Write the perimeter of the triangle in
simplest form.

The three-point technique, also known as the three-point estimation or the PERT (Program Evaluation and Review Technique), is a project management tool used to estimate the duration or effort required for completing a task or project.

It involves estimating three values for a specific task - the optimistic estimate (O), the most likely estimate (M), and the pessimistic estimate (P).

These   three estimates are thenused to calculate the expected estimate (E) using the formula: E = (O + 4M + P) / 6.

The three-point technique   is important because it provides a more realistic andreliable estimate by considering both best-case and worst-case scenarios, leading to better planning and decision-making in project management.

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Angle EBF is 45 degrees because angle ABC is 90 degrees and line D divides each side into two equal parts.

Given that lines AB and BC are parallel. Angles ABD and CBD are bisected by the dashed rays. Angle EBF is measured at 45 degrees because angle ABC is 90 degrees, line D divides each side into two equal parts, and half of 90 degrees is 45 degrees.

As a result, the angle EBF is 45 degrees because angle ABC is 90 degrees and line D divides each side into two equal parts, and half of 90 degrees is 45 degrees.

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The effective interest on £2000 at a 3% interest rate compounded quarterly over a period of 4 years is approximately £245.15.

To calculate the effective interest, we need to use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

A = the future value of the investment (including interest)

P = the principal amount (initial investment)

r = the annual interest rate (as a decimal)

n = the number of compounding periods per year

t = the number of years

In this case, the principal amount (P) is £2000, the annual interest rate (r) is 3% (or 0.03 as a decimal), the compounding is done quarterly (n = 4), and the investment period (t) is 4 years.

Plugging the values into the formula:

A = £2000(1 + 0.03/4)^(4*4)

= £2000(1 + 0.0075)^16

= £2000(1.0075)^16

≈ £2000(1.126825)

Calculating the future value:

A ≈ £2253.65

To find the effective interest, we subtract the principal amount from the future value:

Effective Interest = £2253.65 - £2000

≈ £253.65

Therefore, the effective interest on £2000 at a 3% interest rate compounded quarterly after 4 years is approximately £253.65.

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The sample minimum isn't an unbiased estimator as D. The mean of the sampling distribution of the sample minimums is 16, which is not 15.

A sampling distribution simply means a probability distribution that is obtained from a larger number of samples drawn from a population.

From the complete question, the sample minimum isn't an unbiased estimator as the mean of the sampling distribution of the sample minimums is 16, which is not 15.

In this case, the minimum of the ages of the officer is 15.

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Answer:

i believe 0.75%.

Step-by-step explanation:

because 63 divide by 84 equals 0.75

Answer:

Step-by-step explanation:

y=10

Answer: 10!

Step-by-step explanation:

Answer:

The answer is 34 I took the test .

Answer:

2x-1 is the answer (or if you're trying to multiply it, the answer is -8.)

Step-by-step explanation:

The rank of matrix A is 3.

To find the rank of matrix A, we can perform row reduction to obtain the row echelon form of the matrix. The rank of a matrix is defined as the maximum number of linearly independent rows or columns in the matrix.

Starting with matrix A, we can perform elementary row operations to transform it into row echelon form.

Step 1: Subtract twice the first row from the second row.

Step 2: Subtract 4 times the first row from the third row.

The resulting matrix in row echelon form is:

1   3    0

0  -2    8

0   -2  -4

From the row echelon form, we can see that there are three non-zero rows, which means the rank of matrix A is 3.

To find the rank of matrix A, we need to transform it into row echelon form by performing elementary row operations. These operations include multiplying a row by a constant, adding or subtracting rows, and swapping rows.

In the given exercise, we start with matrix A and perform the following elementary row operations:

Step 1: Subtract twice the first row from the second row.

To do this, we multiply the first row by 2 and subtract it from the second row. This operation eliminates the leading entry in the second row, resulting in a zero in the (2,1) position.

Step 2: Subtract 4 times the first row from the third row.

Similarly, we multiply the first row by 4 and subtract it from the third row. This operation eliminates the leading entry in the third row, resulting in a zero in the (3,1) position.

After performing these row operations, we obtain the row echelon form of matrix A:

1   3    0

0  -2    8

0   -2  -4

From the row echelon form, we can determine the rank of matrix A. The rank is equal to the number of non-zero rows, which in this case is 3.

Therefore, the rank of matrix A is 3.

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The equation of the line is y = x. Then the rule of reflection is (x, y) ⇒ (y, x).

It is the image of the point which is located in the opposite direction of a given point.

The rule of the refection is given will be

Firstly, the rule for reflecting a point about the line y = x is;

While reflecting on the line y = x, we get the reflected points by swapping the coordinates.

The equation of the line that passes through (0, 0) and (1, 1) is given as,

y - 0 = [(1 - 0) / (1 - 0)](x - 0)

y = x

The equation of the line is y = x. Then the rule of reflection is given as,

(x, y) ⇒ (y, x)

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Answer:

$0.95 x 6 = $5.70

Step-by-step explanation:

Multiply 95 x 6 and then divided the product by 100 or just multiply .95 x 6

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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Answer:

Step-by-step explanation:

There are No Solutions

Answer:

2x=523

Step-by-step explanation:

Divide both sides by 2 to cross out the 2x and divide the 523 by 2 to equal 261.5

Answer:

There is no explanation for this

Answer: slope is 1/2

Step-by-step explanation:

i hope this helps :)

Answer:

-16r^2 - 10r

Step-by-step explanation:

all you got to do is distribute

Answer:

0.18

Step-by-step explanation:

D 125 feet per second because 250 divided by 2 =150.

I think its D

hope this helps

A 5-gallon container of water weighs approximately 41.7 pounds (18.9 kilograms). This is because water has a density of 1 kilogram per liter or 8.34 pounds per gallon. Therefore, a 5-gallon container holds 18.9 liters of water, which weighs 18.9 kilograms or 41.7 pounds.

A gallon of water is equivalent to 8.34 pounds of water. So 5-gallon of water is equivalent to

= 5 * 8.34

= 41.70

A gallon of water is equivalent to 3.78 litres of water. So 5-gallon of water is equivalent to

= 5 * 3.78

= 18.90

A litre of water is equivalent to 1 kilogram of water. So 18.90 litres of water is equivalent to

= 18.90 * 1

= 18.90

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Answer:

16.35

Step-by-step explanation:

Using an inverse normal distribution, we can calculate the z score given the percentile, which can then be used to find our value.

First, we can use an inverse normal distribution calculator to figure out that the z score given the 75th percentile is 0.674.

Next, we know that the z score is (observed value - mean) / standard deviation. We can plug our values in to get

\(\frac{x-15}{2} = z\\\frac{x-15}{2} = 0.674\\x-15 = 0.674 * 2\\x = 0.674 * 2 + 15\\x= 16.348\)

Rounding, we get x = 16.35 as our answer

Based on their percentages, the total number of students in Ridgewood Junior High School is 170.

The percentage refers to the ratio or relative value of a variable or number compared to another.

Percentages are expressed as the product resulting from the multiplication of a quotient (numerator over denominator) by 100.

The percentage of students who brought their lunch = 20%

The number of students who brought their lunch = 34

Since all students either eat from the school cafeteria or bring their launch, the percentage of students who brought their lunch = 80% (1 - 20%).

34 = 20%

The percentage of students in the school = 100% (20% + 80%)

The number of students in the school = 34/20%

= 170

Thus, using percentage ratios, we can conclude that the total number of students in the school is 170.

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The rate of change for the height of the ice cream is [10 - (2π / 3) · (1 / 14) · h] / [(π / 3) · r²] units per second.

The volume of an ice cream cone (V), in cubic units, is described by the following formula:

V = (1 / 3) · (π · r²) · h                                     (1)

Where:

The rate of change for the height of the cone is derived from differentiating (1) with respect to time:

V' = (1 / 3) · (2π · r) · h · r' + (1 / 3) · (π · r²) · h'

V' = (2π / 3) · h · r' + (π / 3) · r² · h'

h' = [V' - (2π / 3) · h · r'] / [(π / 3) · r²]

Where:

If we know that V' = 10 and r' = 1 / 14, then the rate of change for the height of the cone is:

h' = [10 - (2π / 3) · (1 / 14) · h] / [(π / 3) · r²]

The height of the ice cream cone changes at a rate of [10 - (2π / 3) · (1 / 14) · h] / [(π / 3) · r²] units per second.

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Step-by-step explanation:

500-350=150, you have 150 to buy bottles with

150÷1.20=125

you can buy 125 bottles with 350 left over

Answer:

0 to 125 bottles

Step-by-step explanation:

because you have $500 dollars, and you want to have $350 dollars [at least] left over, you can only spend $150 [500 - 350 = 150] dollars.

if we can spend up to $150 dollars, there is a large range of numbers of bottles that would meet the situation.

(multiplied by 1.20 because that is the price of 1 bottle. You are finding how many "1.20s" go into a certain number--150. )

If you buy 0 bottles, you will be spending

1.20 × 0 = 0

0 dollars

If you spend 30 bottles, you will be spending

1.20 × 30 = 36

36 dollars

So, how many bottles can we possibly buy?

To find this number, we can work backwards from our equation

(our equation is 1.20 × number of bottles)

I will be writing "number of bottles" as "x"

We know that 1.20 · x ≤ 150

(≤ means less than or equal to. we can spend less than 150 dollars, or we can spend 150 dollars exactly)

So, we can divide both sides of our equation by 1.20 to find the number of bottles [x] fit into 150.

  1.20  ·  x    ≤    150

÷1.20                   ÷1.20

            x   ≤    125

So, we can buy 0 to 125 bottles of water {to have at least 350 dollars left over}

Answer:

-68

Step-by-step explanation:

please give me a brainlist

To determine how many dollars a restaurant makes per day, the restaurateur would need to measure the "revenue" metric.

Revenue is the total amount of money a business earns from its sales or services provided over a specific period of time, in this case, daily. It includes all income generated by the restaurant from selling food and drinks to customers.

Measuring revenue is essential for any business as it helps the owner understand the financial health of their enterprise. By tracking revenue over time, the restaurateur can identify patterns and trends and make informed decisions to increase profits and improve the business's overall performance.

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Answer:

33

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

Answer: 33

Step-by-step explanation: Write 220% as 220/100

Finding the fraction of a number is same as multiplying the fraction with the number 220/100 of 15

220/100 x 15

Therefore, the answer is 33

Answer:

R290.1

Step-by-step explanation:

Let

x = charge before he put his prices up

New charge = R320

Percentage increase in price = 7%

x + 7% of x = 320

x + 0.07 * x = 320

x + 0.07x = 320

1.07x = 320

x = 320/1.07

x = 299.06542056074

Approximately

x = R290.1

Charge before he put his prices up = R290.1

Answer:

b. 175 miles

Step-by-step explanation:

you just have to check where the line is to the 3.5 hour mark