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3 years ago

Write the first five terms of a numerical pattern that begins with 5 and then adds 6

1 answer:

7 0

This pattern forms an arithmetic sequence with the first term $a_1=5$ . The difference between two consecutive terms of this sequence is 6. The rule to calculate the other term of the sequence is is to add 6 to the previous term. This can be archived as shown in the calculations below,

$a_2=a_0+6=5+6=11\\\\a_3=a_2+6=11+6=17\\\\a_4=a_3+6=17+6=23\\\\a_5=a_4+6=23+6=29$

The first terms of this sequence are 5, 11, 17, 23,29.

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When doctors prescribe medicine, they must consider how the drug’s effectiveness declines as time passes. If each hour a drug is

Dima020 [189]

Answer:

The total time for the initial dose of 500 mg to reach a level of 150 mg is approximately 11 hours and 27 minutes

Step-by-step explanation:

Initial dose = 500 mg

Let's calculate the effectiveness of the drug hour by hour, this way:

After 1 hour: 90% of 500 = 450 mg

After 2 hours: 90% of 450 = 405 mg

After 3 hours: 90% of 405 = 364.5 mg

After 4 hours: 90% of 364.5 = 328.05 mg

After 5 hours: 90% of 328.05 = 295.25 mg

After 6 hours: 90% of 295.25 = 265.73 mg

After 7 hours: 90% of 265.73 = 239.16 mg

After 8 hours: 90% of 239.16 = 215.24 mg

After 9 hours: 90% of 215.24 = 193.72 mg

After 10 hours: 90% of 193.72 = 174.35 mg

After 11 hours: 90% of 174.35 = 156.92 mg

After 12 hours: 90% of 156.92 = 141.23 mg

Difference between 11 and 12 hours: 156.92 - 141.23 = 15.7 mg

Difference per minute between 11 and 12 hours: 15.7/60 = 0.262 mg

Time to reach a level of 150 mg in minutes after 11 hours = (156.92-150)/0.262

Time to reach a level of 150 mg in minutes after 11 hours = 26.4

The total time for the initial dose of 500 mg to reach a level of 150 mg is approximately 11 hours and 27 minutes

4 0

3 years ago

Help....................

Nonamiya [84]

Answer:

Concave

I hope this helps!

3 0

3 years ago

The placebo effect is an example of a(n) experimenter bias. participant bias. random assignment bias. random selection bias.

densk [106]

Answer:

participant bias

Step-by-step explanation:

Participant bias is sometimes called as subject bias. it is referred to as the tendency of a subject that forces them to act in an experiment. it is held because that they think researchers is looking up to them to act. it occurs only when the subject has detail knowledge about the study or project.

Participant bias is a subject initiative to know about the inner thought of the researcher so the subject acts according to what the researcher wants to hear.

4 0

3 years ago

Kelly blends coffee. She mixes brand A costing $6 per kilogram with brand B costing $8 per kilogram. How many kilograms of each

sukhopar [10]

Step-by-step explanation:

Let

be the kg of coffee of brand A in the mix and

be the kg of coffee of brand B in the mix.

The total kg must be

The cost per kg of the mix must br

7.20

. For this, the total cost of the mix will be

, so the total cost per kg of the mix will be

7.20

Now that we have our two equations, we can solve.

7.20

⋅

360

From the first equation, we can multiply both sides by

to get:

300

Subtracting, we get:

Thus, we need

kg of brand B in our mix. This means that

−

kg will be of brand A.

6 0

3 years ago

1. a. Write the six trigonometric ratios for the given angle with measure 0

trasher [3.6K]

Answer:

Sin 5/13

Cos 12/13

Tan 5/12

Csc 13/5

Sec 13/12

Cot 12/5

Step-by-step explanation:

4 0

3 years ago