4*10^8 -9*10^7 pls work it out

The way we can write the expression (a - b)⁵ without simplifying is by using Pascals' Triangle to get; a⁵ + 5a⁴b + 10a³b² + 10a²b³ + 5ab⁴ + b⁵

Pascal’s Triangle is a method that is used to know the binomial coefficients of terms of binomial expression (x + y)ⁿ, where n can be any positive integer and x,y are real numbers.

For the expression (x + y)⁵, the coefficients are;

1, 5, 10, 10, 5, 1

According to the binomial expansion, the power of m will be decreasing while the power of 5 will be increasing as shown below. Thus;

(a - b)⁵ = (a + (-b))⁵ = a⁵ + 5a⁴b + 10a³b² + 10a²b³ + 5ab⁴ + b⁵

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Answer:

x = 218.7

Step-by-step explanation:

To solve for x, we multiply .30 by 729. Once multiplied, we get the answer 218.7. Therefore, x = .30(729) is the same as x = 218.7.

The equation that represents the total points on the test formed by the number of 2-point problems and the number of 4-point problems will be 2x + 4y = 100.

An equation is used to show the relationship between the variables that are given.

In this case, the test in math class has problems worth 2 points and problems worth 4 points and altogether the test has 100 points.

Let x represent the number of 2-point problems. Let y represent the number of 4-point problems.

The appropriate equation will be:

2x + 4y = 100

This illustrates the equation

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Answer:

1/9

Step-by-step explanation:

There is 1/3 gallon of water in a 3 gallon container. The fraction of the container that is filled is  1/9

(1/3 of a gallon divided by 3 gallons equals 1/9)

Answer:  [tex]m = 7.3\pi[/tex]

I multiplied both sides by pi to isolate m.

According to the commutative property of addition, you can rearrange the addends without altering the result.

2 + (-3) +(-15) = (-3) +(-15) +2

To learn more about :  Commutative

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SOLUTION

Step 1 : We need to recognize the value of x in 5 places means 5 x

and the value of 1 in 6 times means 6,

so we have that: 5 x + 6 = 1 .

Step 2 : We need the linear equation: 5 x + 6 = 1

collecting like terms, we have that:

5 x = 1 - 6

5 x = - 5

Divide both sides by 5 , we have that:

x = - 1

CONCLUSION : The value of x = -1 ( OPTION B )

Answer:

3x2x2x3

Step-by-step explanation:

3x2x2x3= 36

I hope that was helpful!

My pleasure to help!!

Answer:

40

Step-by-step explanation:

Given :
32=0.8x
( x is unknown number )

x=32/.8

x=40

Based on the chemical equations given, the balanced equation would be d. D.

In Chemistry, a balanced equation is one that has the same number of atoms on the left side of the equation, as on the right side of the equation.

The balanced equation is therefore:

2KCIO₃ -->2 KCI + 3 O₂

This is because there are 2 KCI atoms and 6 Oxygen atoms on the left side, and there are also 2 KCI atoms and 6 Oxygen atoms on the right side.

In conclusion, option D is correct.

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The filed has a perimeter value of 720000 decimeters

From the question, the area of the field is given as

Area = 3.24 hectares

Also, we have the shape of the field to be square

So, we start by calculating the side length of the field using

Length = √Area

Substitute the known values in the above equation

Length= √3.24 hectares

Length= √3.24 * 10000 square meters

Evaluate the square root

Length= 18000 meters

The perimeter is calculated as

P = 4 * Length

So, we have

P = 4 * 18000 meters

Evaluate

P = 72000 meters

Convert

P = 720000 decimeters

Hence, the perimeter is 720000 decimeters

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From following steps, she can add relevant pictures to her slide.

It is a presentation-based program that employs graphics, movies, etc. to enhance the interactivity and appeal of a presentation. A saved PowerPoint presentation has the ".ppt" file extension. PPT is another name for a PowerPoint presentation that includes slides and other elements. Create presentations from scratch or using a template with PowerPoint on your PC, Mac, or mobile device. Include text, pictures, artwork, and videos. Using PowerPoint Designer, pick a polished layout. Cinematic motion, transitions, and animation should be added.

Given Data

Eden is creating a presentation about bee hummingbirds in PowerPoint Online, She would like to add an image to her side about how they collect nectar.

From following steps, she can add relevant pictures to her slide.

Open the slide to which you wish to add a photograph.

Point to Picture in the Insert menu, and then click Photo Browser.

Navigate to the image you want to insert in the dialogue box that appears, click it to pick it.

Then drag it to the slide.

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Answer:

6 since it occurs the most times

The acceleration require for the body to not explode will be 0.2941[tex] m/s^2 [/tex]

The finish line as given is 253m away so that distance to be covered will be 253m.

Also we had started to run from rest so that initial velocity will be 0m/s.

We should take care that we could not explode and this is possible only if we reach to the velocity of 53.2m/s. So our final velocity will be 53.2m/s.

Now average velocity will be the sum of initial velocity and final velocity divided by 2.

∴ Average velocity  =  (initial velocity + final velocity) / 2.

∴ Average velocity = (0 + 53.2) / 2 = 53.2 / 2 = 26.6m/s

As we know that average velocity will give us an average time of the run by formula average speed = distance / average time.

∴ Average time = distance / average speed

∴ Average time = 253 / 26.6 = 9.51s.

Now as we know by the formula to calculate acceleration we need the average velocity, average time and we have both of them.

∴ Acceleration = [tex] \frac{average\ velocity}{(average\ time)^2}[/tex]

∴ Acceleration = [tex] \frac{26.6}{(9.51)^2}[/tex]

∴ Acceleration = [tex] \frac{26.6}{90.44}[/tex]

∴ Acceleration = 0.2941[tex] m/s^2 [/tex]

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Anton would earn $111.6 if "x" is 128 bushels.

An equation is an expression that shows the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

We are given that Anton picks corn at a local farm.

Anton is paid 80 cents per bushel for the first 50 bushels, 90 cents per bushel for the next 50 bushels, and 95 cents per bushel for all bushels picked over 100.

Thus, First 50 bushels: 0.80 x 50 = 40

Next 50 bushels: 0.90 x 50 = 45

Remaining bushels: 0.95 x 28 = 26.6

Total = $40 + $45 + $26.6 = $111.6

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Answer:

0

Step-by-step explanation:

Where, if at all possible, A, B, and C are integers, and A is non-negative, and, A, B, and C have no common factors other than 1 Therefore, the standard form for y = 0 is: 0x + 1y = 0

From the given statement based on different conditions following are true :

Statement 2, 3, 4 are true

As given in the question,

1. Lisa has 1 4/12 cups of grapes = 16 /12 cups

  Dawn has 1 11/12 cups of grapes = 23 /12 cups

Together they have = (16/12) + (23/12)

                              = (39 /12) cups of grapes

Given statement of 2 1/2 cups of grapes is false.

2. Rachel has 1 7/15 cups of chocolate chips = 22/15

Maya has 8/15 cups of chocolate chips

Rachel has more cups of chocolate chips than Maya

Difference = (22/15) - (8/15)

                 = 14 /15

3. George has 2 5/10 cups of milk = 25 /10

Raymond  has 1 1/10 cups of milk =11 /10

George has more cups of milk than Raymond

Difference = (25 /10) - (11/10)

                = 14/10

                 = 1.4 cups of milk

                 ≈ 1 cup of milk (approximately)

Statement is true.

4. Gavin has 1 13/14 buckets of water = 27 /14

    Devin has  1 3/14 buckets of water = 17 /14

  Together they have = (27/14) +(17/14)  

                =44/14

                 = 3.14

                 ≈ 3(approximately) buckets of water

Statement is true.

Therefore, from the given statement based on different conditions following are true :

Statement 2, 3, 4 are true .

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The coordinates along the directed line segment is (37/7, 11/7)

The points are given as:

A  = (3, -3)

B = (7, 5)

The ratio on the segment can be represented as;

m : n = 4 : 3

So, we have the coordinates of the point that lies along the directed line segment to be

Point = 1/(m + n) * (mx2 + nx1, my2 + ny1)

So, we have:

Point  = 1/(4 + 3) * (4 * 7 + 3 * 3, 4 * 5 + 3 * -3)

Evaluate

Point  = 1/7 * (37, 11)

Evaluate the products

Point  = (37/7, 11/7)

Hence, the coordinates of the point is (37/7, 11/7)

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Answer:

:]

Step-by-step explanation:

[tex]-2\leq x\leq 2[/tex]

Answer:

In mathematics, the domain of a function is the set of inputs accepted by the function. It is sometimes denoted by {\displaystyle \operatorname {dom} } or {\displaystyle \operatorname {dom} f}, where f is the function

Answer:

3.94*10^7

Step-by-step explanation:

Answer:

3.94 * 10^7

Step-by-step explanation:

:]

In the drink , there are 58.5 milligrams of vitamin  .

In the question ,

it is given that

the recommended daily allowance for a certain vitamin is = 45 mg

we have to find the quantity of the vitamin in  the drink ,

also given that the amount of vitamin that the new drink has is = 130% of RDA ,

on substituting the value of recommended daily allowance ,

we get

amount of vitamin in the drink is = 130% × 45

= 1.3 × 45        ... because 130% = 1.3

= 58.5 mg

Therefore , the drink has 58.5 milligrams of the vitamin .

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The sign of 3.456+(-3.456) is neither positive nor negative—the sum is zero.

We are asked to find the sign of 3.456+(-3.456)

This expression can be simply written as 3.456 - 3.456 because of the identity we have, x+(-y) = x-y

Now if same quantities are subtracted, we get zero only.

Also zero is neither positive nor negative.

Hence there is no sign for 3.456+(-3.456).

Also 3.456+(-3.456) = 0.

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Answer:

Step-by-step explanation:

2

Combine multiplied terms into a single fraction

3

Find common denominator

4

Combine fractions with common denominator

5

Multiply the numbers

Answer: y = (5x/4) + 2

Step-by-step explanation:

Answer:

y = 5/4x + 2

Step-by-step explanation:

First, we convert 4x + 5y = 15 to slope intercept form (y=mx+b):

5y = -4x + 15

Divide both sides by five

y = -4/5 (x) + 3

The slope is -4/5

A perpendicular slope is the negative reciprocal of the other line. To find the negative reciprocal, you switch the numerator and denominator and switch the sign.

Slope = 5/4

Plug the slope and (-4, -3) into the slope-intercept form:

-3 = ( 5/4 · -4 ) + b

Isolate b (the y-intercept):

-3 = -5 + b

b = 2

y = 5/4x + 2

Answer:

55 minutes

Step-by-step explanation:

sharat's train arrived on time (11.15) but Nitin's was after and 10 mins later it'd be 11.25

Answer:

answer is T 25............

Answer:

B

Step-by-step explanation:

6x5=30

30x2/3=20

The dimension of the flower garden, which located in the middle of the backyard surrounded by a strip of grass, is 26 m length and 16 m width.

The situation can be depicted on the attached picture.

We need to translate the word problem into algebraic expressions.

Let x be the width of the grass strip.

Let A be the area of the grass strip.

Then,

A = 2 . 22x + 2 . (32 - 2x)x

288 = 2 . 22x + 2 . (32 - 2x)x  (divide by 2)

144 = 22x + x(32 - 2x) (divide by 2)

72 = 11x + x(16 - x)

72 = 27x - x²

x² - 27x + 72 = 0

This is a quadratic equation. One of the methods to solve a quadratic equation is by factorization.

Factorize the left side:

(x - 3) (x - 24) = 0

x = 3  or  x = 24

The length of the flower garden  = 32 - 2x

The width of the flower garden  = 22 - 2x

Substitute x = 3:

The length of the flower garden  = 32 - 2 . 3 = 32 - 6 = 26 m

The width of the flower garden  = 22 - 2 . 3 = 16 m

Note that if we substitute x = 24, it will results in negative values while the dimension is always positive.

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Answer:

7-t

Step-by-step explanation:

t+4+3-2t

= t+7-2t

= -t+7 or 7-t

The probability for the number of fish the bear caught is 0.289

Given,

Number of fish the bear tries to catch during day = 40

Number of attempts made by the bear at night = 50

Percentage of successful attempts during day = 20%

Percentage of successful attempts at night = 36%

Number of fish the bear caught during day = 40 × (20/100) = 4 × 2 = 8 fish

Number of fish the bear caught at night = 50 × (36/100) = 36/2 = 18 fish

Total number of fish the bear caught = 8 + 18 = 26 fish

Now,

Probability for the number of fish the bear caught:

Probability = Number of fish caught / Total attempts

Probability = 26 / (40 + 50)

Probability = 26 / 90

Probability = 0.289

Therefore,

The probability for the number of fish the bear caught is 0.289

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