Solve inequality.
-2 w<24

Answers

Answer 1

From the inequality given by -2w < 24, w is greater than -12.

Inequality refers to the relationship between two non-equal expressions. It can be denoted by > for greater than, < for less than, >/= for greater than and equal to, and </= for less than and equal to.

Solving the inequality,

-2w < 24

Making sure the unknown variable is in one side and the constants in the other side.

-2w < 24

Divide both sides by -2, the coefficient beside the unknown variable,

(-2/-2)w < 24/-2

w < -12

Note that when we multiply or divide by a negative number

we must reverse the inequality.

w < -12 ⇒ w > -12

Therefore, w is greater than -12.

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Related Questions

HELPPP pweaseeee :( im confused again

HELPPP pweaseeee :( im confused again

Answers

Answer:

its 23

Step-by-step explanation:

23-19 is 4

4 squared is 2

The probability that a randomly selected visitor to a certain website will be asked to participate in an online survey is 0. 40. Avery claims that for the next 5 visitors to the site, 2 will be asked to participate in the survey. Is avery interpreting the probability correctly?.

Answers

Avery interpreting the Probability is wrong because 0.40 represents probability in the long run over many visits to the site

What is meant by Probability?

Probability: The chance that a given event will occur. The ratio of the number of outcomes in an exhaustive set of equally likely outcomes that produce a given event to the total number of possible outcomes

given that the probability that a randomly selected visitor to a certain website will be asked to participate in an online survey is 0. 40

Avery claims that for the next 5 visitors to the site, 2 will be asked to participate in the survey

Avery interpreting the Probability is wrong because 0.40 represents probability in the long run over many visits to the site

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Answer:

Because 0.40 represents likelihood over many visits to the site in the long term, Avery's interpretation of the probability is incorrect.

Step-by-step explanation:

What does the term probability mean?

Probability: The likelihood that a specific occurrence will take place. the proportion between the total number of conceivable outcomes and the number of outcomes in a comprehensive collection of equally likely outcomes that result in a specific event

Given that there is a 0. 40 percent chance that a randomly chosen website visitor will be requested to take an online survey

Avery asserts that of the following 5 site visits, 2 will be required to complete the survey.

Because 0.40 represents chance over the long term and several visits to the site, Avery's interpretation of the probability is incorrect.

The triangle below is a right triangle what is the length of UV in centimeters

The triangle below is a right triangle what is the length of UV in centimeters

Answers

Answer:

56

Step-by-step explanation:

formula- a^2 + b^2 = c^2

33^2 + b^2 = 65^2

1089 + b^2 = 4225

b^2 = 3136

find square root

b = 56

If I1 ⊇ I2 ⊇ .... In ⊇... is a nested sequence of intervals and if In = [an; bn], show that a1 ≤ a2 ≤ ....... ≤ an ≤ ........ and b1 ≤ b2 ≤..... bn ≤ ......

Answers

The intervals are nested, each subsequent interval is contained within the previous one. Mathematically, this means I₁ ⊇ I₂ ⊇ ... In ⊇ ... . Therefore, we have:

1. I₁ ⊇ I₂ implies [a₁; b₁] ⊇ [a₂; b₂], which means a₁ ≤ a₂ and b₁ ≥ b₂.
2. I₂ ⊇ I₃ implies [a₂; b₂] ⊇ [a₃; b₃], which means a₂ ≤ a₃ and b₂ ≥ b₃.

To show that a1 ≤ a2 ≤ ... ≤ an ≤ ..., we need to use the fact that the sequence of intervals is nested, meaning that each interval is contained within the next one.

First, we know that I1 contains I2, so every point in I2 is also in I1. That means that a1 ≤ a2 and b1 ≥ b2.

Now consider I2 and I3. Again, every point in I3 is also in I2, so a2 ≤ a3 and b2 ≥ b3.

We can continue this process for all the intervals in the sequence, until we reach In. So we have:

a1 ≤ a2 ≤ ... ≤ an-1 ≤ an

and

b1 ≥ b2 ≥ ... ≥ bn-1 ≥ bn

This shows that the endpoints of the intervals are ordered in the same way.

Given that I₁ ⊇ I₂ ⊇ ... In ⊇ ... is a nested sequence of intervals and In = [an; bn], we can show that a₁ ≤ a₂ ≤ ... ≤ an ≤ ... and b₁ ≥ b₂ ≥ ... ≥ bn ≥ ... as follows:

Since the intervals are nested, each subsequent interval is contained within the previous one. Mathematically, this means I₁ ⊇ I₂ ⊇ ... In ⊇ ... . Therefore, we have:

1. I₁ ⊇ I₂ implies [a₁; b₁] ⊇ [a₂; b₂], which means a₁ ≤ a₂ and b₁ ≥ b₂.
2. I₂ ⊇ I₃ implies [a₂; b₂] ⊇ [a₃; b₃], which means a₂ ≤ a₃ and b₂ ≥ b₃.

Continuing this pattern for all intervals in the sequence, we can conclude that a₁ ≤ a₂ ≤ ... ≤ an ≤ ... and b₁ ≥ b₂ ≥ ... ≥ bn ≥ ... .

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Study the following program:
x = 1 while True: if x % 5 = = 0: break print(x) x + = 1 What will be the output of this code?

Answers

The output of the following code snippet will be 1, 2, 3, and 4.

The reason is that the while loop runs infinitely until the break statement is executed. The break statement terminates the loop if the value of x is divisible by 5. However, the value of x is incremented at each iteration of the loop before checking the condition. Here is the step-by-step explanation of how this code works:

Step 1: Assign 1 to x.x = 1

Step 2: Start an infinite loop using the while True statement.

Step 3: Check if the value of x is divisible by 5 using the if x % 5 == 0 statement.

Step 4: If the value of x is divisible by 5, terminate the loop using the break statement.

Step 5: Print the value of x to the console using the print(x) statement.

Step 6: Increment the value of x by 1 using the x += 1 statement.

Step 7: Repeat steps 3-6 until the break statement is executed.

Therefore, the output of the code will be: 1 2 3 4.

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Nellie's drama club is taking a trip by bus to see a performance at the Carmine Theater. The theater is 125 miles from Nellie's school. The bus driver plans to stop and refuel after 1.5 hours, then complete the trip. The bus driver plans to drive at an average speed of 50 miles per hour.
Which equation can you use to predict how many hours, x, the second part of the trip will take?

Answers

The equation to predict how many hours, x, the second part of the trip will take is :x = (total distance - distance traveled in the first part) / average speed x = (125 - 75) / 50  x = 1

To predict how many hours, x, the second part of the trip will take, we can use the equation:

x = (total distance - distance traveled in the first part) / average speed

In this case, the total distance of the trip is 125 miles, and the distance traveled in the first part is the product of the average speed and the time taken for the first part, which is 50 miles/hour * 1.5 hours = 75 miles.

Substituting these values into the equation, we have:

x = (125 - 75) / 50

Simplifying the equation, we get:

x = 50 / 50

x = 1

Therefore, the equation to predict how many hours, x, the second part of the trip will take is:

x = (total distance - distance traveled in the first part) / average speed

x = (125 - 75) / 50

x = 1

This means that the second part of the trip will take 1 hour to complete after the bus stops to refuel.

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✨I NEED A SMART PERSON✨ (math)

I NEED A SMART PERSON (math)

Answers

Answer:

A and E.

Step-by-step explanation:

Using the math from 7th grade, 6 rooted is 36/9=4+10 is 14. Everything else you must multiply everything in parenthesis, by the outside number, then you add them. E is right because -15+35=20-6=14. Yw.

All I know is A and E are one of them

Round the number to 3
significant figures.
0.2590100

Round the number to 3significant figures.0.2590100

Answers

Answer:

0.259

Step-by-step explanation:

There are some rules in determining what numbers are significant figures.

All non-zero numbers are significant.Zeroes between two non-zero numbers are significant.Zeroes at the front of a number are not significant.Trailing zeroes are only significant if there is a decimal point.

We can determine how many significant figures the number currently has.

The first zero is not significant.2, 5, 9, and 1 are significant because they are non-zero numbers.The zero between 9 and 1 is significant because it is a captive zero.The zeroes at the end of the number are significant because they are trailing zeroes.

There are currently seven significant figures. In order to round the number to three significant figures, we must round it to the thousandths place, or the 9.

The rounding rules are:

If the digit in the place after the number we are rounding is less than 5, you round down (or in other words, keep the number the same; Ex: 74 becomes 70)If that digit is greater than 5, you round up (Ex: 78 becomes 80)

Since 0 is less than 5, the number rounded to 3 significant figures is 0.259.

Simplify the following expression: 7n (-3+ 6n) - 2n (3 + 7n)​

Answers

Answer:

=28n2−27n

Step-by-step explanation:

answer
28nsquared -27n
Simplify the following expression: 7n (-3+ 6n) - 2n (3 + 7n)

F)Determine the range of prices that the charity could consider, in order to make a monthly profit of at least $3000. (2 marks)

Answers

The charity needs to consider a range of prices that will guarantee it a monthly profit of at least $3000. To determine the range of prices that can generate such profit, we need to make use of the total cost function and the revenue function.

These functions can help us identify the price range that will provide a profit margin of $3000 or more.Let’s consider the total cost function first:Total Cost (TC) = Fixed Cost (FC) + Variable Cost (VC)In this problem, the fixed cost is given as $8000. Variable cost is calculated as VC = $20x (where x is the number of units of books sold).So, TC = $8000 + $20xFor the revenue function, the price per book is given as $30. We also know that the number of books sold is equal to the number of books printed and that the book printer requires a minimum order of 1000 books before they can start printing.

Therefore, the revenue function is given as R = $30x, where x is the number of units of books sold.Using these two functions, we can now calculate the profit function:Profit = Revenue - Total CostP = R - TCP = $30x - ($8000 + $20x)P = $10x - $8000We want to determine the range of prices that will generate a monthly profit of at least $3000. Therefore, we can set up an inequality and solve for x as follows:$10x - $8000 ≥ $3000$10x ≥ $11000x ≥ 1100Hence, x should be greater than or equal to 1100 to generate a profit of $3000 or more. Since the book printer requires a minimum order of 1000 books, the charity should set its price such that it will sell more than 1000 books to achieve the profit target.

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Pls answer ASAP!! ILL MARK BRAINLIEST

Pls answer ASAP!! ILL MARK BRAINLIEST

Answers

Answer:

See explanation

Step-by-step explanation:

In this question, you are given a table with x and y points.

If you convert those values into coordinate points (x, y) you'll get the following points:

(4, 3) (2, 6) (5, 0)

A coordinate point is (x, y) meaning you should find the first value on the x-axis (horizontal axis) and move up y units.

Or, you can also find the y value on the y-axis (vertical axis) and move left x units.

For example, for (4, 3) you should find 4 on the x-axis, and move up 3 units.

For (2, 6) you should find 2 on the x-axis, and move up 6 units.

For (5, 0) you should find 5 on the x-axis, and move up 0 units.

Hope that makes sense, let me know if you have any questions.

I have also attached the points graphed on a graphing calculator to avoid any confusion.

Pls answer ASAP!! ILL MARK BRAINLIEST

In April, Neil Armstrong ran a 5-kilometer race in 30
minutes to support his local hospital. In October, he
will run a 10-kilometer race to support the animal
shelter. If he runs at the same rate, how many minutes
will it take Warren to run the race in October?

Answers

Answer:

60 minutes

Step-by-step explanation:

It took him 30 minutes to run 5 kilometers, so doubling 5 to 10 would double 30 to 60 minutes

A runner for team 1 can run a race in 58 seconds. Team 1 has running times with a mean of 64.2 seconds and a standard deviation of 1 seconds. A runner for team 2 can run a race in 56.1 seconds. Team 2 has running times with a mean of 62.1 seconds and a standard deviation of 4.2 seconds.


Required:

a. Which runner is faster?

b. What is the Z-score associated with the running time of runner for team 1?

c. What is the Z-score associated with the running time of runner for team 2?

Answers

a. Team 2's runner is faster as their time of 56.1 seconds is less than that of Team 1's runner who can run a race in 58 seconds.

b. The Z-score associated with the running time of runner for team 1 is -6.2.

c. The Z-score associated with the running time of runner for team 2 is -1.43.

a. Team 2's runner is faster as their time of 56.1 seconds is less than that of Team 1's runner who can run a race in 58 seconds.

b. Z-score associated with the running time of runner for team 1 will be calculated as follows:

Z-score = (X - µ) / σ

where X = runner's time = 58 seconds, µ = mean of the team = 64.2 seconds, σ = standard deviation of the team = 1 second

So, Z-score = (58 - 64.2) / 1= -6.2

Therefore, the Z-score associated with the running time of runner for team 1 is -6.2.

c. Z-score associated with the running time of runner for team 2 will be calculated as follows:

Z-score = (X - µ) / σ

where X = runner's time = 56.1 seconds, µ = mean of the team = 62.1 seconds, σ = standard deviation of the team = 4.2 seconds

So, Z-score = (56.1 - 62.1) / 4.2= -1.43

Therefore, the Z-score associated with the running time of runner for team 2 is -1.43.

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90 POINTS!!! PLEASEE HELP AND SHOW WORK. I WILL GIVE BRAINLIEST IF ALL WORK IS SHOWN THANKSS.

90 POINTS!!! PLEASEE HELP AND SHOW WORK. I WILL GIVE BRAINLIEST IF ALL WORK IS SHOWN THANKSS.

Answers

Answer:

18. 3.3years

Step-by-step explanation:

18. 20,000 - (20,000 - .15x) = 10,000

15% of 20,000 is 3,000

Please help me get the answer

Please help me get the answer

Answers

Answer: c

Step-by-step explanation:

C is the answerrrrrrrrr

PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!

PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS

Answers

Answer:

uhhhhhhh

Step-by-step explanation:

Answer:

about 314 units

Step-by-step explanation:

i was confused but i hope this helps

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

Mason is working two summer jobs, making $12 per hour landscaping and making $15 per hour clearing tables. In a given week, he can work a maximum of 16 total hours and must earn no less than $210. Also, he must work no less than 12 hours clearing tables. If x represents the number of hours landscaping and y represents the number of hours clearing tables, write and solve a system of inequalities graphically and determine one possible solution.

Inequality 1:
Inequality 2:
Inequality 3:

Mason could work ( ) hours landscaping and ( ) hours clearing tables.

Mason is working two summer jobs, making $12 per hour landscaping and making $15 per hour clearing tables.
Mason is working two summer jobs, making $12 per hour landscaping and making $15 per hour clearing tables.

Answers

Answer:

I can't see the images so if you can attach a link i will do it

Step-by-step explanation:

Hi, it would be much appreciated if someone could help me with this question. All screenshots are attached. Thanks so much :)

Hi, it would be much appreciated if someone could help me with this question. All screenshots are attached.
Hi, it would be much appreciated if someone could help me with this question. All screenshots are attached.
Hi, it would be much appreciated if someone could help me with this question. All screenshots are attached.

Answers

Answer:

Step-by-step explanation:

25x6

the following is a relative frequency distribution of grades in an introductory statistics course. grade relative frequency a 0.22 b ? c 0.18 d 0.17 f 0.06

Answers

The relative frequency for B grade is 0.37.

The relative frequency, also called empirical probability or experimental probability refers to the ratio of the number of desired outcomes of an event occurring to the total number of trials in an actual experiment. In other words, a relative frequency reveals how often a specific type of event takes place within the total number of observations.

It is determined as a quotient value of frequency over the total possible outcomes. The sum of all relative frequencies for a particular experiment is always one. Hence, based on the given relative frequency distribution,

0.22 + x + 0.18 + 0.17 + 0.06 = 1

0.63 + x = 1

x = 1 – 0.63

x = 0.37

The relative frequency for B grade is 0.37.

Note: The question is incomplete. The complete question probably is: The following is a partial relative frequency distribution of grades in an introductory statistics course. Grade = A, B, C, D, F. Relative Frequency = 0.22, x, 0.18, 0.17, 0.06. Find the value of x, the relative frequency for B grade.

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What function is a vertical shift of f(x) = x?

A) g(x) = 3f(x)

B) g(x) = f(x - 3)

C) g(x) = f(x) + 4

D) g(x) = 1/2 f(x)

Answers

Answer:

C) g(x) = f(x) + 4

Step-by-step explanation:

A vertical shift is where you shift, slide or translate the whole graph up or down (on a graph) The way this shows up in the equation is just a number tacked on to the end of the equation. A +anumber (like the +4 in the answer) slides the function UP four units. A

-anumber would slide the function DOWN instead.

As for the other answers:

A) the 3multiplied in front is a vertical STRETCH.

D) the 1/2 multiplied in front is a vertical shrink (smash)

B) The -3 in close tight with the x is a horizontal shift(slide, translate) It is a RIGHT shift. A +anumber would be a LEFT shift. Horizontal shift seem kind of backwards. + goes LEFT and - goes RIGHT.

how many even numbers of 3 digits can be formed of the digits 1,2,3,4,5,6 when repitition of digits is allowed

Answers

Answer:

To find the number of three-digit numbers that can be formed using the digits 1, 2, 3, 4, 5, and 6, with repetition allowed, we can use the formula for permutations:

Step-by-step explanation:

Number of permutations = (number of choices for the first digit) x (number of choices for the second digit) x (number of choices for the third digit)

In this case, we have 6 choices for each digit, since we are allowed to repeat the digits. Using the formula, we get:

Number of permutations = 6 x 6 x 6 = 216

Therefore, there are a total of 216 three-digit numbers that can be formed using the digits 1, 2, 3, 4, 5, and 6, with repetition allowed.

However, not all of these will be even. For a number to be even, the last digit must be even, so the last digit can only be 2, 4, or 6. This means that there are 3 choices for the last digit.

Therefore, the total number of even 3-digit numbers that can be formed using the digits 1, 2, 3, 4, 5, and 6 is 366=108.

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Holly Krech is planning for her retirement, so she is setting up a payout annuity with her bank. She wishes to receive a payout of $1,800 per month for twenty years. She must deposit $218,437.048 and the total amount that Holly will receive from her payout annuity will be $432,000.

A. How large a monthly payment must Holly Krech make if she saves for her payout annuity with an ordinary annuity, which she sets up thirty years before her retirement?

B. how large a monthly payment must she make if she sets the ordinary annuity up twenty years before her retirement?

Answers

A. To save for her payout annuity with an ordinary annuity set up thirty years before her retirement, Holly Krech must make a monthly payment of $175.97.

B. If she sets up the ordinary annuity twenty years before her retirement, Holly Krech must make a monthly payment of $432.00.

What is the monthly payment required for an ordinary annuity set up 30 years before retirement?

To calculate the monthly payment for an ordinary annuity set up thirty years before retirement, we can use the formula for the present value of an ordinary annuity. Given the deposit amount of $218,437.048 and the total amount received from the annuity of $432,000, and solving for the monthly payment, we find that Holly must make a monthly payment of $175.97.

How much must be paid monthly for an ordinary annuity set up 20 years before retirement?

For an ordinary annuity set up twenty years before retirement, we use the same formula for present value. With the deposit amount and total amount received unchanged, we solve for the monthly payment, which comes out to be $432.00.

It's important to note that the monthly payment increases when the annuity is set up closer to the retirement date. This is due to the shorter time period available for saving, resulting in a higher required contribution to reach the desired payout amount.

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Olympia ate lunch at a restaurant the amount of her check was $6.89 she left eight dollars on the table which included the amount she owed plus a tip for the waiter which equation shows t and the amount of her tip in dollars

Answers

The equation will be like this,

6.89 + t = 8.00

t = 8 - 6.89

t = 1.11

tips = $1.11

6.89 + t = 8.00

To sum up the total amount of cash and coins you have, first, sort each invoice and coin by denomination. Create a separate stack for each denomination and count how many denominations or coins you have.

For each denomination of banknotes and coins, multiply the number you have by the denomination. For example, if you have 4 out of $ 10, multiply by 4x10 to get $ 40. If you have three $ 5 bills, multiply by 3x5 to get $ 15.

Sum the totals to calculate the total amount.

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Complete the equation of the line through (-6,5) and (-3,3). use exact numbers y=

Answers

Line equation

We know the line equation is expressed by

y = mx + b, where is m is its slope (how inclinated it is) and b is intercept with the y-axis.

Finding m

We find its inclination, its slope, m, by

\(\begin{gathered} m=\frac{\Delta y}{\Delta x} \\ =\frac{y_2-y_1}{x_2-x_1} \\ \end{gathered}\)

Let's say

(x₁, y₁) = (-6, 5)

(x₂, y₂) = (-3, 3)

Then

\(\begin{gathered} m=\frac{3-5}{-3-(-6)} \\ =\frac{-2}{-3+6}=\frac{-2}{3} \\ m=-\frac{2}{3} \end{gathered}\)

Then y = -(2/3)x + b,

Finding b

Since b is intercept with the y-axis, we know it intercepts y when x = 0

Using the equation we have found y = -(2/3)x + b, and replacing one point given by the question (x₂, y₂) = (-3, 3)

y = -(2/3)x + b

3 = -(2/3)(-3) + b

3 = -2 + b

3 + 2 = b

Then, b = 5

Therefore,

Answer, y = -(2/3)x + 5,

1/2y=25
Help please

Answers

Answer:

=> 25 x 2 = 50

Step-by-step explanation:

1 1 1
-x -xxxx -x 1 1
=
11 1 1 1
x 1 1 1 1 1
X
1
1
The model represents an equation. What value of x makes the equation true?
A)
3
4
B)
9
2
3
4
D)
9
2.

1 1 1-x -xxxx -x 1 1=11 1 1 1x 1 1 1 1 1X11The model represents an equation. What value of x makes the

Answers

Answer:

its d or b

Step-by-step explanation:

Answer:i think it is d

Step-by-step explanation:

4. Mr. Downey used the function f(x) = -3x2 + 12x to model the flight of a glider. In Mr. Downey's
functions, x is the amount of time that passes in minutes and f(x) is the glider's distance from the ground in
feet. After how many seconds will the glider reach its maximum distance from the ground?

Answers

Answer: 120 seconds

Step-by-step explanation: In order to find the maximum value of a function, you can take the derivative of the function and equalize the result to 0.

f'(x)=(-3x^2 + 12x)'=-6x+12=0

x=2

When x is 2, the function will reach its maximum value.

f(2)=-3(2)^2 + 12.2 = -12 + 24 = 12

The maximum value (f(x)) is equal to 12 and the time passed is 2 minutes which is equal to 120 seconds.

Answer:

After 2 seconds

Step-by-step explanation:

Here is the screenshot of the parabola that formed from the quadratic equation.

As you can see the maximum point of the parabola reaches 12 feet after 2 seconds.

Also as stated in the question " After how many seconds will the glider reach its maximum distance from the ground?" We are trying to see at how many seconds the glider reaches the maximum point, not how many seconds until it lands.

Thus, the answer would be 2 seconds

4. Mr. Downey used the function f(x) = -3x2 + 12x to model the flight of a glider. In Mr. Downey'sfunctions,

Please evaluate this...
Want it in detail...

Will mark Brainliest for the best answer..

Please evaluate this...Want it in detail...Will mark Brainliest for the best answer..

Answers

Step-by-step explanation:

everything can be found in the picture

Please evaluate this...Want it in detail...Will mark Brainliest for the best answer..

Find the length of segment JK. (Enter the just the value, without any units.)

Find the length of segment JK. (Enter the just the value, without any units.)

Answers

Answer:

x = 8

Step-by-step explanation:

Since we know that the 2 triangles are similar (AA Similarity), we find the ratio of Triangle PLM: 2

We then multiply 4 by 2 (the ratio) to get x = 8 as length JK.

Answer:

8

Step-by-step explanation:

From the figure, <LJK =~ <LPM , also, <JLK =~ <PLM because vertical angles are congruent.

By Angle - Angle (AA) Similarity postulate, of two angles of a triangle are congruent to two angles of another triangle , then the triangles are similar.

Hence, JLK ~ PLM

Use the corresponding side lengths to write a proportion.

\( \frac{jl}{pl} = \frac{jk}{pm} \)

\( \frac{4}{6} = \frac{x}{12} \)

Apply cross product property

\(6 \times x = 12 \times 4\)

\(6x = 48\)

Divide both sides of the equation by 6

\( \frac{6x}{6} = \frac{48}{6} \)

Calculate

\(x = 8\)

Since, JK = x then,

JK = 8

hope this helps...

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Please help me with these 3 questions with their references .Q1. Provide any type of visual from the internet (table, graph, chart, etc.) Q2. Mention at least one advantage and one disadvantage you notice. Do not forget to cite your source. Q3. Comment on one of your classmates' posts by mentioning one positive and one negative aspect of the visual. Note: *Cite your references* factor 1. 6a+ 48 2. 9a -81b Simplify a+a+a+a+a+a Given f(x) = 2x^2+4x6, evaluate f(2).a) 2b) -6c) -2d) 10 I keep asking for help and using all my points and going down ranks but I really need help so can you help me with this question??? Q3. ANZ Company accepts from Nike a 3,600,90-day, 6% note dated May 10 in settlement of Nike's overdue open account. The note matures on August 8 . What entry does ANZ make at the maturity date, assuming Leonard pays the note and interest in full at that time? Q4. Briefly differentiate between the basic issues in accounting for notes receivable. Imagine the following scenario: You need to buy a washing machine and you go to the local home appliances store. There are several brands of washing machines available. Provide one example of how you may use the availability heuristic to decide which brand of washing machine to purchase. The owner of a flower shop sells 18 roses for $90. What is the cost in dollars per rose? Peter Limited has spent $3 billion on developing a new single board computer over the past four years. The company now has three mutually exclusive options: 1) The company can manufacture the single board computer itself in which case the plant will cost $5 billion. Additional working capital of $2.1 billion will be required when production commences. The expected sales and selling prices are as follows: The company usually depreciates plant of this type over five years using the straight-line method and assumes no scrap value. Variable costs are expected to be $65 per unit and other fixed cost is 2,000 million per year. Applicable tax rate for the company is 20%. The company will accept the new product if the new product can payback within three years. 2) Sell the know-how to one of its major competitors for a single payment of $3.5 billion. 3) Sell the know-how for a royalty of $10 per unit. For option 1), the company may accept the new product if the new product can payback within 3 years and it can generate sufficient profit to the company. For option 2) and 3), the company will not manufacture the product itself. The information about the company's current capital structure are as follows: i. The common stock is now trading at $15.65. We have used analysts' estimates to determine that the market believes our dividends will grow at 6% per year and the expected dividend next year will be $2. The number of shares outstanding is 200 million. ii. The company's 20-year bonds that pay semi-annual coupon rate of 9% is now selling at $975. The face value of the bond is $1,000 and there are 500,000 bonds outstanding. The price company's 8% preferred share is 93% of its par value ($100). The number of shares outstanding is $10 million. a. Compute the WACC of Peter Limited. b. Calculate the relevant cash flow for option 1,2 and 3 . c. Compute the NPV, payback period and IRR for all 3 options. d. What would your final decision be? Discuss your decision in detail. e. As the cost of debt is apparently lower than other sources of fund, the company's CFO, David, suggests that the company should use debt financing exclusively in funding this new project. Do you agree with his suggestion? Please discuss in detail according to the Modigliani and Miller's theory. f. Jason, the company's finance manager, suggests that the company may consider issuing equity warrant as a new source of fund. Do you agree? Please discuss in detail. g. David believes the company should use the extra cash to pay a special one-time dividend. How will this proposal affect the stock price? Please discuss in detail. h. Angela, the company's accountant, believes that the company should use the extra cash to pay off debt and upgrade and expand its existing manufacturing capability. How would Angela's proposal affect the company? Please discuss in detail. i. Jason is in favor of a share repurchase. He argues that a repurchase will increase the company's P/E ratio. Is his argument correct? How will a share repurchase affect the value of the company? Please discuss in detail. j. Another option discussed by David, Angela and Jason would be to adopt the residual dividend policy. How would you evaluate this proposal? Please discuss in detail. in qualitative research, a change in the problem statement after data collection has begun may indicate: two intracellular molecules, a and b, are normally synthesized at a constant rate of 1000 molecules/second/cell. each molecule of a survives an average of 100 seconds, while each b molecule survives an average of 10 seconds. Joshua is researching diabetes treatments online. Which criteria indicate that the provider of this information is likely a reliable source? Check all that apply.The provider is on a for-profit website.The provider is on a nonprofit website.The provider is the seller of the product.The provider is on the insurance companys website.The provider will not profit from the purchase. How long did the earth exist before life appeared on it?A. 1 billion years B. 1.5 billion years C. 2 billions years D. 2.5 billion years PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! explain the relationship between chlorophyll absorption and wavelength. justify the claim that photosynthetic organisms that live more than 75 feet below the surface of the ocean need phycoerythrin to survive. provide reasoning that explains this claim. What is another word for aging?O A. SeekingOB. BendingO C. UnderstandingO D. Growing 24+3x=2x-16please solve for x quickly! will give brainliest Can a syntax error occur in a block-based code? Why or why not?What are some strategies that you can use when you debug a program?How would you describe the difference between a syntax error and a logic error?What are some real-life situations that require a program that is iterative? Include at least three examples in your answer.How would you describe the relationship between blocks of code and commands? a bin contains 21 balls, numbered 1 through 21. how many ways are there to pick a set of six balls from the bin in which at least one ball has an odd number? A two-child family is selected at random. Let B denote the event that at least one child is a boy, and let D denote the event thatthe genders of the two children differ. Find the union of B and D. (1 point)The union is (bb, gg); the first letter denotes the gender of the firstborn child, and the second letter denotes the gender of thesecond child.The union is (bg. gb); the first letter denotes the gender of the firstborn child, and the second letter denotes the gender of thesecond child.The union is {bb, bg, gb, gg); the first letter denotes the gender of the firstborn child, and the second letter denotes the gender ofthe second child.The union is (bb, bg. gb); the first letter denotes the gender of the firstborn child, and the second letter denotes the gender of thesecond child.