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kkurt [141]
3 years ago
6

Find the area of the triangle below. Be sure to include the correct unit in your answer. 15cm 7cm 21cm

Mathematics
1 answer:
Vlada [557]3 years ago
3 0

Answer:

the area of the triangle is 31.831cm

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Why is 7.8 an irrational number?
andreyandreev [35.5K]
Its 78/10 = 39/5
Hope it helps :)
6 0
3 years ago
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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
PLEASE HELP !!!!!!! For what value of x is line m parallel to line n? Enter your answer in the box. x = Line m is parallel to li
Sonja [21]

Answer:

x=10

Step-by-step explanation:

we know that

When two lines are crossed by another line (transversal), the angles in matching corners are called Corresponding Angles.

When the line are parallel the corresponding angles are equal in measurement.

so

In this problem

(8x+50)\°=130\° -----> by corresponding angles

see the attached figure to better understand the problem

Solve for x

Subtract 50 both sides

8x=130-50

8x=80

Divide by 8 both sides

x=80/8

x=10

7 0
3 years ago
How do i solve this because I need some help. I'm studying for my test.
mote1985 [20]
At Gino's you pay $16 plus $8 per pizza.
At Venetian's you pay $24 plus $6 per pizza.
Let the number of pizzas be x.

At Gino's you pay 16 + 8x
At Venetian's you pay 24 + 6x

Set the two costs equal and solve for x to find out the number of pizzas for which both costs are the same.

16 + 8x = 24 + 6x
16 + 2x = 24
2x = 8
x = 4
Each place gives you a free pizza.
4 pizzas plus the free pizza equals 5 pizzas.

If you need 5 pizzas (including the free one), both parlors cost the same.

If you need fewer than 5 pizzas, use Gino's.
If you need more than 5 pizzas, use Venetian's.
7 0
3 years ago
What is (-8) third power
Aleks04 [339]

-512.

Type negative 8 to the third power in google. It really is the answer. :)

6 0
3 years ago
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