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Alex Ar [27]
3 years ago
14

Solve for l:

20%7D%20" id="TexFormula1" title="v = \frac{ \sqrt{l + t} }{2 \sqrt{l} } " alt="v = \frac{ \sqrt{l + t} }{2 \sqrt{l} } " align="absmiddle" class="latex-formula">
.....​
Mathematics
1 answer:
garri49 [273]3 years ago
7 0

Answer:

l = t/4v² - 1

Step-by-step explanation:

Given the expression

v = √l+t/2√l

We are to make l the subject of the formula as shown;

Cross multiply

2v√l =  √l+t

Square both sides

(2v√l)² =  (√l+t)²

4v²l = l+t

t = 4v²l - l

t = l(4v² - 1)

Divide both sides by 4v² - 1

t/4v² - 1 = l(4v² - 1)/4v² - 1

t/4v² - 1 = l

Swap

l = t/4v² - 1

Hence the required expression for l is t/4v² - 1

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Bubba can mow a field in 8 hours. If Skeeter helps, they both can do it together in 3 hours. How long would it take Skeeter to m
ra1l [238]

When they work together, they do  1/3 of the job in one hour.

                   (Bubba) + (Skeeter) = 1/3 job/hour    

Subtract 'Bubba'
from each side:            Skeeter  =  (1/3 job/hour) - (Bubba)

Bubba, working alone, does  1/8 of the job in one hour.

                                      Skeeter  =  (1/3 job/hour) - (1/8 job/hour)

Can you subtract 1/8 from 1/3 ?

Before you can subtract, you'll need a common denominator.
I've got a nice one here . . .  24 .

                   1/3  =  8/24
                   1/8  =  3/24                                                         

                   Skeeter  =  (1/3 job/hour) - (1/8 job/hour)

                                  =  (8/24 job/hour) - (3/24 job/hour)

                                  =        5/24 job/hour .

Skeeter mows at the rate of  5/24 field/hour.

The other way to look at that is:     24/5 hour/field  =  4.8 hours .

Check:

         Bubba:     1/8     field per hour  =  0.125
         Skeeter:  1/4.8  field per hour  =  0.208333...     

         Together:                        (0.125 + 0.208333)

                                             =  0.333... field per hour

                                             =    3 hours/field .                  yay!
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3 years ago
Find the equation of the line: With an x intercept of 4 and ay intercept of −1.5.
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Answer:

y = (3/8)x - 1.5

Step-by-step explanation:

Use the slope-intercept form y = mx + b.  Substitute -1.5 for b, 4 for x and 0 for y.  Then:  0 = m(4) - 1.5, or

4m = 1.5, or

The slope is m = 1.5/4, or m = 0.375, or m = 3/8.

Note that the x-intercept can be treated just like any other point:  (4, 0)

Then the desired equation is     y = (3/8)x - 1.5

8 0
3 years ago
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answer:

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The price of a necklace was increased by 20% to ?156. What was the price before the increase?
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prohojiy [21]

Functions can be represented using equations, graphs and tables.

The function is given as:

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When l = 2, we have:

a(2) = \frac 12 \times 2^2

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When l = 3, we have:

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When l = 4, we have:

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Represent the above results as a table, we have:

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1          0.5

2         2.0

3          4.5

4          8.0

Read more about tables and functions at:

brainly.com/question/13136492

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