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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Joey and her sister are helping remodel their parent's house.
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The carpet is priced at $1.90 per square foot.
How much can they expect to pay for the new carpet?
Answers
Answer:
They will have to pay $425.60
Step-by-step explanation:
14*16 equals 224 feet
224 feet times $1.90 equals $425.60
Mrs Chen buys 3 identical boxes of chocolates from a super market .
She uses a $50 note to pay for them and gets $8 change. How much does
each box of chocolates cost?
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Answer:
50 - 8 = 42
divide 42 by 3!
5.25
y = -3/2x -2 y = -1/4 + 3
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Answer:
umm. what am I supposed to find
Step-by-step explanation:
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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
Step-by-step explanation:
750=3.14 × r^2 ×15 you divide 750 by 3.14 then by 15, then you take the square root
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Answer:
Equation:
x + 2 = -1
x = -1 - 2
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Find the value of x then find the angle measures of the polygon
Answers
Answer:
X=135⁰
Step-by-step explanation:
The sum of angles= 540
Angles are x⁰ x,⁰(x-45⁰),(x-45)⁰
x+x+x+x-45+x-45+x-45=540
5x-135=540 simplify
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divide both sides by 5
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hope it helps....
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Help me, I will give brainliest to best answer. No work needs to be explained.
Write three hundreths as a decimal.
Use digits to write each decimal number:
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b. one hundred twenty-five ten-thousandths
c. three hundred and seventy-five thousandths
Answers
Answer:
3.00 I think or 30.0 I really don't know but that's what I think
Rewrite this number in scientific notation.
57,000,000,000,000
Answers
Answer:
57.0 * 10^12
Step-by-step explanation:
Answer:
5.7 x 10^13
Step-by-step explanation:
trust me
What is 5x6 equal too?
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Answer:
30
Step-by-step explanation:
6+6+6+6+6 or 5+5+5+5+5+5
Answer:
30
Step-by-step explanation:
cause you can do it mentally or you can do 5+5+5+5+5+5, cause its 5 six times. Or 6 five times. 6+6+6+6+6
What are two numbers that when multiplied equal -30 and when added together equal 1?
Answers
Answer:
6 and -5
Step-by-step explanation:
6 times -5 = -30
6 + (-5) = 1
There are 120 pieces of candy in a bag. Fill in the table below to determine the number of pieces of each color
Answers
Answer:
Blue = 30
Green = 24
Red = 54
Orange = 12
Step-by-step explanation:
hahahshahhahahahahahauehfudbrog f ghg
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Answer:
11) 80°
12) 80°
13) 80°
14) 40°
15) 60°
16) 120°
17) 180°
18) 100°
19) 120°
20) 280°
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:
4 hours
Step-by-step explanation:
y = total cost
x = per hour
Equation:
y = 200.97 + 30.39x
322.53 = 200.97 + 30.39x
322.53 - 200.97 = 30.39x
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Answers
Sorry if I’m wrong
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One number is 5 more than another number. Three times the greater plus twice the lesser is 30. Determine the numbers.
Answers
Answer:
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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
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5y = 15
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Answers
Answer: m3 for the first one
Step-by-step explanation:de
This could take a while, so I'll simply put the answer with the theorem I used to figure it out with.
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2) 180° - semi circle; Diameter Theorem? (Whichever theorem states that the diameter separates a circle into two 180° semi circles)
3) 75° - minor arc; Angle Addition Postulate
4) 105° - minor arc; Angle Addition Postulate
5) 225° - major arc; Angle Addition Postulate
6) 45° - minor arc; Vertical Angles Theorem
7) 135° - minor arc; Angle Addition Postulate
8) 240° - major arc; Angle Addition Postulate
9) 315° - major arc; Angle Subtraction Postulate, i think? lol.
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:
minor arc - less than 180 degreesmajor arc - more than 180 degreessemi circle - is 180 degrees.Have a nice day, fam. Spread The Love. lol I'm tired after typing all this out :P
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Answers
3^2
+
4^2
=
5^2
Explanation: hope this helps
What is the length of JK¯¯¯¯¯, to the nearest tenth of a millimeter? 4.5 mm 5.6 mm 8.3 mm 19.9 mm A horizontally-aligned scalene triangle J K L. Side J L is labeled as 3 millimeters. Side L K is labeled as 5 millimeters. Angle L is labeled as 62 degrees.
Answers
Answer:
5 = side a
3 = side c
angle B = 62 degrees
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Use the Law of Cosines to find the length of side b.
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b^2 = (5^2 + 3^2) − ( 2 x 5 x 3) cos(62°)
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Step-by-step explanation:
Answer:
4.5 mm
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
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Answers
Answer:
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Step-by-step explanation:
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Answers
Answer:
2
Step-by-step explanation:
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Answer:
-5x=10
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Step-by-step explanation:
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Answers
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
Answer:
4m^5
Step-by-step explanation: