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olganol [36]
4 years ago
10

What 's the radius of a circle with an area of 64 square feet

Mathematics
1 answer:
SVEN [57.7K]4 years ago
6 0

Answer:

5.09 ft

Step-by-step explanation:

Use the formula 4πr^2 = 64

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Suppose 4 mg of a drug is injected into a person's bloodstream. As the drug is metabolized, the quantity diminishes at the conti
Brut [27]
Let Q(t) = the mass (mg) remaining after t hours.
We are told that Q diminishes by 3% every hour.

When t = 0, Q = 4 mg
When t = 1,  Q = 4*0.97 mg
When t = 2, Q = 4*(0.97)² mg

By induction,
Q(t) = 4 (0.97)^{t} \, mg

Q'(t) = 0.97Q
Therefore the rate of decrease is 3% per hour.

The person receives an additional dosage when Q falls to 0.50 mg. This happens when
4(0.97)^{t}=0.5 \\0.97^{t} = 0.125 \\ t \,ln(0.97) = ln(0.125) \\ t =  \frac{ln(0.125)}{ln(0.97)} =68.27 \, hrs

After the second injection, the mass is now 4.5 mg. Therefore
Q(t)=4.5(0.97)^{t}

When the mass again reaches 0.50 mg, then
4.5(0.97)^{t}=0.5 \\ 0.97^{t}=0.1111 \\ t \, ln(0.97) = ln(0.1111) \\ t = 72.14 \, hrs

Answers: 
(a) Q(t) = 4(0.97)^{t}
(b) 3% per hour
(c) 68.3 hours
(d) 72.1 hours

3 0
3 years ago
Can someone help me
Mashcka [7]

Answer:

whois someone? OH ! Right, That dude named Some Won . Sorry.. i'll let him answer.

Step-by-step explanation:

8 0
3 years ago
Perform the following operation
Cerrena [4.2K]

Answer:

When you multiply an odd number of negatives you get a negative result. When you multiply an even number of negatives you get a positive result.

First, multiply normally.

25x10x5

1100

Then determine whether the sign is positive or negative. Since there is an odd number of negatives, the sign is negative.

So, the answer is -1100.

:)

7 0
3 years ago
(w- 4/9) (-2/3) = -4/5 <br><br> Solve for w
Kaylis [27]

<u>exact form:</u>

w= 74/45

<u>decimal form:</u>

w= 1.64

<u>mixed number:</u>

w= 1 29/45

brainliest would be appreciated :)

4 0
3 years ago
Read 2 more answers
Help me with this I need help asap!
GuDViN [60]

Answer:

29.5

Step-by-step explanation:

UV=\frac{27+32}{2} \\ \\ UV=29.5

3 0
1 year ago
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