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prisoha [69]
3 years ago
13

Please answer asap!!

Mathematics
1 answer:
raketka [301]3 years ago
7 0

Answer:

-5

Step-by-step explanation:

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Lim x>0- ((x+deltaX)^2+x+deltaX-(x^2+x))/deltaX
Andre45 [30]
<span>((x+deltaX)^2+x+deltaX-(x^2+x))/deltaX = (x^2 + 2x delta x + (delta x)^2 + x + delta x - x^2 - x) / delta x = delta x (2x + delta x + 1) / delta x = 2x + delta x + 1

Therefore, </span>Lim as x tends to 0 of <span>((x + delta X)^2 + x + deltaX - (x^2 + x)) / deltaX</span> = 1 + delta x
6 0
3 years ago
Two cars, one going due east at 25 m / sec and the second going due south at 50/3 m / sec are traveling toward the intersection
valkas [14]

Answer:

30 m/s

Step-by-step explanation:

Let's say the distance from the first car to the intersection is x, and the distance from the second car to the intersection is y.

The distance between the cars can be found with Pythagorean theorem:

d² = x² + y²

Taking derivative with respect to time:

2d dd/dt = 2x dx/dt + 2y dy/dt

d dd/dt = x dx/dt + y dy/dt

We know that x = 200, dx/dt = -25, y = 150, and dy/dt = -50/3.

To find dd/dt, we still need to find d.

d² = x² + y²

d² = (200)² + (150)²

d = 250

Plugging everything in:

250 dd/dt = (200) (-25) + (150) (-50/3)

dd/dt = -30

The cars are approaching each other at a rate of 30 m/s at that instant.

4 0
3 years ago
One-half (1/2) hour equals______________.
ozzi

1 hour = 60 minutes = 3600 seconds = 1/24 day

Divide every number above by 2 to get 1/2 hour and its equivalent numbers.

1/2 hour = 30 minutes = 1800 seconds = 1/12 day

5 0
3 years ago
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Use a model to divide. 1/4 ÷ 5<br><br> 1/20<br> 4/5<br> 1 1/4<br> 20
Lera25 [3.4K]

Answer:

\frac{1}{4}  \div 5 \\  =  \frac{1}{20}

Pls....can mark brainliest

3 0
3 years ago
Read 2 more answers
The
Yakvenalex [24]
The median is nine (9). You add each number up, and then you divide by the amount of numbers you have. 
The mean is 9.83 according to my calculations. 
8 0
4 years ago
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