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Answer:

[tex]a^3 + b^3 = -4[/tex]

Step-by-step explanation:

Given

[tex]a + b = 3ab = 2[/tex]

Required

Solve: [tex]a^3 + b^3[/tex]

Rewrite the expression as:

[tex]a^3 + b^3 = a^3 - a^2b +ab^2 + a^2b - ab^2 + b^3[/tex]

Factorize

[tex]a^3 + b^3 = a(a^2 - ab +b^2) + b(a^2 - ab + b^2)[/tex]

[tex]a^3 + b^3 = (a + b)(a^2 - ab + b^2)[/tex]

Rewrite as:

[tex]a^3 + b^3 = (a + b)(a^2 + b^2- ab)[/tex]

[tex]a^3 + b^3 = (a + b)(a^2 + b^2+2ab - 3ab)[/tex]

Factorize

[tex]a^3 + b^3 = (a + b)((a + b)^2 - 3ab)[/tex]

Open brackets

[tex]a^3 + b^3 = (a + b)^3 - 3ab(a + b)[/tex]

Given that:

[tex]a + b = 3ab = 2[/tex]

This means that:

[tex]a + b = 2[/tex] and [tex]3ab = 2[/tex]

So, we have:

[tex]a^3 + b^3 = (a + b)^3 - 3ab(a + b)[/tex]

[tex]a^3 + b^3 = 2^3 - 3 * 2 * 2[/tex]

[tex]a^3 + b^3 = 8 - 12[/tex]

[tex]a^3 + b^3 = -4[/tex]

Answer:

9103.71828183

Step-by-step explanation:

9103.71828183=200+5-4+e+9000+100-200

Answer:

451.87 knots.

Step-by-step explanation:

Hope this helps

The average speed of the plane is 520 Knots.

Speed is the rate at which an object's position changes, measured in meters per second. For example, if an object starts at the origin, and then moves three meters in three seconds, its speed is one meter per second. The equation for speed is simple: distance divided by time

Given here: Distance travelled 390 nautical miles and t is 45 mins or 0.75 hours

Thus speed of the plane is = 390/0.75

                                             = 520

Hence, The average speed of the plane is 520 Knots.

Learn more about the speed of an object here:

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Answer:

13a) E is (a,3b)

13b) I is (4a,0)

Step-by-step explanation:

Answer:

The answers that I got from solvng it:

13a) E is (a,3b)

13b) I is (4a,0)

Sorry, if it isnt right...

Answer:

6 lb 12 oz is the answer

Step-by-step explanation:

Just did the subtraction

Answer:

the answer for this question is C.270

Answer:

-73

Step-by-step explanation:

Answer:

-73

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

A P E X

Answer:

mamfred stubbornly vows to never fly agin

Step-by-step explanation:

Answer:

250 gallons of water are being pumped out each hour

Step-by-step explanation:

It tells us that W is the amount of water in the pool at a time. It also tells us that at the start there is 9000 gallons in the pool. We also know t is the time in hours so 1 t = 1 hour.

W=9000-250t

We can substitute in what we know

The amount of water in the pool = 9000 gallons - 250 gallons times 1 hour

so that means if one hour passes 250 gallons are removed, and if 2 pass then 500 are removed showing that for every hour the pump is on 250 gallons of water are being sucked from the pool

Answer:

Below

Step-by-step explanation:

False, negative times negative is always positive.

True, 10,000 is less than 99,999, so subtracting them will be negative.

False, 34 and 43 aren't equal to eachother so subtracting them can't end up to 0.

False. If you follow PEMDAS, you have to do multiplication first. In the left side, -80(30) is a negative value, while in the right, (-30)(-80) is a positive value.

Answer:

2.526 gallons is the answer. I used a calculator

Answer:

QUESTION:

2.056 gal + 0.47 gal

ANSWER:

(2.05600 US gallons) + (0.47 US gallons) =

2.52600 US gallons

Step-by-step explanation:

Hope that this helps you out! :)        

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Answer:

g(h(x)) = 9x² + 12x - 3

h(g(x)) = -3x² - 19

Step-by-step explanation:

g(h(x)) = (3x² + 2)² - 7

= 9x² + 6x + 6x + 4 - 7

= 9x² + 12x - 3

h(g(x)) = 3(x² - 7) + 2

= 3x² - 21 + 2

= 3x² - 19

Answer:

1. DB = 10 as diagonals of isosceles trapezoid are congruent

2. ∠DAB and ∠BCD are supplementary angles

3. ∠BCD is congruent with ∠ADC as trapezoid is isosceles

4. AB = 15, DC = 25,

5. m∠ADC = 2x - 10, m∠ABC = 3x + 40

These are supplementary, find x first:

Answer:

-1 is greater than -2 because the further left of the number line from zero you go the smaller the number gets

Step-by-step explanation:

Answer:

-2 is smaller than -1

Step-by-step explanation:

Answer:

x = 1

y = 2

Step-by-step explanation:

substitution method:

y = x+1

2(x+1) = 5 - x

2x + 2 = 5 - x

3x = 3

x = 1

find 'y':

y = 1+1

y = 2

Answer:

B. [tex] - \frac{5}{4} [/tex]

Step-by-step explanation:

Line is passing through the points (-4, 0) & (0, - 5)

Slope of the line

[tex] = \frac{ - 5 - 0}{0 - ( - 4)} \\ \\ = \frac{ - 5}{4} \\ \\ = - \frac{5}{4} [/tex]

The value of the expression given in the task content upon solving the expression according to PEMDAS is; 11.

It follows from the task content that the expression given whose value is to be determined is; 9 + (20 x 1/4 ) − 6 ÷ 2.

By first solving the parentheses, we have;

9 + (5) − 6 ÷ 2

= 9 + 5 -3

= 11.

Hence, the value of the expression in discuss is; 11.

Read more on PEMDAS;

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=13+18-3

=31-3

=28

the answer is 28

Answer:

28

Step-by-step explanation:

According to Order of Operations rules, we must multiply here before adding or subtracting.

In 7 +6 - 9(-2) + (-3) the very first thing we must do is to evaluate the product -9(-2).  This comes out to 18, so now we have:

7+6 + 18 +(-3).

Next, remove the remaining parentheses, obtaining:

7 + 6 + 18 - 3, or

  13    +    15              =     28

Answer:

d + 23 = 69

d = 46

Step-by-step explanation:

The equation is: 23 + d = 69. This is because sum always means to add, and the problem says 69 is the sum of Diego's score.

Can I have brainliest?

Answer:

32pi ftsquared or

100.48ft squared (multiplied by 3.14)

Step-by-step explanation:

a = piR^2

Answer:

I couldn't find questions.

You can follow me ask help

Answer:

nose

Step-by-step explanation:

dios porque nose ayudame dios mio

Answer:

x = − 9 , − 4 , 4

Step-by-step explanation:

Each crate is in the shape of a rectangular solid. Its dimensions are length, width, and height. The rectangular solid shown in the image below has a length  

4  units, width  2  units, and height  3

units. Can you tell how many cubic units there are altogether? Let’s look layer by layer.

Breaking a rectangular solid into layers makes it easier to visualize the number of cubic units it contains. This  

4  by  2  by  3  rectangular solid has  24 cubic units.

A rectangular solid is shown. Each layer is composed of 8 cubes, measuring 2 by 4. The top layer is pink. The middle layer is orange. The bottom layer is green. Beside this is an image of the top layer that says  

Altogether there are  24  cubic units. Notice that  24  is the length × width × height.

The top line says V equals L times W times H. Beneath the V is 24, beneath the equal sign is another equal sign, beneath the L is a 4, beneath the W is a 2, beneath the H is a 3.

The volume,  V, of any rectangular solid is the product of the length, width, and height.

V = L W H

We could also write the formula for the volume of a rectangular solid in terms of the area of the base. The area of the base,  B, is equal to length × width. B = L ⋅ W

We can substitute  

B  for  L ⋅ W  in the volume, formula to get another form of the volume formula.

The top line says V equals red L times red W times H. Below this is V equals red parentheses L times W times H. Below this is V equals red capital B times h.

We now have another version of the volume formula for rectangular solids. Let’s see how this works with the  

4 × 2 × 3

Besides the solid is V equals Bh. Below this is V equals Base times height. Below Base is parentheses 4 times 2. The next line says V equals parentheses 4 times 2 times 3. Below that is V equals 8 times 3, then V equals 24 cubic units.

Answer:

yes

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

None of the given sides or angles are congruent, so they are not congruent.

Answer:

8 1/2

Step-by-step explanation:

2 1/2 + 2 1/3 + 3 2/3

= 2 3/6 + 2 2/6 + 3 4/6

= 7 9/6

= 8 3/6

= 8 1/2

Answer:40

Step-by-step explanation:To find the area of a trapzoid first add base a to base b then multiply the height then after divide the product by 2 the answer is 40 because the height for the trapzoid is 5 and for base 1 is 6 also base 2 is 10.First add 10+6=16 then muitiply 16x5=80 divide 80 with 2 will give you 40.

Answer:

107.50

Step-by-step explanation:

107.50 times 40 percent is 43

Answer: the answer is 107.5

Step-by-step explanation:

use

is/of = %/100 the / are fraction