Which method will NOT get you to the point (4,3.5)?
A. Starting at the origin, go 3.5 spaces to the right and then 4 spaces up.
B. Starting at the origin, go 3.5 spaces up and then 4 spaces to the right.
C. Starting at the origin, go 4 spaces to the right and then 3.5 spaces up.
D. Put one finger on 4 on the x-axis, and put another finger halfway between 3 and 4 on the y-axis. Move the first finger up and the second finger to the right until they meet.

Answers

Answer 1

Answer:

A. Starting at the origin, go 3.5 spaces to the right and then 4 spaces up.

Step-by-step explanation:

if you were to plot this then the point would be (3.5,4) instead of (4,3.5)

Answer 2

Starting at the origin, go 3.5 spaces to the right and then 4 spaces up will not get you to the point (4,3.5) but will get you (3.5, 4). The correct option is A.

What are coordinates?

Coordinates are a pair of integers (Cartesian coordinates), or occasionally a letter and a number, that identify a certain place on a grid, often referred to as a coordinate plane.

We have the point (4, 3.5).

And let the point (x, y).

By comparing,

we get,

x = 4 and y = 3.5

That means, the value in the x coordinate is 4 and y coordinate is 3.5.

As the signed distance from the origin in the direction along the x-axis, the first value x is known as the x-coordinate (or x-component). The x-coordinate indicates the distance from the y-axis to the right (if x is positive) or left (if x is negative).

Additionally, the y-coordinate indicates how many steps are needed to up either positively or negatively on the y-axis.

So, the point is 4 point right from the origin and 3.5 point up from the origin.

Therefore, starting at the origin, go 3.5 spaces to the right and then 4 spaces up will not get you to the point (4,3.5)

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Related Questions

If a1= 7 and an = -4an-1 + n then find the value of a5

If a1= 7 and an = -4an-1 + n then find the value of a5

Answers

Answer:

a₅ = 1701

Step-by-step explanation:

\(a_1=7\\\\a_n=-4a_{n-1} + n\\\\a_2 = -4*a_1 + 2\\\\\)

    = -4*7 + 2

    = -28 + 2

   = -26

a₃ = -4a₂ + 3

    = -4*(-26) + 3

    = 104 + 3

    = 107

a₄ = -4a₃ + 4

    = -4*107 + 4

   = -428 + 4

  = -424

a₅ = -4a₄ + 5

    = -4*(-424) + 5

    = 1696 + 5

   = 1701

Please Help. All I have been getting is bot answers, and I actually need help with this. Thanks.



1. Two neighbors are each hosting a party. The first neighbor orders 5 large pizzas, each with a diameter of 16 inches. The second neighbor orders 9 small pizzas, each with a diameter of 12 inches. In terms of area, which party has more pizza? Explain. Show all work.



2. A toy train set has a circular track piece. The inner radius of the piece is 6 cm. One sector of the track has an arc length of 33 cm on the inside and 55 cm on the outside. What is the width of the track?

Answers

1. The second party has more pizza in terms of area

2. The width of the track is approximately 3.50 cm.

How to find which party has more pizza?

1. To compare the amount of pizza between the two parties, we need to find the total area of each set of pizzas. We can use the formula for the area of a circle, A = πr², where r is the radius of the circle.

For the large pizzas, the diameter is 16 inches, so the radius is 8 inches. The area of one pizza is:

A = π(8)²

A = 64π square inches

Since there are 5 pizzas, the total area of pizza for the first party is:

Total area = 5(64π) = 320π square inches

For the small pizzas, the diameter is 12 inches, so the radius is 6 inches. The area of one pizza is:

A = π(6)²

A = 36π square inches

Since there are 9 pizzas, the total area of pizza for the second party is:

Total area = 9(36π) = 324π square inches

Therefore, the second party has more pizza in terms of area.

How to find width of the track?

2. We can start by finding the length of the arc of the sector. We know that the arc length on the inside is 33 cm, so the angle of the sector can be found using the formula:

angle = (arc length / radius)

angle = (33 / 6) radians

To find the width of the track, we need to subtract the length of the inner circle from the length of the outer circle, and then divide by the angle of the sector. Let's call the width of the track "x". Then we have:

55 cm - 33 cm = 2π(6 cm + x) - 2π(6 cm)

22 cm = 2πx

x = 11 / π cm

So the width of the track is approximately 3.50 cm.

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What is the percent of decrease from 64.4 to 16.1?

Answers

Answer:

75

Step-by-step explanation:

64.4-16.1=48.3

48.3 divided by 64.4= 0.75

0.75x100=75

Picture attached help please!

Picture attached help please!

Answers

The missing lengths  in the triangles are h = 3/2√2 and b = 4√3

How to determine the missing lengths

Triangle a and b

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

A special right triangle

For a right triangle with an angle of 45 degrees

The measure of the leg is

h = Hypotenuse/√2

So, we have

h = 3/√2

Evaluate

h = 3/2√2

For the other triangle, we have

sin(60) = b/6

So, we have

b = 6/sin(60)

Evaluate

b = 4√3

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10) Empty Set Facts, Also Homework. Unanswered
Ø = {0}
Select an answer and submit. For keyboard navigation, use the up/down arrow keys to select an answer.
a TRUE
b FALSE
8) Empty Set Facts Homework Unanswered
0 € 0
Select an answer and submit. For keyboard navigation, use the up/down arrow keys to select an answer.
a TRUE
b FALSE
9) Empty Set Facts, Too Homework Unanswered
{0} <Ø
Select an answer and submit. For keyboard navigation, use the up/down arrow keys to select an answer.
a TRUE
b FALSE

Answers

10) b) false

9) b) false

8) b) false



10) The statement Ø = {0} is false. The symbol Ø represents the empty set, which means it contains no elements. On the other hand, {0} is a set containing the element 0. Therefore, Ø and {0} are distinct sets, and they are not equal. The correct answer is (b) FALSE.

8) The statement 0 € 0 is false. The symbol € represents the element-of relation, indicating that an element belongs to a set. However, in this case, 0 is not an element of the empty set Ø since the empty set does not contain any elements. Therefore, 0 is not in Ø, and the statement is false. The correct answer is (b) FALSE.

9) The statement {0} < Ø is false. The symbol < represents the subset relation, indicating that one set is a proper subset of another. However, in this case, {0} is not a proper subset of the empty set Ø since {0} and Ø do not have any common elements. Therefore, {0} is not a subset of Ø, and the statement is false. The correct answer is (b) FALSE.

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9 + 5m = 5m - 1

Please help! Thanks :))

Answers

Answer:

No solution

Step-by-step explanation:

In pic

(Credits: Symbolab)

(Hope this helps can I pls have brainlist (crown)☺️)

9 + 5m = 5m - 1Please help! Thanks :))

answer: 1 0 + 9

Step-by-step explanation:

combine like terms

9 + 5m + 5m

9 + 10m

NOW rearrange terms

9 + 10m

10m + 9



At
a family reunion
10 people
equally. How much of a sandwich did each
get to eat?
shared 7 sandwiches
person

Answers

Answer:

Each person got 7/10 of a sandwich.

Step-by-step explanation:

Question:

At a family reunion 10 people shared 7 sandwiches equally. How much of a sandwich did each person get to eat?

This is a division problem. You must divide the number of sandwiches by the number of people.

7 ÷ 10 = 7/10

Answer: Each person got 7/10 of a sandwich.

help pweese, i'll give brainliest.

help pweese, i'll give brainliest.

Answers

Answer:

A. 21

Step-by-step explanation:

So theres 4 months and each month it costs $50

So we do $50*4= $200

The we do the total cost minus $200 and we get $21

Hope this helped and if it did can i get brainliest

Is ethos a rhetorical device?

Answers

No, ethos is not a rhetorical device. Ethos is an appeal to authority or credibility, which is one of the three main rhetorical strategies (along with logos and pathos).

1. Ethos is not a rhetorical device.

2. Ethos is an appeal to authority or credibility.

3. Appeal to authority or credibility is one of the three main rhetorical strategies.

4. The other two strategies are logos and pathos. No, ethos is not a rhetorical device. Ethos is an appeal to authority or credibility, which is one of the three main rhetorical strategies (along with logos and pathos).

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a) Estimate 0.42 x 0.064 by rounding both numbers to one significant figure.
b) Work out the exact value of 0.42 x 0.064​

Answers

Answer:

A) 0.030

B) 0.026

Step-by-step explanation:

I hope this HELP! :)

If α and -α are zeroes of 3x²+(2k-5)x-7 , then find the value of k?​

Answers

Given quardratic polynomial is 3x^2+(2k-5)x-7

On Comparing this with the standard quadratic Polynomial ax^2+bx+c

a = 3

b=2k-5

c = -7

Given zeroes α and -α

sum of the zeroes α +(-α) = -b/a

⇛ α +(-α) = -(2k-5)/3

⇛ 0 = -(2k-5)/3

⇛ 0×3 = -(2k-5)

⇛0 = -(2k-5)

⇛-2K+5 = 0

⇛ -2k = -5

⇛ 2k = 5

⇛ k = 5/2

Answer:- The value of k is 5/2.

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If α and β are the zeroes of a quadratic Polynomial such that α + β = 24 , α - β = 8 . Find a quadratic Polynomial having α and β as it's zeroes...

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Help please i need this done by tomorrow

Help please i need this done by tomorrow

Answers

Step-by-step explanation:

here you go I hope my answer is correct goodbye

Help please i need this done by tomorrow

Answer:

i think you draw it

Step-by-step explanation:

it tells you the answer

Simplify the expression.

Simplify the expression.

Answers

Answer:

2x2+23

Step-by-step explanation:

=7x2+3+(−5)(x2)+(−5)(−4)

=7x2+3+−5x2+20

Combine Like Terms:

=7x2+3+−5x2+20

=(7x2+−5x2)+(3+20)

=2x2+23

Hope this helps!

5. what is the purpose of the example of sameer bhatia, who found a bone marrow donor through social networking (para. 17)? do you find it persuasive, or is it too exceptional?

Answers

The purpose of the example of Sameer Bhatia finding a bone marrow donor through social networking is to illustrate the power and usefulness of social media in connecting people and facilitating important and life-saving actions.

By sharing his story on social media platforms, Bhatia was able to find a suitable donor and receive the necessary bone marrow transplant.

This example shows how social networking can be used for more than just entertainment and communication, but also for important and impactful purposes.

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Most employers require their prospective employees to take a drug test. If the employee tests positive, that means the person uses illegal drugs. According to research (https://www.cbsnews.com/news/drug tests-not-immune-from-false positives/e), not all people that test positive actually use illegal drugs. Assume that 6% of prospective employees actually use illegal drugs. The false positive rate is 5% (person does NOT use illegal drugs, but they test positive), The false negative rate is 10% (person DOES use illegal drugs but they test negative), Draw and label a tree diagram (30 points) and answer the question below (MAKE SURE TO SHOW ALL WORK: (20 points) What percent of prospective employees who test positive actually use illegal drugs? Upload Choose a File

Answers

Approximately 53.47% of prospective employees who test positive actually use illegal drugs.

we will use a tree diagram and the given information: 6% of prospective employees actually use illegal drugs, the false positive rate is 5%, and the false negative rate is 10%.
Step 1: Draw a tree diagram:
- First level: divide into two branches, one for "Uses Drugs (6%)" and one for "Does Not Use Drugs (94%)".
- Second level: under "Uses Drugs", divide into two branches, "Tests Positive (90%)" and "Tests Negative (10%)". Under "Does Not Use Drugs", also divide into two branches, "Tests Positive (5%)" and "Tests Negative (95%)".
Step 2: Calculate the probabilities:
- Probability of using drugs and testing positive: 0.06 * 0.9 = 0.054
- Probability of not using drugs and testing positive: 0.94 * 0.05 = 0.047
Step 3: Determine the percentage of prospective employees who test positive and actually use illegal drugs:
- Add the probabilities of testing positive (both using and not using drugs): 0.054 + 0.047 = 0.101
- Divide the probability of using drugs and testing positive by the total probability of testing positive: 0.054 / 0.101 ≈ 0.5347
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A school lunch costs $2.50. A monthly lunch pass costs $40.00. Which inequality represents the number x of lunches you must purchase for the monthly pass to be a better deal?

Answers

Answer:

The inequality 2.50x>40.00 represents the number of lunches needed to be purchased for the monthly lunch pass to be a better deal.

Step-by-step explanation:

Given that:

Cost of each lunch = $2.50

Cost of monthly lunch pass = $40.00

Number of lunches = x

For making the monthly pass a better deal, the cost of lunches should be greater than the cost of monthly lunches, therefore

Cost of lunch * Number of lunches > Cost of monthly lunch pass

2.50x > 40.00

Hence,

The inequality 2.50x>40.00 represents the number of lunches needed to be purchased for the monthly lunch pass to be a better deal.

Answer:

2.50x > 40.00

$2.50 times a number of lunches is greater than $40.

Step-by-step explanation:

A bouncy ball is dropped such that the height of its first bounce is 6.5 feet and each successive bounce is 78% of the previous bounce's height. What would be the height of the 10th bounce of the ball? Round to the nearest tenth (if necessary).

Answers

Answer:

Approximately \(0.7\; {\rm ft}\).

Step-by-step explanation:

If the current bounce is of height \(h\; {\rm ft}\), the next bounce would be of height \((78\%\, h)\; {\rm ft}\), which is equal to \((0.78\, h)\; {\rm ft}\).

It is given that the first bounce is of height \(6.5\; {\rm ft}\). Relative to this first bounce:

The \(n = 2\) bounce is dampened \((2 - 1) = 1\) time. The height of this bounce would be \(((0.78)\, 6.5)\; {\rm ft} = ((0.78)^{2 - 1} \, 6.5)\; {\rm ft}\).The \(n = 3\) bounce is dampened \((3 - 1) = 2\) times. The height of this bounce would be \((0.78)\, ((0.78)\, 6.5)\; {\rm ft} = ((0.78)^{3 - 1} \, 6.5)\: {\rm ft}\).

In general, the \(n\)th bounce would have been dampened \((n - 1)\) times. The height of that bounce would be \(((0.78)^{n - 1}\, 6.5)\; {\rm ft}\).

Thus, the \(10\)th bounce would have been dampened \((10 - 1) = 9\) times. The height of that bounce would be \(((0.78)^{10 - 1} \, 6.5)\; {\rm ft} \approx 0.7\; {\rm ft}\) (rounded to the nearest tenth, one digit after the decimal point.)

A market buys mixed nuts at $12.25 per pound. They markdown the mixed nuts 12%. What is the price per pound for the mixed nuts with the discount?

Answers

Answer:

the answer is £1.47

Step-by-step explanation:

on a calculator time's your number by 0.12 and that's how you found your answer

Answer:

Step-by-step explanation:

Shiredddddd

Find a sinusoidal function with the following four attributes: (1) amplitude is 10, (2) period is 5, (3) midline is y = 31, and (4) ƒ(3) = 41. f(x) = =

Answers

The sinusoidal function that satisfies the given attributes is f(x) = 10 * sin(2π/5 * x - π/5) + 31.

To find a sinusoidal function with the given attributes, we can use the general form of a sinusoidal function:

f(x) = A * sin(Bx + C) + D

where A represents the amplitude, B represents the frequency (related to the period), C represents the phase shift, and D represents the vertical shift.

Amplitude: The given amplitude is 10. So, A = 10.

Period: The given period is 5. The formula for period is P = 2π/B, where P is the period and B is the coefficient of x in the argument of sin. By rearranging the equation, we have B = 2π/P = 2π/5.

Midline: The given midline is y = 31, which represents the vertical shift. So, D = 31.

f(3) = 41: We are given that the function evaluated at x = 3 is 41. Substituting these values into the general form, we have:

41 = 10 * sin(2π/5 * 3 + C) + 31

10 * sin(2π/5 * 3 + C) = 41 - 31

10 * sin(2π/5 * 3 + C) = 10

sin(2π/5 * 3 + C) = 1

To solve for C, we need to find the angle whose sine value is 1. This angle is π/2. So, 2π/5 * 3 + C = π/2.

2π/5 * 3 = π/2 - C

6π/5 = π/2 - C

C = π/2 - 6π/5

Now we have all the values to construct the sinusoidal function:

f(x) = 10 * sin(2π/5 * x + (π/2 - 6π/5)) + 31

Simplifying further:

f(x) = 10 * sin(2π/5 * x - 2π/10) + 31

f(x) = 10 * sin(2π/5 * x - π/5) + 31

Therefore, the sinusoidal function that satisfies the given attributes is f(x) = 10 * sin(2π/5 * x - π/5) + 31.

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An investment of $6,530 earns interest at the rate of 4% and is compounded quarterly. What is the accumulated value of
the investment at the end of 8 years?
a $7,071.05
b. $7,659.97
c. $8,936.76
d. $8,978.36

Answers

Answer:

$8,978.36

I hope this helps you

The formula for the amount earned with compound interest after n years is given as:

A = P \((1 + R/n)^{nt}\)

The accumulated value at the end of 8 years is $8978.36

Option D is the correct answer.

What is compound interest?

It is the interest we earned on the interest.

The formula for the amount earned with compound interest after n years is given as:

A = P \((1 + R/n)^{nt}\)

P = principal

R = rate

t = time in years

n = number of times compounded in a year.

We have,

The formula for the amount earned with compound interest after n years is given as:

A = P \((1 + R/n)^{nt}\) _______(1)

P = $6,530

R = 4%

n = 4

t = 8

Substituting in (1)

Now,

A = 6530 x \((1 + 0.04/4)^{32}\)

A = 6530 x \(1.01^{32}\)

A = 6530 x 1.37

A = $8978.36

Thus,

The accumulated value at the end of 8 years is $8978.36

Option D is the correct answer.

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Which expressions are equivalent to -2y-8+4y−2y−8+4yminus, 2, y, minus, 8, plus, 4, y ? Choose all answers that apply: Choose all answers that apply: (Choice A) A -2(y+4)+4y−2(y+4)+4yminus, 2, left parenthesis, y, plus, 4, right parenthesis, plus, 4, y (Choice B) B 4(-2+y)-2y4(−2+y)−2y4, left parenthesis, minus, 2, plus, y, right parenthesis, minus, 2, y (Choice C) C None of the above

Answers

Answer:

C. None of the above. The correct expression is  2(y-4)

Step-by-step explanation:

Given the expression -2y-8+4y, we are to find the equivalent expressed is which other expression is similar to it. This can be expressed as shown below;

Step 1: Collect the like terms of the expression

= -2y-8+4y

= (-2y+4y)-8

Step 2: Sum up the terms in parenthesis:

=  (-2y+4y)-8

= 2y-8

Step 3: factor out the common terms

= 2y-8

= 2(y-4)

Hence the equivalent expression is 2(y-4).

Answer:

A and B

Step-by-step explanation:

On Khan Academy its right.

please help. will mark brainlyest if you remind me!!!!!!!​

please help. will mark brainlyest if you remind me!!!!!!!

Answers

first〽️〽️〽️〽️〽️〽️〽️〽️〽️〽️

Answer:

108.25 sq in

Step-by-step explanation:

base length =5

apothem length = 4.3

slant height =13

surface area= area of base + (3/2) of slant height (13) times base length(5)

area of base = base length times apothem length divided by 2

1/2(4.3*5)=1/2(21.5)=10.75

SA = 10.75 + (3/2)(13*5)

10.75+(3/2)(65)

10.75+97.5=108.25

You have 95 coins, consisting of nickels, dimes, and quarters. The value of the coins is $13. 70. There are 11 more quarters than dimes. Which system of equations can be used to represent this situation, where n is the number of nickels, d is the number of dimes, and q is the number of quarters?.

Answers

So, the system of equations representing this situation is: n + d + q = 95; 0.05n + 0.10d + 0.25q = 13.70; q = d + 11.

To represent this situation with a system of equations, we can use the following equations:

The total number of coins: n + d + q = 95

The total value of the coins in dollars: 0.05n + 0.10d + 0.25q = 13.70

The relationship between the number of quarters and dimes: q = d + 11

The first equation represents the total number of coins, which is given as 95.

The second equation represents the total value of the coins in dollars, which is given as $13.70. The values of each coin (nickel, dime, quarter) are multiplied by their respective quantities (n, d, q) and summed up to obtain the total value.

The third equation represents the relationship between the number of quarters (q) and dimes (d), which states that there are 11 more quarters than dimes.

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One day a store sold 28 sweatshirts. White ones cost $9.95 and yellow ones cost $13.50. In all, $321.20 worth of sweatshirts were sold. How many of each color were sold?

Answers

Answer:

white sold = 16

yellow sold = 12

Step-by-step explanation:

w = # of white sold

y = # of yellow sold

w + y = 28   solve this for w

w = 28 - y

9.95w + 13.5y = 321.20     substitute w = 28-y into this expression and solve for y

9.95(28-y) + 13.5y = 321.20

278.60 - 9.95y + 13.50y = 321.20

278.60 + 3.55y = 321.20

3.55y = 321.20 - 278.60 = 42.60

y = 42.60/3.55 = 12   substitute this into w = 28 - y and solve for w

w = 28 - 12 = 16

A student earns Php 280.00 for a 5 hour shift on his summer job. The amount
of money he earns varies directly to the number of hours worked. Find the
constant k, and the amount of money he will earn for an 8-hour shift.

Answers

Answer:

y=k5, 448 after an 8 hour shift

Step-by-step explanation:

The amount of money he will earn for an 8-hour shift is Php448

Let the amount  of money he earns be A

Let the number of hours worked is "h"

If the amount  of money he earns varies directly to the number of hours worked is expressed as:

A = kx

k = A/x

GIven that A = Php 280.00, x = 5 hours

k = 280/5

k = 56

If x = 8 hours, the amount of money A = kx

A = 56 * 8

A = Php448

Hence the amount of money he will earn for an 8-hour shift is Php448

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Please answer my question

Please answer my question

Answers

Answer:

y=14x

Step-by-step explanation:

Which postulate proves the two triangles are congruent?
A. none
B. HL
C. SAS
D. AAS​

Which postulate proves the two triangles are congruent?A. noneB. HL C. SASD. AAS

Answers

Answer:

AAS

Step-by-step explanation:

They share the same side, and the 2 angles are the same as well and match

According to the weather
forecast, the probability
that it will rain on
Wednesday is 0.85. What
is the probability that it
will not rain?

Answers

Answer:

0.15

Step-by-step explanation:

1.00 - 0.85 = 0.15

Answer: .15

Step-by-step explanation: The reason being is if .85 is equal to 85 % then there is only 15 % left so the answer is .15

20. Pluem, Frank, and Nanon are brothers, each with some money to give to their siblings. Pluem gives
money to Frank and Nanon to double the money they both have. Frank then gives money to Pluem and
Nanon to double the money they both have. Finally, Nanon gives money to Pluem and Frank to double
their amounts. If Nanon had 20 dollars at the beginning and 20 dollars at the end, how much, in dollars,
did the siblings have in total?
SOLUTION.

Answers

Let's start by using variables to represent the amount of money each sibling has at the beginning:

Let P be the amount of money Pluem has at the beginning.

Let F be the amount of money Frank has at the beginning.

Let N be the amount of money Nanon has at the beginning.

After Pluem gives money to Frank and Nanon to double their amounts, Frank will have 2F + P and Nanon will have 2N + P.

After Frank gives money to Pluem and Nanon to double their amounts, Pluem will have 2P + 2F + N and Nanon will have 2N + 2F + P.

Finally, after Nanon gives money to Pluem and Frank to double their amounts, Pluem will have 4P + 2F + 2N, Frank will have 4F + 2P + 2N, and Nanon will have 20 dollars.

We know that Nanon gave money to Pluem and Frank to double their amounts, so we can set up the equation:

4P + 2F + 2N = 2(2P + 2F + N) + 2(2F + 2P + N)

Simplifying this equation gives us:

4P + 2F + 2N = 8P + 8F + 4N

2P - 6F + 1N = 0

We also know that Nanon had 20 dollars at the beginning and at the end, so we can set up another equation:

2N + 2F + P = 40

Now we have two equations with three variables, which means we can't solve for all three variables. However, we can use the second equation to eliminate one variable and solve for the other two:

2N + 2F + P = 40

2P - 6F + N = 0

Solving for P in the second equation gives us:

P = 3F - 0.5N

Substituting this expression for P into the first equation gives us:

2N + 2F + (3F - 0.5N) = 40

Simplifying this equation gives us:

5F + N = 40

We know that Nanon had 20 dollars at the beginning, so we can substitute N = 20 into this equation:

5F + 20 = 40

Solving for F gives us:

F = 4

Substituting F = 4 into the equation 5F + N = 40 gives us:

N = 20

And substituting both F = 4 and N = 20 into the expression for P gives us:

P = 3F - 0.5N = 10

Therefore, Pluem had 10 dollars at the beginning, Frank had 4 dollars at the beginning, and Nanon had 20 dollars at the beginning. After the money exchanges, Pluem had 28 dollars, Frank had 28 dollars, and Nanon had 20 dollars. So the siblings had a total of 76 dollars.

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which one of the following angles is coterminal with -245?

Answers

To find an angle coterminal with a given angle, we need to add or subtract multiples of 360 degrees until we get an angle between 0 and 360 degrees.

This is because angles that differ by a multiple of 360 degrees have the same terminal side and therefore are coterminal.

For example, if we are given an angle of -245 degrees, we can add 360 degrees to it until we get an angle between 0 and 360 degrees.

-245 + 360 = 115

Therefore, an angle coterminal with -245 degrees is 115 degrees.

Similarly, if we are given an angle of 500 degrees, we can subtract 360 degrees from it until we get an angle between 0 and 360 degrees.

500 - 360 = 140

Therefore, an angle coterminal with 500 degrees is 140 degrees.

Coterminal angles are useful in trigonometry because they have the same values for trigonometric functions such as sine, cosine, and tangent.

Therefore, if we know the values of these functions for an angle, we can use coterminal angles to find their values for other angles.

Additionally, coterminal angles are useful in graphing trigonometric functions, as they allow us to represent a complete cycle of the function within a range of 360 degrees.

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