What does x equal to?

The smallest possible area of the circle with the points (-3,-2) and (1,4) is 13π.

Given, the endpoints of the circle are given:

(-3,-2) = (x₁,y₁)

(1,4) = (x₂,y₂)

The circle with the smallest possible area that passes through the points (-3, -2) and (1, 4) is a circle with a diameter whose endpoints are these two points.

we are asked to determine the area of the circle = ?

first calculate the distance between the points:

distance  = √(x₁-x₂)²+(y₁-y₂)²

d = √(-3-1)²+(-2-4)²

d = √(-4)² + (-6)²

d = √16+36

d = √52

d = 2√13

Thus, the radius has a length of r = √13,

and the area of the circle is A = π x (√13)²

= 13π.

Hence we get the area of the circle as 13π..

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Approximately 34% of American adults have a mobile phone but not a landline, based on the given proportions from the study conducted by the Centers for Disease Control.

The proportion of American adults who have a mobile phone but not a landline, we need to subtract the proportion of those who have both a mobile phone and a landline from the proportion of those who have a mobile phone.

Let's denote the proportion of American adults who have a mobile phone as P(M), the proportion who have a landline as P(L), and the proportion who have neither as P(N).

Given information:

P(M) = 89% (proportion with a mobile phone)

P(L) = 57% (proportion with a landline)

P(N) = 2% (proportion with neither)

We can now calculate the proportion of adults who have a mobile phone but not a landline using the following equation:

P(M and not L) = P(M) - P(M and L)

To find P(M and L), we can subtract P(N) from P(L) since those who have neither are not included in the group with a landline:

P(M and L) = P(L) - P(N)

P(M and L) = 57% - 2%

P(M and L) = 55%

Now we can substitute the values back into the equation to find P(M and not L):

P(M and not L) = P(M) - P(M and L)

P(M and not L) = 89% - 55%

P(M and not L) = 34%

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To show that the vector field F(x, y) = x⋅i + y⋅j is conservative, we need to verify that its curl is zero. Taking the curl of F, we get ∇ × F = (Ny/Nx) - (Mx/My). Since M = x and N = y, we have Ny/Nx = 1 and Mx/My = 1, which means ∇ × F = 1 - 1 = 0. Thus, the vector field F is conservative.

(b) To verify that the value of ∫F⋅dr is the same for different parametric representations of C, we need to evaluate the line integral along each representation.

For the first parametric representation C1: r1(t) = ti + t^2j, where t ranges from 0 to s. Substituting this into F, we get F(r1(t)) = t⋅i + (t^2)⋅j. Evaluating ∫F⋅dr along C1, we have ∫(t⋅i + (t^2)⋅j)⋅(dt⋅i + 2t⋅dt⋅j) = ∫(t⋅dt) + (2t^3⋅dt) = (1/2)t^2 + (1/2)t^4.

For the second parametric representation C2: r2(θ) = sin(θ)i + sin(θ)j, where θ ranges from 0 to π/2. Substituting this into F, we get F(r2(θ)) = (sin(θ))⋅i + (sin(θ))⋅j. Evaluating ∫F⋅dr along C2, we have ∫((sin(θ))⋅i + (sin(θ))⋅j)⋅((cos(θ))⋅i + (cos(θ))⋅j) = ∫(sin(θ)⋅cos(θ) + sin(θ)⋅cos(θ))⋅dθ = ∫2sin(θ)⋅cos(θ)⋅dθ = sin^2(θ).

Comparing the results, (1/2)t^2 + (1/2)t^4 for C1 and sin^2(θ) for C2, we can see that they are not equal. Therefore, the value of ∫F⋅dr is not the same for each parametric representation of C.

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Answer:

$60.48

Step-by-step explanation:

hope this helps!!

Answer:

B wpuld be your answer

Step-by-step explanation:

Its the nearest ft from 70.

Rounding to the nearest tenth, the surface area painted is approximately 263.8 square inches.

12π inches / 2π = 6 inches / 2π = 6 / 2 = 3 inches

So, the radius of the rod is 3 inches.

Next, we find the surface area of one piece of the rod by using the formula for the surface area of a cylinder:

Surface area = 2πr(h + r)

Surface area = 2π * 3 * (4 + 3) = 2π * 3 * 7 = 42π square inches

Finally, we multiply the surface area of one piece of the rod by 2 to find the total surface area painted:

Surface area painted = 42π square inches * 2 = 84π square inches

Using π ≈ 3.14, the surface area painted is approximately 84 * 3.14 = 263.76 square inches.

Therefore, The rounding to the nearest tenth, the surface area painted is approximately 263.8 square inches.

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Using trigonometric function the value of x is 51.3°.

What is trigonometric function?

The functions of an angle in a triangle are known as trigonometric functions, commonly referred to as circular functions. In other words, these trig functions provide the relationship between a triangle's angles and sides. There are five fundamental trigonometric functions: sine, cosine, tangent, cotangent, secant, and cosecant.

Here Let us take the given right triangle as ABC.

∠A = x , ∠B = 90° and AB = 25 , AC= 40

Now using Cosine ratio then

Cos  A = \(\frac{adjacent}{hypotenuse}\)

=> cos x = \(\frac{25}{40}\)

=> cos x = \(\frac{5}{8}\)

=> x = \(cos^{-1}\frac{5}{8}\)

=> x = 51.3°

Hence the value of x is 51.3°.

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Step-by-step explanation:

please mark me as brainlist please

Answer:

Using Pythagorean theorem we can find the radius which is the distance between the center and any point along the circle:

r=((5-1)^2+(2-2)^2)^(1/2)

r=(4^2-0^2)^(1/2)

r=4 units.

Circumference=2pr so our circumference is 8p units^2

so about 25.13 u^2

Answer:

fg

ur welcome and im out

Step-by-step explanation:

Answer:

\(2x + 2 = 5x - 4 \\ 2x - 5x = - 4 - 2 \\ - 3x = - 6 \\ x = \frac{ - 6}{ - 3} \\ x = 2\)

To find only one fake coin from 8 coins can be done in two weighings.

Divide the coins into three groups, A, B, and C, each consisting of three coins.

A and B are first weighed against one another. If the balancing scale is straight, fake coins belong in group C; otherwise, they belong in A or B, depending on which side of the scale is up.

Finding the lighter fake coin requires a second weighing if the first weighing indicates that the fake coins are in group C. Weigh any two phony coins from the group if A/B. The third coin is phony if the scale is balanced; else, choose the coin that is lighter.

For 3 weighing, make pair of 4 and followed by pair of 2 for the lighter group. At last, compare the last 2 coins to find the lighter coins.

8 → 4 →2 →1

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A sample should be 47 to be taken if the desired margin of error is two minutes at a 95% level of confidence

Given information:

A medical facility wants to determine the average amount of time each patient spends with a staff member while creating patient appointment schedules. utilize a planned value of seven minutes for the population's standard deviation.

б=7, ME=2

95% Confidence (to the nearest whole number):

For 95% confidence interval z-critical value is z_{c}=1.96. So

n = (z * б /ME )² = (1.96* 7/ 2)= 47.05

The Requried sample size is 47

If the acceptable margin of error is two minutes at a 95% level of confidence, then a sample of 47 should be taken.

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The coordinates of B are (r, 0).

In a rectangle, opposite sides are parallel and equal in length. Since A and D are on the bottom line, and B and C are on the top line with B over A, the height of the rectangle remains constant. Therefore, the y-coordinate of B is the same as the y-coordinate of A, which is 0.

The x-coordinate of B is the same as the x-coordinate of C, which is r. Therefore, the coordinates of B are (r, 0).

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Answer:

A

Step-by-step explanation:

i think...

The transformation is (4, 3)

A transformation is a general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure. The original shape of the object is called the Pre-Image and the final shape and position of the object is the Image under the transformation

If the there is rotation of 90° around the origin (0,0), that can be expressed as

(x, y) => (-y, x)

Which means a 90° rotation that can done by changing coordinates positions and inverting the sign of y-coordinate.

However, the problem is giving the transformed coordinates where

Q'(–3, 4)

Hence, the transformation is (4, 3)

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Answer:

7.6 liters

Step-by-step explanation:

The required converted value is 7.6 liters, which is 8 quarts into liters.

To convert 8 quarts into liters, we can use the following conversion factors:

1 quart (qt) = 4 cups (cups)

1 cup (cup) = 8 fluid ounces (fl oz)

1 fluid ounce (fl oz) = 29.574 milliliters (mL)

1 liter (L) = 1000 milliliters (mL)

First, let's convert quarts to cups:

8 quarts x 4 cups/quart = 32 cups

Next, convert cups to fluid ounces:

32 cups x 8 fl oz/cup = 256 fl oz

Now, convert fluid ounces to milliliters:

256 fl oz x 29.574 mL/fl oz = 7570.94 mL

Finally, convert milliliters to liters:

7570.94 mL / 1000 mL/L = 7.57094 L

Rounded to the nearest tenth, 8 quarts is approximately 7.6 liters.

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The complete question is as follows:

Convert 8 quarts into liters. Round your answer to the nearest tenth

*Note: you must use these exact conversion factors to get this question right.

1 cup (cup) = 8 fluid ounces (fl oz)

1 liter (L) 1000 milliliters (mL)

1 pint (pt) = 2 cups (cups)

1 cubic meter (m³) = 1000 liters (L)

1 quart (qt) = 2 pints (pt)

1 gallon (gal) = 3.785 liters (L)

1 gallon (gal) = 4 quarts (qt)

1 fluid ounce (fl oz) = 29.574 milliliters (ml)

1 cubic foot (ft³) = 7.481 gallons (gal)

The head loss in 12 meters of the duct is 0.188 m. The head loss of a duct is related to the flow rate, cross sectional area, length, and friction coefficient.

The head loss of a duct is related to the flow rate, cross sectional area, length, and friction coefficient. The head loss equation is given by  h_f = ,Where f is the friction coefficient, l is the length of the duct, v is the velocity of the flow, g is the acceleration due to gravity, and A is the cross-sectional area of the duct.In this problem, the flow rate is 0.068 m3/s, the rectangular duct is 0.3 m wide and 0.15 m high, and the length of the duct is 12 meters. Therefore, the cross sectional area is A = 0.3 m × 0.15 m = 0.045 m2. Using the Darcy-Weisbach equation, the friction coefficient is f = 0.047. Plugging these values into the head loss equation, the head loss can be calculated as hf = \((0.047*12m)(0.068m^3/s)^2)/(2*9.81m/s^2*0.045m^2\)) hf = 0.188 m Therefore, the head loss in 12 meters of the duct is 0.188 m.

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The possible outcome for the new board game Easton is designing is 12

Possible outcome is a term used in mathematics when solving for probability. This term means the total number of times as event is possible

Given data

a spinner with three equal-sized sections labeled Walk, Run, Stop.

a fair die in the shape of a pyramid that has four sides labeled 1 to 4

for the spinner we have three sides, therefore spinner = 3

for the die we have 4 sides, therefore pyramid = 4

The possible outcome = 3 * 4

The possible outcome = 12

Therefore the possible outcome for the new board game Easton is designing is 12

Answer:

Step-by-step explanation:

a.) if the ball is thrown from the balcony then the height would just be the y intecercept. I guess you could plug in 0 for T if you need to show the work.

-5*(0²)+30(0)+25= 25

b.)The time it takes for the ball to reach its peak would be the x value of the vertex.

-b/2a

(-30)/(2*-5)= -30/-10= 3

3 seconds

c) Because we know the ball hits its maximum height at the 3 second mark we can find out how high it went by just plugging in 3 for t

-5*3²+30*3+25= 70

70 meters

The kind of sample described is A. Convenience.

Convenience sampling involves selecting individuals who are readily available and convenient to participate in the study. In this scenario, the representative of the student government association is standing at the door of the library and asking all students who enter about a new grading policy. This method of sampling is convenient because it allows the representative to easily approach and gather data from students who are already present at the library.

However, convenience sampling may introduce bias into the sample because it relies on the availability and willingness of individuals to participate. It may not represent the entire population accurately, as it may exclude certain groups or individuals who are not present at the library during that specific time. Therefore, while convenience sampling is easy to implement, it may not provide a representative sample of the entire student population at the college.

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This is the answer to your problem

Answer:

The answer to your problem is, 9

Step-by-step explanation:

I can conclude that the answer is nine by the following step shown down below.

The bottom triangle the one that it on the " floor ".

It is an equilateral triangle which means that that all sides are the same length ( same with the one on top ).

So if one side is 9, the other side is also 9.

Thus the answer to your problem is, 9

Answer:

\(x = 6 \sqrt{3} \)

Answer: -15

Step-by-step explanation:

x+y=10

y=-x+10

2x+3(-x+10)=45

2x-3x+30=45

-x=15

x=-15

For the data  12, 14, 21, 19, 25, 29, 26, 21, 15, and 18.

the mean is 20

the standard deviation is 3.7

the interquartile is 10

For the data  12, 14, 21, 19, 25, 29, 26, 21, 15, and 18. the mean is calculated as follows

= sum of data / number of data

sum = 200

number of data = 10

mean (x bar)  = 200 / 10

= 20

standard deviation

standard deviation is the square root of  the ratio of sum of squares to number of samples

sum of squares = (x - x bar)²

= (12 - 20)² + (14 - 20)² + (21 - 20)² + ......+(21 - 20)² + (15 - 20)² + (18 - 20)²

= 274

standard deviation = √(274 / 20) = 3.7

Interquartile range = upper quartile - lower quartile

raw data = 12, 14, 21, 19, 25, 29, 26, 21, 15, and 18

arranged data =  12, 14, 15, 18, 19, 21, 21, 25, 26, 29,

upper quartile = 25

lower quartile = 15

Interquartile range = 25 - 15 = 10

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The solution to the equation is x = 17/30.

To solve the equation, start by combining like terms on both sides.

On the left side, we have the fraction 2/3 and the term -4x.

On the right side, we have the fraction 7/2 and the term -9x.

To combine the fractions, we need a common denominator.

The least common multiple of 3 and 2 is 6.

So, we can rewrite 2/3 as 4/6 and 7/2 as 21/6.

Now, the equation becomes:

4/6 - 4x = 21/6 - 9x

Next, let's get rid of the fractions by multiplying both sides of the equation by 6:

6 * (4/6 - 4x) = 6 * (21/6 - 9x)

This simplifies to:

4 - 24x = 21 - 54x

Now, we can combine the x terms on one side and the constant terms on the other side.

Adding 24x to both sides gives:

4 + 24x - 24x = 21 - 54x + 24x

This simplifies to:

4 = 21 - 30x

Next, subtract 21 from both sides:

4 - 21 = 21 - 30x - 21

This simplifies to:

-17 = -30x

Finally, divide both sides by -30 to solve for x:

-17 / -30 = -30x / -30

This simplifies to:

x = 17/30

So the solution to the equation is x = 17/30.

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The coordinates which divide the segment with endpoint (-1,-2) and (8,4) in the ratio 2 to 1 are (5,2)

What is section formula?

Section formula is used to find the ratio in which a line segment is divided by a point internally or externally. The section formula can be given as

\((\frac{mx_{2}+nx_{1} }{m+n} ,\)\(\frac{my_{2}+ny_{1} }{m+n})\) where \((x_{1},y_{1} ),(x_{2},y_{2} )\) are the endpoints of the segment and this points are divided in the ratio \(m:n\)

We are given the coordinates as (-1,-2) and (8,4)

This segment is divided in ratio 2:1

We use section formula to find the coordinates

the x- coordinates can be given as

\(x=\frac{2(8)+1(-1)}{2+1}\)

\(x=\frac{16-1}{3}\\\)

\(x=\frac{15}{3}\)

\(x=5\)

Similarly the y coordinate can be given as

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

\(y=\frac{8-2}{3}\)

\(y=\frac{6}{3}\)

\(y=2\)

Hence the coordinates which divide the segment with endpoint (-1,-2) and (8,4) in the ratio 2 to 1 are (5,2)

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A local area network (LAN) connects two or more devices in a limited geographical area.

A local area network (LAN) is a type of network that links computers and other devices within a certain geographic region, such as a house, a school computer lab, an office building, or a cluster of nearby structures.

The nodes, or individual computers or devices that make up a network, frequently share resources like printers, big hard drives, and software. Cables are frequently used to connect the nodes. A LAN without physical wires is known as a wireless LAN (WLAN). A cable LAN and a WLAN frequently communicate in order for a WLAN to access its resources.

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Answer:

40 pages

20% is 8 pages

1/4 is 10

22 pages for articles

The correct answers are:

a. less a discount to yield 6.20%

d. plus a premium to yield 6.36%

Based on the provided information, the T bills maturing on August 2nd (8-2) are being offered at a bid yield of 6.36% and an ask yield of 6.20%.

To determine whether the T bills are being offered at a discount or a premium, we compare the bid yield and ask yield to the stated yields.

a. To yield 6.20% (ask yield), the T bills are being offered at a discount. Therefore, option a. "less a discount to yield 6.20%" is correct.

b. To yield 6.20%, the T bills are not being offered at a premium. Therefore, option b. "plus a premium to yield 6.20%" is incorrect.

c. To yield 6.36% (bid yield), the T bills are not being offered at a discount. Therefore, option c. "less a discount to yield 6.36%" is incorrect.

d. To yield 6.36%, the T bills are being offered at a premium. Therefore, option d. "plus a premium to yield 6.36%" is correct.

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Answer:

\(1410/12\)

117.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

1410 divided by 12, the division of one thousand, four hundred and ten by twelve

The number 1410 is called the numerator or dividend, and the number 12 is called the denominator or divisor.

The quotient of 1410 and 12, the ratio of 1410 and 12, as well as the fraction of 1410 and 12 all mean (almost) the same:

1410 divided by 12, often written as 1410/12.

117.5

=

117 Remainder 6

So the answer is

117.5