Answer:
(2,3)
Step-by-step explanation:
I did this by using the equation that was given. y=x+1.
This mean that the starting point would be the coordinate (0,1) and the x is the slope, which means that from coordinate (0,1) I will go up one and one to the right until I intersected with coordinate (2,3).
Answer: After 13 (12) hours, there would be 6,500 bacteria across the culture.
Step-by-step explanation:
The bacteria grew by 500 each 4 hours, so to know how much there would be 13 hours later:
Simple, add 500 bacteria to every 4 hours until you reach 13 hours. 4 = 5.5k, 8 = 6k, 12 = 6.5k. Now, 12 is closer to 13 than anything we would've gotten if we kept going.
And there's your answer.
<u>Answer</u>
0
<u>Explanation</u>
(2m)/(2m+3)-(2m)/(2m-3)=1
Simplifying the left hand first
(2m)/(2m+3)-(2m)/(2m-3) = {2m(2m-3) - 2m(2m+3)}/(4m²-9)
(4m²-6m-4m²-6m)/(4m²-9)
= (-12m) / (4m²-9)
Now this equet to 1
(-12m) / (4m²-9) = 1
-12m = 4m²-9
4m²+ 12m -9 =0 ⇒⇒⇒ This is a quadratic equation that has 2 real solutions.
4m²+ 12m -9 =0
m² + 3m + (3/2)²= 9/4 + 9/4
(m + 3/2)² = 18/4
m = √18/2 - 3/2 or m = -√18/2 - 3/2
= 0.621 = -3.621
So we can say that the equation has NO extraneous solutions.
Answer = 0
There are 5 x 10 = 50 different outcomes.
Of them only 3x10, 4x10, 4x9, 4x8, 5x10, 5x9, 5x8, 5x7 and 5x6 are greater or equal than 30. Those are 9 possibilities.
Then 50 - 9 = 41 are the possibilities that the product of the two numbers is less than 30.
The probalility, then, is 41/50 = 0.82
By applying the law of sines and some algebraic handling, the length of the side LJ is approximately equal to 3.517 units. (Right choice: D)
<h3>What is the missing side of the triangle according to the law of sines?</h3>
The law of sines presents a relationship between sides and <em>opposite</em> angles, which is described below:
9/sin 89° = LJ/sin 23° (1)
LJ = 9 × sin 23°/sin 89°
LJ ≈ 3.517
By applying the law of sines and some algebraic handling, the length of the side LJ is approximately equal to 3.517 units. (Right choice: D)
To learn more on law of sines: brainly.com/question/21634338
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