Answer:
(- 1, - 3 )
Step-by-step explanation:
Substitute x = - 1 into the equation and evaluate for y
y = 4(- 1) + 1 = - 4 + 1 = - 3
solution is (- 1, - 3 )
What is the value of b if -7 +b= -8?
Answer:
-1
Step-by-step explanation:
-7 +b = -8
↦b = -8 + 7 [ Transition]
↦b = -1
.°. b = -1
Hope you understand it ✔
Expressions that are tested by the if statement are called boolean expressions are called:_________
Answer: LOGICAL EXPRESSIONS
Step-by-step explanation: An if statement includes a logical expression which is the 'test. ' A logical expression is one that is either true or false. This is also called a Boolean expression.
help as soon as possibly
Answer:
see below
Step-by-step explanation:
There are 10 digits
0,1,2,3,4,5,6,7,8,9
Taking the first 6 digits
0,1,2,3,4,5 to represent rain
means that 60 % or 6/10 digits means rain
This is equal to the chance of rain on the next 5 days
The material point moves in a straight line according to the law s (t) = t ^ 2 + 10t - 5, the stage of the point's velocity at the moment t = 2.
Find the speed of the point at the moment
t = 2
i translated this problem from different language, hopefully everything was translated right, please help, thank you
Answer:
I think the answer is 19
Step-by-step explanation:
find the volume of the cylinder either enter an exact answer in terms of Pi or use 3.14 for pi
Answer:
same way
3×3.14×4power 2= 37.68
Answer:
150.72
Step-by-step explanation:
V=πr²h
V=3.14·4²·3
V=3.14·16·3
V=50.24·3
V=150.72
help me and I will give u brain..................
a meteorologist found from the past year's records that it rained 21 dof that days based on this information what is the probability that for arnadom sample of 18 days it rained 4 of those days
here is a 19.8% probability that for a random sample of 18 days, it will rain exactly 4 of those days.
The meteorologist can use probability to determine the likelihood of it raining on a certain number of days in a random sample of 18 days. Based on the past year's records, the probability of it raining on any given day is 21/365, or approximately 0.0575. Using the binomial distribution formula, the probability of it raining exactly 4 times in a random sample of 18 days is:
P(4) = (18 choose 4) * (0.0575)^4 * (1 - 0.0575)^(18 - 4)
P(4) = 0.198
Therefore, there is a 19.8% probability that for a random sample of 18 days, it will rain exactly 4 of those days.
This probability is based on the assumption that the weather patterns will remain similar to the past year's records.
more
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PLS HELP! AND THE ANSWER IS NOT 40%!
Answer:
0.4%
Step-by-step explanation:
I don't get my question for my homework. Here is the questions, "You have 46 gold coins, 115 diamonds, and 184 rubies. You need to put them in treasure chests, and each chest must contain the same number of each individual item. What is the greatest number of treasure chests you can fill? How many gold coins in each chest? How many diamonds in each chest? How many rubies in each chest? " This is the type of question. There is also one more problem I'm stuck on. "You and some friends took a metal detector to the beach every day for a week to search for coins. You managed to find 246 nickels, 312 dimes, and 204 quarters. When you divided them up, you realized that each person got the same exact amount of each coin with no coins remaining. How many are in your group? How many nickels did each person receive? How many dimes did each person receive? How many quarters did each person receive?" Please help me out! Thanks
Answer:
Question 1
The greatest number of treasure chest you can fill = 23
Step-by-step explanation:
Gold coins = 46
Diamonds = 115
Rubies = 184
To determine the greatest number of treasure chests you can fill, find the highest common factors of 46, 115 and 184
46 = 1, 2, 23, 46.
125 = 1, 5, 23, 115
184 = 1,2,4,8,23,46,92,184
The highest common factors of 46, 115 and 184 is 23
The greatest number of treasure chest you can fill = 23
Number of gold coins in each chest = 46/23
= 2
Number of diamonds in each chest = 115 / 23
= 5
Number of rubies in each chest = 184 /23
= 8
Question 2
Nickels = 246
Dimes = 312
Quarters = 204
Find the highest common factor of 246, 312, 204
246 = 1, 2, 3, 6, 41, 82, 123, 246
312 = 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312.
204 = 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
The highest common factor of 246, 312, 204 is 6
How many are in your group?
6 members
There are 6 members in your group that each person got the same exact amount of each coin with no coins remaining.
Number of nickels each person receive = 246 / 6
= 41
Number of dimes each person receive = 312 / 6
= 52
Number of quarters each person receive = 204 / 6
= 34
If , which equation describes the graphed function? A. y = f(-x) − 3 B. y = -f(x) + 3 C. y = -f(x) – 3 D. y = f(-x) + 3
The equation that describes the graphed function is -
g(x) = - f(x) - 3.
What is root function?A root function in mathematics is given as -
y = \($\sqrt[n]{x}\)
We can further write the function as -
y = \($x^{\frac{1}{n} }\)
Given is the graph of the function as shown in the image attached.
We can write the function f(x) as -
f(x) = √x
Inverting the f(x) across the {x} axis, we can write -
- f(x) = - √x
After downward translation, we can write g(x) as -
g(x) = - f(x) - 3
Therefore, the equation that describes the graphed function is -
g(x) = - f(x) - 3.
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estimate the value(s) of c that satisfy the conclusion of the mean value theorem on the interval [2, 6]. (enter your answers as a comma-separated list. round your answers to one decimal places. if an answer does not exist, enter dne.)
The mean value theorem states that if a function f(x) is continuous on the interval [a, b] and differentiable on (a, b), then there exists a value c in (a, b) such that:
f'(c) = (f(b) - f(a))/(b - a)
In this case, the interval is [2, 6]. So, we need to find the value(s) of c that satisfy:
f'(c) = (f(6) - f(2))/(6 - 2)
We can make an estimate based on the graph of the function.
If the graph of f(x) is a straight line between (2, f(2)) and (6, f(6)), then the derivative is constant over the interval [2, 6]. In this case, we can use the formula:
f'(c) = (f(6) - f(2))/(6 - 2) = (y2 - y1)/(x2 - x1)
where (x1, y1) = (2, f(2)) and (x2, y2) = (6, f(6)).
Solving for c, we get:
c = (x1 + x2)/2 = (2 + 6)/2 = 4
This is the only value of c that satisfies the conclusion of the mean value theorem in this case.
If the graph of f(x) is not a straight line, then we cannot make a simple estimate for c based on the graph alone.
To estimate the value(s) of c that satisfy the conclusion of the Mean Value Theorem (MVT) on the interval [2, 6], you need to follow these steps:
1. Identify the function, f(x), that you're working with.
2. Ensure the function is continuous on the interval [2, 6] and differentiable on the open interval (2, 6). This is required for MVT to be applicable.
3. Calculate the average rate of change (mean value) of the function over the interval [2, 6] by using the formula (f(6) - f(2)) / (6 - 2).
4. Take the derivative of the function, f'(x).
5. Set f'(x) equal to the mean value calculated in step 3 and solve for the value(s) of x, which will give you the value(s) of c that satisfy the MVT.
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Russ discovers at the end of the summer that his radiator antifreeze solution has dropped below the safe level. if the radiator contains 4 gallons of a 25% solution, how many gallons of pure antifreeze must he add to bring it up to a desired 50% solution?
Let's call x the pure antifreeze in gallons. This means 4 + x represents the new quantity of pure antifreeze.
According to the problem, 25% of the solution represents 4 gallons and 50% of the solution represents the new quantity of antifreeze.
Based on the given information, we can express the following.
\(0.25(4)+x=0.50(4+x)\)Let's solve for x.
\(\begin{gathered} 1+x=2+0.50x \\ x-0.50x=2-1 \\ 0.50x=1 \\ x=\frac{1}{0.50} \\ x=2 \end{gathered}\)Therefore, he needs to add 2 gallons of pure antifreeze.Let M be a surface in R² oriented by a unit normal vector field U = g1U1 + g2U2 + g3U3 Then the Gauss map G: M --> Σ of M sends each point p of M to the point (g1(p), g2 (p), g3(p)) of the unit sphere Σ. For each of the following surfaces, describe G(M) of the Gauss map in the sphere Σ: (a) Cylinder, x² + y² = r² (b) Cone, z = √(x² + y²) (c) Plane, x+y+z=0 (d) Sphere, (x-1)² + y² +(z+2)² = 1
(a) Cylinder: x² + y² = r²
The Gauss map G sends each point on the cylinder to a point on the unit sphere Σ. For the cylinder, the unit normal vector field U will be perpendicular to the tangent plane at each point on the cylinder's surface. Since the cylinder is symmetric about the z-axis, the normal vector U will also be perpendicular to the z-axis.
Therefore, the Gauss map G(M) for the cylinder will send each point on the cylinder to a point on the unit sphere Σ such that the x and y coordinates of the points on the sphere will correspond to the x and y coordinates of the points on the cylinder. The z-coordinate on the sphere will depend on the height of the point on the cylinder.
(b) Cone: z = √(x² + y²)
For the cone, the unit normal vector field U will be perpendicular to the tangent plane at each point on the cone's surface. The Gauss map G(M) will map each point on the cone to a point on the unit sphere Σ such that the x and y coordinates of the points on the sphere will correspond to the x and y coordinates of the points on the cone. The z-coordinate on the sphere will depend on the height and distance from the origin of the point on the cone.
(c) Plane: x + y + z = 0
For the plane, the unit normal vector field U will be constant and perpendicular to the plane. The Gauss map G(M) will map each point on the plane to a single point on the unit sphere Σ. The direction of the normal vector U will determine the point on the sphere to which each point on the plane is mapped.
(d) Sphere: (x-1)² + y² + (z+2)² = 1
For the sphere, the unit normal vector field U will be perpendicular to the tangent plane at each point on the sphere's surface. The Gauss map G(M) will map each point on the sphere to a point on the unit sphere Σ such that the x, y, and z coordinates of the points on the sphere are normalized to lie on the unit sphere. The Gauss map for the sphere will preserve the spherical symmetry and map each point to its corresponding point on the unit sphere.
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NEED HELP ASAP!!!!!!!!
what is the slope and y-intercept (−6,5),(-3,-3)
Answer:
Step-by-step explanation:
The values of the slope and y-intercept are
m =- 8/3
and b = − 11
How do you draw a 7 cm circle?
To draw a 7 cm circle, you will need a compass or a pair of compasses. Place the point of the compass at the center of the paper and open the compasses to the width of 7 cm. Draw a circle around the center point of the paper.
Drawing a 7 cm circle requires a tool like a compass or a pair of compasses. Place the point of the compass at the center of the paper and open the compasses to the width of 7 cm. After doing this, you will be able to draw a perfect circle around the center point of the paper. Make sure to keep the compass steady and the pencil sharp to get a clean, neat circle. Additionally, you may also use a ruler to measure the length and make sure that the circle is exactly 7 cm in diameter. After you draw the circle, you can use it as a guide for further drawings.
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A process flowchart uses which of the following symbols to represent a decision point in a flow diagram? A. Rectangle B. Arrow C. Inverted triangle. D. Diamond
Decision points
are represented in the flowchart using a diamond symbol. Answer: D. Diamond.
A
flowchart
is a kind of diagram that is used to represent an algorithm, workflow, or process. A flowchart comprises different shapes, which represent distinct steps or activities in a procedure. Flowcharts are used in different fields, such as education,
engineering
, programming, and business, to demonstrate decision making, problem-solving, process control, and project management.
Flowcharts are used to:
Visualize
processes and workflows that need to be organized or improved
Communicate a sequence of steps that are essential to complete a project
Identify the root cause of a problem
Illustrate the steps of a procedure to new employees or staff members
A decision point in a flowchart is a point where the sequence of flowchart changes its direction based on the
outcomes
of the preceding steps. Decision points are represented in the flowchart using a diamond symbol.
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Challenge The price of Stock A at 9 A.M. was $13.45. Since then, the price has been increasing at the rate of $0.08 each hour. At noon the price of Stock B was $14.20. It begins to decrease at the rate
of $0.14 each hour. If the two rates continue, in how many hours will the prices of the two stocks be the same?
In about hours, the prices of the two stocks will be the same.
(Round to the nearest tenth as needed.)
Answer:
Approximately 2.3 hours after 12 noon
Step-by-step explanation:
We are given
Stock A price at 9AM = $13.45
It increases by $0.08 per hour
Stock B at noon = $14.20
It decreases by $0.14 each hour
We have to find when the two prices will be the same.
Since the base time references are different - 9am for A and noon for B, we have to establish the same time reference
Let's do this by finding the price of stock A at noon, then we have the same time base reference of noon
9am - noon = 3 hours
In 3 hours stock A would have risen by 0.08 x 3 = $0.24
Price of stock A at noon is 13.45 + 0.24 = $13.69
Thereafter stock A continues to increase by the same rate of $0.08 per hour
The equation to model stock A price starting at noon is
13.69 + 0.08x where x is the number of hours elapsed after 12 noon
Stock B price is $14.20 at 12 noon and decreases by $0.14 per hour
Equation to model stock B price after 12 noon is
14.20 - 0.14x where x is the elapsed time after 12 noon
For both prices to be the same after the same x hours, we have
13.69 + 0.08x = 14.20 - 0.14x
Solving for x will tell us how many hours it will take for both stock prices to be the same
Solving
13.69 + 0.08x = 14.20 - 0.14x
So the two stock prices will be the same 2.3 hours after 12 noon or about 2 hours and 18 minutes after 12 noon or roughly around 2:18pm
I got 18 minutes by multiplying 0.3 x 60 = 18
B. Describe the relationship between bridge length and breaking weight. How is thatrelationship shown by patterns in your table and graph?C. Use your data to predict the breaking weights for bridges of lengths 3,5, 10, and 12 inches.Explain how you made your predictions.D. Compare your data from this experiment to the data from the experiment on bridges withdifferent numbers of layers. How is the relationship between the number of layers in a bridgeand its breaking weight similar to the relationship between bridge length and breakingweight? How is it different?
ANSWER and EXPLANATION
B. We are to describe the relationship between bridge length and breaking weight.
To do this, we need to check the graph.
In doing that, we will see that the breaking weight appears to decrease as the Bridge length increases.
We can conclude then that the breaking weight and bridge length have an inverse relationship.
That is shown in the graph.
The highest value of the breaking weight is 14 and that is when the value of bridge length is at its lowest (4).
The lowest value of the breaking weight is 3 and that is when the value of the bridge length is at its highest (11)
Hence, there is an inverse relationship between them.4)
Daisy and Diesel play a game where Diesel's chance of winning is always 1/4. They play the game again and again until one of them wins 6 games. a. Find the probability that Diesel will win her 6th game on the 18th game (that is, Diesel will win the 18th game, at which point she will have a total of 6 wins). b. What's the expected number of games they'll play before Diesel wins six games?
The expected number of games they'll play before Diesel wins six games is 4.
a. The probability that Diesel will win her 6 th game on the 18th game is the probability that Diesel will win exactly 5 of the first 17 games and then win the 18 th game. The probability that Diesel wins any particular game is 1 / 4, so the probability that she wins 5 of the first 17 games is:
\($$\left(\begin{array}{c}17 \\5\end{array}\right)\left(\frac{1}{4}\right)^5\left(\frac{3}{4}\right)^{12} \approx 0.202$$\)
Then, the probability that Diesel wins the 18th game is 1 / 4. Therefore, the probability that Diesel will win her 6 th game on the 18th game is:
\($$0.202 \cdot \frac{1}{4}=0.0505$$\)
b. We can approach this problem using the concept of a geometric distribution. Let X be the number of games they play before Diesel wins 6 games. Then, X has a geometric distribution with parameter p=1 / 4, since the probability that Diesel wins any particular game is 1 / 4.
The expected value of a geometric distribution with parameter p is:
\(E(X)=\frac{1}{p}=\frac{1}{1 / 4}=4$$\)
Therefore, the expected number of games they'll play before Diesel wins six games is 4 .
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Which of the following is correct based on this picture?
Answer:
Option D
Step-by-step explanation:
Cos M = \(\frac{Adjacent}{Hypotenuse}\)
Cos M = \(\frac{38}{63}\)
Leila buys candy that costs $7 per pound. She will spend less than $42 on candy. What are the possible numbers of pounds she will buy?
Use p for the number of pounds Leila will buy.
Write your answer as an inequality solved for p.
Answer:
If you spent $56 on candy, she'd buy 8 pounds.
Step-by-step explanation:
What is the volume of the prism??
please i need helppp
Answer:
x=50°
Step-by-step explanation:
x+3°+x+20°+x+7°=180°
or,3x+30°=180°
or,3x=150°
or,x=50°
Answer:
50
Step-by-step explanation:
→ First add all the angles together as angles on a straight line add to 180°
x + 3 + x + 20 + x + 7 = 180
→ Simplify
3x + 30 = 180
→ Minus 30 from both sides
3x = 150
→ Divide both sides by 3
x = 50
Three friends all live
on the same street that runs west to east. Beth
lives 5 blocks from Ann. Carl lives 2 blocks from
Beth. If the street is represented by a number
line and Ann's house is located at 0, what are the
possible locations for Carl's house? Assume that
each unit on the number line represents 1 block.
Answer:
Carl lives seven blocks away from Ann
Step-by-step explanation:
You start at Ann's house ( 0 ) 0+5+2=7
Beth is five blocks from Ann ( 5 )
Carl lives two blocks from Beth ( 2 )
Answer:
carl can be at 4 or 2
Step-by-step explanation:
For the first four hours of the day, the arrival rate at the gas station is 18 vehicles per hour. The gas station is capable of serving 16 vehicles per hour. The last vehicles arrives exactly four hours after the start of the day. Assume that the system is empty at the start and that no vehicle who arrives leaves without being served.
How long will that vehicles be in the gas station (in hours)?
Note: Round your answer to 2 decimal places.
The gas station serves 16 vehicles per hour, and 72 vehicles arrive in 4 hours. The vehicles will spend 4.50 hours at the gas station.
To find the total time the vehicles will spend at the gas station, we need to calculate the total number of vehicles that arrive and then divide it by the rate at which the gas station serves vehicles.
Given:
Arrival rate: 18 vehicles per hour
Service rate: 16 vehicles per hour
Time: 4 hours
First, let's calculate the total number of vehicles that arrive during the 4-hour period:
Total number of vehicles = Arrival rate * Time
= 18 vehicles/hour * 4 hours
= 72 vehicles
Since the gas station can serve 16 vehicles per hour, we can determine the time it takes to serve all the vehicles:
Time to serve all vehicles = Total number of vehicles / Service rate
= 72 vehicles / 16 vehicles/hour
= 4.5 hours
Therefore, the vehicles will spend 4.5 hours at the gas station. Rounded to 2 decimal places, the answer is 4.50 hours.
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NEEP HELP ASAP LAST DAY OF SCHOOL PLS SHOW YOUR WORK
A rectangular field is 80 meters wide and 120 meters long. Give the length and width of another rectangular field that has the same perimeter but a larger area.
Width= ----- Meters
Length= ------ Meters
The width of the new rectangular field would be 0 meters, which means it would essentially be a line segment.
To find the length and width of another rectangular field that has the same perimeter but a larger area, we can use the following steps:
1. Calculate the perimeter of the given rectangular field:
Perimeter = 2 * (Length + Width)
= 2 * (120 meters + 80 meters)
= 2 * 200 meters
= 400 meters
2. Divide the perimeter by 2 to find the equal sides of the new rectangular field. Since the perimeter is divided equally into two sides, each side would be half of the perimeter length:
Side length = Perimeter / 2
= 400 meters / 2
= 200 meters
3. Now, we have the side length of the new rectangular field. However, we need to determine the length and width that would yield a larger area. One way to achieve this is to make one side longer and the other side shorter.
4. Let's assume the length of the new rectangular field is 200 meters. Since both sides have the same length, the width can be calculated using the formula for the perimeter:
Width = Perimeter / 2 - Length
= 400 meters / 2 - 200 meters
= 200 meters - 200 meters
= 0 meters
5. Therefore, the width of the new rectangular field would be 0 meters, which means it would essentially be a line segment. However, note that the question asks for a rectangular field with a larger area. Since the width cannot be zero, we can conclude that it is not possible to have a rectangular field with the same perimeter but a larger area than the given field.
In summary, it is not possible to find another rectangular field with the same perimeter but a larger area than the rectangular field with dimensions 80 meters wide and 120 meters long.
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find two positive numbers with product 324 and whose sum is a minimum. enter your answers in increasing order.
To find two positive numbers with a product of 324 and whose sum is a minimum, we can use the fact that the two numbers that minimize the sum are the ones that are closest in value. Therefore, we need to find the square root of 324, which is 18. The two positive numbers are 18 and 18, which are already in increasing order.
We can then use 18 as one of the numbers and divide 324 by 18 to get the other number, which is 18 as well. Therefore, the two positive numbers with a product of 324 and whose sum is a minimum are 18 and 18.
To find two positive numbers with a product of 324 and whose sum is a minimum, follow these steps:
Step 1: Identify the required conditions.
- The product of the two numbers must be 324.
- The sum of the two numbers should be minimized.
Step 2: Write the given conditions as equations.
Let the two numbers be x and y.
- x * y = 324
- We need to minimize x + y.
Step 3: Rewrite one equation to solve for one variable.
From the first equation, we can solve for y:
- y = 324 / x
Step 4: Substitute the solved variable in the second equation.
- x + (324 / x) = x + y
Step 5: Find the minimum sum by considering the factors of 324.
- Factors of 324 are: (1, 324), (2, 162), (3, 108), (6, 54), (9, 36), and (18, 18).
Step 6: Calculate the sums of the factors.
- Sum of (1, 324) = 325
- Sum of (2, 162) = 164
- Sum of (3, 108) = 111
- Sum of (6, 54) = 60
- Sum of (9, 36) = 45
- Sum of (18, 18) = 36
Step 7: Identify the pair with the minimum sum.
The pair (18, 18) has the minimum sum of 36.
So, the two positive numbers are 18 and 18, which are already in increasing order.
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For the given confidence level and values of x and n, find the following, x=46, n=98, confidence level 99.8% Part 1 of 3 Part 3 of 3 (c) Find the margin of error. Round the answers to at least four decimal places, if necessary. The margin of error for the given data is .1415 х 5
The margin of error is 0.1415, where z is the critical value for the desired confidence level,
The margin of error can be calculated using the formula: Margin of error = z * (standard deviation / sqrt(n))
where z is the critical value for the desired confidence level, standard deviation is the population standard deviation (which can be estimated using the sample standard deviation), and n is the sample size.
For a 99.8% confidence level, the critical value is 2.967. Using the given values of x and n, we can calculate the sample proportion as 46/98 = 0.4694.
To estimate the population standard deviation, we can assume that the sample proportion is a good estimate of the population proportion, and use the formula:
standard deviation = sqrt(p*(1-p)/n)
where p is the sample proportion. Substituting the values, we get: standard deviation = sqrt(0.4694*(1-0.4694)/98) = 0.0519
Now we can plug in the values into the margin of error formula to get: Margin of error = 2.967 * (0.0519 / sqrt(98)) = 0.1415
Therefore, the margin of error is 0.1415.
It is important to note that the margin of error represents the amount by which the sample proportion may differ from the population proportion with a certain level of confidence.
It is also important to remember that the margin of error is not the same as the sampling error, which is the difference between the sample mean and the population mean.
The margin of error can be used to determine the sample size required for a given level of precision, or to compare different sample sizes to determine which is more likely to yield a representative sample.
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What is 90,000,790 in expanded form?
Answer:
(9 x 10,000,000)+(7 x 100)+(9 x 10)
Answer:
What is 90,000,790 in expanded form?
Answer:9000000+0000000+000000+00000+700+90+00
(or)
9000000+700+90+00