 1+ r/100 )^{7}\)

31/7 = 1 + r/100

1.169 = 1 + r/100

0.169 = r/100

r = .169 x 100 = 16.9

Therefore, the annual percent change in the population of town c is 16.9

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Answer:

The answer is 4900

Do you understand?

Step-by-step explanation:

.

The angle measure labelled with theta is 40. 2 degrees

To determine the value, we have that the six different trigonometric identities in mathematics are expressed as;

From the information given, we have that;

The angle is labelled θ

The opposite side is 31 in

The hypotenuse side is 48in

Now, using the sine identity, we get;

sin θ = 31/48

divide the values, we have;

sin θ = 0. 6458

Take the inverse of the value

θ = 40. 2 degrees

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To create the Venn diagram, we'll start by drawing three overlapping circles to represent the categories of stains: orange juice, wine, and chocolate. Let's label these circles as O, W, and C, respectively.

1. Start with the given information:

- 177 had no stains (which means it falls outside all circles). We'll label this region as "No Stains" and place it outside all circles.

- 101 had stains of only orange juice. This means it belongs to the orange juice category (O), but not to the other categories (W and C).

- 439 had stains of wine. This belongs to the wine category (W).

- 72 had stains of chocolate and orange juice, but no traces of wine. This belongs to both the orange juice (O) and chocolate (C) categories but not to the wine category (W).

- 289 had stains of wine, but not of orange juice. This belongs to the wine category (W) but not to the orange juice category (O).

- 463 had stains of chocolate. This belongs to the chocolate category (C).

- 137 had stains of only wine. This belongs to the wine category (W) but not to the other categories (O and C).

2. Determine the overlapping regions:

- We know that 72 had stains of chocolate and orange juice but no traces of wine, so this region should overlap the O and C circles but not the W circle.

- Since 289 had stains of wine but not of orange juice, this region should overlap the W circle but not the O circle.

- We can now calculate the remaining values for the orange juice and wine regions:

 - Orange juice (O): 101 (orange juice only) + 72 (chocolate and orange juice only) + X (overlap with wine) = 101 + 72 + X.

 - Wine (W): 439 (wine only) + 289 (wine but not orange juice) + X (overlap with chocolate and orange juice) + 137 (wine only) = 439 + 289 + X + 137.

3. Calculate the overlapping value:

- To find the overlapping value X, we can subtract the sum of the known values from the total:

 X = 1000 - (177 + 101 + 439 + 72 + 289 + 463 + 137) = 332.

Now we can fill in the values on the Venn diagram and label each section accordingly based on the calculated values and the given information.

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I may be incorrect.

Answer: 33.333333333333%

Step-by-step explanation:

The difference is 1/3. Twelve by three is four. Nine by three is three. The different from 9 to 12 is 1/3.

The value of the definite integral  \(\int\limits^4_0\) ( 3 \(\sqrt[]{t}\) - 2 \(e^{t}\)) dt is -103.2

We can evaluate the definite integral as,

\(\int\limits^4_0\) ( 3 \(\sqrt[]{t}\) - 2 \(e^{t}\)) dt

Rewriting the power rule of the integral as,

\(\int\limits^4_0\) ( 3 \(t^{1/2}\) - 2 \(e^{t}\)) dt

We can split up the integral we get,

\(\int\limits^4_0\) ( 3 \(t^{1/2}\) ) dt -  \(\int\limits^4_0\) (2 \(e^{t}\)) dt

= 3  \(\int\limits^4_0\) ( \(t^{1/2}\) ) dt -   2 \(\int\limits^4_0\) ( \(e^{t}\)) dt

= 3 [ (\(t^{3/2}\))/ (3/2) ] ₀⁴ - 2 [ \(e^{t}\)] ₀⁴

= (1/2) [ (\(4^{3/2}\)) - (\(0^{3/2}\))] - 2 [ e⁴ - e ⁰]

= (1/2) ( 8 - 0) - 2 ( 54.6 - 1)

where, e⁴ =m54.6 (approximately)

= 4 - 2*53.6

= -103.2

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Answer:

The answer is C.

Step-by-step explanation:

Remember, to find the mean of some scores, you must add all the scores together, then you must divide by the number of scores you added. In this case, you would divide by four, because you had four numbers you added to gether.

Source segregation refers to the ability to distinguish auditory events in the broader environment. This involves the distinction of various harmonic sounds present in the environment.

Source segregation is a perceptual process that allows individuals to separate and identify different auditory events or sources in a complex acoustic environment. It involves the ability to perceive and distinguish different sound sources based on their characteristics. This includes factors such as pitch, timbre, spatial location, and temporal properties.

The process of source segregation allows us to focus on specific sounds of interest while ignoring or separating them from other concurrent sounds. It enables us to identify and track individual sound sources in environments with multiple overlapping sounds, such as conversations in a noisy room or identifying individual instruments in a musical ensemble.

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Answer:

\(Profit\% = 25\%\)

Step-by-step explanation:

Given

Let the cost price be x

The profit be y

Required

Determine the profit percentage:

According to the question; profit =  1/4 of cost price.

So:

\(y =\frac{1}{4}x\)

The percentage profit is then calculated as:

\(Profit\% = \frac{Profit}{Cost\ Price} * 100\%\)

This gives:

\(Profit\% = \frac{Profit}{Cost\ Price} * 100\%\)

Substitute values for profit and cost price

\(Profit\% = \frac{\frac{1}{4}x}{x} * 100\%\)

\(Profit\% = \frac{1}{4} * 100\%\)

\(Profit\% = \frac{1 * 100\%}{4}\)

\(Profit\% = 25\%\)

Answer:

in the first person participle.

Step-by-step explanation:

To find two sets of polar coordinates for a point in the given rectangular coordinates (0, 2], we can use the formulas for converting rectangular coordinates to polar coordinates.

For the set of coordinates with r > 0, we can use the formula r = √(x^2 + y^2) and θ = atan2(y, x). In this case, since the point lies on the positive y-axis, the rectangular coordinates become (0, 2), and the polar coordinates will be (2, π/2).

For the set of coordinates with r < 0, we can use the same formulas, but multiply r by -1. In this case, the polar coordinates will be (-2, π/2 + π) = (-2, 3π/2).

Therefore, the two sets of polar coordinates for the point in (0, 2] are (2, π/2) and (-2, 3π/2). The first set corresponds to a positive distance from the origin, while the second set corresponds to a negative distance from the origin, indicating a point in the opposite direction.

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Answer: "3 + x".

Step-by-step explanation:

answer:

yes, because when you count the units you will see they are same

step-by-step explanation:

The "is" means "equals"

So we write \(72 = 8 \times 9\) which is the same as \(72 = 9 \times 8\) since order of multiplication doesn't matter. We could also flip both sides of the equation to get something like \(8 \times 9 = 72\), and still mean the same thing.