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3 years ago

Consider the expression. What is the result of applying the quotient of powers rule to the expression?

Mathematics

2 answers:

fenix001 [56]3 years ago

8 0

Answer:

Let us consider the expression:

$\frac{a^5\cdot b^6}{a^2\cdot b^9}$ (1)

Now, the quotient of power rules says that the numbers that have same base can be find by subtracting if powers are with same sign

And adding if powers are with opposite sign.

We will solve equation (1) by this quotient of power rule.

So, it can be rewritten as:

$a^{5-2}\cdot b^{6-9}$

$\Rightarrow a^{3}\cdot b^{-3}$ .

Harlamova29_29 [7]3 years ago

7 0

If were talking about this equation

Then the answer on edg is C

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Cherie is jogging around a circular track. She

skelet666 [1.2K]

Answer:

Measure of minor angle JOG is $95.5^{\circ}$

Step-by-step explanation:

Consider a circular track of radius 120 yards. Assume that Cherie starts from point J and runs 200 yards up to point G.

$\therefore m JG = 200 yards, JO=120 yards$ .

Now the measure of minor arc is same as measure of central angle. Therefore minor angle is the central angle $\angle JOG = \theta$ .

To calculate the central angle, use the arc length formula as follows.

$Arc\:Length\left(s\right) = r\:\theta$

Where $\theta$ is measured in radian.

Substituting the value,

$200=120\:\theta$

Dividing both side by 120,

$\dfrac{200}{120}=\theta$

Reducing the fraction into lowest form by dividing numerator and denominator by 40.

$\therefore \dfrac{5}{3}=\theta$

Therefore value of central angle is $\angle JOG = \theta=\left(\dfrac{5}{3}\right)^{c}$ , since angle is in radian

Now convert radian into degree by using following formula,

$1^{c}=\left(\dfrac{180}{\pi}\right)^{\circ}$

So multiplying $\theta$ with $\left(\dfrac{180}{\pi}\right)^{\circ}$ to convert it into degree.

$\left(\dfrac{5}{3}\right)^{c}=\left(\dfrac{5}{3}\right) \times \left(\dfrac{180}{\pi}\right)^{\circ}$

Simplifying,

$\therefore \theta = 95.49^{circ}$

So to nearest tenth, $\angle JOG=95.5^{circ}$

8 0

3 years ago

A color printer can print 36 pages in three minutes in 108 pages in nine minutes if the number of pages varies directly with the

nignag [31]

Answer:

12 pages per minutes

Step-by-step explanation:

36 pages in 3 minutes, so each minutes can print 12 pages

And 108 pages in 9 minutes, which is still 12 pages

So 12 pages per minute

7 0

3 years ago

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Airida [17]

Answer:

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3 years ago

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frozen [14]

Answer is HM. Hope this helps

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1 year ago

Rewrite the expression using the GCF and distributive property. (110-44)

Afina-wow [57]

let me divide your question into two parts A and B as;

A.Rewrite the expression using the GCF and distributive property. (110-44)

B.how many 24-foot jump ropes can be made from a rope that is 100 feet long?

Answer:

A.(110-44)=22(5-2)

B. 4 jump ropes of 24 feet length

Step-by-step explanation:

A.Rewrite the expression using the GCF and distributive property. (110-44

Answer:

Find the GCF of 110 and 44 then take that GCF as common factor out of (110-44) then we can get new expression for (110-44) as 22(5-2) i.e.

prime factorization of 110=2x5x11

and 44=2x2x11

GCf is the product of factors that appear in both of the prime factorization which is 2x11=22

thus using GCF (22) as common factor we can rewrite the given expression as

22(5-2) which is distributive law of multiplication over subtraction.

B.how many 24-foot jump ropes can be made from a rope that is 100 feet long?

Answer:

Given

Total length of the rope =100 feet

length of a jump rope =24

solution:

For one jump-rope we need 24 feet

For two jump-ropes we need 48 feet

For three jump-ropes we need 72 feet

For four jump-ropes we need 96 feet

thus from a 100 feet long rope we can make 4 jump-ropes of 24 feet length with 6 feet remaining as extra.

3 0

3 years ago