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Alinara [238K]
3 years ago
14

If there are initially 1800 bacteria in a culture, and the number of bacteria double each hour, the number of bacteria after t h

ours can be found using the formula N=1800(2^t). About how long will it take the culture to grow to 5400 bacteria?
Mathematics
1 answer:
Nataly_w [17]3 years ago
5 0

Answer:  1.58 hours

<u>Step-by-step explanation:</u>

5400=1800(2)^t\\\\3=2^t\\\\ln\ 3=ln\ 2^t\\\\ln\ 3=t\cdot ln\ 2\\\\\dfrac{ln\ 3}{ln\ 2}=t\\\\1.58=t

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Use the equation y+5=x/4 to fill in the missing values in the table below
-Dominant- [34]

Answer:

  1. .
  2. -2
  3. -5
  4. 20
  5. -12

Step-by-step explanation:

hope it helps

5 0
3 years ago
Solve for x.<br> 4x - 36<br> 3x + 10
Anestetic [448]

Answer:

x = 46

Step-by-step explanation:

Since the angles are equal to each other, make the equations equal to each other.

4x - 36 = 3x + 10 and simplify

x - 36 = 10

x = 46

Hope this helps!

7 0
2 years ago
Can someone help me on 64 67 68 and if you do you will get a lot of points
andre [41]

Answer: #64, A. #67, A. #68, C


Step-by-step explanation:

#64

0.96/6= 0.16

2.4/16= 0.15

32= 0.18

16 oz is the least


#67

100/20=5

3*5=15

SO, it's 15%.


#68

Divide

$430/43= $10

$594/54= $11

Andrew= $8

So, Darren makes the most.

8 0
3 years ago
ΔABC is dilated by a scale factor of 0.25 with the origin as the center of dilation, resulting in the image ΔA′B′C′. If A = (-1,
Leni [432]

Answer:

5

Step-by-step explanation:

To find B and C prime, you must multiply them by .25, or 1/4.


B' =  

(-2 x .25),(1 x .25)


I did mine in fraction form, because it will prove to be more useful in future mathematics.


B' = (1/2  ,  1/4)


Repeat the process with C.


C' =

(14 x .25),(17 x .25)


C' =

(7/2  ,  17/4)




You only need to focus on B and C because you are finding the length of B'C'.


The formula for distance is the square root of x to the sub of 2 minus x to the sub of 1 squared minus y to the sub of 2 minus y to the sub of 1 square.


x2 -  x1 =  7/2  -  1/2  =  6/2  =  3 squared  =  9


y2 - y1 = 17/4 - 1/4 = 16/4  =  4 squared = 16


16 + 9  = 25


Square root of 25 is 5.


Therefore, the distance is 5.


8 0
3 years ago
Charlene is a video game designer and wants to make sure that her games can be played on all types of screens. In order for the
Nikitich [7]

Answer:

The playable area has a width of 9 inches and a height of 6 inches.

Step-by-step explanation:

There are a number of ways you can get there.

1. Check the answers to see which have the right area and aspect ratio.

A: area = 24 in² — does not match 54 in²

B: area = 54 in², aspect ratio 6:9 = 2:3 — does not match 3:2 aspect ratio

C: area = 54 in², aspect ratio 9:6 = 3:2 — matches problem statement

D: area = 121.5 in² — does not match 54 in²

2. If the screen were 3:2 (inches), its area would be 6 in². The area of 54 in² is 9 times that value, so the actual screen dimensions are √9 = 3 times 3:2. That is, they are width:height = 9:6 inches — matches selection C.

3. You can write equations for width and height and solve.

w/h = 3/2

wh = 54

Substituting w=3/2·h into the second equation gives

... (3/2)h·h = 54

... h² = 36 . . . . . multiply by 2/3

... h = √36 = 6 . . . . square root, result in inches

4 0
2 years ago
Read 2 more answers
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