A scientist determines that an antibiotic reduces a population of 20,000 bacteria to 5,000 in 24 hours. Findthe rate of decline caused by the antibiotic.
Answers
Answer:
5.8%
Step-by-step explanation:
H= 1/r (in P - in A)
H=24
P=2000
A=5000
24= 1/r (in2000 - in5000)
24r = in 2000 - in 5000
r = in 2000 - in 5000
_________________
24 r
= 05 .7762265
= 5.8 %
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Write an equation of the line that passes through the points (3,6) and (4,10) using function notation. A.) f(x) = 4x - 6 B.) f(x) = x + 4 C.) y = x + 4 D.) y = 4x - 6
To subtract two rational expressions that have a common denominator, you simply _____ the numerators.
\[ y=\sqrt{x} \]
\[y= \sqrt{x+3} \]
Answers
Firstly we have to determine the domain of the function
The domain of the function is the set of values for which the function is real and defined.
In the function we can clearly observe that for the negative values of x , the value of y will not be real.
So, the domain for this function is or
.
The second function is
In this function we can clearly observe that for the values of x less than -3, the function is not real.
So, the domain for this function is or
As we know, the square root of negative numbers.
Hence, the x must be a positive value and greater than 0.
So, x:x∈[0,∞)
subtracting 3 from both sides
x:x∈[-3,∞)
A.
There are exactly 8 apples in the bag.
B.
There are fewer than 8 apples in the bag.
C.
There are exactly 7 apples in the bag.
D.
There are more than 8 apples in the bag.
Answers
Answers
Answer:
The exact probability = 0.0431
Step-by-step explanation:
Given: A bag contain - Caramels= 12, mints= 12, bars of dark chocolates= 14
Marilyn picks three items from the bag without replacement.
Total number of items 12+12+14=36
Now, probability = favorable outcome / total no. of outcomes
Probability of picking a mint =
After picking a mint there are :
caramels=10, mints=11, bars of chocolate=14
Total items in the bag=35
Probability of picking another mint =
now, caramels=10, mints=10, bars of chocolate=14
Total items in the bag=34
Probability of picking a bar of dark chocolate =
The exact probability of picking the items:
Therefore, the exact probability = 0.0431
12/36 x 11/35 x 14/34 = 11/255
There's your answer.
Answers
26 hours to seconds.
1 hour = 60 minutes
1 minute = 60 seconds
26 hours * 60 minutes/1hr = 26 * 60 minutes = 1,560 minutes
1,560 minutes * 60 seconds/1min = 1,560 * 60 seconds = 93,600 seconds
26 hours has 93,600 seconds.
estimate of the length of a flute?
A 45 millimeters
B 45 centimeters
C 45 meters
Answers
Answer:
Step-by-step explanation:
45 meters is too long, 45 millimeters is too small. best choice would be 45 centimeters
a) How far does the earth travel in one orbit about the
sun? That is, what is the approximate circumference of the earth's path?
b) Approximately how fast is the earth traveling in its orbit in space? Calculate
your answer in miles per hour.
Answers
a. The circumference should be 186000000π mile
b. The speed of the earth should be 7750000π miles per hour.
Calculation of the circumference & speed of the earth:
Since the radius is 93000000 miles
a.
So, here the circumference is
= 2πr
= 2π(93000000) miles
= 186000000π miles
b) Now the speed is
speed = distance ÷ time
Here the time should be 24 hours
So,
Speed = 186000000π ÷ 24
= 7750000π miles per hour
Learn more about speed here: brainly.com/question/24394014
The circumference= 186000000π miles and the speed or the earth is 7750000π miles per hour.
Step-by-step explanation:
Radius (r) = 93000000 miles
a) circumference= 2πr
= 2π(93000000) miles
= 186000000π miles
b) speed = distance / time
Here distance is the circumference and time is 24hrs because if the earth completes 1 revolution around the sun in 24hrs.
Speed = 186000000π/24
= 7750000π miles per hour