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Ulleksa [173]
3 years ago
6

A sea lion dives to an altitude of -216.12 meters in 2.4 minutes. What is the average change in his altitude per minute?

Mathematics
1 answer:
xenn [34]3 years ago
3 0
-90.05 meters per minute
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Heidi worked 9 hours last week teaching an exercise class. She made $12.25 per hour.
Ksivusya [100]
Her final pay would be $110.25.

To find this, multiply the cost per hour with the hour to get her pay.

12.25 x 9 = 110.25

Hope this helps!
8 0
3 years ago
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which equation is the quadratic variation equation for the relatonship? the variable y varies directly with x^2 and y=36 when x=
svetoff [14.1K]

For this case we have a direct variation of the form:

y = kx ^ 2

Where,

  • <em>k: proportionality constant </em>

We must find the value of k.

For this, we use the following data:

y = 36\\x = 3

Therefore, replacing values we have:

36 = k (3) ^ 2

Rewriting:

36 = 9k

Clearing the value of k we have:

k = \frac {36} {9}\\k = 4

Therefore, the direct variation equation is given by:

y = 4x ^ 2

Answer:

The quadratic variation equation for the relatonship is:

y = 4x ^ 2

8 0
3 years ago
What is equivalent to 3^4 ⋅ 3^−9<br> ( exponents )
In-s [12.5K]
<span>3^4 ⋅ 3^−9
= 3^(4-9)
= 3^-5
= 1 / 3^5
= 1/243</span>
7 0
4 years ago
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Please please help me please help help me and show your steps please
Serga [27]

Answer:

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Step-by-step explanation:

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7 0
3 years ago
Henry has a reading list of 10 books that he can choose from to read this week. Identify the constraint for the number of books
lyudmila [28]

Answer:

  • b ≤ 10, which means <em>number of books less than or equal to 10.</em>

Explanation:

In mathematical language a<em> constraint</em> is a limitation on the values that a variable can take.

In this case, the constraint is given by the fact that there are 10 books in the reading list from which Henry can choose to read this week.

So, the number of books that he can read is 1, 2, 3, ..., 10 (at most). This is, 10 books is an upper bound.

To represent an upper bound, you use the inequality symbol ≤, which means less than or equal to.

Henry can read as many as 10 books, so that is less than or equal to 10.

If you call b the number of books, the constrain may be written as:

  • b ≤ 10.

constraint is a condition of an optimization problem that the solution must satisfy. There are several types of constraints—primarily equality constraints, inequality constraints, and integer constraints. The set of candidate solutions that satisfy all constraints is called the feasible set.[1

7 0
4 years ago
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