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If we denote the probability of hitting a bullseye on a dartboard with radius 12 inches as a function of the size of the bullseye, we can refer to this function as PS.

The function PS represents the probability of hitting the bullseye and is dependent on the size of the bullseye. The larger the bullseye, the higher the probability of hitting it, and vice versa. By adjusting the size of the bullseye, we can determine the corresponding probability of hitting it using the function PS.

It's important to note that without specific information about the relationship between the bullseye size and the probability, it's not possible to provide a specific mathematical expression or further details about the PS function. The function would need to be defined or provided to calculate the probability accurately.

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Answer:

Step-by-step explanation:

Complex numbers are represented on a cartesian coordinate system with a horizontal real axis and a vertical imaginary axis.

Any number that can be expressed as a+bi, where i is the imaginary unit and a and b are the real numbers, is a complex number. The number is made up of two parts: real part (a) and imaginary part (b).

Just like we can use the number line to visualize a set of real numbers, we can use the complex plane to visualize a set of complex numbers. The complex plane consists of two number lines intersecting at a right angle at the point (0,0)(0,0)left parenthesis, 0, comma, 0, right parenthesis.

The horizontal number line (what we know as the xxx-axis on a Cartesian plane) is the real axis. The imaginary axis is the vertical number line (the yyy-axis on a Cartesian plane).A point in the complex plane can represent every complex number.

For example, consider the number 3-5i3−5i3, minus 5, i. This number, also expressed as 3+(-5)i, has a real part of 3 and imaginary part of -5. The location of this number on the complex plane is the point that corresponds to 3 on the real axis and -5 on the imaginary axis.

So the number 3+(-5) corresponds with the point (3,-5). In the general complex number, a+bi corresponds to the complex plane's point(a,b).

Hence, complex numbers are represented on a cartesian coordinate system with a real horizontal axis and an imaginary vertical axis.

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Answer:

25% off

Step-by-step explanation:

Answer It’s Save 20$, cause if u buy Something More then 88$ U could 20% off which the new price will be 68$ (to make sure Take 88 from 20 Which will prob be 68) but 68$ would be the new price if Lacey Picked the “Save $20 one purchased Of $75 or more”

Step-by-step explanation hope this helps

Answer:

f = - \(\frac{15}{4}\)

Step-by-step explanation:

Given

f + \(\frac{1}{4}\) = - \(\frac{7}{2}\)

Multiply through by 4 ( the LCM of 2 and 4 ) to clear the fractions

4f + 1 = - 14 ( subtract 1 from both sides )

4f = - 15 ( divide both sides by 4 )

f = - \(\frac{15}{4}\)

Kruskal's kingdom is said to be connected in a cyclic manner. If n≥3 farmhouses, there are different ways in which these farmhouses can be connected. In this case, Kruskal's kingdom is connected in a cyclic manner.

This means that the farmhouse circuit can be made up of cycles that pass through all the farms.Suppose we take n=3. In this case, there are two ways in which the farmhouses can be connected. The first way is to connect all the three farms together. This forms a triangle with the farms being at each corner of the triangle. The second way is to connect the farmhouses in a straight line.

The farms are then in a line from the first farm to the third farm.The number of possible ways in which the farmhouses can be connected in a cyclic manner increases as n increases. If there are n farmhouses, then there are (n-1)!/2 different ways in which the farmhouses can be connected. Therefore, there are (n-1)!/2 different possible ways in which Kruskal's kingdom can be connected.

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The difference between consecutive first and second integers is increased by 1 thus the next number 19 - x = 5 → x = 14.

A pattern is a specific arrangement of numbers or any term which will follow a specific code or hint.

For example 2,4,6,8 in this, the difference between any two-term is only 2 and this will be its specific pattern.

As per the given pattern,29, 28, 26, 23, 19

29 - 28 = 1

28 - 26 = 2

26 - 23 = 3

23 - 19 = 4

Since the difference is increasing by 1

So the difference of 19 and the next number (x) will be 4 + 1 = 5.

19 - x = 5

x = 14

Hence "The difference between consecutive first and second integers is increased by 1 thus the next number 19 - x = 5 → x = 14".

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Answer:

B. x=3/k

Step-by-step explanation:

5kx+6=7kx

first you can simplify the kx terms

6=7kx-5kx

6=2kx

now get x by itself

6/2k=x

3/k=x

a) The revenue R can be expressed as \(R(x) = (60x - 3x^2) \\\) b) If 6 units are sold, the revenue is $168. c) The quantity x that maximizes revenue is 10 units, and the maximum revenue is $300. d) To maximize revenue, the company should charge $10. e) To earn at least $192 in revenue, the company should charge $8.

a) To express the revenue R as a function of x, we can use the formula R(x) = p * x. Substituting the given demand equation x = -3p + 60, we get R(x) = (-3p + 60) * x. Simplifying this expression further, we have R(x) = (60x - 3x^2).

b) If 6 units are sold, we can substitute x = 6 into the revenue function R(x) to find the revenue. \(R(6) = (60 * 6 - 3 * 6^2)\) = $168.

c) To find the quantity x that maximizes revenue, we need to find the vertex of the quadratic function \(R(x) = 60x - 3x^2\). The x-coordinate of the vertex can be found using the formula x = -b / (2a), where a = -3 and b = 60. Thus, x = -60 / (2 * (-3)) = 10. So, the quantity x that maximizes revenue is 10 units. Substituting x = 10 into the revenue function, we find the maximum revenue\(R(10) = (60 * 10 - 3 * 10^2)\) = $300.

d) To maximize revenue, we can determine the price the company should charge. From the demand equation, when x = 10, we have 10 = -3p + 60. Solving for p, we get p = 10. Therefore, the price the company should charge to maximize revenue is $10.

e) To earn at least $192 in revenue, we need to find the price that satisfies R(x) ≥ 192. Substituting \(R(x) = (60x - 3x^2)\)  into the inequality, we have \(60x - 3x^2\) ≥ 192. Rearranging the terms, we get \(3x^2 - 60x + 192\) ≤ 0. Solving this quadratic inequality, we find that x must lie between 6 and 32. As the price p is related to x through the demand equation, we can calculate the corresponding price range. When x = 6, we have p = 18, and when x = 32, we have p = 4. Therefore, the price the company should charge to earn at least $192 in revenue is between $4 and $18, inclusive.

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Answer:

7+2/8+5

Step-by-step explanation:

Answer: No

Step-by-step explanation:

The domain consists of the numbers 6, 5, 6, 2

6 is repeated twice

The criteria for a function is that there are no repeating numbers in the domain

This does not follow the criteria, therefore this is not a function

Answer-No

Temperature change for water due to sheer drop is approximately 0.7 °C when Multnomah Falls in the Columbia River has a sheer drop of 543 ft.

Given that,

Multnomah Falls in the Columbia River Gorge has a sheer drop of 543 feet.

We have to find estimate the water temperature change in °F caused by this drop using the steady flow energy equation.

We know that,

Sheer drop is z₁ - z₂ = 543 feet

We required to calculate temperature change that is ∆T caused by this drop using steady flow energy equation says SFEE.

Assuming

Adiabatic flow i.e. Q =0

No work done, i.e. W=0

Neglecting kinetic energies.

Steady flow energy equation is a mathematical expression that states that for a steady flow the net energy at the inlet of control volume is equal to the net energy at the exit of of the control volume.

SFEE is given as,

h₁ + \(\frac{(v_1)^2}{2}\) + gz₁ + Q = h₂ + \(\frac{(v_2)^2}{2}\) + gz₂ + Q -------> equation(1)

Where, h₁ and h₂ enthalpies at inlet and exit of control volume,

v₁ and v₂ are velocities at inlet and exit of control volume (kinetic energies),

z₁ and z₂ are elevation at inlet and exit of control volume (potential energies),  

Q is energy flow into the control volume and

W is work done by control volume.

Neglecting change in kinetic energies ; Q=0; W=0

Then equation (1) will be,

h₁ - h₂ = g(z₂ - z₁)

Cp(ΔT) =  g(z₂ - z₁)

ΔT = \(\frac{g(z_2-z_1)}{Cp}\)

Here,

Value of g is 32.2 feet per second square and value of Cp for water is 25100 feet

Substituting all values we get,

ΔT = \(\frac{32.2(543)}{25000}\)

ΔT = 0.69°C

ΔT = 0.7°C (approximately)

Therefore, Temperature change for water due to sheer drop is approximately 0.7 °C.

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Confidence interval refers to a statistical measure that helps quantify the amount of uncertainty present in a sample's estimate of a population parameter.

This measure expresses the degree of confidence in the estimated interval that can be calculated from a given set of data. In this scenario, the task is to build a 95% confidence interval for the regression line's slope. The regression analysis output has already been given. According to the output given, the estimated regression model is:y = 25,000 + 9,000 x, where x represents the number of miles the car has been driven and y represents the car's selling price.

The formula to calculate the 95% confidence interval for the slope is:Slope ± t · SE, where Slope is the point estimate for the slope, t represents the critical t-value for a given level of confidence and degrees of freedom, and SE represents the standard error of the estimate. The value of t can be calculated using the degrees of freedom and a t-table. Here, the number of pairs in the sample size is 20, and the model uses two parameters.

Therefore, the degrees of freedom would be 20 - 2 = 18.The critical t-value for a 95% confidence interval and 18 degrees of freedom is 2.101. Using the formula given above, we can calculate the 95% confidence interval for the slope as follows:Slope ± t · SE= 9000 ± (2.101)(700) ≈ 9000 ± 1,467.7 = [7,532.3, 10,467.7]Therefore, the 95% confidence interval for the slope is [7,532.3, 10,467.7]. This means that we are 95% confident that the true value of the slope for this model falls within the interval [7,532.3, 10,467.7].

It implies that the price of the car increases by $7,532.3 to $10,467.7 for each mile driven by the car. In conclusion, a 95% confidence interval has been calculated for the regression line's slope, which indicates that the actual slope of the model lies between the range [7,532.3, 10,467.7].

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What he discovered was a way to measure the volume of a solid, for when he entered the bath, the water rose, and the difference between heights was the volume.

The next he did was fill a bucket with water, measuring the height without the crowns, and the change in height when he deposited the crowns.

This difference is the volume. If the difference between those was not equal, then those were not made of the same materials.

Answer:

5x - 4y + 12

Step-by-step explanation:

use m a t h w a y , it answers any math question

^put the letters together and search it

The feet that he descended in 8 hours will be 135168 feet.

From the information, it was stated that the the hiker hikes at a rate of 3.2 miles per hour.

Therefore, the number of miles after 8 hours will be:

= 8 × 3.2

= 25.6 miles

It should be noted that 1 mile = 5280 foot

Therefore, this will be:

= 25.6 × 5280

= 135168 feet

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Answer:

the last one

Step-by-step explanation:

The minimum is 29 cm and it represents the sensor's minimum height above the ground.

In Mathematics and Geometry, the standard form of a cosine function can be represented or modeled by the following mathematical equation (formula):

y = Acos(Bx - C) + D

Where:

By critically observing the graph which models the sensor's height above the ground (in centimeters) shown in the image attached below, we can reasonably infer and logically deduce that it has a minimum height of 29 centimeters.

In conclusion, the sensor's minimum height above the ground cannot exceed 29 centimeters.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

all work pictured and shown

Answer:

Laurie

Step-by-step explanation:

Answer:

Move all terms that don't contain x to the right side and solve. x = 10 − 2 y

Step-by-step explanation:

B(x, y) = TC 252 (sin 0)2x-1 (cos 0)2y-1

We need to show that 0dt tx-1 B(x, y)

= (1+t)x+y [infinity]

For this, we need to substitute t = tan² 0 in B(x, y).

So, B(x, y) can be written as shown below:

B(x, y) = TC 252 (sin 0)2x-1 (cos 0)2y-1

Now, substitute t = tan² 0 in B(x, y)

So, we have: B(x, y) = TC 252 (sin 0)2x-1 (cos 0)2y-1

= TC 252 (sin 0)2x-1 (cos 0)2y-1(sin²0 + cos²0)

Now, use the identity 1 + tan²0

= sec²0 in sin²0 and cos²0.

We have: B(x, y) = TC 252 [sin2 0 sec² 0 x-1] [cos² 0 sec² 0 y-1]

= TC 252 [tan² 0 sec² 0 x] [sec² 0 y-1]

Now, substitute t = tan² 0 and sec² 0

= 1 + tan² 0 in B(x, y).

We have: B(x, y) = TC 252 [t (1 + t) x-1] [(1 + t) y-1]

= TC 252 t x+y-2 (1+t)

Now, integrate the above expression to obtain the final expression.

0dt tx-1 B(x, y)

= TC 252 t x+y-1 dx (taking t out of the integral)

= TC 252 t x+y-1 dx [1+t] [0, infinity]

= TC 252 [t x+y-1 + t x+y] [0, infinity]

= TC 252 [(t x+y-1 + t x+y)/(x+y)] [0, infinity]

= TC 252 (1+t) x+y-1 [0, infinity]

= (1+t) x+y-1 [infinity]

So, 0dt tx-1 B(x, y)

= (1+t)x+y [infinity

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Answer: \(x^2+\frac{11}{4}x+\frac{3}{2}\)

Step-by-step explanation:

Use FOIL:

\(x^2+\frac{3}{4} x+\frac{4}{2} x+\frac{12}{8}\)

\(x^2+\frac{3}{4} x+\frac{8}{4}x+\frac{12}{8} \\\)     Make 3/4x and 4/2x have the same denominator

\(x^2+\frac{11}{4}x+\frac{12}{8}\)            Add like terms

\(x^2+\frac{11}{4}x+\frac{3}{2}\)              Simplify

Answer:

C 50 grams

Step-by-step explanation:

The y-intercept is (0, 50), meaning that when the experiment first began, the sample was 50 grams.

Have the day you deserve :)

Answer:

The probability is 1/4, for me if I need to guess all blankly.

But if I am unprepared but if I use my brain it can be 3/4

Sooo, hope it helps!!!

Answer:

(x−1)(6x2+1)

Step-by-step explanation:

x^3-6x^2+x-1

(x−1)(6x^2+1)

Answe: (

( − 1 ) ( 6 ^ 2 + 1 )

4a.4²x +3=1

Slotuion:

4²x + 3=1 : x= -⅛ (Decimal:x= -0.125)

Steps

4² x +3=1

4²=16

16x + 3=1

Subract 3 from borh sides

16x +3-3=1-3

Simplify

16x=-2

Divides both sides by 16

\( \frac{16 \times }{16} =

\( \frac{ - 2}{16} \)

\)

Simplitfy

\( \frac{16 \times }{16} : x\)

Simplify

\( \frac{ - 2}{16}: -⅛ \)

x = -⅛

therefore the answer is x= -⅛

4b.ex-1 -5 =5

x~=3.30258

explanation:

e^(x-1)-5=5

e^(x-1)=10

x-1=ln 10

x-1~=2.30258

x~=3.30258

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You have writing errors may be

\(\\ \rm\Rrightarrow 4x²+3=1\)

\(\\ \rm\Rrightarrow 4x²=1-3\)

\(\\ \rm\Rrightarrow 4x²=-2\)

\(\\ \rm\Rrightarrow x^2=-1/2\)

\(\\ \rm\Rrightarrow logx²=-log0.5\)

\(\\ \rm\Rrightarrow 2logx=-log0.5\)

\(\\ \rm\Rrightarrow logx=0.15\)

\(\\ \rm\Rrightarrow x=10^{0.15}\)

\(\\ \rm\Rrightarrow x=1.412\)

#2

\(\\ \rm\Rrightarrow e^{x-1}-5=5\)

\(\\ \rm\Rrightarrow e^{x-1}=10\)

\(\\ \rm\Rrightarrow x-1=ln10\)

\(\\ \rm\Rrightarrow x-1=2.3\)

\(\\ \rm\Rrightarrow x=2.3+1\)

\(\\ \rm\Rrightarrow x=3.3\)