Place each function below in the appropriate cell to show the transformation from f to g. (Desmos)

Answer:

the answer is in the attachment

The curvature k(t) of the Eequation r(t) =  (-2sint) i + (-2sint) j + (-cost) k will be [tex]\frac{2\sqrt{2} }{(8cos^2t + sin^2t)^{3/2}}[/tex]

Given r(t) = (-2sint) i + (-2sint) j + (-cost) k

We can clearly see that r(t) is a vector equation of t.

If r(t): R→R³ is a vector-valued function of a real variable with independent scalar output variables x, y & z

where, r(t) = {x, y, z}

Where x = (-2sint) , y = -2sint and z = -cost

We know that the curvature to be

|| r'(t) X r"(t) ||  /  ||r'(t)||³

This implies we need to find the determinant of the cross product of the derivative and double derivative of the equation r(t) for the numerator

r'(t) =  (-2cost) i + (-2cost) j + (sint) k

r"(t) =  (2sint) i + (2sint) j + (cost) k

hence we get || r'(t) X r"(t) || to be

[tex]\left|\begin{array}{ccc}i&j&k\\-2cost&-2cost&sint\\2sint&2sint&cost\end{array}\right|[/tex]

[tex]= \left|\begin{array}{ccc}-2cost&sint\\2sint&cost\end{array}\right| i - \left|\begin{array}{ccc}-2cost&sint\\2sint&cost\end{array}\right|j + \left|\begin{array}{ccc}-2cost&-2cost\\2sint&2sint\end{array}\right|k[/tex]

= -2i + 2j

Hence the magnitude will be

√(2² + 2²)

= 2√2 units

magnitude of r'(t) is

[tex]\sqrt{(2sint)^2 + (2sint)^2 + (cost)^2}[/tex]

= [tex]\sqrt{8cos^2t + sin^2t}[/tex]

Hence we get the curvature to be

[tex]\frac{2\sqrt{2} }{(\sqrt{8cos^2t + sin^2t})^3}[/tex]

simplifying this will give us

[tex]\frac{2\sqrt{2} }{(8cos^2t + sin^2t)^{3/2}}[/tex]

Hence the curvature k(t) will be [tex]\frac{2\sqrt{2} }{(8cos^2t + sin^2t)^{3/2}}[/tex]

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Correct Question

Find the curvature k(t) of the curve r(t) = (-2 sin t)i + (-2 sin t)j + (-1 cost)k

Answer:

Nacho Average Minos

Step-by-step explanation:

z=11.25-10/1.5 = 1.25/1.5 = 0.834

z=11.25-12/1 = -0.75/1 = -0.75

Interference is a property of ALL the given wave options, which are light waves, sound waves, and water waves.

Interference is the phenomenon of two or more waves combining to form a resultant wave of greater, lower, or the same amplitude.

When two waves meet at the same point at the same time, they either combine constructively (resulting in the formation of a wave of greater amplitude) or destructively (resulting in the formation of a wave of lower amplitude).

For instance, when two sound waves or light waves meet, they create a resultant wave whose amplitude is equal to the sum of the two original waves.

This is known as constructive interference.

On the other hand, when two waves meet and their amplitudes are in opposite directions, they produce a resultant wave whose amplitude is equal to the difference between the two waves.

This is known as destructive interference.

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Answer:

Barbados won the Bronze.

Step-by-step explanation:

The information indicates that Jamaica finished before Barbados, but behind Trinidad which means that Trinidad was the first one, then Jamaica and the third one was Barbados:

1. Trinidad

2. Jamaica

3. Barbados

Then, it indicates that Haiti finished before Guyana, but behind Barbados which indicates that Haiti was in 4th place after Barbados and  the last one was Guyana:

1. Trinidad

2. Jamaica

3. Barbados

4. Haiti

5.Guyana

According to this, the answer is that Barbados won the Bronze.

Sam has a 4/5 expected value of scoring each time she shoots from the free-throw line.

This means that the probability of her missing her first shot is 1/5. The expected value of the number of free-throws that Sam will score before her first miss is therefore 1/(1/5) = 5.

The variance of the number of free-throws that Sam will score before her first miss is (1−p)/p²

, where p is the probability of success.

In this case, p=4/5, so the variance is (1−4/5)/(4/5)²

=16/25.

= 4/5

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Answer:

The 2009 Nobel Peace Prize was awarded to United States President Barack Obama for his "extraordinary efforts to strengthen international diplomacy and cooperation between people".

Step-by-step explanation:

The 2009 Nobel Peace Prize was awarded to United States President Barack Obama for his "extraordinary efforts to strengthen international diplomacy and cooperation between people".

Answer:

6.2 miles

Step-by-step explanation:

10 kilometers=.62 miles

.62*10= 6.2 miles

Answer:

80

Step-by-step explanation:

Let the total number of statues be s.  Then 0.75s = 60, and s = (4/3)(60 statues) = 80

He has 80 statues total.

a. Using intersection of events probability of FUA is 0.0165

b. Using complement rule, the probability of F'UA is 0.9835

To find the probabilities, we can use the given information and apply the appropriate probability rules.

(a) FUA represents the event that the driver is female, 24 years old or less, and is involved in a fatal vehicle accident.

We can calculate this probability using the formula: P(FUA) = P(F ∩ A), where ∩ denotes the intersection of events.

P(FUA) = P(F) * P(A|F)

Given information:

P(F) = 0.2868 (probability that the driver is female)

P(A) = 0.1828 (probability that the driver is 24 years old or less)

P(A|F) = 0.0576 (probability that the driver is 24 years old or less given that the driver is female)

P(FUA) = 0.2868 * 0.0576 ≈ 0.0165

Therefore, the probability of FUA is approximately 0.0165.

(b) F'UA represents the event that the driver is not female, 24 years old or less, and is involved in a fatal vehicle accident.

We can calculate this probability using the complement rule: P(F'UA) = 1 - P(FUA).

P(F'UA) = 1 - P(FUA) ≈ 1 - 0.0165 ≈ 0.9835

Therefore, the probability of F'UA is approximately 0.9835.

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None of the options are reducible polynomial

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

The list of options

The variable Q means rational numbers

So, we can use the rational root theorem to test the options

So, we have

(a) 4x³ + x - 2

Roots = ±(1, 2/1, 2, 4)

Roots = ±(1, 1/4, 2, 1, 1/2)

(b) 3x³ - 6x² + x - 2

Roots = ±(1, 2/1 ,3)

Roots = ±(1, 1/3, 2, 2/3)

(c) 5x³ + 9x² - 3

Roots = ±(1, 3/1 ,5)

Roots = ±(1, 1/5, 3, 3/5)

See that all the roots have rational numbers

And we cannot determine the actual roots of the polynomial.

Hence, none of the options are reducible polynomial

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Using the appropriate depreciation table, MACRS 5 years, the total depreciation amount for 2020, assuming the taxpayer opted out of Sec. 179 in the year of purchase and other assumption, is B) $8,640.

Depreciation refers to the gradual expensing of a long-term asset.

Under the MACRS 5 years for a light equipment, the depreciation rate applicable to the second year is 32%.

The cost of the truck = $27,000

Purchase date = April 5, 2019

Depreciation rate = MACRS 5 years

Depreciation rate for the second year under the MACRS 5 years table = 32%

Depreciation amount for 2020 = $8,640 ($27,000 x 32%)

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Answer:

V = 960 cm^3

Step-by-step explanation:

Volume of a rectangular prism = L * W * H

V = 12 * 8 * 10

V = 960 cm^3

Answer:

d. 960 cm^3

Step-by-step explanation:

The formula for volume is length x width x height. To solve you have to multiply 12 by 8 by 10 to get 960

Answer:

c) 59.6516 miles

d) 158.503 quarts, 64.3738 km

Answer:

45 minutes

Step-by-step explanation:

1 1/2 hours = 90 minutes

90 - 45 = 45

Answer:

OMg whats there ikdd im tring

Step-by-step explanation: Im starting to solve it

The forecasted sales for February through April are as follows:

February: 19.5, March: 25.65, April: 30.755. The forecasted sales for May is approximately 35.928.

Exponential smoothing is a time series forecasting method that assigns weights to past observations, with the weights decreasing exponentially as the observations get older. The smoothed value for a particular period is a weighted average of the previous smoothed value and the actual value for that period.

To calculate the smoothed values and forecast sales using exponential smoothing with α = 0.3, we start with the initial forecast for January, which is given as 18. Then, for February, we use the formula:

Smoothed value (February) = α * Actual sales (February) + (1 - α) * Smoothed value (January)

= 0.3 * 25 + 0.7 * 18 = 19.5

Similarly, for March:

Smoothed value (March) = α * Actual sales (March) + (1 - α) * Smoothed value (February)

= 0.3 * 34 + 0.7 * 19.5 = 25.65

And for April:

Smoothed value (April) = α * Actual sales (April) + (1 - α) * Smoothed value (March)

= 0.3 * 40 + 0.7 * 25.65 = 30.755

Finally, for the forecasted sales in May:

Forecasted sales (May) = Smoothed value (April) = 30.755

Therefore, the forecasted sales for May, using exponential smoothing with α = 0.3, is approximately 35.928.

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Answer:

6/ y^8

Step-by-step explanation:

Answer:

you fo to the fourth box on there and put - then go to the box after that and put 1

Step-by-step explanation:

sorry if im wrong

The probability of drawing a face card from a deck is 3/13 or approximately 0.23.

The odds against an event is defined as the ratio of the number of ways the event doesn't occur to the number of ways it occurs. In this case, the odds against drawing a face card from a deck are 9:4. So, there are 9 ways to not draw a face card and 4 ways to draw a face card.

The total number of cards in a deck is 52, and there are 12 face cards (4 jacks, 4 queens, and 4 kings). Therefore, the probability of drawing a face card is:

P(face card) = number of face cards/total number of cards = 12/52 = 3/13

We can check that this probability satisfies the given odds against:

9/4 = 9/(9+4) = 9/13

1 - P(face card) = 1 - 3/13 = 10/13

The odds against drawing a face card is the same as the probability of not drawing a face card, which is 10/13. Therefore, the odds in favour of drawing a face card can be calculated as:

odds in favour= (3/13)/(10/13) = 3/10

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Answer:

answer is \/

Step-by-step explanation:

The difference between the maximum and minimum value of x^2y^3 is determined by finding the product at the extreme values.

Given that two positive numbers x and y with a maximum value of 4 add up to 5, we can solve for the minimum value of x and y. Since the maximum value for x and y is 4, we assume that one number is 4 and the other number is 1, as they add up to 5.

Calculating the product x^2y^3 for these values, we have (4^2)(1^3) = 16. To find the maximum value of x and y, we need to distribute the sum of 5 unevenly between them. By assigning x = 1 and y = 4, we get (1^2)(4^3) = 64.

Therefore, the difference between the maximum and minimum value of x^2y^3 is 64 - 16 = 48.

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The statement x > 0 and y < 0 must be true for any point (x, y) located in Quadrant IV.

If the point (x, y) is in Quadrant IV, it means that the x-coordinate is positive and the y-coordinate is negative. In Quadrant IV, the x-values are positive, as they are to the right of the y-axis, and the y-values are negative, as they are below the x-axis.

Therefore, the correct statement is:

x > 0 and y < 0.

In Quadrant IV, the x-values are greater than 0, indicating a positive x-coordinate, and the y-values are less than 0, indicating a negative y-coordinate. This is because in Quadrant IV, the x-axis is to the right of the y-axis, and the y-axis is below the x-axis.

Hence, the statement x > 0 and y < 0 must be true for any point (x, y) located in Quadrant IV.

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Answer:

we know that 25% of something is = to 1/4 of something and we know 1/4 of that number is 8 so we have to do 8 plus 8 plus 8 plus 8 to get the answer or 8 times 4 which = 32

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

0.20 x 40 = 8

Therefore, 20% of 40 is 8

Answer:

-36

Step-by-step explanation:

Answer:

i think x = 21

Step-by-step explanation:

just the first one 11 ........

The the success rate of the student is PHYS>MATH. Therefore, the correct answer is Option A.

We can calculate the success rate of the student by calculating the z-score of each of the courses. The z-score is calculated as (x-μ)/σ, where x is the individual score, μ is the mean of the data, and σ is the standard deviation of the data.

For Physics, we have x=60, μ=49, and σ=11. So the z-score is (60-49)/11=1.09.

For Mathematics, we have x=58, μ=55, and σ=16. So the z-score is (58-55)/16=0.19.

Since the z-score of Physics is greater than the z-score of Mathematics, the student's success rate in Physics is greater than the student's success rate in Mathematics.

Therefore, the correct answer is Option A.

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The height of the rocket is increasing when 0< t < 3 and decreasing when 3 < t < 6.

Option C is correct.

From the graph,

It is observed that , In interval 0< t < 3 , slope of graph is positive. Therefore, the height of the rocket is increasing

It is observed that , In interval 3 < t< 6 , slope of graph is negative. Therefore, the height of the rocket is decreasing.

Therefore, option C is correct.

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