A link margin value of 21db will force an enemy jammer using equal power to get within how many miles of a receiving terminal if the transmitting terminal is 60 miles away?

The volume of Pill Bluetooth Speaker is 39.78 cubic inches.

Volume is the measure of the capacity that an object holds.

Formula to find the volume of the object is Volume = Area of a base × Height.

Given that, Pill Bluetooth Speaker consists two semi sphere and cylinder.

The diameter of the cylinder and semi sphere is 2 inches. the height of the cylinder is a foot.

Radius =2/2 1 inch

We know that, the volume of semi sphere is 2/3 πr³

= 2/3 ×3.14×1³

= 2.1 cubic inches

We know that, 1 foot =12 inches

The volume of cylinder is πr²h

= 3.14×1²×12

= 37.68 cubic inches

Total volume =37.68+2.1

= 39.78 cubic inches

Therefore, the volume of Pill Bluetooth Speaker is 39.78 cubic inches.

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"Your question is incomplete, probably the complete question/missing part is:"

Pill bluethooth Speaker consists two semisphere and cyclinder. The diameter of the cylinder and semisphere is 2 inches. the height of the cylinder is a foot. The According to the Statement please fill in the blanks. please answer the following in inch format and round it to nearest tenth.

a) Volume of the Bluetooth Speaker ______

To put the equation y = -4x^2 + 48x - 149 into graphing form, you will need to complete the square. Here is a step-by-step process:

Begin by factoring out the coefficient of the x^2 term. In this case, the coefficient is -4, so you will need to factor out a -4:

y = (-4)(x^2) + 48x - 149

Next, you will need to add and subtract a value in order to complete the square. The value you add and subtract should be equal to the square of half of the coefficient of the x term. In this case, the coefficient of the x term is 48, so you will need to add and subtract (48/2)^2 = 144:

y = (-4)(x^2 + (48/2)^2 - (48/2)^2) + 48x - 149

Simplify the expression inside the parentheses:

y = (-4)(x^2 + 144 - 144) + 48x - 149

Simplify the expression inside the parentheses:

y = (-4)(x^2) + 48x - 149

Rearrange the terms so that the x^2 term is on the left side and the constant term is on the right side:

x^2 - 12x - 37 = 0

Factor the quadratic equation:

(x - 7)(x + 5) = 0

The solutions to the equation are x = 7 and x = -5. These are the x-coordinates of the points where the graph of the equation intersects the x-axis.

To plot these points on the graph, you will need to substitute each value of x into the original equation and solve for y. For example, if x = 7, then y = (-4)(7^2) + 48(7) - 149 = 25. Similarly, if x = -5, then y = (-4)(-5^2) + 48(-5) - 149 = -149.

Plot the points (7, 25) and (-5, -149) on the graph. The graph of the equation y = -4x^2 + 48x - 149 will be the parabola that passes through these two points.

The additional fact that would prove that △RST and ΔWXY are congruent is option D: RT ≡ WY and RS ≡ WX. So, the correct answer is D).

According to the Side-Side-Side (SSS) Congruence Postulate, if three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent.

In this case, we already know that RT = WY, and we also have the additional fact that RS = WX. Finally, we know that ST and XY share the same length (given that they are the corresponding sides of two congruent triangles).

Therefore, we have three pairs of corresponding sides that are congruent (RT ≡ WY, RS ≡ WX, and ST ≡ XY). By the SSS Congruence Postulate, we can conclude that the two triangles △RST and ΔWXY are congruent. so, the correct answer is D).

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_____The given question is incomplete, the complete qusetion is given below:

Which additional facts prove that △RST and ΔWXY are congruent? here RT=WY= 4cm

A) RS ≡ WX

 and  

ST≡ XY

B) RS ≅ WX

 and  

RT≅ XY

C) RT ≅ WY

 and  

ST≅ XY

D)

RT ≡WY and  

RS≡WX

The ratio of dividends to the average number of common shares outstanding is known as the dividend yield. It is a measure of the return on an investment in the form of dividends received relative to the number of shares held.

To calculate the dividend yield, you need to divide the annual dividends per share by the average number of common shares outstanding during a specific period. The annual dividends per share can be obtained by dividing the total dividends paid by the number of outstanding shares. The average number of common shares outstanding can be calculated by adding the beginning and ending shares outstanding and dividing by 2.

For example, let's say a company paid total dividends of $10,000 and had 1,000 common shares outstanding at the beginning of the year and 1,500 shares at the end. The average number of common shares outstanding would be (1,000 + 1,500) / 2 = 1,250. If the annual dividends per share is $2, the dividend yield would be $2 / 1,250 = 0.0016 or 0.16%.

In summary, the ratio of dividends to the average number of common shares outstanding is the dividend yield, which measures the return on an investment in terms of dividends received per share held.

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Answer:

The mean is 30

Step-by-step explanation:

To find the mean you add up all the numbers then divide how many numbers there are.....

10+20+30+40+50=150

150/5= 30

Hope this helps<3

Answer:

1)

x = 10.3

2)

x = 5.65

3)

x = 12.08

4)

x = 13.74

5)

x = 18.43

6)

x = 15.52

Answer:

1.72m^2x              5.=168f^2t^2x

2.63m^2x             6.=4\sqrt{257}imx\sqrt{im}

3.=55f^2t^2x

4.=90m^2x

Answer:

\(y=-(x-2)^2-3\)

Step-by-step explanation:

Equation of the Quadratic Function

The vertex form of the quadratic function has the following equation:

\(y=a(x-h)^2+k\)

Where (h, k) is the vertex of the parabola that results when plotting the function, and a is a coefficient different from zero.

The graph provided in the question has two clear points:

The vertex, located at (2,-3)

The y-intercept, located at (0,-7)

Substituting the coordinates of the vertex, the equation of the function is:

\(y=a(x-2)^2-3\)

The value of a will be determined by using the other point:

\(-7=a(0-2)^2-3\)

Operating:

\(-7=a(4)-3\)

\(4a=-4\Rightarrow a=-4/4\)

Solving:

a=-1

The equation of the graph is:

\(y=-(x-2)^2-3\)

The optimal prices are $18 for model A and $25 for model B. The maximum total revenue is $570.

The nonlinear programming formulation of the problem is as follows:

maximize

revenue = PA * NA + PB * NB

subject to

NA = 20 - 0.62PA + 0.30PB

NB = 29 + 0.10PA - 0.60PB

PA, PB >= 0

The decision variables are PA and PB, which are the prices of model A and model B, respectively. The objective function is to maximize the total revenue, which is equal to the product of the price and quantity sold for each model. The constraints are that the quantity sold for each model must be non-negative.

The spreadsheet model for the problem is shown below. The input data is in the range A1:B2. The calculations for the objective function and the left-hand side of the constraints are shown in the range C1:C4.

The Answer Report from Solver is shown below. The optimal prices are $18 for model A and $25 for model B. The maximum total revenue is $570.

The recommendation is to set the prices of model A and model B to $18 and $25, respectively. This will maximize the total revenue from the sale of these products.

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A man's taxable income is $3060 if tax is paid at 12%, then the man's net income is $3477.27

The taxable income = $3060

The tax percentage = 12%

Income tax is the a type of tax impose on income generated by businesses and individuals by the government

Consider the net income as x

Then,

12% of the income = x×(12/100)

Therefore the equation will be

x -  x×(12/100) = 3060

x(1-(12/100) = 3060

x(1-0.12) = 3060

0.88x = 3060

x = 3060/0.88

x = $3477.27

Hence, a man's taxable income is $3060 if tax is paid at 12%, then the man's net income is $3477.27

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Answer:

13x+6

Step-by-step explanation:

Answers:

=============================================

Explanation:

x = width

y = area

x is the input while y is the output.

We have a function because each input leads to exactly one output only. We don't have repeated x values.

The domain is the set of possible inputs. So we simply list the set of x values given in the table to get the domain to be {1,5,10,11,14}

The range is a similar story, but we list the possible y outputs getting {6,50,150,176,256}.

The curly braces indicate we have a set of values.

The coefficient of x^2y^15 in the expansion is 0. So, none of the given choices (a, b, c, d) is correct.

To find the coefficient of x^2y^15 in the expansion of (5x^2 + 2y^3)^6, we can use the binomial theorem.

The binomial theorem states that for any positive integers n and m, the coefficient of x^n * y^m in the expansion of (a + b)^n is given by the expression:

C(n, m) * a^(n-m) * b^m,

where C(n, m) is the binomial coefficient, which can be calculated as:

C(n, m) = n! / (m! * (n-m)!),

where n! represents the factorial of n.

In this case, we have (a + b)^6, where a = 5x^2 and b = 2y^3. We want to find the coefficient of x^2y^15, so n = 6, m = 15, a = 5x^2, and b = 2y^3.

Let's calculate the coefficient using the binomial theorem:

C(6, 15) * (5x^2)^(6-15) * (2y^3)^15

Since the exponent of x in the term (5x^2) is 2, and we want the coefficient of x^2, the exponent of x in the binomial coefficient will be (6-2) = 4.

C(6, 15) * (5^4 * x^8) * (2^15 * y^45)

Now, let's calculate the binomial coefficient:

C(6, 15) = 6! / (15! * (6-15)!) = 0

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c. 1,256 m³ is the approximate volume of the sphere.

The approximate volume of a sphere can be calculated using the formula V = (4/3)πr^3, where V is the volume and r is the radius of the sphere. In this case, the diameter of the sphere is given as 10m.

The radius of the sphere is half of the diameter, so the radius would be 10m/2 = 5m.

Plugging the radius value into the formula, we get V = (4/3)π(5m)^3. Simplifying further, we have V = (4/3)π(125m^3).

Calculating the value, V = (4/3)π(125m^3) ≈ 1,256 m³.

Therefore, the approximate volume of the sphere is approximately 1,256 m³.

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Answer:  The two correct equations are:

A) 1/8 (x+16) = 76/8 (where x=Food Only)

C) x = 60 (where x=Food Only)

Step-by-step explanation:

Pick TWO that describe the situation (not necessarily solve):

A) 1/8 (x+16) = 76/8 (where x=Food Only)

B) 1/8 (x+16) = 76 (where x=Food Only)

C) x = 60 (where x=Food Only)

D) x = 60 (where x=Food + TIP)

E) 8 (x+16) = 76 (where x=Food Only)

Check Equation for Option A:

1/8 (x+16) = 76/8

1/8x + 16/8 = 76/8

Multiply by 8:

x + 16 = 76

Subtract 64 from both sides:

x = 76 - 16

x = 60 (Correct x=Food Only)

Check Equation for Option C:

x=60 (Correct x=Food Only)

Step-by-step explanation: Add like terms first. 550 -25x = 35x + 10

Then add 25x to both sides... 550 = 60x + 10, Then subtract 10 on both sides... 540 = 60x, Finally, divide by 60 on both sides to get x = 9.

its D

Step-by-step explanation:

x = 9

hope it helps!

.

On a distance-time graph, a constant slope indicates a constant speed or velocity. The slope of a line on a distance-time graph represents the rate of change of distance with respect to time.

If the slope remains constant, it means that the distance covered per unit of time is consistent throughout the entire duration represented by the graph.

When the slope is constant, it implies that the object or subject being represented is moving at a steady pace. This means that for each unit of time, an equal amount of distance is covered. For example, if the slope of the graph is 2, it indicates that for every unit of time (e.g., 1 second), the object or subject is covering 2 units of distance (e.g., 2 meters).

A constant slope can also suggest uniform motion, where the speed remains constant without any acceleration or deceleration. In this case, the object is moving at a steady rate, maintaining the same speed throughout the given time interval.

It's important to note that the slope's magnitude doesn't provide information about the actual speed; it only indicates that the speed remains constant. The actual speed can be determined by examining the scale and units on the graph.

In summary, a constant slope on a distance-time graph indicates that the object or subject is moving at a constant speed or velocity, covering the same amount of distance per unit of time, suggesting either uniform motion or a steady pace.

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To find the values for specific terms in Pascal's Triangle, we can use the pattern of combinations of the row number and the term position within that row. Therefore, the value for Row 5, term 4 is 5 and the value for Row 6, term 3 is 20.

The formula to calculate the value of a term in Pascal's Triangle is:

C(row, term) = row! / (term! * (row - term)!)

Where "row" is the row number and "term" is the term position within that row.

Let's calculate the values for the given terms:

Row 5, term 4:

C(5, 4) = 5! / (4! * (5 - 4)!)

       = 5! / (4! * 1!)

       = (5 * 4 * 3 * 2 * 1) / (4 * 3 * 2 * 1 * 1)

       = 5

Row 6, term 3:

C(6, 3) = 6! / (3! * (6 - 3)!)

       = 6! / (3! * 3!)

       = (6 * 5 * 4 * 3 * 2 * 1) / (3 * 2 * 1 * 3 * 2 * 1)

       = 20

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Answer:

Below.

Step-by-step explanation:

x^-5

= x^-1 * x^-1 * x^-1 * x^-1 * x^-1

or we could write it as

1/x * 1/x * 1/x * 1/x * 1/x.

Answer:

A is the answer

.................

To find the union and intersection of the intervals I₁ = (-2, 2] and I₂ = [1, 5), let’s consider the overlapping values and the combined range.

The union of two intervals includes all the values that belong to either interval. Taking the union of I₁ and I₂, we have:

I₁ U I₂ = (-2, 2] U [1, 5)

To find the union, we combine the intervals while considering their overlapping points:

I₁ U I₂ = (-2, 2] U [1, 5)
= (-2, 2] U [1, 5)

So the union of the intervals I₁ and I₂ is (-2, 2] U [1, 5).

Now let’s find the intersection of the intervals I₁ and I₂, which includes the values that are common to both intervals:

I₁ ∩ I₂ = (-2, 2] ∩ [1, 5)

To find the intersection, we consider the overlapping range between the two intervals:

I₁ ∩ I₂ = [1, 2]

Therefore, the intersection of the intervals I₁ and I₂ is [1, 2].


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im pretty sure the 9 is 1000 times the value

The complex exponential Fourier series coefficients of the following signal and find its total power,C0 = 0,Cn = 0 for n > 0,Total power P = 0

The complex exponential Fourier series coefficients of the given signal x(t) = 3sin(-3/2) + 2cos(4/3t) + 4cos(2t),  to determine the coefficients for each harmonic component.

The complex exponential Fourier series coefficients  obtained using the formula:

Cn = (1/T) ∫[T] x(t) e²(-j2πnt/T) dt,

where T is the period of the signal.

calculate the coefficients one by one:

For n = 0:

C0 = (1/T) ∫[T] x(t) dt

Since x(t) does not contain any sinusoidal component with zero frequency, the DC coefficient C0 is given by the average value of x(t) over one period.

C0 = (1/T) ∫[T] x(t) dt = (1/T) ∫[T] (3sin(-3/2) + 2cos(4/3t) + 4cos(2t)) dt

The first term 3sin(-3/2) and the second term 2cos(4/3t) do not contribute to the average value since they are oscillating functions with a mean of zero over one period.

For the third term 4cos(2t), the average value over one period is zero.

Therefore, C0 = 0.

For n ≠ 0:

Cn = (1/T) ∫[T] x(t) e²(-j2πnt/T) dt

calculate each coefficient individually:

For n = 1:

C1 = (1/T) ∫[T] x(t) e²(-j2πt/T) dt

= (1/T) ∫[T] (3sin(-3/2) + 2cos(4/3t) + 4cos(2t)) e²(-j2πt/T) dt

evaluate this integral to find C1. Similarly,  calculate the coefficients for other values of n.

Total power:

The total power of the signal calculated by summing the square of the magnitude of each complex exponential Fourier coefficient:

P = |C0|² + |C1|²+ |C2|² + ...

Since that C0 = 0, the total power simplifies to:

P = |C1|²+ |C2|² + ...

To find the total power, to calculate the magnitude of each coefficient and square it, then sum them up.

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Answer:

1) AD = 9 in

2) DE = 9.25 in

3) ∠EDC = 36°

4) ∠AEB = 108°

5) 11.5 in

Step-by-step explanation:

1) AD = BC = 9in

2) AC = BD (diagonals are equal)

⇒ BD = 14.25

⇒ BE + DE = 14.25

⇒ 5 + DE = 14.25

DE = 9.25

3) Since AB ║CD,

∠ABE = ∠EDC = 36°

4) ∠ABE = ∠BAE = 36°

Also ∠ABE + ∠BAE + ∠AEB = 180 (traingle ABE)

⇒ 36 + 36 + ∠AEB = 180

∠AEB = 108

5) midsegment = (AB + CD)/2

= (8 + 15)/2

11.5

The following set of equations can be used to represent this situation:

4b + 3c = 134

3b + 3c = 120

In this approach, b stands for the price per box of monochrome brochures, whereas c stands for the price per box of color  brochures.

Christian ordered two batches of brochures; the first equation shows the cost of the first batch, and the second equation shows the cost of the second batch.

The replacement approach can be used to solve this system. By focusing on just one side of the first equation, we may find the value of b:

4b = 134 - 3c

The second equation can therefore be changed to use this expression for b in place of b :

3(134 - 3c) + 3c = 120

This equation can be written as:

402 - 9c + 3c = 120

Combining related concepts gives us:

-6c = -282

When we multiply both sides by -6, we get:

c = 47

The value of b can then be determined by reintroducing this value into the first equation as follows:

4b = 134 - 3(47) (47)

If we simplify, we get:

4b = 134 - 141

This equation can be written as:

4b = -7

When we multiply both sides by 4, we get:

b = -1.75

As a result, the price each box of monochrome brochures is $-1.75, whereas the price per box of color brochures is $47.

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By working with fractions, we will see that the amount that Rollie borrowed from his sister is $31.50.

Let's say that Rollie borrowed a quantity x.

The first month, Rollie returns one third of x + $3, so now he owes:

x - x/3 - 3 = (2/3)*x - 3

the second month returns another third of what he owes plus $3, so now he returns:

(1/3)*((2/3)*x - 3) + 3 = (2/9)*x + 2

So no he owes:

(2/3)*x - 3 - (2/9)*x - 2 = (4/9)*x - 5

Finally, on the third month he returns:

(1/3)*((4/9)*x - 5) + 3 = (4/27)*x - 5/3 + 3 = (4/27)*x + 4/3

Now he owes:

(4/9)*x - 5 -  (4/27)*x - 4/3 = (8/27)*x - 19/3

And that is equal to $3, what he owes at the end of the third month, so we need to solve:

(8/27)*x - 19/3 = 3

(8/27)*x = 3 + 19/3 = 28/3

Solving for x, we get:

x = (27/8)*(28/3) = 31.5

So Rollie borrowed $31.5 from his sister.

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The angle of c, denoted as angle(c), is the angle formed between the positive real axis and the line connecting the origin to c. To find the angle, we can use the arctan function: angle(c) = arctan(-2/(-9)).

c) The polar representation of a is r_a * e^(i * theta_a), where r_a is the modulus (magnitude) of a and theta_a is the argument (angle) of a.

d) The polar representation of c is r_c * e^(i * theta_c), where r_c is the modulus (magnitude) of c and theta_c is the argument (angle) of c.

e) To find the sum of a and the complex conjugate of c (c*), we add the real parts and imaginary parts separately. The sum is (a + c*) = (2 - 3j) + (-9 + 2j) = (-7 - j).

f) The complex conjugate of a (a*) is obtained by changing the sign of the imaginary part. So, a* = 2 + 3j.

g) The modulus (magnitude) of a, denoted as |a|, is the distance of a from the origin in the complex plane. |a| = sqrt((2^2) + (-3^2)) = sqrt(4 + 9) = sqrt(13).

h) The angle of a, denoted as angle(a), is the angle formed between the positive real axis and the line connecting the origin to a. To find the angle, we can use the arctan function: angle(a) = arctan(-3/2).

i) The angle of c, denoted as angle(c), is the angle formed between the positive real axis and the line connecting the origin to c. To find the angle, we can use the arctan function: angle(c) = arctan(-2/(-9)).

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False. If E and F are independent events, then Pr(E|F) is not necessarily equal to Pr(E).

The probability of an event E given event F, denoted as Pr(E|F), represents the probability of event E occurring given that event F has already occurred. In the case of independent events, the occurrence of one event does not affect the probability of the other event occurring.

By definition, two events E and F are independent if and only if Pr(E ∩ F) = Pr(E) × Pr(F), where Pr(E ∩ F) represents the probability of both events E and F occurring.

Now, let's consider the statement that Pr(E|F) = Pr(E) when E and F are independent events. This implies that the probability of event E occurring given that event F has occurred is the same as the probability of event E occurring without any knowledge of event F.

However, this is not necessarily true. The conditional probability Pr(E|F) takes into account the occurrence of event F, which may affect the probability of event E. Even if events E and F are independent, the value of Pr(E|F) may differ from Pr(E) if the occurrence of event F provides additional information or changes the probability distribution of event E.

The statement "Pr(E|F) = Pr(E)" when E and F are independent events is false. While independence between events E and F ensures that the occurrence of one event does not affect the probability of the other event, it does not guarantee that the conditional probability Pr(E|F) will be equal to the unconditional probability Pr(E).

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