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hram777 [196]
3 years ago
13

Use Quotient rule and simplify

Mathematics
1 answer:
mrs_skeptik [129]3 years ago
3 0

Answer:

1) 4 s^(-3) t^(-4) / (8 s^6 t^8) = s^(-9) t^(-12) / 2

2) 7 a^(-3) b^9 / [2 a^2 b^(-5)] = 7 a^(-5) b^14 / 2

Step-by-step explanation:

1) 4 s^(-3) t^(-4) / (8 s^6 t^8)

Dividind the numerator and denominator by 4:

[4 s^(-3) t^(-4)]/4 / (8 s^6 t^8)/4 = s^(-3) t^(-4) / (2 s^6 t^8)

Using quotient rule: a^m/a^n=a^(m-n):

s^(-3) t^(-4) / (2 s^6 t^8) = s^(-3-6) t^(-4-8) / 2 = s^(-9) t^(-12) / 2


2) 7 a^(-3) b^9 / [2 a^2 b^(-5)]

Using quotient rule: a^m/a^n=a^(m-n):

7 a^(-3) b^9 / [2 a^2 b^(-5)] = 7 a^(-3-2) b^(9-(-5)) / 2

7 a^(-3) b^9 / [2 a^2 b^(-5)] = 7 a^(-5) b^(9+5) / 2

7 a^(-3) b^9 / [2 a^2 b^(-5)] = 7 a^(-5) b^14 / 2

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Consider a population of size N = 100 with the three individual mutants with relative growth rate rA = 2, rB = 1.01, and rC = 0.
Salsk061 [2.6K]

Answer 1 / 25

Step-by-step explanation:

The probability that the first

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The probability that the second

of the three mutants will take over the population = 1.01 / 100

The probability that the third

of the three mutants will take over the population = 0.99 / 100

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7 0
3 years ago
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The volume of a prism is area of the base times height.
This is a triangular prism. The base is a triangle.
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Find the area of the triangle and multiply by the height of the prism.

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A = area of the base
H = height of the prism
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V = AH

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V = (1/2) * 9 ft * 7 ft * 15 ft

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3 0
3 years ago
Read 2 more answers
Read the above and answer​
svetlana [45]

Answer:

Linear Pair:

∠ 1 and ∠ 2

Vertical Angles:

∠ 1 and ∠ 3

Supplementary Angles:

∠ 7 and ∠ 6

Step-by-step explanation:

Linear Pair:

A linear pair of angles is formed when two lines intersect.

Two angles are said to be linear if they are adjacent angles formed by two intersecting lines.

The measure of a straight angle is 180 degrees, so a linear pair of angles must add up to 180 degrees.

Example

∠ 1 and ∠ 2           ∠ 8 and ∠ 5 ,etc

Vertical Angles:

The angles opposite each other when two lines cross.

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Example

∠ 1 and ∠ 3           ∠ 8 and ∠ 6 ,etc

Supplementary Angles:

Two Angles are Supplementary when they add up to 180 degrees.

Examples  two angles (140° and 40°)

All Linear pair are Supplementary angles

Example

∠ 7 and ∠ 6           ∠ 8 and ∠ 5 ,etc

3 0
3 years ago
Find the equation for parabola<br> Focus(3,4)<br> Directrix y=2
sveta [45]

Answer:

Step-by-step explanation:

we know that distance d from the focus to P should be the same to the distance from P to the directrix

(x-h)^2=4p(y-k)

we need to find the y coordinate,

x is the same from focus, 3

y=(3, (4+2)/2)=(3,3)

we find p now by subtracting the y from the focus from the y that we just found

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(x-3)^2=4(y-3),  (x-3)^2=4y-12

simplify

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3 years ago
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Answer: Associative property

Step-by-step explanation:

5 0
3 years ago
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