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2 years ago

Find the limit. (If an answer does not exist, enter DNE.) lim ( (1/x)-(1/lxl)) x→0^+

Mathematics

1 answer:

jek_recluse [69]2 years ago

4 0

Answer:

Step-by-step explanation:

The + on the zero means the limit as x approaches 0 from the right side

$\lim_{x \to 0^{+} } (\frac{1}{x} - \frac{1}{|x|})\\ \lim_{x \to 0^{+} } (\frac{1}{x} - \frac{1}{x})\\ \lim_{x \to 0^{+} } (0)\\0$

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HOW COULD you model 5 students sharing 4 bags of popcorn equally? How much would each student get?

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Each student would get 4/5 bag of popcorn

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Whats the Square root of 13?

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The square root of 13 is an irrational number so you would just write it as the square root of 13.

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ariana's 150g bag of trail mix is x% raisins. brandon's 250g bag of trail mix is y% raisins. they combine the two mixes together

Tema [17]

Answer:

(3x+5y)/8

Step-by-step explanation:

The total amount is 150+250=400

We then do (3x+5y)/2 × 1/400

This equals (3x+5y)/800

We multiply that by 100 giving us the final answer.

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2 years ago

Is the relationship linear, exponential, or neither?

kati45 [8]

Answer:

Neither linear nor exponential

Step-by-step explanation:

To check for a linear relationship. Find slope.

slope= (-1 - (-2)) / ( 5 - 2) = 1/3

check other points

slope = (1 - (-1) )/ (8 - 5) = 2/3

check more

slope = (4 - 1) / (11 - 8) = 3/ 3 = 1

Nope.

try assuming an exponential:

y = c * (a^x)

-2 = c* (a^2); -2/c = a^2

-1 = c *(a ^5); -1/c = a^5

1 = c * (a^8), 1/c = a^8

(-2/c)^4 = a^8 = 1/c

16/(c^4) = 1/c

c^3 = 16, then a = root (-2/ cube-root(16) )

The change from negative to postive would not work for y = c(a^x)

so...

assume y = a^x + k

-2 = a^2 + k

-1 = a^5 + k

... I would say neither..

6 0

3 years ago

A ball is dropped from a height of 600 feet. The function describing the height of the ball at t seconds after it dropped is <im

bekas [8.4K]

The average velocity of the object after during the first three seconds is: 48m/s

The time at which the instantaneous velocity equals the average velocity within the first three seconds is 1.5 seconds.

<h3>What is instantaneous and average velocities?</h3>

Instantaneous velocity is the speed of an object at a particular point in time.

Average velocity is the velocity of an object after covering a certain distance for a period of time

Analysis:

Given

initial height = 600 feet

Height with respect to time = f(t) = -16 $t^{2}$ + 600

a) Height at t = 0 = 600 feet

Height at t = 3 seconds = f(3) = -16 $(3)^{2}$ + 600 = 456 feet

Distance travelled = 600 - 456 = 144 feet

Average velocity = distance travelled/time taken = 144/3 = 48 feet/seconds

b) instantaneous velocity at time t = $\frac{df(t)}{dt}$ = $\frac{d(-16t^{2} + 600) }{dt}$ = -32t

when instantaneous velocity equal average velocity

-32t = -48

t = 1.5 seconds

In conclusion, the Average velocity after 3 seconds is 48 feet per seconds and the time taken for the average velocity to equal the instantaneous velocity is 1.5 seconds.

Learn more about instantaneous and Average velocity: brainly.com/question/13372043

#SPJ1

7 0

2 years ago