To represent the relationship between the set number and the number of sit-ups, you can use a simple verbal description: "The number of sit-ups in each set is half of the number in the previous set". The relationship between the set number and the number of sit-ups can be represented as a geometric sequence, where each set has half the number of sit-ups as the previous set. This can be calculated using the formula for a geometric sequence.
To represent the relationship between the set number and the number of sit-ups that Calvin and Mike do, you can use a mathematical expression or formula. In this case, the number of sit-ups in each set decreases by half compared to the previous set. You can express this relationship using an exponential decay formula:
Where:
represents the number of sit-ups in the nth set.
is the initial number of sit-ups in the first set (which is 64 in this case).
represents the reduction factor, as each subsequent set has half as many sit-ups.
n is the set number.
Using this formula, you can easily calculate the number of sit-ups in any set. For example, to find the number of sit-ups in the 4th set (n = 4), you would substitute n = 4 into the formula:
So, in the 4th set, Calvin and Mike do 8 sit-ups. This formula allows you to determine the number of sit-ups for any set without manually calculating each time.
Learn more about Geometric Sequence here:
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Answer:
64/2=32 32/2=16 16/2=8 8/2=4 4/2=2 2/2=1
Step-by-step explanation:
if you were to use a in and out chart you can you can set the in as the starting amount (64) and make the out/formula ÷2
A-The answer must be less than 5/6.
B-The answer cannot be an improper fraction.
C-5/6 of a number cannot be greater than the number.
D-The denominator cannot be the same as one of the factors.
Answer:
The answer is 25/18, not 7/3.
Step-by-step explanation:
1 2/3=5/3
5/6*5/3=25/18
Answer:
C-5/6 of a number cannot be greater than the number.
Step-by-step explanation:
5/6 × 1 2/3 is 7/3.
First let's solve it:
1 2/3 = (1 *3) + 2 / 3 = 5/3
5/6 × 5/3 = 25/18
A is wrong because the answer is not less than 5.6
B is wrong because the answer is an improper fraction.
D is wrong because the denominator is the same as one of the factors.
Therefore it has to be C.
2/3 * 1 = 2/3
Therefore how can 5/6, which is less than 1, multiply by 2/3 and get a greater answer.