Which of the following is a geometric sequence?
A) 3,-9,27, -81,...
B)19, 15, 21, 27,...
C)4, 9, 16, 25,...
D)30,15, 0, -15,...
Please help
ILL GIVE BRAINLEST TO WHOEVER IS RIGHT

Answer:

D,xy=-12

Step-by-step explanation:

y=x²+x-2

x+y=1

or x+x²+x-2=1

x²+2x-3=0

x²+3x-x-3=0

x(x+3)-1(x+3)=0

(x+3)(x-1)=0

either x=-3

or x=1

when x=-3

x+y=1

-3+y=1

y=1+3=4

one solution is (-3,4)

xy=-3×4=-12

if x=1

1+y=1

y=0

second solution is (1,0)

xy=1×0=0

The probability of stereo sound of a randomly selected set is 0.058 or 5.8%.

The given data is: Manufacturer makes three models of a television set: model A, B, and C.40% of Model A sets are sold.40% of Model B sets are sold. 20% of Model C sets are sold. 3% of Model A sets have stereo sound.7% of Model B sets have stereo sound. 9% of Model C sets have stereo sound.

The probability of the stereo sound of a randomly selected set is asked.

The probability of the stereo sound of a randomly selected set can be found by adding the probability of stereo sound of each model of the set sold multiplied by the probability of a set of that model being sold:

Probability of stereo sound of a randomly selected set = P(Model A) × P(Stereo Sound | Model A) + P(Model B) × P(Stereo Sound | Model B) + P(Model C) × P(Stereo Sound | Model C)

Let P(Model A) = probability of Model A being sold = 40/100 = 0.4

Let P(Stereo Sound | Model A) = probability of Stereo Sound given that Model A is sold = 3/100 = 0.03

P(Model B) = probability of Model B being sold = 40/100 = 0.4

Let P(Stereo Sound | Model B) = probability of Stereo Sound given that Model B is sold = 7/100 = 0.07

P(Model C) = probability of Model C being sold = 20/100 = 0.2

Let P(Stereo Sound | Model C) = probability of Stereo Sound given that Model C is sold = 9/100 = 0.09

Probability of stereo sound of a randomly selected set= P(Model A) × P(Stereo Sound | Model A) + P(Model B) × P(Stereo Sound | Model B) + P(Model C) × P(Stereo Sound | Model C)

= (0.4)(0.03) + (0.4)(0.07) + (0.2)(0.09)= 0.012 + 0.028 + 0.018

= 0.058

Therefore, the probability of stereo sound of a randomly selected set is 0.058 or 5.8%.

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the parametric equations for the particle's position at time t are:  x(t) = 2.5 - 3/2 * sqrt(193) + t * (-3/2) * sqrt(193), y(t) = 21 - 5 * sqrt(193) + t * (-5) * sqrt(193), z(t) = 25 - 6 * sqrt(193) + t * (-6) * sqrt(193)

To find the parametric equations for the particle's position at time t, we first need to find the direction vector of the line that the particle is moving along.

The direction vector can be found by subtracting the coordinates of P from the coordinates of Q:

direction vector = <(-4) - (-1), (-4) - 6, (-5) - 7>

= <-3, -10, -12>

To make it easier to work with, we can divide this vector by its magnitude to get a unit vector in the same direction:

direction unit vector = <-3, -10, -12> / sqrt((-3)^2 + (-10)^2 + (-12)^2)

= <-3/sqrt(193), -10/sqrt(193), -12/sqrt(193)>

Now we can use the parametric equation of a line to find the position vector of the particle at time t:

position vector = initial position + t * direction unit vector

We are given that the particle passes through P at time t = 3 and through Q at time t = 5, so we can use those values to solve for the initial position:

initial position + 3 * direction unit vector = <-1, 6, 7>

initial position + 5 * direction unit vector = <-4, -4, -5>

Subtracting the first equation from the second, we get:

2 * direction unit vector = <-3, -10, -12>

Multiplying both sides by 1/2, we get:

direction unit vector = <-3/2, -5, -6>

Now we can use either of the two previous equations to solve for the initial position:

initial position = <-1, 6, 7> - 3 * <-3/2, -5, -6>

= <2.5, 21, 25>

So the parametric equations for the particle's position at time t are:

x(t) = 2.5 - 3/2 * sqrt(193) + t * (-3/2) * sqrt(193)

y(t) = 21 - 5 * sqrt(193) + t * (-5) * sqrt(193)

z(t) = 25 - 6 * sqrt(193) + t * (-6) * sqrt(193)

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Answer:

F type connector

Step-by-step explanation:

Use an F-type connector for broadband cable connections that use coaxial cable.

The F connector is a coaxial RF connector commonly used for "over the air" terrestrial television, cable television and universally for satellite television and cable modems,

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Given statement solution is :- The mass of x refers to the probability mass function (PMF) values for each value of x.

Plot of the probability mass function (PMF):

The PMF plot represents the probabilities of the different values of x.

css

Copy code

x  |  P(X=x)

---|--------

0  |  0.362

1  |  0.442

2  |  0.153

3  |  0.037

4  |  0.006

5  |  0.0005

The cumulative distribution function (CDF) of x is a function that gives the probability that X takes on a value less than or equal to a given x-value.

a. The possible values of x are 0, 1, 2, 3, 4, and 5. This represents the number of hearts you can get from the 5 cards dealt.

b. The mass of x refers to the probability mass function (PMF) values for each value of x. We can calculate the mass as follows:

P(x = 0) = (39/52) * (38/51) * (37/50) * (36/49) * (35/48)

P(x = 1) = 5 * (13/52) * (39/51) * (38/50) * (37/49) * (36/48)

P(x = 2) = 10 * (13/52) * (12/51) * (39/50) * (38/49) * (37/48)

P(x = 3) = 10 * (13/52) * (12/51) * (11/50) * (39/49) * (38/48)

P(x = 4) = 5 * (13/52) * (12/51) * (11/50) * (10/49) * (39/48)

P(x = 5) = (13/52) * (12/51) * (11/50) * (10/49) * (9/48)

Note: The coefficients in front of each probability correspond to the different ways of selecting x hearts from the available hearts in the deck.

c. Plot of the probability mass function (PMF):

The PMF plot represents the probabilities of the different values of x.

css

Copy code

x  |  P(X=x)

---|--------

0  |  0.362

1  |  0.442

2  |  0.153

3  |  0.037

4  |  0.006

5  |  0.0005

d. The cumulative distribution function (CDF) of x is a function that gives the probability that X takes on a value less than or equal to a given x-value.

The CDF of x can be calculated by summing up the probabilities of all the values less than or equal to x.

CDF(x = 0) = P(x = 0)

CDF(x = 1) = P(x = 0) + P(x = 1)

CDF(x = 2) = P(x = 0) + P(x = 1) + P(x = 2)

CDF(x = 3) = P(x = 0) + P(x = 1) + P(x = 2) + P(x = 3)

CDF(x = 4) = P(x = 0) + P(x = 1) + P(x = 2) + P(x = 3) + P(x = 4)

CDF(x = 5) = P(x = 0) + P(x = 1) + P(x = 2) + P(x = 3) + P(x = 4) + P(x = 5)

e. Plot of the cumulative distribution function (CDF):

The CDF plot represents the cumulative probabilities for the different values of x.

scss

Copy code

x  |  CDF(X<=x)

---|-----------

0  |  0.362

1  |  0.804

2  |  0.957

3  |  0.994

4  |  1.000

5  |  1.000

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The system of inequalities did not have any solution, but after reversing the  sign we will get a solution of the system of inequalities.

The inequalities are : y > 2x + 2/3 and y < 2x + 1/3

There is no intersection and no solution to the system since the region above the line y = 2x + 2/3 and the region below the line y = 2x + 1/3, respectively, are the solutions to the inequality y > 2x + 2/3 and y <2x + 1/3, respectively.

Now when the signs are changed we get:

y < 2x + 2/3 and y > 2x + 1/3

The region below the line y = 2x + 2/3 is the solution of the inequality

y= 2x + 2/3, and the region above the line y = 2x + 1/3 is the solution of the inequality y > 2x + 1/3. This implies that the area between the two lines is where the system's solution lies.

Disclaimer: The complete question is :

How will the solution of the system y>2x+2/3 and y<2x+1/3 change if the inequality sign on both inequalities is reversed to y<2x+2/3 and y>2x+1/3?

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Answer:

There is no solution to the system in its original form. There are no points in common. If the signs are reversed, the system has an intersection with an infinite number of solutions. 

Step-by-step explanation:

Sample answer

For this case we know that the real pyramid is 24 ft of tall

And we also know that we have a scaled model with a height of 2ft and a wide of 1ft in the base

Since the scale model preserve the factors between all the dimensions (that means if we compress by a factor of 1/2 all the dimensions would be compressed 1/2), we can do the following taking in count just the heights given:

So then the answer for this case would be 1/12 or 1:12 for the scale figure

We can write every odd integer greater than four as the sum of integral power of 2 and a prime number. Therefore, there is no odd integer greater than four that cannot be written as the sum of integral power of 2 and a prime number.

Let the integer of interest be x. From provided details, x is an odd integer greater than 4. Therefore,

x = 2n + 1

where n ∈ N and n > 1

Also it cannot be written as the sum of an integral power of 2 and a prime number

2ᵃ + k ≠  x

where a is an integer and k is a prime number.

This prime cannot be 2 as x is odd.

Let us assume x = 2ᵃ + k.

2n + 1 = 2ᵃ + k

2n - 2ᵃ = k - 1

n - 2ᵃ⁻¹ = (k - 1)/ 2 6 8

n =  2ᵃ⁻¹ + (k -1)/2

This can be written as n =  2ᵃ + k

where a is an integer and k is 1, 3m or 3m - 1, where m ∈ {1, 2, 3, ...}

Considering n =  2ᵃ + 3m, thus n can be written as 3m + 1, when a = 0 and 3m + 2, when a = 1.

Considering n = 2ᵃ + 3m - 1, n can be written as 3m, when a = 0.

So in conclusion, n can be 3m, 3m + 1, 3m + 2, where m ∈ {1, 2, 3...}. So n can be any natural number. This does not contradict our assumption. So every odd integer greater than 4 that can be written as the sum of an integral power of 2 and a prime number.

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We have the equations :

To solve graphically, we should plot the graph of the equation on the same graph.

For y = x-2

We can obtain two points to plot the graph of y = x-2

At x= 0:

At y= 0:

We have the points : (0,-2) and (2,0)

For 2x + y =1

At x = 0:

At y = 0:

We have the points : (0, 1) and (1/2, 0)

Plotting these points gives the graph shown below:

From the graph, we have the point of intersection of the two lines as (1,-1)

Hence, the solution to the system of equation is (1, -1)

The 95% tolerance limits that contain 95% of the diameters is 2.262

Diameter:

In math, the straight line passing through the center of a circle or sphere and meeting the circumference or surface at each end is known as diameter.

Given,

Here we need to find the 95% tolerance limits that contain 95% of the diameters estimation of the mean diameter, while important, is not nearly as important as trying to pin down the location of the majority of the distribution of diameters.

According to the given question we have identified the following values,

Tolerance percentage = 95%

Diameter percentage = 95%

x = 61,492

n = 10

s = 3035

c = 95% = 0.95

Now, the value of t is determine by looking in the row starting with degrees of freedom 

=> df = n−1 = 10−1 = 9 and in the column with 

=> α/2 = (1−c)/2

=>0.025 

Then as per the table of the Student’s T distribution:

=> tα​=2.262

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Answer:

r=-24

Step-by-step explanation:

Step1:  Add 4 to both sides

-2r - 4 + 4 > 44 + 4

-2r > 48

Step 2: Divide both sides by -2

-2r/ -2 > 48/ -2

r < -24

If both checks have not cleared yet, $55 will come out of Morgan's account soon for the missing check(s).

To determine if both checks have cleared, we need to know the current status of Morgan's account. Without that information, we cannot definitively say whether the checks have cleared or not.

However, based on the information provided, we can calculate the total amount that will come out of Morgan's account soon for the missing check(s).

The total amount that will come out of Morgan's account soon can be calculated as the sum of the $30 fee and the $25 birthday gift, which is $55 in total.

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Answer:

9.899

Step-by-step explanation:

Area of square = side × side

49 = side × side

7 × 7 = side × side

Side = 7 cm

Diagonal of square = side × root2

= 7 × Root2 cm

= 9.899

Answer:

Step-by-step explanation:

a) 4 * b = 4b

B)

\(\frac{1}{5}m+\frac{2}{5}m=\frac{1+2}{5}m\\\\=\frac{3}{5}m\)

Distance travelled by tip of the minute hand of a clock as per the given length of minute hand and time 12 to 8 o'clock  is equal to ( 40/3)π.

As given in the question,

Length of the minute hand of a clock 'r' is equal to 10 inches

Minute hand of a clock moves from 12 to 8 o'clock

Central angle made by minute hand of a clock from 12 to 8 o'clock

= (8 /12) × 360°

= 240°

Distance travelled by tip of the minute hand of a clock is same as the arc length of a clock

= (central angle / 360°) × circumference

= (240° /360°) × 2π (10)

= 40π/3 inches.

Therefore, distance travelled by tip of the minute hand of a clock as per the given length of minute hand and time 12 to 8 o'clock  is equal to

(40/3)π.

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The correct expression for the magnitude of the vector c = a x b is |c| = |a| |b| sin(theta), where theta is the angle between the two vectors.

The vector product of two vectors a and b is defined as c = a x b = |a| |b| sin(theta) n, where n is the unit vector perpendicular to both a and b in the direction given by the right-hand rule. Since c = a x b, the magnitude of c can be expressed as |c| = |a| |b| sin(theta), where theta is the angle between a and b. Therefore, the correct expression for the magnitude of the vector c = a x b is |c| = |a| |b| sin(theta).

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Answer:

it has solution...........,......

Answer:

first odd integer=x

second odd integer=x+2

third odd integer=x+4

x+x+2+x+4=2097

x+x+x+2+4=2097

3x+6=2097

3x=2097-6

3x=2091

3x/3=2091/3

x=697

therefore, x=697

x+2=697+2=699

x+4=697+4=701

Answer:

Step-by-step explanation:

Using the Pythagorean Theorem, (7)2 + (5)2 = c2 ⇒ c = 72

.

Since x =  1 /cos x =  hypotenuse /adjacent , then sec x = √ 74/7

The length of 8 beans of 70 mm each in nautical miles is approximately 0.0000259 nautical miles,

Conversion is the process of changing the unit of measurement of a physical quantity from one system to another, such as converting from inches to centimeters, or from kilograms to pounds.

To convert the length of the beans from millimeters to nautical miles, we need to perform the following conversions:

Convert millimeters to meters: divide by 1000

Convert meters to nautical miles: divide by 1852

So, the length of 8 beans of 70 mm each in nautical miles is:

(8 beans) x (70 mm/bean) x (1 m/1000 mm) x (1/1852 nautical miles/m) = 0.0000259 nautical miles

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The feasible set for this system of constraints is not convex, and the points (5, 5) and (3, 7) violate the convexity definition.

To determine whether the feasible set for each system of constraints is convex, we need to analyze the constraints individually and examine their intersection.

a) (x1)² + (x2)² > 9

This constraint represents points outside the circle with a radius of √9 = 3. The feasible set includes all points outside this circle.

b) x1 + x2 ≤ 10

This constraint represents points that lie on or below the line x1 + x2 = 10. The feasible set includes all points on or below this line.

c) x1, x2 > 0

This constraint represents points in the positive quadrant, where both x1 and x2 are greater than zero.

Now, let's analyze the intersection of these constraints:

Considering the first two constraints (a and b), we can see that the feasible set consists of all points outside the circle (constraint a) and below or on the line x1 + x2 = 10 (constraint b).

To determine whether the feasible set is convex, we need to check if any two points within the set create a line segment that lies entirely within the set.

If we consider the points (5, 5) and (3, 7), both points satisfy the individual constraints (a) and (b). However, the line segment connecting these two points, which is the line segment between (5, 5) and (3, 7), exits the feasible set since it passes through the circle (constraint a) and above the line x1 + x2 = 10 (constraint b).

Therefore, the feasible set for this system of constraints is not convex, and the points (5, 5) and (3, 7) violate the convexity definition.

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Answer:

You are more likely to grab a red marble. You are less likely to grab a green marble.

Step-by-step explanation:

6/16 is greater than 5/16. The bigger the number, the higher the probability.

Have a great day!

−196,16

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

The largest integer that is a divisor of (n+1)(n+3)(n+5)(n+7)(n+9) is 15

Divisor of a Number :  

A Divisor is any number that divides a given number completely or with a reminder. Where a factor, is a divisor that divides the number entirely and leaves no remainder.

Here we have,

(n + 1)(n + 3)(n + 5)(n + 7)(n + 9)  

And n is a positive even integer  

For n = 2 ⇒  (2 + 1)(2 + 3)(2 + 5)(2 + 7)(2 + 9) = (3× 5 × 7 × 9 × 11 )    

For n = 4 ⇒   (4 + 1)(4 + 3)(4 + 5)(4 + 7)(4 + 9) = (5× 7 × 9 × 11 × 13 )

and so on.

From the above calculations,

we can say that (n + 1); (n + 3); (n + 5); (n + 7); (n + 9) are 5 consecutive odd numbers  

In every 5 consecutive odd positive integers,

One of them is always divisible by 3

And one of them is always divisible by 5.

Therefore,

(n + 1)(n + 3)(n + 5)(n + 7)(n + 9) will be divisible by both 3 and 5

As we know product of 3 and 5 = 15

then (n + 1)(n + 3)(n + 5)(n + 7)(n + 9) will also divisible by 15

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The complete question is

What is the largest integer that is a divisor of (n+1)(n+3)(n+5)(n+7)(n+9) for all positive even integers n?  

(A) 3         (B)  5        (C)  11          (D) 15             (E)  165    

Answer:

(5,2), (9.5,70)Step-by-step explanation:

Answer:

James Augustine would have deposited $160.73 into the bank

Step-by-step explanation:

\(12+20+2.50+1.20+0.40+132.51+32.12-40=160.73\)

Answer:

All real numbers are solutions.

Step-by-step explanation: