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olasank [31]
3 years ago
5

Simplify the following expression:

Mathematics
1 answer:
Nonamiya [84]3 years ago
8 0

Step-by-step explanation:

{ \bf{( \frac{ - 10 {a}^{3}  {b}^{5}  \times 6 {a}^{6}  {b}^{2} }{ {12a}^{9} {b}^{5}  } ) {}^{3} }} \\  \\  = { \sf{( \frac{ - 60 {a}^{9} {b}^{7}  }{12 {a}^{9} {b}^{5}  } ) {}^{3} }} \\  \\  = { \sf{(5 {b}^{2}) {}^{3}  }} \\  = { \sf{125 {b}^{5} }}

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Lisa ran around a rectangular field 150 m long and 50 m wide at an average speed of 100 m/min. How long did she take to complete
Anarel [89]

Answer:

20 minutes

Step-by-step explanation:

To make one round of the field, Lisa will have to cover the entire perimeter of the field.

The perimeter of a rectangle = 2(l+w) Where L = length and W = width.

The multiplication of 2 means two lengths and widths that each rectangle has. The perimeter of the field = 2(150 +50) = 400m

Lisa's average running speed = 100m/min

The time taken to cover one round of the field or one perimeter of the field = 400/100 = 4 minutes.

To cover 5 rounds or 5 perimeters Lisa will take 5x4 minutes = 20 minutes.

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3 years ago
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9. 2b - 6 + 3b = 14<br> Solve
ZanzabumX [31]

Answer: The answer would be b=4

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Which of the following statements uses the commutative property of addition?
Zolol [24]
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Atrice needs to find a container that will hold at least 300 cubic Inches of water. Which of these figures could atrice use
Tju [1.3M]

Answer:I think it’s answer B

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3 years ago
Find an equation of the tangent to the curve at the given point by both eliminating the parameter and without eliminating the pa
jek_recluse [69]

Answer:2x-y=5

Step-by-step explanation:

Given

x=6+\ln t

y=t^{2}+6

\left ( a\right ) without eliminating parameter

\frac{\mathrm{d} x}{\mathrm{d} t}=\frac{1}{t}

\frac{\mathrm{d} y}{\mathrm{d} t}=2t

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at \left ( 6,7\right )

6=6+\ln\left ( t\right )

t=1

Equation of line is given by

2=\frac{y-7}{x-6}

2x-12=y-7

2x-y=5

\left ( b\right )by eliminating parameter

x-6=\ln \left ( t\right )

t=e^{x-6}

y=t^2 +6

y=e^{\left ( 2x-12\right )}+6

differentiating we get

\frac{\mathrm{d}y}{\mathrm{d} x}=2e^\left ( 2x-12\right )

at \left ( 6,7\right )

\frac{\mathrm{d}y}{\mathrm{d} x}=2

2\left ( x-6\right )=\left ( y-7\right )

2x-y=5

4 0
3 years ago
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