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2 years ago

Whats the answer to 7x10¹=7x10=

Mathematics

1 answer:

tekilochka [14]2 years ago

7 0

The answer to 7×10 is 70. Multiplication is fast adding. For example, 10+10+10+10+10+10+10=70

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Suppose that you take 120 mg of an antibiotic every 4 hr. The half-life of the drug is 4 hr (the time it takes for half of the

vodomira [7]

Answer:

The steady state amount of antibiotic in the bloodstream when t --> ∞ is 240 mg.

Step-by-step explanation:

Let the amount of antibiotic in one's bloodstream be given as Aₙ (where n = the number of half lives since the start of usage)

Let's follow the time line of events.

At t = 0 hr, the drug is taken

A₀ = 120 mg

At t = 4 hrs, n = 1, the drug is taken again

A₁ = (0.5×A₀) + 120

A₁ = (0.5×120) + 120 = 180 mg

At t = 8 hrs, n = 2, the drug is taken again,

A₂ = (0.5×A₁) + 120

A₂ = (0.5×180) + 120 = 210 mg

At t = 12 hrs, n = 3, the drug is taken again

A₃ = (0.5×A₂) + 120

A₃ = (0.5×210) + 120 = 225 mg

At this point, it becomes evident that at t = 4n hrs, n = n i.e. n half lives later, the general formula for the amount of the antibiotic in the bloodstream is

Aₙ = 0.5Aₙ₋₁ + 120

where Aₙ₋₁ = The amount of antibiotic in the bloodstream at the time t = 4(n-1) and (n-1) half lives later.

For infinite series, that are increasing in this order, as the value of n --> ∞,

Aₙ = Aₙ₋₁ = K

And our general formula becomes

K = 0.5K + 120

0.5K = 120

K = (120/0.5)

K = 240 mg

Hence, the steady state amount of antibiotic in the bloodstream when t --> ∞ is 240 mg.

Hope this Helps!!!

5 0

2 years ago

FIRST CORRECT ANSWER WILL GET BRAINLIEST

ivanzaharov [21]

Answer:

The y intercept is the point at which a line crosses the y axis. In the graph the y axis is crossed at 0, 2 or just 2

Step-by-step explanation:

5 0

2 years ago

Please help me with this question :)

klio [65]

Answer:

y>5/6

Step-by-step explanation:

5y+3>-7y+13

5y+7y>13-3

12y/12>10/12

y>5/6

This is an inequality, which shows where the variable y does or does not exist

from this we can say

y: (-infinity,5/6) (5/6, infinity]

or, y does not exist from (-infinity,5/6)

and does exist from (5/6, infinity]

3 0

1 year ago

1. Given the following relation, determine the inverse relation.

gayaneshka [121]

Answer:

1. a

2. $f^{-1} (x)=\frac{x}{2} +2$

Step-by-step explanation:

1. Since there is one value of y for every value of x in (−1,0),(−4,5),(3,2),(−3,5), this relation is a function.

2. To find the inverse, interchange the variables and solve for y.

$f^{-1} (x)=\frac{x}{2} +2$

5 0

1 year ago

Part 1: About how tall is the actual Willis Tower? About how tall is the actual Great Pyramid? Be prepared to explain your reaso

lesantik [10]

100 m and 300 m based off the graph the Willis is 3x the size of the great Pyramid

3 0

9 months ago