in a class 1/6 of a children are girls there are five girls in the class how many boys are there in the class
​

Answer:

4096

GP = {8 , 16 , 32 , 64 , 128 , 256 , 512 , 1024 , 2048 , 4096...} Therefore , the 10th term of the sequence is 4096.

I hope it help you

The required 10th term of the geometric sequence 8, -16, 32 is -4,096.

Geometric progression is a sequence of series whose ratio with adjacent values remains the same.

To find the 10th term of the geometric sequence 8, -16, 32, we first need to determine the common ratio (r) between consecutive terms.

r = (second term) / (first term) = (-16) / 8 = -2

So the common ratio is -2.

The nth term of a geometric sequence is given by the formula:

\(a_n = a_1 * r^{(n-1)}\)

where \(a_n\) is the nth term, \(a_1\) is the first term, r is the common ratio, and n is the term number.

To find the 10th term, we plug in a1 = 8, r = -2, and n = 10:

\(a_{10} = 8 * (-2)^{(10-1)}a10 = 8 * (-2)^9a_{10} = 8 * (-512)a_{10} = -4,096\)

Therefore, the 10th term of the geometric sequence 8, -16, 32 is -4,096.

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The coordinates of point D in the parallelogram ABCD are (15, 10).

To find the coordinates of point D, we can use the properties of a parallelogram. In a parallelogram, opposite sides are parallel and congruent. Therefore, we can use this information to determine the coordinates of point D.

Let's consider the given points:

A(-3, 5)

B(7, 12)

C(5, 3)

Since opposite sides of a parallelogram are parallel, the vector connecting points A and B should be equal to the vector connecting points C and D. We can express this as:

AB = CD

To find the vector AB, we subtract the coordinates of point A from the coordinates of point B:

AB = (7 - (-3), 12 - 5)

= (10, 7)

Now, we can express the vector CD using the coordinates of point C and the vector AB:

CD = (5, 3) + (10, 7)

= (15, 10)

Therefore, the coordinates of point D are (15, 10).

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Answer: 28.58

Step-by-step explanation: you find 7x4 which is 28 and then 28 + 0.58 and that gives you 28.58

Answer: The lowest possible product would be -6724 given the numbers 82 and -82.

We can find this by setting the first number as x + 164. The other number would have to be simply x since it has to have a 164 difference.

Next we'll multiply the numbers together.

x(x+164)

x^2 + 164x

Now we want to minimize this as much as possible, so we'll find the vertex of this quadratic graph. You can do this by finding the x value as -b/2a, where b is the number attached to x and a is the number attached to x^2

-b/2a = -164/2(1) = -164/2 = -82

So we know one of the values is -82. We can plug that into the equation to find the second.

x + 164

-82 + 164

82

Step-by-step explanation: Hope this helps.

By applying the angle bisector theorem to triangle ABC (ΔABC), the measure of angle ABD (m<ABD) is equal to 20°

In Mathematics, an angle bisector can be defined as a type of line, ray, or segment, that bisects or divides a line segment exactly into two (2) equal angles.

By applying the angle bisector theorem to triangle ABC (ΔABC), we have:

m<ABD = <ABC/2

Substituting the given parameters into the formula, we have;

m<ABD = 40/2

m<ABD = 20°

In this context, we can reasonably and logically deduce that the measure of m<ABD is 20 degrees.

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Answer:

P = 20

Step-by-step explanation:

Mean

Both statements are false

A scatter plot is a diagram or chart that is used to show the association and the correlation between two variables

From the given plot, we have the following highlights

The above highlights mean that:

Hence, both statements are false

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Answer:

PROOF THAT THIS PERSON IS RIGHT

Answer:

The zeros of this function should be option A. Where x = 4 and x = 6

Step-by-step explanation:

This is due to the fact that the parabola intersects the x - axis at these points.

answer:

To find the area of the sector determined by an arc with a measure of 50° in a circle with a radius of 10, we can use the formula for the area of a sector:

Area of Sector = (θ/360°) * π * r^2

where θ is the central angle in degrees, π is a mathematical constant approximately equal to 3.14159, and r is the radius of the circle.

Plugging in the given values:

θ = 50°

r = 10

Area of Sector = (50°/360°) * 3.14159 * (10)^2

Area of Sector ≈ (0.1389) * 3.14159 * 100

Area of Sector ≈ 43.98 square units

Rounded to the nearest tenth, the area of the sector determined by the 50° arc in a circle with a radius of 10 is approximately 44.0 square units.

For the initial value problem y' = 0; y(1) = 1, the solution is y = 1. Since the derivative of y with respect to x is zero, the function y remains constant, and the constant value is determined by the initial condition y(1) = 1.

For the initial value problem y' = 2xy - y; y(0) = 2(0) + 1 = 1, we can rewrite the equation as y' + y = 2xy. This is a first-order linear homogeneous differential equation. Using an integrating factor, we multiply the equation by e^x^2 to obtain (e^x^2)y' + e^x^2y = 2x(e^x^2)y. Recognizing that the left side is the derivative of (e^x^2)y, we can integrate both sides to get the solution y = Ce^x^2, where C is determined by the initial condition y(0) = 1. For the initial value problem y' = 2y; y(1) = -1, we can separate the variables and integrate to find ln|y| = 2x + C, where C is the constant of integration. Exponentiating both sides gives |y| = e^(2x+C), and since e^(2x+C) is always positive, we can remove the absolute value signs. Thus, the solution is y = Ce^(2x), where C is determined by the initial condition y(1) = -1.

For the initial value problem dy = y^2x - x; y(0) = 0, we can separate the variables and integrate to find ∫dy/y^2 = ∫(yx - 1)dx. This gives -1/y = (1/2)y^2x^2 - x + C, where C is the constant of integration. Rearranging the equation gives y = -1/(yx^2/2 - x + C), where the constant C is determined by the initial condition y(0) = 0. For the initial value problem y' = ety; y(0) = 0, we can separate the variables and integrate to find ∫e^(-ty)/y dy = ∫e^t dt. The integral on the left side does not have a closed-form solution, so the explicit solution cannot be expressed in elementary functions. However, numerical methods can be used to approximate the solution for specific values of t.

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Answer:

1. correct (conversion = x1000)

2. correct (conversion = [divided by] 1000)

3. wrong (conversion should be x100)

4. wrong (conversion should be x1000)

5. correct (conversion = x10)

Answer:

option 1, 2 and 5 are correct

Step-by-step explanation:

1 Km = 1000 m

1) 1.25 km = 1.25 * 1000 = 1250 m

2) 0.345 km = 0.345 *1000 = 345 m

5)   1.7m cm = 1.7 * 10 = 17 mm

Answer: look up zodiac signs and if that dont work look up ailian signs

Step-by-step explanation:

Thus, it takes 1.5 minutes {30 seconds} for filling a 3-litre bowl

Answer: the neutral rho meson has a longer life span because it has 1.5x more than the other one

Step-by-step explanation:

We should allocate the workers as follows: {HLH,LHL} {HLL,LHH} {HHH,LLL} to get the maximum output.

The O-ring model states that production output depends on the quality of each worker. The quality of the final product is determined by the lowest quality worker working on the project.

In the given case, we have two types of workers: H-type and L-type.

The H-type workers have a quality of q=0.6, and the L-type workers have a quality of q=0.4.

We are to determine how to allocate the workers to get the maximum output.

The answer is all of the above.{HLH,LHL} {HLL,LHH} {HHH,LLL} is the allocation we need to get maximum output.

Here's how we arrive at the solution:

For the O-ring model, we need to group the workers in a way that minimizes the number of low-quality workers in a group.

We can have two possible groupings as follows:

{HLH,LHL} - This group has a minimum q of 0.4, which is the quality of the L-type worker in the middle of the group.

{HLL,LHH} - This group also has a minimum q of 0.4, which is the quality of the L-type worker on the left of the group.

The other grouping, {HHH,LLL}, has all low-quality workers in one group and all high-quality workers in another group. This is not ideal for the O-ring model as the low-quality workers will negatively affect the output of the high-quality workers.

Thus, to get the maximum output, we should allocate the workers as follows:

{HLH,LHL} {HLL,LHH} {HHH,LLL} all of the above

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Answer:

What are the choices and what grade level going to 4th-12th

Step-by-step explanation:

The speed is the distance covered by an object at a particular time. It will take 1 and seven-tenths of the day to reach San Francisco.

The speed is the distance covered by an object at a particular time. Therefore, it is the ratio of distance and time.

Speed = Distance Covered / Time taken

Given that the speed during the entire journey is 60 miles per hour and you drive for 8 hours per day. Therefore, the distance that you can cover in a day is,

Distance covered in a day = Speed × Time

                                            = 60 miles per hour × 8 hours per day

                                            = 480 miles per day

Now, by road the distance between Washington, DC, and San Francisco, California is 812.5 miles. Therefore, the number of days it would take to reach San Francisco is,

Number of days

= Total Distance to be Covered / Distance covered in a day

= 812.5 miles / 480 miles per day

= 1.7 days

Hence, it will take 1 and seven-tenths of the day to reach San Francisco.

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Answer: The answer is one! please mark brainest

Step-by-step explanation:

Collinearity has colorful activities in almost the same important areas as math and computers.

To find BC on the line AC, subtract AC from AB. And so, BC = AC - AB = 13 - 10 = 3. Given collinear points are A, B, C.

We reduce the length AB by the length AC to get BC because B lies between two points A and C.

In a line like AC, the points A, B, C lie on the same line, that is AC.

So, since AC = 13 units, AB = 10 units. So to find BC, BC = AC- AB = 13 - 10 = 3. Hence we see BC = 3 units and hence the distance between two points B and C is 3 units.

In the figure, when two or more points are collinear, it is called collinear.

Alignment points are removed so that they lie on the same line, with no curves or wandering.

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Answer:

y = (x - 4)(x + 3)

Step-by-step explanation:

given a quadratic function with solutions x = a and x = b then the factors are (x - a) and (x - b)

the function is then the product of the factors

here solutions are x = 4 and x = - 3 , then factors are

(x - 4) and (x - (- 3) ) , that is (x - 4) and (x + 3)

the quadratic function is then

y = (x - 4)(x + 3) ← expand the factors using FOIL

y = x² + 3x - 4x - 12

y = x² - x - 12

The predicted value of y when x = 3, based on the least-squares regression line equation y = 50 - 15x, is y = 50 - 15(3) = 5.

The given least-squares regression line equation y = 50 - 15x represents a linear relationship between the variables x and y. In this equation, the coefficient of x (-15) represents the slope of the line, and the constant term (50) represents the y-intercept.

To find the predicted value of y when x = 3, we substitute x = 3 into the equation and solve for y. Plugging in x = 3, we have y = 50 - 15(3). Simplifying this expression, we get y = 50 - 45 = 5.

Therefore, when x = 3, the predicted value of y based on the least-squares regression line is 5. This means that according to the regression line, when x is 3, the expected or estimated value of y is 5.

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The perimeter of the rectangle, when the area is maximized, is approximately 24.63 units. Therefore, correct option is a.

To maximize the area of the rectangle inscribed in the parabola \(y^2 = 16x\), we need to find the dimensions of the rectangle. Since the side of the rectangle is along the latus rectum of the parabola, we know that the length of the rectangle is equal to the latus rectum.

The latus rectum of the parabola \(y^2 = 16x\) is given by the formula 4a, where "a" is the distance from the focus to the vertex of the parabola. In this case, the focus is located at (4a, 0).

To find "a," we can equate the equation of the parabola to the general equation of a parabola in vertex form: \(y^2 = 4a(x - h)\), where (h, k) is the vertex of the parabola.

Comparing the two equations, we get:

4a = 16

a = 4

Therefore, the latus rectum of the parabola is 4a = 4 * 4 = 16 units.

Since the length of the rectangle is equal to the latus rectum, we have length = 16 units.

Now, to find the width of the rectangle, we need to determine the corresponding y-coordinate on the parabola for the given x-coordinate of the latus rectum. The x-coordinate of the latus rectum is half the length, which is 16/2 = 8 units.

Substituting x = 8 into the equation of the parabola, we get:

\(y^2 = 16(8)\\y^2 = 128\\y = \sqrt{128} = 11.31\)

Therefore, the width of the rectangle is approximately 11.31 units.

The perimeter of the rectangle is given by the formula:

Perimeter = 2(length + width)

Plugging in the values, we have:

Perimeter = 2(16 + 11.31)

Perimeter ≈ 2(27.31)

Perimeter ≈ 54.62

Rounding the perimeter to two decimal places, we get approximately 54.62 units, which is equivalent to 24.63 units.

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Answer:

29 and 12

Step-by-step explanation:

x + y = 41

x - y = 17

Adding the two equations:

x + y + x - y = 41+17

2x = 58

x = 58/2

x = 29

Substituting 'x' into the first equation:

29 + y = 41

y = 41-29

y = 12

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Yes, when graphing two variables and observing an upward slope as you move from left to right, it indicates a positive relationship between the variables.

As one variable increases, the other variable also tends to increase. This positive correlation can be visually represented by a line that slopes upward in a graph. It implies that there is a direct and proportional relationship between the variables being studied.

But downward-sloping line indicate a negative relationship, where as one variable increases, the other variable tends to decrease. The slope of the line provides insights into the magnitude and direction of the relationship between the variables.

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Answer:

D all real numbers

Step-by-step explanation:

Hope this helped

Answer:

17.2 feet

Step-by-step explanation:

The length of the ladder is 20.4 feet.

Heights and Distances is a study about the applications of Trigonometry. It has many real-life applications, such as measuring the object’s height, depth of the object, the distance between two celestial objects etc. The formulas and the ratios of trigonometry are helpful in the study of heights and distances.

Given that, the angle of elevation of the ladder is 73° when the bottom of the ladder is 15 feet from the side of the house.

Let the height of side of a house be x.

Now, tan73°=x/15

x/15=0.9192

x=0.9192×15

x=13.8 feet

Let the length of the ladder be y.

y²=15²+13.8²

y²=415.44

y=√415.44

y=20.4 feet

Therefore, the length of the ladder is 20.4 feet.

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Answer:

When x=4, ln x-ln y=y-4, so ln 4-ln 4=4-4, which is true. Therefore, when x=4, y=4, and dy/dx=0.

Step-by-step explanation:

So, when x = 4, the value of the differentiable function dy/dx is 0.

A differentiable function of one real variable is one that has a derivative at each point in its domain. In other words, a differentiable function's graph has a non-vertical tangent line at each interior point in its domain.

Here,

Given the equation ln x - ln y = y - 4, we can rearrange it to get ln(x/y) = y - 4. Taking the derivative of both sides with respect to x using the chain rule:

d/dx (ln(x/y)) = d/dx (y - 4)

(1/x) (dx/dx) - (1/y) (dy/dx) = dy/dx

dy/dx = (1/y) (dx/dx) + (1/x) (dy/dx) = (1/y) + (1/x) (dy/dx)

Rearranging and solving for dy/dx:

(x/y) (dy/dx) = (1/y) - (1/x)

dy/dx = (x/y^2) (1/x - 1/y) = (x/y^2) (1/x - 1/y)

We can substitute x = 4 and y = 4 into the expression to find the value of dy/dx when x = 4:

dy/dx = (4/16) (1/4 - 1/4) = 0

So, the value of differentiable function dy/dx when x = 4 is 0.

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The increase in the national debt from 2005 to 2015 using scientific notation is 1.3176 × 10^13.

Scientific notation simply means a way of expressing numbers that are either too large or too small.

The U.S. national debt was 1.815 x 10^13 dollars on September 30, 2015 and in September 29,

2005, the national debt was 4.974 x 10^12 dollars.

The increase will be the difference between the two notations. This will be:

= 1.815 x 10^13 - 4.974 x 10^12

= 1.3176 × 10^13

The increase is 1.3176 × 10^13.

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The required respective increase in the national debt of America for the period 2005 to 2015 is 1.3176 × 10¹³.

As of the given condition,
According to the United States Treasury Department, the U.S. national debt was 1.815 x 10^13 dollars on September 30, 2015. On September 29, 2005, the national debt was 4.974 x 10^12 dollars.

Here,
The required increase in the debt is evaluated as the arithmetic difference of the debt in the years 2015 and 2005.

So.
Increase in debt = 1.815 × 10¹³ - 0.4974 × 10¹³ = 1.3176 × 10¹³

Thus, the required respective increase in the national debt of America for the period 2005 to 2015 is 1.3176 × 10¹³.

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