The change in x between the two is 3 and the change in y is -9.
Divide -9 by 3 to get -3 using the rise over run slope formula.
The equation is y = -8 + -3x because the -8 in the second set of coordinates is the y-intercept of the equation.
Hope this helps!
Answer:
10¹⁸ ergs
Step-by-step explanation:
From the question,
Using the expression
M =
log(E/10¹³)................. Equation 1
Where M = Richter magnitude of earth quake, E = Energy released in ergs.
Given: M = 4.0
Substitute into equation 1 amd solve for E
4 =
log(E/10¹³)
Log(E/10¹³) = (4×5)/4
Log(E/10¹³) = 5
E/10¹³ = 10⁵
E = 10⁵×10¹³
E = 10⁵⁺¹³
E = 10¹⁸ ergs
Answer:
200 sheets
Step-by-step explanation:
Divide 5,000 by 25 to get 200 sheets of paper per box.
Answer: the expression that represents the total number of items that have been collected is
7d + 12
Step-by-step explanation:
You are collecting pairs of socks and toothbrushes for a local charity.
Total number of pairs of socks that you would have collected after d days is (4d+5)
Total number of toothbrushes that you would have collected after d days is (3d+7). Therefore, the expression that represents the total number of items that have been collected after d days would be
4d + 5 + 3d + 7
= 4d + 3d + 5 + 7
= 7d + 12
Answer: There are 2.25×10³⁴ bacteria at the end of 24 hours.
Step-by-step explanation:
Since we have given that
Number of bacteria initially = 1
It triples in number every 20 minutes.
So, 
So, our equation becomes

We need to find the number of bacteria that it will contain at the end of 24 hours.
So, it becomes,

Hence, there are 2.25×10³⁴ bacteria at the end of 24 hours.