a and b are positive integers and a–b = 3. Evaluate the following:
27/1/3 b/9/ 1/2 a

A And B Are Positive Integers And Ab = 3. Evaluate The Following: 27/1/3 B/9/ 1/2 A

Answers

Answer 1

Answer:

[tex]\dfrac{1}{27}[/tex]

Step-by-step explanation:

Given that,

a-b = 3

We need to find the value of [tex]\dfrac{27^{\dfrac{1}{3}b}}{9^{\dfrac{1}{2}a}}[/tex].

We know that,

[tex]27=3^3\\\\9=3^2[/tex]

So,

[tex]\dfrac{27^{\dfrac{1}{3}b}}{9^{\dfrac{1}{2}a}}=\dfrac{3^3^({\dfrac{1}{3}b})}{3^2^{\dfrac{1}{2}a}}\\\\=\dfrac{3^b}{3^a}[/tex]

We know that : [tex]\dfrac{x^p}{x^q}=x^{p-q}[/tex]

So,

[tex]\dfrac{3^b}{3^a}=3^{b-a}[/tex]

Since, b-a = -3. So,

[tex]3^{b-a}=3^{-3}\\\\=\dfrac{1}{3^3}\\\\=\dfrac{1}{27}[/tex]

So, the value of the given expression is equal to [tex]\dfrac{1}{27}[/tex].


Related Questions

Is the slope for the line below positive or negative

Answers

Answer:

negative

Step-by-step explanation:

positive -> as x increases, y increases

negative -> as x increases, y decreases

A 4-story building is 29 feet tall. Between which two whole numbers does the height of each story lie?

Answers

Answer:

7 & 8

Step-by-step explanation:

29÷4=7.25

7<7•25<8

The inequality of the height of the building is given by 7 < A < 8 , where A is the height of the building = 7.25 feet

Given data ,

A 4-story building is 29 feet tall

So , the height of the each story is given by the equation ,

To determine the height of each story in a 4-story building, we divide the total height of the building (29 feet) by the number of stories (4).

A = 29/4

On simplifying the equation , we get

29 feet ÷ 4 stories = 7.25 feet per story

Now , the inequality representing the height of the building between the whole numbers is given by

7.25 lies between 7 and 8

So , the inequality is 7 < A < 8

Hence , the height of each story in the 4-story building lies between 7 feet and 8 feet

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Can someone please help?

Answers

Answer:

3) 35.98

4) 63.98

Step-by-step explanation:

3) [(7+7)×3.14÷2]+14=35.98

4) (7+7)×3.14+14×3=63.98

4 : 7 and 12 :
what the answer

Answers

Answer:

12: 21

Step-by-step explanation:

suppose that grade point averages of undergraduate students at one university bell-shaped distribution with a mean of 2.57 and a standard deviation of 0.4 describe where approximately 99.7% of a grade point averages lie

Answers

Answer:

2.57-0.4-0.4-0.4=1.37

2.57-0.4-0.4=1.77

so the answer is 1.37 between 3.77

Step-by-step explanation:

PLEASE HELP ASAP PLEASE

Answers

Answer:

Yo

So, if ya wanna solve this question and of course questions alike, ya gotta pay attention to the graph. mean All of these parabolic chart have the domain of R

Step-by-step explanation:

So there ya go

D=R

and now bout the range ya gotta find the vertex, which is:

[tex] x = \frac{ - b}{2a} \: \: y = \frac{Δ}{4a} [/tex]

now pay attention

X=2/–2=–1

y=–(–1)²–2(–1)+3=4

Now the highest point of your parabolic chart is 4 and the lowest point is endless which is (–♾,4]

Well, finally your answer is D

the answer is D. hope i helped

Does anybody know the answer to this?

Answers

Answer:

true

Step-by-step explanation:

Someone answer and explain ILL MARK BRAINLIEST!!!

Answers

Answer:

x=1, y=-2

Step-by-step explanation:

2x-3y=8 (1)                            

4x+3y=-2 (2)

From (1):

2x=8+3y

x=4+1.5y (3)

Subst (3) into (2)

4(4+1.5y)+3y=-2

16+6y+3y=-2

16+9y=-2

9y=-2-16

9y=-18

y=-2

subst y=2 in to (3)

x=4+(1.5*-2)

x=4-3

x=1

Ans: x=1, y=-2

will mark brainlist please please I got this wrong at school very urgent.;{

Answers

Answer:

2 my guy, not sure how to really explain in detail

In Hugo’s pencil pouch, 3/5
of the items are pencils and the rest are markers. If Hugo has 4 more pencils than markers, how many pencils does Hugo have?

Answers

Answer:

6?

Step-by-step explanation

Answer:

12

Step-by-step explanation:

given my picture if you didn't understand after you get to the last one its 4 more pencils left so that the answer is 12

solve by graphing
-2x-y<-2
y≥1/3x-4

Answers

Answer:

(2.571,-3,143)

Step-by-step explanation:

In a lottery game, a machine has 48 balls marked with numbers from 1-48 and six of them are taken out at random. A player picks six of these numbers, trying to match the six balls that come out of the machine in any order. If exactly 4 of those 6 numbers match those drawn, the player wins third prize. What is the probability of winning this prize? Give answer as a fraction or decimal rounded to 4 significant digits in either standard or scientific notation. Hint: there is more than one way to win, take into consideration all the ways to pick the 4 winning numbers and the 2 losing numbers.

Answers

Answer:

7.5

Step-by-step explanation:

5.6+45,693u+ 2a+ = 7.5

Someone please help me it’s so hard

Answers

Answer:

m=2

b=1

Equation is y=2x+1

If an item weighs 45 kilograms, what is its weight in pounds?
20
63
90
99

Answers

Answer:

99

Step-by-step explanation:

Answer:

99

Step-by-step explanation:

g

3x + y = 4

8x + 2y = 10

Answers

Answer:

I take it that we solve for x and y, so we have

3x + y = 4, so we have y = 4 - 3x

and plug that in to

8x + 2y = 10

8x - 6x + 8 = 10

so

2x = 2

x = 1

y = 4 - 3

y = 1

Find the roots/zeroes of the following polynomial

x^2−19=6

Answers

Answer:

x=5 and x=-5

Step-by-step explanation:

1. first you would subtract 6 from both sides to set the equation = to zero.  

2. The equation would then be x^2-25=0.

3. that is a difference of two squares polynomial. So when you factor it, it is (x+5)(x-5)=0

4. by the zero product property, the roots are 5 and -5.

Plz help...... ASAP...... PLZ??

Answers

Answer:

The option on the top right.

Step-by-step explanation:

Because this is to be done asap, I will not take time to explain.

Answer:

Answer is the option in the top right

Step-by-step explanation:

The choice in the top right has a 4 x 4 base and the triangle has a height of 6 corresponding to the figure in the top.

Which fraction is not greater than 2/5

Answers

Answer:

1/5

Step-by-step explanation:

Because it is 0.2 and 2/5 equal 0.4

What is the equation of the line that passes through the point (-8, 3) and has a
slope of -1?

Answers

Answer:

y=-x-5

Step-by-step explanation:

y-3=-1(x-(-8))

y-3=-1(x+8)

y-3=-1x-8

y=-1x-8+3

y=-1x-5

can i get a subway sand which ahhhhhhhhhhhhhhhhh hhhhhhhhhhhuuuuuuuuuuuuuuuuuuuuuhhhhhhhhhhhhhhhhhhhhhh

Answers

Answer:

shore sis :))))))))))))))))))))))

Answer:

Yes

Step-by-step explanation:

First go to Subway and order your meal!!!

Hope this helps

can someone help me with credit recovery

Answers

Answer:

Credit recovery is a term used to describe a wide variety of educational strategies and programs that give high school students who have failed a class the opportunity to redo coursework or retake a course through alternate means—and thereby avoid failure and earn academic credit.

Step-by-step explanation:

I'm not sure if this help but if it does good luck with it.

put the following equation on a line into slope intercept form simplified all fraction 12 x + 3 Y equals -18 ​

Answers

slope intercept form: y=mx+b
12x+3y=-18 subtract 12x on both side
3y=-12x-18 divide both sides by 3
y=-4x-6 is the answer

How many inches are in 1/2
feet?

Answers

Answer:

1/2 feet = 6 inches

Step-by-step explanation:

my answer needs to be at least 20 words so don't mind this <3

Answer:

Hello!!! erz here ^^

Step-by-step explanation:

A foot is 12 inches,

Since we are finding out what half of a foot is, we should divide 12 by 2.

Ur answer is... 6 inches :D

Hope this helps!! :D

Which range contains the value of √25-4+16?

Answers

Answer:

A) Between 6.0 and 6.2

Step-by-step explanation:

[tex]\sqrt{25-4+16} \\\sqrt{41-4}\\\sqrt{37}[/tex]

6.08

x less than 8 as an algebraic expression

Answers

Answer:

It would be 8 - x

Step-by-step explanation:

Hope This Helps :)

Plz Mark Brainliest if Correct!

The sum of a number and 5 is greater than 23. Don’t solve( write an inequality to math the phrase).

Answers

Answer: 7

Step-by-step explanation: imma just give answer oki

Find the radius of this circle

Answers

Answer:

the radius is 3

Step-by-step explanation:

3 to the second power is the only number that would equal 9 and the circle tells us that the ending value of r is 9

hope this helps <3

Find the slope of a line that passes through the following points
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A. 4/1
B. 1/4
C. -1/4
D. -4,1

Answers

Answer:

-4/1

Step-by-step explanation:

slope = rise/run= -4/1= -4

if my answer helps please mark as brainliest.

Simplify: 14ba2+21ab2−ab2.

Answers

14ba^2+20ab^2 because you subtract one from 21ab^2

The given expression 14ba²+21ab²−ab² can be simplified to 14ba²+20ab².

What is simplification?

In arithmetic, the operation and interpretation of a function to make it simpler or easier to grasp is known as simplifying, and the process itself is known as simplification.

The expression is given in the question, as follows:

14ba²+21ab²−ab²

When you add or subtract similar terms, you can combine their coefficients. In this case, 21ab² and -ab² have the same base (ab²) and so their coefficients can be added together. 21 - 1 = 20, so 21ab² - ab² = 20ab².

Thus, the given expression can be simplified to 14ba²+20ab².

Learn more about Expressions here:

brainly.com/question/13947055

#SPJ2

12 more than p is equal to 67​

Answers

The answer of p is going to be 55
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