Please answer like this: 1) -insert answer- 2) -insert answer-

Mathematics

2 answers:

ElenaW [278]3 years ago

8 0

1. 2^9 = 512
2. as you can split up the fact in 3 hours it is 2^9 to find out one hour (divide by 3) which is 2^3 so we would just multiply it by 2 which equals 2^6

KIM [24]3 years ago

5 0

Answer:

1) 2^9 = 512

2) 2^(3t) = 2^6 for t=2

Step-by-step explanation:

1) An exponent is used to signify repeated multiplication. Here, the factor 2 is repeated 9 times, so the expression can be written using an exponent as ...

2^9

Using any of a variety of means, the value of this expression can be found to be ...

2^9 = 512

2) Assuming the bacteria reproduce by multiplying by some factor in a given time, we can divide the original expression into 3 parts:

(2×2×2) × (2×2×2) × (2×2×2)

If this represents the number after 3 hours, then the number after 2 hours is expected to be ...

(2×2×2) × (2×2×2) = 2^6

That is, there will be (2 h)/(3 h) = 2/3 times as many multiplications by a factor of 2. (2/3)(9) = 6 will be the exponent for the number after 2 hours.

You might be interested in

3 1/2 - 4 2/5<br> how do i do this?

Nadusha1986 [10]

Answer:

Ok so first you would have to turn them into improper fractions which is

3 $\frac{1}{2\\}$ = $\frac{7}{2}$ and 4 $\frac{2}{5}$ = $\frac{22}{5}$

So now that you have made them both improper fractions you have to find common denominators.

To find common denominators you must multiply both the numerator and the denominator by the same thing. Since your oposing fraction has a denominator of 5 you can know that a even number wont go in an odd number so take $\frac{22}{5}$ and mutiply both numbers by 2 and get $\frac{44}{10}$ . Then mutiply both numbers in $\frac{7}{2}$ by 5 to get a common denominator.