Answer:
1, 2, and 5 would make the equation true
Step-by-step explanation:
1) 12.4/100 = 0.124 is CORRECT
2) 3.8/100 = 0.038 is CORRECT
3) 52350/100 = 52.35 is INCORRECT, the correct answer is 523.5
4) 850.4/100 = 85.04 is INCORRECT, the correct answer is 8.504
5) 0.41/100 = 0.0041 is CORRECT
Therefore, answers 1, 2, and 5 would make the equation n = 100 true.
Answer: 495 bacteria in 2 minutes.
Step-by-step explanation:
We would apply the formula,
y = ab^t
Where
a represents the initial amount of bacteria.
t represents the doubling time.
From the information given
a = 10
t = 15 seconds
Since after 15 seconds, the amount of bacteria multiplies by 2, then
y = 2 × 10 = 20
Therefore
20 = 10 × b^15
Dividing through by 10, it becomes
2 = b^15
Raising both sides of the equation by 1/15, it becomes
2^(1/15) = b^15/15
b = 1.047
The equation becomes
y = 10(1.047)^t
For t = 2 minutes(2 × 60 = 120 seconds), then
y = 10(1.047)^120
y = 495 bacteria
The decimal form of 3/8 is 0.375
I'll just factor the above equation.
x² + 18x + 80
x² ⇒ x * x
80
can be:
1 x 80
2 x 40
4 x 20
5 x 16
8 x 10 Correct pair
(x+8)(x+10)
x(x+10) +8(x+10) ⇒ x² + 10x + 8x + 80 = x² + 18x + 80
x+8 = 0
x = -8
x+10 = 0
x = -10
x = -8
(-8)² + 18(-8) + 80 = 0
64 - 144 + 80 = 0
144 - 144 = 0
0 = 0
(-10)² + 18(-10) + 80 = 0
100 - 180 + 80 = 0
180 - 180 = 0
0 = 0
I think the algebra tiles will not be a good tool to use to factor the quadratic equation because the equation is not a perfect square quadratic equation.
Biconditionals are statements that work both ways.
Some examples:
If it rains, I go out, and if I go out, it must be raining.
This can be stated concisely in mathematical terms as
I go out IF AND ONLY IF it rains.
So looking at the given statements, only the last two work both ways, namely:
If the sun rises in the east, then it is morning, and if it is morning, the sun rises in the east.
Victoria will play outside if and only if the weather is nice.
