Select the equivalent expression that uses the Greatest common Factor (GCF) of each term in the expression.

The required length of the sector shown is given as 22π feet.

Perimeter is the measure of the figure on its circumference.

Here,

A circle is shown, where radius = 36 feet and the measure of the length of the arc for a sector with an angle of 110° is to be determined.
We know that,
arc = angle × radius
arc= 110 × π/180 π 36
arc = 22π

Thus, the required length of the sector shown is given as 22π feet.

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Answer: so yea its the first one. im not that sure im just like saying what I know

Step-by-step explanation:

Answer: Curved surface!

Step-by-step explanation:

Answer:

curved surface:) good luck in school guys!

Step-by-step explanation:

Answer:

Let's call the original number of dollar bills Mother had "d". Each child received d/5 + 3 dollars.

Since each child received $14, we have:

d/5 + 3 = 14

Multiplying both sides by 5, we get:

d + 15 = 70

Subtracting 15 from both sides, we get:

d = 55

So, Mother had 55 dollar bills in her wallet.

The statement is false the expression √3x is equivalent to the expression x√3.

A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression. In a mathematical expression, the following terms are used:

let us check by an example put the value of x = 3

√3x = x√3.

and, √3 x 3  = 3√3

and, √9 ≠ 3√3

Here we can see that the two values are not equal.

Thus, the statement is false the expression √3x is equivalent to the expression x√3.

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Answer: The answer is B

Step-by-step explanation:

( 2 + 2 ) divided by ( 5 + 4)  is the same as 4/9 which is also the same as 2/9 + 2/9 which equals 4/9.

Answer: they are stilling your money

Step-by-step explanation:

The value of the variable x is 11

From the information given, the segment is from N - K

We have the midpoints as; NM, ML, LK

This is represented as;

NM + ML + LK = NK

Substitute the values, we get

x - 6 + 9 + 2x - 19 = 23

collect like terms, we get;

x + 2x = 23 +6 - 9 + 19

add or subtract the like terms

3x = 42 - 9

3x = 33

Now, make 'x' the subject of formula by dividing both sides by the coefficient of x, we get;

3x/3 = 33/3

Divide the values

x = 11

Hence, the value is 11

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The will Sally have to pay off during her three-year lease is d. $36,790.

In conclusion, the answer is d. $36,790.

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This is a linear function that describes the value of the car as a function of the time (t) in years.

A linear function is a type of mathematical function that shows a linear relationship between two variables. It is represented as a straight line when plotted on a graph. Linear functions are used to describe a wide variety of phenomena, including position, velocity, acceleration, and much more. Linear functions are also used in various fields of mathematics, such as algebra, calculus, and optimization. Linear functions can be written in the form of an equation, with the equation representing the line.

V(t) = 15000 - 1500t

This is a linear function that describes the value of the car as a function of the time (t) in years. V(t) is equal to the initial value of the car (15000) minus 1500 multiplied by the amount of years (t) since the car was purchased. As t increases, V(t) decreases, linearly, until it is worth $0.

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Answer:

-5

30x6=5

5 and convert to negative -5

It can be estimated that about 816 children in the typical school are living in poverty.

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The lower bound of the 90% confidence interval for the population mean is 44.3.

To calculate the lower bound of the 90% confidence interval for the population mean, we will use the formula:

Lower bound = sample mean - (1.645 * (standard deviation / square root of sample size))

Calculate the sample mean:

Sample mean = (42.3 + 59.2 + 45.4 + 55.8 + 49.0 + 39.7 + 56.2 + 54.6 + 45.8 + 60.6 + 55.7 + 46.1 + 58.3 + 44.4) / 14 = 51.09

Calculate the sample standard deviation:

Sample standard deviation = √(((42.3 - 51.09)2 + (59.2 - 51.09)2 + (45.4 - 51.09)2 + (55.8 - 51.09)2 + (49.0 - 51.09)2 + (39.7 - 51.09)2 + (56.2 - 51.09)2 + (54.6 - 51.09)2 + (45.8 - 51.09)2 + (60.6 - 51.09)2 + (55.7 - 51.09)2 + (46.1 - 51.09)2 + (58.3 - 51.09)2 + (44.4 - 51.09)2) / 13) = 8.37

Calculate the lower bound:

Lower bound = 51.09 - (1.645 * (8.37 / √14)) = 44.3

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Answer:

23

Step-by-step explanation:

because consecutive integers, that means each one is longer than the previous one

length 1= x

length 2 = x+1

length 3 = x+2

length 4 = x+3

so 4x+6 =86

x = 20

longest =20+3 =23

The Area of path is 400cm of a rectangular residential lot with the area 7475 is 50m longer then it is wide.

The difference between the areas of the two rectangles represents the path's area. To calculate the two areas, we shall utilize the rectangle's area formula. To get the necessary size of the path, first calculate the area of the larger rectangle by subtracting the area of the smaller rectangle.

In essence, the length and breadth of the rectangle multiplied together gives the area of the rectangle. In contrast, when we talk about a rectangle's perimeter, we mean the total of its four sides. Consequently, we can say that the area of a rectangle equals the space enclosed by its perimeter.

Area of park = l × b = 40 × 35 = 1350

Area of park with path is = 45 + 2.5 + 2.5 x 30 + 2.5 + 2.5 = 1750 cm

Therefore,

Area of path = Area of park with path - Area of rectangular park

= 1750 - 1350 = 400cm

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complete question:

A rectangular park is 45 m long and 30 m wide. A path 2.5 m wide is constructed outside the park. Find the area of the path.

The complete expression is (2 × x) + (2 × 6). This is an equivalent expression to the given expression.

What is an expression?

A number, a variable, or a combination of numbers, variables, and operation symbols make up an expression. Two expressions joined by an equal sign form an equation.

Given expression is

2 (x+6)

Distributive property: The same outcome is obtained by multiplying the sum of two or more addends by a number as it is by multiplying each addend by the number separately and combining the resulting products.

The mathematical representation is a(b+c) = ab + ac.

Apply the Distributive property in the given expression:

(2×x) + (2×6)

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Thw given statement " Accounting systems are important because they are a primary source of information for managers" is true.

Two categories of accounting systems exist: In the first, a small business uses a single entry system to log each transaction as a line item in a ledger. The alternative is a double entry system, in which each transaction is entered in two different accounts as both a debit and a credit.

Accounting systems are crucial since they serve as managers' main informational resource. The accounting system is likely to provide the information that is needed for many, if not most, decisions. Whether the accounting system is giving managers access to the "best" information is our main concern.

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complete question:

TRUE OR FALSE Accounting systems are important because they are a primary source of information for managers.

Answer: I'm pretty sure it's z<-6, so on the number line it would be an open circle at -6 and an arrow pointing left

The total parts that were lost is 1867

Let's call the number of total parts "x".

From the question, we have the following parameters that can be used in our computation:

56 parts were lost, which is 3% of the total, so we can write:

56 = (3/100) * x

To isolate x, we can divide both sides by (3/100):

56 / (3/100) = x

Rewrite the equation as

x = 56/(3/100)

Express as product

So, we have

x = 56 * 100/3

Evaluate the product

x = approximately 1867

So there were approximately 1867 total parts.

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Answer:

Y-intercept: 1/3

Step-by-step explanation:

The equation is y = mx + b

m = the slope

b = y-intercept

In this case, the y-intercept is 1/3

The function f(A,B,C,D) = A'B + BD is already in canonical sum of products (SOP) form,

So the answer is D the function is already expressed in canonical form.

A canonical form is a member of a collection of representations of form equivalence classes such that there is a function or method that projects every element of each equivalence class onto that single element, the canonical form of that equivalence class.

In general, a canonical form for a class of objects on which an equivalence relation is specified consists in selecting a single item from each class. As an example: Jordan normal form is a canonical matrix similarity form.

p′+q+r. This is the standard PoS output form, f. This function can alternatively be represented using the two notations below. We expressed the function as a product of respective Max terms in one equation.

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The equation so that y is a function of x is y = [15 - 3x]/5 and the value of y is 18/5.

Each term in a linear equation has an exponent of 1, and when this algebraic equation is graphed, it always produces a straight line. It is called a "linear equation" for this reason.

Both linear equations with one variable and those with two variables exist.

Given the equation 3x + 5y = 15

to convert it in form of y,

5y = 15 - 3x

and divide both sides by 5

y = [15 - 3x]/5

substitute x = -1

y = [15 - 3x]/5

y = [15 - 3(-1)]/5

y = 18/5

Hence equation is y = [15 - 3x]/5 and y = 18/5.

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The solid formed by a given net is option D. Rectangular pryramid

A rectangular pyramid is a three-dimensional shape that has a square base and four triangular sides that meet at a single point at the top. It is a type of polyhedron

Also rectangular pyramid is a polyhedron with a rectangular base and four triangular faces that meet at a common point called the apex.

Therefore, the correct answer is as given above. It can be concluded that the solider formed is option D. rectangular pyramid

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Step-by-step explanation:

The y-intercept of a function can be found by looking at the point where the x-coordinate is 0. In this case, the y-intercept of the function is -3, as the point (0,-3) is on the graph.

The slope of a function can be found by looking at the change in y divided by the change in x between two points on the graph. In this case, we can use the points (0,-3) and (1,-1) to find the slope. The change in y is -1 - (-3) = 2 and the change in x is 1 - 0 = 1. So the slope is 2/1 = 2.

Therefore, the equation of the function can be written in slope-intercept form as y = mx + b, where m is the slope and b is the y-intercept. So the equation of the function is:

y = 2x - 3

It's the equation of a line that pass through (0,-3) and (1,-1) and (2,1) and (3,3) and (4,5)

On solving the provided question we can say that we have the slope -5/7 and the equation will be 5x +7y -c = 0

A line's slope determines how steep it is. A mathematical equation for the gradient is called "gradient overflow" (the change in y divided by the change in x). The slope is the ratio of the vertical change (rise) between two points to the horizontal change (run) between those same two spots. When a straight line's equation is written as y = mx + b, the slope-intercept form of an equation is employed to express it. The y-intercept is located at a location where the line's slope is m, b is b, and (0, b). For instance, the slope of the equation y = 3x - 7 and the y-intercept (0, 7).The line's slope is m. b is b at the point where the y-intercept is, and (0, b). As an illustration, the equation y = 3x - 7 has a slope of 3, and its y-intercept is (0, 7).

here,

we have the slope -5/7

y = /5x/7 +c

7y = -5x +c

5x +7y -c = 0

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Answer:

2x + 9

Step-by-step explanation:

Answer:

62.8 trillion

Step-by-step explanation:

Records are made to be broken. In 2019, we calculated 31.4 trillion digits of π — a world record at the time. Then, in 2021, scientists at the University of Applied Sciences of the Grisons calculated another 31.4 trillion digits of the constant, bringing the total up to 62.8 trillion decimal places

Answer:

Step-by-step explanation:The following are the trial balance and other information related to Soft Tech, a

consulting engineer.

Soft Tech, Consulting Engineer

Trial Balance

December 31, 2022

Debit Credit

Cash Br. 59,000

Accounts Receivable 99,200

Allowance for Doubtful Accounts Br. 1,500

Supplies 3,920

Prepaid Insurance 2,200

Equipment 50,000

Accumulated Depreciation—Equipment 12,500

Notes Payable 14,400

Share, Capital 104,020

Dividend 34,000

Service Revenue 200,000

Rent Expense 19,500

Salaries and Wages Expense 61,000

Utilities Expense 2,160

Office Expense 1,440

Br. 332,420 Br. 332,420

Other data:

1. Fees received in advance from clients Br.12,000.

2. Services performed for clients that were not recorded by December 31,

Br.9,800.

3. Bad debt expense for the year is Br.2,860.

4. Insurance expired during the year Br.960.

5. Equipment is being depreciated at 10% per year.

6. Fine Tech gave the bank a 90-day, 10% note for Br.14,400 on December 1,

2022.

7. Rent of the building is Br.1,500 per month. The rent for 2022 has been

paid, as has that for January 2023.

8. Salaries and wages earned but unpaid December 31, 2022, Br.5,020.

Answer:

0.571428571

Step-by-step explanation:

To find the sum of two fractions with different denominators, a common denominator must be found.

In this case, the two in the denominator must be multiplied to make it 14.

14/2 = 7, so multiply 2 by 7 to get 14, and what you do to the bottom you must do to the top, so 1 * 7 = 7.

Now, your two fractions are 7/14 and 1/14. Add the numerators as the denominators are equal.

7+1 = 8

8/14 is the sum, which can be divided by 2 on the top and bottom to simplify.

8/2 = 4, and 14/2 = 7

4/7