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nekit [7.7K]
3 years ago
9

Which expression is equivalent to StartFraction (5 a b) cubed Over 30 a Superscript negative 6 Baseline b Superscript negative 7

Baseline EndFraction? Assume a not-equals 0, b not-equals 0.
StartFraction a Superscript 7 Baseline b Superscript 10 Baseline Over 6 EndFraction
StartFraction 125 a Superscript 18 Baseline b Superscript 21 Baseline Over 30 EndFraction
StartFraction 25 a cubed b Superscript 4 Baseline Over 6 EndFraction
StartFraction 25 a Superscript 9 Baseline b Superscript 10 Baseline Over 6 EndFraction
Mathematics
1 answer:
m_a_m_a [10]3 years ago
7 0

Answer:

Option D.

Step-by-step explanation:

The given expression is

\dfrac{(5ab)^3}{30a^{-6}b^{-7}}

We need to find the expression, which is equivalent to the given expression.

The given expression can be rewritten as

\dfrac{5^3a^3b^3}{30a^{-6}b^{-7}}     [\because (ab)^m=a^mb^m]

\dfrac{125}{30}\times \dfrac{a^3}{a^{-6}}\times \dfrac{b^3}{b^{-7}}

\dfrac{25}{6}\times a^{3-(-6)}\times b^{3-(-7)}    [\because \dfrac{a^m}{a^n}=a^{m-n}]

\dfrac{25}{6}\times a^{3+6}\times b^{3+7}

\dfrac{25a^9b^{10}}{6}

Therefore, the correct option is D.

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The speed that a tsunami can travel is modeled by the equation s = 356 startroot d endroot , where s is the speed in kilometers
Naddika [18.5K]

The approximate depth of water for a tsunami traveling at 200 kilometers per hour is 0.32 km.

<h3>What is speed?</h3>

Speed can be calculated as the ratio of distance traveled to the time taken.

The speed that a tsunami can travel is modeled by the equation

s = 356√d, where s is the speed in kilometers per hour and d is the average depth of the water in kilometers.

S = 356√d

200 = 356√d

√d = 200/356

= 0.5618

d = 0.5618^2

= 0.316 km

d = 0.32 km.

Thus, The approximate depth of water for a tsunami traveling at 200 kilometers per hour is 0.32 km.

Learn more about speed;

brainly.com/question/4723349

8 0
2 years ago
PLEASE HELP ME PLEASE!
maria [59]
They can because of zero property. If we set them equal to zero we get their roots which is 3 and -2. This is the same on the x axis which is goes through. We can mark these points.
4 0
3 years ago
The area of a rectangle increased by seven is the same as for less than twice the area of the rectangle. Right and solve an equa
never [62]

Answer:

11 Square Units

Step-by-step explanation:

Let A be the area of the Rectangle

First statement: The area of the rectangle is increased by seven, we have :

A+7

Second Statement: Four less than twice the area of the rectangle

Twice the Area=2A

Four less = 2A-4

Therefore:

2A-4=A+7

Collecting like terms

2A-A =7+4

A=11

The area of the rectangle is 11 Square Units.

7 0
3 years ago
9&gt; -2m + 2 - 3
Tanya [424]

Answer:

A

Step-by-step explanation:

Given

9 > - 2m + 2 - 3, that is

9 > - 2m - 1 ( add 1 to both sides )

10 > - 2m

Divide both sides by - 2, reversing the symbol as a result if dividing by a negative quantity.

- 5 < m , thus

m > - 5 → A

6 0
3 years ago
Read 2 more answers
To what subsets does -17 belong
Nikolay [14]
Rational number, negative, integer
5 0
3 years ago
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