50 points and brainliest!
a and b are positive integers and a-b=2. Evaluate the following: 27^1/3^b/9^1/2^a
(a picture will be provided as well)

50 Points And Brainliest! A And B Are Positive Integers And A-b=2. Evaluate The Following: 27^1/3^b/9^1/2^a(a

Answers

Answer 1

Answer:

Step-by-step explanation:

[tex]\frac{27^{1/3b}}{9^{1/2a}}[/tex]

We know that 27^(2/3) = 9. So:

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

note: 9^(1/2a) = 9^((2/3)(1/2)(a)) = 27^(1/3a)

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

9 is the answer

Answer 2

Answer:

1/9

Step-by-step explanation:

a - b = 2

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


Related Questions

LifeCharge Batteries claims that their batteries last an average of 210 hours when used in a hand held gaming system, with a standard deviation of about 9 hours. An independent quality control company took a sample of 34 batteries, and used the same hand held gaming system that LifeCharge used to record the time the batteries lasted.
1. Assuming the claim is true, what is the probability that the value of the sample mean is greater than 251.7 hours.
2. The sample mean was found to be 251.7, what does this say about the claim?
A. The sample mean is quite far off from the mean claimed, casting doubt on the current mean.
B. The sample mean is sufficiently close to the mean claimed, supporting the current mean.
C. The sample mean found does not truly support nor cast doubt on the current mean.

Answers

Answer:

The answer is "0.0023 and Choice a"

Step-by-step explanation:

In point a:

The central limit theorem:

[tex]\mu_{X}= 250\\\\\sigma_{X}=\frac{\sigma}{\sqrt{n}}=\frac{6}{\sqrt{100}} =0.6\\\\P(\bar{X}>251.7)\\\\=P(z>\frac{251.70-250}{0.6})\\\\=P(z>2.83)\\\\=1-0.9977\\\\=0.0023[/tex]

In point b:

The chance is lower than 0.05. This means that it is very rare to see the average sample above 251.8 if the argument is valid, that is why the means of the sample is far away from the common claimed and casts doubt on the actual mean.

PLS HELP FAST NO LINKS
Use the trapezoid to answer the question.

Choose all the attributes that describe the trapezoid.

A. It has four acute angles,
B. It has two obtuse angles.
C. It has no perpendicular sides.
D. It has one pair of parallel sides.
E. It has two pairs of parallel sides.

Answers

Answer:

D and B would be your answer

Answer ASAP for BRAINLIEST (NO LINKS OR I REPORT)

Answers

Answer:

radius = 3 feet

Step-by-step explanation:

V = 1/3πr²h

15π = 1/3πr²·5

you can divide each side by 5π to get:

3 = r²/3

r² = 9

r = [tex]\sqrt{9}[/tex] which is 3

Answer:

3

Step-by-step explanation:

((r^2)h[tex]\pi[/tex] )/3=volume of a cone

[tex]15\pi =((r^2)h\pi )/3[/tex]

they say that the height is 5 so insert 5 for h

[tex]15\pi =\frac{r^2(5)\pi } {3}[/tex]

solve for r

multiply both sides by 3

[tex]45\pi =r^25\pi[/tex]

divide both sides by 5

[tex]9\pi =r^2\pi[/tex]

[tex]r=3[/tex]

Hope that helps :)

jannie recieves 150 pocket money per month in the new year his mother decided to increase his pocket money in the ratio 6 is to 5 calculate jannies adjusted monthly pocket money ​

Answers

Answer:

Answer and steps are in picture.

Branliest to correct answer explain how you got your answer please

Answers

10.7%

possibility to get a blue marker : 4/15

possibility to get a green marker: 6/15

possibility to get a blue then a green: 24/225

= 10.666666%
= 10.7%

Please please help me please please help please

Answers

no it is not!!!!!!!!!!!!!!!!!!!!

A card is drawn from a deck of 52 cards. Find the probability of drawing a black card.

14) Find the probability of drawing a red card.

15) Find the probability of drawing a red or black.

16) Find the probability of drawing an ace.

17) Find the probability of drawing either a jack or queen or king.

Answers

Answer: See below

Step-by-step explanation:

14) 26/52 of the cards are red, 1/2

15) All of the cards are red or black, 1/1

16) 4/52 of the cards are aces, 1/13

17) 12/52 of the cards are J/Q/K, 3/13

Convert the fractions to whatever unit is needed.

Answer:

14) 26/52

15) 52/52

16) 4/52

17) 24/52

Step-by-step explanation:

10 The cost to rent the cabin is $125 per night, plus a $50
non-refundable cleaning fee. Which equation would find the
total cost C of staying at the cabin for n nights?
A C = 125n + 50
B C = 50n + 125
с
n = 125C + 50
D 125
50C +n

Answers

Answer:

C=125n+50

Step-by-step explanation:

each night you stay represents "n" so if you stayed 3 nights(n)

you would multiple 125x3= 375

plus the $50 non refundable charge

Easy easy easy point easy please explain and make it quick as possible

Answers

Answer:

--

Step-by-step explanation:

so basically when we write all three of the expressions in one fraction we get the same answer for all three multiplications.

a. (3/4)*7=(3*7)/4

b. 7*(3/4)=(7*3)/4

c. 3*(7/4)=(3*7)/4

when we change the place of the values that are being multiplied the value of the multiplication does not change, that's why they will be have the same answer and when we multiply all the operations, we get the same value as the answer.

Answer:

Step-by-step explanation:

so basically when we write all three of the expressions in one fraction we get the same answer for all three multiplications.a. (3/4)*7=(3*7)/4b. 7*(3/4)=(7*3)/4c. 3*(7/4)=(3*7)/4when we change the place of the values that are being multiplied the value of the multiplication does not change, that's why they will be have the same answer and when we multiply all the operations, we get the same value as the answer.

Use the Cross Products Property to solve x/35 = 2/7.

Answers

7 times x, 35 times 2
7x=70
divide both sides by 7
x=10

Answer:

x = 10

Step-by-step explanation:

Set up:

[tex]\frac{x}{35} = \frac{2}{7} \\[/tex]

Cross multiple:

7x = 70

Divide by 7

x = 10

In a set of three lines, a pair of parallel lines is intersected by a transversal. The intersection forms eight special angles. Two of the special angles, A and B, are corresponding angles.

For the set of parallel lines intersected by a transversal, A=4x and B=-5(x-18).

Part A: Write an equation to represent the corresponding relationship betweenA andB.
Part B: Use the equation to find the measures of A and B.

Answers

Answer:

Part A: 4x = -5(x-18)

Part B: A and B both = 40 degrees

Step-by-step explanation:

Ok, corresponding angles are in the same position on the two parallel lines cut by the transversal. And they are equal in measure. So, upper right = upper right.

So A = B

4x = -5(x -18)

4x = -5x + 90

9x = 90

x = 10

Angle A = 4x = 40 degrees, which means angle B is also 40, but let's show the work:

Angle B = -5(x - 18) = -50 + 90 = 40

Can you help me please

Answers

Answer:

this is the ans

Step-by-step explanation:

hope it helps!!!

Please help ill mark brainliest if correct
I attached a photo of the problem

Answers

Answer:

12.8

Step-by-step explanation:

imagine a right triangle in the middle,

base: 16 ÷ 2 = 8 cm, height: 10 cm, side: s

10² + 8² = s²

=> s = √(10² + 8²)

=> s = √(100 + 64)

=> s = √164

=> s ≈ 12.8

Find the value of X given 2 angles, 58 and 38.

Answers

Answer:

84

Step-by-step explanation:

180 - 58 - 38 = 84

because all the angles of a triangle add up to 180

Answer: 84

Step-by-step explanation:

A triangles total angles are 180 so we just have to subtract 58+38 from 180

X^2=4 convert exponential function into natural logarithm (ln)

Answers

Answer:

[tex]2 = ln(4) [/tex]

Step-by-step explanation:

[tex] {x}^{2} = 4[/tex]

Since the power is 2 and our answer is 4 our natural log equation look like

[tex]2 = ln(4) [/tex]

angle measure of 36 and 57?

Answers

Answer: 7767788877787887+-77-7

Dwayne plays five games of rock-paper-scissors. In order to seem unpredictable, he never chooses the same move (rock, paper, or scissors) twice in a row. How many different sequences of moves can Dwayne go through?

Answers

Answer:

48

Step-by-step explanation:

First, in this problem, you would assume that there are five numbers to multiply since Dwayne played 5 games.  

 

                                                                                       

 

In the first blank, he could choose any move, and there are three, rock, paper, and scissors. In the first blank, you would put 3. Then, since you already picked one, you can't repeat it, so you would end up with 2 for the second blank. Continuing with the next blanks, the third, fourth, and fifth spaces would be 2 choices because you cannot have the one choice you chose previously. In the end, the blanks would look somewhat like this:

 

3    2    2    2    2

 

And you would multiply all the numbers.

 

3  x  2  x  2  x  2  x  2

                                                                  = 6 x 8

                                                                  = 48

B.
O
24
10
26
Find tan 2C
A.
5
13
B.
12
13
C. 12
5

Answers

Answer:

=12/5

Step-by-step explanation:

tan<C=opposite/hypotenuse

tan<C=24/10

tan<C=12/5

which one is a polynomial ? it’s not B!!

Answers

A probably i dont know

If f varies inversely as g, find f when g= -6.
F= 4 when g= -6
F=

Answers

Step-by-step explanation:

f=g

f=1/g

4=1/-6

=-24

find f

f=1/-6

2. You have 15 nickels and dimes. The coins are worth $1.20. How many of each coin do you have?

Answers

Answer:

9 dimes and 6 nickles

Step-by-step explanation:

plzz help im in class RIGHT NOW

Answers

Answer:

i have no answer

Step-by-step explanation:

Answer:

You're a really fungi

Step-by-step explanation:

Which graph represents y as a function of x?

Answers

Answer:

D

Step-by-step explanation:

Has only one point on the x- axis.

WILL GIVE BRAINLIEST!!
If N is the plane of symmetry, click on the graphic to find the figure that is symmetrical with respect to plane N.

Answers

Answer:

thrid one looks right

Step-by-step explanation:

Answer:

The 4th cone

Step-by-step explanation:

Hello, the answer to your question is the 4th cone; the cone with its bottom half facing skyward.  If you are familiar with plane symmetry, this question is fairly simple.  Since the topmost cone has its bottom half facing downward, it would only be logical to choose the cone that forms mirror halves (superimpose) when paired.  

Hope this helps.

Just in case my explanation was too confusing, I'll attach the image of the answer here.  

Feel free to give me brainliest.

Please help this is important

Answers

Answer:

x = 18.8

Step-by-step explanation:

(6x + 19) is in linear pair vertically so,

it's value will be 180 - 6x + 19. ......( angles in linear pair are supplementary)

now, 180 - 6x + 19 is corresponding with (4x + 11)

therefore, 4x + 11 = 180 - 6x + 19

4x + 6x = 180 + 19 - 11

10 x. = 180 + 8

10 x. = 188

x = 188/10

x. = 18.8

Cross - check:-

4x + 11 = 180 - 6x + 19

4 * 18.8 + 11 = 180 - ( 6 * 18.8 +19)

86.2. = 86.2

therefore, x = 18.8 is the correct answer

Match the following.

Answers

Answer:

1) Rotation    

2) Reflection

3)Dilation

4) Rotation

5) Reflection

6) Translation

7) Rotation

Step-by-step explanation: :

Keep in mind

 Reflection is a flip.

Rotation turns a figure through an angle about a fixed point called the center.

Translation "slides" an object a fixed distance in a given direction.

Dilation is a transformation that produces an image that is the same shape as the original, but is a different size.

Can someone please help me with just these two thanks I will give a brainliest to the correct answers

Answers

Answer:

7. [tex]c = 15.81[/tex]

8. [tex]b = 16[/tex]

Step-by-step explanation:

Required

Determine the third sides

(7): We have

[tex]b = 5[/tex]

[tex]a = 15[/tex]

[tex]c=??[/tex]

To find c, we make use of Pythagoras theorem

[tex]c^2 = a^2 + b^2[/tex]

[tex]c^2 = 5^2 + 15^2[/tex]

[tex]c^2 = 250[/tex]

[tex]c = \sqrt{250[/tex]

[tex]c = 15.81[/tex]

(8): We have

[tex]c = 20[/tex]

[tex]a = 12[/tex]

[tex]b = ??[/tex]

To find c, we make use of Pythagoras theorem

[tex]c^2 = a^2 + b^2[/tex]

[tex]20^2 = 12^2 + b^2[/tex]

[tex]400 = 144 + b^2[/tex]

[tex]b^2 = 400 - 144[/tex]

[tex]b^2 = 256[/tex]

[tex]b = \sqrt{256[/tex]

[tex]b = 16[/tex]

I GIVE BRAINLIEST! LOOK AT THE IMAGE BELOW.

Answers

Answer: 8

Area of a triangle=(1/2)bh
16=(1/2)4x
16=2x
x=8

Which quadrant contains the terminal side of 320 degrees?

Answers

Answer:

57 degrees

Step-by-step explanation:

Answer:

4th quadrant

Step-by-step explanation:

Since 320∘ lies between 270∘ and 360∘, the angle lies in the 4th quadrant.

vertex of y = x³ + x² - 4x - 4​

Answers

Answer:

(-2,0)

Step-by-step explanation:

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