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oksian1 [2.3K]
4 years ago
11

What is a common denominator for 9 and 10

Mathematics
1 answer:
Andreas93 [3]4 years ago
5 0
A common denominator for 9 and 10 is 90~
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Using L’hopital’s rule please I need this ASAP Is due today!!!!!!!!!
Gelneren [198K]

Answer:

See below.

Step-by-step explanation:

You differentiate  top and bottom of the fraction until substitution gives you a value.

I can do the third one for you:

Lim x --> 0 of sin2x / sin3x

= lim x --> 0 of 2 cos2x / 3 cos 3x

= 2 cos 0 / 3 cos 0

= 2/3.

Limit as x--> 0  of (e^x - (1 - x) / x

= limit as x --> 0 of e^x + x - 1 / x

=  lim (e^x + 1) / 1

= 1 + 1 / 1

= 2.

limit as x-->  00  of  3x^2 - 2x +  1/ (2x^2 + 3)

= limit as x --> 00 of  6x - 2 / 4x     ( 00 = infinity)

Applying l'hopitals rule again:

limit is 6 / 4 =  3/2.

Limit  as x --> 00 of (ln x)^3 / x

= limit  3 (Ln x)^2 ) / x

= limit of  6 ln x / x

= limit  6 / x

= 0.

We had  to apply l'hopitals  rule 3 times here,

5 0
3 years ago
Nicole filled her tank for $38.50 for 21.5 gallons. How much did Nicole spend per gallon? (Write your answer with 2 decimal plac
Charra [1.4K]

Answer:

$1.79 per gallon, I believe.

Step-by-step explanation:

4 0
3 years ago
a triangle has one side which is 1 foot long and another side which is 2 feet long. write a value that could be the length of th
Tpy6a [65]

Answer:

The Square Root of 5

Step-by-step explanation:

If side a = 1

and side b = 2

According to Pythagorean Theorem, a^2+b^2=c^2, the answer would be:

1^2+2^2=c^2

1+4=c^2

5=c^2

c=the square root of 5

3 0
4 years ago
Write the equation of a line that passes through the points (-2, -8) and (2, -6).
Anna [14]

Answer:

y = \frac{1}{2} x - 7

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (- 2, - 8) and (x₂, y₂ ) = (2, - 6)

m = \frac{-6+8}{2+2} = \frac{2}{4} = \frac{1}{2} , thus

y = \frac{1}{2} x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (2, - 6), then

- 6 = 1 + c ⇒ c = - 6 - 1 = - 7

y = \frac{1}{2} x - 7 ← equation of line

5 0
3 years ago
the length of rectangle is 2 2/8 in.longer than the width. the width is 1/4 in.How long is the rectangle?
AveGali [126]

The rectangle is 2 3/4in. Long


5 0
3 years ago
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