MATHEMATICS HIGH SCHOOL

Is the expression 3×3⁶ equivalent to (3×3)⁶?

Answers

Answer 1

Answer:

Answer:

No the expression 3×3⁶ equivalent to (3×3)⁶.

Step-by-step explanation:

The order of operations matters, and exponentiation takes precedence over multiplication.

1. 3×3⁶ means 3 multiplied by 3 to the power of 6:

3×3⁶ = 3×(3⁶) = 3×729 = 2187

2. (3×3)⁶ means first multiplying 3 by 3 and then raising the result to the power of 6:

(3×3)⁶ = 9⁶ = 531441

So, these two expressions are not the same. The first one, 3×3⁶, is 2187, and the second one, (3×3)⁶, is 531441.

4 lines of reflection.

Step-by-step explanation:

The complete problem states:

Square ABCD and square EFGH share a common center on a coordinate plane. EH is parallel to diagonal AC. Across how many lines of reflection can the combined figure reflect onto itself?

Basically, all diagonals work as lines of reflection of the figure, because we have squares which are complete symmetrical, and their diagonals always divide them in halves, creating a reflection.

So, the first two lines of reflection are the diagonals of the big square AC and BD. Due to square EFGH share a common center and EH is parallel to diagonal AC, bigger diagonals divide its side equally, creating reflections.

Also, based on the parallelism given, the diagonals of the small square will divide in half the sides of the big square, if we prolong them. So, there we have two more lines that create reflections.

In sum, there are 4 lines of the figure combined that reflect onto itself.

Square ABCD and square EFGH will reflect onto themselves across 8 lines of reflection

The amount of money that the borrower receives at the time a discounted note is made is known as the

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It's the proceeds that are widely considered as the actual amount of money made that the borrower receives. Note that it's considered as that once the discounted note as been calculated and provided to the client who borrowed the money, too.

Polynomials - Put in descending order in terms of x:12x²y³ - 6x³y² + 3y - 2x

Must answer correctly and thoroughly to get Brainliest Answer and points.
Thank you! :D

Answers

-6x^3y^2 + 12x^2y^3 - 2x + 3y is the answer. what the question is asking for you to do is rewrite the polynomial in order with the first group being the x with the largest exponent and the last being the group with the smallest exponent. the first 3 are easy to see bc the exponents go from 3 to 2 to 1. the last one however does not have a visual x component which makes it somewhat more complicated. the last group can be rewritten as 3yx^0 bc any number to the zero power is 1. this means that the last group has an x to the power of zero, thus putting it last in descending order

Solve by multiplication and addition. Show each step of your work. 4x – 3y = 11
3x + y = 18

Answers

basically eliminate
try eliminate y's
multiply second equaiton by 3
9x+3y=54

add to other equation
4x-3y=11
9x+3y=54 +
13x+0y=65

13x=65
divide 13 both sides
x=5

sub back
3x+y=18
3*5+y=18
15+y=18
minus 15
y=3

x=5
y=3
(5,3)

A twons populations is 43,425. About 125 people move out of the town each month, 200 people on the average move into town. A nearby town has population of 45,000. it has no one moving in and an average of 150 people moving away every month. In about how many months will the population of the towns be equal? Write an equation that represents this situation and solve.

Answers

Answer:

After 7 months months the population of both the town will be equal.

Step-by-step explanation:

Let's assume, the population of both towns will be equal after x number of months.

Every month 125 people move out of the town and 200 people move into the town, where already 43,425 people are living. So, the population of the former town after x months is,

Every month 150 people move out of the town, where already 45,000 people are living. So, the population of the latter town after x months is,

when the population of both of the towns are same,then

What is the domain, range, and function of y=absolute value of x-3 +2i put the domain as 3 and the range as 2 and the function as yes