find hundred 2 raise to 3 using suitable identity​

Answers

Answer 1

Answer:

102^3 = (100+2)^3

= (100^3)+(2^3)+{3*(100^2)*2}+(3*100*

{2^2})

= 1000000+8+60000+1200

= 1061208


Related Questions

Express your answer as a polynomial in standard form. f(x)= f(x)= \,\,3x^2+6x+5 3x 2 +6x+5 g(x)= g(x)= \,\,-x+3 −x+3 \text{Find: }f(g(x)) Find: f(g(x))

Answers

The value of f(g(x)) is,  [tex]f(g(x))=3x^{2} -24x+50[/tex]

Composition of function:

The given function are,

             [tex]f(x)=3x^{2} +6x+5\\\\g(x)=-x+3[/tex]

We have to find [tex]f(g(x))[/tex].

             [tex]f(g(x))=f(-x+3)=3(-x+3)^{2}+6(-x+3)+5\\ \\f(g(x))=3(x^{2} +9-6x)-6x+18+5\\\\f(g(x))=3x^{2} +27-18x-6x+23\\\\f(g(x))=3x^{2} -24x+50[/tex]

Thus, the value of [tex]f(g(x))=3x^{2} -24x+50[/tex]

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why did the chicken cross the road

Answers

Answer:

To get to the other side

Obviously

Answer:

"To get to the other side".

What is even the point of that "joke"?:

"Why did the chicken cross the road?" is a common riddle joke, with the answer being "To get to the other side". It is an example of anti-humor, in that the curious setup of the joke leads the listener to expect a traditional punchline, but they are instead given a simple statement of fact.

19. The midpoint of JK is M(0, 1). One endpoint is /(-6, 3). Find the coordinates of
endpoint K. (Section 1.3)

Answers

Answer:

(6,-1)

Step-by-step explanation:

let coordinates of K be (x,y) then

[tex]0=\frac{-6+x}{2}\\or~-6+x=0\\x=6\\1=\frac{3+y}{2}\\y+3=2\\y=2-3=-1\\so ~K~is ~(6,-1)[/tex]

The coordinates of endpoint K will be (6,-1).

What is coordinate geometry?

A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. The midpoint of a line segment is known as the midpoint in geometry. It is the centroid of the segment and of the ends, and it is equally distant from both of them. It cuts the section in half.

Given that the midpoint of JK is M(0, 1). One endpoint is (-6, 3). The other end will be calculated as below:-

0 = ( -6 + x ) / 2

-6 + x = 0

x = 6

The value of the y coordinate will be calculated as below:-

y = 2 - 3 = -1

Therefore, the coordinates of endpoint K will be (6,-1).

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During the summer, the height of the water in the pool decreased by 5 inches each week due to evaporation. What is the change in the height of the water over an 8 week period?

Answers

Answer:

40 inches

Step-by-step explanation:

We know that the height of water in a pool decreased 5 inches per week.

This means that we can form the equation [tex]y=-5x[/tex], since the amount of water remaining is proportionate to the amount of weeks that have passed.

We know [tex]x=8[/tex], since we need to find the change for 8 weeks.

[tex]y = -5\cdot 8[/tex]

[tex]-5 \cdot 8 = -40[/tex]

[tex]y=-40[/tex]

The change will be the absolute value of -40, which just makes it positive, so 40.

Hope this helped!

Answer:

40 inches evaporated

Step-by-step explanation:

5 in / week

Multiply 5 in by 8 wks

= 40 inches of water evaporated over 8 wks

Max has 40 fruits consisting of Apples, Mangos, and Peaches. Max has 5 more Apples than Mangos. He also
has four times as many Apples as Peaches. How many Apples does Max have?

Answers

Answer:7.5 apples

Step-by-step explanation:

Let the number of mangoes be represented by m

Max has 5 more Apples than Mangos.

Therefore apples = m + 5

Max has four times as many Apples as Peaches. Therefore, peaches = 4(m+5) = 4m + 20

Mangoes = m

Apples = m+5

Peaches = 4m+20

Mangoes + Apples + Peaches = 40

m + m+5 + 4m+ 20 = 40

6m+25 = 40

6m = 40 - 25

6m = 15

m = 15/6

m = 2.5

Apples = m+5 = 2.5 + 5 = 7.5

Max has 7.5 apples

what is the slope of a line if the equation is y=7x -5

Answers

Answer:

7

Step-by-step explanation:

The standard form is y=mx + b where your m value is the slope and your b value is the y-intercept.

So in your case, 7 is your m value therefore 7 being your slope

Hii!

__________________________________________________________

Answer:

Slope is 7! ^^

Step-by-step explanation:

Note that the equation of the line is given to us in slope intercept, y=mx+c.

m=slope | c=y intercept.

The slope intercept formula is

y=mx+c.

The equation this question provided us is.

y=7x-5

Slope=7

--

Hope that this helped! Best wishes.

--

WILL GIVE BRAINLIST TO FIRST ANSWERER!!!!
Write the equation of each line in slope-intercept form ​

Answers

Answer:

y=-2/3 x +2

y=-x+2

Step-by-step explanation:

slope intercept form : y=mx+b

first find the slope :

two points from the graph : (0,2) (3,0)

y=b=2 when x=0 y = the constant b

m=(y2-y1)/(x2-x1)

m=0-2/3-0

m=-2/3

y=-2/3 x +2

question 26: two points from graph: (0,2),(1,1)

b=2 ( when x=0, y=b=2)

m=1-2/1-0

m=-1

y= - x+2

5+5=
9+3=
20+15=
25+38=

Answers

I think it’s
=10
=12
=35
=63
5+5=10

9+3=12

20+15=35

25+38=63

Use estimation to determine the product of 15.4 and 5.7

Answers

Answer:

about 90

Step-by-step explanation:

15.4 rounds down to 15

5.7 rounds up to 6

15 × 6 = 90

Given f(x) = 2x + 1, find the range value if the domain value is 1.75.

Answers

Given:

The function is

[tex]f(x)=2x+1[/tex]

To find:

The range value if the domain value is 1.75.

Solution:

Domain is the set of input values and range is the set of output values.

Here, range value if the domain value is 1.75. It means the value of function f(x) at x=1.75.

Substitute x=1.75 in the given function.

[tex]f(1.75)=2(1.75)+1[/tex]

[tex]f(1.75)=3.5+1[/tex]

[tex]f(1.75)=4.5[/tex]

Therefore, the required range value is 4.5.

Solve.
2(7y - 5) = 4

Answers

Answer:

y=1

Step-by-step explanation

So basically 2 *7y is 14y and 2*5 equals 10

bring the 10 to the 4 and you have 14y=14

y=1

14y-10=4
+10 +10
14y= 14
Y=1

Plrase help ya'll I am going to rip my hair out i'm overthinking

Answers

Answer: 31

Step-by-step explanation:

add the 2 lengths of the given parts.

Answer:

jk+kl=kl

15+16=31

mark it as brainliest!!!


Which expression represents the perimeter of the rectangle above?
6x + 3
10x + 6
8x2 + 6x
12x + 6

Answers

Answer:

12x+6

Step-by-step explanation:

(4x+3)+(4x+3)+(2x)+(2x)

4+4+2+2=12, 3+3=6

12x+6

simplify 12-15÷3-3 pwease

Answers

Answer: -6

Step-by-step explanation: mark me as brainliest if i helped

The value of the expression is 4.

We have,

Expression:

12 - 15 ÷ 3 - 3

Now,

Apply PEMDAS.

Divide 15 by 3.

12 - 15/3 - 3

[ 3 x 5 = 15]

So,

12 - 5 - 3

12 - (5 + 3)

12 - 8

4

Thus,

The value of the expression is 4.

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Cesar has read 89 pages of a book for his
English class. If the book has 257 pages and
he can read 21 pages per hour, how many
hours will it take Cesar to finish the book?
a. 168
b. 8
C. 12
d. 5

Answers

Answer:

X=8

Step-by-step explanation:

First subtract the read pages with the unread pages which is 168.

Then let 21 pages = to one hour then 168pages(the remaining pages) = x then cross multiply and divide then your answer will be 8

Checar would take 8 hours to finish his book

what is each side of the square?

Answers

Answer:

S = 14.14

Step-by-step explanation:

The area of a square is S*S or S^2.

So, if we know that the area of the square patio is 200, we can say that

S^2 = 200.

S = sqrt(200)

S = 14.14 ft.

Yes what she said period

A rectangle is 28 centimeters long and 9 centimeters wide.
What is the perimeter of this rectangle?
37 cm
0 56 cm
O 65 cm
O 74 cm
N

Answers

Answer:

74

Step-by-step explanation:

2(28x9)

74 is the perimeter

2n/5=10, what is the value of 2n-1

Answers

Answer:

49

Step-by-step explanation:

First, multiply 5 on both sides:

2n = 50

Then, we divide 2 on both sides:

n = 25

Now we got the value of n, let's calculate 2n - 1.

First, multiply 2 by n so we can get 2n:

2 * 25 = 50

Then, we calculate 50 - 1:

We got 49, and that's the answer ^^

Hope this helps!

The value of 2n-1 is 49 if 2n/5=10, after applying the concept of a linear equation and the value of n is 25.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

2n/5 = 10

2n = 50

n = 25

Plug the value of n in the expression 2n - 1

= 2(25) - 1

= 49

Thus, the value of 2n-1 is 49.

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Find the difference quotient and simplify the answer. g(x) = 3x - 1 ​

Answers

Answer:

Consider the difference quotient formula.

f(x+h)−f(x) / h

Find the components of the definition.

g(x+h)=3h+3x−1

g(x)=3x−1

Plug in the components.

g(x+h)−gx / h = 3h+3x−1−(3x−1) / h

Simplify = 3

please answer this I really need it!

Answers

Answer: 4/49 m^2

Step-by-step explanation:

Multiply

2/7 x 2/7 = 4/49

Answer: 4/49 m^2

Step-by-step explanation:

Area of a square = side X side

Side is 2/7

So, Area = (2/7)*(2/7) = 4/49 m^2

M(x)=x^2-3x
N(x)=x-5

MN(-1)= ?

A.18
B.-20
C.-22
D. -24

Answers

Answer:

d. -24

Step-by-step explanation:

M(-1)=(-1)^2-3(-1)

M(-1)=1+3

M(-1)=4

N(-1)=-1-5

N(-1)=-6

MN(-1)=(4)(-6)

MN(-1)=-24

Shellys old living room had a length that was twice its width. When she moved, her new living room was 2 feet longer and 4 feet wider that her old one. If w represents the width of her old living room write the expression used to represent the difference in the area of her old living room and her new living room.

Answers

Answer:

10w+6 is the difference between the two areas

Step-by-step explanation:

for the old room:

l=2w

wich mean

 Area_old=l*w=2w*w=2w²

for the new room:

L=l+2 since l=2w => L=2w+2

W=w+4

so

Area_new=L*W=(w+4)*(2w+2)= 2w² +10w+6

the difference is :

Area_new - Area_old= 10w+6

4x+12y+4z=-16 12x-12y+8z=8 4x+12y-4z=0 ​

Answers

I try my best I will be adding other people to help you

What is the measure of angle A?

Answers

Answer:

A = 29

Step-by-step explanation:

a triangle is equal to 180 so the bottom triangle you add 34 + 26 = 60 --> 180-60 = 120  ---> the triangle on top is 120 + 31 = 151 -----> 180-151 = 29

Translate each question.
Four times the difference of a number and 7 is 32

Answers

“Four times the difference of a number and 7 is 32”
Translation-
4(x-7)=32

Enter the decimal 1.18 as an improper fraction in simplest form.

Answers

Answer:

59/50

Step-by-step explanation:

118/100 divided by 2/2

=59/50

TWO QUESTIONS !! GEOMETRY

Answers

question 3 the answer is y= x+1 and the answer to question 4 is -2/5

Answer:

1) y= 1x +1

2) -2/5

Step-by-step explanation:

5 + 1/ 4 + 2 = slope of 1

y-5 = 1(x-4) solve for y

y = 1x + 1

[ 28 - (16 + 3) ] ÷ 3

Answers

Answer:

3

Step-by-step explanation:

By order of PEMDAS, perform math within parentheses first.

[tex](28 - 19) \div 3[/tex]

Continue with PEMDAS

[tex](9) \div 3[/tex]

Now, simply divide

[tex]9 \div 3 = 3[/tex]

It’s 3 for that question, here’s the picture

Use the ALEKS calculator to find 48% of 70. Do not round your answer.

Answers

Answer:

its 28

Step-by-step explanation:

hope this helps also u have to divide 70 divided by 48% in order to get 28

Solve for x. 6x+11=3x-10

Answers

subtract 3x from both sides
3x + 11 = -10
subtract 11 from both sides
3x = -1
divide both sides by 3
x = -1/3
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