without actually calculating the cubes, find the value of (16)^3+(-7)^3+(-9)^3

Answers

Answer 1
the value i got was 3024
Answer 2

Answer:

(16)^3 = (7 + 9)^3 = 7^3 + 9^3 + 3 x 7^2 x 9 + 3 x 9^2 x 7

=>(16)^3 + (-7)^3 + (-9)^3 = (-7)^3 + (-9)^3 + 7^3 + 9^3 + 3 x 7^2 x 9 + 3 x 9^2 x 7

                                    =  [(-7)^3 + 7^3] + [9^3 + (-9)^3] + 3 x 7^2 x 9 + 3x9^2x7

                                    =  0 + 0 + 3 x 7^2 x 9 + 3 x 9^2 x 7

                                    = 3 x 7^2 x 9 + 3 x 9^2 x 7

                                    = 3 x 9 x 7 x (7 + 9)

                                    = 3 x 7 x 9 x 16

                                    = 3 x 7 x 9 x 8 x 2

                                    = 6 x 7 x 8 x 9

                                    = 3024

Hope this helps!

:)


Related Questions

PLEASE SEE PIC BELOW

Answers

Answer: third one

Step-by-step explanation: if you do the equation you will see the result and will be equivalents to numbers higher or exact to 0.

WRITE AN EQUATION
you bought a magazine for $5 and four erasers. you spent a total of $25. write a tip step equation to find the cost of the erasers.


5+x=25. 5+4x=25. 5x=25. 25 - 5 =-4x

Answers

Answer:

5+4x=25

Step-by-step explanation:

Answer:

5+4x=25

Step-by-step explanation:

3) What is the volume of a ball with a
diameter of 6 centimeters? Use 3.14

Answers

You can just google volume of a sphere calculator and plug the radius (3 cm) in :)

Which shows a perfect square trinomial please help soon

Answers

Answer: The answer is C, the third one.

Step-by-step explanation: Copy and paste the whole page into google. The top brainly result will appear and give the answer.

Look at the right-angled triangle ABC.
A
320
B
С
The square fits exactly inside the triangle.
Work out the sizes of angles x, y and z.​

Answers

Answer:

∠x = 90°

∠y = 58°

∠z = 32°

Step-by-step explanation:

The dimensions of the angles given are;

∠B = 32°

Whereby ΔABC is a right-angled triangle, and the square fits at angle A, we have;

∠A = 90°

∴ ∠B + ∠C = 90° which gives

32° + ∠C = 90°

∠C = 58°

∠x + Interior angle of the square = 180° (Sum of angles on a straight line)

∴ ∠x + 90° = 180°

Hence;

∠x = 90°

∠x + ∠y + 32° = 180° (Sum of angles in a triangle)

∴ 90° + ∠y + 32° = 180°

∠y = 180 - 90° - 32° = 58°

∠y + ∠z + Interior angle of the square = 180° (Sum of angles on a straight line)

58° + ∠z +90° = 180°

∴ ∠z = 32°

∠x = 90°

∠y = 58°

∠z = 32°

Find the indicated side of the right triangle. Please help

Answers

Answer:

14

Step-by-step explanation:

[tex] \sin \: 30 \degree = \frac{7}{x} \\ \\ \frac{1}{2} = \frac{7}{x} \\ \\ x = 2 \times 7 \\ \\ x = 14[/tex]

A set of line segments has the lengths, 4,10, and 12. Would the segments form a triangle?

Answers

Answer:

Yes, the segments would form a triangle.

Step-by-step explanation

If the two shortest lengths are equal to or greater than the longest, it can form a triangle.

Answer:

yes

Step-by-step explanation:

Add any two sides and see if it is greater than the third   for all three sides

4+10 > 12  true

10+12 > 4  true

12+4 > 10  true

Then the three sides form a triangle

All Food City oranges are normally $3 per pound, but this week they are on sale for $2 per
pound. What is the percent decrease in price?

Answers

Answer:

33.33%

Step-by-step explanation:

The oranges have decreased by one dollar per pound so you have to find the percentage of 3 that is 1. To do this is 1 over 3 multiplied by 100%

= [tex]\frac{1}{3} \\[/tex] * 100%

And this will give you 33.33%

Look at the polyhedron that you chose at the beginning. Which two solids do you need to create your polyhedron? How many of each solid do you need?

Answers

Answer:

2 Tetrahedrons combined create an Octahedron.

Step-by-step explanation:

Despite the lack of information.

The Plato Polyhedrons are Tetahedron, Cube (Hexaedron), Dodecahedron, Octahedron and Icosahedron. They are regular ones, made up by regular plane figures.

An Octahedron can be built by combining two pyramids. Each Tetrahedron is made up by 4 equilateral triangle.

Solve for f.

6(10 + 14f) = 4(–12 + 12f)

f =

Answers

Answer:

f = -3

Step-by-step explanation:

→Distribute the 6 to (10 + 14f), and the 4 to (-12 + 12f):

6(10 + 14f) = 4(-12 + 12f)

60 + 84f = -48 + 48f

→Subtract 48f from both sides:

60 + 36f = -48

→Subtract 60 from both sides:

36f = -108

→Divide both sides by 36:

f = -3

Answer:

-3

Step-by-step explanation:

6(10 + 14f) = 4(–12 + 12f)

Expand out

60 + 84f = -48 + 48f

Subtract -48 to both sides to bring the numerical to one side

108 + 84f = 48f

Minus 84f from both sides to isolate 12

108 = -36f

Divide both sides by -36 to isolate f

-3 = f

Johnny earns $5 per day delivering newspapers. What equation shows how much money m he earns delivering papers for d days

Answers

Answer:

Step-by-step explanation: so, he earns 5 dollars every day, and he starts off with 0 with the y=mx+b form you would y or m in this case is equal to 5x or is this case d so ot would be m=5d

Answer:m=5d

Step-by-step explanation:

Is triangle LWO congruent to triangle BST?

Answers

Answer:last one

Step-by-step explanation:

last one

Answer:

lasat oine

Step-by-step explanation:

B) Given equation is, 5x² - 3x -4 =0
On comparing with ax² +bx + c= 0 we get :
C) In fig .AB is 80m tall light house, the two ships are at C and D.

I had given the main answer in short now u do it ...
It's in your books mate find out !!

Answers

Answer : The First Answer is in the picture above and second question is incorrect ..

Step-by-step explanation:

Hope it works out !!

2(4x+3)=10x-2

So like how in hell do you do this I’m soooo confused

Answers

Answer:

4

Solution,

2(4x+3)=10x-2

or,8x+6=10x-2

or,8x-10x=-2-6

or,-2x=-8

or,X=-8/-2

X=4

Hope it helps

Good luck on your assignment

Answer:

x = 4

Step-by-step explanation:

First you want to distribute the terms:

2(4x+3) = 10x-2

8x+6 = 10x-2

then combine like terms:

8x+6 = 10x-2

-8x         -8x

6 = 2x-2

+2      +2

8 = 2x

x = 4

What is the slope of the line y=3?

Answers

Answer:

The slope is zero.

Step-by-step explanation:

Imagine the graph. [tex]y=3[/tex] would simply be a horizontal line. All horizontal lines have slopes of 0. You can also use the slope formula if necessary to try it out.

On the other hand, if the line was vertical (e.g. [tex]x=3[/tex]), then the slope would be undefined.

Answer: The line y=3 is a horizontal line, and a horizontal line has a slope of zero. The only lines parallel to a horizontal line are other horizontal lines. Therefore, there is no slope.

Step-by-step explanation:  y=3  rewritten as  y=0x+3

For a line equation for the form of y=mx+b, the slope is m

m=0

what are the coordinates of D’

Answers

Answer:

(-2,-1)

Step-by-step explanation:

Reflection across the x-axis is: [tex](x,y)\rightarrow(x,-y)[/tex]

We need to multiply the y-value of the pre-image by negative one to get reflected across the x-axis.

1 * -1 = -1

So:

[tex](-2,1)\rightarrow(-2,-1)[/tex]

D' should be (-2,-1).

mary practiced piano for two or more hours each week write and solve an inequality to represent how many hours mary practiced the piano in 4 weeks

Answers

Answer:

Therefore the inequality that represents her practice in four weeks is: [tex]\text{four week practice} \geq 8[/tex]

Step-by-step explanation:

Mary practiced the piano for two or more each week, in other words the number of hours practiced in a week must be equal or greater than 2. A math expression that can represent this situation can be seen below:

[tex]\text{week practice} \geq 2[/tex]

The problem wants us to write an inequality to state how many hours she practiced in four weeks. In order to do this, we need to multiply the number of hours she practiced in a week, given by the last expression, by four. We have:

[tex]\text{four week practice} \geq 4*2\\\text{four week practice} \geq 8[/tex]

Therefore the inequality that represents her practice in four weeks is: [tex]\text{four week practice} \geq 8[/tex]

Maria rewrites a fraction less than 1 as a decimal. The numerator is a whole number greater than 0. Which denominator will the fraction always convert to a repeating decimal?

Answers

Answer:

The answer is 11

Step-by-step explanation:

Since 11 is a prime number, it cannot be divided by anything, so when it is divided by something, it will always result in a repeating decimal.

Answer:

11

Step-by-step explanation:

Given A(1, 7), B(8, 4) , and C(3, 10) ), which coordinate pair will make AB parallel to CD?

Answers

Answer:

I'm 50% sure it is B)8,4

We want to find the coordinates of a point D such that AB is parallel to CD.

The coordinates of D are: D (10, 7).

We have that:

A(1, 7)B(8, 4)C(3, 10)D(x, y).

If we want CD to be parallel to AB, then the change in the components between D and C must be the same as the change in the components between B and A.

The change in the x-component between B and A is:

8 - 1 = 7

The change in the y-component between B and A is:

4 - 7 = -3

Then the coordinates of D are given by:

x = 3 + 7 = 10

y = 10 + (-3) = 7

The coordinates of D such that CD is parallel to AB are:

D(10, 7).

Notice that this is just an option, there are a lot of other possible coordinates that will also make CD parallel to AB, this is just the easier one to find.

If you want to learn more, you can read:

https://brainly.com/question/12858856

What is the area of the parallelogram. A. 131.1 m² B. 197.34 m² C. 262.2 m² D. 394.68 m²​

Answers

Answer:

D) 394.68cm^2

Step-by-step explanation:

Area of a parallelogram is calculated by multiplying height to the base

13.8 × 28.6 = 394.68

Answer:

area of parallelogram= length of base × perpendicular height

28.6×13.8

= 394.68m²

32. Find the coordinates M (x, y) of the midpoint of the line segment PQgiven P (-7,3) and Q
(5, -9)

Answers

Step-by-step explanation:

(0,-3)will be the mid point . PLEASE MARK ME AS A BRAINLIEST ANSWER AND FOLLOW ME.

The answer is (1,-3)

please see the attached picture for full solution

hope it helps

Good luck on your assignment

Stay safe....

Which of the following inequalities are correct?
A - 2/3 < - 1/3
B. 0 > - 2/3
C. - 1/3 < -2/3

Answers

[tex]\text{In order for an inequality to be correct, the inequality has to be TRUE}\\\\\text{When we look at answer choice A, we see that -2/3 is less than -1/3}\\\text{This is true because -1/3 is closer to 0 on the number line, making it bigger}\\\text{than -2/3}\\\\\text{When we look at answer choice B, 0 is greater than -2/3. This is true}\\\text{because 0 is bigger than -2/3, since -2/3 is on the negative side}\\\\\text{When you look at answer choice C, -1/3 is less than -2/3. This is not}\\[/tex]

[tex]\text{true because -2/3 is not bigger than -1/3, since -1/3 is closer to 0.}\\\\\text{Therefore, answer choices A and B should be correct}[/tex]

Find the value of x.
please i need the answer today.
Thank you.​

Answers

Answer:

x = 61.92751306

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta =  opposite / adjacent

tan x = 15/8

Take the inverse tan on each side

tan ^ -1 (tan x) = tan ^ -1 (15/8)

x = 61.92751306

Answer:

Step-by-step explanation:

tan x = 15/8

tanx = 15/8    ... 1

cot x = 8/15..... 2

multiply 1 and 2

tanx * cotx = 15/8 * 8/15

x [ tan * 1/tan]  =  1

x = 1

hope it is correct. i just tried

hiiiiiiiiiiiiiiiiiiiii

Answers

Answer: $14.88x + $8.88y

Step-by-step explanation:

x represents adult ticket

y represents child ticket

Value of adult tickets = 14.88 * x

Value of child tickets = 8.88 * y

So the equation is

14.88x + 8.88y

Answer:

Hi

Step-by-step explanation:

According to my calculations, the answer is C.

HOPE THIS HELPS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Consider the incomplete paragraph proof. Given: Isosceles right triangle XYZ (45°–45°–90° triangle) Prove: In a 45°–45°–90° triangle, the hypotenuse is StartRoot 2 EndRoottimes the length of each leg. Triangle X Y Z is shown. Angle X Y Z is 90 degrees and the other 2 angles are 45 degrees. The length of X Y is a, the length of Y Z is a, and the length of X Z is c. Because triangle XYZ is a right triangle, the side lengths must satisfy the Pythagorean theorem, a2 + b2 = c2, which in this isosceles triangle becomes a2 + a2 = c2. By combining like terms, 2a2 = c2. Which final step will prove that the length of the hypotenuse, c, is StartRoot 2 EndRoot times the length of each leg? Substitute values for a and c into the original Pythagorean theorem equation. Divide both sides of the equation by two, then determine the principal square root of both sides of the equation. Determine the principal square root of both sides of the equation. Divide both sides of the equation by 2.

Answers

Answer:

(C)Determine the principal square root of both sides of the equation.

Step-by-step explanation:

Given: Isosceles right triangle XYZ (45°–45°–90° triangle)

To Prove: In a 45°–45°–90° triangle, the hypotenuse is [tex]\sqrt{2}[/tex] times the length of each leg.

Proof:

[tex]\angle XYZ$ is 90^\circ$ and the other 2 angles are 45^\circ. \\\overline{XY} = a, \overline{YZ}= a, \overline{XZ}= c.\\[/tex]

Because triangle XYZ is a right triangle, the side lengths must satisfy the Pythagorean theorem, [tex]a^2 + b^2 = c^2[/tex]

Since a=b in an isosceles triangle:

[tex]a^2 + a^2 = c^2\\$Combining like terms\\2a^2 = c^2\\$Determine the principal square root of both sides of the equation.\\\sqrt{c^2}=\sqrt{2a^2} \\\\c=a\sqrt{2} \\[/tex]

Therefore, the next step is to Determine the principal square root of both sides of the equation.

Answer: C and hoped this helped and please mark as brainlest.

At Daisy Donuts, 5 of the last 20 donuts sold had sprinkles. What is the experimental probability that the next donut sold will have sprinkles? Write your answer as a fraction or whole number. P(sprinkles) =

Answers

Answer:

1/4

Step-by-step explanation:

5/20 donus had sprinkles

So the probability will be 5/20 = 1/4

A cake is made out of 2 identical trapezoids. Each trapezoid has a height of 11 inches and base of 9 inches and 14 inches . What is the area of one of the trapezoid pieces

Answers

Answer:

Area is 126.5 inches^2

Step-by-step explanation:

Mathematically, to calculate the area of the trapezoid, we use the following mathematical formula;

A = 1/2(a + b) h

here, a and b represents the two parallel sides which is 9 and 14 inches here and h which is the height is 11

Plugging these values into the equation, we have

A = 1/2(9 + 14)11

= 1/2(23)11 = (23*11)/2 = 126.5 inches^2

How much money should you save each month?

A. Always save 5% of your income

B. You must decide what you can afford

C. Save $50 from every paycheck

D. Only save your spare change

Answers

Answer:

I prefer 5% of your income should be saved each month

Answer:

b. you must decide what you can afford

Step-by-step explanation:

i just took the quiz and that's the correct answer

PLEASE HELP WITH THIS I NEED HELP PLEASE ANYONE!!!!!!!!

How much money does Ed earn in interest after 16 years if he deposits $600 dollars in an account that pays 2.75% annual simple interest?

A.$16.50
B.$336
C.$264
D.$864

Answers

The answer is $16.50

What is the answer for 2(x+1)-(x+1) ^2?

Answers

Answer:

Step-by-step explanation:

Answer: x+3^2

Step-by-step explanation:

2(x+1)-(x+1) ^2

2x-x+-x^2+1

x+-x^2+1

-x^2+1

Hope this helps

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