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Slav-nsk [51]
3 years ago
5

Lim of tan(x) as x approaches pi/2. It does not ask from either the + or - direction, just pi/2. The answer is 0, but i think it

is DNE? Cause from the left, it is infinity and from the right, negative infinity
Mathematics
1 answer:
faltersainse [42]3 years ago
7 0
Yes, you are right, if it approaches from the left, the limit is infinity and if it approaches from the right, the limit is negative infinity. The limit does not exist because it reaches infinity as x approaches pi/2 and the limits are the same when the value is approached from the opposite directions.
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Simplify: (3²-4)/5 <br>A. 1 <br>B. 1.25 <br>C. 1/5 <br>D. 5​
Nikitich [7]

Answer:

A is the correct answer

Step-by-step explanation:

(9 -4)/ 5

5/5

=1

7 0
3 years ago
Read 2 more answers
A carpenter wants to cut a board 16 1/2 feet in length into 1 7/8 feet pieces. How many pieces can be cut from the board? The ca
yawa3891 [41]
<h3>Answer:</h3>
  • 8 pieces
  • 3/8 foot
<h3>Explanation:</h3>

a) Let n represent the number of 1 7/8 ft pieces. Then we have ...

... 16 1/2 ft = n × (1 7/8 ft)

We can find n by dividing this equation by 1 7/8.

... (16 1/2)/(1 7/8) = n = (132/8)/(15/8) = 132/15

... n = 8 12/15 = 8 4/5

The integer number of pieces that can be cut is 8 pieces.

b) The length of the left-over piece is 4/5 of the full length of a piece, so is ...

... (4/5) × (15/8 ft) = 12/8 ft

We want to divide this into 4 equal lengths, so each of those lengths will be 1/4 of the length of the left-over:

... (1/4) × (12/8 ft) = 3/8 ft

_____

<em>Comment on arithmetic with fractions</em>

This problem is easier if you <em>convert the mixed numbers to improper fractions</em>. This is done by expressing the integer as a number of fractional parts, then adding the fraction part of the mixed number:

... a + b/c = (a×c/c) + b/c = (ac +b)/c

Division with fractions is taught a couple of different ways. One way you can do it is to "invert and multiply". That is, you multiply the numerator fraction by the reciprocal of the denominator fraction:

... (a/b)/(c/d) = (a/b)×(d/c)

Another way you can do the division is to express each of the numerator and denominator fractions over the same denominator. Then the quotient is the ratio of numerators.

... (a/c)/(b/c) = a/b

This is the method we used here. Effectively, we converted 16 1/2 to 16 4/8 then to (16×8 +4)/8 = 132/8. Then the numerator and denominator fractions both had denominators of 8, so (132/8)/(15/8) = 132/15. This fraction can be reduced by removing a factor of 3 from numerator and denominator to give ...

... 132/15 = 44/5 = 8 4/5

7 0
3 years ago
This year, gasoline costs $4 per gallon. This is a 125% increase over the cost 3 years ago. What expression can be used to deter
pochemuha

The equation would be, 4/125%.

7 0
3 years ago
PLEASEHELP!!!!!!
pantera1 [17]

Using proportions, it is found that the speed of the runners are of 16 mph and of 20 mph.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount.

After 30 minutes, the runners are 2 miles apart, hence the second runner is 4 miles per hour faster than the second, that is:

v_2 = v_1 + 4.

The first runner's speed is 4/5 of the speed of the second runner, hence:

v_1 = \frac{4}{5}v_2

v_1 = \frac{4}{5}(v_1 + 4)

\frac{1}{5}v_1 = \frac{16}{5}

v_1 = 16

v_2 = 16 + 4 = 20

Hence, the speed of the runners are of 16 mph and of 20 mph.

More can be learned about proportions at brainly.com/question/24863377

5 0
2 years ago
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