(7x10^1(4x10^-7

(5.55 x 10^4) - ( 3.41 x 10^4)

(9 x 10^7) divided (3 x 10^3)

Work needs to be shows !!!

Answers

Answer 1

Answer:

(5.55 * 10^4) - (3.41 * 10^4)

=21,400

(9 * 10^7) divided (3 * 10^3)

= 30,000

Step-by-step explanation:

(5.55 * 10^4) - (3.41 * 10^4)

= (5.55 * 10,000) - (3.41 * 10,000)

= 55,500 - 34,100

= 21,400

(9 * 10^7) divided (3 * 10^3)

= (9 * 10,000,000) ÷ (3 * 1,000)

= 90,000,000 ÷ 3,000

= 30,000

Sorry but i don't understand the "(7x10^1(4x10^7". Your question is invalid.


Related Questions

What is the value of x?

Answers

The value of x =20 when the angles given are 3x° and (x+40)°.

Given that,

There a picture with 2 lines.

The angles given are 3x° and (x+40)°.

We have to find the x value.

We the alternative angles are equal in an intersecting angles.

Angles that are in opposition to a transversal connecting two lines are known as alternate angles.

x +40=3x

Taking 40 to right side.

x= 3x-40

Taking 3x to left side.

x-3x=-40

Subtracting x ad 3x

-2x=-40

Divide by -2.

x=20

Therefore, the value of x =20 when the angles given are 3x° and (x+40)°.

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the radius of a circle is 9 feet. what is the diameter? give the exact answer in simplest form.

Answers

The diameter of a circle equals twice the radius of that circle.

Then:

[tex]\begin{gathered} D=2\times r \\ =2\times9ft \\ =18ft \end{gathered}[/tex]

Therefore, the diameter of the circle is:

[tex]18\text{ feet}[/tex]

Answer:

18 feet

Step-by-step explanation:

The radius is always 2 times the diameter. Since the radius is [tex]9 ~feet[/tex], the diameter is [tex]9\cdot2=\boxed{18}~feet[/tex]

Is this correct? If not can u show me how to do it

Answers

Given

[tex]k(x+y)=2x-4[/tex]

Notice that it is the equation of a line.

Then, since it crosses (10,-2), set x=10 and y=-2 in the given equation, as shown below

[tex]\begin{gathered} x=10,y=-2 \\ \Rightarrow k(10-2)=2*10-4 \\ \Rightarrow k(8)=20-4 \\ \Rightarrow k=\frac{16}{8}=2 \\ \Rightarrow k=2 \end{gathered}[/tex]

Thus, the answer is k=2.

Please help me solve the following problem:A conic kettle has a cover which height is 30% of its total height. The height is 2 cm less than the diameter of the base, which has an area of 380 squared cm. Which is the volume capacity of the kettle?

Answers

If a conical kettles has a solid cover whose volume is 30% of the total volume, and it's height is 2 cm less than the radius of it's base, which has an area of 380cm², then the volume of the kettle is 798.6cm³.

As per the question statement, a conical kettles has a cover whose volume is 30% of the total volume, and it's height is 2 cm less than the radius of it's base, which has an area of 380cm²,

And we are required to calculate the volume capacity of the kettle.

To solve this question, first we need to know the formula to calculate the volume of a cone, which goes as, [Volume (V) = {π * r² * (h/3)}],

Where, "r" is the radius of the base of the cone,

And, "h" is the height of the cone.

Now, the height of our concerned cone is 2 cm less than the radius of it's base, and the area of the base is 380cm². Assuming that the height of the cone be "h" and the radius of it's base be "r", we get that,

[r = (h - 2)]...(i)

And, [(π * r²) = 380]

Or, [{(22/7) * r²} = 380]

Or, [(r²) = {(380 * 7)/22]

Or, [(r²) = 120.9090]

Or, (r = √120.91)

Or, (r = 10.9959)

Or, (r ≈ 11 cm)

Therefore, using the value for "r" in equation (i), we will get,

[h = (11 - 2)cm = 9cm]

And finally substituting these values of "h" and "r" in the above mentioned formula to calculate the volume of a cone,, we get,

[V = {π * (11)² * (9/3)}]

Or, [V = {(22/7) * 121 * 3}]

Or, [V = (7986/7)]

Or, (V = 1140.85714 cm³)

Or, (V ≈ 1140.86 cm³)

Since the cover of the kettle occupies 30% of the volume of the total structure of the conical kettle with it's cover, the volume capacity of the kettle is [(100 - 30)% = 70%] of the volume of the total structure of the conical kettle with it's cover, that is,

[1140.86 * (70/100)]cm³ = (1140.86 * 0.7)cm³ = 798.6cm³

Volume: The volume of any object is the three-dimensional space, occupied by the existence of that very object.

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[tex](3x^{2} -x+1)-(6x^{2} -x+2)[/tex]

Answers

Answer:

−3x2−1

Step-by-step explanation:

−3x2−1 Is the answer to this equatiom

Can you pls help me with this question thank you

Answers

The Solution:

The difference of c and 7 is either:

[tex]\begin{gathered} c-7\text{ } \\ \text{ or} \\ 7-c \end{gathered}[/tex]

Multiplying the result by 10, we get

[tex]\begin{gathered} 10(c-7) \\ \text{ or} \\ 10(7-c) \end{gathered}[/tex]

We are asked not to simplify any part of the expression.

So, the correct answer is:

[tex]\begin{gathered} 10(c-7) \\ or \\ 10(7-c) \end{gathered}[/tex]

x-2Question 8 of 15Use the remainder theorem to find P (2) for P (x)=xª − 3x³ +x−9.-(2,01 mismoSpecifically, give the quotient and the remainder for the associated division and the value of P (2)_Quotient =RemainderP (2)=

Answers

8)

The remainder theorem states that when a polynomial P(x) is divided by a linear polynomial x-b, the remainder is given by r=P(b).

Thus, in our case,

[tex]P(2)=2^4-3(2)^3+2-9=16-24+2-9=-15[/tex]Then, the Remainder theorem states that if we divide P(x) by x-2, the remainder will be -15.

Calculating the quotient of P(x)/(x-2),

Hence, the answers are[tex]\begin{gathered} Q(x)=x^3-x^2-2x-3 \\ Remainder=-15 \\ P(2)=-15 \end{gathered}[/tex]

Which transformations can be used to carry ABCD ontoitself? The point of rotation is (3, 2). Check all that apply.yB1 23 4 5 6A. Translation four units to the rightB. Dilation by a factor of 2C. Rotation of 180°D. Reflection across the line x = 3

Answers

Answer:

C. Rotation of 180°

D. Reflection across the line x = 3

Explanation:

The point of rotation = (3, 2)

From the diagram:

The center of the rectangle = (3, 2)

Note that:

The point of rotation = The center of the rectangle

Therefore, the rectangle ABCD will be reflected across its center, x =3 and y = 2

Also note that ABCD has two lines of symmetry. Therefore, a rotation by 180 degrees will carry ABCD back to itself

question 13Consider the following data: 12, 15, 13, 10, 15, 10. Answer the following questicwrite final answers only. [T/I - 4]#1) What is the mean of the data?#2) What is the median of the data?#3) What is the mode of the data?#4) What is the range of the data?

Answers

Solution:

Given:

The data;

[tex]12,15,13,10,15,10[/tex]

Question 1:

To get the mean:

The mean of a set of numbers, sometimes simply called the average, is the sum of the data divided by the total number of data.

[tex]\begin{gathered} \text{Mean}=\frac{\text{ sum of data}}{n\text{ umber of data}} \\ \text{Mean}=\frac{12+15+13+10+15+10}{6} \\ \text{Mean}=\frac{75}{6} \\ \text{Mean}=12.5 \end{gathered}[/tex]

Therefore, the mean is 12.5

Question 2:

To get the median:

The median of a set of numbers is the middle number in the set (after the numbers have been arranged from least to greatest)

If there is an even number of data, the median is the average of the middle two numbers.

[tex]\begin{gathered} R\text{ earranging the data given in rank order,} \\ 10,10,12,13,15,15 \end{gathered}[/tex]

The data indicates an even number of data. There are 6 numbers in the set.

Hence, the median is the mean of the middle two numbers.

[tex]\begin{gathered} \text{The middle two numbers are;} \\ 12\text{ and 13} \\ \text{Hence, the median is the mean of 12 and 13} \\ \text{Median}=\frac{12+13}{2} \\ \text{Median}=\frac{25}{2} \\ \text{Median}=12.5 \end{gathered}[/tex]

Therefore, the median is 12.5

Question 3:

To find the mode:

The mode of a set of numbers is the number that occurs the most. Hence, the mode of a set of numbers is the number with the highest frequency.

If a set of data has two modes, the data is said to be bimodal.

[tex]\begin{gathered} 10,10,12,13,15,15 \\ \\ \text{From the above, 10 appears twice} \\ 15\text{ also appears twice} \\ \\ \text{Hence, the mode is 10 and 15. The data has two modes, it is a bimodal data.} \end{gathered}[/tex]

Therefore, the modes are 10 and 15.

Question 4:

The range is the difference between the highest and lowest values in a set of numbers.

[tex]\begin{gathered} 10,10,12,13,15,15 \\ \text{Lowest number=10} \\ \text{Highest number=15} \\ \\ \text{Hence, range=highest number-lowest number} \\ \text{Range}=15-10 \\ \text{Range}=5 \end{gathered}[/tex]

Therefore, the range is 5.

Two dice are rolled. What is the probability that the sum of the numbers rolled is either 3 and 8? Express your answer as a fraction in lowest terms or a decimal rounded to the nearest million

Answers

The two dice have 6 numbers each.

Look at the image to find the outcomes:

First, we need to find the total of outcomes with the sum of 3:

T. outcomes with the sum of 3 = 2

Now, find the total of outcomes with the sum of 8 = 5

When we ave in probability the expression "or" we add the probabilities:

In this case,

T. outcomes with the sum of 3 + T. outcomes with the sum of 8.

Replace the values and sum:

P = 2 +5

P = 7

Now, to find the probability divide it by the total of outcomes

Total outcomes= 36. because 6 * 6 = 36

P( sum being 3 or 8) = 7/36

X = y - 4-2x + 3y= 6Solve each system by equation

Answers

Answer: x=-6 and y=-2

Given:

[tex]\begin{gathered} x=y-4 \\ -2x+3y=6 \end{gathered}[/tex]

Having these two equations, we can substitute the first equation with the second equation to solve for y:

[tex]\begin{gathered} -2x+3y=6 \\ \end{gathered}[/tex]

Since the first equation says that x = y - 4,

[tex]\begin{gathered} -2x+3y=6 \\ -2(y-4)+3y=6 \\ -2y+8+3y=6 \\ -2y+3y=6-8 \\ y=-2 \end{gathered}[/tex]

Then, we will substitute this y-value to the first equation to solve for x.

[tex]\begin{gathered} x=y-4 \\ x=-2-4 \\ x=-6 \end{gathered}[/tex]

We now have the values x=-6 and y=-2. To check, let us substitute both values to the second equation

[tex]\begin{gathered} -2x+3y=6 \\ -2(-6)+3(-2)=6 \\ 12-6=6 \\ 6=6 \end{gathered}[/tex]

Therefore, the answer is correct, and the answer is x=-6 and y=-2

help me havig a hard time .

Answers

Conversion factor

What is the conversion factor?

It is a number used to change one unit to another when it is multiplied.

Jenna wants to know how many pounds correspond to 50 tons, she does know that 1 ton = 2,000lb. Then she has the following equivalence:

50 tons ⇄ ??

1 ton ⇄ 2,000 lb

We know that if we divide both sides of the equivalence we will have the same result:

[tex]\frac{50\text{tons}}{1\text{ton}}=\frac{?\text{?}}{2000lb}[/tex]

Multiplying both sides by 2000lb we have that

[tex]undefined[/tex]

The Quadratic f(x)=x^2-2x-15Using the functions of your graphing calculator calculate the coordinates of the following points (as shown in the calculator videos in this lesson). If the parabola doesn't intersect the x-axis then write "none." If necessary, round to the nearest hundredths place (2 decimal places).a. The vertex using the min/max calculate function.b. X-intercept(s) using the zero calculate function.c. Y-intercept using the value calculate function (w/ a value of x=0).d. Now, copy down the t-table generated by your calculator for integer input values from-3≤x≤3.

Answers

Given: The function below

[tex]f(x)=x^2-2x-15[/tex]

To Determine: The vertex, the x-intercept, the y-intercept, and the table for -3≤x≤3

Solution

The graph of the given function is as shown below

Hence:

The vertex is a minimum value at y = -16 and coordinate (1, -16)

(b) The X-intercepets is x = -3, x = 5, coordinates: (-3, 0) and (5, 0)

(c) The Y-intercept is at y = -15, coordinate: (0, - 15)

(d) The table showing the values of f(x) for -3≤x≤3 is as shown below

what is the quotient of {24a^4 b^2 + 36a^2 b-36ab^2 +48 ab}÷(12ab)?

Answers

To divide this polynomial, we will follow steps below:

Step 1

Arrange

step 2

Divide 24a⁴b² by by 12ab

The result will be 2a³b

Write the result at the top of the root sign

Step 3

Mutiply 12ab by 2a³b, the result will be 24a⁴b²

Write the result in the root sign under 24a⁴b²

step 4

subtract, the result is zero

step 5

Take down 36a²b

Step 6

divide 36a²b by 12ab

The result is 3a

write the result at the top of the root sign

step 7

Multiply 12ab by 3a

The result is 36a²b

Write the result in the root sign under 36a²b

Step8

subtract, the result is 0

step 9

Take down -36ab²

step10

Divide -36ab² by 12ab

The result is -3b

Write the result at the top of the root sign

step11

Multiply 12ab by -3b

The result is -36ab²

Write the result in the root sign under -36ab²

step12

subtract, the result is zero

step 13

Take down 48ab

step 14

divide 48ab by 12 ab

The result is 4

write the result at the top root sign

step 15

Mulltiply 12ab by 4

The result is 48ab

Write the result in the root sign under 48 ab and then subtract

The result is zero

Hence the quotient is : 2a³b + 3a -3b + 4

Find 3 ratios that are equivalent to the given ratio. 3 6 Find 3 ratios that are equivalent to the given ratio. g B. 18 9 DA. 24 6 D. 18 C. 6 24 1 F. 2 12 O E. 18 OH. 6 12 g G. 12

Answers

[tex]\frac{3}{6}=\frac{1}{2}=\frac{6}{12}=\frac{9}{18}[/tex]

If Martha is x years old and her mother is 5 times older and the sum of their age is 88, how old is Martha?

Answers

Let Martha age = x years old

Since her mother's age is 5 times her age, then

Her mother = 5(x) = 5x years old

Since the sum of their ages is 84, then

Add x and 5x, then equate the sum by 84

[tex]\begin{gathered} x+5x=84 \\ 6x=84 \end{gathered}[/tex]

Divide both sides by 6 to find x

[tex]\begin{gathered} \frac{6x}{6}=\frac{84}{6} \\ x=14 \end{gathered}[/tex]

Martha is 14 years old

identify the rate, base and portion.17% of what number is 60?

Answers

For the given question which is;

17% of what number is 60?

We shall begin by determining the value of the number. Let us call the number a.

We can now set up the following equation;

[tex]\begin{gathered} 17\text{ \% of a}=60 \\ 0.17\times a=60 \end{gathered}[/tex]

We now divide both sides by 0.17;

[tex]\begin{gathered} \frac{0.17a}{0.17}=\frac{60}{0.17} \\ a=352.9411 \\ \text{Rounded to the nearest whole number,} \\ a=353 \end{gathered}[/tex]

So we now have;

"17% of 353 is 60."

The rate is the variable that represents part of the whole and that is 17

The base is the whole number itself which is a 100% value and that is 353

The portion is that part of the whole (base) made up of 17% and that is 60."

ANSWER:

Rate is 17%

Base is 353

Portion is 60

Vance bought 2 packages of large beads
and 1 package of medium beads. He
bought 2 packages of large buttons and 2
packages of medium buttons. How many
more beads than buttons did Vance buy?.

Answers

The no. of more buttons than beads that Vance bought is 1 (medium package)

What is an algebraic expression?

In mathematics, an expression that incorporates variables, constants, and algebraic operations is known as an algebraic expression (addition, subtraction, etc.).

How to solve algebraic expressions?

A General Rule for Equation Solving

B Remove parenthesis from either side of the equation and combine similar phrases to make it simpler.

C To separate the variable term on one side of the equation, use addition or subtraction.

D To find the variable, use division or multiplication.

Given:- The no: of package of large beads is 2

            The no: of the package of medium beads is 1

            The no: of the package of large buttons is 2

            The no: of the package of medium buttons is 2

Hence large packages

2(buttons)-2(beads)=0

For medium packages

2(buttons)-1(beads)=0

therefore, the no of more buttons than beads is 1 medium package

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what are the similarities between rate and ratio

Answers

A rate is a specific type of ratio. A rate is a comparison of two numbers with different units, whereas a ratio compares two numbers with the same unit.

For example, in a bowl, there are 12 fruits: 8 oranges and 4 apples. This means the ratio of oranges to apples is 8:4.

If we simplify the ratio, we can see that the ratio of oranges to apples is 2:1, because:

[tex]\frac{8}{4}=\frac{4\cdot2}{4\cdot1}=\frac{2}{1}=\frac{2}{1}[/tex]

Then, there are 2 oranges in the bowl for every apple.

On the other hand, suppose we want to distribute the fruits to 3 people. We can use a rate to find out how many fruits correspond to each person because we have 2 different units:

[tex]\begin{gathered} \frac{12\text{ fruits}}{3\text{ people}}=\frac{x}{1\text{ person}} \\ \text{ Apply cross product} \\ 12\text{ fruits}\cdot1\text{ person}=x\cdot3\text{ people} \\ \text{ Divide by 3 people from both sides} \\ \frac{12\text{ fruits}\cdot1\text{ person}}{3\text{ people}}=\frac{x\cdot3\text{ people}}{3\text{ people}} \\ \frac{12\text{ fruits}}{3}=x \\ 4\text{ fruits }=x \end{gathered}[/tex]

Now, we know that each person corresponds to 4 fruits, in other words, the rate is 4 fruits/person.

Therefore, we can see the similarities between rate and ratio are:

• Both are a comparison of two numbers.

,

• Both can be written as fractions.

,

• Both reduce to the lowest form.

Find the circumference and area of the circle. Express answers in terms of and then round to the nearest tenth. Find the circumference in terms of . C = _

Answers

Solution:

Given the circle with its radius, r;

[tex]r=11cm[/tex]

Thus, the circumference, C, of a circle is;

[tex]C=2\pi r[/tex]

Then;

[tex]\begin{gathered} C=2\pi(11)cm \\ \\ C=22\pi cm \end{gathered}[/tex]

ANSWER:

[tex]C=22.0\pi cm[/tex]

Also, the area, A, of the circle is;

[tex]A=\pi r^2[/tex]

Then;

[tex]\begin{gathered} A=\pi(11)^2 \\ \\ A=121\pi cm^2 \end{gathered}[/tex]

ANSWER:

[tex]A=121.0\pi cm^2[/tex]

Please Help! Functions and Relations The graph shows the absolute value parent function. which statement best describes the function?

Answers

The function is increasing when, if xa > xb, then f(xa) > f(b).

Let's choose values for x < 0 and for x > 0.

First, let's compare x = -2 and x = -1

-1 > -2

f(-1) < f(-2)

Then, the function is decreasing for x < 0.

Second, let's compare x = 1 and x = 2.

2 > 1

f(2) > f(1)

Then, the function is increasing for x > 0.

Answer: c. The function is increasing when x >0.

What number is 75% of 96?

Answers

Answer

The number is 72

Explanation

75% of 96 is

[tex]\begin{gathered} =\frac{75}{100}\times\frac{96}{1} \\ =\frac{7200}{100} \\ =72 \end{gathered}[/tex]

A(0,3) B(1,6) C(4,6) D(5,3) rotate it around the origin 270 degrees clockwise
Please answer with the coordinates.

Answers

The rule for a rotation by 270° about the origin is (x,y)→(y,−x)

so i guess A?

Find the area of the triangle below. Be sure to include the correct unit in your answer. bu

Answers

The area of the triangle = 0.5 x base x height

For the given triangle:

Base = 25 ft

The corresponding height to the base = 7 ft

So, the area =

[tex]0.5\cdot25\cdot7=87.5[/tex]

So, the area of the triangle = 87.5 ft^2

Katie rents a car when spending her vacation in Argentina while she returns the car she has driven 900 miles and used about 36 gallons of gas if you guess cost an average of $4.139 Per gallon estimate how much she spent on fuel

Answers

Given that Katie had driven 900 miles and used about 36 gallons of gas.

The average cost of gas per gallon = $4.139

The amount she spent on gas would be:

[tex]\text{ The average cost of gas per gallon x gallons of gas used}[/tex]

Hence, the amount Katie spent on gas would be:

[tex]\begin{gathered} \text{ }\frac{\text{\$4.139}}{\text{gallon}}\times\text{ 36 gallons} \\ =\text{ \$149.004} \end{gathered}[/tex]

She spent $149.004

Can you please help me with this question thank youu.The first one.

Answers

Given that:

- Tara has 18 pairs of white socks.

- She has 12 pairs of colored socks.

You can state the proportion of those types of socks using ratios.

By definition, a ratio can be written in this form:

[tex]a\colon b[/tex]

And it is read "a to b".

In this case, you need to find the ratio of white socks to colored socks, then you have to set up this ratio:

[tex]18\colon12[/tex]

You can simplify the ratio dividing both sides by 6:

[tex]\begin{gathered} 18\div6\colon12\div6 \\ \\ 3\colon2 \end{gathered}[/tex]

Hence, the answer is: Option B.

Solve for y and show steps 75-3.5y-4y=4y+6

Answers

Solve for y;

[tex]\begin{gathered} 75-3.5y-4y=4y+6 \\ \text{Collect like terms, which means the values with y would be moved to one side} \\ \text{And the values without y would be moved to the other side} \\ 75-6=4y+4y+3.5y \\ \text{Note that when a positive value moves to the other side of the equation} \\ It\text{ becomes a negative value, and vice versa} \\ 69=11.5y \\ \text{Divide both sides by 11.5} \\ \frac{69}{11.5}=\frac{11.5y}{11.5} \\ 6=y \end{gathered}[/tex]

The answer is y equals 6

Question 8 of 10Which of these is a geometric sequence?O A. 2, 3, 5, 9, 17,...O B. 5, 2, 3, 4, ...O C. 2, 4, 6, 8, 10, ...

Answers

We have that in a geometric sequence, the common ratio are equal in geometric sequence, this is:

[tex]\frac{second\text{ term}}{first\text{ term}}=\frac{third\text{ term}}{second\text{ term}}[/tex]

Next, check options:

A. 2, 3, 5, 9, 17

Common ratio

[tex]undefined[/tex]

If ∠2 = 50° and lines a and b are parallel, which of the following angles cannot be determined? *-∠1-∠3-∠4-∠8-None of the above

Answers

If you have the angle 2, you can deduce its the supplement,which is the angle 4. In this case the supplement is equal to 130°.

Angle 2 and angle 6 are corresponding angles, so they have the same measure.

Angle 4 and angle 8 are corresponding, so they have the same measure.

Angle 2 and angle 1 are vertically opposite angles, so they have the same measure.

Angle 5 and angle 6 are vertically opposite angles, so they have the same measure.

Angle 7 and angle 8 are vertically opposite angles, so they have the same measure.

Angle 4 and angle 3 are vertically opposite angles, so they have the same measure.

Therefore the answer is None of the above.

In △GHI, m∠G = (9x - 2), m∠H = (3x - 19), and m∠I = (3x + 6)". Find m∠G.

Answers

Answer:

m∠G = 115 degrees

Explanation:

The sum of the angles in a triangle is 180 degrees.

In triangle GHI:

[tex]\begin{gathered} m\angle G+m\angle H+m\angle I=180\degree \\ \implies9x-2+3x-19+3x+6=180\degree \end{gathered}[/tex]

First, solve for x:

[tex]\begin{gathered} 9x+3x+3x-2-19+6=180\degree \\ 15x-15=180\degree \\ 15x=180+15 \\ 15x=195 \\ x=\frac{195}{15} \\ x=13 \end{gathered}[/tex]

Therefore, the measure of angle G is:

[tex]\begin{gathered} m\angle G=9x-2 \\ =9(13)-2 \\ =117-2 \\ m\angle G=115\degree \end{gathered}[/tex]

The measure of angle G is 115 degrees.

Other Questions
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