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WARRIOR [948]
3 years ago
5

Use double angle to rewrite 12sinxcosx

Mathematics
1 answer:
castortr0y [4]3 years ago
3 0
Sin2x = 2 sinx cosx
so 12 sinx cosx =   6 sin2x Answer
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The antibiotic clarithromycin is eliminated from the body according to the formula A(t) = 500e−0.1386t, where A is the amount re
PolarNik [594]

Answer:

Time(t) = 11.61 hours (Rounded to two decimal place)

Step-by-step explanation:

Given: The antibiotic  clarithromycin is eliminated from the body according to the formula:

A(t) = 500e^{-0.1386t}                 ......[1]

where;

A - Amount remaining in the body(in milligram)

t - time in hours after the drug reaches peak concentration.

Given: Amount of drug in the body is reduced to 100 milligrams.

then,

Substitute the value of A = 100 milligrams in [1] we get;

100= 500e^{-0.1386t}

Divide both sides by 500 we get;

\frac{100}{500}=\frac{ 500e^{-0.1386t}}{500}

Simplify:

\frac{1}{5} = e^{-0.1386t}

Taking logarithm both sides with base e, then we have;

\log_e (\frac{1}{5})= \log_e (e^{-0.1386t})

\log_e (\frac{1}{5})=-0.1386t         [ Using \log_e e^a =a ]

or

\log_e (0.2)=-0.1386t

-1.6094379124341 = -0.1386t

 [using value of \log_e (0.2) = -1.6094379124341 ]

then;

t = \frac{-1.6094379124341}{-0.1386}

Simplify:

t ≈11.61 hours.

Therefore, the time 11.61 hours(Rounded two decimal place) will pass before the amount of drug in the body is reduced to 100 milligrams


6 0
3 years ago
Loretta grew 54 watermelons in her garden last year. This year, that number increased by 5/9. Which expression shows the number
Mars2501 [29]

Answer:

54+\frac{5}{9}\times 54

Step-by-step explanation:

We are given that

Loretta grew  watermelons in her garden last year=54

We have to find the expression which shows the number of watermelons Loretta grew this year.

To find the expression which shows the  number of watermelons Loretta grew this year by adding watermelons grew in her garden last year and number of watermelons increased .

According to question

5/9 of 54=\frac{5}{9}\times 54

Therefore, the expression which shows the  number of watermelons Loretta grew this year

=54+\frac{5}{9}\times 54

6 0
3 years ago
Britany has a bag with 2 mint sticks, 4 jelly treats, and 14 fruit tart chews. If she eats one piece every 9 minutes, what is th
zheka24 [161]
That "9 minutes" doesn't affect the outcome!

How many pieces of candy are in the bag at the beginning?  How many of those are "fruit tart chews?"  Write a fraction involving these 2 counts.  Remember that Britany immediately eats what she draws from the bag, so the 2nd time around, there are only 19 pieces, not 20.  What is the prob. that she will pick a jelly treat on her second draw?
Because these experiments are independent, you can find the joint probability by multiplying the 2 probabilities together.  Please show your work.
3 0
3 years ago
Which of the following are one-dimensional and have infinite length?
Alona [7]
Out of the choices, the entities with only one dimension and have infinite length are the line and ray. The line extends to both sides while the ray is restricted by an endpoint on one side but can extend infinitely to the other side. The answers are therefore letter D and F. 
4 0
3 years ago
Read 2 more answers
5.3.PS-/<br> Simplify the expression.<br> -<br> -2.8f + 0.8f – 16 - 9
bezimeni [28]
=-2f-25 is your answer
8 0
3 years ago
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