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3 years ago

13

Solve the following inequality using the algebraic approach:

1 answer:

Morgarella [4.7K]3 years ago

7 0

Answer:

b. x less-than StartFraction 10 Over 3 End fraction

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What is the integral of y'sinx=ylny ...?

Salsk061 [2.6K]

Y'sinx=ylny, is equivalent to <span>dy / dx (sinx=ylny, and </span><span>dy sinx=ylny dx
it is similar to dy/</span>ylny = dx/sinx
so integral (dy/ylny = integral dx/sinx)
integral dx/sinx)= Ln{abs value ( tan(x /2 + pi /4)}
integral (dy/ylny= ln(lny)
final answer is lny = {abs value ( tan(x /2 + pi /4)}+C, you can find y, or x

3 0

3 years ago

A vendor has 12 balloons for sale: 6 are yellow, 2 are red, and 4 are green. A balloon is selected at random and sold. If the ba

olchik [2.2K]

Answer is 5 over 11. I hope this may help you

8 0

3 years ago

Read 2 more answers

A leprechaun places a magic penny under a girls pillow. The next night there are 2 magic pennies under her pillow. The following

kiruha [24]

Answer:

<em>After </em><em>47</em><em> days she will have more than 90 trillion pennies.</em>

Step-by-step explanation:

At the beginning there was 1 penny. At the second day the amount of pennies under the pillow became 2.

The amount of pennies doubled each day. So the series is,

$1,2,4,8,16,32,.....$

This series is in geometric progression.

As the pennies from each of the previous days are not being stored away until more pennies magically appear so the sum of series will be,

$S_n=\dfrac{a(r^n-1)}{r-1}$

where,

a = initial term = 1,

r = common ratio = 2,

As we have find the number of days that would elapse before she has a total of more than 90 trillion, so

$\Rightarrow 90\times 10^{12}\le \dfrac{1(2^n-1)}{2-1}$

$\Rightarrow 90\times 10^{12}\le \dfrac{2^n-1}{1}$

$\Rightarrow 90\times 10^{12}\le 2^n-1$

$\Rightarrow 2^n\ge 90\times 10^{12}+1$

$\Rightarrow \log 2^n\ge \log (90\times 10^{12}+1)$

$\Rightarrow n\times \log 2\ge \log (90\times 10^{12}+1)$

$\Rightarrow n \ge \dfrac{\log (90\times 10^{12}+1)}{\log 2}$

$\Rightarrow n \ge 46.4$

$\Rightarrow n\approx 47$

8 0

3 years ago

The farmer down the street has an orchard with both orange and grapefruit trees. Over the weekend, she collected 49 oranges and

jeka57 [31]

Answer:

30 baskets

Step-by-step explanation:

Find the gfc of 150 and 240, you'll find that it is 30

6 0

3 years ago

What is a equivalent expression for -3(7+5g)

bogdanovich [222]

Answer:

= -21 - 15g

Step-by-step explanation:

Given that:

= -3(7+5g)

By simplifying

As "-" sign will invert the inner signs:

= -21 - 15g

I hope it will help you!!

6 0

3 years ago