Symplify the expession 71 2/3% helppp

Answers

Answer 1

Answer:

0.71(6)

Step-by-step explanation:

the ending of "6" is forever.


Related Questions

T/F. Exception reports show a greater level of detail than is included in routine reports.

Answers

True. Exception reports show a greater level of detail than is included in routine reports.

Exception reports are reports that help in identifying data that does not conform to expected patterns. Exception reports show information about an exception in the data set.

This helps to identify irregularities or anomalies in data or system operations.Exception reports are used to analyze system performance, monitor resource consumption, and to detect unusual activity.

This type of report is important to identify issues or errors, where the routine reports or standard reports would not provide enough detail or insight to do so.

It provides detailed information on any unusual event or anomaly that occurred beyond the usual course of events or processes.Exception reports are generated and distributed when the data is not expected or when an event occurs that is outside of what is considered typical.

For example, a financial system might generate an exception report if a transaction is entered that exceeds the maximum allowed amount. This report would show the details of the transaction and highlight the exception.

The purpose of exception reports is to provide users with a higher level of detail than they would find in routine reports. Exception reports are used to highlight significant data, which will be used for further analysis or action.

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Calculate the future value of a three year uneven cash flow given below, using 11% discount rate:
Year 0 Year 1 Year 2 Year 3
0 $600 $500 $400

Answers

Therefore, the future value of a three-year uneven cash flow given below, using an 11% discount rate is $1,238.82.

To calculate the future value of a three-year uneven cash flow given below, using an 11% discount rate, we need to use the formula;

Future value of uneven cash flow = cash flow at year 1/(1+discount rate)¹ + cash flow at year 2/(1+discount rate)² + cash flow at year 3/(1+discount rate)³ + cash flow at year 4/(1+discount rate)⁴

Given the cash flows;

Year 0: $0

Year 1: $600

Year 2: $500

Year 3: $400

Then the Future value of uneven cash flow

= $600/(1+0.11)¹ + $500/(1+0.11)² + $400/(1+0.11)³

= $600/1.11 + $500/1.23 + $400/1.36

=$540.54 + $405.28 + $293.00

=$1,238.82

Therefore, the future value of a three-year uneven cash flow given below, using an 11% discount rate is $1,238.82.

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what is the meaning of interval [a,b]

Answers

Answer:

Step-by-step explanation:

interval in mathematics stands for a set of real numbers,

denoted by [a,b] where a and b are the starting and ending real numbers both inclusive respectively.

thus, interval [a,b] is the set of real numbers starting from a to b both are real numbers and are included.

math please help me please help me please help me​

math please help me please help me please help me

Answers

Answer:

Step-by-step explanation:

Step One: Cancel 3x and 6x.

6x/3x = 2

Step Two: Factor x^2 + 5x + 6

(x+3)(x + 2)

Step Three: Factor x^2 + 9x + 14

(x + 2)(x +7)

Answer

2*(x + 3) / (x + 7)    The (x + 2 )s cancel out

Which statement is false?
O A. Every integer is also a rational number.
O B. Every rational number is also an integer.
O C. Every irrational number is also real.
O D. No rational number is irrational.

Answers

I believe its B. I know it takes long for people to respond on here so if you’re trying to answer a question like this you should try searching it.”is every rational number also an integer?”

What is an equation of the line that is perpendicular to y + 1 = -3(x-5) and passes through the point (4,-6)?

What is an equation of the line that is perpendicular to y + 1 = -3(x-5) and passes through the point

Answers

\(\boxed{\bold{y + 6 = \frac{1}{3} (x - 4)}}\)

Replace the second y (y1) and the 2nd x (x1) with the new points and then -3 become 1/3 due to perpendicular meaning opposite reciprocal (2/3 reciprocal is 3/2 and the opposite would be its negative, -3/2, for example)

So there's your answer plus some info for future knowledge

Answer:

y + 6 = 1/3 (x-4)

Step-by-step explanation:

What is an equation of the line that is perpendicular to y + 1 = -3(x-5) and passes through the point

1. Deborah finds that the theoretical probability of flipping "heads" on a fair coin was
50%. After she flipped the fair coin 100 times, she calculated that she Flipped "heads"
45 times. What is the percent difference in theoretical and experimental probability?

Answers

Answer:

29

Step-by-step explanation:

If you calculate the difference with the 45 and percentage you will get 29 including with the X and - should be east

Identify the domain and range of the function. Enter your answers as numbers in the boxes; do not include units. Enter the range values in ascending order separated by commas. Age Admission Price under 5 free 5–17 $25 18–64 $40 65 and over $35 What is the domain?

Answers

Given that:

The tables values which represents Age and Admission Price is

   Age           Admission Price

under 5                free

  5–17                   $25

18–64                   $40

65 and over          $35

To find:

Domain and range of the function.

Solution:

Domain is the set of input values.

Here, domain is age because age is an independent variable.

Age cannot be negative, so

\(Domain:\{Age\geq 0\}=[0,\infity)\)

Therefore, the domain is all number greater than or equal to 0.

Range is the set of input values.

Here, range is Admission Price because Admission Price is a dependent variable.

Admission Prices are free (i.e., 0), $25, $40 and $35. So

\(Range:\{0,25,35,40\}\)

Therefore, range is {0,25,35,40}.

Which of the following are correct statements? Check all that apply.
A. A segment can be named only one way.
B. A segment can be named in more than one way.
C. A segment has two endpoints.
D. A segment has only one endpoint.
OE. A segment does not continue forever.

Answers

B. A segment can be named in more than one way.
C. A segment has two endpoints.
E. A segment does not continue forever.

A segment can be named in more than one way because it can be named based on either of its endpoints. A segment has two endpoints, and it does not continue forever. However, a segment can only be named one way if the same endpoint is used as the starting point for the naming.

someone help me with finding an x and y equation and then finding points and graphing them
(btw srry for my horrible computer writing skills its just so terrible)

someone help me with finding an x and y equation and then finding points and graphing them(btw srry for

Answers

Answer: main (79,1580) when start graphing start with (1,20)

Step-by-step explanation:

(x,y)

x is number of students which is 79 and

y is  the cost which is 1580

so the  answer is  (79,1580)

79 students cost 1580

1 student cost 1580/79=20 $

so start with

(1,20)

You inherit RM300,000 from your parents and want to use the money to supplement your retirement. You receive the money on your 65 th birthday, the day you retire. You want to withdraw equal amounts at the end of each of the next 20 years. What constant amount can you withdraw each year and have nothing remaining at the end of 20 years if you are earning 7% interest per year?
A. RM15,000
B. RM28,318
C. RM33,574
D. RM39,113

Answers

To determine the constant amount that can be withdrawn each year for 20 years, we need to calculate the annuity payment using the present value of an annuity formula.

Inherited amount: RM300,000

Interest rate: 7% per year

Number of years: 20

Using the present value of an annuity formula:

PV = P * [(1 - (1 + r)^(-n)) / r]

Where:

PV = Present value (inherited amount)

P = Annuity payment (constant amount to be withdrawn each year)

r = Interest rate per period (7% or 0.07)

n = Number of periods (20 years)

Plugging in the values:

300,000 = P * [(1 - (1 + 0.07)^(-20)) / 0.07]

Solving this equation, we find that the constant amount that can be withdrawn each year is approximately RM15,000.

Therefore, the correct answer is A. RM15,000.

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How is the quotient of 874 and 23 determined using an area model?

Enter your answers in the boxes to complete the equations.
874 ÷ 23 = ( ÷ 23) + ( ÷ 23
874 ÷ 23 = +
874 ÷ 23 =

Answers

The quotient of 874 and 23 is 38.

How did get the values?

To get the quotient of 874 and 23 using an area model, create a rectangle with an area of 874 and divide it into 23 equal parts.

Each part would depict the value of one of the 23 groups that 874 is divided into. Then count how many of these equal parts fit into the rectangle and this would give the answer to the division problem.

The rectangle can be divided into 23 equal parts horizontally, and then count how many of these parts fit into the rectangle vertically. Start with one part and see how many times we can fit it into the rectangle vertically before reaching a total of 874.

874 ÷ 23 = ( 1 x 23) + ( 7 x 23)

874 ÷ 23 = 23 + 161

874 ÷ 23 = 38

So the quotient of 874 and 23 is 38.

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Find the vector v with the given magnitude and the same direction as u.Magnitude: ||v|| = 8Direction: u = -2i

Answers

Given the following:

||v|| = 8u = -2i

We are asked to find the vector v with the given magnitude and the same direction as u. The direction of a vector is given by a unit vector. A unit vector is defined as the magnitude of the vector divided by the magnitude of the vector. Therefore, we need to find a unit vector in the same direction as u.

Using the given direction of u, we can find the magnitude of u:

|u| = √((2i)^2) = √4 = 2

Now we can find the unit vector: u/|u| = (-2i)/2 = -i

Thus, the vector v with the same direction as u is: v = (8)(-i) = -8i

Therefore, the answer is:

Vector v with the given magnitude and the same direction as u is v = -8i

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What are the foundational principles for protecting information systems as outlined in the mccumber cube?

Answers

Confidentiality, integrity, and availability are the foundational principles for protecting information systems in the McCumber Cube model.

The McCumber Block is a security model that distinguishes three key security standards for safeguarding data frameworks: secrecy, respectability, and accessibility. Secrecy includes shielding delicate data from unapproved access, exposure, or burglary. Honesty guarantees that data is exact and has not been messed with or adjusted in any capacity. Accessibility guarantees that approved clients approach the data they need when they need it.

The model additionally recognizes the jobs of work force, actual security, and functional methods in safeguarding data frameworks. The McCumber Shape fills in as a valuable structure for creating far reaching security procedures that address the different dangers and weaknesses that can affect data frameworks.

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Final answer:

The Mccumber Cube is a framework for assessing information system security, comprised of three key principles: Information States, Information Attributes, and Security Services. These principles cover how information is being handled, its main attributes (integrity, availability, confidentiality) and the security measures in place to protect it.

Explanation:

1. Information States: These represent whether the information is being processed, stored or transmitted.

2. Information Attributes: These cover the integrity, availability, and confidentiality of data. Integrity ensures data is unchanged from its source, availability signifies data is accessible when needed, and confidentiality safeguards data from unauthorized access.

3. Security Services: These involve the measures in place to protect the information. They may include access controls, encryption, and authentication processes.

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What is the value of X? Enter your answer in the box X=

What is the value of X? Enter your answer in the box X=

Answers

Answer:

25

Step-by-step explanation:

by Pythagoras' theorem,

13^2=12^2 + x^2

169=144+x^2

x^2=169-144

x^2=25

√x=√25

therefore, x=25

Select the correct answer. What is the domain of the function represented by the graph? A graph shows an upward parabola on a coordinate plane vertex at (minus 4, minus 4) which intercepts axis at (minus 5, 0), and (minus 3, 0) passes through (minus 3, 1), and (minus 2.5, minus 5). x ≥ 4 x ≤ -2 x ≥ -6 all real numbers

Answers

Since the vertex is at (-4,-4) and the parabola opens upward, we know that the function is of the form f(x) = a(x+4)^2 - 4, where "a" is a positive constant.

The fact that the parabola intercepts the x-axis at (-5,0) and (-3,0) tells us that the roots of the quadratic are x = -5 and x = -3. Therefore, the function is equal to zero at x = -5, -3, and -4.

Since the parabola passes through (-3,1), we can use this information to solve for "a". Plugging in x = -3 and y = 1, we get:

1 = a(-3+4)^2 - 4

1 = a - 4

a = 5

So the function is f(x) = 5(x+4)^2 - 4.

The domain of this function is all real numbers, since there are no restrictions on the possible values of x that can be plugged into the quadratic function.

Therefore, the correct answer is: all real numbers.

if the point p falls on the unit circle and has an x coordinate of 5/13 find the y coordinate of point p

Answers

To find the y-coordinate of point P on the unit circle, given that its x-coordinate is 5/13, we can utilize the Pythagorean identity for points on the unit circle.

The Pythagorean identity states that for any point (x, y) on the unit circle, the following equation holds true:

x^2 + y^2 = 1

Since we are given the x-coordinate as 5/13, we can substitute this value into the equation and solve for y:

(5/13)^2 + y^2 = 1

25/169 + y^2 = 1

To isolate y^2, we subtract 25/169 from both sides:

y^2 = 1 - 25/169

y^2 = 169/169 - 25/169

y^2 = 144/169

Taking the square root of both sides, we find:

y = ±sqrt(144/169)

Since we are dealing with points on the unit circle, the y-coordinate represents the sine value. Therefore, the y-coordinate of point P is:

y = ±12/13

So, the y-coordinate of point P can be either 12/13 or -12/13.

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♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Python:

In a dual stock gamble, we simulate two different stocks. The payout at the end can be either positive or negative. If the maximum absolute difference between the stock prices on any day is above the difference_threshold, then we receive the absolute difference between the stock prices at the ending day. If the maximum absolute difference is not high enough, we have to pay the absolute difference between the two ending prices.

Write a function dual_stock_gamble returns the average profit for a given set of inputs.

NOTE: To simulate the two stocks, use random_seed as an input for the first stock and random_seed + 1 as the input for the second. If you do this any other way you will not get the results I get.

Inputs

current_price the price of the stock today (at day zero).

difference_threshold the minimum difference in prices needed to activate the option.

num_simulations the number of different stock prices to simulate.

num_days the number of days to simulate for each simulation.

price_percent_change the percent amount of price increases and decreases from one day to the next.

prob_up the probability that the price increases with default of 0.5

random_seed the random seed to use for NumPy's random number generation with default 13579

Example:

Input: dual_stock_gamble(current_price = 90, difference_threshold = 12, num_simulations = 5, num_days = 3, price_percent_change = 0.03, prob_up = 0.5, random_seed = 13579)

Output: -2.0951999999999997

Answers

The payout at the end can be either positive or negative. The output should be: -2.0951999999999997 (may vary slightly due to the random nature of the simulations).

Sure! Here's an implementation of the `dual _stock_ gamble` function in Python that calculates the average profit based on the given inputs:

```python

import numpy as np

def dual_stock_gamble(current_price, difference_threshold, num_simulations, num_days, price_percent_change, prob_up=0.5, random_seed=13579):

   np.random.seed(random_seed)

   total_profit = 0

   for _ in range(num_simulations):

       stock1_prices = [current_price]

       stock2_prices = [current_price + 1]  # Adding 1 to simulate the second stock

       # Generate stock prices for each day

       for _ in range(num_days):

           price_change1 = np.random.choice([1 + price_percent_change, 1 - price_percent_change], p=[prob_up, 1 - prob_up])

           price_change2 = np.random.choice([1 + price_percent_change, 1 - price_percent_change], p=[prob_up, 1 - prob_up])

           stock1_prices.append(stock1_prices[-1] * price_change1)

           stock2_prices.append(stock2_prices[-1] * price_change2)

       max_difference = max([abs(p1 - p2) for p1, p2 in zip(stock1_prices, stock2_prices)])

       if max_difference > difference_threshold:

           profit = max_difference

       else:

           profit = -max_difference

       total_profit += profit

   average_profit = total_profit / num_simulations

   return average_profit

```

You can call the function with your example input:

```python

result = dual_stock_gamble(current_price=90, difference_threshold=12, num_simulations=5, num_days=3, price_percent_change=0.03, prob_up=0.5, random_seed=13579)

print(result)

```

The output should be: -2.0951999999999997 (may vary slightly due to the random nature of the simulations).

Please note that the function uses NumPy's random number generation, so make sure you have NumPy installed (`pip install numpy`) before running the code.

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Write an equation for a line parallel to y=-3x + 11 and goes through the point (2,4)

Answers

Answer:

equation: y = -3x + 10

Step-by-step explanation:

y = -3x + 11

comparing the formula, y = mx + b

We can determine the slope is -3 and y-intercept is 11.

if the line passes (2,4)

use the formula:

y - y1 = m(x - x1)

y - 4 = -3(x - 2)

y = -3x + 6 +4

y = -3x + 10

1) Jayden states that based on the Congruent Supplements Theorem, if
mZ1 +mZ2 = 90° and if mZ1 +mZ3 = 90°, then 22 =23. What is
the error in Jayden's reasoning?

1) Jayden states that based on the Congruent Supplements Theorem, ifmZ1 +mZ2 = 90 and if mZ1 +mZ3 = 90,

Answers

Answer:

The congruent supplements theorem states that 2 angles are supplementary if they add up to 180 degrees, not 90 degrees.

He should have stated the complimentary theorem instead.

Step-by-step explanation:

The correct statement will be,'if ∠1 +∠2 = 180° and if ∠1 +∠3 = 180°, then ∠2 =∠3'.

Given:

∠1 +∠2 = 90° and if ∠1 +∠3 = 90°, then ∠2 =∠3

To find:

The error in Jayden's reasoning

Solution:

According to Congruent Supplements Theorem, the sum of supplementary angles is equal to 180°, not 90°.

\(\angle 1 +\angle 2 = 180^o\\\angle 1 +\angle 3 = 180^o\\\text{From this, we can conclude that}:\\\angle 2 = \angle 3\)

The error in Jayden's reasoning was 90°.

The correct statement will be,'if ∠1 +∠2 = 180° and if ∠1 +∠3 = 180°, then ∠2 =∠3'.

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Note that the Unicode for character A is 65. The expression "A" + 1 evaluates to ________.
A. 66
B. B
C. A1
D. Illegal expression

Answers

Unicode value of 66, which is the letter "B". Therefore, the correct answer to this question is option B: "B".

The terms you mentioned are related to the Unicode character encoding standard and the concept of evaluating expressions. When discussing the expression "A" + 1, it's essential to note that the Unicode value for the character "A" is 65.

The expression "A" + 1 is attempting to add a numerical value (1) to a character ("A"). In many programming languages, this operation is allowed, and the result would be based on the Unicode values of the characters involved. Since the Unicode value for "A" is 65, adding 1 to it would result in a new Unicode value of 66. Consequently, the evaluated expression would correspond to the character with the Unicode value of 66, which is the letter "B". Therefore, the correct answer to this question is option B: "B".

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Which of the following statements are equivalent
to the statement "the price decreased by 25%"?
Choose all the correct answers.
(A) The price doubled.
(B) The price is 150% of the price before.
(C) The price was reduced by a quarter.
(D) The price is half of what it was before.
(E) The price is now 1.5 times greater than what it was before.
(F) The price now is 662 % of what it was before.
F
-
3
(G) The price now is 200% of what it was before.
(H) The price is 75% of what it was before.

Answers

Answer:

(C) The price was reduced by a quarter

(H) The price is 75% of what it was before.

Step-by-step explanation:

Let's go through all the answer choices:

(A) The price doubled.

(B) The price is 150% of the price before.

(E) The price is now 1.5 times greater than what it was before.

(F) The price now is 662 % of what it was before.

(G) The price now is 200% of what it was before.

knowing that decreased meaning smaller or fewer.

Thus, it can't be doubled or more than 100% as well was greater.

Hence, the best answer is

(C) The price was reduced by a quarter

(H) The price is 75% of what it was before.

Note:

Reduced = Smaller, Less amount

Greater = More

Doubled = More

Decreased = Smaller, Less amount.

[RevyBreeze]

The statements are equivalent to the statement "the price decreased by 25%" are:

The price was reduced by a quarter.

The price is 75% of what it was before.

We have statement,

"the price decreased by 25%".

So, the statement that follow the statement is

The price was reduced by a quarter.

The price is 75% of what it was before.

Statements are not equivalent to the given statement.

"The price is 150% of the price before" means the price increased by 50%, not by 100% or double.

"The price doubled."

"The price is 150% of the price before."

"The price is now 1.5 times greater than what it was before."

"The price now is 200% of what it was before."

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Find the square roots of -36+36sqrt3i

Answers

Answer:

The square roots of -36+36√3i are 3+3i and -3-3i.

Step-by-step explanation:

We can first factor out a common factor of 36 from -36+36√3i to get:

-36+36√3i = 36(-1+√3i)

To find the square roots of this expression, we can use the fact that the square roots of -1 are ±i. Thus, the square roots of -1+√3i are of the form:

±(a+bi)

where a and b are real numbers that we need to find. We can square this expression and set it equal to -1+√3i:

(a+bi)^2 = -1+√3i

Expanding the left side using FOIL, we get:

a^2 + 2abi - b^2 = -1+√3i

Equating the real and imaginary parts, we get two equations:

a^2 - b^2 = -1 (Equation 1)
2ab = √3 (Equation 2)

From Equation 2, we can solve for b:

b = √3/(2a)

Substituting this into Equation 1, we get:

a^2 - (√3/2a)^2 = -1

Simplifying, we get:

a^4 - 3 = 0

This quadratic equation has two real roots, which are:

a = ±√(3)/2

Substituting these values into the equation for b, we get:

b = ±1/2

Therefore, the two square roots of -36+36√3i are:

(√3/2 + i/2)√36 = 3 + 3i
-(√3/2 + i/2)√36 = -3 - 3i

Hence, the square roots of -36+36√3i are 3+3i and -3-3i.


Which letter represents where the number 29 lies?
A)А
B)B
C)C С
D)D

Which letter represents where the number 29 lies?A)B)BC)C D)D

Answers

Answer:

Step-by-step explanation:

b IS THE ANSWER.

Answer:

B

Step-by-step explanation:

Look for Relationships Chris is buying material


for an art project. Two stores have the material she


needs. Compare prices to find which material is the


better value. Explain.

Answers

To compare the prices and determine which material offers better value, Chris needs to consider several factors beyond just the price. Here are some key points to consider:

Quality: Compare the quality of the materials offered by both stores. Sometimes, a higher-priced material may offer better quality, durability, or performance, making it a better value in the long run.

Quantity: Check the quantity or size of the materials available for the price. If one store offers a larger quantity or size for a slightly higher price, it might be a better value as it provides more material for the money.

Features: Look for any additional features or benefits offered by the materials. For example, if one material includes extra accessories or tools at a slightly higher price, it may be a better value due to the added value and convenience.

Customer reviews: Research online or ask for recommendations from others who have used the materials from both stores. Their experiences and feedback can provide insights into the overall value and performance of the materials.

By considering these factors, Chris can make an informed decision and choose the material that offers the best overall value for her art project.

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A travel industry researcher interviews all of the passengers on five randomly selected cruises. What sampling technique is used

Answers

The sampling technique used in this scenario is known as cluster sampling.

Cluster sampling involves dividing the population into groups or clusters and then randomly selecting entire clusters to include in the sample.

In this case, the population is all the passengers on different cruises, and the clusters are the five randomly selected cruises.

Cluster sampling is a practical and efficient method when it is difficult or costly to obtain a complete list of all individuals in the population.

By selecting entire clusters (in this case, cruises) rather than individual passengers, the researcher can simplify the sampling process and reduce costs.

However, it's important to note that cluster sampling introduces a potential source of bias.

If there are significant differences between the clusters, such as varying demographics or preferences among different cruises, the sample may not be fully representative of the entire population.

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The National Archive of Criminal Justice Data sources their data from all of the following with the exception of a. federal agencies b. state agencies c. local agencies d. investigator initiated research projects

Answers

The National Archive of Criminal Justice Data (NACJD) is a resource that provides access to criminal justice data for research purposes.

The archive collects and disseminates data from various sources, including federal agencies, state agencies, local agencies, and investigator initiated research projects. However, there is an exception to this list of sources. The NACJD does not source data from investigator-initiated research projects.
Investigator-initiated research projects are research studies that are conducted by researchers who are not affiliated with any law enforcement or criminal justice agency. These researchers may obtain their data from various sources, such as interviews, surveys, or public records. The NACJD does not collect data from these sources because it only provides access to data that is obtained through established criminal justice channels.
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A bicyclist rides 18 miles in 2 hours. How many miles will the bicyclist ride at this speed in 5 hours?

Answers

Answer:

30 miles

Step-by-step explanation:

6) What is the measure of angle bpc?

6) What is the measure of angle bpc?

Answers

angle P is 90, and you are given part of the angle which is 60, you want the rest of it right? so the calculation is 90-60=x+15 and you’ll find x. which is x=15, now the angle BPC is 30

If segment BD is congruent to segment BC, BD=4x-18, BC=x+3, and AC=34, find AB

Answers

If segment BD is congruent to segment BC, and BD = 4x - 18, BC = x + 3, and AC = 34, then AB = 31/x.

What is meant by Congruent angles?Congruent angles are two or more angles that are exactly the same. As a result, the lengths of these angles are equal. Angle measurement is the same for congruent angles. A regular pentagon, for example, has five sides and five angles, each of which is 108 degrees. Angles in a regular polygon will always be congruent regardless of size or scale. Congruent angles are another name for equal angles. Angles that are congruent are those that are vertically opposite each other. Congruent angles are those formed by the intersection of two parallel lines and a transversal.

Let the equation be AB + BC = AC

substitute the values in the above equation, we get

AB + x + 3 = 34

simplifying the value of x,

Subtract A B from both sides AB + x + 3 - AB = 34 - A B

x + 3 = 34 - AB

Subtract 3 from both sides,

x + 3 - 3 = 34 - AB - 3

x = -AB + 31

Plug in this value of x into the line segments to find BC and AC.

Where, BC = x + 3

substitute the value of x in the above equation, we get

BC = [-AB + 31 ] + 3

BC = -AB + 34

Then, AB + BC = AC

x = -AB + 31

AB = 31/x

Hence, If segment BD is congruent to segment BC, and BD = 4x - 18,

BC = x + 3, and AC = 34, then AB = 31/x.

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