Answer:
c = 2.25
Step-by-step explanation:
f(x) is a continuous and differentiable function on the interval, so the Mean Value Theorem guarantees a value for c exists.
The average slope is ...
m = (f(4) -f(1))/(4 -1) = (24 -12)/3 = 4
The point at which the derivative is 4 is ...
f'(c) = 6/√c = 4
√c = 6/4
c = 2.25
Answer:
1/4
Step-by-step explanation:
The answer is 1/4 because their is a total number of 4 outcomes (denominator) and there in only 1 chance (numerator) that you will not get tails.
Answer:
B
Step-by-step explanation:
<em>Hopes This Helps :)</em>
Answer:
A. 9.6
B. √92
Step-by-step explanation:
<h3>A.</h3>
Rational: 9.6. It is rational because it is a terminating decimal number.
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<h3>B.</h3>
Irrational: √92 ≈ 9.59166.... It is irrational because it is the square root of an integer that is not a perfect square. All such square roots are irrational.
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<em>Additional comment</em>
In general, the n-th root of an integer that is not a perfect n-th power will be irrational. For example, ∛885 ≈ 9.600954766... is irrational, because 885 is not a perfect cube. (9³=729, 10³=1000)
Trig functions of (non-zero) rational angles in radians will be irrational. For example, tan(1.467) ≈ 9.5996286... is irrational.
Answer:
Other:
, 0.25
Whole Numbers: -20, -6
Natural Numbers: 532, 10, 0, 
Step-by-step explanation:
Natural numbers have to be positive whole numbers such as 10 and 0
Whole numbers are similar, but you can have negative numbers here. You just can't put fractions in there.
The 3rd section is a little odd, Integers don't use fractions or decimals, same as whole numbers. The fractions and decimal numbers would go outside of that section.
Extra note:
might be a tricky one because it is in fraction form but it is also written as 3. This means it is a natural number. The reason numbers such as
and 0.25 are not natural numbers is because they cannot be put as whole numbers.