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4 years ago

Find the smallest solution of the equation 2/3x^2=24

1 answer:

5 0

$\dfrac{2}{3} {x}^{2} \: \: = \: \: 24 \\ \\ \: {x}^{2} \: \: = 24 \: \times \: \dfrac{3}{2} \\ \\ \: {x}^{2} \: \: = \: \: 36 \\ \\ x = 6 \: \: or \: \: x = - 6 \: \: \: \: \\$

Hence , smallest solution is -6

Hope it helps you ! :)

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Conversions: 24,900 miles into meters (m) (1 inch =2.54cm)

Orlov [11]

For this, we will be using dimensional analysis as such:

$\frac{24900\ mi}{1}*\frac{5280\ ft}{1\ mi}*\frac{12\ in}{1\ ft}*\frac{2.54\ cm}{1\ in}*\frac{1\ m}{100\ cm}=\frac{4007266560}{100}=40072665.6\ m$

In short, 24,900 miles is 40,072,665.6 (40,072,666 if rounded to the whole meter) meters.

6 0

4 years ago

A store was keeping track of how many bottles of hand sanitizer and soap bars were sold last week. A bottle of hand sanitizer co

agasfer [191]

Answer:

Hand sanitizer=135 bottles

Bar soap=83 bottles

Step-by-step explanation:

Let x represent the hand sanitizer and y the sop.

-Our problem can be expressed as:

$x+y=218\ \ \ \ \ ...i\\\\4.25x+2.15y=752.20\ \ \ \ \ ...ii$

#Make x the subject in i then substitute in ii to solve;

$x=218-y\\\\\therefore 4.25(218-y)+2.15y=752.20\\\\926.5-4.25y+2.15y=752.20\\\\174.3=2.1y\\\\y=83\\\\x=218-83=135$

Hence, 135 bottles of hand sanitizer and 83 bottles of bar soap were sold.

5 0

3 years ago

Nth term of 4,11,18,25

romanna [79]

18 is the answer because eighteenth has nth in the ending

8 0

3 years ago

Read 2 more answers

Match each complex number with its equivalent expression i^157 i^315 i^102 i^76

ryzh [129]

Answers:

$i^{157} = i\\\\i^{315} = -i\\\\i^{102} = -1\\\\i^{76} = 1\\\\$

=====================================================

Explanation:

By definition, $i = \sqrt{-1}$

Squaring both sides gets us $i^2 = -1$

Then multiply both sides by i to get $i^3 = -i$

Repeat the last step and you should get $i^4 = -i^2 = -(-1) = 1$

---------------

Notice we have this pattern going on:

$i^0 = 1\\\\i^1 = i\\\\i^2 = -1\\\\i^3 = -i\\\\i^4 = 1\\\\$

Once we reach i^4, we start the process over again.

It repeats every 4 terms.

This means we'll divide the exponent over 4 and look at the remainder. We ignore the quotient completely.

157/4 = 39 remainder 1

That remainder 1 is the exponent of the simplified term

$i^{157} = i^1 = i$

---------------

Similarly,

315/4 = 78 remainder 3

So $i^{315} = i^3 = -i$

---------------

102/4 = 25 remainder 2

$i^{102} = i^2 = -1$

----------------

76/4 = 19 remainder 0

$i^{76} = i^0 = 1$

8 0

2 years ago

Have 5 minutes need help for this please !!!!!!!!!

evablogger [386]

She did not multiply 2 by 9x
if she did it would had been 18x

3 0

4 years ago