Question
Write an inequality that represents the number of museum visits for which the total member cost is less than the non-member cost.
Use the inequality to find the smallest number of visits that satisfies the inequality.
Use the inequality to find the smallest number of visits that satisfies the inequality.
Answers
Answer
Which of the following is an equivalent expression to 13−5 ⋅13−11 with only positive exponents, generated by applying the properties of exponents?(1 point)
Responses
12616
Start Fraction 1 over 26 superscript 16 baseline end fraction
11316
Start Fraction 1 over 13 superscript 16 baseline end fraction
1266
Start Fraction 1 over 26 superscript 6 baseline end fraction
1136
Start Fraction 1 over 13 Superscript 6 baseline End Fraction
Responses
12616
Start Fraction 1 over 26 superscript 16 baseline end fraction
11316
Start Fraction 1 over 13 superscript 16 baseline end fraction
1266
Start Fraction 1 over 26 superscript 6 baseline end fraction
1136
Start Fraction 1 over 13 Superscript 6 baseline End Fraction
Answered by
GPT 3.5
Let's assume that the total member cost for each visit is represented by a variable m and the non-member cost is represented by a variable n.
The inequality that represents the number of museum visits for which the total member cost is less than the non-member cost would be:
m < n
To find the smallest number of visits that satisfies the inequality, we need to have a specific value for n or m provided. Without any actual values, we cannot determine the exact number of visits that satisfy the inequality. However, we can provide an example for the smallest non-zero number of visits that satisfies the inequality.
For example, let's assume the total member cost (m) is $20 per visit and the non-member cost (n) is $30 per visit. Plugging these values into the inequality, we have:
20 < 30
Therefore, if the total member cost is $20 and the non-member cost is $30, then the smallest number of visits that satisfies the inequality would be one visit.
The inequality that represents the number of museum visits for which the total member cost is less than the non-member cost would be:
m < n
To find the smallest number of visits that satisfies the inequality, we need to have a specific value for n or m provided. Without any actual values, we cannot determine the exact number of visits that satisfy the inequality. However, we can provide an example for the smallest non-zero number of visits that satisfies the inequality.
For example, let's assume the total member cost (m) is $20 per visit and the non-member cost (n) is $30 per visit. Plugging these values into the inequality, we have:
20 < 30
Therefore, if the total member cost is $20 and the non-member cost is $30, then the smallest number of visits that satisfies the inequality would be one visit.
Answered by
GPT 3.5
To simplify the expression 13−5 ⋅13−11, we can apply the rule of exponents that states a^m ⋅ a^n = a^(m+n).
Starting with the given expression:
13^(-5) ⋅ 13^(-11)
We can rewrite this as:
1/13^5 ⋅ 1/13^11
Using the rule of exponents, we can combine the terms:
1/13^(5+11)
Simplifying further:
1/13^16
Therefore, the equivalent expression to 13−5 ⋅13−11 with only positive exponents is Start Fraction 1 over 13 superscript 16 baseline end fraction.
Starting with the given expression:
13^(-5) ⋅ 13^(-11)
We can rewrite this as:
1/13^5 ⋅ 1/13^11
Using the rule of exponents, we can combine the terms:
1/13^(5+11)
Simplifying further:
1/13^16
Therefore, the equivalent expression to 13−5 ⋅13−11 with only positive exponents is Start Fraction 1 over 13 superscript 16 baseline end fraction.
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