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m_a_m_a [10]
3 years ago
13

An astronaut drops a rock into a crater on the moon. The distance, d(t), in meters, the rock travels after t seconds can be mode

led by d(t)=0.8t^2. What is the average speed, in meters per second, of the rock between 5 and 10 seconds after it was dropped?
Mathematics
1 answer:
xxMikexx [17]3 years ago
3 0

Plug in 5 and 10 to the equation.

For the first one would be d(5) = 0.8(5)^2

Multiply the equation d(5) = 4^2

Then you just multiply the exponent the would be d(5) = 10

The second one, you just do the same thing and the answer would be d(10) = 64

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Ten less than 5 times the value of a number is equal to 10 times the quantity of
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Answer:

52

Step-by-step explanation:

given that the number is a

The expression for Ten less than 5 times the value of a number is given by

5a - 10

10 times the quantity of  12 more than one-fourth of the number.

a/4 is one-fourth  of number

12 more than one-fourth of the number

a/4 + 12

expression for  10 times the quantity of  12 more than one-fourth of the number. is given by

10(a/4 + 12) = 10a/4 + 12*10 = 2.5a + 120

Given that the above two expression are equal

equating them we have

5a - 10 = 2.5a + 120

adding 10 both sides

=>5a - 10+ 10  = 2.5a + 120 + 10

=> 5a = 2.5a + 130

subtracting 2.5a from both sides

=> 5a - 2.5a = 2.5a + 130 - 2.5a

=> 2.5a = 130

dividing both side by 2.5

=> a = 130/2.5 = 52

Thus, value of a is 52

5 0
3 years ago
Is |4x+2|+6=0 no solution, all real numbers, 0, and 2
algol [13]

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Subtract  6  from each side:  |4x + 2| = -6

But the absolute value of a number is always positive.
No value of 'x' can ever make  |4x + 2|  negative.

So the equation has <em>no solution</em>.


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Answer:

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