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gtnhenbr [62]
3 years ago
9

Prove that (81/16)^-3/4 ×[(25/9)^-3/2 ÷ (5/2)^-3]=1​

Mathematics
1 answer:
andreev551 [17]3 years ago
8 0

Answer:

First write them in positive exponent form

(16/81)¾ × [ (9/25)^3/2 ÷ (2/5)³ ]

(2⁴×¾)/ (3⁴×¾) × [ (3² × ^3/2) / (5² ×^3/2) ÷ 2³/5³)

Simplify the terms

2³/3³ × ( 3³ / 5³ ÷ 2³/5³)

Solve the terms in the bracket

2³/3³ × (3³/5³×5³/2³)

You will get

2³/3³ × 3³/2³ = 1

They will cancel each other so the answer will be 1

Hope this helps.

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Determine the equatiln of the graph and select the correct answer below. <br><br>​
olga_2 [115]

Answer:

C

Step-by-step explanation:

okay, this is actually pretty easy because it just works with simple translations.

(x+a)^2 + b

if a is positive, the graph shifts left

if a is negative, the graph shifts right

if b is positive, the graph shifts up

if b is negative, the graph shifts down

so since the quadratic, is starts at the origin and is shift 3 to the left, and 2 up:

the equation is

(x+3)^2 + 2

7 0
3 years ago
Walker is reading a book that is 792 pages. He reads 15 pages a day during the week, and 25 pages a day during the weekend. Afte
liubo4ka [24]

Answer:

167 Pages Left To Read

Step-by-step explanation:

15*5=75

75*5=375

375+ 25*10=625

792-625=167

8 0
3 years ago
A 12 inch candle and an 18 inch Candle are lit at 6 p.m. The 12 inch candle burns 0.5 inches every hour. The 18 inch candle burn
Stella [2.4K]
18 - 2H = 12 - .5H
Combine the variables
18 - 2H + .5H = 12 - .5H + .5H
18 - 1.5H = 12
Combine the whole numbers
18 - 18 - 1.5H = 12 - 18
-1.5H = -6
Divide by -1.5
-1.5H/-1.5 = -6 / -1.5
H = 4
The answer is 4 hours
7 0
3 years ago
the members of the band are selling raffle tickets.if their goal is to raise at least $950,the number of tickets they must sell
Diano4ka-milaya [45]

140 is the solution of the inequality

Step-by-step explanation:

The inequalities are used just like equations.

Given

Total amount to be raised = $950

Price of one ticket = $2.50

The inequality that represents the situation is:

2.50x≥950

Dividing both sides by 2.50

\frac{2.50x}{2.50} \geq \frac{950}{2.50}\\x\geq 140

140 is the solution of the inequality

Keywords: Inequality, cost

Learn more about inequalities at:

  • brainly.com/question/13219835
  • brainly.com/question/1836777

#LearnwithBrainly

3 0
3 years ago
Calculate<br>a) 20% of £150<br>b) 15% of 80 kg<br>c) 85% of 2500 m​
kotykmax [81]

Answer:

A) 30

B) 12 kg

C) 2,125 m

Step-by-step explanation:

8 0
3 years ago
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