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zaharov [31]
3 years ago
11

0.0508 written in 2 significantfigures is?​

Mathematics
1 answer:
mojhsa [17]3 years ago
5 0

0.05

0.0008

i think this is what u are talking about right

if not im srry i don't now

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Explain why f(x) = x^2+4x+3/x^2-x-2 is not continuous at x = -1.
liberstina [14]

Answer:

The value of x = -1 makes the denominator of the function equal to zero. That is why this value is not included in the domain of f(x)

Step-by-step explanation:

We have the following expression

f(x) = \frac{x^2+4x+3}{x^2-x-2}

Since the division between zero is not defined then the function f(x) can not include the values of x that make the denominator of the function zero.

Now we search that values of x make 0 the denominator factoring the polynomial x^2-x-2

We need two numbers that when adding them get as a result -1 and when multiplying those numbers, obtain -2 as a result.

These numbers are -2 and 1

Then the factors are:

(x-2) (x + 1)

We do the same with the numerator

x^2+4x+3

We need two numbers that when adding them get as a result 4 and when multiplying those numbers, obtain 3 as a result.

These numbers are 3 and 1

Then the factors are:

(x+3)(x + 1)

Therefore

f(x) = \frac{(x+3)(x+1)}{(x-2)(x+1)}

Note that \frac{(x+1)}{(x+1)}=1 only if x \neq -1

So since x = -1 is not included in the domain the function has a discontinuity in x = -1

3 0
3 years ago
Construct 98% confidence intervals based on the following data: 49, 38, 67, 69, 58, 70, 66, 85.​
Orlov [11]

Answer:

May I have a little more context please?

Step-by-step explanation:

6 0
3 years ago
I need help with #15
gladu [14]
15.  MP(5,11)    S(3,5)   M(x,y)

(3+x)/2 = 5  x=7

(5+y)/2 =-11  y=-27

M(7,-27) is the other point
8 0
3 years ago
In the figure, angle A measures 45° and angle E measures 15°.
nadya68 [22]

Answer:

Angle C = 45 degrees.

Angle D = 30 degrees.  

Step-by-step explanation:

Angle C = 45 + 90 = 135   180 - 135 = 45.

Angle D = 180 - 45 = 135 (angle F)   15 + 135 = 150   180 - 150 = 30

4 0
3 years ago
Read 2 more answers
4 letters are typed, without repetition. What is the probability that all 4 will be vowels? Write your answer asa percent. Round
Marysya12 [62]

There are 26 letters in the alphabet, 5 are vowels, therefore, the probability of choosing a vowel the first time is:

\frac{5}{26},

and the second time is:

\frac{4}{25}\text{.}

Continuing with this reasoning, we get that the probabilities each time are:

\frac{5}{26},\frac{4}{25},\frac{3}{24},\frac{2}{23}\text{.}

Finally, the probability that you get all vowels is the product of the probabilities:

\frac{1}{2990}\text{.}

Writing the above result as a percentage we get:

0.033\%.

Answer:

0.033\%\text{.}

3 0
10 months ago
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