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11111nata11111 [884]
4 years ago
7

If the number of bacteria in a colony doubles every 105 minutes and there is currently a population of 45 bacteria,what will be

the population by 315 minutes from now?
Mathematics
2 answers:
Brums [2.3K]4 years ago
7 0

Answer:

180

Hope this helps :)

ira [324]4 years ago
4 0

360

Step-by-step explanation:

1st minute => 45 bacteria

105th minute => 45 x 2 = 90 bacteria

210th minute => 90 x 2 = 180 bacteria

315th minute => 180 x 2 = 360 bacteria

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Here are the first four terms of a quadratic sequence.
Llana [10]

Answer:

a = 3, b = 1, c = - 3

Step-by-step explanation:

Substitute n = 1, 2, 3 into the n th term

a + b + c = 1 → (1)

4a + 2b + c = 11 → (2)

9a + 3b + c = 27 → (3)

Subtract (1) from (2) term by term to eliminate c

Subtract (2) from (3) term by term to eliminate c

3a + b = 10 → (4)

5a + b = 16 → (5)

Subtract (4) from (5) term by term to eliminate b

2a = 6 ( divide both sides by 2 )

a = 3

Substitute a = 3 into (4) and evaluate for b

3(3) + b = 10

9 + b = 10 ( subtract 9 from both sides )

b = 1

Substitute a = 3, b = 1 into (1) and evaluate for c

3 + 1 + c = 1

4 + c = 1 ( subtract 4 from both sides )

c = - 3

Then a = 3, b = 1 and c = - 3

4 0
3 years ago
Which of the following is a trinomial with a constant term.
Sunny_sXe [5.5K]
<h2>The "option d: y^5 + 13x + 12"​ is a trinomial with a constant term.</h2>

Step-by-step explanation:

To check options:

a: x + 4y

Here, the coefficient of x = 1 and the coefficient of y = 4

b: x^3

Here, the coefficient of x^3 = 1

c: x^4 + 3y^2 + 2y

Here, the coefficient of x^4  = 1, the coefficient of y^2 = 4 and the coefficient of y = 2

d: y^5 + 13x + 12​

Here, the coefficient of y^5   = 1, the coefficient of x = 13 and

constant term = 12

Thus, the "option d)  y^5 + 13x + 12"​ is a trinomial with a constant term.

6 0
3 years ago
The perimeter of a rectangular herb garden is 74 feet. If the length is 5 feet longer then 3 times it’s width what is the garden
NemiM [27]

Answer:

width = 8 feet and length = 29 feet

Step-by-step explanation:

perimeter of a rectangle P = 2(L + W)

width W = x

length L = 3x + 5

P = 74 feet

74 = 2(3x + 5 + x)

37 = 3x + 5 + x

37 = 4x + 5

4x = 37 -5

4x = 32

x = 8

W = 8 feet

3 0
3 years ago
Find the distance between the points <br> (-8,-6) and (4, 10)
never [62]

Answer:

d=20

Step-by-step explanation:

To find the distance between 2 points we use the distance formula

d = √(x2 - x1)²+(y2 - y1)²

The given points are (x1= -8, y1 = -6) and (x2 = 4, y2 = 10).

Substitute the given points into the distance formula.

d = √(4 + 8)²+(10 +6)²

d = √144+252

d= √400

d = 20

3 0
3 years ago
4,1
pantera1 [17]

Answer:

0.39

Step-by-step explanation:

39% can be written as 39.% to emphasize that the decimal is to the right of the last digit in a whole number. When converting from percent to decimal, you divide by 100 which has the same effect as moving the decimal two places to the left. Therefore, 39.% becomes 0.39.

3 0
3 years ago
Read 2 more answers
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