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3 years ago

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What is the limit as x approaches negative infinity of (1.001)^x ...?

1 answer:

motikmotik3 years ago

3 0

<span>To answer this question we need to know that because x will always be negative, it is the same as saying lim as x approaches infinity of 1/(1.001)^x. That is why we can say that the denominator will get bigger and bigger, making the fraction and therefore the limit closer and closer to 0. </span>

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Jane thinks of a number she divides it by six and adds two she gets a number of 9 what number was she thinking of?

Pavlova-9 [17]

X / 6 + 2 = 9
x/6 = 9 - 2
x/6 = 7
x = 7 * 6
x = 42 <== ur number

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3 years ago

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mel-nik [20]

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A ball is shot upward from a slingshot at a velocity of 15 m/s the height of the ball after t seconds is given by h(t)=10+ 5t+1/

otez555 [7]

Answer:

The instantaneous velocity after eight seconds is 9 m/s

Step-by-step explanation:

Given as :

The ball shot upward with velocity of 15 m/s

The height of the ball after t sec is given as h(t) = $10 + 5t + \frac{1}{4}t^{2}$

Now, The instantaneous velocity after 8 sec = $\frac{\partial h(t)}{\partial t}$

Or, The instantaneous velocity = $\frac{\partial (10 +5t + \frac{1}{4}t^{2})}{\partial t}$

or, The instantaneous velocity = $5 + \frac{1}{4}\times 2 t$

Now at t = 8 sec

The instantaneous velocity = 5 + 4 = 9 m/s

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3 years ago

Find the area of a trapezium whose parallel sides are 28.7 cm and 22.3 cm and distance between parallel sides is 16 cm.

puteri [66]

Given:

The parallel sides of a trapezium are 28.7 cm and 22.3 cm.

The distance between parallel sides is 16 cm.

To find:

The area of a trapezium.

Solution:

The area of the trapezium is:

$A=\dfrac{a+b}{2}h$

Where, $a,b$ are parallel sides and $h$ is the vertical distance between the parallel sides.

Putting $a=28.7, b=22.3,h=16$ in the above formula, we get

$A=\dfrac{28.7+22.3}{2}\times(16)$

$A=\dfrac{51}{2}\times 16$

$A=51\times 8$

$A=408$

Therefore, the area of the trapezium is 408 square cm.

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3 years ago

working together Jacob and Kayla can clan an attic in 4.24 hours. had she done it alone it would have taken Kayla nine hours. ho

Marizza181 [45]

That’s not enough information to say how long he could do it. He could go slower or faster than her but by how much if so. So it’s not enough info.

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3 years ago