Answers
Answer:
[tex] \frac{1}{ 9 }[/tex]
Step-by-step explanation:
[tex] \huge \frac{ {9}^{ \frac{1}{2}b } }{ {3}^{a} } \\ \\ = \huge \frac{ {( {3}^{2} )}^{ \frac{1}{2}b } }{ {3}^{a} } \\ \\ = \huge \frac{ { {3}}^{2 \times \frac{1}{2}b } }{ {3}^{a} } \\ \\ \huge = \frac{ {3}^{b} }{ {3}^{a} } \\ \\ \huge = \frac{1}{ {3}^{a - b} } \\ \\ \huge= \frac{1}{ {3}^{2} } \\ ( \because \: a - b = 2)\\ \\ \huge = \frac{1}{ 9 }[/tex]
The evaluation of the expression 9^((1/2)b)/3^a is 1/9
What are some basic properties of exponentiation?If we have a^b then 'a' is called base and 'b' is called power or exponent and we call it "a is raised to the power b" (this statement might change from text to text slightly).
Exponentiation(the process of raising some number to some power) have some basic rules as:
[tex]a^{-b} = \dfrac{1}{a^b}\\\\a^0 = 1 (a \neq 0)\\\\a^1 = a\\\\(a^b)^c = a^{b \times c}\\\\ a^b \times a^c = a^{b+c} \\\\^n\sqrt{a} = a^{1/n} \\\\(ab)^c = a^c \times b^c\\\\a^b = a^b \implies b= c \: \text{ (if a, b and c are real numbers and } a \neq 1 \: and \: a \neq -1 )[/tex]
Now, for this case, we are given that:
a - b = 2
The expression is:
[tex]\dfrac{9^\dfrac{1}{2}b}{3^a}[/tex]
Since we know that [tex]3^2 = 9[/tex], thus:
[tex]\dfrac{9^{\frac{1}{2}b}}{3^a} = \dfrac{(3^2)^{\frac{1}{2}b}}{3^a} = \dfrac{3^{2 \times 1/2 \times b}}{3^a} = \dfrac{3^b}{3^a} = \dfrac{1}{3^{a-b}}[/tex]
Since a-b = 2, therefore, we get:
[tex]\dfrac{9^{\frac{1}{2}b}}{3^a} =\dfrac{1}{3^{a-b}} = \dfrac{1}{3^2}} = \dfrac{1}{9}[/tex]
Thus, the evaluation of the expression 9^((1/2)b)/3^a is 1/9
Learn more about exponentiation here:
https://brainly.com/question/15722035
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Sorry if I’m wrong
One number is 5 more than another number. Three times the greater plus twice the lesser is 30. Determine the numbers.
Answers
Answer:
.
Step-by-step explanation:
Answer:
Step-by-step explanation:
One number is 5 more than another number. Three times the first plus twice the second is 30.Find the numbers.
x = first number
y = second number
x=y+5
3x +2y = 30
lets substitute x=y+5 in the second equation for x;
3(y+5) + 2y =30
3y + 15 + 2y = 30
5y + 15 =30
5y = 30 -15
5y = 15
y = 3
Now that we have y lets plug that answer into either equation for y;
x = 3 + 5
x = 8
:) if I’m wrong I’m very sorry.
PLS HELP QUICK!!
The volume V of a cylinder with radius r and height h is given by the formula V = (pi)r^2h. Solve the formula for r. Then find the radius of a cylinder with a height of 15 centimeters and a volume of 750cubic centimeters. Round to the nearest hundredth.
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Answer:
4
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Answer:
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
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Answer:
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3^2
+
4^2
=
5^2
Explanation: hope this helps
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Answers
Answer:
4 hours
Step-by-step explanation:
y = total cost
x = per hour
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Answers
Answer:
5 = side a
3 = side c
angle B = 62 degrees
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b = √19.916
b = 4.463
Rounded to the nearest tenth is 4.5 mm.
Hope this helps!
Step-by-step explanation:
Answer:
4.5 mm
Step-by-step explanation:
Help me, I will give brainliest to best answer. No work needs to be explained.
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Answer:
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2
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Answer:
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Answer:
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Step-by-step explanation:
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Answer:
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Answers
Answer:
11) 80°
12) 80°
13) 80°
14) 40°
15) 60°
16) 120°
17) 180°
18) 100°
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Step-by-step explanation:
This will take awhile, so I will just give you the theorems I used to determine my answer.
11) Supplementary angles theorem
12) Central Angles/Arcs Theorem
13) Vertical Angles Theorem
14) Central Angles/Arcs Theorem
15) Vertical Angles Theorem (The vertical angle minus 40 would equal 60)
16) Supplementary Angles Theorem (Supplementary to 100 degrees)
17) Central Angles/Arc Theorem
18) Vertical Angles & Central Angles/Arc Theorem
19) Angle Addition Postulate, somewhat
20) Angle Addition Postulate
Have a nice day, fam. This problem really worked my brain. Spread The Love.
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Answers
Answer:
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Answers
Answer:
X=135⁰
Step-by-step explanation:
The sum of angles= 540
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Answers
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Step-by-step explanation:
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30
Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:de
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4) 105° - minor arc; Angle Addition Postulate
5) 225° - major arc; Angle Addition Postulate
6) 45° - minor arc; Vertical Angles Theorem
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8) 240° - major arc; Angle Addition Postulate
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10) 180° - semi circle; Diameter Theorem or whatever it's called lol.
Additionally, I determined whether or not an angle was a major arc, minor arc, or semi circle with the knowledge that:
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Answer:
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Step-by-step explanation:
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Answer:
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Answer:
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Step-by-step explanation:
Answer:
4m^5
Step-by-step explanation:
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Answers
Answer:
9 in
Step-by-step explanation:
We need to find x in x^3 > 600
For x=8, 8^3 = 512 < 600 (Too Small)
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For x=10, 10^3 = 1000 > 600 (Too big)
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Rewrite this number in scientific notation.
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Answers
Answer:
57.0 * 10^12
Step-by-step explanation:
Answer:
5.7 x 10^13
Step-by-step explanation:
trust me