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Mariana [72]
3 years ago
14

The sum of two prime numbers

Mathematics
1 answer:
Anna35 [415]3 years ago
6 0
The sum of the two prime numbers is 85. This is an odd number. According to the Rule, the sum of the even prime number and the odd prime number is called an odd number.
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A bacteria population experiences continuous growth. If there were 2,000 bacteria present at the start of an experiment, how lon
allochka39001 [22]

Answer:

D. About 15.69 hours.

Step-by-step explanation:

Let x be the number of hours.

We have been given that there  were 2,000 bacteria present at the start of an experiment and the growth rate was 7% per hour.

Since number of bacteria is growing exponentially, so we will use exponential growth function to solve our given problem.

The continuous exponential growth formula is in form: y=e^{kx}, where,

e= mathematical constant,

k = Growth rate in decimal form.

Let us convert our given rate in decimal form.

7\%=\frac{7}{100}=0.07

Upon substituting our given values we will get exponential function for bacteria growth as: y=2,000*e^{0.07x}, where, y represents number of bacteria after x hours.

Since we need to figure out the number of hours it will take for there to be 6,000 bacteria, so we will substitute y= 6,000 in our function.

6,000=2,000*e^{0.07x}

Let us divide both sides of our equation by 2,000.

\frac{6,000}{2,000}=\frac{2,000*e^{0.07x}}{2,000}

3=e^{0.07x}

Let us take natural log of both sides of our equation.

\text{ln}(3)=ln(e^{0.07x})

\text{ln}(3)=0.07x

1.0986122=0.07x  

x=\frac{1.0986122}{0.07}  

x=15.69446\approx 15.69  

Therefore, it will take about 15.69 hours to be 6,000 bacteria and option D is the correct choice.




3 0
3 years ago
Write a polynomial function in standard form with zeros at 0, 1, and 2.
Nikitich [7]

Answer:

the first one is correct

6 0
2 years ago
Find UW.<br><br>(Please explain how you got UW so I know how to do the other ones!)
Aleonysh [2.5K]

Answer:

X = 6

Step-by-step explanation:

DU = DU .....(1)

DV =DW ......(2)

angle VDU = angle WDU .......(3)

so triangle VDU and triangle WDU are Congruent Triangles

thus VU = WU

we solve : 9x + 1 = 7x + 13 , x = 6

7 0
3 years ago
Are lines e and f parallel? Show your work.
SashulF [63]

Answer:

last two both should be = 180

Step-by-step explanation:

5 0
2 years ago
The Japanese 5 yen coin has a hole in the middle. If the diameter of the coin is 22 mm and the diameter of the hole is 5 mm, how
Yanka [14]

Answer:

4.4mm

Step-by-step explanation:

Circumference of circle

2 Pi r

Diameter of coin = 22mm

Therefore the radius = 11mm

Therfroe the outer edge (circumference)

= 2 Pi r

= 2 x Pi x 11

=69.11mm

For the inner edge

Diameter = 5

Radius = 2.5

Therefroe inner edge (circumference)

= 2 Pi r

= 2 x Pi x 2.5

= 15.7mm

The difference is

69.11 - 15.7

=4.4mm

7 0
3 years ago
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