A Komodo dragon is 3 meters long. A dwarf gecko is 15 millimeters

Answers

Answer 1

Answer:

what's the exact question?

Step-by-step explanation:

Also! a Water Monitor Lizard is the 2nd largest lizard in the world sitting at 1.5 - 2 metres long


Related Questions


The equation of the line that passes through the points (-1. 8) and (3,0) can be written in the form y = mx + c. Find the value of m and the value of c.

Answers

Answer:

m = - 2 , c = 6

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 1, 8 ) and (x₂, y₂ ) = (3, 0 )

m = [tex]\frac{0-8}{3-(-1)}[/tex] = [tex]\frac{-8}{3+1}[/tex] = [tex]\frac{-8}{4}[/tex] = - 2 , then

y = - 2x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

using (3, 0 )

0 = - 6 + c ⇒ c = 0 + 6 = 6

PLS HELP IM BEING TIMED 2 FOR BRAINLIEST

Phyllis is going ice skating.
• the cost to rent figure skates for x hours is given by the function
f(x) = 1.50x + 2.00.
• the cost to rent hockey skates for x hours is given by the function
h(x) = 2.00x +1.50.

If phyllis rents skates for 3 hours, how much cheaper would figure skates be than
hockey skates?

(Note: Express the answer as dollars.cents.

Answers

Answer:

figure skates will be $1 cheaper.

Explanation:

given equation:

to rent figure skates : f(x) = 1.50x + 2to rent hockey skates : h(x) = 2x +1.5

solve for rent of figure skates:

f(x) = 1.50x + 2.00

f(3) = 1.50(3) + 2.00

f(3) = 6.5

solve for rent of hockey skates:

h(x) = 2x + 1.5

h(3) = 2(3) +1.5

h(3) = 7.5

cheaper - figure skates than hockey skates:

$7.5 - $6.5

$1

The sum of ∠X and ∠Y is 90°. Which statement is TRUE?

∠X is acute and ∠Y is obtuse.
Both ∠X and ∠Y are right angles.
∠X is obtuse and ∠Y is acute.
Both ∠X and ∠Y are acute angle

Answers

Answer:

the answer is that both x and y are acute

Need help doing this

Answers

Answer:

9x - 115°

Step-by-step explanation:

Hope this helps!

If not I am sorry.

i could be wrong

Mr. Jackson sold 3 computer monitors in the first year. In the second year, he sold 4 times as many monitors as in the first year. In the third year, he was able to sell 6 times as many monitors as in the first year.

Answers

Answer:

There wasn't really a question here but for both the answers is

for year 2 we got 12 sales

for year 3 we got 18 sales

Step-by-step explanation:

since the first year Mr.Jackson sold 3 computer monitors then in the second year he must've multiplied the times he had sold it which means 4 x 3 which equals 12

as well as the third year, on the third year he sold 6 times the first year so it means 6 x 3 which equals 18

1st time was 3
2nd is 12 because 3 times 4=12
3rd is 18 because 3 times 6=18
So the answer is 18

27 is 72% of what number?

Answers

Answer:

27 is 72% of 37.5

Step-by-step explanation: Reduce the fraction  

100

72

 to lowest terms by extracting and canceling out 4.

27is×(

25

18

)ofwhatνmber

Multiply 27i and  

25

18

 to get  

25

486

i.

25

486

isofwhatνmber

simplify the following ratio R5,75:25cents​

Answers

Answer:

3:1

Step-by-step explanation:

75:25

(25×3):(25×1)

=3:1

( would love if you could mark me the brainliest :))

The ratio after simplify the provided ratio R, 75:25 cents, which is equivalent ratio of this ratio is 3:1.

What is a ratio of two numbers?

The ratio of two number is the fraction part, which represent that how a number is more or less compare to the other.

When we simplify and write ratio of two number, we get the equivalent ratio of the original ratio.

The equivalent ratio is the ratio which is same in the value as the original ratio, but the numerator and denominator is different for both the ratios.

Here, the given ratio in the problem is 75:25 cents​. It can be written as,

[tex]R_5=\dfrac{75}{25}\\[/tex]

As, the number 25 can divide the number 75 in three times. Thus, the ratio will become after simplifying the given ratio as,

[tex]R_5=\dfrac{3}{1}\\[/tex]

Hence, the ratio after simplify the provided ratio R, 75:25 cents, which is equivalent ratio of this ratio is 3:1.

Learn more about the ratio of two numbers here;

https://brainly.com/question/831500

Round each fraction to the nearest half to find the estimate. There is eight tenths of a cake and Riley eats six tenths of it. Estimate how much cake is left. Explain your thinking.

Answers

Answer:

2/10 or 1/5

Step-by-step explanation:

take 6 away from 8 and you get 2. That is your numerator. If you had 10 to begin with, that is your denominator so it will look like 2/1. IF SIMPLIFIED IT IS 1/5.

Answer:

2/10 or 1/5

Step-by-step explanation:

8/10-6/10=2/10

If fractions have the same number on the bottom, you can subtract or add the top numbers. The bottom number does not change during this process.

!!!please for the love of God help me!!!

Solve each system by substitution.
{x=y-1
{x+2y=8​

Answers

Given :-

[tex] \\ [/tex]

x=y-1x+2y=8

[tex] \\ [/tex]

To find:

[tex] \\ [/tex]

Value of xValue of y

[tex] \\ [/tex]

Solution:-

Let say it is first equation:-

x=y-1. . . . (1)

and this is second equation:-

x+2y=8 . . . . (2)

[tex] \\ \\ [/tex]

Simplifying 1 equation:-

x = y - 1x +1 = yy = x + 1

Put this value of y in second equation.

[tex] \\ [/tex]

[tex] \dashrightarrow \sf \: x+2y=8[/tex]

[tex] \\ [/tex]

[tex] \dashrightarrow \sf \: x+2(x + 1)=8[/tex]

[tex] \\ [/tex]

[tex] \dashrightarrow \sf \: x+2x +2=8[/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow \sf \: 3x +2=8[/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow \sf \: 3x=8 - 2[/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow \sf \: 3x=6[/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow \sf \: x=6 \div 3[/tex]

[tex] \\ \\ [/tex]

[tex] \dashrightarrow \sf \: x= \bf2[/tex]

[tex] \\ [/tex]

to find value of y :-

y = x + 1

y = 2 + 1

y = 3

[tex] \\ [/tex]

verification:-

[tex] \\ [/tex]

1 equation:-

x = y - 1

put value of x and y

2 = 3 - 1

2 = 2

LHS = RHS

Hence verified!

[tex] \\ [/tex]

2 equation:-

[tex] \\ [/tex]

x+2y=8

put value of x and y

2 + 2 × 3 = 82 + 6 = 88 = 8

LHS = RHS

Hence verified!

[tex] \\ [/tex]

Both equation verified!

.°. value of x and y is 2 and 3 respectively

Whitch statement is true?

A The greates common factor of 10 and 14 is 5.
B The greatest common factor of 10 and 15 is 5.
C The greatest common factor of 13 and 21 is 3.
D The greatest common factor of 14 and 21 is 3.​

Answers

B. The greatest common factor of 10 and 15 is 5

Hi There!

The greatest common factor of 10 and 14 is 5 [FALSE]The greatest common factor of 10 and 15 is 5. [TRUE]The greatest common factor 13 and 21 is 3. [FALSE]The greatest common factor of 14 and 21 is 3. [FALSE]Step-by-step explanation:A factor is a number that a number can be evenly divisible by.Example: 5 is a factor of 10, because 10 can be evenly divided by 5.Example #2: 3 is not a factor of 13, because 13 is a prime number, which means it has only 2 factors - 13 and 1.3 is not a factor of 14. The factors of 14 are: 1, 2, 7, 14.5 is not a factor of 14 (reason - above)Hope it helps!

Have an awesome day!

[tex]\huge\text{\bf{TheStarryNights}}[/tex]  :):)

You go to the store to buy a new TV that is $430. If the tax is 6% of that price, what is the total cost of the TV including tax? PLEASE HELP ME

Answers

Answer:

455.8?

Step-by-step explanation:

$430 (tax: x,-,+) = 455.8.

tax: 25.8

Sorry if this is wrong.

Have a great day/night.

Confused need some quick help

Answers

Answer:

B. 8

Step-by-step explanation:

simply just plug the possible answers into the equation for x. plugging in 7 comes out to 39, or one short, so 8 is the answer because the question asks for the fewest ads to run to get the 40 customer goal

Answer:

B;  8

Step-by-step explanation:

4(8) +11 is the least amount of ads youd have to buy to acquire 40 new customers

USE ESTIMATION Two moving truck companies offer the same vehicle at different rates. At Haul-n-Save, the truck can be rented for $30, plus
$0.79 per mile. At Rent It Trucks, the truck can be rented for $75. plus $0.55 per mile.
a. Write equations for the total cost of renting a truck from each company,
Haul-n-Save: y =
r+
Rent It Trucks: y =
+
b. On a separate sheet of paper, graph the equations on the same coordinate plane. Examine the graph to estimate after how many miles of
driving the total rental cost will be the same from each company.

Answers

Answer:

ngl no idea

Step-by-step explanation:

y=x+6
2x+3y=30 find the intersection

Answers

Find our given information

y = x + 6       -- equation 1

2x + 3y = 30 -- equation 2

plug equation 1 into equation 2

[tex]2x + 3(x+6) = 30\\2x + 3x + 18 = 30\\5x +18 =30\\x = 12/5 -- equation 3[/tex]

plug equation 3 into equation 1

[tex]y = (12/5) + 6 = 42/5[/tex]

The intersection is (12/5, 42/5)

Hope that helps!

Becky and Carla take an advanced yoga class. Becky can hold 29% of her poses for over a minute, while Carla can hold 35% of her poses for over a minute. Suppose each yoga student is asked to hold 50 poses. Let B = the proportion of poses Becky can hold for over a minute and C = the proportion of poses Carla can hold for over a minute. What is the probability that Becky’s proportion of poses held for over a minute is greater than Carla’s?

Answers

Using the normal distribution and the central limit theorem, it is found that there is a 0.2033 = 20.33% probability that Becky’s proportion of poses held for over a minute is greater than Carla’s.

Normal Probability Distribution

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.By the Central Limit Theorem, for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex], as long as [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex].

For each sample, we have that:

[tex]p_B = 0.29, s_B = \sqrt{\frac{0.29(0.71)}{50}} = 0.046[/tex]

[tex]p_C = 0.35, s_C = \sqrt{\frac{0.35(0.65)}{50}} = 0.057[/tex]

For the distribution of the difference of the proportions of Becky and Carla, we have that:

[tex]\mu = p_B - p_C = 0.29 - 0.35 = 0.06[/tex]

[tex]s = \sqrt{s_B^2 + s_C^2} = \sqrt{0.046^2 + 0.057^2} = 0.073[/tex]

The probability that Becky’s proportion of poses held for over a minute is greater than Carla’s is the probability that the subtraction is above 0, that is, 1 subtracted by the p-value of Z when X = 0, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{0 + 0.06}{0.073}[/tex]

[tex]Z = 0.82[/tex]

[tex]Z = 0.82[/tex] has a p-value of 0.7967.

1 - 0.7967 = 0.2033.

0.2033 = 20.33% probability that Becky’s proportion of poses held for over a minute is greater than Carla’s.

To learn more about the normal distribution and the central limit theorem, you can check https://brainly.com/question/24663213

Glenda can shelve 42 boxes of cookies in 3 hours. What is her unit rate

Answers

Let’s say boxes per hour is the unit, hence 42boxes/3 hours is her rate, simplifying gives us 14boxes per hour

Beatrice has at least one quarter, one dime, one nickel, and one penny. She has exactly 13 coins total. Beatrice also has a total value of 92 cents. How many different sets of coins can she have?

Answers

Answer:

(Q, D, N, P) = (0, 7, 4, 2) or (1, 3, 7, 2)

Step-by-step explanation:

Let the numbers of coins be Q, D, N, P

We have:

Q + D + N + P = 13

25Q + 10D + 5N + P = 92

Obviously, P = 2, so

Q + D + N = 11         (1)

25Q + 10D + 5N = 90

Divide by 5 and get

5Q + 2D + N = 18      (2)

(2) - (1), get

4Q + D = 7

Let D = 7, Q = 0, from (1), N = 4, so the set is (Q, D, N, P) = (0, 7, 4, 2)

Let D = 3, Q = 1, from (1), N = 7, so the set is (Q, D, N, P) = (1, 3, 7, 2)

If D = 6, 5, 4, 2, 1, 0, Q is not an integer, these can be ignored.

Help help math math math ASAP

Answers

Answer: D

Step-by-step explanation:

The slopes of two perpendicular lines are negative reciprocals of each other

The slope of this line is -1/4, the reciprocal is just the flipped fraction which is -4/1 or 4. Since it is a negative reciprocal you multiply it by -1. 2 negatives multiplied equals a positive so the slope of the perpendicular line is 4

D.4

y=mx + c ....(1)general line eqn)

y=-(1/4x) - 9 .....(2)


Comparing (1) and (2)

m=-1/4

Since both lines are

perpendicular

M=-1/m

Where M=gradient of other line

M=-1/(-1/4)

= -1 x - 4/1

=4
Therefore the gradient of the

other line is 4

What is the probability In a standard 52-card deck, Jacks (J), Queens (Q), and Kings (K) are considered face cards. If a card is selected from a well-shuffled deck, find the probability that the card is a face card.

Answers

Answer:

3/13

Step-by-step explanation:

No. of face cards = 3 x 4 = 12

Total cards = 52

P (face) = 12/52

= 6/26

= 3/13

Answer:

4/14 that's the answer ok ok

Which of the following is not a linear function?

Answers

A is not a linear function. For something to be linear the equation needs to be y = Mx + b (you should know this already) so if it’s squared or has a square root sign or something you know it’s not linear. Why? Because is doesn’t match the formula

I need help 7 th grade math

Answers

Answer:

See each problem below.

Step-by-step explanation:

1. The 3 streets, North, Center, and South are parallel.

Avenue A is perpendicular to North Street.

That means the angles formed by North Street and Avenue A are right angles. Because of corresponding angles and parallel lines, the angles formed by Avenue A with Center Street and also the angles formed by Avenue A and South Street are also all right angles. That makes those corresponding angles congruent. That makes Avenue A and South Street perpendicular.

2. One angle is corresponding to the 70° angle and also measures 70°. The adjacent angle to the 70° angle is supplementary to it and measures 110°.

70°, 100°

3. Angles ACB and ACD form a linear pair and are supplementary. That means that the sum of their measures is 180°.

m<ACB + m<ACD = 180°

5x + m<ACD = 180

m<ACD = 180 - 5x

4. Angles BCF and CFE are same side interior angles of parallel lines cut by a transversal, so they are supplementary.

m<BCF + m<CFE = 180°

4x + 11x = 180

15x = 180

x = 12

m<BCF = 4x = 4(12) = 48

m<CFE = 11x = 11(12) = 132

m<BCF = 48°

m<CFE = 132°

5.

Angles CFG and DCF are same side interior angles of parallel lines cut by a transversal, so they are supplementary.

m<BCF + m<CFE = 180°

(3x) + (7x + 40) = 180

10x = 140

x = 14

m<CFG = 3x = 3(14) = 42

m<DCF = 7x + 40 = 7(14) + 40 = 138

m<CFG = 42°

m<DCF = 138°

6. See picture below.

7. <AGE, <BEG, <CHG, <DHF

8. If m<AGE = 85°, what is m<CHG?

Answer: Angles AGE and CHG are corresponding angles, so they are congruent.

m<CHG = 85°

Rectangle ABCD has vertex coordinates A(1,-2), B(4, -2), C(4,-4), and D(1,
-4). It is translated 1 unit to the left and 3 units up. What are the coordinates
of B?
O A. (7,-3)
B. (1,-1)
O C. (3,1)
O D. (5,-5)
SUBMIT

Answers

Answer:(7,-3)

Step-by-step explanation:

What is the inverse of the given relation? Y=3x+3

Answers

there you go, hope that helps

if a=12 and 120% of a is equal to 80% of b then what is a+b

Answers

a=12
120% of a =80% of b
120%a = 80%b
120a/100 = 80b/100
Divide through by 100
120a = 80b
Divide through by 80
120a/80 = b
But a=12
120x 12/80 = b
18 = b
b = 18

a+b = 12 + 18 = 30

Consider the angle , which is labeled as in blue on the graph, with corresponding point on the circle.

Sketch each of the angles given below, then select the point on the circle that best corresponds to the angle.

Answers

The point on the circle that corresponds to the angle will be:

π/2 = point Aπ - point D3π/2 = point E

How to illustrate the angle

From the complete question, the point on the circle that best corresponds to the angle is illustrated above.

Also, the least positive angle that is coterminal with 747° will be:

= 747 - 720

= 27°

The least positive angle that is coterminal with 1074° will be:

= 1074 - 720

= 354°

Learn more about angles on:

https://brainly.com/question/25716982

50 points and brainlest

Answers

Answer:

1) x = y + 4

2) x + 6 = y

3) x = 2y

Answer:

1.  y = x - 4

2. y = x + 6

3. y = (1/2)x

4. c = 1.55n

5. e = 7.75h

 25 hours

Step-by-step explanation:

1.  y = x - 4

2. y = x + 6

3. slope m = change in y ÷ change in x

⇒ m = (7 - 6) ÷ (14 - 12) = 1/2

⇒ y - 6 = 1/2(x - 12)

⇒ y = (1/2)x

4. let c = cost

   let n = number of songs

Ordered pairs:  (1, 1.55) (2, 3.10) (5, 7.75)

⇒ c = 1.55n

5. let h = hours worked

  let e = total earnings

earns $7.75 per hours

⇒ e = 7.75h

video game system = $193.75

⇒ 193.75 = 7.75h

⇒ h = 25

**options missing for questions 6 and 7**

4 and 2/5 - 2 and 4/5

Answers

4 2/5 - 2 4/5 = 1 3/5 (1.6)

Explanation: calculator lol

4 2/5
- 2 4/5

You would borrow one from the four as you can’t do 2 - 4 which would then get you 7/5 - 4/5 which is 3/5. Then since you borrowed one from the four, it would become 3. Therefore, you would minus 3 - 2 and 7/5 - 4/5 which is

1 and 3/5

find a line that is parallel to y= 8x+10 and has a y intercept of 5

Answers

To be parallel it needs the same slope which is 8x. Now just replace the + 10 with the given y intercept.


Answer y = 8x -5

Answer:

y = 8x -5

Step-by-step explanation:

The average breaking strength of a certain brand of steel cable is 2000 pounds, with a standard deviation of 100 pounds. A sample of 20 cables is selected and tested. Find the sample mean that will cut off the upper 95% of all samples of size 20 taken from the population. Assume the variable is normally distributed.

Answers

Answer:

1963.2 pounds (lbs.)

Step-by-step explanation:

Things to understand before solving:

- Normal Probability DistributionThe z-score formula can be used to solve normal distribution problems. In a set with mean ц and standard deviation б, the z-score of a measure X is given by: [tex]Z=\frac{X-u}{a}[/tex]

The Z-score reflects how far the measure deviates from the mean. After determining the Z-score, we examine the z-score table to determine the p-value associated with this z-score. This p-value represents the likelihood that the measure's value is less than X, or the percentile of X. Subtracting 1 from the p-value yields the likelihood that the measure's value is larger than X.

- Central Limit TheoremThe Central Limit Theorem establishes that, for a normally distributed random variable X, with mean ц and standard deviation б , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean ц  and standard deviation [tex]s=\frac{a}{\sqrt{n} }[/tex]

As long as n is more than 30, the Central Limit Theorem may be applied to a skewed variable. A specific kind of steel cable has an average breaking strength of 2000 pounds, with a standard variation of 100 pounds.

This means, ц  = 2000 and б = 100.

A random sample of 20 cables is chosen and tested.

This means that n = 20, [tex]s=\frac{100}{\sqrt{120} } =22.361[/tex]

Determine the sample mean that will exclude the top 95 percent of all size 20 samples drawn from the population.

This is the 100-95th percentile, or X when Z has a p-value of 0.05, or X when Z = -1.645. So [tex]Z=\frac{X-u}{a}[/tex]

By the Central Limit Theorem

[tex]Z=\frac{X-u}{a} \\-1.645=\frac{X-2000}{22.361} \\X-2000=-1.645*22.361[/tex]

[tex]X =1963.2[/tex]

Answer:

The sample mean that will cut off the top 95% of all size 20 samples obtained from the population is 1963.2 pounds.

3/8 of the students in the class play have names that begin with M what fraction of the students in the play have names that do not begin with M?

Answers

Answer: 5/8

Step-by-step explanation:

This fraction is talking about a whole, so 3/8 + x = 1.

Knowing this, we just do 1 - 3/8, which is 5/8.

Other Questions
A proton high above the equator approaches theEarth moving straight downward with a speed of365 m/s. Find the acceleration of the proton, given that the magnetic field at its altitude is 4.10*10^-5 T. Which points would be in the critical points of the following: (There is more than one correct answer)(2, 0)(0, 3)(0, 2)(3, 0)(0, 0)(5, 0) Matt has 5 cookies Ali eats 4 of the cookies how old is Ali? can anyone help me with this dont answer if you dont no what it is and no deleting answers In basketball, Shaquille makes 40% of his free throw attempts. He goes to the free throw line to shoot one-and-one (if he makes the first shot, he gets to shoot one more). He scores 1 point per free throw. What is the expected value of the number of points he will score? 0. 064 0. 24 0. 56 0. 80 Donna runs an inn and charges $300 a night for a room, which equals her cost. Sam, harry, and bill are three potential customers willing to pay $500, $325, and $250, respectively. When the government levies a tax on innkeepers of $50 per night of occupancy, donna raises her price to $350. The deadweight loss of the tax is. One tip for top-notch writing would be which of the following? When did the Beatles break up 5. Show that the following points are collinear. a) (1, 2), (4, 5), (8,9) The figure below shows three quadrilaterals on a coordinate grid:A coordinate grid is shown from positive 8 to negative 8 on the x axis and from positive 8 to negative 8 on the y axis. An image of a rectangle labeled E is shown on ordered pair negative 1, negative 1 and negative 3, negative 1 and negative 3, negative 2 and negative 1, negative 2. Another image of a rectangle labeled G is shown on ordered pair negative 2, negative 2 and negative 6, negative 2 and negative 6, negative 4 and negative 2, negative 4. Another image of a rectangle labeled F is shown on ordered pair negative 1, 1 and negative 1, 2, and negative 3, 2 and negative 3, 1.Which of the following statements is true about the three quadrilaterals? E and F are similar but not congruent. E and G are similar but not congruent. G and F are similar and also congruent. E and G are similar and also congruent. Read this excerpt from a speech delivered by President Barack Obama on gun violence in the United States.For which two purposes did the president deliver this speech? How do you guys win an argument? i need this answer quick pleasePeter bought 10 basketball, 20 baseballs, and 11 football at the sports store. The basketball cost $5.75 each, the baseballs cost $2.25 a piece, and the football was $5.00 each. How much money does he need to pay at the counter? In what 2 ways did world war 1 affect the women in the United States what is 8 3/4 2 7/8 (show ur work) Please solve these congruent triangle problems The median for the given set of six ordered data values is 27. 5. 9 12 23 _ 41 48 What is the missing value? A line pass through 1,-5 and the slope of 9 help me with thisasap]\[ HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP