Choose the correct simplification of the expression (3xy4)2(y2)3.

Answers

Answer 1

Answer: If you would like to solve (3xy^4)^2 * (y^2)^3, you can do this using the following steps:

(3xy^4)^2 * (y^2)^3 = 9x^2y^8 * y^6 = 9x^2y^14

The correct result would be 9x^2y^14.

Answer 2

Answer:

Answer:

9x2y14

Step-by-step explanation:

just took the test

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What are the solutions to the equation x^2-8x=24
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A physical fitness association is including the mile run in its secondary- school fitness test. The time for this event for boys in secondary school is known to possess a normal distribution with a mean of 440 seconds and a standard deviation of 50 seconds. Find the probability that a randomly selected boy in secondary school can run the mile in less than 325 seconds.

How to distribute this problem:
(x-8)^2 + 16

Answers

Answer:

We conclude that:

$\left(x-8\right)^2+16=x^2-16x+80$

Step-by-step explanation:

Given the equation

$\left(x-8\right)^2\:+\:16$

First, solve (x - 8)²

Apply Perfect Square formula: (a - b)² = a² - 2ab + b²

$a=x,\:\:b=8$

$\left(x-8\right)^2=x^2-2x\cdot \:\:8+8^2$

$=x^2-16x+64$

so the expression becomes

$\left(x-8\right)^2+16=x^2-16x+64+16$

$=x^2-16x+80$ Add the numbers: 64+16=80

Therefore, we conclude that:

$\left(x-8\right)^2+16=x^2-16x+80$

(I SCREENSHOT THE WHOLE THING. PLS PLS HELP D: )

Answers

This is a little bit weird, but it's not hard if you just
do it one step at a time.

Here's the important part that you need to know
in order to solve this problem:

    All four sides of a square are equal.

Got that ?   Good.
Here we go.

-- First, take the left and right sides.
   They must be equal, so

   2y - 5 = y - 1

Add 5 to each side:    2y   = y + 4

Subtract 'y' from each side:    y = 4 .

The left side is y-1 = 3

The right side is     2y-5 = 2(4) - 5
          = 8 - 5
          =    3 .

Good ! We have the left and right sides equal.
Do we really need to do the other two sides ?
They told us it's a square, so can't we just say
   the top and bottom are also 3 ?
Well, maybe. But maybe they're trying to trick us,
   and the top and bottom aren't really 3 . I think
   we ought to check it out. It's more good math practice.

-- Take the bottom side ... it's 3y-9 .

But you know what 'y' is !
We just calculated that y=4,
so
   3y - 9 = 3(4) - 9 = 12 - 9 = 3 .

Great ! The bottom side is 3 .

Create a quadratic polynomial function f(x) and a linear binomial in the form (x − a).Show all work using long division to divide your polynomial by the binomial.

Answers

x - a is divisor of f(x) if and only if f(a) = 0

f(x) = x^2 -1

linear binomial: x + 1

(x^2 - 1)/(x + 1) = (x + 1)(x - 1)/(x + 1) = x - 1
hence is a divisor

f(1) = 0
so it corroborates the reminder theorem

Any ratio can be written as a decimal, fraction, or percent.

True False

Answers

True is the answer...

The answer is TRUE. This is so because it can be multiplied by 10, even with a remaining decimal.

How to find the area of the 45-45-90 triangle with a hypotenuse of 24?

Answers

The area of a triangle is 1/2(base x height) .

The two legs of this triangle are equal. If you position it properly,
one of them is the base, and the other one is the height.

Since it's a right triangle, A² + B² = C²

But A = B and C = 24 .

2A² = (24)²

A² = (24)² / 2

But since A=B, A² is also (base x height) of the triangle.
Area is just 1/2 of it.

Area = 1/2(24²/2) = (24)²/4 = (24/2)² = (12)² = 144 .

$45^o-45^o-90^o\ triangle\ is\ a\ half\ of\ the\ square\ (look\ at\ he\ picture).\n\nThe\ square\ is\ a\ rhombus\nthen\ area\ equal\ the\ half\ of\ multiply\ diameters:\n\nA_{\fbox{}}=(d^2)/(2)\n\nA_\Delta=(1)/(2)A_{\fbox{}}\Rightarrow A_\Delta=(1)/(2)\cdot(d^2)/(2)=(d^2)/(4)\Rightarrow A_\Delta=(24^2)/(4)=(576)/(4)=144.$

Laura’s credit card has an APR of 12.04%, and it computes finance charges using the daily balance method and a 30-day billing cycle. On June 1st, Laura had a balance of $606.40. She made exactly one transaction in June: a payment of $55.25. If Laura’s finance charge for June was $5.71, on which day did she make the payment?

Answers

Finance charge is equal to:
daily balance*A*P*R*billing cycle/365
db 0.1204 30/365 = 5.71
db = 577.01 (I am rounding every answer, and keeping the number in my calculator, things won't work out exactly if you calculate using my numbers)Manipulate the formula for mean:
average = total/amount
577.01 = total/30
total over 30 days = 17,310.22Set up an equation with our information:
606.40x + 55.25(30-x) = 17,310.22
551.15x = 16,652.72
x = 28.4

The balance was $606.40 for 28 days, so she paid on the 29th.

Answer:

C: June 15th

Step-by-step explanation:

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