Answer:
1/105
Step-by-step explanation:
Total Marbles= 2+6+7=15
2/15 * 1/14 = 2/210 = 1/105
(It becomes 1/14 since you take out own red marble)
Answer:
The factory bottles <u>4000 cups of hone</u>y a day.
Step-by-step explanation:
1 gallon = 16 cups
250 gallons = 4000 cups
Hope this helps!
Part A:
Yes this is a function of x. Specifically the function is f(x) = x^2
The inputs (x) are squared to get the outputs (y).
For example,
f(x) = x^2
f(-3) = (-3)^2 <<--- input is x = -3
f(-3) = 9 <<--- output is 9
The pair of values -3 and 9 are shown in the table (column on the very right side)
The fact that each input leads to exactly one output is what makes this a function. If we had an input lead to multiple outputs, then it wouldn't be a function.
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Part B
Replace every x with 150 and then use the order of operations PEMDAS to simplify
f(x) = 20+3x
f(x) = 20+3*x
f(150) = 20+3*150 <<--- x has been replaced with 150
f(150) = 20+300
f(150) = 320
So the value of f(150) is 320
The input is 20
The output is 320
x is the number of hours
y or f(x) is the total cost
So this means f(150) = 320 represents the idea that 150 hours of renting the rowboat leads to a total cost of $320
Answer:
Hypothesis is: Intersection happens at a point
Step-by-step explanation:
A hypothesis in science is a suggested explanation of something that has a consequence or leads to an occurrence. Usually it will be written in the form of an "if and then" statement.
Such statement explains what would occur, or follow if the possibility enunciated in the "if" part of the statement happens.
In this case the hypothesis is that if there is intersection of lines, it has to occur at a point. Therefore the closest to that statement among the options given in the problem is the last one: "Intersection happens at a point"
Let's see, if the first one has a Principal of $50, when it doubles the accumulated amount will then be $100,
recall your logarithm rules for an exponential,
now, for the second amount, if the Principal is 500, the accumulated amount is 1000 when doubled,
now, for the last, Principal is 1700, amount is then 3400,
