A function is shown f(x)=2/3x+3 what is the value of f(12)
Answers
The value of f (12) will be;
⇒ f (12) = 11
What is substitution method?
To find the value of any one of the variables from one equation in terms of the other variable is called the substitution method.
Given that;
The function is,
⇒ f (x) = 2/3x + 3
Now,
Since, The function is,
⇒ f (x) = 2/3x + 3
Substitute x = 12 in above equation, we get;
⇒ f (x) = 2/3x + 3
⇒ f (12) = 2/3 × 12 + 3
⇒ f (12) = 2 × 4 + 3
⇒ f (12) = 11
Thus, The value of f (12) will be;
⇒ f (12) = 11
Learn more about the substitution method visit:
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Answer:
55/18
Step-by-step explanation:
f(x) = 2/3*12 +3
= 1/18 +3
=55/18
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The average number of moves a person makes in his or her lifetime is 12. If the standard deviation is 3.2, find the probability that the mean of a sample of 36 people is less than 10.
Answers
IQR = Q3 - Q1 //range for 50% middle values (of all values in the data)
thus Q1 is left side of the gray box, Q3 is right side of the gray box
Q1 = 8 //25% values are less or equal than Q1
Q3 = 18 //25% values are more or equal than Q3
answer: Q3 = 18
Answers
The area would be 144cm^2.
In order to find the area, we need to know the length of the rectangle. We can find that using the perimeter formula.
2l + 2w = P
2l + 2(36) = 80
2l + 72 = 80
2l = 8
l = 4
So now that we know the length is 4, we can find the area using that formula.
A = lw
A = (4)(36)
A = 144
Answers
If you have a RIGHT triangle with a 29-degree angle in it, and you
divide the length of the leg adjacent to the angle by the length of the
hypotenuse, then it doesn't matter whether the triangle is drawn on
the head of a pin or on a piece of paper that reaches from the Earth
to the Moon, the quotient of (adjacent)/(hypotenuse) will always be
the same number ... about 0.875 .
That number is a property of every 29-degree angle, no matter the size
of the right triangle that it's in. It's called the cosine of 29 degrees.
If you were to divide the leg opposite the 29-degree angle (instead of
the adjacent leg) by the length of the hypotenuse, you'd get a different
number ... about 0.485 . That number is also a property of every 29-degree
angle, no matter the size of the triangle around it. That one is called
the sine of 29 degrees.
I just used 29 degrees as an example. Every angle has a sine and
a cosine, and a few other things too.
If you have an angle, there's no easy way to calculate its sine or its
cosine. You just have to look them up. They're in tables in books,
or on line (just put 'cosine 29' in Google), and if you have a calculator,
they're probably on your calculator too.
You don't know yet what these are good for, or what you can do with
them. That'll be coming up in math before you know it !
So the easiest answer to your question is:
Every angle has properties, characteristics, and aspects of its
personality that you never notice until you really get to know it.
They're called the sine, the cosine, the tangent, the cotangent,
the secant, and the cosecant. They're all numbers, and every
angle has a full set of them !
Answers
Answers
u would use dmas :
1. division
2. multiplication
3. addition
4. subtraction
400 ÷ 77 = 5.19
5.19 x 100 + 2000 - 55 + 999
5.19 x 100 = 519
519 + 2000 - 55 + 999
519 + 2000 + 999 = 3518
3518 -55 = 3463
hope this helps
= 400/ (7700+ 2000 -55+ 999)
= 400/ 10,644
= 100/2661
The final answer is 100/2661~
linear function with a positive rate of change
exponential decay function
exponential growth function
Answers
Answer: linear function with a negative rate of change
Step-by-step explanation:
A linear function is of the form where x is a independent variable and y is a dependent variable . Here the dependent variable increase ( or decrease)c with a constant rate of increase (or decrease).
An exponential functionis a mathematical function of the form where x is a independent variable, and A is a constant called the initial value of the function. Here the dependent variable increase ( or decrease)c with a constant ratio or percentage.
Given: $1000 is taken out of a bank vault each day and nothing is added back.
So the money in the bank vault decreasing by a constant rate of $1000.
Thus, this shows linear function with a negative rate of change models the situation.