Answer:
8(3x-5)
8 is the GCF of 24 and 40 so you write 8 and in brackets you put your terms after you divide by 8 so you get 3x and -5 so it is written as 8(3x-5)
Answer:
1. 1343 years
2. 9 hours
3. 39 years
Step-by-step explanation:
1. Given, half-life of carbon = 5730 years.
∴ λ = 0.693/half-life of carbon = 0.693/5730 = 0.000121
If N₀ = 100 then N = 85
Formula:- N = N₀*e^(-λt)
∴ 85 = 100 * e^(-0.000121t)
∴㏑(-0.85)=-0.000121t
∴ t = 1343 years
2. Given half-life of aspirin = 12 hours
λ = 0.693/12 = 0.5775
Also N₀ = 100 then 70 will disintegrate and N = 30 will remain disintegrated.
∴ 70 = 100 *e^(-0.05775t)
0.70 = e^(-0.05775t)
㏑(0.70) = -0.05775t
∴ t = 9 hours
3. The population of the birds as as A=A₀*e^(kt)
Given that the population of birds fell from 1400 from 1000, We are asked how much time it will take for the population to drop below 100, let that be x years.
The population is 1400 when f = 0, And it is 1000 when f = 5
We can write the following equation :
1400 = 1000e^(5t).
∴1400/1000 = e^(5k)
∴ k = ㏑(1.4)/5
We need to find x such that 1400/100 = e^(xk)
14 = e^(xk)
∴ x = 39 years
The table doesn't represent linear function
Step-by-step explanation:
We need to identify if the table represent a linear function or not.
<u>Linear Function </u>
A linear function is defined as a straight line with an x and y intercept and the same slope through the whole line.
Finding the slope of elements in the table:
x y
0 0
1 1
2 8
3 27
Slope= y/x
Slope = 0/0=0
slope = 1/1 = 1
slope = 8/2 = 2
slope = 27/3 = 9
The function represented is: y=x^3
Since the slope of points x and y in the table is not same, and its graph is not linear.
So, the table doesn't represent linear function
Keywords: Linear Function
Learn more about Linear function at:
#learnwithBrainly
Answer:
$2.15
Step-by-step explanation:
Since 3 Tomatoes cost $1.29
Then let's first find how much is 1 Tomatoes.
To do that we have to divide Cost by # of Tomatoes
3/1.29 = 0.43
Thus, 1 Tomatoes Cost 0.43
Now, the question is: How much will 5 tomatoes cost?
Therefore, 0.43 * 5 =2.15
Hence, 5 Tomatoes cost $2.15
[RevyBreeze]
If you change the point's x-coordinate, the point will move either to the left or the right, depending on if the number you change is negative or positive.
