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Degger [83]
1 year ago
13

Use complete sentences to describe the range of the sine function.

Mathematics
1 answer:
MA_775_DIABLO [31]1 year ago
3 0
The Range of a function is the set of all values that that function can take.

Given the sine function f(x)=sinx,

This function is the function which calculates the sine of the values of x.

According to the definition of the sine of an angle x in the unit circle, 

-1 \leq sinx \leq 1,

so the sine of an angle is always larger or equal to -1, and smaller or equal to 1.

This means that the values that the sine function takes are any values between -1 and 1, inclusive.

This determines the Range of the sine function. 

So the Range of the sine function is [-1, 1]
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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 = 24.39mL

24.39mL of the solution would be given per hour.

7 0
1 year ago
50% of all the cakes Lucy bakes that week were party cakes 1-5 fruit cakes and remainder were sponge cakes what percentage of ca
Stells [14]

30% were sponge cakes because you do 1/5=0.2 or20%+50%=70% and 100%-70%=30% so 30% is your answer.
4 0
1 year ago
Lionel is planning a one-day outing.
pychu [463]

Answer:

Option B - y=5x+40 and  y=3x+60

Step-by-step explanation:

Given : The Thrill amusement park charges an entry fee of $40 and an additional $5 per ride, x. The Splash water park charges an entry fee of $60 and an additional $3 per ride, x.

To find : Which system of equations could be used to determine the solution where the cost per ride of the two amusement parks, y, is the same?

Solution :

Let x be the number of rides and

y be the cost per ride.

According to question,

The Thrill amusement park charges an entry fee of $40 and an additional $5 per ride.

The equation form is y=40+5x

The Splash water park charges an entry fee of $60 and an additional $3 per ride.

The equation form is y=60+3x

Therefore, The required system of equations form are

y=5x+40 and  y=3x+60

So,Option B is correct.

6 0
2 years ago
Read 2 more answers
What is not a pair of equivalent fractions for 5/8 and 1/2
n200080 [17]
Two fractions equivalent to each: Just divide or multiply both top AND bottom by the same number.<span>
5/6: 10/12 OR 15/18 
15/30: 5/10 OR 1/2 
45/60: 8/12 OR 4/6 

Rewrite each pair or fractions with common denominator: Find the difference between the two bottom numbers, and multiply top and bottom number. 

5/8 and 3/4: 4X2=8, 3X2=6. So, 5/8 and 6/8. 
2/5 and 1/2: 2/5 and 2.5/5 
9/9 and 5/7: 9/9 and ~5.7/9 

Rewrite each in simple form: Find greatest common factor and divide. 

9/54: 1/6 
20/40: 1/2 
100/110: 10/11 

Are these fractions equivalent? 
No. 5/1 and 5/5 are, because they are both 5 wholes. 1/5 is not because it is a fifth of a whole. 


In what situation can you use multiplication to find equivalent fractions? 
I'm sorry but I do not understand this question. 
</span>Source(s):<span>I hope I  helped, seeing as I have graduated with a math degree.</span>
7 0
1 year ago
Kristina's work is 2.625 miles from her house. She bikes to and from work every day, 5 days a week. How many miles does she bike
taurus [48]

She bikes 761.25 miles in all to and from her job in 29 weeks.

Step-by-step explanation:

Distance from her house = 2.625 miles

As this is the distance of one side, she covers same distance for coming back.

Total distance for one day = 2.625 + 2.625 = 5.25 miles

She goes to work for 5 days per week.

29 weeks = 29*5 = 145\ days

Total distance covered in 29 weeks;

Total distance = Distance for one day * Days in 29 weeks

Total\ distance=5.25*145=761.25\ miles

She bikes 761.25 miles in all to and from her job in 29 weeks.

Keywords: multiplication, distance

Learn more about multiplication at:

  • brainly.com/question/1087090
  • brainly.com/question/1096947

#LearnwithBrainly

6 0
1 year ago
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