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IgorC [24]
3 years ago
14

List three ways to express 3^5 as a product of powers

Mathematics
1 answer:
Nostrana [21]3 years ago
6 0
1) 3^2 × 3^3 = (3×3)×(3×3×3) = 9×27 = 243

2) 3^1 × (3^4) = 3×(3×3×3×3) = 3×81 = 243

3) 3^0 × (3^5) = 1×(3×3×3×3×3) = 243
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Brandon is making a ramp . The ramp stands 3 feet tall and is 9 feet long . How long is the base of the ramp
tresset_1 [31]

Answer: 8.48 Feet

Step-by-step explanation:

We can use the Pythagorean Theorem, A^2 + B^2 = C^2

A^2 + B^2 = C^2

A^2 + 3^2 = 9^2

A^2 + 9 = 81

81 - 9 = A^2

72 = A^2

√72 = A

8.48 = A

Hope this helps!

8 0
2 years ago
How do you get horizontal asymptopes?
Nady [450]
<span>1) If the degree (the largest exponent) of the denominator is bigger than the degree of the numerator, the horizontal asymptote is the x-axis (y = 0).
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2) If the degree of the numerator is bigger than the denominator, there is no horizontal asymptote.</span></span>
4 0
3 years ago
Find a polynomial function of lowest degree with rational coefficients that has the given numbers as some of its zeros.
maw [93]

Answer:

f(x) = x^{3} - 5x^{2}   + 7x - 3

Step-by-step explanation:

If the polynomial has one root as 1 + i, it's conjugate 1 - i will also be its root.

Therefore, the polynomial has roots 1 + i, 1 - i, and 3.

So, the polynomial function of lowest degree with rational coefficients will be  

f (x) = (x - 3)(x - 1 - i)(x - 1 + i)  

⇒ f(x) = (x - 3)[ x^{2} - 2x + (1 + i)(1 - i)]

⇒f(x) = (x - 3)(x^{2} - 2x + 2)

⇒ f(x) = x^{3} - 5x^{2}   + 7x - 3 (Answer)

4 0
3 years ago
What are are some examples of rates? what do all of the example have in common?
svet-max [94.6K]
Examples: 4 check ups / 2 people, 10 dogs / 3 people, 7 computer / 10 people

Each of these shares a common thing. The numerator and denominator have different units.
6 0
3 years ago
Read 2 more answers
The weight of a truck would most likely be measured in which unit?
Darina [25.2K]
<span>Width of a sidewalk will most likely be measured in feet or yards. 


Weight of a truck will be measured in tons (where one ton = 2000 lb)</span>
5 0
2 years ago
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