plZ tell the answer fast
thank u​

PlZ Tell The Answer Fast Thank U

Answers

Answer 1
Question:

Evaluate using a suitable identity:  (997)³

Answer:

991026973

Step-by-step explanation:

Given:

(997)³

To solve this using an appropriate identity;

i. Rewrite by splitting the value in bracket (997) into a difference of two numbers. i.e

(997)³ = (1000 - 3)³

ii. Use the appropriate identity

Since the split from (i) above gave a cube of the difference of two numbers,  we can apply the following identity for finding the cube of the difference of two numbers;

(a - b)³ = a³ - b³ - 3ab(a - b)

In this case;

a = 1000

b = 3

(iii) Substitute the values of a and b into the identity equation and solve;

(1000 - 3)³ = 1000³ - 3³ - 3(1000)(3)(1000 - 3)

(1000 - 3)³ = 1000000000 - 27 - 9000(997)

(1000 - 3)³ = 1000000000 - 27 - 8973000

(1000 - 3)³ = 991026973

Therefore,

(997)³ = 991026973


Related Questions

Determine the solution, if any, to the system of equations below. 8. 2y = 1 - 4x + y = 3 Show your work or explain how you got your answer.​

Answers

Answer:

y=1/2 , x= -5/8

Step-by-step explanation:

⇒[tex]2y=1. -4x+y=3 : y=\frac{1}{2} \\\left \{ {{2y=1} \atop {-4x+y=3}} \right. \\ where: y=\frac{1}{2} \\-4x+\frac{1}{2}=3\\isolate for -4x+\frac{1}{2} =3: x=-\frac{5}{8} \\y=\frac{1}{2} : x=\frac{-5}{8}[/tex]

A scale model of a sculpture has a scale of 2:53
The height of the model is 20cm.
Find the height of the actual sculpture.
Give your answer in m.

Answers

Answer:

ok so we can simpley this is 1:106

so we multiply

20*106=2120 this is cm so we make it meters...

21.2meters!!!

Hope This Helps!!!

can someone please help for brainlest

Answers

87.6 square inches
Find the area of each face and add them all up together:
Area of triangular base- 1/2 • 6 • 5.2 = 15.6 in2
Area of 1 triangle side face:1/2 • 8 • 6 = 24 in2
Multiply 24 by 3 (bcos there are 3 triangular lateral faces) 24 • 3= 72

Add area of base and arae of all lateral faces:
72 + 15.6 = 87.6

SURFACE AREA: 87.6 square inches

Com.ment me if u have any questions!
If my answer was correct, brainliest please!
- SpaceMarsh

CAN SOMEONE HELP ME WITH THIS, PLEASE AND THANK YOU.

Answers

1 1/3 × 4

= 4/3 × 4

= 16/3

= 5 1/3

Answer:

5 1/3

Step-by-step explanation:

1 1/3 * 4

Change 1 1/3 to an improper fraction

1 1/3 = (3*1+1)/3 = 4/3

4/3 *4 = 16/3

Change to a mixed number

3 goes into 16 5 times with 1 left over

5 1/3

The length of the base of an isosceles triangle is x. The length of a leg is 3x-4. The perimeter of the triangle is 97. Find x.

Answers

Answer:

x = 15

Step-by-step explanation:

Given that,

The length of the base of an isosceles triangle is x.

The length of a leg is 3x-4.

Perimeter, P = 97

An isosceles triangle has one base. The perimeter of a triangle is given by :

97=x+3x-4+3x-4

97 = 7x-8

97+8=7x

105 = 7x

x = 15

So, the value of x is 15.

A board 180 cm long is cut into two pieces such that 3 times the length of the larger piece is 85 cm longer than 4 times the length of the smaller piece. How long are the two pieces of board?

Answers

Answer:

smaller piece is 65cm

larger piece is 115cm

Step-by-step explanation:

let 's' = smaller piece

let '180-s' = larger piece

3(180-s) = 85 + 4s

540 - 3s = 85 + 4s

540 = 85 + 7s

455 = 7s

s = 455/7 which is 65cm

larger piece = 180-65 or 115cm

Which ratios are equal to cos(B)? Choose the TWO ratios that apply.

Answers

Answer:2 and 5

Step-by-step explanation:

The ratios that are equal to [tex]cos(B)[/tex] : [tex]\bold{\frac{BC}{AB}}[/tex] and [tex]\bold{\frac{EF}{DE}}[/tex]

What are similar triangles?

"Two triangles are said to be similar

- if corresponding angles are equal and the sides

- if corresponding sides of the triangles are in proportion."

What is cosine angle?

In a right triangle,

cos(Ф) = (adjacent side of angle Ф) ÷ hypotenuse

For given example,

Triangles ABC and DEF are similar triangles.

This means, ∠A = ∠D, ∠B = ∠E, ∠C = ∠F

And, [tex]\frac{AB}{DE} = \frac{BC}{EF} = \frac{AC}{DF}[/tex]               ..............(i)

For a right triangle ABC,

the cosine of angle B is,

[tex]cos(B)=\frac{BC}{AB}[/tex]

From (i),

[tex]\frac{BC}{AB}=\frac{EF}{DE}[/tex]

So, the cosine of angle B is,

[tex]cos(B)=\frac{EF}{DE}[/tex]

Therefore, the ratios that are equal to [tex]cos(B)[/tex] : [tex]\frac{BC}{AB}[/tex] and [tex]\frac{EF}{DE}[/tex]

Learn more about similar triangles here:

https://brainly.com/question/25882965

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⚠️TEST QUESTION PLEASE HELP DUE IN 5 MINUTES⚠️

Answers

Answer:

Step-by-step explanation:

The letter c

y = 4x – 18
y = -5x +9

Answers

Answer:

(3, -6)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

Coordinates (x, y)Terms/CoefficientsSolving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

y = 4x - 18

y = -5x + 9

Step 2: Solve for x

Substitution

Substitute in y [2nd Equation]:                                                                           4x - 18 = -5x + 9[Addition Property of Equality] Add 5x on both sides:                                   9x - 18 = 9[Addition Property of Equality] Add 18 on both sides:                                   9x = 27[Division Property of Equality] Divide 9 on both sides:                                  x = 3

Step 3: Solve for y

Substitute in x [1st Equation]:                                                                           y = 4(3) - 18Multiply:                                                                                                             y = 12 - 18Subtract:                                                                                                            y = -6

Answer:

x=3

y = -6

Step-by-step explanation:

y = 4x – 18

y = -5x +9

Set the two equations equal

4x – 18 = -5x +9

Add 5x to each side

4x – 18 +5x= -5x+5x +9

9x -18 = 9

Add 18 to each side

9x -18 +18 = 9+18

9x =27

Divide by 8

9x/9 = 27/9

x = 3

Now find y

y = 4x-18

y = 4*3 -18

y =12-18

y = -6

find the value of discriminant of the equation X square + 10 x - 7 =02

Answers

Answer:

136

Step-by-step explanation:

as you know that discriminant of a quadratic equation is

D= b² - 4ac

here, according to the give equation

x² + 10x -7 -2= 0

x²+ 10x -9 = 0

b= 10 , c= -9 and a= 1

by putting all these values in D.

you can get the value of discriminant which is 136.

I got this explained answer from an app called GAUTHMATH. Which is completely dedicated to maths problem. You can check it out too. It's available on Play Store and App Store.

hope this helps.

harleys house has a value of £160000 correct to 2 significant figures
write down the least possible value of the house
write down the greatest possible value of the house

Answers

Answer:

155,000

159,999

Step-by-step explanation:

In order to correct to 2 significant figures, look at the third figure, if the number is greater or equal to 5, add 1 to the ten thousand figure. If this is not the case, add zero. Replace all the figures before the thousand figure with zero. i.e. the hundred ten, unit

e.g. Rounding off 10,999 to the nearest thousand is 11,000

In this example, the least figure, the thousand figure should have to be rounded off to 2 significant figures is 5 and the greatest figure it can have is 9

Sean las proposiciones p : "Cinco es mayor que diez" y q : "Dos más dos son cuatro". Escriba en lenguaje natural la proposición ∼p∧q

Answers

Answer:

"cinco es menor o igual que diez, y dos más dos son cuatro"

Step-by-step explanation:

Primero definamos los simbolos utilizados.

∧ significa "y"

∼ es el simbolo de la negación, es decir:

∼p significa "no p"

terminemos de resolver el problema para que el concepto quede claro.

si:

p = cinco es mayor que diez  (5 > 10)

entonces:

∼p = cinco es menor o igual que diez   (5 ≤ 10)

y

q = dos más dos son cuatro. (2 + 2 = 4)

entonces:

∼p∧q se escribe como:

"cinco es menor o igual que diez, y dos más dos son cuatro"

I need your help!!!

In which triangle is the value of x to tan^-1(3.1/5.2)??

(Images may not be drawned on the scale)

Answers

First one I believe

The angle of x in the right angle triangle is 30.80 degrees

Right angle triangle:

Right angle triangle have one of it angles as 90 degrees. The angles can be found using trigonometric ratios.

Let's find the angle x using trigonometric ratios;

tan x = opposite / adjacent

Therefore,

tan x = 3.1 / 5.2

x = tan⁻¹0.59615384615

x = 30.7991697243

x ≈ 30.80°

Therefore, the angle of x is 30.80 degrees

learn more on right angle triangle here: https://brainly.com/question/3770177

On a coordinate plane, a curved line with a minimum value of (0, 1) and a maximum value of (negative 1.3, 2.2), crosses the x-axis at (negative 2.2, 0) and crosses the y-axis at (0, 1).
Which statement correctly identifies a local minimum of the graphed function?

Over the interval [–3, –2], the local minimum is 0.
Over the interval [–2, –1], the local minimum is 2.2.
Over the interval [–1, 0.5], the local minimum is 1.
Over the interval [0.5, 2], the local minimum is 4.

Answers

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

cuz i did the test

Click an item in the list or group of pictures at the bottom of the problem and holding the button down drag it into the correct position in the answer box release mouse evaluate

Answers

Answer:

1/9

Step-by-step explanation:

0.1(repeating)

Thank you if anyone help me

Answers

Answer

The answer is y= x-3

- - - - -

5

Explanation

Replace

f(x) with y.

y =5x+3

Swap x and y.

x =5y+3

Solve for y.

x - 3=5y

x-35=y

Determine the measure of CD from the diagram below.
A
E
809
88

Answers

Answer:

88

Step-by-step explanation:

line AC is equal to line DB

Please help me with these three questions...
I will be really thankful for help​

Answers

Answer:

1. Terminating

2. 60

3. I don't know

Step-by-step explanation:

Question is in photo.
Thanks

Answers

Answer: yes

Step-by-step explanation: because if you can draw a line through the graph and hit most of the dots it would be considered linear.

Answer:

Yes

Step-by-step explanation:

The correlation of the dots is very strong although it can't be a straight line.

Hope this helps

đa thức p (x) = 2x ^ 3 - 3x ^ 2 + qx +56 có nhân tử là x-2 a) chứng tỏ q = -30? b) thừa số p (x) hoàn toàn và do đó xác định tất cả các nghiệm của p (x) = 0

Answers

ahiaiaoaoaoaooosoohjfjfjdkd

Estimate the perimeter and the area of the shaded figure to the nearest tenth.

Answers

5
units
10 for the second one ..

if the circumfrence of a circl is 18π inches, what is the radius of the circle

Answers

Answer:

r≈2.86

Step-by-step explanation:

Using the formula

C=2πr

Solving forr

r=C

2π=18

2·π≈2.86479

Find the missing length of the triangle. 12 in 85 in.​

Answers

Answer:

From Pythagoras Theorem

The square of the hypotenuse is equal to the sum of the squares of the other two sides

C² = 12² + 35²

C= √12²+35²

C= 37in

Answer:

side c = 37 in.

Step-by-step explanation:

side c is the hypotenuse as it is opposite of right angle (90 degree ).

12 and 35 are the two other smaller sides of the given right angles triangle.

using pythagoras theorem to find side c

a^2 + b^2 = c^2

12^2 + 35^2 = c^2

144 + 1225 = c^2

1369 = c^2

[tex]\sqrt{1369}[/tex] = c

37 = c

pls explaing by tep by step

Answers

Answer:

a = 3

Step-by-step explanation:

If (x+3) is a factor of f(x) = x³+ax²+x+3,

From remainder theorem,

When we substitute -3 into the expression, we equate to zero

That is,

F(-3) = 0

(-3)³+a(-3)²+(-3)+3 = 0

-27+9a-3+3 = 0

9a = 27

divide both sides by the coefficient of a

a = 27/9

a = 3

Hence the value of a = 3

It takes for plumbers five days to fit central heating in an office block. How long would it take ten plumbers?

Answers

Answer:

2 days

Step-by-step explanation:

It takes four plumbers five days

total labor needed

4 * 5 = 20 days

How long would it take ten plumbers?

20 / 10 = 2 days

calculate (4.8×10⁵)÷(1.2×10³),give your answer in standard form to 3 significant figures​

Answers

Step-by-step explanation:

pleae mark as brain list please give me some thanks please

= 4.8 / 1.2 x 10^5 / 10^3
= 4 x 10^2
= 4.00 x 10^2 (3 sf)

probability please help i will give brainliest

Answers

There are (5 C 1) = 5! / (5 - 1)! = 5 ways of drawing a red marble, and (11 C 1) = 11! / (11 - 1)! = 11 ways of drawing any marble, so that the probability of drawing a red marble is 5/11.

After putting back the first marble, the probability of drawing another red is again 5/11.

So the probability of drawing 2 red marbles with replacement is (5/11)² = 25/121.

if you horizontally shift the square root parent function f(x)=√x left two units what is the equation of the new function​

Answers

Answer:

[tex] \sqrt{x + 2} [/tex]

If you horizontally shift the square root parent function f(x)=√x left two units the equation of the new function is: g(x) = √(x + 2).

What is horizontal shift?

A horizontal shift is a function transformation that shifts a graph to the left or right without changing its shape.

If we want to shift the square root parent function f(x) = √x two units to the left, we must replace the argument x with (x + 2), because a positive value of x + 2 gives us the same x value two units to the left.

So the equation of the new function is:

g(x) = √(x + 2)

This new function is the square root function shifted two units to the left. For any given input value of x, we add 2 to it before taking the square root. This causes the graph to shift horizontally to the left by two units.

Thus, g(x) = √(x + 2) will be the new function.

For more details regarding horizontal shift, visit:

https://brainly.com/question/20518934

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Help me to do this set question ​

Answers

Fr it’s a hope it helps

the question how old is my mathematics teacher is an example of non statistical question which of the following make it a statistical question?​

Answers

Include options please

The statistical question is "What is the typical age of the grade 7 Mathematics teacher?"

How to determine the statistical question?

The question is given as:

"how old is my mathematics teacher?"

A statistical question is such that requires statistical data to be answered or completed.

A statistical question for "how old is my mathematics teacher?" could be "What is the typical age of the grade 7 Mathematics teacher"

Read more about statistical question at:

https://brainly.com/question/15980493

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