Is this transformation rigid or non-rigid?

Explanation:

So 552 digits are used to number the pages of a book consecutively from page one. How many pages are there in the book?

1 to 9 = 9 digits

10 to 99 = 2*90 = 180 digits

So, 1 to 99 uses 189 digits.

552 - 189 = 363

3 digits per page = 363/3 = 121 pages starting at page 100.

Page 100 to 220 is 121 pages

220 pages in total

I hope this is logic is right - you might want a second opinion, too.

The number of the pages in the book which has a number from 1 to 552 digits will be 220.

Algebra is the study of mathematical symbols and the rule involves manipulating these mathematical symbols.

To number a book from 1 up to its last page took 552 digits.

Then the number of pages in the book will be

1 to 9 there are 9 digits.

From 10 to 99, the number of digits will be

2 × 90 = 180

10 to 99 there are 180 digits.

From 1 to 99, there are 189 digits.

Then the remaining digits will be

552 – 189 = 363

Three digits per page will be

363/3 = 121

Page starting at hundred.

Then the total number of pages will be

120 + 100 = 220

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Answer: (-6,0)

Step-by-step explanation:

Hope this helps!

Answer:

243

Step-by-step explanation:

If you are multiplying by 3 for the next number in the sequence, you would need to do 81 x 3 which is 243.

Answer:

243

Step-by-step explanation:

If you are multiplying by 3 for the next number in the sequence, you would need to do 81 x 3 which is 243.

Answer:

500 dollars spend by john

Answer:

G

E

F

H

Step-by-step explanation:

I don't know what the parent function is. you did not specify that.

I guess it is f(x) = x² ?

anyway, x² is the prime example of a parabola, which simply opens upward and has the vertex (its minimum) at 0, 0.

now, g(x) is first of all multiplying this by -1.

that turns the original curve upside-down.

therefore, g(x) opens downward, and it has a maximum.

because of the mentioned upside-down action, this is a reflection across the x-axis.

the multiplication by 1/4 actually decreases the functional values compared to the basic x² curve, so the curve is below the x² curve and that means it stretches the original curve.

Answer:

The complex number is B, [tex]3\sqrt{\frac{7}{5}}+\sqrt{-\frac{9}{5}}[/tex]

Step-by-step explanation:

A complex number should be written in the form [tex]a+bi[/tex], where a and b are real numbers, and i is an imaginary number.

Recall that [tex]\sqrt{-1}=i[/tex]. Since letter B has the second term [tex]\sqrt{-\frac{9}{5}}[/tex], we can say

[tex]\sqrt{-\frac{9}{5}}=\sqrt{-1\cdot\frac{9}{5}}=i\sqrt{\frac{9}{5}}[/tex]

Therefore, the number can be written as

[tex]3\sqrt{\frac{7}{5}}+i\sqrt{\frac{9}{5}}[/tex].

By using division operation we can conclude that the model for 2/3 ÷ 2 = 0.3333333335.

What is division?

Division is an arithmetic operation that involves splitting a quantity or number into equal parts. It is the process of finding how many times one quantity is contained within another quantity.

To solve the problem 2/3 ÷ 2, we can use the division operation of arithmetic. However, since this is a simple calculation, there is no need to use a complex model or tool.

Here are the steps to solve the problem:

Divide 2 by 3:

2 ÷ 3 = 0.666666667 (rounded to nine decimal places)

Divide the result from step 1 by 2:

0.666666667 ÷ 2 = 0.3333333335 (rounded to ten decimal places)

Therefore, 2/3 ÷ 2 = 0.3333333335.

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Answer:

Step-by-step explanation:

Answer: View the picture below!

Step-by-step explanation: Just did it!

Answer:

q=9 or q=−6

Step-by-step explanation:

Answer: $10.08

2 pounds of hamburger would equal $8.96.

1/4 of 4.48 is $1.12.

Add $8.96 and $1.12 is $10.08

Answer:

the opposite of 0.1 would be -0.1

the opposite of 1/7 would be 7

the opposite of 10 would be -10

the opposite of -7 would be 7

Answer:

to find the value of x, bring the variable to the leftside and bring all the remaining values to the right side

Step-by-step explanation:

Thank me later

Answer:

x=22

Step-by-step explanation:

(5x+4)+44+x = 180. reason [being co-interior angle)

48+6x = 180

6x = 132

x=22

Answer:

y=-3x-1

Step-by-step explanation:

Answer:

First linear equattion is equation with two variables and its formlla is y=mx+b . Where y and x are variables and m is the slope . And b is rhe y intercept means the value which get from the value of x is 0. and x intercept is the value when y is 0

[tex]\qquad \qquad\huge \underline{\boxed{\sf Answer}}[/tex]

The Triangles congruent by SAS criteria are the ones in choice B

where the two sides are given equal, one side is common in there and they have a right angle between the mentioned two sides.

So, it makes it more reasonable

Hope you understood ~ ask me if there's any doubt or more questions !

Answer:

49

Step-by-step explanation:

Please check the photo.

The exact form is 3/4

Decimal form is 1.5

And mixed number form is 1 1/2

Step-by-step explanation:

Answer:

√21

Step-by-step explanation:

2^2+b^2=5^2

4+b^2=25

b^2=21

√ b^2=√ 21

calculate the value of 2a+3b if a=1 and b=2​

= 2 * 1 + 3 * 2

= 2 + 6

= 8

* = multiply by

2a = 2 * a

and 3b = 3 * b

Answer: x = 16 or if it is x+2/3 (two thirds), then 5 1/3

Step-by-step explanation: 16+2 divided by 3 = 6. 5 1/3 + 2/3 = 6.

Answer:

5 1/3

Step-by-step explanation:

Step 1:

6 = x + 2/3        Equation

Step 2:

6 - 2/3 = x       Subtract 2/3 on both sides

Answer:

5 1/3 = x          Subtract

Hope This Helps :)

Answer:

Answer:

-2 1/4

Step-by-step explanation:

The area A of polygon ABCDEFG with the given vertices is 10 square units

The vertices are given as

A(0,5), B(2,5), C(2,3), D(3,2), E(1,2), F(0,3), G(−4,3)

The area of the polygon is calculated using

Area = 1/2 * |(x1y2 -x2y1) +(x2y3 -x3y2) + ..... + (xny -xyn)|

So, we have

Area = 1/2 * |(0 * 5 - 5 * 2) + (2 * 3 - 5 * 2) + (2 * 2 - 3 * 3) + (3 * 2 - 2 * 1) + (1 * 3 - 2 * 0) + (0 * 3 - 3 * -4) +(-4 * 5 - 3 * 0)|

Evaluate the sum of products

So, we have

Area = 1/2 * |-20|

Remove the absolute bracket

So, we have

Area = 1/2 * 20

Evaluate the products

So, we have

Area = 10

Hence, the area A of polygon ABCDEFG with the given vertices is 10 square units

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Answer:

C          -4,-3

Step-by-step explanation:

for PLATO

The range is given as [tex]\rm \left\{y|y \ \epsilon \ R,y\neq -4,-3 \right\}[/tex]. Then the correct option is C.

The domain means all the possible values of x and the range means all the possible values of y.

The range of the function will be

The range will be a real number, but Exclude the line x = -3 and circle point on the graph at (5, -4)

Then the range is given as

[tex]\rm \left\{y|y \ \epsilon \ R,y\neq -4,-3 \right\}[/tex]

Then the correct option is C.

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Answer:

3⁶

9³

Step-by-step explanation:

We know that,

⇒ [tex]a^{x} *a^{y} =a^{(x+y)}\\[/tex]

⇒ [tex]\frac{a^x}{a^y} =a^{(x-y)}[/tex]

⇒ [tex](a^x)^y=a^x^y[/tex]

Let us solve it now.

3⁴ × 3²

3 ⁽ ⁴ ⁺ ² ⁾

3⁶ ⇒ 729

And let us find the value of each expression which are given as answers and find the expressions which are equivalent to 729 ( 3⁶ ).

Solution:

We know that:

Rereading the phrase carefully.

Expression formed: 6 + 15/3

The least number of tickets each person needs to buy to meet that goal of volleyball team is 3 tickets.

The algebraic expression are used to represent the general problem in the mathematical way to solve them to find the value of unknown variable.

Let suppose the number of tickets sold are n. As the volleyball team is selling raffle tickets for $1.50 each and the total fund raised by selling the ticket is $250.

Thus, the number of tickets sold are,

[tex]n=\dfrac{250}{1.5}\\n\approx167[/tex]

Now everyone buys the same number of tickets and there are 75 people at the fundraiser. Thus, the number of tickets purchased by each fundraiser is,

[tex]x=\dfrac{167}{75}\\x=2.23[/tex]

The number of tickets should be more than 2.23 buy by each people to earn the profit at least or more than $250.

Hence, the least number of tickets each person needs to buy to meet that goal of volleyball team is 3 tickets.

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Answer: 9x+18

Step-by-step explanation: