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Charra [1.4K]
2 years ago
14

DOES the given value make the inequalities true? x + 9 > 21, when x = 15?

Mathematics
2 answers:
Kobotan [32]2 years ago
7 0

Answer:

Yes.

Step-by-step explanation:

When x=15,

x+9=15+9=24 > 21.

r-ruslan [8.4K]2 years ago
6 0

Answer:

Yes this is true

Step-by-step explanation:

24 is greater than 21; which means this statement is always true.

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For selected years, the national health care expenditure, in billion of dollors can be modelled by H=29.57e^0.0970t, remains acu
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Answer:

The correct answer is 54.76 years.

Step-by-step explanation:

The national health care expenditure (H) , in billion of dollars is modeled by

H = 29.57 × e^{0.0970t}.

To measure the time before which national health expenditure reach 6000 billion dollars.

Thus putting the value of H = 6000 in the above modeled equation we get,

⇒ 6000 = 29.57 × e^{0.0970t}

⇒ \frac{6000}{29.57} = e^{0.0970t}

⇒ 202.908 = e^{0.0970t}

Taking logarithm with the base of e (㏑) both sides we get,

⇒ ㏑ 202.908 = ㏑ e^{0.0970t}

⇒ ㏑ 202.908 = 0.0970 × t

⇒ 0.0970 × t = 5.312

⇒ t = \frac{5.312}{0.0970}

⇒ t = 54.76.

Thus the total time required before which national health expenditure reach 6000 billion dollars is 54.76 years.

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3 years ago
Write the equation of a line that contains (2,−2) and perpendicular to another line with slope −1. (20 POINTS)
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Answer:

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Step-by-step explanation:

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