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Elanso [62]
3 years ago
13

A box is to be constructed with a rectangular base and a height of h cm. the length, l, of the box is 10 cm, and the width, w, i

s twice the height. which quadratic equation best models the volume of the box?
Mathematics
1 answer:
vivado [14]3 years ago
5 0
There are several information's already given in the question. based on those information's, the answer can be easily determined.
Height of the box = h cm
Length of the box = 10 cm
Width of the box = 2h
Then
Volume of the box = Length * height * width
                              = 10 * h * 2h cubic cm
                              = 20h^2 cm^3
I hope that the above procedure is clear enough for you to understand and it has actually come to your desired help.
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If matrix A has dimensions 3 x 2 and matrix B has dimensions 3 x 2, can matrix A and matrix B be multiplied?
Charra [1.4K]
Matrix A has 3 rows, 2 columns
Matrix B has 3 rows, 2 columns

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So the matrix multiplication A*B is undefined. We cannot multiply the matrices.
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Easy Cooking is a cooking supply company. Last year, the company sold 24,620 ovens. This year, they sold 20% more ovens than tha
kvv77 [185]

Answer:

The correct answer is D- 29,544 ovens

Step-by-step explanation:

To find the answer, we simply need to find 20% of 24,620 ovens and add it to that sum. To find 20% of 24,620, we can simply multiply 24,620 by .2.

24,620*.2=4924

Then, add the extra 4924 to 24,620

4924+24620=29544

The correct answer is 29,544 ovens

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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!!!

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PLEASE HELP IS IT YVES?
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The answer is B. Carlos worked two hours and earned $20
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