Write the next three terms of the geometric sequence -2, 4, -8, 16, …

The volume of the pyramid is V = [tex]\frac{h}{3}(5.2) cm^{3}[/tex]  or  V = 1.73h [tex]cm^{3}[/tex] .

In mathematics, 'Volume' is a mathematical quantity that shows the amount of three-dimensional space occupied by an object or a closed surface. The unit of volume is in cubic units such as m3, cm3, in3 etc.

we know that,

The volume of the pyramid is equal to

V = [tex]\frac{1}{3} BH[/tex]

where,

B is the area of the base and

H is the height of pyramid

In this problem we have,

B = 5.2 [tex]cm^{2}[/tex]

H = h cm

substitute in the formula in V = [tex]\frac{1}{3} BH[/tex] ,

V = [tex]\frac{1}{3}[/tex]  × 5.2 × h

V = [tex]\frac{h}{3}(5.2) cm^{3}[/tex]

or

V = 1.73h [tex]cm^{3}[/tex]

Therefore, the volume of the pyramid is V = [tex]\frac{h}{3}(5.2) cm^{3}[/tex]  or  V = 1.73h [tex]cm^{3}[/tex] .

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The volume of the solid right pyramid is given as V=  1/3(b*h) and hence volume(V) is equals to h/3(5.2) cm^3 or 1.73h cm^3

In solid right pyramid volume is given by the product of base of the area and the height of the solid pyramid  and it is divided by 3 and volume is defined as the 3-dimensional  area covered by the solid right pyramid . so volume is the product of the base of the area and the height and it is divided by 3

So , here "b" is the base of the area

"h" is the height of the solid right pyramid

We have ,base B=5.2 cm^2

height H= h cm

As , Volume is given by the product of the base and height of the right pyramid and it is divided by 3 , we used to solve the volume as

V=1/3 (5.2 * h) cm^3=(h/3)(5.2) cm^3

V=1.73 h cm^3

So, the volume of the solid right pyramid is given by V=h/3 (5.2) cm^3 or V=1.73 h cm^3

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The length of the rectangular swimming pool is, 50 m.

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

We have to given that;

A rectangular swimming pool has a perimeter of 150 m.

And, The length of the pool is twice the width of the pool.

Now, Let the width of the pool = x

Then, The length of the pool = 2x

We know that;

Perimeter of rectangle = 2 (Length + Width)

Substitute all the given values, we get;

⇒ 150 = 2 (2x + x)

⇒ 150 = 2 × 3x

⇒ 150 = 6x

⇒ x = 150 / 6

⇒ x = 25

Thus, The length of the rectangular swimming pool = 2x

                                                                               = 2 × 25

                                                                               = 50 m

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According to the information, the options that correspond to the possible scale copies of the original rectangle would be 4.5 in. by 1.5 in. yes, 13.5 in. by 4.5in. Yes, and 90 in. by 30in. Yeah.

To calculate the possible scales we must carry out the following procedure: First we must make a division between the two lengths of the sides of the rectangle:

9 / 3 = 3

So, the relationship between these two lengths would be 3. Now we just have to check which options follow this proportional relationship. According to this procedure they would be the following:

4.5in. by 1.5in

13.5in. by 4.5in

90 in. by 30in

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Answer:

Step-by-step explanation:

Alice starts with 11 cards and buys 1 per day. Benito starts with 1 card and buys 3 per day. You want equations for Alice and Benito that describe the number of cards they have (y) in terms of the number of days (x) that have passed. you also want graphs of these equations and when and where the numbers of cards are the same.

It really should be no mystery that the number of cards will be the sum of the initial number and the product of the number of days and the number of cards acquired each day:

Alice: y = 11 +1x

Benito: y = 1 +3x

See the attachment for a graph and the point where the graphs intersect:

  x = 5, y = 16 . . . . . both have 16 cards after 5 days.

__

Additional comment

The equations are defined for negative x- and y-values, but in the context of this problem the only values that make sense are ones where x ≥ 0 and y > 0.

It's definitely one of the more rewarding survival experiences that has hit the platform.

Is Into the Radius VR worth it?

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The fourth vertex of the rectangle using the coordinate plane is; (4, 21)

The three coordinates of the rectangle are expressed as;

(21, 21)

(21, 1)

(4, 1)

Now, when we tal about a rectangle, it is pertinent to note that two points must have the same y coordinates while two points must also have the same x -coordinates because the two parallel sides of a rectangle are equal.

Thus, we already have two sides with 21 as x-coordinate but only one with 4 as x-coordinate and as such the fourth point will have 4 as x-coordinate.

Similarly, only one point has 21 as y-coordinate and as such the fourth point will have its' y-coordinate as 21.

(4, 21)

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The 10-year to 3-month term premium will be 0.079%.

Now, According to the question:

The premiums that are the regularly scheduled installments that are finished to pay the inclusion of the insurance contract are less expensive in term life coverage than in real money life coverage as the term just covers the recipients for the period the contract is purchased for instance: a half year. On the off chance that the individual who claims the arrangement passes on in a half year, the insurance agency needs to pay the recipients the capital set in the strategy.

Anyway assuming the individual passes on after the a half year or doesn't bite the dust the insurance agency pay nothing to the buyer of the strategy.

In the money life coverage the individual gets one last installment though the individual lives or passes on as the strategy goes about as a saving arrangement.

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The complete question is:

What is the 10-year to 3-month term premium of the following yield curve?

1.6256 Meters in 5 foot 4 inches

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There are 1.6256 Meters in 5 foot 4 inches

As a result, multiplying a measurement by 12 will convert it from feet to inches. Since it is an exact number, there will be no restrictions on utilising significant figures.

Conversion of feet to inches where both length measurement units are in the imperial system. the standard unit for centimetre length measurements. Twelve inches are equivalent to one foot.

This is also how tall I am because I'm 5'7". I would first convert the feet to inches using the closest I can remember conversion factor of 2.54 centimetres to 1 inch.

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The equivalent exponential expression to 10^5/10² is given as follows:

10³.

The exponential expression for this problem is defined as follows:

10^5/10².

When two terms with the same base and different exponents are divided, we keep the base and subtract the exponents.

The subtraction of the exponents in this problem is given as follows:

5 - 2 = 3.

Hence the equivalent exponential expression to 10^5/10² is given as follows:

10³.

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There were 128 children and 155 adults.

Let us first set up our system by assigning x and y to mean something. Let x = the number of children and y = the number of adults.

First equation: Children cost $1.50 and Adults cost $4.00. In order to find the amount of money a group of children will cost, we multiply the number of children, x, by 1.5.

This is represented by 1.5x. For adults, who cost 4 dollars to enter, we will use 4y. The total amount of money made on the given day was $632. To get this amount, we must add 1.5x and 4y.

1.5x+4y=632 --------(1)

Second equation: Total amount of people on the given day is 238. To get this number, we must add together x and y, or the number of children and adults.

x + y = 238-----(2)

System of equations:

1.5x+4y=632

x+y = 238

Let's use the substitution of the x variable to solve the system.

x+y=238.

y=238-x

Substitute y = 238 - x into the first equation.

1.5x + 4 (238 - x) =632

1.5x + 952 - 4x = 632  

952- 2.5x = 632

-2.5x = -320

x = 128

Substitute x =128 back into y = 238 - x

y = 283-128

y=155

There were 128 children and 155 adults.

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The probability of X being greater than Y is equal to 1 minus the probability of X being less than or equal to Y multiplied by the probability of Y being less than or equal to X, which can be expressed as 1 minus (1 - e^(-(λ1 + λ2)t))/2, or e^(-(λ1 + λ2)t)/2.

P(X > Y) = 1 - P(X ≤ Y) = 1 - (1 - e^(-(λ1 + λ2)t))/2 = e^(-(λ1 + λ2)t)/2

1. P(X > Y) = 1 - P(X ≤ Y)

2. P(X ≤ Y) = P(X ≤ Y ∩ Y ≤ X)

3. P(X ≤ Y ∩ Y ≤ X) = P(X ≤ Y)P(Y ≤ X) (Since X and Y are independent)

4. P(X ≤ Y) = 1 - P(X > Y)

5. P(Y ≤ X) = 1 - P(Y > X)

6. P(X > Y) = 1 - P(X ≤ Y)P(Y ≤ X)

7. P(X > Y) = 1 - (1 - e^(-(λ1 + λ2)t))/2

8. P(X > Y) = e^(-(λ1 + λ2)t)/2

The probability of X being greater than Y is equal to 1 minus the probability of X being less than or equal to Y. Since X and Y are independent, the probability of X being less than or equal to Y and Y being less than or equal to X is equal to the product of the probabilities of X being less than or equal to Y and Y being less than or equal to X. The probability of X being less than or equal to Y is equal to 1 minus the probability of X being greater than Y, and the probability of Y being less than or equal to X is equal to 1 minus the probability of Y being greater than X. Therefore, the probability of X being greater than Y is equal to 1 minus the probability of X being less than or equal to Y multiplied by the probability of Y being less than or equal to X, which can be expressed as 1 minus [tex](1 - e^(-(λ1 + λ2)t))/2, or e^(-(λ1 + λ2)t)/2.[/tex]

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When written in reduced row echelon​ form, any 3 ×2 matrix will have at least one row of all zeros. When solving Ax=b​, that row will represent an equation with a zero on the left side and a possibly nonzero entry of b on the right side.

This means that there is no solution for the equation Ax=b for that specific b, making the system inconsistent.

Generalizing this argument to the case of an arbitrary A with more rows than columns, if the number of rows in A is greater than the number of columns, the reduced row echelon form of A will have at least one row of all zeros, and the corresponding equation in Ax=b will have no solution, making the system inconsistent for that specific b.

Hence, the correct answer is B.

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--The given question is incomplete; the complete question is

"Let A be a 3 times ×2 matrix. Explain why the equation Ax=b cannot be consistent for all b in a set of real numbers R3.

Generalize your argument to the case of an arbitrary A with more rows than columns.

Why is the equation Ax=b not consistent for all b in a set of real numbers R3​?

A. When written in reduced row echelon​ form, any 3 ×2 matrix will have at least one column of all zeros. Since there is not a pivot in every​ column, the matrix cannot be consistent.

B. When written in reduced row echelon​ form, any 3 ×2 matrix will have at least one row of all zeros. When solving Ax=b​, that row will represent an equation with a zero on the left side and a possibly nonzero entry of b on the right side.

C. When written in reduced row echelon​ form, any 3 ×2 matrix will have at least one row of all zeros. When solving Ax=b​, that row will represent an equation with infinitely many solutions.

D. When written in reduced row echelon​ form, any 3 ×2 matrix will have a pivot in every row. Because there are more rows than​ columns, this is too many​ pivots, and the system will be inconsistent."--

The price of a t-shirt is $43.50.

Let's call the price of a t-shirt "t" and the price of a pair of jeans "j".

For David:

4t + 3j = 181

For Jennifer:

t + 2j = 94

We can use these two equations to solve for t and j. Subtracting the second equation from the first, we have:

3t + j = 87

Next, we can substitute the second equation into the third equation to eliminate t:

3(t + 2j) = 3 * 94 = 282

Expanding the left side, we have:

3t + 6j = 282

Subtracting j from both sides:

3t + 5j = 282 - j

Combining like terms:

3t + 6j = 282

Subtracting the first equation from the third equation:

2t = 181 - 94

Combining like terms:

2t = 87

Finally, solving for t:

t = 87 / 2 = 43.5

The price of a t-shirt is $43.50.

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The price of a t-shirt is $43.50.

Let's call the price of a t-shirt "t" and the price of a pair of jeans "j".

For David:

4t + 3j = 181

For Jennifer:

t + 2j = 94

We can use these two equations to solve for t and j. Subtracting the second equation from the first, we have:

3t + j = 87

Next, we can substitute the second equation into the third equation to eliminate t:

3(t + 2j) = 3 * 94 = 282

Expanding the left side, we have:

3t + 6j = 282

Subtracting j from both sides:

3t + 5j = 282 - j

Combining like terms:

3t + 6j = 282

Subtracting the first equation from the third equation:

2t = 181 - 94

Combining like terms:

2t = 87

Finally, solving for t:

t = 87 / 2 = 43.5

The price of a t-shirt is $43.50.

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As the y variable tends to increase when the x variable increases, we say the variables have a positive correlation. When the y variable tends to decrease as the x variable rises, we say there is a negative correlation between the variables.

A graph is a visual representation or diagram that displays facts or values in an organized manner in mathematics.

The points on a graph are typically used to depict the relationships between two or more things.

Making a diagram that shows the link between two or more objects is known as developing a graph.

Scatterplots frequently reveal relationships or trends.

We say there is a positive correlation between the variables when the y variable tends to rise when the x variable rises.

We say there is a negative correlation between the variables when the y variable tends to decline as the x variable rises.

Therefore, a y variable tends to increase when the x variable increases, we say the variables have a positive correlation. When the y variable tends to decrease as the x variable rises, we say there is a negative correlation between the variables.

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H(u) = u arctan(x) - (1) arctan(t) dt is obtained by integrating u arctan(t) with respect to t from 1 to x.

The original function h(x) = 1/x arctan(t) dt can be rewritten as h(u) = u arctan(t) dt by substituting u = 1/x. This is accomplished by substituting 1/u for each instance of x in the original equation.

The result of integrating this equation from 1 to x with regard to t is h(u) = u arctan(x) - (1) arctan(t) dt. The integral of u arctan(t) from 1 to x less the integral of arctan(t) from 1 to x can be used to represent this. The integration variable for the first integral is u, while the variable for the second integral is t.

By adding u = 1/x to the equation, the value of h(u) can then be utilised to determine the value of h(x). To accomplish this, all occurrences of u are replaced.

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Each of the following events result in a tax payment, an example of a direct tax is D. Javier owes money to the federal government based on job earnings.

A direct tax is one that is paid by an individual or group of individuals directly to the body that levied it. Taxes on assets, real estate, personal property, and income are a few examples that are all paid by an individual taxpayer directly to the government.

Direct taxes are those that you pay to the government directly. You have paid a direct tax, for instance, if you pay income tax, property tax, or capital gains tax. On the other side, an indirect tax is when you make a purchase and someone else subsequently pays the tax on your behalf through a sales tax.

Therefore, option D is correct.

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The component that is missing from the biologist's process is:

c) The biologist did not randomly assign each of the bats to the treatment groups.

When carrying out a research study where you have groups created that you want to study, differences between and within groups can be satisfactory ensuring that they are not systematic when subjects are randomly assigned to groups.

Given, A biologist wonders if the life span of bats will be affected by two new food sources from invasive species moving into an area.

a group where the diet will not include invasive species (control), a group where the diet will include one invasive species (treatment group 1), and another group where the diet will include the other invasive species (treatment group 2).

Thus, it gives the researcher the confidence that groups are the same in terms of variables, and any differences can be confidently ascribed to experimental treatments.

Therefore, the component that is missing from the biologist's process is: c. The biologist did not randomly assign each of the bats to the treatment groups.

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The value of x is15

The value of y is 20

The value of z is 58.

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

ΔWXY ≈ ΔQRS

This means,

Consecutive sides and angles are equal.

15 + x = 30

x = 30 - 15

x = 15

y = 20

40 = z - 18

z = 40 + 18

z = 58

Thus,

x = 15

y = 20

z = 58

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No, the mean of 13.513.5 does not make sense because it is not a whole number.

The mean of a set of numbers is calculated by adding up all of the numbers in the set and then dividing by the total number of items in the set. The mean is a representation of the average of the data set. It is important to note that the mean should always be a whole number, since it is an average of the values in the set. Therefore, the mean of 13.513.5 does not make sense because it is not a whole number. A whole number mean indicates that the values in the set are all the same, or at least very close, while non-whole number means indicate that there is a greater difference between the values in the set. This is why it is important to make sure the mean of a data set is a whole number.

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The complete question is

Does the value of the mean of x make sense? the mean of 13.513.5 does not make sense because it is not a whole number

The two choices that reflect one for the center and one for the spread are:

A. Better measure of spread: the interquartile range (IQR)

B. Better measure of center: the median

For the first data set, the values appear to be unordered, so it would be difficult to determine the mean. The median is a more appropriate measure of center for this data set, as it would provide a value that separates the data into two halves.

The interquartile range (IQR) is a better measure of spread for this data set, as it provides a robust measure of spread that is less sensitive to outliers. The IQR is the difference between the 75th percentile and the 25th percentile of the data, and it provides a measure of the spread of the middle 50% of the data.

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If the dot indicates the center of the circle, the equation that must be true is

The diameter of the semicircle is shown by line segment bearing the dot at the center.

By drawing a line from each end of the diameter to any location on the semicircle, the inscribed angle is created anywhere you perform this is a 90-degree angle will result.

This mean that angle B = angle A = 90 degrees

hence there addition is 180 degrees

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The yummy bakery sold 216 roles and oh so good bakery sold 523 roles.

Given is that yummy bakery and oh so good bakery had a contest with these results: yummy sold 9 fewer rolls than twice what oh so good sold. together they sold a total of 639 rolls.

We can write the relation as -

2x - 9 + x = 639

3x - 9 = 639

3x = 648

x = 216

So, we can write -

2x - 9 = 2 x 216 - 9 = 532 - 9 = 523

Therefore, the yummy bakery sold 216 roles and oh so good bakery sold 523 roles.

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The final price is 97.714% of the original price. To the nearest whole number, that's 98%.

Let's call the final price of the bed "x".

       $350 * 0.15 = $52.50$ discount

       $297.50 * 0.15 = $44.63 markup

       $342.13 / $350 = 0.97714

So, the final price is 97.714% of the original price.

To the nearest whole number, that's 98%.

The method used to solve this problem is applicable to a wide range of similar problems in pricing and discounting, as well as in finance and economics. This method can be used to calculate the final price of an item after applying a discount followed by a markup, or to find the original price of an item given the final price and the discount and markup amounts. The method can also be extended to problems with multiple discounts or markups, as well as problems involving different discount or markup percentages.

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Answer:

[tex] \red{ \boxed{\sf{c = 0.81s}}}[/tex]

Step-by-step explanation:

(total cos t) = k (songs)

total cost / songs = k

8.1/10 = k

0.81 = k

now substitute 0.81 in for k in your equation

c = 0.81s

follow..

The mean, median, standard deviation, and interquartile range for each data set is given below.

The IQR is a measure of the middle 50% of values when they are organized from lowest to highest. To get the interquartile range, find the median (middle value) of the lower and upper half of the data (IQR).

These are the values for the quartiles 1 (Q1) and 3 (Q3). The IQR is the distinction between Q3 and Q1.

Using the statistical tool, the following were arrived at for Manuel:

Standard Deviation = 3.13961

Mean = 8

Median = 8

IQR = Q3-Q1 = 10 - 6 = 4

Using the statistical tool, the following were arrived at for Gretchen:

Standard Deviation = 4.68737.

Mean = 9.6

Median = 9

IQR = IQR = Q3-Q1 = 12 - 7 = 5.

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the function is defined on the interval [0,1], we must have 0 ≤ x ≤ 1. Therefore, the value of x for which[tex]f'(x)=0 is x = 0.[/tex]

To find the value of x for which[tex]f'(x)=0[/tex], we need to differentiate the given function.

[tex]f'(x) = (e-1)(π/2)(ex)(cos(π/2x)) - (sin(π/2x))[/tex]

Now, set [tex]f'(x) = 0[/tex]and solve for x.

[tex](e-1)(π/2)(ex)(cos(π/2x)) - (sin(π/2x)) = 0(e-1)(π/2)(ex) = (sin(π/2x))ex = (sin(π/2x))/(e-1)(π/2)[/tex]

Taking natural log on both sides

[tex]xln(e) = ln(sin(π/2x)) - ln((e-1)(π/2))xln(e) = ln(sin(π/2x)) - ln(e-1) - ln(π/2)x = (ln(sin(π/2x)) - ln(e-1) - ln(π/2))/ln(e)[/tex]

Since the function is defined on the interval [0,1], we must have 0 ≤ x ≤ 1.

Therefore, the value of x for which [tex]f'(x)=0 is x = 0.[/tex]

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if |v| = 4 and |w| = 7, what are the smallest and the largest possible values of |v − w|

smallest and the largest possible values of v · w

v and w are vectors, not numbers. v*w indicates the dot product of these vectors and l v l and l w l their magnitudes.

Assuming v and w are vectors with any direction but with definite magnitudes

||v − w|| ≤ ||v|| + ||w|| = 11

and ||v − w|| ≥ ||v|| − ||w||| = 3,

while

|v · w| = ||v||||w|| cos θ ≤ ||v|| · ||w|| = 28,

so −28 ≤ v · w ≤ 28.

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The general solution to the differential equation d(r)/dt = 5tln(t) is: r = (5/2)t^2ln(t) - 5te^5 + C.

The general solution to the differential equation d(r)/dt = 5tln(t) can be found using the method of integrating factors.

First, we find the integrating factor:

I = e^∫5ln(t)dt = e^(5t - 5)

Next, we multiply both sides of the equation by the integrating factor:

I * d(r)/dt = I * 5tln(t)

Now, we can integrate both sides of the equation:

∫I * d(r)/dt = ∫I * 5tln(t)dt

Using the substitution u = r and du/dt = d(r)/dt, we can simplify the left side of the equation:

du/dt = I * d(r)/dt

And on the right side, we use integration by parts:

∫I * 5tln(t)dt = (5/2)t^2ln(t) - 5te^5 + C

Finally, we can solve for r:

r = (5/2)t^2ln(t) - 5te^5 + C

The general solution to the differential equation d(r)/dt = 5tln(t) is:

r = (5/2)t^2ln(t) - 5te^5 + C.

Note that C is an arbitrary constant and represents the freedom in choosing the initial conditions for the solution.

Therefore, The general solution to the differential equation d(r)/dt = 5tln(t) is: r = (5/2)t^2ln(t) - 5te^5 + C.

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