Calculate , the number of all partitions of a set of 6 elements into 3 disjoint sets. Calculate S73, the number of all partitions of a set of 6 elements into 3 disjoint sets.

Colton would need to invest approximately $9,467.72, rounded to the nearest dollar, for the value of the account to reach $22,700 in 16 years.

The question requires finding the amount that Colton needs to invest in an account paying an interest rate of 6.3% compounded continuously so that the value of the account reaches $22,700 in 16 years.

Identify the given values Principal amount (P) = unknown Interest rate (r) = 6.3%Time (t) = 16 years Amount (A) = $22,700

Use the formula for calculating the amount (A) with continuous compounding: A = Pert

where P = principal amount r = annual interest rate as a decimal t = time in years e = constant,  

approximately equal to 2.71828

Substitute the given values into the formula and solve for

P.A = Pert$22,700 = Pe^(0.063 * 16)

Solve for P by dividing both sides by

e^(0.063*16).$22,700 / e^(0.063 * 16) = P

Use a calculator to evaluate e^(0.063*16).

This is approximately 2.397.

Substitute this value into the equation and solve.

$22,700 / 2.397 = P

Thus, Colton would need to invest approximately $9,467.72, rounded to the nearest dollar, for the value of the account to reach $22,700 in 16 years.

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The length of the two-dimensional curve given by the equation r(t)=⟨4sint−4tcost,4cost+4tsint⟩, for 0≤t≤2π is 16π.

To find the length of the two-dimensional curve given by the equation r(t)=⟨4sint−4tcost,4cost+4tsint⟩ we can use the following formula: L = ∫02π |r'(t)|dt. To get the step-by-step answer, we can use the following steps:

Therefore, the length of the two-dimensional curve is 16π

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The volume of the cone is one-third the volume of the pyramid, the area of the circle is pi/4 the area of the square because the radius of the circle is half the side length of the square.

The volume of the cone is one-third the volume of the pyramid because the cone's base is a sector of the square, and the sector takes up one-third of the square's area.

Volume of a cone: The volume of a cone is equal to (1/3)πr²h, where r is the radius of the base and h is the height of the cone.

Volume of a pyramid: The volume of a pyramid is equal to (1/3)Bh, where B is the area of the base and h is the height of the pyramid.

In the problem, we are told that the area of the circle is pi/4 the area of the square. This means that the radius of the circle is half the side length of the square. We can use this information to find the volume of the cone and the pyramid.

Volume of the cone: The radius of the cone is half the side length of the square, so r = s/2. The height of the cone is h. The area of the base of the cone is (pi)(r²) = (pi)(s²/4). So, the volume of the cone is (1/3)π(s²/4)h = (1/12)πs²h.

Volume of the pyramid: The area of the base of the pyramid is the same as the area of the base of the cone, which is (pi)(s²/4). The height of the pyramid is the same as the height of the cone, which is h. So, the volume of the pyramid is (1/3)π(s²/4)h = (1/12)πs²h.

As you can see, the volume of the cone is equal to one-third the volume of the pyramid.

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Triangle ABD is congruent to triangle CBD

Congruent triangles are triangles that are precisely the same size and shape. The word congruent has the sign. When the three sides and three angles of one triangle match the same dimensions as the three sides and three angles of another triangle, two triangles are said to be congruent.

Given, BD perpendicular AC

Angle ADB = Angle CDB = 90

Therefore, angle ABD = angle CDB = 90

AB = CB

BD = BD

Hence, Triangle ABD is congruent triangle CBD

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Answer:

20/7 or 2 and 6/7

Step-by-step explanation:

This equation works out to 2/1 • 10/7, which we can easily see equals 20/7, or 2 and 6/7, by multiplying the numerators and denominators.

Answer:

Step-by-step explanation:

1-13

2-8

\(\frac{9}{4}\)Answer:

[-17, -\(\frac{9}{4}\)

graph would be closed circle, shaded to the left and the point placed a little over -2 bc -9/4   THEN another closed circle on -17 shaded to the right so they meet in the middle        

Step-by-step explanation:

-x-5 greater than or equal to 3x+4

-x-5 ≤ 12

x ≤ -9/4

-z-5 ≤ 12 ===== x > -17 (make sure to put a line under the >)

The unit price of the insulated socks is $6.89

The unit price of an item is the cost per unit of the item. We divide the price of certain number of units of an item by the number of units to find the unit price of that item.

We want to find the unit price for the insulated socks, or the price per pair of insulated socks. To find the unit price, we must divide the cost by the pairs of socks

We know that it costs $41.34 for 6 pairs of socks.

That is $41.34/6

=$6.89

The unit price is $6.89 per pair of insulated socks.

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Answer:

27 is 30% of what number?

D. 90

Step-by-step explanation:

You're welcome.

There are 256 different ways the person can select the ice cream sandwiches for the 10 students, considering the given constraints on the Mint and Plain ice cream sandwiches.

Since there are only 2 Mint ice cream sandwiches available, there are two possibilities: either 0 or 1 of the Mint ice cream sandwiches will be chosen.

In this case, we choose 1 Plain ice cream sandwich. The number of ways to select 1 Plain ice cream sandwich is also 1, which is a combination of choosing 1 item from the available 1. This can be represented as C(1, 1) = 1.

For each remaining student (excluding the already selected Mint and Plain ice cream sandwiches), there are two options:

Chocolate or Raspberry.

Since there are 8 remaining students, and each student has 2 options, the total number of ways to select the remaining ice cream sandwiches is 2⁸ = 256. Here, we use the exponentiation rule because each student has 2 options and the selection for each student is independent.

To calculate the total number of ways to select the ice cream sandwiches, we need to consider all the possibilities from the previous steps and multiply them together.

Total number of ways = (Number of ways to select Mint ice cream sandwiches) × (Number of ways to select Plain ice cream sandwiches) × (Number of ways to select remaining ice cream sandwiches)

Total number of ways = 1 × 1 × 256 = 256

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Answer: The missing answer is 16.

Step-by-step explanation: y=4x

Answer:

16

Step-by-step explanation:

x=4y

the ratio is 1 to 4 so you multiply x by 4 in order to get the corresponding y value

Answer:

-207

Step-by-step explanation:

t/23 = -9

Multiply both sides by 23 to cancel out the denominator.

23 * (t/23) = (-9) * 23

t = -207

Answer

x=6, y=21/2

Explanation

The 86 degrees is just to make you confused.

Since this is a congruent triangle, you can just follow these steps.

Line AB: To get from 4 to 6, you multiply by 1.5.

Line BC: Divide 9 by 1.5 to get x. 9 divided by 1.5 is 6.

Line AC: Multiply 7 by 1.5 to get y. 7 times 1.5 is 10.5.

So the correct answer is the first choice; x=6, y=21/2 (this is also 10.5).

Answer:

y= -1970

Step-by-step explanation:

Answer:

-1970

Step-by-step explanation:

y = -26x+6

x = 76

y = (-26 x 76) + 6

y = -1976 + 6 = -1970

Answer:

Your slope is -1

Step-by-step explanation:

Find the change in x and the change in y and put it in change in y over change in x.

Δx = -1 - -2 = 1

Δy = -1 - 0 = -1

Slope = rise over run = Change in y over change in x =  Δy/Δx = -1/1

Therefore the slope is -1/1 which is written as just -1

Answer: it is 9.50

Step-by-step explanation:

Answer:

I am pretty sure it is 19 blocks because it is 14 blocks before going back home. She needs to walk 3 blocks west and 2 blocks south. 14+3+2=19

Step-by-step explanation:

Answer:

n^14

Step-by-step explanation:

Simplify. Note that when you have a power on top of a power, you multiply the two powers.

(n^7)^2 = n^(7 * 2) = n^14

n^14 is your answer.

~

Use power rule: (a^b)^c = a^b*c

Solve.

= (n^7)^2

= n^7*2

= n^14

Best of Luck!

The dollar gains depreciated relative to the pound when the price of pounds in dollars increases, for instance, from $1 = 1 pound to $2 = 1 pound.

Devaluation of a currency can take place in both absolute and relative terms. When the value of one currency declines in relation to the values of other currencies, this is referred to as a relative devaluation. For instance, the British pound sterling may be worth more today than it did yesterday in terms of US dollars.

A currency's value declines when compared to other currencies, which is known as currency depreciation. Political unrest, interest rate differences, weak economic fundamentals, and investor risk aversion are a few examples of the causes of currency devaluation.

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The expected gain or loss of an experiment over the long run is called the expected value.

The expected value is the weighted average of all possible outcomes, where the weights are the probabilities of those outcomes occurring. It is calculated by multiplying each possible outcome by its probability of occurring and then adding up these products. The expected value can be used to make decisions and assess risk in various fields, including finance, economics, and gambling. If the expected value is positive, it means that, on average, the experiment will result in a gain, while a negative expected value indicates a loss.

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The probability that the sample proportion will be within 0.04 of the population proportion, based on a larger sample of 400 complaints, is 0.9543.

In order to determine the probability, we can make use of the Central Limit Theorem. The Central Limit Theorem states that for a large enough sample size, the distribution of sample proportions will approach a normal distribution, regardless of the shape of the population distribution.

The standard error of the sample proportion can be calculated using the formula:

standard error = sqrt((p * (1 - p)) / n),

where p is the population proportion and n is the sample size.

Given that we have a larger sample size of 400 complaints, we can assume that the sample is sufficiently large for the Central Limit Theorem to apply. Assuming a population proportion of p, the probability that the sample proportion will be within 0.04 of the population proportion can be calculated by finding the area under the normal distribution curve between p - 0.04 and p + 0.04.

Using a standard normal distribution table or a statistical software, we can find that the area under the curve between -0.04 and 0.04 is approximately 0.9543. Therefore, the probability that the sample proportion will be within 0.04 of the population proportion is 0.9543, or 95.43%.

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The value of the card was declining over the period  is from the month of January 2020 to July 2020.

To determine the period over which the value of the card was declining,

Identify the range of values for which the derivative of the function V(m) is negative.

Let's find the derivative of the function V(m),

V'(m)

= dV(m)/dm

= 500m - 3500

To determine when the value of the card is declining,  find when V'(m) is less than zero.

Setting V'(m) < 0,

⇒500m - 3500 < 0

Solving for m,

⇒500m < 3500

⇒m < 7

The value of the card is declining for values of m less than 7.

Since m represents the approximate number of months since the start of 2020,

The declining period can be determined as the time from the start of 2020 to the 7th month.

Hence, the period over which the value of the card was declining is from January 2020 to July 2020.

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Answer:

Step-by-step explanation:

tan29=32/x

x=32/(tan29)

x=58m

So the boat is 58 meters from the base of the lighthouse.

Answer:

:Both Tim and Jasmine calculated the volume properly. Tim gave the exact answer with pi in it, whereas Jasmine multiplied by pi and then rounded

Step-by-step explanation:

Answer:  Both Tim and Jasmine calculated the volume properly. Tim gave the exact answer with pi in it, whereas Jasmine multiplied by pi and then rounded to the nearest hundreth.

Step-by-step explanation:

Answer:

  7 seconds

Step-by-step explanation:

Ballistic motion is usually modeled in the vertical direction in US customary units by the equation h(t) = -16t^2 +v0·t +h0, where v0 and h0 are the initial velocity and height, and h(t) is the height as a function of time in seconds. For the given initial conditions, the equation of vertical motion will be ...

  h(t) = -16t^2 +64t +336

__

This question asks you for the value of t for which h(t) = 0. We can solve that equation by factoring.

  0 = -16t^2 +64t +336

  0 = t^2 -4t -21 . . . . . . . . divide by -16

  0 = (t -7)(t +3) . . . . . . . factor the quadratic

  t = 7 . . . . . . the positive value of t that makes the equation true

The ball will return to the ground after 7 seconds.

__

Additional comment

A graph of the function reveals the ball reaches a maximum height of 400 feet after 2 seconds.

In metric units, the equation is h(t) = -4.9t^2 +v0·t +h0, where distances are in meters instead of feet. Time is still in seconds.

Answer:

y=0.625

Step-by-step explanation:

Answer:

Sorry about the way it is, I don't know how to fix it But I hope you can try and understand it.

Step-by-step explanation:

y

=

3

8

x

−

3

4

in standard form is

3

x

−

8

y

=

6

.

Explanation:

Standard form for a linear equation is

A

x

+

B

y

=

C

.

y

=

3

8

x

−

3

4

Simplify

3

8

x

to

3

x

8

.

Subtract

3

x

8

from both sides of the equation.

−

3

x

8

+

y

=

−

3

4

Multiply both sides by

−

1

.

−

3

x

8

(

−

1

)

+

y

(

−

1

)

=

−

3

4

(

−

1

)

=

3

x

8

−

y

=

3

4

Multiply both sides by

8

.

(

3

x

)

⋅

8

8

−

y

(

8

)

=

(

3

)

⋅

8

4

=

(

3

x

)

⋅

8

1

8

1

−

y

(

8

)

=

(

3

)

⋅

8

2

4

1

=

3

x

−

8

y

=

6

Answer:

∠ BDC = 54°

Step-by-step explanation:

The inscribed angle BDC is half the measure of its intercepted arc , so

∠ BDC = \(\frac{1}{2}\) × 108° = 54°

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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this aint the answer but this is to help u in class when u cant use this app

Step-by-step explanation:

id recommend desmos scientific calc. you put the #'s in ex: 5/2 = 2.5 and it gives u the exact answer so u can put them in order easier also , use a lined paper sideways and put the numbers in the spaces to line it out iyk what i mean by that so you can number it from least to greatest easier !!! if ur confused ill try amd help u understand it morw but thats just how it helped me get how to do it

Answer:

The equation used to solved to determine the dimensions of the backyard is 51 = 4w - 10.4

Step-by-step explanation:

As given,

The backward is rectangular in shape

Also , we know that

Area of rectangle = 2 ( Length + Breadth )

Also, given,

Breadth of the backyard = 5.2 + Length of the backyard

Let

length of the backyard = l

Breadth of the backyard = w

∴ we get

w = 5.2 + l

⇒l = w - 5.2

and

Area = 2 ( l + w)

⇒51 = 2( w - 5.2 + w)

⇒51 = 2 ( 2w - 5.2)

⇒51 = 4w - 10.4

So, the equation used to solved to determine the dimensions of the backyard is 51 = 4w - 10.4

By solving we get

4w = 51 + 10.4

⇒4w = 61.4

⇒w = \(\frac{61.4}{4}\) = 15.35

⇒ w = 15.35

⇒ l = w - 5.2 = 15.35 - 5.2 = 10.15

⇒l = 10.15

So the dimensions of the backyard = l × b = 10.15 m × 15.35 m