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guapka [62]
3 years ago
9

A certain colony of bacteria triples in length every 10 minutes. It's length is now 1 millimeter. how long will it be in 40 minu

tes?
Mathematics
1 answer:
iren [92.7K]3 years ago
5 0
So we know that the bacteria grows 3x as much every ten minutes.  From this we know that it'll be 3 mm in 20 minute.  Continuing the pattern, we can figure out that in 40 minutes the bacteria will be 81 mm.

The pattern: 10min - 3  20min - 9  30min - 27  40min - 81
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K is the midpoint of PQ, P has
Pachacha [2.7K]

Answer:

Coordinates of Q (x_2,y_2) \:are\: \mathbf{(7,16)}

Option D is correct option.

Step-by-step explanation:

We are given:

K is the midpoint of PQ

Coordinates of P = (-9,-4)

Coordinates of K = (-1,6)

We need to find coordinates of Q  (x_2,y_2)

We will use the formula of midpoint: Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})

We are given midpoint K and x_1,y_1 the coordinates of P we need to find x_2,y_2 the coordinates of Q.

Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})\\(-1,6)=(\frac{-9+x_2}{2},\frac{-4+y_2}{2})\\

Now, we can write

-1=\frac{-9+x_2}{2}, 6=\frac{-4+y_2}{2}\\Simplifying:\\-2=-9+x_2\:,\: 12=-4+y_2\\-2+9=x_2\:,\: 12+4=+y_2\\x_2=7\:,\:y_2=16

So, we get coordinates of Q (x_2,y_2) \:are\: \mathbf{(7,16)}

Option D is correct option.

6 0
2 years ago
A butcher has 10 3/4 pounds of ground beef that will be priced at 3.40 dollars per pound. He divides the meat into 8 equal packa
spin [16.1K]
Well we know that 10 and 3/4 is equivalent to 10.75.  If we divide the meat into 8 equal packages we have to divide 10.75 by 8.  Dividing 10.75 by 8 gives us 1.34375 pounds of meat per package.  If we take that, and multiply it by our given value of $3.40 per pound, we end up getting $4.57 a package.
8 0
3 years ago
Read 2 more answers
A license plate is to consist of 5 digits followed by 5 uppercase letters. Determine the number of different license plates poss
EastWind [94]

Answer:

5.3044992\times 10^{10}

Step-by-step explanation:

We are given that a license plate consist of 5 digits and 5 uppercase letters

Digits used=0,1,2,..9

Total number of letters=26

Repetition is not allowed

Total number of odd digits=(1,3,5,7,9)=5

The first place filled by 5

Second place filled by 4

Third place filled by 8

Fourth place filled by 7

Fifth place filled by 6

Sixth place filled by 26

Seventh place filled by 25

Eighth place filled by 24

Ninth place filled by 23

Tenth place filled by 22

Total number of possible  different license plates =5\times 4\times 8\times 7\times 6\times 26\times 25\times 24\times 23\times 22=5.3044992\times 10^{10}

7 0
3 years ago
Help me with this plz
djyliett [7]
Ok what do u need help with?

7 0
2 years ago
Explain how to draw an angle that measures 145° using a protractor.
kirill [66]
Hopefully this makes sense!

6 0
3 years ago
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