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scoray [572]
2 years ago
7

Which expression is equivalent to (StartFraction 125 squared Over 125 Superscript four-thirds Baseline EndFraction? StartFractio

n 1 Over 25 EndFraction One-tenth 10 25
Mathematics
1 answer:
stealth61 [152]2 years ago
5 0

Answer:

\frac{125^2}{125^\frac{4}{3}} = 25

Step-by-step explanation:

Given

\frac{125^2}{125^\frac{4}{3}}

Required

Find an equivalent expression

\frac{125^2}{125^\frac{4}{3}}

Apply the following law of indices;

\frac{a^m}{a^n}  a^{m-n}

The expression becomes

125^{2-\frac{4}{3}}

Solve the exponents

125^{\frac{6-4}{3}}

125^{\frac{2}{3}}

Express 125 as 5³

5^{3^*\frac{2}{3}}

Solve the exponents

5^2

25

Hence;

\frac{125^2}{125^\frac{4}{3}} = 25

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The graph represents function 1, and the equation represents function 2: A coordinate plane graph is shown. A horizontal line is
vladimir2022 [97]

Answer:

A

Step-by-step explanation:

5 0
2 years ago
A student bought two juice pouches for $1.25 each and 3 bags of chips. The total cost was $5.05. Write and solve an equation to
bija089 [108]

Answer:

$0.85

Step-by-step explanation:

2 juice pouches- $2.50

3c+2.50=5.05 (c is for bags of chips)

3c=5.05-2.50

3c=2.55

c= $0.85

So one bag of chip is $0.85

8 0
1 year ago
Read 2 more answers
FILIPINO 10
Serjik [45]

Step-by-step explanation:

Pabula- ang pabula ay nang galing sa English world na parable na nang galing namn sa Greek world na parabol na ang ibig sabihin na maiksing sanaysay.

Emento-ang mga Elemento na ma tag puan sa parabulang kwento at banghay ng kwento.

Nilalaman-ang nilalaman ng parabula ay tungkol sa isang katiwala na nag lulustay ng ari-arian sa kanyang amo.

Kakanyahan-ang kakanyahan ng parabula ang tusong katiwala ay ang pagtitiwala at pag taksil.

!! Yan napo sana nakakatulong po!!

4 0
2 years ago
The smallest natural number divisible by 2,3,4,5,6,8 and 9 is____.
SVETLANKA909090 [29]

Answer:

360

Step-by-step explanation:

You will need 2 * 2 * 2 for the smallest number to be divisible by 8 with all the others.

You will need 3 * 3  for the smallest number to be divisible by 9 with all the others.

Finally you will need 1 five

The smallest number divisible by all of these is 2*2*2*3*3*5 = 360

  • 360/2 = 180 works
  • 360/3 = 120 works
  • 360/5 = 72   works
  • 360/6 = 60 works
  • 360/8 = 45 works
  • 360/9 = 40 works.

There is no smaller number below 360 which will work.

7 0
2 years ago
Using the technique in the model above, find the missing segments in this 30°-60°-90° right triangle. AB = 8 BC = 4 CD =
zimovet [89]
For a 30-60-90 triangle the sides always have the same relationship
Short leg = a
Long leg = a√3
Hypotenuse = 2a

BC is the short leg of ∆ABC

Given BC = 2
BC = a
Therefor
a = 2
AB = 2a = 4
AC = a√3 = 2√3

For ∆ACD
As above AC = 2√3
Since AC is the hypotenuse of ∆ACD
2a = 2√3
a = √3

CD = a = √3
AD = a√3 = 3

For ∆BCD
As above
BC = 2
CD = √3
Since BC is the hypotenuse of ∆BCD
2a = 2
a = 1

DB = a = 1
6 0
2 years ago
Read 2 more answers
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