Simplify the expression: sin(7x/3)cos(5x/2)

If an intravenous solution containing 123 mg of a drug substance in each 250-mL bottle is to be administered at the rate of 200

12345 [234]

Answer:

24.39mL of the solution would be given per hour.

Step-by-step explanation:

This problem can be solved by direct rule of three, in which there are a direct relationship between the measures, which means that the rule of three is a cross multiplication.

The first step to solve this problem is to see how many mg of the solution is administered per hour.

Each minute, 200 ug are administered. 1mg has 1000ug, so

1mg - 1000 ug

xmg - 200 ug

$1000x = 200$

$x = \frac{200}{1000}$

$x = 0.2mg$

In each minute, 0.2 mg are administered. Each hour has 60 minutes. How many mg are administered in 60 minutes?

1 minute - 0.2 mg

60 minutes - x mg

$x = 60*0.2$

$x = 12mg$

In an hour, 12 mg of the drug is administered. In 250 mL, there is 123 mg of the drug. How many ml are there in 12 mg of the drug.

123mg - 250mL

12 mg - xmL

$123x = 250*12$

$x = \frac{250*12}{123}$

$x = 24.39$ mL

24.39mL of the solution would be given per hour.

7 0

1 year ago

Two pence coins are used to make a square. If one millioncoins were used, what would be the length of the sides of the square?

Slav-nsk [51]

Answer:

i dont know the answer

Step-by-step explanation:

just put a random answer and hope for the best

7 0

2 years ago

The graph represents function 1, and the equation represents function 2: A coordinate plane graph is shown. A horizontal line is

vladimir2022 [97]

Answer:

A

Step-by-step explanation:

5 0

2 years ago

A mattress store sold 1,330 mattresses in one year. If 30% of the mattresses sold were king size mattresses, how many king size

kodGreya [7K]

The total number of mattresses that are sold in a year = 1,330

Percentage of King size mattresses sold = 30% = 30/100 = 0.3

Next, we have to calculate the actual number sold by using the formula given below:

Number of king size mattresses sold = Total mattresses sold in a year * percentage of king size mattresses sold

Number of King Size mattresses sold = 1,330*0.3 = 399

Number of king size mattresses sold = 399

3 0

2 years ago

Read 2 more answers

g In a survey of 500 residents, 300 were opposed to the use of the photo-cop for issuing traffic tickets.The standard error of t

Evgesh-ka [11]

Answer:

Z-score 1.96

Margin of error d= 0.04323

Step-by-step explanation:

Hello!

The study variable in this case is

X: Number of people that oppose the use of photo-cop for issuing traffic tickets in a sample of 500.

n= 500

The parameter of interest is the proportion of people that opposes it.

The estimated proportion is p'= 300/500= 0.6

To estimate the population proportion per Confidence interval you have to approximate the distribution of the sample proportion p' to normal:

p'≈N(p;p(1-p)1/n)

The mean of this distribution is p and the variance is p*(1-p)*1/n

To construct the Confidence interval, since the value of the population proportion is unknown, an estimated variance is used:

p'(1-p')*1/n ⇒ then the estimated standard error is √(p'(1-p')*1/n)

The formula for the confidence interval is:

p' ± $Z_{1-\alpha /2}$ * $\sqrt{\frac{p'(1-p')}{n} }$

Where " $Z_{1-\alpha /2}$ * $\sqrt{\frac{p'(1-p')}{n} }$ " represents the margin of error of the interval.

Now for a confidence level of 0.95 the value of Z is $Z_{0.975}= 1.965$

The estimated standard error is already calculated: $\sqrt{\frac{p'(1-p')}{n} } = 0.022$

The margin of error (d) is then:

d= $Z_{1-\alpha /2}$ * $\sqrt{\frac{p'(1-p')}{n} }$ = 1.965 * 0.022

d= 0.04323

I hope it helps!

7 0

1 year ago

Simplify the expression: sin(7x/3)cos(5x/2) - cos(7x/3)sin(5x/2)