The answer is going to be 250
The compound inequality for the temperature T of a refrigerator that is at least 35°F and at most 41°F is 35 ≤ T ≤ 41
A compound inequality has two inequality statements joined together
The the temperature of the inequality is represented by T
The temperature T of a refrigerator is at least 35°F and at most 41°F
This means that the temperature falls between 35°F and 41°F
Since the temperature, T, is at most 41°F
This can be mathematically interpreted as
T ≤ 41
The temperature, T, is at least 35°F
35 ≤ T
Combining the two inequality statements 35 ≤ T and T ≤ 41, the compound statement formed is:
35 ≤ T ≤ 41
The compound inequality for the temperature T of a refrigerator that is at least 35°F and at most 41°F is 35 ≤ T ≤ 41
Learn more here: brainly.com/question/11316045
Answer:
a = 2/3
Step-by-step explanation:
A cube root is the same as a 1/3 power. The square of that gives a 2/3 power.
a = 2/3
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<em>Additional comment</em>
You can see the relationship between a root index and an exponent if you consider what the root means.
Consider a cube root, for example. When you cube the root, you get the original number:
(∛x)·(∛x)·(∛x) = x
Now, let's write the root as a power of x: x^a.
(x^a)·(x^a)·(x^a) = x . . . . . where x^a = ∛x
We know this product is ...
x^(a+a+a) = x^(3a) = x^1
This tells us that ...
3a = 1 ⇒ a = 1/3
That is, ∛x = x^(1/3).
Of course an n-th root is multiplied by itself n times to get the original number, so the corresponding exponent is x^(1/n).
