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2 years ago

Choose 2 axioms that allows 22 + (m + 8) to be written as m + 30

Mathematics

2 answers:

Hitman42 [59]2 years ago

3 0

commutative for addition

22+(m+8)=(m+8)+22 then associative (m+8)+22=m+(8+22) =m+30

Katyanochek1 [597]2 years ago

3 0

Answer:

commutative - addition

associative - addition

Step-by-step explanation:

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Carlos has taken an initial dose of a prescription medication.

Marat540 [252]

Answer:

3.48 hours

Step-by-step explanation:

The equation is:

$M(t)=20 e^{-0.86t}$

Where

M(t) is the amount of medication remaining in mg

t is the time it takes, in hours

The questions asks HOW LONG it will take to make the remaining medication to 1 milligrams (1 mg)??

We have to substitute M(t) with "1" and find the corresponding value of "t". We will use natural log to solve this. Shown below:

$M(t)=20e^{-0.86t}\\1=20e^{-0.86t}\\0.05=e^{-0.86t}\\Ln(0.05)=Ln(e^{-0.86t})\\Ln(0.05)=(-0.86t)Ln(e)\\t=\frac{Ln(0.05)}{-0.86}\\t=3.48$

Note: Ln(e) = 1

This means, the amount of time it will take is about 3.48 hours

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2 years ago

What is the sum of 4 3/10 and (-6.2)

erastovalidia [21]

Answer:

-1.9

Step-by-step explanation:

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1 year ago

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2 years ago

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How many numbers of the set {1, 2, 3, 4, . . . , 297, 298, 299, 300} are multiples of 10 but not multiples of 15?

slega [8]

Answer:

I get 20

Step-by-step explanation:

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screenshot below

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A cylinder and cone have the same height and radius. The height of each is 5 cm, and the radius is 2 cm. Calculate the volume of

never [62]

Answer:

The volume of a cylinder is 62.8 cm and the volume of a cone is 20.9 cm³ .

Step-by-step explanation:

Formula

$Volume\ of\ a\ cylinder = \pi r^{2} h$

$Volume\ of\ a\ cone = \pi r^{2} \frac{h}{3}$

Where r is the radius and h is the height .

As given

A cylinder and cone have the same height and radius. The height of each is 5 cm, and the radius is 2 cm.

$\pi = 3.14$

Thus

$Volume\ of\ a\ cylinder =3.14\times 5\times 2\times 2$

= 62.8 cm³

Thus the volume of a cylinder is 62.8 cm³ .

$Volume\ of\ a\ cone = 3.14\times 2\times 2\times frac{5}{3}$

$Volume\ of\ a\ cone =\frac{5\times 3.14\times 2\times 2}{3}$

$Volume\ of\ a\ cone =\frac{62.8}{3}$

= 20.9 (Approx) cm³

Thus the volume of a cone is 20.9 cm³ .

Therefore the volume of a cylinder is 62.8 cm and the volume of a cone is 20.9 cm³ .

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