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Sholpan [36]
3 years ago
10

Please help, I don't understand this!

Mathematics
1 answer:
Lemur [1.5K]3 years ago
7 0

9514 1404 393

Answer:

  A: a = 100

  B: b = 2

Step-by-step explanation:

The problem statement tells you that the population of bacteria is 100 at the start of our observation.

  t = 0, f(t) = f(0) = 100

If you remember that a 0 exponent means the value is 1, then you know ...

  f(0) = a·b^0 = a·1 = a

Since f(0) = 100, we know a = 100.

__

An exponent signifies repeated multiplication.

We know the population at t=0 is 100. At t = 1, we are told the population doubles. That means it is multiplied by 2.

 f(1) = 100·b^1 = 100·2

  b^1 = 2 . . . . . . . . . . . . . . . matching parts of these expressions

  b = 2 . . . . . . . . . . . . . because b^1 = b

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The domain of the function f(x)=3x-6/x is {-3, -1, 2, 4, 5}. What is the function's range?
Maslowich
<span> f(x)=[3x-6]/x is {-3, -1, 2, 4, 5}

</span> f(-3)=[3(-3) -6]]/-3 = -15/-3 = 5
 f(-1)=[3(-1) -6]]/-1= -9/-1 = 9
 f(2)=[3(2) -6]]/2 = 0/2 = 0
 f(4)=[3(4) -6]]/4 = 6/4 = 1.5
 f(5)=[3(5) -6]]/5 = 9/5 = 1.8
<span>
answer is 

</span><span>c {5, 9, 0, 1.5, 1.8} </span>
3 0
3 years ago
Read 2 more answers
Michelle is rolling two six-sided dice, numbered one through six. What is the probability that the sum of her rolls is 8?
Verdich [7]
The probability that the sum of Michelle's rolls is 4 is 0.083
∴ P(A)=0.083
Step-by-step explanation:
Given that Michelle is rolling two six-sided dice, numbered one through six.
To find the probability that the sum of her rolls is 4:

∴ n(s)=36
Let P(A) be the probability that the sum of her rolls is 4
Then the possible rolls with sums of 4 can be written as

n(A)=3
The probability that the sum of her rolls is 4 is given by



=0.083
∴ P(A)=0.083
∴ the probability that the sum of Michelle's rolls is 4 is 0.083

-please give brainliest if correct!
3 0
3 years ago
How many of the 100 bin A items can be recycled at a specialized center?
pentagon [3]
Depending on how big the center is, I would say 15.
I hope this helped!
3 0
3 years ago
The perimeter of a rectangular piece of plastic is 30 millimeters. The area is 54 square millimeters. What are the dimensions of
Delvig [45]

Answer:

6 mm and 9 mm are the dimensions of the piece of plastic.

Step-by-step explanation:

Keep in mind the formulas for the area and perimeter of a rectangle:

A = lw

P = 2 (l + w)

List the factors of 54:

1, 2, 3, 6, 9, 18, 27, 54

POSSIBLE DIMENSIONS of the piece of plastic:

1 mm and 54 mm:

Area - 54 mm^2

Perimeter - 110 mm

2 mm and 27 mm

Area - 54 mm^2

Perimeter - 58 mm

3 mm and 18 mm

Area - 54 mm^2

Perimeter - 42 mm

6 mm and 9 mm

Area - 54 mm^2

Perimeter - 30 mm

The rectangular piece of plastic with the dimensions 6mm and 9 mm corresponds with the area and perimeter of the piece of plastic mentioned. So these are the correct dimensions.

Hope this helps!

6 0
2 years ago
Help please !! It’s geometry
Olenka [21]

Answer:

36

Step-by-step explanation:

Since BD is similar to GI, the ratio of the sides of the triangles is 27:3=9:1. This means that BC is 9 times larger than BH, or 4*9=36 units long. Hope this helps!

8 0
3 years ago
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