A triangle has side lengths of
(
8.2

−
8.7
)
(8.2t−8.7) centimeters,
(
8.4

+
3.1
)
(8.4t+3.1) centimeters, and
(
9.7

−
8.8
)
(9.7u−8.8) centimeters. Which expression represents the perimeter, in centimeters, of the triangle?

Answer:

5. Slope: 2

y-intercept:(0,-6)

y=2x-6

6. Slope:1

y-intercept:(0,-1)

y=x-1

To find an expression for the width of the rectangle, we can use the formula for the area of a rectangle, which is:

Area = length x width

In this case, we know that the area is given by the expression +7x² + 11x + 2 and the length is given by the expression (x + 2). So we can substitute these values into the formula and solve for the width:

+7x² + 11x + 2 = (x + 2) x width

Expanding the right-hand side, we get:

+7x² + 11x + 2 = xwidth + 2width

Rearranging terms, we get:

+7x² + 11x + 2 - xwidth - 2width = 0

Factoring out the width, we get:

width*(x - 2) + 2*(x - 1) = 0

Dividing both sides by (x - 2), we get:

width = -2*(x - 1)/(x - 2)

Therefore, an expression for the width of the rectangle is:

width = -2*(x - 1)/(x - 2)

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Answer:

13.85$

Step-by-step explanation:

105$-8$=97$

97$/7$=13.85$

Answer: About $13.86

Step-by-step explanation: To find how much the cost of the forks is, we need to subtract the value of the lunch box from the total cost, because we don't need to find the value of the lunch box. So:

105 - 8 = 97

So, now since he bought 7 forks, we need to divide 7 by 97. So:

97 / 7 = 13.857142857142858

So, we need to round to the nearest cent. So, the 7 is greater than 5, so we round up. So, we have $13.86 each. So, check, we do:

13.86(7) + 8

97.02 + 8

= 105.02

This is the closest he can buy for each fork is ABOUT $13.86. I hope this helps ;)

The radius of the pool is 9.01 m.

Given,

In the question:

A circular pool is surrounded by a brick walkway 3 m wide.

The area of the walk- way is 198 m^2.

To find the Radius of the pool.

Now, According to the question:

"Area of the circle bounded by the outside edge of the walkway" minus "area of the pool" = "area of the walkway".

Let R = Radius of the pool

Area of the circle bounded by the outside edge of the walkway is:

\(\pi\)(R +3)^2

Area of the pool is:

\(\pi R^2\)

Now, Our equation is:;

\(\pi\)(R +3)^2 - \(\pi R^2\) = 198

\(\pi\)((R+3)^2 - \(R^2\)) = 198

Open the inner bracket :

\(\pi\)(\(R^2+6R+9-R^2\)) = 198

\(\pi\)(6R +9) = 198

6R+9 = 198/\(\pi\)

6R = 198/\(\pi\) - 9

R = (198/\(\pi\) - 9)/6

R = (198/(3.14) - 9)/6

R = (63.057 - 9)/6

R = 54.057/6

R = 9.01 meters

Hence, The radius of the pool is 9.01 m.

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If total cost of a pair of shoes and jacket is $46 and cost of shoes is $8 more than cost of jacket, cost of shoes is $27 and the system of equations to determine the cost of the shoes are x - y = 8 and x + y = 46.

Let the cost of the shoes be x and the cost of the jacket be y in dollars. As cost of shoes is $8 more than the jacket,

x = y + 8

Therefore, x - y = 8    (1)

Also the total cost of the shoes and jacket is $46, therefore

x + y = 46    (2)

Adding (1) and (2) we get

2x = 54

x = 27

Therefore, cost of shoes is $27.

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Answer:

3

Step-by-step explanation:

log(5) 125 =x

5^x = 125

5^x = 5^3

x=3

The major methods of recording unstructured observational data are Narrative Description, Field Notes, Audio or Video Recording, Photography, Diagrams or Maps.

The major methods of recording unstructured observational data are:

1. Narrative Description: This method involves writing a detailed, chronological account of the observed events or behaviors, capturing the context and interactions as they occur naturally.

2. Field Notes: In this method, the observer takes brief, concise notes during the observation, focusing on key events, behaviors, or interactions. These notes can be expanded and organized later for further analysis.

3. Audio or Video Recording: Using audio or video equipment, the observer captures the events and interactions in their entirety. This allows for a more accurate record and the ability to review and analyze the data multiple times.

4. Photography: Taking photographs during the observation can provide a visual record of the events and behaviors. These images can supplement other data collection methods and help to illustrate specific aspects of the observation.

5. Diagrams or Maps: Drawing diagrams or maps of the observation setting can help capture the spatial relationships between individuals and objects, as well as the overall layout of the environment.

These methods can be used individually or in combination, depending on the research question and the specific needs of the study. Remember to always respect participants' privacy and obtain informed consent when necessary.

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Yes, the probability assignments given to the four outcomes of an experiment are valid. Probabilities are calculated subjectively, and the decision maker assigned probabilities to the four outcomes of the experiment, which is perfectly acceptable.

Probability is a numerical measure of the likelihood of an event occurring, ranging from 0 to 1.

An event that is certain to happen has a probability of 1, while an event that is impossible has a probability of 0. The probability of any other event lies somewhere between 0 and 1.

Probability assignments, which are subjectively determined probabilities, are valid as long as they meet the following criteria:

In this case, the probability assignments are valid because they meet both of the above criteria. The probabilities assigned are between 0 and 1, and when the probabilities are added together, the sum is 1.

Therefore, the given probability assignments are valid.

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To find the volume of square pyramid, We use the formula that given below.

\( {x}^{2} \times \frac{y}{3} \)

where x is base and y is height. So, let's substitute the values.

\( {10}^{2} \times \frac{18}{3} \)

It gives

\(600 {cm}^{3} \)

‎ㅤ‎ㅤ‎ㅤ~Volume of the given square pyramid is 600cm³

‎ㅤ

Volume of square pyramid is given by:

\( \qquad\maltese\quad{\pmb{ \sf { V = \dfrac{1}{3} ( base\:area)\times height}}}\)

Here, we have:

\( \quad\dashrightarrow\quad \sf {V = \dfrac{1}{3}\times 10\times 10\times 18 }\)

\( \quad \dashrightarrow \quad \sf {V =\cancel{\dfrac{1800}{3} } }\)

\( \quad \dashrightarrow \quad \sf {V = 600cm^3 }\)

‎ㅤ‎ㅤ‎ㅤ‎ㅤ‎ㅤ‎ㅤ~Hence, the volume of given square pyramid is 600cm³.

\( \rule{350pt}{1pt}\)

The expression that gives the distance, d, between the ships after t hours is d = 25t

From the question, we are to write an expression that gives the distance, d, between the ships after t hours

First, we will determine the distance the ships have traveled after t hours

Using the formula,

Distance = Speed × Time

Thus,

The first ship would have traveled

20 × t miles

= 20t miles

The second ship would have traveled

15 × t miles

= 15t miles

Using the Pythagorean theorem,

The distance, d, between the ships after t hours is

d² = (20t)² + (15t)²

d² = 400t² + 225t²

d² = 625t²

d = √(625t²)

d = 25t miles

Hence, the expression that gives the distance, d, between the ships after t hours is d = 25t

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factorials with algebraic expressions still be correct if you substitute the letter with a number.

Factorial is a mathematical operation denoted by the exclamation mark (!). It is used to find the product of all positive integers from 1 to a given number. For example, the factorial of 4 (written as 4!) is:

4! = 4 × 3 × 2 × 1 = 24

Given by the question.

if you substitute a numerical value for the algebraic expression, the resulting factorial can be computed and evaluated as a numerical expression.

For example, consider the factorial expression n! where n is an algebraic expression such as n = x + 2. Substituting a numerical value for x, say x = 3, we get n = 3 + 2 = 5, and hence we can compute 5! = 5 x 4 x 3 x 2 x 1 = 120.

Similarly, if we have an expression like (n+1)! /(n-1)! where n is an algebraic expression, we can substitute a numerical value for n and compute the resulting value. For example, if we substitute n = 4, we get (4+1)!/(4-1)! = 5!/3! = (5 x 4 x 3 x 2 x 1)/(3 x 2 x 1) = 60.

It's important to note that substituting numerical values for algebraic expressions only works if the resulting expression is well-defined and doesn't lead to any undefined or indeterminate forms (such as division by zero).

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Answer:Its D i hope

Step-by-step explanation:

The arc of the satellite refers to the path that a satellite follows as it orbits around a celestial body such as the Earth, and is determined by the gravitational forces between the two objects.

We are given the orbital radius and angular separation between two adjacent communication satellites, and we need to find the arc length that separates them.

Here's a step-by-step explanation:

1. Given the orbital radius (r) is 8.46 * 10^7 m.
2. Given the angular separation (θ) is 4.00 degrees.
3. To find the arc length (s), we can use the formula s = r * θ, where θ should be in radians.
4. Convert the angular separation from degrees to radians: θ (radians) = θ (degrees) * (π / 180) = 4 * (π / 180) = 4π / 180 radians.
5. Calculate the arc length: s = r * θ = (8.46 * 10^7) * (4π / 180) ≈ 5.92 * 10^6 m.

So, the arc length that separates the satellites is approximately 5.92 * 10^6 m (option b).

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Answer:

Belleville to Greenwood is approximately 12 kilometers

explain detail note on distance in mathematics?

Distance in mathematics is the measure of how far apart two points are. It can be calculated in Euclidean space, where the distance between two points is the length of the straight line connecting them. In other spaces, such as a spherical surface, the distance between two points may be calculated using trigonometric formulas. The study of distances is called metric geometry.

Distance is often used to measure the length of paths, curves, or other objects. It can be measured in any unit of length, such as miles, kilometers, or meters. Distance can also be measured in terms of time, as in the speed of light.

Distance can be used to calculate the area of a shape or the volume of an object. It can also be used to calculate the length of a curve or the circumference of a circle. Distance can be used to calculate the slope of a line and the angle between two lines.

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Answer:

45 * 100 / 330 = amount in 100 ml of solution

13.6363636364  grams

Step-by-step explanation:

Answer:

Area - l*w

area is 4500 cm 2

perimeter - l + w * 2

perimeter is 280 cm

Probability that exactly 8 online bankers have not profited from insider information is C(15, 8) * 0.3^8 * (1 - 0.3)^(15 - 8).

Using the binomial distribution formula and rounding to four decimal places, we can calculate these probabilities and expected values.

To solve these probability problems, we can use the binomial distribution formula:

P(x) = C(n, x) * p^x * (1 - p)^(n - x)

where:

P(x) is the probability of x successes,

C(n, x) is the number of combinations of n items taken x at a time,

p is the probability of success in one trial, and

n is the number of trials.

In this case, let's calculate the probabilities step by step:

Probability that exactly 8 online bankers have not profited from insider information:

n = 15 (number of trials), x = 8 (number of successes), p = 0.3 (probability of success)

P(8) = C(15, 8) * 0.3^8 * (1 - 0.3)^(15 - 8)

Probability that at most 5 online bankers have profited from insider information:

P(x ≤ 5) = P(0) + P(1) + P(2) + P(3) + P(4) + P(5)

= P(0) + P(1) + P(2) + P(3) + P(4) + P(5)

Probability that not all selected online bankers have profited from insider information:

P(not all) = 1 - P(all)

Probability that more than 12 online bankers have profited from insider information:

P(x > 12) = P(13) + P(14) + P(15)

Expected number of online bankers who have profited from insider information:

E(x) = n * p

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The correct option is D

(x + 2) is a binomial expression.

A binomial expression is an expression that contains two terms (from the word "bi") and are connected by either addition or subtraction.

From the options, the binomial expression is: x + 2

Answer:

12.3 foot i think

Step-by-step explanation:

P.S. there will be no shadow of the boy if he is standing next to the statue because the shadow of the statue will cover him

just for fun

Answer:

x=3 and y=39

Step-by-step explanation:

2y + 3x = 87

y = 6x + 21

2(6x+21) + 3x = 87

12x + 42 + 3x = 87

15x + 42 = 87

15x = 45

x = 3

y = 6(3) + 21

y = 18 + 21

y = 39

Answer:

3yz² - 3z² - 5y + 7

Step-by-step explanation:

Sum of two polynomials = –yz² - 3z² – 4y + 4

One of the polynomial = y - 4yz²- 3

Find the other polynomial

The other polynomial = sum of the polynomials - one of the polynomial

= –yz² - 3z² – 4y + 4 - (y - 4yz² - 3)

= –yz² - 3z² – 4y + 4 - y + 4yz² + 3

= -yz² + 4yz² - 3z² - 4y - y + 4 + 3

= 3yz² - 3z² - 5y + 7

A. 0 -2yz?

B. – 4y + 7 01 - 2yz

C. – 3y + 1 0 -5yz² + 3z² – 3y + 1 D. 3yz² - 3z² – 5y + 7

Answer:

Y=6x+5=30x

Step-by-step explanation:

1) Each tailor will have finished 30 shirts

2) It will take Paula 5 hours and Miranda 6 hours

The estimated federal income tax withholding using the percentage method for the given scenario would be $1,940 + $1,680 = $3,620.

To calculate the federal income tax withholding using the percentage method, we need the specific tax rates and brackets for the given income level. The tax rates and brackets may vary depending on the tax year and filing status.

Since you mentioned using the pre-2020 Form W-4, I will assume you are referring to the 2019 tax year. In that case, I can provide an estimate based on the tax rates and brackets for that year.

For a married employee filing jointly in 2019, the federal income tax rates and brackets are as follows:

- 10% on taxable income up to $19,400

- 12% on taxable income between $19,401 and $78,950

- 22% on taxable income between $78,951 and $168,400

- 24% on taxable income between $168,401 and $321,450

- 32% on taxable income between $321,451 and $408,200

- 35% on taxable income between $408,201 and $612,350

- 37% on taxable income over $612,350

To calculate the federal income tax withholding, we need to determine the taxable income based on the employee's earnings and filing status. Assuming no other deductions or adjustments, the taxable income can be calculated as follows:

Taxable Income = Earnings - Standard Deduction - (Withholding Allowances * Withholding Allowance Value)

For the 2019 tax year, the standard deduction for a married couple filing jointly is $24,400, and the value of one withholding allowance is $4,200.

Using the given information of earning $62,000 and claiming 1 federal withholding allowance, we can calculate the taxable income:

Taxable Income = $62,000 - $24,400 - (1 * $4,200) = $33,400

Now we can apply the tax rates to determine the federal income tax withholding:

10% on the first $19,400 = $19,400 * 10% = $1,940

12% on the remaining $14,000 ($33,400 - $19,400) = $14,000 * 12% = $1,680

Therefore, the estimated federal income tax withholding using the percentage method for the given scenario would be $1,940 + $1,680 = $3,620.

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The absolute error in the approximation is approximately 0.000067.

What is the polynomial equation?

A polynomial equation is an equation in which the variable is raised to a power, and the coefficients are constants. A polynomial equation can have one or more terms, and the degree of the polynomial is determined by the highest power of the variable in the equation.

To approximate the given quantity using a Taylor polynomial with n = 3, we need to find the Taylor polynomial centered at the point where we want to approximate the function.

In this case, the function is cos(x), and we want to approximate it at x = 0.14.

a. Approximation using a Taylor polynomial with n = 3:

The Taylor polynomial for cos(x) centered at x = 0 can be expressed as:

P₃(x) = f(0) + f'(0)x + (f''(0)/2!)x² + (f'''(0)/3!)x³

First, let's find the derivatives of cos(x):

f(x) = cos(x)

f'(x) = -sin(x)

f''(x) = -cos(x)

f'''(x) = sin(x)

Evaluating the derivatives at x = 0:

f(0) = cos(0) = 1

f'(0) = -sin(0) = 0

f''(0) = -cos(0) = -1

f'''(0) = sin(0) = 0

Substituting these values into the Taylor polynomial:

P₃(x) = 1 + 0x + (-1/2!)x² + (0/3!)x³

= 1 - (1/2)x²

Now, let's approximate the value of cos(0.14) using the Taylor polynomial:

cos(0.14) ≈ P₃(0.14)

= 1 - (1/2)(0.14)²

= 1 - 0.0098

≈ 0.9902

Therefore, using a Taylor polynomial with n = 3, the approximation for cos(0.14) is approximately 0.9902.

b. Computing the absolute error in the approximation assuming the exact value is given by a calculator:

To compute the absolute error, we need the exact value of cos(0.14) from a calculator:

cos(0.14) ≈ 0.990267

The absolute error is given by the absolute difference between the approximation and the exact value:

Absolute error = |Approximation - Exact value|

= |0.9902 - 0.990267|

= |0.000067|

≈ 0.000067

Therefore, the absolute error in the approximation is approximately 0.000067.

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Step-by-step explanation:

multiple the power and real number

Answers;

a) Multiply 2 by 3: 6ab.

b) Multiply \(c^{5}\) by c by adding the exponents: c^6 or \(c^{6}\).

c) Simplify the expression. 10y^7 or \(10y^{7}\).

d) Simplify the expression. 12g^4h^5 or \(12g^{4}h^{5}\).

Answer:

I'm sorry but which ones are the x, y, and z, like (x, z, y)?

Step-by-step explanation:

By the way I promise you respond back and answer just making sure I know which variables are what so I can answer with the correct answer.

Answer:

169.56

Step-by-step explanation:

169.56

If the radius is 3 m and the height is 6 m. Then the volume of the cylinder will be 196.56 cubic meters.

Suppose that the radius of the considered right circular cylinder is 'r' units.

And let its height be 'h' units.

Then, its volume is given as:

V = πr² h

Right circular cylinder is the cylinder in which the line joining the center of the top circle of the cylinder to the center of the base circle of the cylinder is perpendicular to the surface of its base, and to the top.

The radius is 3 m and the height is 6 m.

Then the volume of the cylinder will be

Volume = 3.14 x 3² x 6

Volume = 3.14 x 9 x 6

Volume = 169.56 m³

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