The fifth term of a sequence that is represented by f(n) = 5n - 2 will be 23.
A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
The sequence is formulated in the function f(n) is given as,
f(n) = 5n - 2
The fifth term of a sequence is calculated as,
f(5) = 5 x 5 - 2
f(5) = 25 - 2
f(5) = 23
The fifth term of a sequence that is represented by f(n) = 5n - 2 will be 23.
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The given ratios 9/15 and 6/10 are equivalent form is a proportion of 3/5.
The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.
To determine whether the ratios 9/15 and 6/10 form a proportion, we need to check whether the cross-products of these ratios are equal. The cross-product of two ratios is found by multiplying the numerator of the first ratio by the denominator of the second ratio, and vice versa.
In this case, the cross-product of the ratios 9/15 and 6/10 is (9 x 10) / (15 x 6) = 90/90 = 1. Since the cross-products of these ratios are equal, the ratios 9/15 and 6/10 form a proportion.
Alternatively, we can also check whether the two ratios are equivalent. To do this, we can simplify both ratios to their lowest terms.
The simplified form of the ratio 9/15 is 3/5, and the simplified form of the ratio 6/10 is 3/5. Since the simplified form of both ratios is the same, the ratios are equivalent and form a proportion.
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Answer:
Greece has the larger difference between categories
Step-by-step explanation:
Difference in categories of Brazil
Difference in categories of Greece
Thus, Greece has the larger difference between categories
Answer:
Greece had a larger difference ($7.07)
Step-by-step explanation:
Brazil -
18.33 - 12.25 = 6.08
Greece-
16.55 - 9.48 = 7.07
The amount paid for first place pay when second place pays $36 is $60.
Given
First and second place in a contest uses a ratio to share a cash prize.
When first place pays $100, second place pays $60.
The quantitative relation between two amounts shows the number of times one value contains or is contained within the other:
Let, x be the amount paid in the first place when the second-place pays.
Then,
Hence, the amount paid for first place pay when second place pays $36 is $60.
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Answer:
Step-by-step explanation:
Using a proportion
Let
x-------> the pay of the first place when the second place pays