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Kisachek [45]
3 years ago
11

Find the orthocenter for the triangle described by each set of vertices

Mathematics
1 answer:
swat323 years ago
6 0

Answer:

The answer to your question is:  O(10/3, -17/3)

Step-by-step explanation:

See the picture

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A drug used to relieve anxiety and nervousness has a half-life of 16 hours. if a doctor prescribes one 2.8-milligram every 24 ho
dlinn [17]

After 24 hours, 35.4% of the initial dosage remains on the body.

<h3>What percentage of the last dosage remains?</h3>

The exponential decay is written as:

f(x) = A*e^{-k*x}

Where A is the initial value, in this case 2.8mg.

k is the constant of decay, given by the logarithm of 2 over the half life, in this case, is:

k = ln(2)/16h

Replacing all that in the above formula, and evaluating in x = 24 hours we get:

f(24h) = 2.8mg*e^{-24h*ln(2)/16h} = 0.9899 mg

The percentage of the initial dosage that remains is:

P = \frac{0.9899mg}{2.8mg}*100\% = 35.4\%

If you want to learn more about exponential decays:

brainly.com/question/11464095

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8 0
2 years ago
Factor and solve the problems in the photo ……….. pleaseeeee help i haven’t done algebra in 2 years
vladimir1956 [14]

Answer:

30. 2x²-x-1=0

or, 2x²-2x+x-1=0

or, 2x(x-1)+1(x-1)=0

or, (x-1)(2x+1)=0

so, x-1 = 0 or, x = 1

and 2x+1 = 0 or, 2x = -1 or, x = -1/2

so, x = 1 and 1/2

31. 3x²-14x=5

or, 3x²-14x-5=0

or, 3x²-15x+x-5=0

or, 3x(x-5)+1(x-5)=0

or, (x-5)(3x+1)=0

so, x-5=0 or, x=5

and 3x+1=0 or, 3x=-1 or, x=-1/3

so, x = 5 and -1/3

Answered by GAUTHMATH

5 0
3 years ago
A computer rounded the number 129.257 to the nearest hundredth. What is this number rounded to the nearest hundredth
erma4kov [3.2K]

Answer:

129.26

Step-by-step explanation:

i think it's this i dont know i honestly forgot decimals

6 0
3 years ago
Read 2 more answers
Approximately how much principal would need to be placed into an account earning 1.58% interest compounded monthly so that it ha
Natalija [7]

Answer:

The initial investment is $821.58

Step-by-step explanation:

Giving the following information:

Future Value (FV)= $90,597

Number of periods (n)= 25*12= 300

Interest rate (i)= 1.58% = 0.0158

<u>To calculate the initial investment, we need to use the following present value (PV) formula:</u>

PV= FV/(1+i)^n

PV= 90,597 / (1.0158^300)

PV= $821.58

The initial investment is $821.58

5 0
3 years ago
It takes 41 minutes for 9 people to paint 9 walls. How many minutes does it take 14 people to paint 14 walls?
VikaD [51]
If each person is painting their own wall that means that it takes each person 41 minutes to paint their wall. That means it would take 41 minutes for 14 people to paint 14 walls.
5 0
3 years ago
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