A bacteria culture begins with 4 bacteria which double in size every hour. How many bacteria exist in the culture after 8 hours?
Answers
The number of bacteria that exist in the culture after 8 hours will be 1024.
What is an exponent?
Consider the function:
y = a (1 ± r) ˣ
Where x is the number of times this growth/decay occurs, a = initial amount, and r = fraction by which this growth/decay occurs.
If there is a plus sign, then there is exponential growth happening by r fraction or 100r %
If there is a minus sign, then there is exponential decay happening by r fraction or 100r %
A bacteria culture begins with 4 bacteria which double in size every hour.
Then the equation will be
y = 4 (2)ⁿ
Where n is the number of hours.
Then the number of the bacteria that exist in the culture after 8 hours will be
y = 4 (2)⁸
y = 4 x 256
y = 1024
More about the exponent link is given below.
#SPJ2
After 1 hour= 4 x 2= 8
2 hours= 8 x 2= 16
3 hours= 16 x 2= 32
4 hours= 32 x 2= 64
5 hours= 64 x 2=128
6 hours= 128 x 2=256
7 hours= 256 x 2= 512
8 hours= 512 x 2= 1024
Answer: 1024
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B.f(x) = (x – 1)2 + 2
C.f(x) = 2(x + 1)2 + 2
D.f(x) = 2(x – 1)2 + 2
Answers
Canonical form of the function
f(x) = a* (x - p)² + q
A .f(x) = (x + 1)² + 2 ⇔ p= -1 , q = 2
B. f(x) = (x – 1)² + 2 we reject
C. f(x) = 2(x + 1)² + 2 ⇔ p = -1 , q = 2
D .f(x) = 2(x – 1)² + 2 we reject
The point (2,20) substitute
A f(x) = (x +1)² + 2
20 = (2 + 1 )² + 2
20 ≠ 9 +2
20 ≠ 11 we reject
D f(x) = 2* (x + 1)² + 2
20 = 2* (2+1)² + 2
20 = 2 * 3² + 2
20 = 2 * 9 + 2
20 = 18 + 2
Reply C
Answers
Answer:
21 degrees
Step-by-step explanation:
Triangles have a total angle of 180 degrees.
This makes our equation:
3x+3+4x+135=180
Subtract 135 from both sides and combine like terms
7x + 3 = 45
Subtract 3 from both sides
7x = 42
Divide both sides by 7
x = 6
Plugging the number in:
3x + 3 =
3(6) + 3 =
21
Answers
Answer:
y = 4 * x
y is the number of students that Lorenzo surveys,
x is the number of students that Nicole surveys.
Step-by-step explanation:
Lorenzo surveys 24 students, so we can use this value as the left side of our equation.
The number of students that Lorenzo surveys is 4 times as many as the number of students that Nicole surveys, that is 6. So, we use the value of 6 in the right side of the equation, and multiplied by 4 (the expression "4 times as many as" means that one value is the second one multiplied by 4)
The expression that represents this is:
24 = 4 * 6
If we use the variable y to express the number of students that Lorenzo surveys and x to express the number of students that Nicole surveys, we can write this equation:
y = 4 * x
A. x = – 7
B. x = – 6
C. x = 6
D. x = 7
Answers
Divide both sides by 7
42÷7 =6
6 x 7 = 42
C. x = 6
7x/7 = 42/7
x = 42/7
x = 6
Answer: x = 6
X° + 65° = 180°
x° = z°
y° = 65°
x° = 65°
x° + y° + z° = 115°
Answers
Answer:
a, b, and c
Step-by-step explanation:
a. x°+65°=180°
b. x°=z°
c. y°=65°
d. x°=65°
e. x°+y°+x°=115°
x = 115°
y = 65°
z = 115°
(-2,-3)????
Answers
The equation of the line is [ y = -3 ].