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3 years ago

Help me !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Mathematics

2 answers:

Goshia [24]3 years ago

6 0

Answer = -3/2

Explanation:

Slope = rise/run

Rise = vertical
Run= horizontal

The slope is negative because it goes from right to left.

astraxan [27]3 years ago

5 0

-32 I believe I am so pretty

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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

3 years ago

Need help with my Geometry, can someone help me with 4,5 and 10?

xz_007 [3.2K]

For questions 4 and 5, use laws of complementary and supplementary angles to find values of x. I'm not too sure about what question 10 is asking.

Hope I helped :)

6 0

3 years ago

Read 2 more answers

What is the value of -3|15 - s| + 2s3 when's = -3

slamgirl [31]

-3|15 - s| + 2s^3 when s = -3 is
-3|15 - (-3)| + 2(-3)^3 = -3|15 + 3| + 2(-27) = -3|18| + (-54) = -3(18) - 54 = -54 - 54 = -108

6 0

3 years ago

Solve this problem please

nika2105 [10]

Hi, Ptaverez1! :)

First we must length of an individual square; This can be achieved by using the formula for the area of a square:
$l^2$
$l=Length$

Lets input the information we already know:
$l^2=42.25$
Take square root.
$l=\sqrt42.25$
$l=6.5$

The length of an individual square tile is 6.5 ft.

Since they're are 9 tiles and the porch in a square, I can conclude that the measurements for the porch are 3 tiles by 3 tiles (as 3*3=9; using the formula for the area of a square.)

Since the length of the porch is 3 tiles, we must multiply the individual tiles piece length by 3:
$3*6.5$
$=19.5$

The formula for the perimeter of a square is:
$l*4$
$l=length$

Lets input the information we know:
$19.5*4$
$=78$

The perimeter of the porch is 78 feet²

Hope this helps.
-Benjamin

8 0

3 years ago

A pack of cinnamon-scented pencils sells for $6.00. What is the sales tax rate if the total cost of the pencils is $6.48?

snow_tiger [21]

$6.48- $6.00= $.48
.48÷ 6.0= 0.08
0.08 = 8%
tax rate is 8%

6 0

3 years ago