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3 years ago

What is the square root of 32 over 4

Mathematics

2 answers:

Hitman42 [59]3 years ago

6 0

$2 \sqrt{2}$
or approximately 2.82843

castortr0y [4]3 years ago

4 0

$\frac{\sqrt{32}}{4}$

Factor square root of 32: 2^5/2.

Factor 4: 2^2

$\frac{2^\frac{5}{2}}{2^{2}}$

Cancel 2 1/2= 2 1/2.

2 1/2= square root of 2.

Answer: $\sqrt{2}$

Hope this helps :)

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A boat traveled 153 miles downstream and back. The trip downstream took 9 hours. The trip back took 17 hours. What is the speed

fgiga [73]

Speed of boat in still water is 13 miles per hour and speed of current is 4 miles per hour

<h3><u><em>Solution:</em></u></h3>

Let s = the speed of the boat in still water in miles/hour

Let c = the speed of the current in miles/hour

<em><u>Formula to remember:</u></em>

If the speed of a boat in still water is s miles/hr and the speed of the current is c miles/hr, then:

Speed downstream = (s + c) miles per hour

Speed upstream = (s - c) miles per hour

<em><u>Given:</u></em>

boat traveled 153 miles downstream and back

distance for downstream = 153 miles

distance for upstream = 153 miles

time taken for downstream = 9 hours

Time taken for upstream = 17 hours

<em><u>The relation between speed, distance and time is given as:</u></em>

$distance = speed \times time$

<em><u>For downstream:</u></em>

$153 = (s + c) \times 9$

$s + c = \frac{153}{9} = 17$

s + c = 17 ------- eqn 1

<em><u>For upstream:</u></em>

$153 = (s - c) \times 17\\\\s - c = \frac{153}{17} = 9$

s - c = 9 ------- eqn 2

<em><u>Let us solve eqn 1 and eqn 2 to find values of "s" and "c"</u></em>

Add eqn 1 and eqn 2

s + c = 17

s - c = 9

(+) -------------

2s = 26

Substitute s = 13 in eqn 1

13 + c = 17

c = 17 - 13 = 4

Thus the speed of boat in still water is 13 miles per hour and speed of current is 4 miles per hour

8 0

3 years ago

125 coins if 88% of the coins he collected were foreign, how many other coins<br> did he collect?

meriva

Answer:

use a calcalater

Step-by-step explanation:

1.5625

8 0

3 years ago

Divide. −8 3/4÷2 1/6

Lapatulllka [165]

-4 1/26
hope this helps

5 0

4 years ago

Read 2 more answers

Evaluate the expression 4x2+3y for x = 5 and y =6.

tekilochka [14]

4 x 5 x 2 + 3 x 6 = 58

7 0

3 years ago

PLEASE HELP I HAVE AN HOUR LEFT!!

Yuki888 [10]

The statement that correctly describes the horizontal asymptote of g(x) is:

Limit of g (x) as x approaches plus-or-minus infinity = 6, so g(x) has an asymptote at y = 6.

<h3>What are the asymptotes of a function f(x)?</h3>

The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator.

The horizontal asymptote is the limit of f(x) as x goes to infinity, as long as this value is different of infinity.

In this problem, the function is:

$g(x) = \frac{42x^3 - 15}{7x^3 - 4x^2 - 3}$

The horizontal asymptote is given as follows:

$y = \lim_{x \rightarrow \infty} g(x) = \lim_{x \rightarrow \infty} \frac{42x^3 - 15}{7x^3 - 4x^2 - 3} = \lim_{x \rightarrow \infty} \frac{42x^3}{7x^3} = \lim_{x \rightarrow \infty} 6 = 6$

Hence the correct statement is:

Limit of g (x) as x approaches plus-or-minus infinity = 6, so g(x) has an asymptote at y = 6.

More can be learned about asymptotes at brainly.com/question/16948935

#SPJ1

5 0

2 years ago