question is below!!!!​

Answer:

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

Step-by-step explanation:

We are given that a and b are positive integers such that:

[tex]a-b=2[/tex]

And we want to evaluate:

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

First, note that 27 = 3³ and that 9 = 3². Therefore:

[tex]\displaystyle =\frac{(3^3)^{1/3b}}{(3^2)^{1/2a}}[/tex]

Simplify:

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

Using the quotient property of exponents:

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

From our given equation, we can divide both sides by -1 to acquire:

[tex]-a+b=-2\text{ or } b-a=-2[/tex]

Therefore:

[tex]=3^{-2}[/tex]

Hence, our answer is:

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

Answer:

Answer:Decimal form-23.89949493 or 4.10050506

Answer:Decimal form-23.89949493 or 4.10050506Exact form-14+7v2 or 14-7v2

Answer:

X=7

Step-by-step explanation:

Khan <3

Answer:

24

Step-by-step explanation:

12+4+8= 24

12+12=24

8+4=12

Your answer is 24

Answer:

Aiden would have $67 more than Autumn.

Step-by-step explanation:

Aiden compounded continuously, which uses the formula: [tex]P(t)=P_oe^r^t[/tex]

Plugging in what we know about Aiden's investment: [tex]P(11)=98000e^0^.^0^2^*^1^1[/tex]

That gives us: 122115.5196

Autumn invested using regular compound interest, which has the formula: [tex]A=P(1+\frac{r}{t})^n^t[/tex]

Since Autumn's investment is getting compounded quarterly, n=4 because it gets compounded 4 times a year.

Plug in Autumn's investment: [tex]A=98000(1+\frac{0.02}{4})^4^*^1^1[/tex]

That gives us: 122048.5974

Now just subtract the two and round to the nearest dollar:

[tex]122115.5196-122048.5974=66.92215187[/tex]

OR

$67. Aiden would have $67 more than Autumn after 11 years.

Answer:

your not in highschool

Step-by-step explanation:

Answer:

it's 10 time greater

Step-by-step explanation:

in 6,084 the number 8 is 80

but in 9,821 the number 8 is 10 times greater 6,084

Answer: 24 days

Step-by-step explanation:

Takes her 4 days to read 1/2 of a 200 page book, or 100 pages.

4 days = 100 pages

X days = 600 pages

24 days = 600 pages

Answer:

x= 29

Step-by-step explanation:

Answer:

The diagonal length is 10 miles.

Step-by-step explanation:

This is the work of the Pythagorean theorem : [tex]a^{2} + b^{2} = c^{2}[/tex]

-------------------------------

[tex]8^2 + 6^2 = c^2\\100 = c^2\\10=c[/tex]

Good Luck!!!

Answer:

10 miles

Step-by-step explanation:

pythagoras' Theorem

8^2 + 6^2 = c^2

64 + 36 = 100

c^2 = 100

c = √100

c = 10 miles

Answer:

Perimeter= 49

area= 360

Step-by-step explanation:

perimeter means you need to add 40+9 and area means you must multiple the numbers.

Answer:

Step-by-step explanation:

2 3 4 1

Put them in that order in the columes

The slope of the line as shown in the graph of the linear function in the image below is: negative.

The slope of a line of a linear function = change in y/change in x.

The value of the slope would be positive if the graph increases upwards from your left to your right.

The value of the slope would be negative if the graph decreases downwards from your left to your right.

Thus, the slope of horizontal lines are always zero while the slope of vertical lines are undefined.

Therefore, the slope of the line as shown in the graph of the linear function in the image below is: negative.

Learn more about slope of linear functions on:

https://brainly.com/question/3469351

Answer:

1/3

Step-by-step explanation:

Answer:

The probability of is rolling a 1 or a 6 on a die is [tex]\frac{1}{3}[/tex].

Step-by-step explanation:

Since there are six sides to a die, and there are two sides that are either 1 or 6, that means the probability of rolling a 1 or 6 is [tex]\frac{2}{6}[/tex] or [tex]\frac{1}{3}[/tex].

Answer:

232 in^2

Step-by-step explanation:

Using the formula for surface area A=2(wl+hl+hw)

A=2(16+80+20)

A=232

The surface area of the cereal box is 232 square inches

The surface area of a cuboid is the total area of all its surfaces. Since a cuboid is a three-dimensional solid shape, the value of its surface area depends on the dimensions of its length, width, and height. The change in any of the dimensions of a cuboid changes the value of the surface area of a cuboid. The surface area of a cuboid is expressed in square units.

Total Surface Area of Cuboid

= 2 (length*width + width*height + length*height)

According to the question

A cereal box has a height = 10 inches

A cereal box has a length = 8 inches

A cereal box has a width = 2 inches

Now ,

Applying the formula of Total Surface Area of Cuboid as cereal box is also a cuboid

Total Surface Area of Cuboid

= 2 (length*width + width*height + length*height)

substituting the values

Total Surface Area of Cuboid

= 2 (8*2 + 2*10 + 8*10)

= 2  (16 + 20 + 80)

= 2(116)

= 232 square inches

Hence, the surface area of the cereal box is 232 square inches

To know more about  surface area of cuboid here:

https://brainly.com/question/26403859

#SPJ3

Answer:

2 and 4 only

Step-by-step explanation:

hope it helped!!!

Answer:

7 squares of chocolate

Step-by-step explanation:

14/2 = 7

Answer:

Las longitudes que se forman entre los vértices y el centro de un polígono regular son;

Los radios del círculo circunscrito

Step-by-step explanation:

Cada círculo de radio, 'r', tiene un polígono que se puede inscribir polígono regular que tiene 'n' lados, donde n ≥ 3 y viceversa, todos los polígonos regulares se pueden inscribir (dibujar) en un círculo, que luego se conoce como la circunferencia del polígono

Dado que un polígono regular se puede inscribir en un círculo, de modo que sus vértices descansen sobre la circunferencia del círculo, entonces el centro del polígono es el centro del círculo que lo circunscribe.

Por lo tanto, las longitudes (iguales) que se forman entre los vértices y el centro del polígono regular son el radio del círculo que lo circunscribe..

Answer:

corrcect

Step-by-step explanation:

Base times Hight

The closest to the inverse notation is (d) 5

From the question, we have the following parameters that can be used in our computation:

The graph of the function f(x)

The notation f'(7) implies that we determine the inverse of the function

From the graph, we have the following equation

f(5) = 7

This means that

f^-1(7) = 5

Hence, the closest is (d) 5

Read more about inverse function at

https://brainly.com/question/3831584

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37.5 is 60% of 62.5#

Explanation:

First, let's call the number we are looking for  

n

.

"Percent" or "%" means "out of 100" or "per 100", Therefore 60% can be written as  

60

100

.

When dealing with percents the word "of" means "times" or "to multiply".

So, putting this all together allows us to write the following equation and solve for  

n

while keeping the equation balanced:

60

100

×

n

=

37.5

100

60

×

60

100

×

n

=

100

60

×

37.5

1

×

n

=

3750

60

n

=

62.5

Hi!

So to find out the slope, we can use the equation change in y value over change in x value -- or vertical change over horizontal change.

Find two points on the graph that line up exactly on the lines of the graph, like (20, 0) and (12, 0).

Then, take the change in y value (20-0 = 20) and divide it by the change in x value (0 - 12) to get -20/12, or -5/3.

Hope this helped!!

Answer:

9°C

Step-by-step explanation:

Total temperature= mean * number of days

Total for 4 days=4°C * 4days=16°C

Total for 5 days=5°C * 5days=25°C

Temperature for 5th day =25-16

=9°C

Answer:

Lol that would bring all the customers XD

Step-by-step explanation:

Answer:

4x60=240minutes

1 minute=60 seconds

Hence, 240 minutes=14400 seconds(240*60)

Answer:

A: 28.2m

Step-by-step explanation:

I took the quiz

Answer:

See explaination and answer below

Step-by-step explanation:

Relationship:

Complementary angles add up to 90 degrees

JKL + MNP = 90

Solve for x:

(2x - 3) + (5x + 2) = 90

7x - 1 = 90

7x = 91

x = 13

Solve for JKL:

JKL = 2x - 3

JKL = 2(13) - 3

JKL = 23 degrees

Solve for MNP:

MNP = 5x + 2

MNP = 5(13) + 2

MNP = 67

Check work:

67 + 23 = 90

Please mark brainliest if this helped!

Please mark brainliest if this helped!

Answer: First you have to know that complementary mean 90*

Step-by-step explanation:(2x-3)+(5x+2)=90

2x - 3 + 5x + 2=90

7x-1=90

7x=90+1

7x=91

x=91/7

x=13

Answer:

$64

Step-by-step explanation:

Answer:

8x3x5=120

Step-by-step explanation:

You have to find your lcm for your answer