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3 years ago

Determine the general solution: sin 2x=-1/2

1 answer:

8 0

as sin (11pi/6) = -1/2

so

2x= 7pi/6+2npi
and

2x= 11pi/6 + 2npi

solve both of them for x and you will get your answer

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5^2•3^-1•5^-3/3^4•5^-1•3^-3

puteri [66]

Assuming you want the expression to be simplified.

We begin with the following:

$5^{2} * 3^{-1} * \frac{5^-3}{3^{4}} * 5^{-1} * 3^{-3}$

Simplify the first part, $5^{2}$ . That is 25. Now we have this:

$25*3^{-1.5} * \frac{-3}{3^{4}} * 5^{-1} * 3^{-3}$

Next, simplify $3^{-1}$ , which is 1/3, and get this:

$25* 1/3 * \frac{-3}{3^{4}} * 5^{-1} * 3^{-3}$

The next part is $\frac{5^-3}{3^{4}}$ . Simplify the denominator, $3^{4}$ , which is 81. Simplify the numerator, which is 1/125. Then divide 1/125 by 81, which we will keep as a fraction for simplicity's sake, but simplify it to $\frac{1}{10125}$ . Now we have:

$25* 1/3 * \frac{1}{10125} * 5^{-1} * 3^{-3}$

Now simplify $5^{-1}$ , which is 0.2, or 1/5. Now we have:

$25* 1/3 * \frac{1}{10125} * 0.2 * 3^{-3}$

Finally, simplify $3^{-3}$ . That is 1/27. We have:

$25* 1/3 * \frac{1}{10125} * 0.2 * 1/27$

Lastly, multiply them all together! Now we are done, with the product of:

$\frac{1}{6075}$

That certainly did take a while to type in all the LaTex, so I really hope that helped!

Note- if anything isn't working with the LaTex, just tell me and I'll fix it! (:

3 0

2 years ago

Which is an exponential decay function?

spayn [35]

Answer:

c)3/2(8/7)^x

Step-by-step explanation:

Evaluate the functions.

1. Because 7/4 > 1 and the exponent is positive,

the function does not decay.

2.Because 4/5 < 1 and the exponent is negative,

the function does not decay.

3. Because 8/7 > 1 and the exponent is negative,

the function decays.

4. Because 9/2 > 1 and the exponent is positive,

the function does not decay.

A composite plot the functions verifies the answer.

If all the x's are exponents, then 3/2 (8/7)^-x is the only one that decays as x gets bigger. That's because the base is greater than 1 and the x is negative.

please mark me brainliest :)

5 0

3 years ago

A class of 30 swim team members took a lifesaving test. Eighteen of the members had an average score of 92 points. The remaining

inysia [295]

Answer:

88.8%

Step-by-step explanation:

1.) 30-18= 12 which is the number of member that had an average of 84

2.)Then multiply 12 times 84 = 1008

3.) You multiply 18 by 92 which equals 1656

4.)Add 1008 and 1656 together and get 2664.

5.)Divide 2664 / 30 and you get the average of 88.8

Hope this helps :)

plz brainly & like

8 0

3 years ago

Read 2 more answers

The price of a stock decreased $2 per day for four consecutive days. What was the total change in value of the stock over the fo

Elena L [17]

It changes by 2 for four days, so it's -$8

6 0

3 years ago

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Your car's back window is in the shape of a trapezoid with the dimensions shown. The 1616-inch window wiper cleans a part of the

ExtremeBDS [4]

Semicircle area = circle area / 2 = (pi*r^2)/2 16 in is the radius. Let's call the area of this semicircle s. 3.14*16^2=s

Trapezoid area = ((base 1 + base 2) / 2) * h Here, base 1 is 44 and base 2 is 36. The height (h) is 20. Let's call this trapezoid's area t. (44+36)/2 *20 = t

We can remove the area of the semicircle (that created by the windshield wiper) by subtracting it from the area of the trapezoid. t - s = uncleaned area [(44+36)/2 * 20] - [3.14 * 16^2] = uncleaned area

5 0

2 years ago

Read 2 more answers