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spayn [35]
4 years ago
14

A culture started with 2,000 bacteria. After 2

Mathematics
1 answer:
Ket [755]4 years ago
3 0

Answer: In 10 hours, 4000 bacteria will be present.

Step-by-step explanation:

Given that 2000 bacteria grew to 2400 in 2 hours,

growth/ increase rate = 2400 - 2000

= 400 bacteria increase in 2 hours

Per hour is therefore 400/2 = 200 bacteria increase per hour

If the bacteria increases by 200 per hour

If 200 = 1 hour

X = 10 hours

We cross multiply:

X = 200 x 10

X = 2000

Therefore, a culture with 2000 bacteria at the same growth rate will have increased by additional 2000 in 10 hours

So, after 10 hours, number of bacteria will be 2000 + 2000 = 4000 bacteria

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Is the cordinates (2,4) (5,0) (6,8) (9,2) (11,6) functional?
Dmitrij [34]

Yes this is a function

The reason why is because the x coordinates do not repeat. Each x value maps to exactly one y value. For any input, there is exactly one output. If you were to graph all of these points, then the graph would pass the vertical line test.

If we had something like (2,4) and (2,0) then the input x = 2 would lead to multiple outputs (y = 4, y = 0) which would not make it a function; however we don't have any repeated x values here.

6 0
3 years ago
Read 2 more answers
What is -2<img src="https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D" id="TexFormula1" title="\frac{1}{2}" alt="\frac{1}{2}" align=
dolphi86 [110]

well, you already know how to convert from mixed to improper, so let's simply do the division.


\bf -2\frac{1}{2}\div 6\implies -\cfrac{5}{2}\div 6\implies \cfrac{-5}{2}\div \cfrac{6}{1}\implies \cfrac{-5}{2}\cdot \cfrac{1}{6}\implies -\cfrac{5}{12}

7 0
3 years ago
Martin has a total of 19 nickels (50.05) and dimes ($0.10) worth $1.65. How many of each type of coin does he have?
mezya [45]

Answer: 19nickels and 7dimes.

Ps i really don’t know where the 50.05 came from if it is suppose to be there then I really don’t know how to solve this.

Step-by-step explanation:

Ok so if you know that there are 19nickels, let n=number of nickels.

The number of total coins subtracted by number of nickels will give you number of dimes.

165-number of nickels=number of dimes

Value of dimes=10(number of dimes) or total value of dimes/individual value (10cent)

Then you can substitute total as $1.65 and get the value of nickels by multiplying by 5cent ( my teacher taught me using whole numbers to make it easier so I turned $1.65 to 165 cent). Since the value of the dimes is the value of nickels subtracted from the total, I can subtract 95 from 165 and divide the difference by 10, to get the number of dimes.

5(n)=5(19)=95

(165-95)/10=number of dimes

70/10=7dimes

You can check by multiplying 7x10 and 5x15 again and adding them together to see if they equal 165 cent.

4 0
3 years ago
The cost of a compact disc is $18. Mrs. Meridth bought 3 discs and received a 15% discount. If the sales tax is 8.8%, find the t
Harlamova29_29 [7]

Answer:

$49.572

Step-by-step explanation:

Given that :

Cost per disc = $18

Number of disc purchased = 3

Discount received = 15%

Sales tax = 8%

Original cost : cost per dic * number purchased

Original cost = $18 * 3 = $54

Discounted price = (100 - 15)% * $54

Discounted price = $45.9

Sales tax :

(100 + 8)% of $45.9

108% * $45.9

= $49.572

Total price = $49.572

5 0
3 years ago
The dashed-lined figure is a dilation image of EFGH. Is D(n,H) an enlargement or a reduction? What is the scale factor n of the
alexandr1967 [171]

Answer:

n = 3; enlargement

Step-by-step explanation:

The dashed-line figure is larger. That is the meaning of "enlargement."

Points on the dashed-line figure are 3 times the distance from point H as the corresponding point on the sold-line figure, so the scale factor is 3.

7 0
4 years ago
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