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

what is 11010^2 - 1101^2​

Answers

Answer:

-120,007,899

Step-by-step explanation:

Given :

[tex]11010^{2} -1101^{2}[/tex]

It can be solved as :

[tex]11010^{2} -1101^{2}[/tex]

121,220,100-1212201

-120,007,899

Therefore, answer will be -120,007,899

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\mathsf{11,010^2 - 1,101^2}[/tex]

[tex]\mathsf{11,010^2}[/tex]

[tex]\mathsf{= 11,010 \times 11,010}[/tex]

[tex]\mathsf{= \boxed{\bf 121,220,100}}[/tex]

[tex]\mathsf{\bold{121,220,100} - 1,101^2}[/tex]

[tex]\mathsf{1,101^2}[/tex]

[tex]\mathsf{= 1,101 \times 1,101}[/tex]

[tex]\mathsf{= \boxed{\bf 1,212,201}}[/tex]

[tex]\mathsf{121,220,100 - \bf 1,212,201}[/tex]

[tex]\mathsf{= \boxed{\underline{\bf 120,007,899}}}[/tex]

[tex]\boxed{\boxed{\huge\textsf{Answer: \underline{\bf 120,007,899}}}}\huge\checkmark[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

April is randomly choosing five CDs to bring in her car from the following: 6 pop CDs, 8 rock CDs, and 10 R&B CDs.

What is the complement of April choosing five pop CDs?

choosing five CDs where none of them are pop
choosing five CDs where not all of them are pop
choosing five CDs where at least one of them is pop
choosing five CDs where all of them are pop

Answers

Answer:

Choosing five CDs where not all of them are pop.

Step-by-step explanation:

Answer:

B)  choosing five CDs where not all of them are pop

Step-by-step explanation:

E2020

what is the value of the expression below?​

Answers

Answer:

C

Step-by-step explanation:

Using the rule of exponents/ radicals

[tex]a^{\frac{1}{2} }[/tex] = [tex]\sqrt{a}[/tex] , then

[tex]121^{\frac{1}{2} }[/tex] = [tex]\sqrt{121}[/tex] = 11 → C

The seventh term of an arithmetic series is 29 and the sum of the first seventeen terms is 629. Find the sum of the first 100 terms of the series.

Answers

Step-by-step explanation:

everything can be found in the picture

Please help me with this question.

Answers

Answer:

[tex]80\text{ square miles}[/tex]

Step-by-step explanation:

Since the map is using a scale of 1 inch : 5 miles, to find the scale of square inches to square miles, square the ratio:

[tex]\implies 1\text{ square inch}:25\text{ square miles}[/tex]

Since the section of land has an area of 3.2 square inches, the actual area of the section of land must be [tex]3.2\cdot 25=\boxed{80\text{ square miles}}[/tex]

Question 7 of 10 Classify the following triangle. Check all that apply. 6 D A. Scalene D B. Right C. Obtuse D. Isosceles E. Acute F. Equilateral​

Answers

Answer:

Right angle triangle

Acute

Step-by-step explanation

1 right angle/90 degrees

2 acute angles

Which table shows a proportional relationship between a and b?
A.
a b
3 9
4 12
5 20
B.
a b
20 25
24 30
32 40
C.
a b
4 12
5 15
6 24
D.
a b
3 4
6 9
12 16

Answers

B I think I’d the answe

35 into binary number

Answers

Answer:

35 in binary is 100011.

Step-by-step explanation:

To find decimal to binary equivalent, divide 35 successively by 2 until the quotient becomes 0.

The number 35 in binary form should be 100011

Which radical expression, when simplified, equals -8?

Answers

Answer:

Where are the radical expressions?

Step-by-step explanation:

AC and DG are parallel. Find the value of x, show CLEARLY how you got your answers with reasons

Answers

Answer:

x = 79°

Step-by-step explanation:

∠ABE = ∠BEF  = 41°           [Alternate angle ]

Now sum of angles of a triangle = 180°

Therefore,

∠EBF + ∠BEF + ∠BFE = 180°

60° + 41° + x = 180°

x = 180° - 60° - 41°

x = 79°

A 3 by 3cm grid shows nine 1 by 1 cm squares and uses 24cm of wire.

What length would the wire be for a similar 20 by 20cm sqaure

Answers

Answer:

840 cm

Step-by-step explanation:

Given that in the question we have, : 9, 1 cm × 1 cm squares setting a 3 × 3 grid.

Therefore wire required in 3 x 3 grid is

3(3+1) + 3(3+1)

= 3 × 4 + 3 × 4

= 24 I'm

Similarly, the length of the wire required in 20 by 20 grid will be

=> 20(20+1) + 20(20+1)

=> 20 × 21 + 20 × 21

=> 420 + 420

= 840cm

Simplify......................​

Answers

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \frac{( {a}^{2} + {b}^{2} )}{a} }}}}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex] \frac{ {a}^{4} - {b}^{4} }{ {a}^{3} - a {b}^{2} } [/tex]

[tex] \\= \frac{ ({ {a}^{2} })^{2} - { ({b}^{2} })^{2} }{a( {a}^{2} - {b}^{2} )} [/tex]

[ ∵ (a²)² = [tex]{a}^{4}[/tex] ]

[tex] \\= \frac{( {a}^{2} + {b}^{2} )( {a}^{2} - {b}^{2}) }{a( {a}^{2} - {b}^{2}) } [/tex]

[tex] \\= \frac{( {a}^{2} + {b}^{2} )}{a} [/tex]

Note:

[tex] {a}^{2} - {b}^{2} = (a + b)(a - b)[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{ヅ}}}}}[/tex]

I need help!!! Parallel lines p and q are cut by two non parallel lines m and n as shown in the figure the value of x is degrees and the value of y is degrees

Answers

Answer:

x = 78° , y = 115°

Step-by-step explanation:

The angle adjacent to x on the left side is corresponding to 102° , then

x = 180° - 102° = 78°

----------------------------------------

y and 115° are corresponding angles and congruent, then

y = 115°

Help me plssss? Thanks

Answers

Answer:

B

Step-by-step explanation:

a bicycle was sold for $285 at a discount of 5% calculate the cost price of that bicycle​

Answers

270.75$ is the price of the bicycle

Answer:

Cost price = $300

Step-by-step explanation:

Let the cost price be = x

Discount % = 5%

Price after discount = $285

Find Cost price .

 [tex]Price \ after \ discount = x - (5 \% \ of \ x)\\\\285 = x - \frac{5}{100}x\\\\285 = \frac{100 - 5 }{100} x\\\\95x = 285 \times 100\\\\x = \frac{28500}{95} = \$ 300[/tex]

i cant do this lollllllll

Answers

The answer would be 6. When you do the parentheses, it gives you 3. 3 squared is 9, which added with 9 is 18. 18 divided by 3 is 6.

Answer:

12

Step-by-step explanation:

first, do the question in parenthesis

then do the questions in the exponent

then do the question with division

then do addition part

(7-4)^2 = (3)^2

9/3 = 3

9+3 = 12

please help me i have geo finals​

Answers

Answer:

x = 8

Step-by-step explanation:

Given 2 intersecting chords.

Then the product of the parts of one chord is equal to the product of the parts of the other chord, that is

14(2x + 2) = 12(2x + 5) ← distribute parenthesis on both sides

28x + 28 = 24x + 60 ( subtract 24x from both sides )

4x + 28 = 60 ( subtract 28 from both sides )

4x = 32 ( divide both sides by 4 )

x = 8

An exam has 20 exercises.For every exercise solved correctly you get 8 points and for every exercise solves wrong are taken off 5 points.Ben had 13 points.How many exercises did he solve?

Answers

Answer:

13 exercises

Step-by-step explanation:

The number of exercises in the exam = 20

The points received for questions solved correctly = 8 points

The points taken off for exercises solved wrong = 5 points

The number of points Ben has = 13 points

Let 'c' represent the number of exercises he solved correctly and let 'w' represent the number of exercises he solved wrong, we have;

0 < c + w ≤ 20...(1)

8·c - 5·w = 13...(2)

Given that 5·w has either a 0 or 5 as the unit digit, and x3 = x8 - 5, such as 13 = 18 - 5, we have that the last digit of 8·c is 8, and the last digit of 5·w is 5

The products of 8 with '8' as the unit are, 8 × 6, 8 × 11, and 8 × 16

Therefore, when c = 6, and w = 7, we get;

8 × 6 - 5 × 7 = 13

The number of exercises Ben solved, c + w = 6 + 7 = 13 < 20

When c = 11, we get;

8 × 11 - 5 × 15 = 13

11 + 15 = 26 > 20

The number of exercises Ben solved = 13 exercises

14. A polygon ABCD is inscribed in a circle. Find angle ABC

15. A polygon GHIJ is inscribed in a circle if GHI=76 and HIJ=66 what is IJG

Answers

Answer:

m<ABC = 100degrees

m<IJG = 104degrees

Step-by-step explanation:

14. The sum of the opposite angle of the quadrilateral is 180degrees. Hence;

m<ADC + m<ABC = 180

3y+8+4y+4 = 180

7y + 12 = 180

7y = 180 - 12

7y = 168

y = 168/7

y = 24

Get <ABC

m<ABC  = 4y+4

m<ABC = 4(24) + 4

m<ABC = 96 + 4

m<ABC = 100degrees

15. Similarly for this;

GHI + IJG = 180

76 + m<IJG = 180

m<IJG = 180 - 76

m<IJG = 104degrees

EG is the angle bisector of

Answers

Answer:

the remaining angle will be 32

cz angle bisector cuts an angle in two equal parts hooe it may help u

If α and β are the zeroes of the polynomial ax^2 + bx + c, find the value of α^2 + β^2

Answers

Answer:

Step-by-step explanation:

α + β = -b/a

αβ = c/a

α² + β² = (α + β)² - 2αβ

           [tex]= (\frac{-b}{a})^{2}-2\frac{c}{a}\\\\= \frac{b^{2}}{a^{2}}-\frac{2c}{a}\\\\=\frac{b^{2}}{a^{2}}-\frac{2c*a}{a*a}\\\\=\frac{b^{2}-2ca}{a^{2}}[/tex]

consider the system of equations given below
Y=2/3x+2
Y=5/2x+7/2
which of the following is true about the solution set of the system?
A. The solution is a point on the x-axis.
B. The solution is all the points on the line y=2/3x+3.
C. The solution is a point in the coordinate plane.
D. The solution is the region in the coordinate plane above y=5/2x+7/2.

Answers

Answer:

its A or C

Step-by-step explanation:

please complete the table.

Answers

Answer:

my answer in this picture.......

please helpppp its due nowwwww

Answers

Answer:

Step-by-step explanation:

instead of (2x - 60 ) there should be (60 - 2x) because since they are parallel lines corresponding sides must be equal . It is contradictory because the size of the corresponding angles is different.

Note : Corresponding angles are the angles which are formed in matching corners or corresponding corners with the transversal when two parallel lines are intersected by any other line (i.e. the transversal).

A bag contains 26 letters and 10 numerals. Robin draws two cards from the
bag. What is the probability that she draws 2 numerals?

Answers

Answer:

10C2 / (36C2)

Step-by-step explanation:

First card = 10/36
Second card= 9/35
Probability that both numerals= 10/36 x 9/35
= 1 / 14

Which of the following is a geometric sequence?
O A. -2, 6, 14, 22, ...
O B. 6, 13, 19, 24, ...
O c. 11, 16, 21, 26, ...
O D. -3,3, -3, 3, ...

Answers

Answer:

O B. 6, 13, 19, 24,

Step-by-step explanation:

because this is the correct answer

The answer would be D as it’s the only one with a scale factor which is multiplying by -1

4,-7 -1,5 what’s the midpoint

Answers

Answer:

(4, 5) Midpoint

Step-by-step explanation:

Need- What is a midpoint of the line segment?

Solution:

Midpoint:  x,m , y,m =  ([tex]\frac{x {a +x b } }{2}[/tex]) ,( [tex]\frac{y, a + y b}{2}[/tex])=( [tex]\frac{0 +8 }{2}[/tex] ) , ( [tex]\frac{2 + 8 }{2}[/tex])    = [tex]\frac{8}{2} , \frac{10}{2}[/tex] Midpoint segment -  ([tex]x_{m} , y_{m}[/tex]) = (4,5)

Help pleaseeeeeeeeeeeeeeeeeeeeee

Answers

Answer: x= -7/8

Step-by-step explanation:

Hope it helps you

Which is equivalent to 80
?
80
4
V80*
O 809
80
o
what is equivalent to 80 1/4?

Answers

The answer is 4 square root 80

A bus completed a journey of 98 km in 140 minutes. Calculate the average speed, in kilometres per hour, for this journey.​

Answers

Answer:

hope you like it

Step-by-step explanation:

at first change minutes to hour and calculate by dividing 98 to specific hour

Speed=distance/time

-change time from minutes to hours:
140= 2hours 20= 2.333

Speed=98/2.333
= 42 km/h

I think?
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