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Semmy [17]
3 years ago
12

An epidemiologist is observing the decay pattern of a pathogenic bacteria after applying a vaccine. He starts with 1,000 bacteri

a that decay at a rate of 8% per hour. He will check on the bacteria in 48 hours. How many bacteria will he find? Round your answer to the nearest whole number.
Mathematics
2 answers:
Radda [10]3 years ago
7 0

Answer:

21

Step-by-step explanation:

Identify the value of each variable in the formula. Be sure to put the percent in decimal form. Be sure the units match—the rate is per hour and the time is in hours.

AA0rt=?=1000=−0.08/hour=48hours

Substitute the values in the formula.

AA=A0ert=1,000e−0.08⋅48

Compute the amount.

A≈21.49

Round to the nearest whole number.

A≈21

Zielflug [23.3K]3 years ago
6 0

Answer:

8%=1 hour

?=48 hours

48×8

384

1000-384

616 bacteria

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Please help! Need help asap!
Sedbober [7]

Answer:

A

Step-by-step explanation:

The two angles in the triangle in the question are 58 degrees and 54 degrees.

Three angles in a triangle add up to 180 degrees

58 + 54 + x = 180

112 + x = 180

subtract 112 on both sides

x = 180 - 112 = 68 degrees

Only option A has a triangle that has the same angles, thus triangles are similar.

please give thanks by clicking heart button! :)

6 0
2 years ago
Help pleasee asaapp im lost
avanturin [10]

Answer:

C

Step-by-step explanation:

The area of a circle is pi * r^2.  The radius is 7 because the diameter is 14 so the radius is 14/2.  The square of 7 is 49.  Pi is approximately 3.14, so 49 * 3.14 is about 154.

4 0
3 years ago
Read 2 more answers
Ana filled her gas tank up with 16 gallons. her gas tank loses 0.04 of a gallon every mile she drives. how many gallons will be
kirza4 [7]

Answer:

8.8 gallons left in the gas tank.

Step-by-step explanation:

180 x 0.04 = 7.2

16 - 7.2 = 8.8

7 0
3 years ago
Evaluate the expression 3.14(a2 + ab) when a = 3 and b = 4. (Input decimals only, such as 12.71, as the answer.)
Rama09 [41]
A= 3
b= 4

=3.14(a^2 + ab)
substitute the given a & b values in expression

=3.14((3)^2 + (3*4))
multiply inside parentheses

=3.14(9 + 12)
add inside parentheses

=3.14(21)
multiply

=65.94


ANSWER: 65.94

Hope this helps! :)
4 0
3 years ago
Harita must memorize 90 measures of music for her cello solo at a concert. She plans on memorizing 18 new measures for
skad [1K]

m = 90 - 6d is the equation to determine m, the number of measures Harita still needs to  memorize, as a function of d, the number of days of practice since she began learning the piece

<em><u>Solution:</u></em>

Given that Harita must memorize 90 measures of music for her cello solo at a concert

To find: equation to determine m, the number of measures Harita still needs to  memorize, as a function of d, the number of days of practice since she began learning the piece

Let "m" be the number of measures Harita still needs to  memorize

Let "d" be the number of days of practice since she began learning the piece

Given that She plans on memorizing 18 new measures for  every 3 days of practice

<em><u>Rate per day is given as:</u></em>

\frac{18}{3} = 6

Therefore she memorises 6 per day

<em><u>Therefore, the equation that relates 'm' to 'd' is: </u></em>

m = total measures of music she must memorise - (number of measures she memorises per day x d)

m = 90 - 6(d)

m = 90 - 6d

Thus the required equation is found

7 0
3 years ago
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