Answer:
Number of bacteria when t = 10 min is 3,000
Step-by-step explanation:
Given:
Number of bacteria in a culture by equation
Q(t) = 2(729^t)
Value of t = 10 min = 10 / 60 = 0.1667 hour
where t is number of hours
Find:
Number of bacteria when t = 0.1667 hour
Computation:
Given equation
Q(t) = 2(729^t)
Put t = 0.1667
Q(10) = 2(729⁰'¹⁶⁶⁷)
We know that;
a⁰ = 1
So,
Q(0.1667) = 2(729⁰)
Q(0.1667) = 3
Number of bacteria when t = 0 is 3,000
The second answer is the correct one
Answer:
26 units
Step-by-step explanation:
If point F is on the line segment EG, then EF+FG = EG
Given
FG=8,
EF=2x+4
EG=4x−10
Substitute the given values into the formula;
2x+4+8 = 4x−10
2x+12 = 4x-10
collect like terms
2x-4x = -10-12
-2x = -22
x = 22/2
x =11
Since EF = 2x+4
EF = 2(11)+4
EF = 22+4
EF = 26
Hence the numerical length of EF is 26 units
Answer:
x ÷ 1/4
Step-by-step explanation:
<u>Concepts:</u>
- An expression a mathematical sentence that has at least two numbers and a minimum of one math operation (addition, subtraction, etc.) in it. An expression cannot have an = sign in it.
- A variable is an unknown, numerical value in an equation, often represented by the letter x.
<u>Solving:</u>
Let's translate the first part of the expression:
1. "A number"
- Since we're unaware of the number in this expression, we can mark it as a variable, x.
- This means that, so far for our expression, we only have the variable, "x".
2. "divided by 1/4"
- When we're dividing, we use the ÷ symbol to represent that operation.
- Now, let's put the first part of our expression with the second one: "x ÷ 1/4"
Therefore, the expression for this situation is x ÷ 1/4.
