Answer:
f=21
Step-by-step explanation:
The equation you could write is -4f=-84. Solving this (dividing by -4 on both sides), your answer is that f=21.
The answer is b because it is the greater the the other one.
Answer:
C. 262 cm
Step-by-step explanation:
Use the formula for the volume of a sphere, V = r³
Since the diameter is 10 cm, the radius will be 5 cm
Plug in the radius into the formula:
V = (5³)
V = (125)
V = 523.6
Since the bowl is a hemisphere, divide this by 2:
523.6/2
= 261.8
Rounding to the nearest cm, the volume of the bowl is 262 cubic cm.
So, the correct answer is C. 262 cm
Answer:
The expression is irrational.
Step-by-step explanation:
Irrational and rational numbers are all real numbers. However, rational numbers can also be expressed in terms of a fraction where as irrational numbers are composed of non-terminating and non-repeating decimals. So, irrational numbers are numbers that when calculated produce a decimal that has no end and has no pattern of repetition. Anytime you calculate with an irrational number, no matter multiplication, division, subtraction or addition, the answer will always be irrational. In the given expression, is an irrational number because it is an imperfect square and will produce a non-terminating and non-repeating decimal when solved:
= 1.7320508...
Since the expression contains an irrational number, the solution must also be irrational.
Answer:
a(1) = 2
a(n) = a(n-1)+4
Step-by-step explanation:
Using the given arithmetic sequence,
a1 is 2
a2 is 6
a3 is 10
a4 is 14
a5 is 18
and to get from a1 to a2 you have to +4, to get from a2 to a3 you have to +4 and so on.
In a reclusive formula you need to find two pieces of information:
1. The first term of the sequence
2. The pattern rule to get any term from the term that comes before it
Using the given sequence, the first term is 2 and the rule to get any term from its previous term is +4.
So, putting that information in the form of a recursive formula will read as the following:
an+1 = an+4
a1 = 2, n is greater or equal to 1 (n is an interger)
Which can be rearranged to
a(1) = 2
a(n) = a(n-1)+4