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3 years ago

If y varies directly as the square of x and y = 12 when x = 2 find the value of x when y = 108

Mathematics

1 answer:

dolphi86 [110]3 years ago

8 0

108/12 = 9 so when y = 108 x = 9×2 which = 18 so when y =108 x = 18

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Given the formula K = LMN, what is the formula for M?

Andre45 [30]

To start off devide both sides by M i.e
K/M=LMN/M
-> K/M=LN
Then devide by K to remove it on the left , this will end you up with M=LN/K
So the answer is (c).
Hope this helps :).

5 0

3 years ago

Can someone explain the process getting from:

spin [16.1K]

$\rm 5=e^{3b}$

The unknown b is stuck in the exponent position.
We can can fix that by using logarithms.
Log is the inverse operation of the exponential.

We'll take log of each side.
Log of what base tho?

Well, the base of our exponential is e,
so we'll take log base e of each side.

$\rm log_e(5)=log_e(e^{3b})$

We'll apply one of our log rules next:
$\rm \log(x^y)=y\cdot\log(x)$

This allows us to take the exponent out of the log,

$\rm log_e(5)=(3b)log_e(e)$

Another thing to remember about logs:
When the base of the log matches the inside of the log,
then the whole thing is simply 1,
$\rm log_{10}(10)=1$
$\rm log_5(5)=1$
$\rm log_e(e)=1$

So our equation simplifies to this,

$\rm log_e(5)=(3b)\cdot1$

As a final step, divide both sides by 3,

$\rm \frac13log_e(5)=b$

k, hope that helps!

6 0

3 years ago

Help me with this question

nikklg [1K]

Answer:

314

Step-by-step explanation:

the formula to get the area of a circle is $\pi r^{2}$

pi=3.14 and r=10

do you get 3.14 x $10^{2}$

3.14 x 100

314

6 0

3 years ago

It’s almost time for Prom! You want to book a limo and are trying to figure out how much it will cost. The limo company charges

Bogdan [553]

$2200

for 4 hours, I think, I hope I helped.

8 0

3 years ago

Read 2 more answers

The binomial (2x3 + 3y2)7 is shown in expanded form, but elements of several terms are missing. To complete the expansion, drag

svlad2 [7]

${(2x^{3} + 3x^{2} )}^{7}$
EXPANDED: VERY LONG

$128x^{21} +1344x^{18} y^{2} +6048x^{15} y^{4} +15120x^{12} y^{6} +22680x^{9} y^{8} +20412x^{6} y^{10} +10206x^{3} y^{12} +2187y^{14}$

I used the Binomial Theorem, Which States
$(a + b)(a + b)= {a}^{2} + 2ab + {b}^{2} \\$
$({a}^{2} + 2ab + {b}^{2} )(a + b)={a}^{3} + 3 {a}^{2} b + 3a {b}^{2} + {b}^{3}$
$({a}^{3} + 3 {a}^{2} b + 3a {b}^{2} + {b}^{3}) \times (a + b) = i \: believe \: you \: get \: the \: pattern \: now$

8 0

3 years ago