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MArishka [77]
3 years ago
10

Simplify: (−2a2b) • (4a5b2) −8a7b3 −8a10b2 −8(ab)10 16a7b3

Mathematics
2 answers:
7nadin3 [17]3 years ago
7 0
I hope this helps you



-2a^2b.4.a^5.b^2



-8.(a^2+5)(b^1+2)



-8.a^7.b^3
yanalaym [24]3 years ago
6 0

Answer:

The correct option is A) -8a^{7}b^{3}.

Step-by-step explanation:

Consider the provided expression.

(-2a^2b) \cdot (4a^5b^2)

Now open the parentheses.

(-2\times4)(a^2\times a^5)(b\times b^2)

Now, use the product rule: a^m \cdot a^n= a^{m+n}

(-8)(a^{2+5})(b^{1+2})

(-8)(a^{7})(b^{3})

-8a^{7}b^{3}

Hence the simplified form of the provided expression is -8a^{7}b^{3}.

Therefore, the correct option is A) -8a^{7}b^{3}.

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The table shows your height on a water slide at various time intervals
Allushta [10]

1. The average rate of change in a riders height between 1 and 3 seconds -30 ft/s

2. The average rate of change in a riders height between 0 and 5 seconds -24 ft/s

3. Another word for rate of change in this situation is speed

<h3>What is speed? </h3>

Speed is defined as the rate of change of the distance travelled with time. Mathematically, it can be expressed as:

Speed = distance / time

With the above idea, we can obtain the answers to the question given above.

<h3>1. How to determine the rate of change between 1 and 3 seconds</h3>
  • Change in height = 30 - 90 = -60 ft
  • Change in time = 3 - 1 = 2 s
  • Rate of change =?

Rate = Change in height / change in time

Rate = -60 / 2

Rate = -30 ft/s

<h3>2. How to determine the rate of change between 0 and 5 seconds</h3>
  • Change in height = 0 - 120 = -120 ft
  • Change in time = 5 - 0 = 5 s
  • Rate of change =?

Rate = Change in height / change in time

Rate = -120 / 5

Rate = -24 ft/s

<h3>3. what is another word for rate of change?</h3>

From the definition of speed given above, we can say that: another word for rate of change is speed

Learn more about speed:

brainly.com/question/680492

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3 0
2 years ago
Help me plzzzzzzzzzzz
dimulka [17.4K]

Answer:

Top row, third one from left to right

Step-by-step explanation:

Use test points:

when x = 0 , y = 2(0) - 4 = 0 - 4 = -4

(0, -4)

when y = 0, 0 = 2x - 4, 4 = 2x, 2 = x

(2, 0)

Top row, third one from left to right

7 0
3 years ago
The approximate distance of the moon from Earth is 4 x 105 km and the average approximate distance from the Earth to Venus is 4
Elodia [21]
I think it's the answer is b!!
5 0
3 years ago
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A sphere has a radius of 18 cm. what is the approximate volume of the sphere​
dolphi86 [110]

Answer:V≈24429.02cm³

Step-by-step explanation: hope this helps :)

6 0
3 years ago
The point (2, -3) lies in quadrant
timurjin [86]

Answer:

Therefore,

( 2 , -3 ) Lies in Quadrant IV.

Step-by-step explanation:

Quadrant :

The axes of a two-dimensional Cartesian system divide the plane into four infinite regions, called quadrants.

Recall that the coordinate plane has an x-axis that divides into a top and bottom half, and a y-axis dividing into the left and right half. Together they create the four quadrants of the plane.

Numbering is done in Anticlockwise

Quadrant I  -          x-coordinate is Positive , y-coordinate is Positive.  

Quadrant II   -        x-coordinate is Negative , y-coordinate is Positive.  

Quadrant III    -      x-coordinate is Negative , y-coordinate is Negative.  

Quadrant IV     -    x-coordinate is Positive , y-coordinate is Negative.  

Therefore,

( 2 , -3 ) Lies in Quadrant IV.

3 0
3 years ago
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