The increase of the radius is a linear increase since we have the constant rate of 0.07 inches per second
The equation for a linear growth/decay is given by the form
where
is the rate of increase and
is the value of
when
We have
when
So the equation is 
The length of the radius when
seconds is
inches
For this case we have that according to the order of algebraic operations PEMDAS, the multiplications have priority over the addition and subtraction, then, we have the following expression:
Thus, the value of the expression is 1000.
Answer:
Naming each number in word with the use of place value to name whole numbers: we have;
<em>4. Five hundred and twenty-five thousand, Six hundred minutes.</em>
<em>4. Five hundred and twenty-five thousand, Six hundred minutes.5. Two-million, six-hundresd and seventeen thousand, one-hundred and seventy six.</em>
<em>4. Five hundred and twenty-five thousand, Six hundred minutes.5. Two-million, six-hundresd and seventeen thousand, one-hundred and seventy six.6. Eighteen thousand, five-hundred and fourty-nine thousand dollars.</em>
Using place value to name whole numbers involves orderly naming the numbers from right to left from unit, tens, hundreds, thousands, ten thousands and so on.
Ultimately, the naming of the numbers is as done above.
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For a given function f(x) we define the domain restrictions as values of x that we can not use in our function. Also, for a function f(x) we define the inverse g(x) as a function such that:
g(f(x)) = x = f(g(x))
<u>The restriction is:</u>
x ≠ 4
<u>The inverse is:</u>
Here our function is:
We know that we can not divide by zero, so the only restriction in this function will be the one that makes the denominator equal to zero.
(x - 4)^2 = 0
x - 4 = 0
x = 4
So the only value of x that we need to remove from the domain is x = 4.
To find the inverse we try with the general form:
Evaluating this in our function we get:
Remember that the thing above must be equal to x, so we get:
From the two above equations we find:
b = 11
a = 4
Thus the inverse equation is:
If you want to learn more, you can read:
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Answer:
60km
Step-by-step explanation:
we multiply 30 with 2 and we get the answer as 60km in two hours.
