2. Find the 200th term of
the sequence:
3. 7. 11, 15, 19....

This process required 3 to be subtracted 5 consecutive times, so again we see that 15 ÷ 3 = 5. The number that is being divided (in this case, 15) is called the dividend, and the number that it is being divided by (in this case, 3) is called the divisor. The result of the division is the quotient.

Division is a simple operation in which a number is divided. It's easiest to think of it as a number of objects being divided among a certain number of people.

Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.

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Answer: 0

Step-by-step explanation:

because -2+-1 is -3. then -3+0 is just -3. lastly -3+1 = -2 and -2 + 2 = 0

Answer:

{(5,1),(5,0),(1,0),(0,-3),(-3,0),(-4,-3),(2,5)}

Step-by-step explanation:

This is all I could get from the cropped out picture of the graph

Answer:

n = 4

Step-by-step explanation:

8 * n = 32

Solve for n

Divide each side by 8

8*n/8 = 32/8

n = 4

This statement in the article is wrong because $2.69 is not the mean price ($2.81)

The prices from 5 gas stations surveyed are given as:

$2.79, $2.99, $2.69, $2.89, and $2.69.

There are no outliers in the dataset

So, the dataset can be summarized by the mean

The mean is

Mean = Sum/Count

So, we have

Mean = ($2.79+ $2.99+ $2.69+ $2.89+$2.69)/5

Evaluate

Mean = 2.81

The article quoted $2.69 as the typical price

This statement in the article is wrong because $2.69 is not the mean price ($2.81)

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Answer: 70

Step-by-step explanation:

7 days a week x 2 lawns = 14

14 lawns x 5 weeks = 70 lawns

Answer:

70 lawns

Step-by-step explanation:

If Bob mows lawns every day for 5 weeks this is how the equation would work:

2 * 7 = 14

14 * 5 = 70

I got the 7 because there's seven days per week.

The typical average price of gasoline should be $2.81 and not $2.69 because $2.69  is not the average of the sampled prices.

We are given the prices of a gallon of gasoline from 5 gas stations surveyed as; $2.79, $2.99, $2.69, $2.89, and $2.69.

Thus, to calculate the mean, we will use the formula;

Mean = ∑x/n

Mean = (2.79 + 2.99 + 2.69 + 2.89 + 2.69)/5

Mean = 14.05/5

Mean = $2.81

Thus, the typical average price of gasoline should be $2.81 and not $2.69

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Step-by-step explanation:

we get the points with extreme values as the 0 points of the first derivative of the function.

h'(t) = 592 - 32/7 t = 0

592 = 32/7 t

4144 = 32t

t = 129.5 seconds

so, it will reach its max. height after 129.5 seconds.

The time that the ball reaches its maximum height is 129.5 seconds.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The height above the lunar surface (in feet) after ‘t’ seconds is given by the formula;

⇒ h =592t - 16/7t²

Now,

We have to find the derivative of above formula and equate to zero for the maximum time as;

⇒ h =592t - 16/7t²

⇒ h' =592 - 16/7 × 2t = 0

⇒ 592 - 32/7 t = 0

⇒ 32/7 t = 592

⇒ 32t = 592 × 7

⇒ 32t = 4,144

⇒ t = 4,144/32

⇒ t = 129.5 seconds.

Thus, The time that the ball reaches its maximum height is 129.5 seconds.

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Answer:

3:5.7

Step-by-step explanation:

please Mark me as

Answer:

its not a accurate questions

cant be answered

Step-by-step explanation:

Product Y would be allocated 20% of the machine setups cost

Product Z  would be allocated 80% of the machine setups cost

What is activity-based costing?

Activity-based costing is a costing method where overhead cost of production are allocated based on the cost driver responsible for the overhead rather than using the plantwide overhead rate based on direct labor-hours.

In this case, we need to first of all determine the machine setups cost per per setups, based on the fact there 300 setups for both products Y and Z

machine setup  cost per setup=Machine setups cost/Number of setups

Machine setups cost=$180,000

Number of setups=300

machine setup  cost per setup=$180,000/300

machine setup  cost per setup=$600

Total set up cost for product Y=60*$600=$36000

Total set up cost for product Y as %=$36,000/$180,000=20%

Total set up cost for product Z=240*$600=$144,000

Total set up cost for product Z as %=$144,000/$180,000=80%

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The angles that are vertical angles are:

<EBD and <ABC

<ABE and <CBD

When two straight lines intersect at a point, they form two pairs of angles that are directly vertically opposite each other. These pairs of angles are called the vertical angles.

Given the image below that shows two lines intersecting at point B, they form two pairs of angles that are directly vertically opposite each other, which are:

<EBD and <ABC

<ABE and <CBD

These two pairs of angles are called vertical angles.

Therefore, the angles that are vertical angles are:

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Answer:

linear

Step-by-step explanation:

because they're are all in a vertical vay

The number of weeks that it takes to empty the lake is; 350/11 weeks

We are told that Officials begin to release water from a full man-made lake at a rate that would empty the lake in 14 weeks, but a river that can fill the lake in 25 weeks is replenishing the lake at the same time.

Let w = number of weeks required to empty the lake

let the completed job = 1 (an empty lake)

Thus;

w/14 - w/25 = 1

Multiply through by 350 to get;

25w - 14w = 350

11w = 350

w = 350/11 weeks

Thus, the number of weeks that it takes to empty the lake is; 350/11 weeks

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Answer:

No

Step-by-step explanation:

By the time they meet at their first meet, they would have practiced for 630 minutes total.

70*3=210

If they meet every three days each week for 70 mins each day then I would have to multiply the answer to learn how many minutes they gain each week.

210*3=630

If they have 210 mins per week and they only meet 3 times before the first meet, they will have only met for a total of 630 mins.

The limit of the composite function is given as follows:

lim x->7 f(g(x)) = 2.

A limit is given by the value of function f(x) as x tends to a value.

From the graph of g(x), we have that the lateral limits at x = 7 are given as follows:

[tex]\lim_{x \rightarrow 7^-} = \lim_{x \rightarrow 7^+} = -2[/tex]

Hence:

lim x->7 f(g(x)) = f(lim x->7 g(x)) = f(-2).

Looking at the graph of f(x), we have that:

f(-2) = 2.

Hence:

lim x->7 f(g(x)) = 2.

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Let us understand the properties of Logarithms. In mathematics Logarithms are the inverse of exponential function. In the simplest case, the logarithm counts the number of times same factor in present in a repeated multiplication.

A logarithm of a number 'x' to a base 'y' is defined as:

[tex]log_y^x=z (y > 0)[/tex]

which represents [tex]y^{z} =x[/tex]

According to the properties of Logarithm :

Now let us solve the given problem:

[tex]2 log (x-y)=log x+ log y\\or,log(x-y)^2=log(xy)\\or,log(x^2+2xy+y^2)=log(xy)[/tex]

[tex]or,x^{2} +2xy+y^{2}=xy\\[/tex] ( taking anti-logarithms on both sides)

[tex]or,x^{2}+y^{2}=xy+2xy[/tex]

Now let us use the above equation to solve

Left Hand Side:

[tex]2 log(x+y)\\=log(x+y)^2\\=log(x^{2} +2xy+y^{2} )\\=log(x^2+y^2+2xy)\\=log(xy+2xy+2xy)\\=log(5xy)\\=log(5)+log(x)+log(y)[/tex]

=Right Hand side

Hence the statement is proved by using the properties of logarithm.

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Answer: 1/10

Step-by-step explanation:

Shop Layout, in a scene shop, sheet lumber (such as lauan, plywood, masonite, and MDF) is commonly stored flat in an area that is at least  C. 4'x8'.

The most common size (area) for sheet lumber is  4 x 8 feet, about 32ft² or 2.97m².

Other areas that sheet lumber can occupy include 2 x 2 feet, 2 x 4 feet, 4 x 4 feet, and 4 x 10 feet.

This implies that sheet lumber does not usually come in the following sizes: 4'x6', 8'x8', and 6'x10'.

Length of sheet lumber = 8 feet

Width of sheet lumber = 4 feet

Area of sheet lumber = 32 ft² (8 x 4)

Thus, according to Shop Layout, in a scene shop, sheet lumber (such as lauan, plywood, masonite, and MDF) is commonly stored flat in an area that is at least  C. 4'x8'.

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Answer:

It is 41, 43, 47! :D

Step-by-step explanation:

The mixture requires 200 ounces of 40% alloy.

A mixture is a physical combination of two or more substances that retain their identities and are blended as solutions, suspensions, or colloids.

x = amount of 40% copper

400 = amount of 70% copper

x + 400 = total amount of copper = amount of 60% copper

Set a correctly weighted mixture of x and 300 equal to the a weighted (x+300), in which the weights are decimal percentages;

0.4x + 0.7(400) = 0.6(x + 400)

Solve for x:

0.4x + 280 = 0.6x + 240

0.2x = 40

x = 200

x = 200 ounces of 40% copper.

Therefore, the amount of 40% alloy needed for the mixture is 200 ounces.

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The dimensions of the concrete patio should be 23ft x 12ft x 0.5feet.

Since a rectangle is two-dimensional, while a cube is three-dimensional, the dimensions of the concrete patio include its length, width, and height or thickness.

The quantity of concrete required = 138ft³

The perimeter of the patio = 70 feet

Height = 6 inches or 1/2 foot or 0.5 ft

Perimeter = 2(L + W)

70 = 2(L + W)

L + W = 35 (70/2)

The possibilities for the length and width include 20 and 15, 25 and 10, and lastly, 23 and 12, which are also the two pair factors of 276.

Let L = 23 (the length is always longer than the width)

W = 12 (35 - 23)

Check:

Volume of concrete = 138ft³

Area = 276ft² (138ft³/0.5ft)

Two pair factors of 276 are 92 and 3, 46 and 6, 23 and 12, 2 and 138, and 1 and 276.

Given also that (23 + 12)2 = 70 (perimeter)

The dimensions that meet the two requirements are:

Length = 23 feet

Width = 12 feet

and Height = 0.5 feet

= 23 x 12 x 0.5 = 138

Thus, the dimensions of the concrete patio should be 23ft x 12ft x 0.5feet.

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The amount of gas in the tank is 13 1/3 gallons

The tank of the car holds 20 gallons of gas

The gasoline gauge shows 2/3 full

The amount of gas left in the tank can be calculated as follows

= 2/3 × 20

= 40/3

= 13 1/3

Hence there are 13 1/3 gallons of fuel left in the tank

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Answer:

You can flip the second fraction and multiply the fractions so 3/5 * 15/3 = 3

Step-by-step explanation:

Answer:

The third graph

Step-by-step explanation:

We can immediately eliminate the 1st and last graphs because they are decreasing, not increasing. It wouldn't make sense that the more classrooms there are, the fewer students. Y = 22x would be increasing in the graph.

Let's plug some x values into the equation first, to see where our points are at.

Plug 1 into x

Y = 22(1)

Y= 22

(1,22)

Plug 2 into x

Y = 22(2)

Y = 44

(2,44)

Plug 3 into x

Y = 22(3)

Y = 66

(3,66)

Plug 4 into x

Y = 22(4)

Y = 88

(4,88)

The second graph matches the coordinates, so it works, but it isn't a complete function graph. A function graph needs a line drawn through the points. The second graph isn't your answer.

Let's look at the third graph. The coordinates also match up with the graph and it has a line drawn through the points. It's an accurate function graph representing this scenario. Therefore, the third graph is your answer.

Have a lovely day! :)

Answer: the 2nd graph is what i got right on the test

Step-by-step explanation:

1. The effects of each transaction on the individual items of the accounting equation are as follows:

Cash    $70,000 + (40,000) + (15,000) + (500) + 4,000 + (3,275) + 1,800 + (700) + (1,800) = $14,525

Accounts Receivable $2,800 - 1,800 = $1,000

Office Supplies $1,200

Equipment $10,000 + 15,000 + 1,700 = $26,700

Office Suites $40,000

Accounts Payable $1,200 + $1,700 + (700) = $2,200

Capital–L. Lopez $70,000 + 10,000 = $80,000

Dividends $3,275

Revenues $2,800 + 4,000 = $6,800

Advertising Expenses $500

Wages Expense $1,800

Total $2,300

2. The company's Net income is $4,500.

Net income = Revenue - Expenses

= $2,300 ($6,800 - $2,300).

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1. Use additions and subtractions within the table to show the dollar effects of each transaction on individual items of the accounting equation.

2. Determine the company’s net income.

Option D is the right choice. Dependent events can best be described as group of events whose later outcomes are affected by previous outcomes.

We are aware of two instances. If the occurrence of one result influences the occurrence of the other outcome, then events A and B are said to be dependent.

For instance,

If we pull the first marble without replacing it from a bag containing 5 blue marbles, 2 red marbles, and 3 green marbles.

The sketching of a blue marble first, followed by a green marble, is an instance of a dependent event.

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Answer:

d on edge

Step-by-step explanation: