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2 years ago

Find the limit as limit x->0, tan2x/x

1 answer:

3 0

We are given with the expression <span>tan2x / x</span> and asked to evaluate the expression to limit as theta approaches zero. In this case, we substitute first zero. The answer is zero over zero. This is indeterminate so we derive the terms accdg to L'hopital's rule. The derivative is 2 sec^2 2x/1. cos 2x is 1 so is sec^2 2x. Hence the answer is 2.

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Which of the following options have the same value as 15% of 20?

AnnZ [28]

Answers are: A, C, D

Note how
(3/20)*20 = 0.15*20 = 3
0.15*20 = 3
(15/100)*20 = 0.15*20 = 3
all expressions lead to the same result of 3

another thing to notice
3/20 = 15/100 = 0.15 = 15%
which are multiple ways to say the same thing just in a different form

5 0

2 years ago

1. The company has agreed on a 9- character password format, comprised of uppercase letters, lower case letters, and digits (0-9

pochemuha

Answer: a) 1977060966, b) 146581344.

Step-by-step explanation:

Since we have given that

There are 10 numbers,

There are 26 lower case letters,

There are 26 upper case letters,

Since the first 3 characters have to be digits and next 6 can be upper or lower.

So, a) repetitions are allowed:

$10^3\times (26+26)^6\\\\=10^3\times 52^6\\\\=1977060966$

b) repetitions are not allowed:

$^{10}P_3\times ^{52}C_6\\\\=720\times 20358520\\\\=146581344$

Hence, a) 1977060966, b) 146581344.

5 0

2 years ago

How to slove for x?

Luba_88 [7]

Ok so you can see 2 triangles that i highlighted, flip it so it is the same direction as you can see from the drawing
using the similar triangle equation
you get
136/64 = x/136
cross multiply and get
64x=18496
x=289

hope it help

8 0

3 years ago

PLEASE HELP QUICKLY! 20 points! I will mark best answer as Brainliest!

Alina [70]

t= 2.25 secs

Step-by-step explanation:

Step 1 :

Equation for motion with uniform acceleration is v = u+ at

where v is the final velocity

u is the initial velocity

a is the acceleration due to gravity

and t is the time

Step 2 :

Here , v = 0 because at the highest point final velocity is 0.

u = 72 feet/sec

a = -32 ft/sec^2

We need to find the time t.

Substituting in the equation we have,

0 = 72 -32 * t

=> 32 t = 72

=> t = 72/32 = 2.25 secs

4 0

2 years ago

Find the equation of the regression line and the value of the correlation coefficient (r).

tino4ka555 [31]

Answer:

According with the graph:

1.) The equation of the regresion line is: y=5,720.10391 x + 957.225810

2.) The values of the correlation coefficient is 0.86

Step-by-step explanation:

In the graph is shown:

1.) Line of Best Fit

y=5720.10391 x + 957.225810

2.) Correlation

.86

3 0

2 years ago