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Rina8888 [55]
3 years ago
7

What is the slope and y-intercept of (0,8) (1,10) (2,12) (3,14) (4,16) (5,18)

Mathematics
1 answer:
Anna71 [15]3 years ago
4 0
To get slope use

y2 - y1 / x2 - x1

10 - 8 / 1 - 0 = 2/1 = 2

Slope = 2

The y-intercept is the coordinate point that has 0 as the x value.

(0, 8) is the y-intercept.
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A small combination lock on a suitcase has 3
snow_tiger [21]
Arangement is imoprtatnt

10*10*10=1000 is answer
6 0
3 years ago
What would an 18% increase of 90 be?
madam [21]

Answer:

106.2

Step-by-step explanation:

A 18% increase of a number is the same as multiplying it by 1.18.

If we multiply 90 by 1.18 we get:

90 * 1.18

106.2

8 0
2 years ago
Read 2 more answers
3. A toy car is traveling with a velocity of 4 m/s and has a mass of 1120g. What is the car's
adell [148]
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5 0
3 years ago
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
What is 5/10 + 2/10 ?
Daniel [21]

Step-by-step explanation:

5/10+2/10

7/10

0.7

................

4 0
3 years ago
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