Hi There! :)
<span>Given the exponential equation 4x = 64, what is the logarithmic form of the equation in base 10?
</span><span> x = log 64 / log 4</span>
The answer to this question is a equilater triangule
Answer:
Dependent variable → bacteria cell increase or population
Independent variable → time variable
Step-by-step explanation:
An independent variable has direct effect on the dependent variable. The independent variable can stand on it own and it is not change by the other variable you are trying to measure. The independent variable have direct effect on the dependent variable.
A dependent variable is actually the variable being tested in an experiment. The dependent variable is actually dependent on the independent variable.
The dependent variable in this scenario is the bacteria cell increase or the bacteria cell multiplication. The bacteria cell increase is dependent on the time . The time variable is the independent variable as it can stand on it own .
Dependent variable → bacteria cell increase or population
Independent variable → time variable
A function assigns the values. The maximum amount of students able to receive tickets is 178.
<h3>What is a Function?</h3>
A function assigns the value of each element of one set to the other specific element of another set.
Let the maximum amount of students able to receive tickets be represented by x. Josh is selling tickets for his school's performance. Each student receives 4 tickets for their family and 560 people are already coming. And the auditorium seats a maximum of 1275 people. Therefore, we can write,
1275 = 4x + 560
1275 - 560 = 4x
4x = 715
x = 178.75
Since the number should be a whole number therefore, the maximum amount of students able to receive tickets is 178.
Learn more about Function:
brainly.com/question/5245372
#SPJ1
Answer:
see explanation
Step-by-step explanation:
Using the property of parallelograms
• The diagonals bisect each other, hence
DH = HF and GH = HE
x + 1 = 3y and 3x - 4 = 5y + 1 ⇒ 3x = 5y + 5
Solving the 2 equations simultaneously
x + 1 = 3y → (1)
3x = 5y + 5 → (2)
rearrange (1) expressing x in terms of y
x = 3y - 1 → (3)
substitute x = 3y - 1 in (2)
3(3y - 1) = 5y + 5
9y - 3 = 5y + 5 ( subtract 5y from both sides )
4y - 3 = 5 ( add 3 to both sides )
4y = 8 ( divide both sides by 4 )
y = 2
substitute y = 2 into (3)
x = (3 × 2) - 1 = 6 - 1 = 5
Hence x = 5, y = 2
