Containers are stacked in 20 rows, putting 2 in the top row, 5 in the second row, 8 in the third row, and so on. How many containers are in the pile? help me
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Answer:

~0.02% chance

Step-by-step explanation:

coin: 1/2 chance

dice: 3/6 chance

cards: 4/52 chance

1/2x3/6x4/52 = 0.02% percent chance

Answer:

width = 5 in

length = 17 in

Step-by-step explanation:

Area of a rectangle = length x width

width = w

length = 2 + 3w

85 = (w) x (2 + 3w)

85 = 2w + 3w³

this can be solved using quadratic equation

3w³ + 2w - 85 = 0

factors of 3w³ x -85 that add up to 2w are : +17 w and -15w

(3w³ - 15w) (17w - 85) = 0

3w(w - 5) 17(w - 5) 0

w = 5

or w = - 17/3

the width cannot be a negative number. the correct width is 5 in

Length = 2 x 3(5) = 17 inches

The probability that the first card is a 4, the second card is a club, and the third card is a 2 is equals to 6/5,525.

We have a standard deck has 52 cards. Three cards are dealt randomly from a standard deck. It is assumed that the cards are not changed after the transaction. Since there are four 4s in the deck of cards, the probability of rolling a 4 = 4/52. Now, the second dealt card is "club". The probability that the second card will be a club is = 13/52.

However, we have already drawn 1 card, which was a 4. This means that out of 51 cards, only 12 club cards remain. Thus the probability of club cards = 12/51. The third card can now be a 2. Therefore, the probability of falling third card will be a 2 = 3/50 (since two cards already dealt so total = 50 and one drawn card is a 4 then remaining= 3).

So, the overall probability = 4/52 x 12/51 x 3/50 =144/132,600 = 6/5,525.

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Complete question:

Three cards are dealt at random from a standard deck of 52 cards. What is the probability that the first card is a 4, the second card is a club, and the third card is a 2?

Answer:

She is struggling with addition of double-digit numbers

Step-by-step explanation:

She could benefit from a written explanation of vertical addition

Answer:

Step-by-step explanation:

43x^15+43x^5= 43x^20

Answer:

Yes, it is correct

Step-by-step explanation:

If the temperature did not drop below 60 degrees, that means that it only stayed at 60 degrees or was higher than 60 degrees.

D is greater than or equal to 60 is the right inequality then.

There are 362,880 ways to select 9 players for the starting lineup and a batting order for the 9 starters based on the concept of combinations.

To calculate the number of ways to select 9 players for the starting lineup, we need to consider the combination formula. We have to choose 9 players from a pool of players, and order does not matter. The combination formula is given by:

\(C(n, r) =\frac{n!}{(r!(n - r)!}\)

Where n is the total number of players and r is the number of players we need to select. In this case, n = total number of players available and r = 9.

Assuming there are 15 players available, we can calculate the number of ways to select 9 players:

\(C(15, 9) = \frac{15!}{9!(15 - 9)!} = \frac{15!}{9!6!}\)

To determine the batting order, we need to consider the permutations of the 9 selected players. The permutation formula is given by:

P(n) = n!

Where n is the number of players in the batting order. In this case, n = 9.

P(9) = 9!

Now, to calculate the total number of ways to select 9 players for the starting lineup and a batting order, we multiply the combinations and permutations:

Total ways = C(15, 9) * P(9)

          = (15! / (9!6!)) * 9!

After simplification, we get:

Total ways = 362,880

There are 362,880 ways to select 9 players for the starting lineup and a batting order for the 9 starters. This calculation takes into account the combination of selecting 9 players from a pool of 15 and the permutation of arranging the 9 selected players in the batting order.

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Johnathan deposited money into an account that earns a 9.25% interest rate. The following explanation explores the details of this scenario and how the interest would accumulate over time.

When Johnathan deposits money into an account that earns a 9.25% interest rate, he can expect his balance to increase over time due to the interest earned. The interest rate of 9.25% signifies that for every dollar he deposits, the account will accrue an additional 9.25 cents per year. This interest can compound over time, meaning that not only the initial deposit but also the accumulated interest will earn further interest.

To calculate the growth of Johnathan's account, we need additional information such as the initial deposit amount and the duration of the investment. For example, if he deposited $10,000 into the account, after one year, the account would accrue $925 in interest, resulting in a total balance of $10,925. If the interest is compounded annually, the interest earned in the second year would be based on the new balance of $10,925.

Over an extended period, the compounding effect of the interest can significantly increase Johnathan's balance. However, the rate of growth would depend on factors such as the frequency of compounding (annual, semi-annual, quarterly, or monthly) and the duration of the investment. By utilizing compound interest, Johnathan has the potential to accumulate substantial earnings on his initial deposit over time, making it an advantageous choice for long-term savings or investments.

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Answer:

5/2; 5

Step-by-step explanation:

The first box is m, which is the slope. To find the slope you do rise over run, so basically the change in x and y. You move up 5 and over 2, so m would be 5/2.

The second box is b, which is the y-intercept. To find the y-intercept, you just find where the line crosses the y-axis. That would be 5

among the given options, the use of correlational statistics OPTION B is the most reliable indicator that a study employed a bivariate correlational design.

A bivariate correlational design is characterized by the examination of the relationship between two quantitative variables. In this context, the use of correlational statistics is a key indicator of this design. Correlational statistics, such as correlation coefficients (e.g., Pearson's r), are employed to assess the strength and direction of the relationship between the variables under investigation.

The presence of measured variables, inclusion of quantitative variables, or depiction of a bar graph are not definitive indicators of a bivariate correlational design. Measured variables can be present in various study designs, including experimental ones. Similarly, quantitative variables can be utilized in different types of studies, such as experimental, quasi-experimental, or observational designs. The depiction of a bar graph, which is commonly used to illustrate categorical data, does not inherently imply the use of a bivariate correlational design.

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Based on the provided information, the y-intercept of AB is 4/3. The equation of BC is y = 6x - 11. If the y-coordinate of point C is 13, the x-coordinate is 4.

Given that the coordinates of A and B are (14, -1) and (2, 1), respectively, we can find the slope of AB by using the formula:

Slope = (y2 - y1) / (x2 - x1)

= (1 - (-1)) / (2 - 14)

= 2 / (-12)

= -1/6

Now, we can use the point-slope form to find the equation of AB:

y - y1 = m(x - x1)

y - 1 = -1/6(x - 2)

y - 1 = -1/6x + 1/3

y = -1/6x + 4/3

The y-intercept of AB is 4/3.

To find the equation of BC, we need to find the slope of BC. Since AB and BC form a right angle at their point of intersection, B, the slope of BC is the negative reciprocal of the slope of AB.

Slope of BC = -1 / (-1/6)

= 6

Now, we can use the point-slope form to find the equation of BC:

y - y1 = m(x - x1)

y - 1 = 6(x - 2)

y - 1 = 6x - 12

y = 6x - 11

The equation of BC is y = 6x - 11.

Finally, to find the x-coordinate of point C, we can plug in the y-coordinate of 13 into the equation of BC and solve for x:

13 = 6x - 11

24 = 6x

x = 4

Therefore, the x-coordinate of point C is 4.

Note: The question is incomplete. The complete question probably is: AB and BC form a right angle at their point of intersection, B. If the coordinates of A and B are (14, -1) and (2, 1), respectively. What is the y-intercept of AB? What is the equation of BC. If the y-coordinate of point c is 13, what is its x coordinate?

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sorry I don't know anything or how to help

Answer:

  √3 is irrational

Step-by-step explanation:

The location of the third point of a triangle can be found using a rotation matrix to transform the coordinates of the given points.

With reference to the attached figure, the slope of line AC is √3, an irrational number. This means the line AC never passes through a point with integer coordinates. (Any point with integer coordinates would be on a line with rational slope.)

The line segments making up an equilateral triangle are separated by an angle of 60°. If two vertices are on grid squares, the third must be a rotation of one of them about the other through an angle of 60°. The rotation matrix is irrational, so the rotated point must have irrational coordinates.

The math of it is this. For rotation of (x, y) counterclockwise 60° about the origin, the transformation matrix is ...

  \(\left[\begin{array}{cc}\cos(60^\circ)&\sin(60^\circ)\\-\sin(60^\circ)&\cos(60^\circ)\end{array}\right] \left[\begin{array}{c}x\\y\end{array}\right]=\left[\begin{array}{c}x'\\y'\end{array}\right]\)

Cos(60°) is rational, but sin(60°) is not. For any non-zero rational values of x and y, the sum ...

  cos(60°)·x + sin(60°)·y

will be irrational.

As in the attached diagram, if one of the coordinates of the rotated point (B) is zero, then one of the coordinates of its image (C) will be rational. The other image point coordinate cannot be rational.

The sampling method used in this scenario is convenience sampling.

Convenience sampling is a non-probability sampling method where the researcher selects participants who are easily accessible and readily available to participate in the study. In this scenario, the woman at the daycare is only asking parents who are standing near the front door and waiting patiently for their children to finish their art project. She is not asking parents who are leaving early or who are in a hurry, nor is she selecting parents randomly. Instead, she is selecting parents who are convenient for her to approach and who are more likely to have positive views of the daycare's service since they are patiently waiting for their children to finish their art project. The problem with this sampling method is that it may not be representative of the entire population, and it may lead to biased results. Therefore, it is not a recommended sampling method for most studies.

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The standard form of the equation is x₁, x₂', x₃ ≥ 0.

What is linear programming?

A mathematical model whose requirements are expressed by linear connections can be optimized using a technique known as linear programming. A particular type of mathematical programming is linear programming.

Here, we have

Given: -2x₁ - x₂' - 3x₃

We have to find the standard form.

a. Standard form:

Max:  -2x₁ - x₂' - 3x₃

Subject to,

-x₁ + x₂' + x₃ ≤ -3

2x₁ - 2x₂' + x₃ ≤ 9

-x₁ - x₂' + 2x₃ ≤ 0

x₁ ≤ 5

x₁, x₂', x₃ ≥ 0 [Note: x₂' = -x2]

b.

Dual using direct method:

Max 3y₁ + 9y₂ + 0y₃ + 5y₄

Subject to,

1y₁ + 2y₂ + 1y₃ + 1y₄ ≤ 2

1y₁ + 2y₂ - 1y₃ + 0y₄ ≥ -1

1y₁ + 1y₂ - 2y₃ + 0y₄ ≤ 3

y₁ ≥ 0; y₂ ≤ 0; y₃ ≥ 0; y₄ ≤ 0

Hence, the standard form of the equation is x₁, x₂', x₃ ≥ 0.

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Answer:

The common difference is 4 or C on your test

Step-by-step explanation:

-17+4= -13

-13+4= -9

And so on...

Answer:

27

Step-by-step explanation:

\( \frac{x - 3}{18} = \frac{12}{9} \)

\(18 \times \frac{x - 3}{18} = 18 \times \frac{12}{9} \)

\(x−3=9(2)⋅ \frac{12}{9} \)

\(x−3=2⋅12\)

\(x−3=24\)

\( x = 27\)

The identified lines or segments that intersect circle T are: B. chords: PQ, RS, and WX; secants: none; tangents: v and u; diameter: WX; radii: WT and TX.

A chord is defined as a line segment in a circle that has its two endpoints on the circumference of the circle. The longest chord in a circle is a diameter.

For example, the chords in the circle T, are: PQ, RS, and WX.

A secant is a line segment that has one end on the circumference of a circle, and extends out of a circle. There are no secants in circle T.

Tangents are line segments that have touches the circumference of a circle but do not cross the circle.

For example, the tangents in circle T are, v and u.

A diameter can be described as a line that divides a circle into two halves. The diameter in the circle given is: WX.

Radii are lines that has one endpoint at the center of a circle and the other endpoint on the circumference of a circle.

The radii in circle T are: WT and TX.

In summary, the identified lines or segments that intersect circle T are: B. chords: PQ, RS, and WX; secants: none; tangents: v and u; diameter: WX; radii: WT and TX.

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Answer:

The Median is 75

Step-by-step explanation:

median is the middle number in a set of given numbers

arranging in order will be

30,64,70,80,90,110

the middle numbers are 70 and 80

Median=80+70/2

=150/2

Median=75

Answer:

8 dollars

Step-by-step explanation:

12 minus 4 is 8

8

Step-by-step explanation:

12-4=8

She had 12 used 4 bucks, she has 8 left over from lunch

Henry opens a savings account with an annual interest rate of 4.5 percent. After a year, he gets $75,000 in payment. He made a deposit into the savings account of $72,831.68.

Here are the steps on how to calculate the amount Henry invested:

Convert the annual interest rate to a monthly rate.

\(\begin{equation}4.5\% \div 12 = 0.375\%\end{equation}\)

Calculate the number of years.

\(\begin{equation}\frac{18 \text{ months}}{12 \text{ months/year}} = 1.5 \text{ years}\end{equation}\)

Use the compound interest formula to calculate the amount Henry invested.

\(\begin{equation}FV = PV * (1 + r)^t\end{equation}\)

where:

FV is the future value ($75,000)

PV is the present value (unknown)

r is the interest rate (0.375%)

t is the number of years (1.5 years)

\(\begin{equation}\$75,000 = PV \cdot (1 + 0.00375)^{1.5}\end{equation}\)

\$75,000 = PV * 1.0297

\(\begin{equation}PV = \frac{\$75,000}{1.0297}\end{equation}\)

PV = \$72,831.68

Therefore, Henry invested \$72,831.68 in the savings account.

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Answer:

3628800 ways if the women are always required to stand together.

To solve this problem, we can consider the number of ways to arrange the women and men separately, and then multiply the results together.

First, let's consider the arrangement of the women. Since no two men can be seated next to each other, the women must be seated in between the men. We can think of the 5 men as creating 6 "gaps" where the women can be seated (one gap before the first man, one between each pair of men, and one after the last man).

Out of these 6 gaps, we need to choose 7 gaps for the 7 women to sit in. This can be done in "6 choose 7" ways, which is equal to the binomial coefficient C(6, 7) = 6!/[(7!(6-7)!)] = 6.

Next, let's consider the arrangement of the 5 men. Once the women are seated in the chosen gaps, the men can be placed in the remaining gaps. Since there are 5 men, this can be done in "5 factorial" (5!) ways.

Therefore, the total number of ways to seat the 5 men and 7 women is 6 * 5! = 6 * 120 = 720.

There are 720 ways to seat the 5 men and 7 women in a row such that no two men are next to each other.

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First you will get 4dz

Answer: x3y5

 ————

  2  

hopefully this helps!

Taylor polynomials of degree 2 and 3 centered at x = 0 for the function f(x) = 16tan(x) are:

P2(x) = 16x + 8x^2

P3(x) = 16x + 8x^2

To find the Taylor polynomials centered at x = 0 for the function f(x) = 16tan(x), we can use the Taylor series expansion for the tangent function and truncate it to the desired degree.

The Taylor series expansion for tangent function is:

tan(x) = x + (1/3)x^3 + (2/15)x^5 + (17/315)x^7 + ...

Using this expansion, we can find the Taylor polynomials of degree 2 and 3 centered at x = 0:

Degree 2 Taylor polynomial:

P2(x) = f(0) + f'(0)(x - 0) + (1/2!)f''(0)(x - 0)^2

= 16tan(0) + 16sec^2(0)(x - 0) + (1/2!)16sec^2(0)(x - 0)^2

= 0 + 16x + 8x^2

Degree 3 Taylor polynomial:

P3(x) = P2(x) + (1/3!)f'''(0)(x - 0)^3

= 0 + 16x + 8x^2 + (1/3!)(48sec^2(0)tan(0))(x - 0)^3

= 16x + 8x^2

Therefore, the Taylor polynomials of degree 2 and 3 centered at x = 0 for the function f(x) = 16tan(x) are:

P2(x) = 16x + 8x^2

P3(x) = 16x + 8x^2

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The expression shows the volume of the given rectangular prism will be 12x³ - 75x thus option (C) will be correct.

Volume is the scalar quantity of any object that specified occupied space in 3D.

The volume of the cube = side³.

Volume has units of cube example meter³,cm³, etc.

It is known that,

The volume of the cuboid or rectangular prism = length × height × width.

Volume = (3x)(2x + 5)(2x - 5)

⇒ (3x)(4x² - 5²)

⇒3x(4x² - 25)

⇒ 12x³ - 75x

Hence "The expression shows the volume of the given rectangular prism will be 12x³ - 75x".

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The measure of angle SQR is 75°.

To find the measure of angle SQR, we need to know the measure of angle PQS.

Since we know that angle PQR measures 75°, and the sum of all angles in a triangle equals 180°, we can calculate the

measure of angle PQS by using

the formula:

180° - 75° = 105°

Now, we know that angle PQS measures 105°.

Since angles PQS and SQR are supplementary angles (they form a straight line), their sum should equal 180°.

We can use this fact to find the measure of angle SQR:

180° - 105° = 75°

Therefore, the measure of angle SQR is 75°.

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Answer:

the answer is C

Step-by-step explanation:

As the number of days increases, the number of daily visitors at the visual arts exhibit levels off to a lower amount than the number of daily visitors at the sculpture exhibit.

As the number of days increases, the number of daily visitors at the visual arts exhibit levels off to a lower amount than the number of daily visitors at the sculpture exhibit.

The correct option is C.

A function is a law that relates a dependent and an independent variable.

The function representing the Visual Arts Exhibit is

V(n) = (800/x) +120

V(10) = 80+120 = 200

V( 50) = 16+120 = 136

V(100) = 8 +120 = 128

V(120) = 6.67 + 120 = 128.67

V(200) = 4 +120 = 124

The number of visitors in the Visual Arts Exhibit is decreasing with increasing number of days.

Therefore correct option is C .

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