Can someone help me?

Answer:

  b 12, 14, 16

Step-by-step explanation:

You want the next three terms of a sequence that starts 6, 8, 10, ....

The rule seems to be "add 2." If we continue to add 2 to each term, we find the next terms to be ...

  10 +2 = 12

  12 +2 = 14

  14 +2 = 16

The next 3 terms are 12, 14, 16.

__

Additional comment

Without the figure, the idea of "add one column" is meaningless. Since answers are in terms of dot counts, it would be more meaningful to describe the pattern in terms of what happens to the dot count.

The population will be approximately 29,628 people 5 years from now. (Rounded to the nearest whole number)

To calculate the future population, we need to take into account the growth rate over time.

In this case, we know that the population doubled in size over 26 months and the current population is 20,000.

Let's break down the problem step by step:

Calculate the monthly growth rate:

Since the population doubled in size over 26 months, the monthly growth rate can be calculated as the 26th root of 2.

This is because if the population doubles in size over 26 months, each month the population grows by the 26th root of 2.

Monthly growth rate  [tex]= 2^{(1/26) } \approx 1.027[/tex]

Calculate the number of months in 5 years:  

Since there are 12 months in a year, the number of months in 5 years is [tex]5 \times 12 = 60[/tex] months.

Calculate the future population:

We start with the current population of 20,000 and apply the monthly growth rate for 60 months.

Future population  = Current population [tex]\times[/tex]  (Monthly growth rate)^{(Number of months)

Future population [tex]= 20,000 \times (1.027)^60 \approx 29,628.12[/tex]

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Answer: PSD

Step-by-step explanation: perfectly symmetrical distribution

In the formula, A is the amount after interest, P is the principal, r is interest rate in decimals, n is the amount of times the interest is compounded per year, and t is the amount of years.

We can compare and contrast the primary differences between the Job costing and Process costing processes as follows:

Job costing process:

Process costing:

We can classify the cost types by understanding their usage in the accounting industry. Process costing is used for calculating the costs for mass-produced materials while job costing is used for calculating the cost for customized products.

Process costing is used for accumulating costs and to ascertain the flow of costs through accounts. Job costing is the main document for tracking costs.

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There are 462 different possible lineups of 5 songs that can be composed from the given list of 11 songs.

We need to use the idea of combinations to figure out how many different lineups of musical entertainment can be made. A way to select objects from a larger set without regard to their order is called a combination.

In this problem, we have to choose five songs from an 11-song list. We would like to know how many different ways there are for us to select five songs from the eleven that are available, where the order of the songs in the lineup is irrelevant. We can use the combination formula to solve this.:

n choose k = n! / (k! * (n - k)!)

where n is the total number of items to choose from, k is the number of items to choose, and ! denotes factorial, which is the product of all positive integers up to and including that number.

In this case, we have 11 songs to choose from and we want to choose 5 songs. So we can plug these values into the formula:

11 choose 5 = 11! / (5! * (11 - 5)!)

= (11 * 10 * 9 * 8 * 7) / (5 * 4 * 3 * 2 * 1)

= 11,880 / 120

= 462

Consequently, there are 462 unique potential setups of 5 tunes that can be created from the given rundown of 11 melodies.

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The values of b and c include the following:

c = 8

b = 4√3

In order to determine the length of b, we would apply the law of tangent because the given side lengths represent the adjacent side and opposite side of a right-angled triangle.

Tan(θ) = Opp/Adj

Where:

Therefore, we have the following tangent trigonometric function:

Tan(θ) = Opp/Adj

Tan(30°) = 4/b

√3/3 = 4/b.

b = 4√3

From Pythagorean Theorem, the length of c is given by;

c² = (4√3)² + 4²

c² = 48 + 16

c = √64

c = 8

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Thus, the volume of cylinder with the given height and diameter is found as 1413 ft³.

A cylinder is three-dimensional. It's not a flat thing. There are parallel circular bases in this shape. These bases have a curved face affixed to them. A cylinder in this instance has three faces. Along both end of a curved face, which rounds back to the face's origin, are two spherical bases.

Given that-

Volume of cylinder = πr²h

Volume of cylinder = 3.14 *5²*18

Volume of cylinder = 3.14*25*18

Volume of cylinder = 1413 ft³

Thus, the volume of cylinder with the given height and diameter is found as 1413 ft³.

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If Laurel received a 1099 form from her bank for her savings account interest in the amount of $690 and a 1099 form from an employer that she did some consulting work for in the amount of $2,600, then Laurel's taxable income is calculated as  $98,580.

Taxable income refers to the base upon which an income tax system imposes tax.

We deduct the following;

Wages reported on W-2 =  $100,750

Interest income reported on 1099=  $690

Consulting income reported on 1099= $2,600

Therefore, her total income = $100,750 + $690 + $2,600 = $104,040

Laurel's allowable deductions include:

FSA contributions: $30 per week x 52 weeks = $1,560

Retirement plan contributions: $75 per week x 52 weeks = $3,900

Total deductions = $1,560 + $3,900 = $5,460

Laurel's taxable income  is found as

= Total income - Total deductions

= $104,040 - $5,460

= $98,580

In conclusion, Laurel's taxable income is $98,580.

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If over what interval does f(x) = 2x increase faster than g (X): A. 1

To determine over what interval f(x) = 2x increases faster than g(x) = x^2, we need to compare their derivatives. The derivative of f(x) is 2, which is a constant, and the derivative of g(x) is 2x. Therefore, f(x) increases at a constant rate of 2, while g(x) increases at a rate that depends on x.

To find the interval where f(x) increases faster than g(x), we need to find where the derivative of g(x) is less than 2. Setting 2x < 2 and solving for x, we get x < 1.

So, over the interval x < 1, f(x) = 2x increases faster than g(x) = x^2.

Therefore, the answer is A. 1.

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The total surface area of the given cone is 628 in².

What is the area of the cone?

The overall area a cone occupies in a three-dimensional space is referred to as its total surface area. It is equivalent to the total of the cone's curved surface and base. Total Surface Area (TSA) = CSA + Area of Circular Base is the formula for calculating a cone's total surface area.

Given :

Slant height of the cone = 17 inches

Diameter of the cone = 16 inches

Radius of the cone = Diameter/2

= 16/2

= 8 inches

Total Surface area of the cone = πr(l+r)

= π*8(17+8)

= 8π* 25

= 200π

= 628 in².

Hence, the total surface area of the given cone is 628 in².

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By adding the formed equations, Schuyler will receive $7.05 in change.

What is addition?

Addition is a basic arithmetic operation in mathematics that involves combining two or more numbers to form a sum.

To find the total cost of the almonds and walnuts, we need to calculate the cost of each separately and then add them together.

The cost of 0.4 pound of almonds is:

0.4 x $9.95 = $3.98

The cost of 0.6 pound of walnuts is:

0.6 x $14.95 = $8.97

The total cost of the almonds and walnuts is:

$3.98 + $8.97 = $12.95

Schuyler gives the cashier $20, so the amount of change she will receive is:

$20 - $12.95 = $7.05

Therefore, Schuyler will receive $7.05 in change.

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To create a consistent and dependent system with the equation x - y = -2, we need to find another equation that has the same solution as this equation.

We can manipulate the equation x - y = -2 to get y = x + 2.

Now, we can substitute y = x + 2 into each of the given equations to see which one creates a dependent system:

6x + 2y = 15 becomes 6x + 2(x + 2) = 15, which simplifies to 8x = 11. This equation has no solution, so it does not pair with x - y = -2 to create a dependent system.

-3x + 3y = 6 becomes -3x + 3(x + 2) = 6, which simplifies to 0 = 0. This equation has infinitely many solutions and pairs with x - y = -2 to create a dependent system.

-8x - 3y = 2 becomes -8x - 3(x + 2) = 2, which simplifies to -11x = -8. This equation has a unique solution, so it does not pair with x - y = -2 to create a dependent system.

4x - 4y = 6 becomes 4x - 4(x + 2) = 6, which simplifies to -4 = 6. This equation has no solution, so it does not pair with x - y = -2 to create a dependent system.

Therefore, the equation -3x + 3y = 6 can pair with x - y = -2 to create a consistent and dependent system.

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Answer:

the area is 49m² this because for area you have to mutiple

Step-by-step explanation:

7×7=49

The lower limit is 189.331 milligrams per one hundred milliliters, and the upper limit is 195.469 milligrams per one hundred milliliters.

To find the 90% confidence interval for the mean serum cholesterol level of all middle-aged women, we can use the formula:

CI = x' ± t(α/2, n-1) × (s/√n)

where:

x' is the sample mean serum cholesterol level

t(α/2, n-1) is the critical t-value for a two-tailed test with a 90% confidence level and n-1 degrees of freedom

s is the sample standard deviation of the serum cholesterol level

n is the sample size

Substituting the given values, we get:

CI = 192.4 ± t(0.05, 11) × (5.9/√12)

To find the critical t-value, we can use a t-distribution table or calculator. For a two-tailed test with 11 degrees of freedom and a 90% confidence level, the critical t-value is approximately 1.796.

Substituting this value and simplifying, we get:

CI = 192.4 ± 1.796 × 1.707

CI = 192.4 ± 3.069

Therefore, the 90% confidence interval for the mean serum cholesterol level of all middle-aged women is (189.331, 195.469).

This means that we can be 90% confident that the true mean serum cholesterol level for all middle-aged women falls within this interval.

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those attending the party ate 4 1/2 pounds of candy in total.

How to solve the question?

To solve this problem using an array model on graph paper, we can draw a rectangular array with 2 1/4 rows and 3 1/2 columns. Each cell in the array represents a 1/4 pound of candy. The total number of cells in the array will give us the total amount of candy eaten.

To start, we can divide each row into four equal parts to represent 1/4 pound of candy. We can also divide each column into two equal parts to represent 1/2 pound of candy. Then, we can shade in the cells that represent the amount of candy eaten.

Starting with the first row, we shade in two full rows and an additional half row, representing 2 1/2 bags of candy. Then, in the second row, we shade in two full columns and an additional half column, representing 2 1/4 bags of candy.

When we count the total number of shaded cells in the array, we see that there are 18 cells shaded. Each cell represents 1/4 pound of candy, so we can multiply 18 by 1/4 to get the total amount of candy eaten:

18 * 1/4 = 4 1/2 pounds

Therefore, those attending the party ate 4 1/2 pounds of candy in total.

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The surface area of the prism is 426 m²

A cuboid is a rectangular prism. And has all the properties related to a prism. The general formula for the surface area of a cuboid is ;

SA = 2B + ph

We can use net formula to find the surface area of a cuboid.

surface area of a cuboid is expressed as;

SA = 2( lb+lh +bh)

l = 12m , b = 5m and h = 9m

lb = 12×5 = 60m²

lh = 12 × 9 = 108m²

bh = 5×9 = 45m²

SA = 2(60+108+45)

= 2(213)

= 426 m²

therefore the surface area of the cuboid is 426m²

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Therefore , the solution of the given problem of volume comes out to be the other leg of the right triangular pyramid's base is 12 yards long.

The volume of a three-dimensional item, which is measured in cubic units, describes how much room it occupies. Litre and in3 are the symbols for cubic measurements. However, in order to determine an object's dimensions, you must be aware of its volume. It's common practise to translate an object's weight onto metric units like kilogrammes.

Here,

Let's use "x" yards to represent the unknown leg of the right triangular pyramid's base.

A pyramid's volume can be calculated using the following equation: => => Volume = (1/3) * Base Area * Height

In this instance, the height of the pyramid is 14 yards, and its base is a right triangle with legs that are 8 yards and 'x' yards in length.

Consequently, we can formulate the equation for the pyramid's volume as follows:

=> 168 = (1/3) * (8 * x) * 14

The simplified formula gives us 168 = (4/3) * 14 * x.

We may find "x" by dividing both sides of the equation by

=> [(4/3)*14]: 168 / [(4/3)*14] = x.

=> x = 12

Therefore, the other leg of the right triangular pyramid's base is 12 yards long.

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If prices are rising, I would choose to use the FIFO (first-in, first-out) cost flow assumption. This is because under FIFO, the earliest inventory items purchased are assumed to be sold first, leaving the more recently purchased, and therefore higher-priced, items in inventory. As a result, the cost of goods sold (COGS) will be based on the lower, earlier purchase prices, resulting in higher net income and, therefore, a higher year-end bonus.

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The value of the variables 'x' and 'y' will be 8√2 cm and 9√2 cm, respectively.

Given that:

Area of a small triangle, A = 72 square cm

The ratio of the matching sides will remain constant if two triangles are comparable to one another.

The equation is given as,

x² / (32)² = y² / (36)² = 72 / (1/2 x 32 x 36)

The value of 'x' is calculated as,

x² / (32)² = 72 / (1/2 x 32 x 36)

x = 8√2 cm

The value of 'y' is calculated as,

y² / (36)² = 72 / (1/2 x 32 x 36)

y = 9√2 cm

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Answer is down below!

Step-by-step explanation:

This is of the form h = a + b cos ct, where: a = 40 m. This is the height of the axle of the Ferris wheel. b = -30 m. The magnitude of this number is the radius of the wheel.

Answer:

The inequality v ≥ 3 can be satisfied by any number greater than or equal to 3, such as 4, 5, 6.7 etc. The smallest value that will make the inequality true is 3 itself. As long as the number chosen for v is greater than or equal to three then it will satisfy the given equation and make it true.

Step-by-step explanation:

The values that make the inequality v ≥ -3 make true are -3, -2.99, -2.9, and 0.

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

We have the inequality v ≥ -3.

Here the inequality shows that the value is equal to greater than -3.

1. -11 < -3.

2. -8 < -3

3. -6 < -3

4. -4< -3

5. -3.1< 3

6. -3.01 < -3

7. -3.001 < -3

8. -3 = -3

9. -2.999 > -3

10. -2.99 > -3

11. -2.9 > -3

12. 0 > -3

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There are 24 possible arrangements for the elements in the occurrences where there are no cards in the box with the same letter.

Arrangement of objects in a specific order.

From the information provided:

Using the permutation method, the four cards that are arbitrarily placed in the four boxes can be represented as follows:

No box has a card that begins with the same letter as the box, which suggests that:

There are four different ways to arrange Card A in a box, three different ways to arrange Card B in a box, two methods to arrange Card C in a box, and one way to arrange Card D in a box.

Thus, the Permutation of the four cards can be calculated as:

[tex]4^p_4 = 4! = (4 * 3 * 2 * 1) = 24[/tex]

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Answer:

10y + 17

Step-by-step explanation:

1) (given): 3(6y+5) — 2(4y — 1)

2) (distributive property): 18y + 15 - 8y + 2

3) (combine like terms): 10y + 17

a. Statistical question about vacation destinations: What percentage of people who traveled for vacation last year went to a beach destination?

Data that is descriptive but not numerical is considered qualitative data. It is frequently used to describe the qualities or traits of things, people, or occasions. Qualitative data examples include hues, textures, tastes, and perspectives.

On the other hand, quantitative data are numerical data that can be measured and statistically analysed. It is frequently used to describe numbers or amounts of different things. Measurements like height, weight, temperature, and test results are examples of quantitative data.

a. Statistical question about vacation destinations: What percentage of people who traveled for vacation last year went to a beach destination?

b. Statistical question about books: What is the average number of books read per month by individuals who report reading as a favorite hobby?

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The training wheel has an area approximately 286.34 square inches smaller than the regular wheel.

The area of a circle is given by the formula A = πr², where A is the area of the circle and r is the radius of the circle. Since we have the radii of both wheels, we can use this formula to find their respective areas.

The area of the training wheel is A₁ = π(3)² = 9π square inches.

The area of the regular wheel is A₂ = π(10)² = 100π square inches.

To find the difference in their areas, we can subtract A₁ from A₂:

A₂ - A₁ = 100π - 9π = 91π

So the difference in their areas is 91π square inches. To round to the nearest hundredth, we can use the approximation π ≈ 3.14:

91π ≈ 286.34 square inches

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The total possible points in the course is approximately 470.

Let's assume that the total possible points in the course is "x".

Since you needed 90% of the course total for an A, that means you needed to earn 90% of "x" to get an A. This is equivalent to 0.90x.

You missed an A by only 8 points, so your actual earned points must be 90% of "x" minus 8. This can be expressed as 0.90x - 8.

Given that your actual earned points for the course is 415, we can set up an equation:

0.90x - 8 = 415

Now, we can solve for "x" to determine the total possible points in the course:

0.90x = 415 + 8

0.90x = 423

x = 423 / 0.90

x ≈ 470

So, the total possible points in the course is approximately 470.

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Answer:

Let's assume the number of boys in the school as "B".

Then, the number of girls can be expressed as "B - 28".

According to the problem, the total number of students is 1176. Therefore, we can write an equation as follows:

B + (B - 28) = 1176

Simplifying the above equation, we get:

2B - 28 = 1176

Adding 28 to both sides, we get:

2B = 1176 + 28

2B = 1204

Dividing both sides by 2, we get:

B = 602

Therefore, there are 602 boys in the school.