(d) an 802.11ac wi-fi network consists of an 8 antenna ap and 6 stations with the following numbers of antennas: • station a has 4 antennas • station b has 2 antennas • station c has 2 antennas • station d has 1 antenna • station e has 1 antenna • station f has 1 antenna

Answer:

Step-by-step explanation:

Given the length of a rectangle = 3x+10

Width of the rectangle = x+12

Perimeter of the rectangle = 76ft

For us to get the area of the rectangle we need to get the value of its length and width.

Given the perimeter of a rectangle P = 2(L+W) where;

L is the length and W is the width, on substitution

76 = 2(3x+10+x+12)

76 = 2(4x+22)

76 = 8x+44

8x = 76-44

8x = 32

x = 32/8

x = 4

Substituting x = 4 into the function of the length and width we have;

Length = 3(4)+10

Length = 22feet

Width = 4+12

width = 16feet

Area of the rectangle = Length * Width

Area of the rectangle = 22feet * 16feet

Area of the rectangle = 352ft²

The differential equation describing the cell phone sales is \(\frac{{dy}}{{dt}} = 0.5357 \cdot y(t) \cdot \left(1 - \frac{{y(t)}}{{100}}\right)\).

Based on the given information, the cell phone sales growth is logistic, with a carrying capacity of 100 thousand units. When 28 thousand cell phones have been sold, the rate of sales increase is 10 thousand units per month.

The logistic growth differential equation is given by:

\(\frac{dy}{dt} = k \cdot y(t) \cdot \left(1 - \frac{y(t)}{M}\right)\)

where dy/dt is the rate of change in sales, y(t) is the number of cell phones sold after t months, k is the growth rate, and M is the carrying capacity.

In this case, y(t) = 28, dy/dt = 10, and M = 100. To find k, we can plug these values into the equation:

10 = \($k \cdot 28 \cdot \left(1 - \frac{28}{100}\right)$\)

Solving for k:

k ≈ 0.5357

Therefore, the differential equation describing the cell phone sales is:

\(\frac{{dy}}{{dt}} = 0.5357 \cdot y(t) \cdot \left(1 - \frac{{y(t)}}{{100}}\right)\)

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The explicit formula for the nth term of the sequence 14,16,18,... is aₙ = 2n + 12.

What is an explicit formula?

The explicit equations for L-functions are the relationships that Riemann introduced for the Riemann zeta function between sums over an L-complex function's number zeroes and sums over prime powers.

Here, we have

Given:  the sequence 14,16,18,….

First term a₁ = 14

Common difference d = 16 - 14 = 2

Now, plug the values into the above formula and simplify.

aₙ = a₁ + d( n - 1 )

aₙ = 14 + 2( n - 1 )

aₙ = 14 + 2n - 2

aₙ = 14 - 2 + 2n

aₙ = 2n + 12

Hence,  the explicit formula is aₙ = 2n + 12.

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Answer: Stop and Save

Step-by-step explanation:

Cost of 1 apple at Quick market=1.17/3

                                                      =$0.39

Cost of 1 apple at Stop and Save=1.25/5

                                                        =$0.25

answer: Stop and Save is the better buy.

The sum of the squared deviations from the sample mean is 384. The sum of the squared deviations from the sample mean can be calculated by multiplying the sample size minus one by the square of the standard deviation.

To find the sum of squared deviations from the sample mean, we first need to calculate the mean of the sample. Let's assume the mean of the sample is represented by x. The sum of squared deviations can be calculated using the formula:

Sum of squared deviations = \((n - 1) s^2\)

Where n represents the sample size and s represents the standard deviation. In this case, the sample size is 25 and the standard deviation is 4. Plugging these values into the formula, we get:

Sum of squared deviations =\((25 - 1) * 4^2\) = 24 * 16= 384

Therefore, the sum of the squared deviations from the sample mean is 384. This value represents the total variability of the sample observations around the mean, providing insight into the dispersion of the data points.

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The surface area of the larger pyramid is 16 times the surface area of the smaller pyramid.

To compare the surface areas of the two square pyramids, we first need to find the surface area of each pyramid. The surface area of a square pyramid is given by the formula SA = \(L^2\) + 2L√(\(L^2\)/4 + \(H^2\)).

Where,

L is the length of one side of the base and

H is the height of the pyramid.
For the larger pyramid, L = 10 inches and H = 5 inches. Plugging these values into the formula, we get:
SA = \(10^2\) + 2(10)√(\(10^2\)/4 + \(5^2\))
SA = 100 + 100√26
SA ≈ 272.94 square inches
For the smaller pyramid,

L = 2.5 inches and

H = 5 inches.

Plugging these values into the formula, we get:
SA = \(2.5^2\) + 2(2.5)√(\(2.5^2\)/4 + \(5^2\))
SA = 6.25 + 12.5√6
SA ≈ 41.23 square inches
Now we can compare the surface areas by dividing the surface area of the larger pyramid by the surface area of the smaller pyramid:
SA(larger) / SA(smaller) = 272.94 / 41.23
SA(larger) / SA(smaller) ≈ 6.62
Therefore, the surface area of the larger pyramid is approximately 6.62 times the surface area of the smaller pyramid.

In other words, the larger pyramid has a much larger surface area than the smaller pyramid.

This makes sense because the larger pyramid has a much larger base and height, which results in a much larger overall volume and surface area.

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Answer:

12 inches

Step-by-step explanation:

In the given problem, solving systematically, sales should be $6,000 during a week that $1,200 was spent on advertising.

If sales vary directly with the amount of money spent on advertising, it means that the ratio of sales to advertising spending is constant. We can use this ratio to find out what sales should be during a week that $1200 was spent on advertising.

Let the ratio of sales to advertising spending be denoted by k. Then, we have:

k = sales / advertising spending

From the information given, we know that:

k = 10,000 / 2,000 = 5

This means that for every dollar spent on advertising, $5 in sales are generated.

To find out what sales should be during a week that $1200 was spent on advertising, we can use the ratio k:

sales = k * advertising spending

sales = 5 * 1200

sales = 6000

Therefore, sales should be $6,000 during a week that $1,200 was spent on advertising.

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\(\huge\textbf{Hey there!}\)

\(\mathsf{ASSUMING: }\\\mathsf{22\times90}\\\mathsf{= 90 \times 22}\\\mathsf{= 1,980}\)

\(\mathsf{ASSUMING: }\\\mathsf{2 + 2 + 3 + 3 + 3 + 3}\\\mathsf{= 2\times 2 + 3\times4}\\\mathsf{= 4 + 12}\\\mathsf{= 16}\)

\(\huge\textsf{Answer \#1. 1,980 }\huge\checkmark\\\\\\\huge\textsf{Answer \#2. 16 }\huge\checkmark\)

\(\huge\textbf{Good luck on your assignment \& enjoy}\\\huge\textbf{your day!}\)

~\(\frak{Amphitrite1040:)}\)

The possible numbers of ponds at the hatchery are 1, 2, 3, 5, 6, 10, 15, 30, 22,491, 44,982, 67,473, 112,455, 134,946, 224,910, 337,365, and 674,730.

To determine the number of possible ponds at the hatchery, we need to find the factors of 674,730. By finding the factors, we can determine the possible ways the fish can be divided evenly among the ponds. Here are the factors of 674,730:

1, 2, 3, 5, 6, 10, 15, 30, 22491, 44982, 67473, 112455, 134946, 224910, 337365, 674730

Therefore, the possible numbers of ponds at the hatchery are 1, 2, 3, 5, 6, 10, 15, 30, 22,491, 44,982, 67,473, 112,455, 134,946, 224,910, 337,365, and 674,730.

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Answer:

b

Step-by-step explanation:

Dilation reduces or enlarges the size

Translation moves the shape within the quadrant

Rotation about the origin changes the orientation and the location to another quadrant.

It's not hemisphere,It's a complete sphere .

Volume

Volume of each hemisphere.

Answer:

y ≤ 1/3x - 4

Step-by-step explanation:

it could not be options 3 or 4 because the y-intercept is -4, not +4

I picked a point in the shaded area to see which inequality, the first or the second, would make it true; the point I used was (3, -4)

1st option:  y ≥ 1/3x - 4        Is this true? -4 ≥ 1/3(3)  No, -4 is not GE 1

2nd option: y ≤ 1/3x - 4        Is this true? -4 ≤ 1/3(3)  Yes, -4 is LE 1  

The general solution to the given system of differential equations is \((x(t), y(t)) = (C - 9, -5 + 5Ce^{5t})\), where C is an arbitrary constant.

To find the general solution of the given system of differential equations:

dx/dt = 9x - y

dy/dt = 5x + 5y

Solve these equations simultaneously.

Step 1: Solve the first equation, dx/dt = 9x - y.

To do this,  rearrange the equation as follows:

dx/dt + y = 9x

This is a first-order linear ordinary differential equation. Solve it using an integrating factor. The integrating factor is given by \(e^{\int1 \,dt}= e^t\).

Multiply both sides of the equation by \(e^t\):

\(e^{t}dx/dt + e^t y = 9x e^t\)

Now, notice that the left side is the derivative of the product \(e^t\) x with respect to t:

d/dt \((e^t x)\) = 9x \(e^t\)

Integrating both sides with respect to t:

\(\int{d/dt (e^t x)}\, dt = \int{9x e^t}\, dt\)

\(e^t x = 9 \int{x e^t}\, dt\)

integrating by parts.

\(e^t x = 9 (x e^t - \int{ e^t}\, dx\)

\(e^t x = 9x e^t - 9 \int{e^t}\, dx\)

\(e^t x + 9 \int{ e^t}\, dx = 9x e^t\)

\(e^t x + 9 e^t = C e^t\)  (where C is the constant of integration)

\(x + 9 = C\)

\(x = C - 9\)

Step 2: Solve the second equation,\(dy/dt = 5x + 5y\).

This equation is separable. Rearrange it as:

\(dy/dt - 5y = 5x\)

Multiply both sides by \(e^{(-5t)}\):\(e^{-5t} dy/dt - 5e^{-5t} y = 5x e^{-5t}\)

Again, notice that the left side is the derivative of the product \(e^{(-5t)}y\) with respect to t:

\(d/dt (e^{(-5t)} y)= 5x e^{-5t}\)

Integrating both sides with respect to t:

\(\int{ d/dt (e^{(-5t)} y) dt = ∫ 5x e^{(-5t)} dt\)

\(e^{(-5t)} y = 5 \intx e^{(-5t)} \,dt\)

Adding zero for symmetry

\(e^{-5t} y = 5 (\int x e^{-5t} \,dt + \int 0\, dt)\)

\(e^{-5t} y = 5 (\int x e^{-5t}\, dt + C)\)

\(e^{-5t} y = 5 (\int x e^{-5t}\, dt) + 5C\)

Using substitution: u = -5t, du = -5dt

\(e^{-5t} y = 5 (-\int e^{-5t} \,dx) + 5C\)

\(e^{-5t} y = -5 \int e^u \,dx + 5C\)

\(e^{-5t} y = -5e^u + 5C\)

\(e^{-5t} y = -5e^{-5t} + 5C\)

\(y = -5 + 5Ce^{5t}\)

Combining the results from Step 1 and Step 2, we have:

\(x(t) = C - 9\)

\(y(t) = -5 + 5Ce^{5t}\)

Therefore, the general solution to the given system of differential equations is \((x(t), y(t)) = (C - 9, -5 + 5Ce^{5t})\), where C is an arbitrary constant.

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Answer:

ans below

Step-by-step explanation:

your gonna be 13

Answer:

13

Step-by-step explanation:

please mark this answer as brainlest

Answer:

Standard Deviation

Step-by-step explanation:

A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.

The chance that the hospital will run out of sleeping pills on any given day is 0.5000 (or 0.5000 with four decimal places).

To calculate the chance that the hospital will run out of sleeping pills on any given day, we can use the normal distribution and Z-score.

First, let's calculate the Z-score using the formula:

Z = (X - μ) / σ

Where:

X = consumption rate per day (1,155 pills)

μ = average consumption rate per day (1,155 pills)

σ = standard deviation (81 pills)

Z = (1,155 - 1,155) / 81

Z = 0

Now, we need to find the probability associated with this Z-score. However, since the demand for sleeping pills can be considered continuous and not discrete, we need to calculate the area under the curve from negative infinity up to the Z-score. This represents the probability of not running out of sleeping pills.

We discover that the region to the left of a Z-score of 0 is 0.5000 using a basic normal distribution table or statistical software.

To find the probability of running out of sleeping pills, we subtract this probability from 1:

Probability of running out of sleeping pills = 1 - 0.5000

Probability of running out of sleeping pills = 0.5000

Therefore, on any given day, the hospital has a 0.5000 (or 0.5000 with four decimal places) chance of running out of sleeping tablets.

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The cost of 15 pens in INR, considering the given exchange rate, is 2250 INR which is obtained by using arithmetic operations.

Sunday bought 10 pens at a cost of $5 each. To find the cost of 15 pens in INR, considering the exchange rate of $1 being equal to 30 INR, the total cost can be calculated by multiplying the cost per pen by the number of pens and then converting it to INR.

The cost of a single pen is given as $5. To calculate the cost of 15 pens, we can multiply the cost per pen by the number of pens:

Cost of 15 pens = Cost per pen * Number of pens

Cost of 15 pens = $5 * 15 = $75

To convert the cost from dollars to INR, we use the given exchange rate of $1 being equal to 30 INR. Thus, we can multiply the cost in dollars by the conversion rate:

Cost in INR = Cost in dollars * Conversion rate

Cost in INR = $75 * 30 = 2250 INR

Therefore, the cost of 15 pens is 2250 INR.

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The complete question is:

Sunday bought 10 pens, and a pen cost $5 dollars. What is the cost of 15 pens in INR, if $1 is 30 INR?

Step-by-step explanation:

Simple

Total no of marbles = 6 + 4 + 8 = 18

Probability of red marble = 6 / 18 = 1/ 3

Answer:

The two scores are statistically the same

Step-by-step explanation:

The value of r is: r = 18 / (3 - 4 · cos θ) for the given eccentricity 4/3, vertices (3, π), (21, 2π).

The given conic has a focus at the origin and the following data:

eccentricity 4/3, vertices (3, π), (21, 2π).

The equation of the conic can be found by using the formula

r = e · d / (1 - e · cos θ),

where r is the distance from the origin to the point on the curve,

e is the eccentricity,

d is the distance from the origin to the focus, and

θ is the angle the line from the focus to the point on the curve makes with the x-axis.

Using the given data, we can find the distance from the origin to the focus:

d = 3 / (2/3)

= 9/2

Now we can use the formula to find the polar equation of the ellipse:

r = e · d / (1 - e · cos θ)

r = (4/3) · (9/2) / (1 - (4/3) · cos θ))

r = 6 / (1 - (4/3) · cos θ)

Multiplying numerator and denominator by 3, we get:

r = 18 / (3 - 4 · cos θ)

So, the polar equation of the conic is:

r = 18 / (3 - 4 · cos θ).

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Using PEMDAS rule , we can evaluate the provide expression . The required result is thirteen that's the value is L= 13.

PEMDAS order of operations: The order of operations is a rule that tells the correct sequence of steps for evaluating a given mathematical expression. We can remember the order using "PEMDAS" where

P --> Parentheses

E --> Exponents (2⁵ is 2 raised to the power of 5)

M------> Multiplication and

D---->Division (from left to right)

A--->Addition

S--->Subtraction (from left to right).

We have given that

3/4 ( 2³ + 4² )

let given expresion equal to L i.e

L = 3/4 ( 2³ + 4² )

Now, we have to solve it

Using "PEMDAS" rule ,

L = 3/4 ( 2³ + 4²)

= 3/4 ( 8 + 4²)

= 3/4 ( 8 + 16 )

= 3/4 ( 24)

= 3/4 ×24

= 24×3/4

= 72/4

L = 1 3

Hence, the given expresion is equal to 13 .

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The assertion of presentation confirms that the components of the financial statements are shown appropriately.

The management is also responsible for ensuring that the statement is adequately classified, described, and disclosed. Valuation: Valuation assertion affirms that the amounts of assets, liabilities, and equity have been appropriately recorded and stated at the correct amount. Buildings have been valued at $35,000,000 while the non-current liabilities amounted to $49,500,000. The auditor should evaluate if the valuation is accurate and if any impairment has been recognized.

The auditor must ensure that the investment in question exists and that the company owns it. The investment must be in the name of Wyndham Limited and not under another person or company. Ownership and valuation: The auditor should verify that the company has control over the investment and that it's valued correctly. If the investment is accounted for using fair value, the auditor must ensure that the method used is appropriate and consistent with the company's accounting policy. The auditor should also verify that the company's control over the investment justifies the accounting treatment used. The valuation of the investment should be at the correct amount and the disclosures must comply with the relevant accounting standard or IFRS.

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Answer:

3/4 +3/4 =

as a mixed number=

Answer:

Please type or attach a question to be answered. Currently, all you have is as a question is the statement "Breyelle is planning on purchasing a new sports utility vehicle."

As per the given measurement , the area of the paper on the bottom of the cage 2736 square inches.

The formula to calculate the volume of the prism is written as

V = l x w x h

Where l refers the length , w refers the width and h refers the height.

Here we have know that the height of 24 inches and a volume of 6,480 cubic inches.

Now we have to apply the values on the formula in order to get the width of the cage,

=> 6480 = w x 24 x 12

=> w = 6480/288

=> W = 22.5

Therefore, the area of the bottom of the cage is calculated as,

=> A = 2[(24 x 22.5) + (24 x 12) + (22.5 x 24)]

When we simplify this one then we get the value of the area as,

=> A = 2736 square inches.

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The area of the pyramid is 517.28 m²

To calculate the surface area of a triangular pyramid, we need to find the area of each face and sum them up.

The base of the pyramid is a triangle, so its area can be calculated using the formula: A = 1/2 x base area x height.

In this case, the base side is 12.2 m and the height is 10.6 m.

Therefore, the area of the base is:

Area = 1/2 x 10.6 x 12.2 = 64.66 m²

So, the area of the pyramid =

A = 1/2 x 64.66 x 16

A = 517.28 m²

Hence the area of the pyramid is 517.28 m²

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Answer:

To get the radius, divide the diameter by 2.

Answer:

to get the radius you have to divided the diameter by 2

Step-by-step explanation:

Using the function rule, the value of g(r +2)  is r-2

Given the function rule g(k) = k-4.

Then g(r + 2)  can be found by replacing k with r+2 in the function g(k):

g(r+2) = r + 2 - 4

           = r - 2

Therefore, g(r+2) gives r - 2 when evaluated using the function rule.

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The reliability of two components in series is 0.996.

To find the reliability of the engine, we need all the two components to work. Each components has a reliability of 0.998, so to find the reliability of the engine we need to find the probability of all two components working.

Reliability is defined as the probability that a product, system, or service will perform its intended function adequately for a specified period of time, or will operate in a defined environment without failure.

We can find this probability multiplying all the ten reliabilities:

P = 0.998^2 = 0.996004

Rounding to three decimal places, we have P = 0.996

The reliability of the engine is 0.996.

Hence,

The reliability of two components in series is 0.996.

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