Answer:
An expression that represents repeated multiplication of the same factor is called a power.
Step-by-step explanation:
The number 5 is called the base, and the number 2 is called the exponent. The exponent corresponds to the number of times the base is used as a factor.
Answer:
First term: 5
Fourth term: 5 1/2
Tenth term: 6 1/2
Step-by-step explanation:
Let's find the first, fourth and tenth terms of the arithmetic sequence described by the given rule:
A(n) = 5 + (n-1) (1/6)
First term:
A(1) = 5 + (1-1) (1/6)
A(1) = 5 + (0) (1/6)
A(1) = 5
Fourth term:
A(4) = 5 + (4-1) (1/6)
A(4) = 5 + (3) (1/6)
A(4) = 5 + 3/6 = 5 3/6 = 5 1/2 (simplifying)
Tenth term:
A(10) = 5 + (10-1) (1/6)
A(10) = 5 + (9) (1/6)
A (10) = 5 + 9/6 = 6 3/6 = 6 1/2 (simplifying)
Answer:
12 days
Step-by-step explanation:
Answer:
z = 42
Step-by-step explanation:
The question can be answered in 2 steps as follows:
Step 1: Calculation of the constant of the variation
The equation for the joint variation can be given as follows:
z = cxy ................... (1)
Where;
z = 60
c = constant = ?
x = 5
y = 6
Substituting the values into equation (1) and solve c, we have:
60 = c * 5 * 6
60 = c * 30
c = 60 / 30
c = 2
Step 2: find z when x = 7 and y = 3
Since from Step 1 c = 2, we now use equation (1) and substitute the values into it to find z as follows:
z = 2 * 7 * 3
z = 42
