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azamat
2 years ago
14

The initial population of bacteria in a lab test is 400. The number of bacteria doubles every 30 minutes. Predict the bacteria p

opulation at the end of three hours
Mathematics
1 answer:
vladimir1956 [14]2 years ago
6 0
25,600 will be the bacteria population after doubling every 30 minutes for 3 hours.
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A bench is 35 inches long and 19 inches wide. how many square inches does it cover?
vfiekz [6]
Do 35 times 19 and that is the whole square inches or so 35 squared times 19 squared 
4 0
3 years ago
If m ACB = 48° and <br> m CAB = 47°, is line BC a tangent to circle A?
muminat

Answer: No, because ABC is not a right angle.


Step-by-step explanation: In triangle ABC, the three angles add up to 180

So angle B = 180 - 48 - 47 = 85.


7 0
3 years ago
Solve the system. -3x-y=10; y-4z=-13; x-4y+z=4
kvasek [131]

9514 1404 393

Answer:

  (x, y, z) = (-3, -1, 3)

Step-by-step explanation:

Many graphing calculators can solve matrix equations handily. Here, we use a combination of methods.

Use the last equation to write an expression for z.

  z = 4 -x +4y

Substitute this into the second equation:

  y -4(4 -x +4y) = -13

  y -16 +4x -16y = -13

  4x -15y -3 = 0

In genera form, the first equation can be written as ...

  3x +y +10 = 0

Now, the solution to these two equations can be found to be ...

  x = (-15(10) -1(-3))/(4(1) -3(-15)) = (-150 +3)/(4+45) = -3 . . . using "Cramer's rule"

  y = -(10 +3x) = -(10 -9) = -1 . . . . from the first equation

  z = 4 -(-3) +4(-1) = 3 . . . . . . . . from our equation for z

The solution to the system is (x, y, z) = (-3, -1, 3).

_____

<em>Additional comment</em>

Written as an augmented matrix, the system of equations is ...

  \left[\begin{array}{ccc|c}-3&-1&0&10\\0&1&-4&-13\\1&-4&1&4\end{array}\right]

4 0
2 years ago
How many times greater is the value of the 5 in 503 than the value of the 5 in 53?
disa [49]

Answer:

10 times greater

Step-by-step explanation:

Because value of 5 in 503 is 5*100

Then the value of 5 in 53 is 5*10

So then value of 5 in 503 is 10 times greater than the value of 5 in 53

I hope this helps

7 0
3 years ago
Read 2 more answers
9Find -18 + (-67). Show your work.
polet [3.4K]

Answer:

-85

Explanation:

Given the mathematical expression:

-18+(-67)

First, we recall the product of signs.

+\times-=-

So, first, we open the bracket:

-18+(-67)=-18-67

We then simplify:

=-85

The result is -85.

3 0
1 year ago
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