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Ratling [72]
3 years ago
7

Find X using the Pythagorean Theorem

Mathematics
1 answer:
Natalija [7]3 years ago
8 0

Answer:

x = 4.47

Step-by-step explanation:

Formula for hypotenuse:

x =\sqrt{a^2+b^2}

x=\sqrt{4^2+2^2}

x=\sqrt{16+4}

x=\sqrt{20}

x=4.47

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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
Sliva [168]

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.

3 0
3 years ago
Someone please help, having trouble with this
Dennis_Churaev [7]

Answer:

C

Step-by-step explanation:

it describes how much the shown graph extends left and right.

Note that 4 is included, but -2 itself not. that's why it's empty and A isn't correct.

B and D are completely inapplicable

pls brainliest

8 0
3 years ago
Ethan spends 4 dimes on a plastic crab and then Sophia buys a pink flamingo pen for 1 quarter how much money do they spend in al
slega [8]

Answer:

10+10+10+10+25= 65 cents

5 0
2 years ago
You are researching two glaciers.the first glacier flows at a rate of 75 meters in 3 days.the second glacier flows at a rate of
podryga [215]

Answer:

1.3\ days

Step-by-step explanation:

step 1

Find the units rate of the first glacier

\frac{75}{3}=25\frac{meters}{day}

using proportion  

\frac{25}{1}\frac{meters}{day}=\frac{200}{x}\frac{meters}{days}\\ \\x=200/25\\ \\x=8\ days

step 2

Find the units rate of the second glacier

\frac{107.5}{5}=21.5\frac{meters}{day}

using proportion  

\frac{21.5}{1}\frac{meters}{day}=\frac{200}{x}\frac{meters}{days}\\ \\x=200/21.5\\ \\x=9.3\ days

step 3

Find the difference

9.3\ days-8\ days=1.3\ days

4 0
2 years ago
What is 7.13×10 to the fifth power in standard form
horrorfan [7]
713000 is your answer
4 0
3 years ago
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