MATHEMATICS HIGH SCHOOL

Practice simplifying rational expressions with negative exponents.

Answers

Answer 1

Answer:

Answer:

Part 1:- option first is correct

$-(1)/(2)ab^(12)$

Part 1:- option third is correct

$(w^(10))/(3y^(4))$

Step-by-step explanation:

Given:

The given ration expressions are.

1. $(-2a^(2)b^(4))/(4ab^(-8))$

2. $(-5w^(4)y^(-2))/(-15w^(-6)y^(2))$

We need to simplify the given expressions.

Solution:

Part 1:-

Given expression is

$=(-2a^(2)b^(4))/(4ab^(-8))$

Using law of exponents $(x^(m) )/(x^(n) ) = x^((m-n))$

$=-(a^(2-1)b^(4-(-8)))/(2)$

$=-(a^(1)b^(4+8))/(2)$

$=-(ab^(12))/(2)$

$=-(1)/(2)ab^(12)$

Therefore, option first $-(1)/(2)ab^(12)$ is correct.

Part 2:-

Given expression is.

$=(-5w^(4)y^(-2))/(-15w^(-6)y^(2))$

Using law of exponents $(x^(m) )/(x^(n) ) = x^((m-n))$

$=(w^(4-(-6))y^(-2-2))/(3)$

$=(w^(4+6)y^(-4))/(3)$

$=(w^(10)y^(-4))/(3)$

$=(w^(10))/(3y^(4))$

Therefore, third option $(w^(10))/(3y^(4))$ is correct.

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How to do do this question I don't know how to do

Answers

Hello,

Let denote
h the number of men in the concert hall (before leaving)
f the number of women in the concert hall (before leaving)

1/5 h quit =60/2
15/100 f =60/2

h=30*5=150
f=30*100/15=200

Tey were 150+200 = 350 humans in the hall.
(why h : homme, f:femme you may call m and w)

Write the equation of each line in the indicated form 1. Standard form. Slope=8/3;(-2,0)

2. Point-slope form (-5,6) and(3,-10)

Answers

1. standard form is y=mx+b so I will use point slope to start
y-0=8/3(x+2), y=(8/3)x+(16/3)
2.Must solve for slope first, (y2-y1)/(x2-x1), -10--5/3-6= -5/-3= 5/3
so slope is 5/3, point slope is y-y1=m(x-x1), y-6=5/3(x+5)

1.Calculate the amount of heat produced in an electric heater of resistance 1000 ohms if 6A of current is passed through it for 10 minutes.. 2.400J of heat is produced in 4s in a 4 ohm resistor.Find potential difference across the resistor.. 3. Calculate the power of a source if it produces an energy of 750J in 30s.. 4. Which uses more energy , a 500W TV set in 1 hour or a 1200W toaster in 10 minutes.. 5. Calculate the electrical energy consumed by a 1200W toaster in 10 minutes..

Answers

Power is determined through multiplying the square of the current, resistance and time. it is also determined by dividing energy by time

1. P = I^2 Rt = 6^2*1000*10*60 = 21. 6 MW
2. P = 4000 J/4s = 1000 W
3. P = 750 J/ 30 s = 25 W
4. P = 500 J/3600s = 0.139 W ; P = 1200J/10/60s = 2 W ; toaster needs more power
5. P = 1200 J/ 600s= 2 W

1.. If a golfer’s score of 4 under par is represented by –4 on a number line, then how would a golfers score of 4 over par best be represented? a +4
b 0
c –4
d +8

2. The Salton Sink in California is approximately 215 feet below sea level. Which of the following best describes the location of the Salton Sink as it relates to sea level?

a –215
b 0
c +215
d +2150

Answers

We need to find the best way to represent the numbers.

The score will be best represented by $+4$

The depth of the Salton Sink will be best described as $-215$ .

$4$ under par means that it took $4$ less strokes than the par of the course to complete the course.

This represented by $-4$

The negative sign comes first.

If the score is $4$ over par then it took $4$ more strikes than the par of the course.

This score will be best represented by $+4$

Let, us take the surface sea level as $0$ .

So, the depth below the sea level will be negative and above it will be positive.

Hence, the depth of the Salton Sink will be best described as $-215$ .

Learn more:

brainly.com/question/11332842

brainly.com/question/5245256

This is a bit of a guess, but I think probably a) +4 and also a) -215

Perform the indicated operations and express answers in simplest form.

3/x + 2/y - 4/xy

Answers

This will reqiure cross multiplication. We multiply by crossing the denominators and numerators. This is the solution : -

3/x + 2/y - 4/xy

= 3y+2x/xy - 4/xy                 (xy is common denominator)

=          3xy + 2x - 4
                  xy

Round each addend to the nearest whole number and estimate the sum.19.43 + 11.5 + 3.08

36
35
34
33

Answers

The required estimation is 34 that the given number by rounding each addend to the nearest whole number.

What is the number system?

A number system is defined as a way to represent numbers on the number line using a set of symbols and approaches. These symbols, which are known as digits, are numbered 0 through 9

The sum is given in the question:

19.43 + 11.5 + 3.08

We have to estimate the given number by rounding each addend to the nearest whole number.

According to the given condition, the required solution would be as:

⇒ 19.43 = 19 nearest whole number

⇒ 11.5 = 12 nearest whole number

⇒ 3.08 = 3 nearest whole number

⇒ 19 + 12 + 3 = 34

This is the estimated whole number sum.

Therefore, the correct answer would be an option (C).

Learn more about the number system here:

brainly.com/question/21751836

#SPJ5

Round each addend to the nearest whole number and estimate the sum.19.43 + 11.5 + 3.08
=> 19.43 = 19 nearest whole number
=> 11.5 = 12 Nearest whole number
=> 3.08 = 3 nearest whole number
=> 19 + 12 + 3 = 34 is the estimated whole number sum.

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