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horsena [70]
2 years ago
5

A bacteria culture contains 100 cells and grows at a rate proportional to its size. After one hour the population has increased

to 480. Find an expression for the number of bacteria after t hours.
Mathematics
1 answer:
xenn [34]2 years ago
7 0
We know it begins at 100. If we use a*b^t, then 100 is our a. 100*b^t. We can now divide 480 by 100. This is 4.8. 4.8 is b. f(t) = 100(4.8)^t
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Michelle tried to solve an equation step by step. \begin{aligned} t-\dfrac35&=\dfrac45\\\\ t-\dfrac35+\dfrac35&=\dfrac45
valentinak56 [21]

Answer:

Step 2

Step-by-step explanation:

Michelle's step in trying to solve the equation is given below:

\begin{aligned} t-\dfrac35&=\dfrac45\\\\ t-\dfrac35+\dfrac35&=\dfrac45+\dfrac35&\green{\text{Step } 1}\\\\ t&=1&\blue{\text{Step } 2} \end{aligned}

Michelle made a mistake in Step 2.

The right hand side of Step 1:  \dfrac45+\dfrac35\neq 1

Rather, the correct sum is:

\dfrac45+\dfrac35=\dfrac75\\\\=1\dfrac25

5 0
3 years ago
Two consecutive even integers have a sum of 34. find the integers​
poizon [28]

Answer: 16, 18

Step-by-step explanation:

16 + 18 = 34

3 0
3 years ago
Three students need to produce a prime factorization of 48. Donna states that the first factors in the tree should be 6 and 8. L
Gennadij [26K]
If we start with 6 and 8, we can break 6 up into 2*3 and 8 into 2*2*2, thus getting a prime factorization of 2*2*2*2*3, or 2^4 *3.

If we begin with 4 and 12, 4 breaks into 2*2 and 12 into 2*2*3, so the prime factorization of 48 is still 2^4 *3.

The starting factors do not matter, since the answer comes out to be the same. There is exactly one correct answer- it doesn't matter how it's found.

Hope this helps! :)
4 0
3 years ago
Read 2 more answers
Can u give me some examples of adding integers please
tia_tia [17]
Here are some examples: 2+2=4, 5+-5=0 etc... Integers are positive numbers and negative numbers like: 5, 7, 100, -38.
6 0
3 years ago
Read 2 more answers
If 5<2x+3<11, what is the possible range of value of -4x-6
Lady bird [3.3K]

Answer:

-10 > (-4x - 6) > -22

Step-by-step explanation:

Given inequality is 5 < 2x + 3 < 11

Now we will multiply this inequality by (-2) resulting,

5(-2) > (2x + 3)(-2) > 11(-2)

-10 > (-4x - 6) > -22 (Sign of inequality gets reversed when the inequality is multiplied or divided by a negative number)

Therefore, the possible range of (-4x - 6) is between -22 and -10.

4 0
3 years ago
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