Provide an appropriate response.The product, power, and quotient rules enable us to simplify expressions like loga. Explain why such expressions can always be simplified without using the quotient rule.

What will be an ideal response?


The quotient  can be written as the product rs(p-1)(v-1)

Mathematics

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Match the surface show below to the graph of its level curves.

A.

B.

C.

D.

Mathematics

Solve the problem.Don James wants to invest $63,000 to earn $1547 per year. He can invest in  bonds paying  per year or in a Certificate of Deposit (CD) paying  per year. How much money should be invested in each to realize exactly $1547 in interest per year?

A. $29,000 in B-rated bonds and $34,000 in a CD B. $34,000 in B-rated bonds and $29,000 in a CD C. $35,000 in B-rated bonds and $28,000 in a CD D. $28,000 in B-rated bonds and $35,000 in a CD

Mathematics

Mark as true any statement that is always true. Mark as false any statement that is never true or that is not necessarily true. Be able to justify your answers.

1. The area of a square with side s is less than the area of an equilateral triangle with side s.
2. For a triangle with side lengths a, b and c

3. The area of a 45°–45° triangle with leg length 2 inches is the same as the area of a square with
leg length ?2 inches.
4. Surface area may be expressed in centimeters.

Mathematics

Use the Factor Theorem to determine whether the linear polynomial is a factor of the second polynomial.x - 2; x3 + 13x2 + 34x - 48

A. Yes B. No

Mathematics