A standard number cube, numbered 1 through 6 on each side, is rolled 3 times. What is the probability of rolling a 2 on all three rolls? Express your answer as a fraction.

Answer:

1. A. 1

2. D. [tex]17^9[/tex]

Step-by-step explanation:

Properties used:

1. First, let's deal with the numerator.

[tex](17^3)^6[/tex] can be turned into [tex]17^1^8[/tex] by using the Power of a Power Property.

And then use the Product Property, [tex](17^1^8)(17^-^1^0) = 17^8[/tex]

So now, our fraction is this: [tex]\frac{17^8}{17^8}[/tex]

All number over itself in a fraction is equal to 1. But you can also do this the mathmatic way using the Quotient Property: [tex]\frac{a^m}{a^n} = a^m^-^n[/tex] or [tex]\frac{1}{a^(^n^-^m^)}[/tex]. Which then you plug the numbers in: [tex]\frac{17^8}{17^8} = 17^8^-^8 = 17^0[/tex]. And since we know that in Zero Exponent Property: [tex]a^0 = 1[/tex], we can see that [tex]17^0 = 1[/tex]. So either way, we get 1.

So the answer is 1, which is A

2. Power of a Power Property: [tex](a^m)^n = a^m^n[/tex]

So plug the numbers in the property: [tex](17^{6}) ^3[/tex]= [tex]17^1^8[/tex]

Product Property: [tex](a^m)(a^n) = a^m^+^n[/tex]

We plug the equation in with [tex](17^{6}) ^3[/tex] turned into [tex]17^1^8[/tex] ---

[tex](17^1^8)(17^-^9) = 17^1^8^-^9 = 17^9[/tex]

So the answer is [tex]17^9[/tex], which is D

I hope this helps!
Please give Brainliest!

Have a great day!

Answer:

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

All of those are correct because the most is at three and three is in the center. 4 and 5 have a gap from 4 to 1 miles. and most of the miles is on the left.

Answer:

Just a

Step-by-step explanation:

Answer:

any point where x=3, 4, or 6.

Step-by-step explanation:

The thing that makes a function a function and not a relation is having only 1 y value per x value, which means if you draw a vertical line through a point, it should not intercept any other points. Basically, the main difference between a function and a relation is that a function can't have 2 points on top of each other.

Pick a point where x=3, 4, or 6. Those are the open spots on the grid with nothing above or below them. It doesn't matter which point you pick, as long as there is NOTHING directly above or below that point.

I hope you understood this solution. Happy mathing!

The solution is, any point where x=3, 4, or 6, is the location of a point that could be the seventh point of Brett function.

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

here, we have,

The thing that makes a function a function and not a relation is having only 1 y value per x value, which means if you draw a vertical line through a point, it should not intercept any other points.

Basically, the main difference between a function and a relation is that a function can't have 2 points on top of each other.

so, we have,

Pick a point where x=3, 4, or 6.

Those are the open spots on the grid with nothing above or below them. It doesn't matter which point you pick, as long as there is NOTHING directly above or below that point.

Hence, The solution is, any point where x=3, 4, or 6, is the location of a point that could be the seventh point of Brett function.

To learn more on function click:

brainly.com/question/21145944

#SPJ2

Answer:

B. Amount Donovan spends on granola bars each day.

Step-by-step explanation:

B is the price of a granola bar, so 2B is the price of two granola bars. Donovan eats 2 granola bars each day, so if he buys them, he spends 2B per day on granola bars.

_____

Comment on the problem wording

Please be aware that the problem statement tells you only that he eats 2 granola bars each day. It does not tell you the relationship between Donovan's eating and Donvan's spending. The question asks about his spending, so there is insufficient information unless we make the assumption they are directly related.

Answer:

B. Amount Donovan spends on granola bars each day

Step-by-step explanation:

Answer:

24/25 walls per gallon

Step-by-step explanation:

to get per gallon, we want gallon to be zero.

5/8 gallon of paint: 3/5 of wall

multiply by 8/5 on both sides

1 gallon: 24/25 of wall

24/25 walls per gallon.

Answer:

Answer:

Unit rate at which Martin paints in walls per gallon is .

Explanation:

Rate is defined as ratio between two quantities with different units.

Gallons of paint used by Martin =  gallons

Portion of wall Martin wishes to pint =  wall

Rate at which Martin paints the wall:

Unit rate at which Martin paints in walls per gallon is .

Step-by-step explanation:

Answer:

The first option, 132.7 cm²

Step-by-step explanation:

The area of a circle can be found with A = πr²

A = πr²

A = π(6.5)²

A ≈ 132.73

A ≈ 132.73 cm²

-> 132.7 cm² <-

Answer:

[tex]\boxed{\sf{132.7cm^2}}[/tex]

Step-by-step explanation:

You only had to solve this problem to use a circle's area.

[tex]\text{Area of a circle: }\sf{A=\pi r^2}[/tex]

Radius of this circle is 6.5 cm.

A=πr²

A=π(6.5)²

Solve.

A=π(6.5)²

A=132.73

To get the correct answer, remember to use the centimeter.

A=132.7cm²

Therefore, the correct answer is

A. 132.7cm².

I hope this helps you! Let me know if my answer is wrong or not.

Answer:

-3.35 is your answer. B.

Answer:

With the way the problem is facing, the correct option is B.

[tex]6.2[/tex] ≈ [tex]6[/tex]

[tex]9.55[/tex] ≈ [tex]10[/tex]

[tex]6 - 10 = -4[/tex] because of the order. Otherwise, it would be positive 4

[tex]6.2 - 9.55 = -3.35[/tex]

________________________________________________________

And the problem is solved. -3.35 is your answer. Remember, in the future, always go by the order of operations. If you do not follow the order of operations, that could be a disaster!

________________________________________________________

Questions related to this topic? Please ask me in the comments box.

Answer:

2/3*4/3= 8/9

Step-by-step explanation:

since the denonmeteres are the same you still multiply the 3's and the 2 and 4 and you get 8/9

since 8/9 can't be simplied it stays the same

Answer:

angle x = 92 degrees

Step-by-step explanation:

Supplementary angles equal to a sum of 180 degrees. So subtract angle y (88 degrees) from 180 to gwt angle x.

Answer:

92

Step-by-step explanation:

180 - 88=92

Answer:

A

Step-by-step explanation:

X<Y means x is less than y-5 and you get A.

Answer:

x < y - 5

Step-by-step explanation:

"x is less than y minus 5

x < y - 5

Hope this helps!

Answer:

2 | 6

1/3 | 1

1 | 3

left to right : multiply by 3

right to left : divide by 3

Answer:

A) 2 | 6

B) 1/3 | 1

C) 1 | 3

Step-by-step explanation:

Answer:

1. 734

2. 5913

3. 2048

Step-by-step explanation:

try looking at these pictures

Answer:

Step-by-step explanation:

we know that

surface area of the prism=2*area of the base+perimeter of the base*height

step 1

find the area of the base

area of the base=length* width

length=5 cm

width=4 cm

area of the base=5*4-----> 20 cm²

step 2

find the perimeter of the base

perimeter=2*[length+width]-----> 2*[5+4]----> 18 cm

step 3

height=7 cm

step 4

find the surface area

surface area of the prism=2*area of the base+perimeter of the base*height

surface area of the prism=2*20+18*7----> 166 cm²

Answer:

-4y-7

Step-by-step explanation:

1. Simplify

-4y-4+(-3)

-4y-4 -3 <=== Combine Like Terms and simplify

-4y-7

Answer:

A) ∠3 and ∠1

D) ∠2 and ∠4

Step-by-step explanation:

Following angle pairs can be classified as vertical angles.

A) ∠3 and ∠1

D) ∠2 and ∠4

Answer:

A: ∠3 and ∠1 and D: ∠2 and ∠4

Step-by-step explanation:

Trust me!

Have a good day/afternoon/night! :P

Answer:

a

Step-by-step explanation:

reflection across axis would make the points be (4,-4)

translating five units left would make it (-1, -4)

Answer:

Answer Choice C is the closest. (**There should be a second transformation in order to get it correct look at my explanation!!**)

Step-by-step explanation:

From our information, I think C is correct.

**There is something missing for the translation**

The reason why C is the closest is that if we reflect across the x-axis, our coordinate for (4,4) would be (4,-4). Then if we went 5 units to the left, then we would get to (-1,-4) in which we have to go up 2.

Answer choices A, B, and D aren't close to (-1,-2).

The closest you'll get on this is C because as I mentioned in my explanation your stopping point would be (-1,-4) in which you need a second transformation that is 2 units up to get exactly (-1, -2).

Answer:

90 /180 /280

Step-by-step explanation:

Answer:

draw a tree diagram

Step-by-step explanation:

total colour marbels=11

brown=2

fraction=2/11 times 2/11=

4/121

Answer:

9 1/5

Step-by-step explanation:

Answer:

[tex]9 \frac{1}{5} [/tex]

Step-by-step explanation:

This is because there are 2/4/5 sections with the size of 3/2/7.

Therefore, the answer is

[tex]2\frac{4}{5} \times 3 \frac{2}{7} = 9\frac{1}{5} [/tex]

Answer:

6

Step-by-step explanation:

Using the Triangle Inequality Theorem, we can derive the range in which the third side, x. If you are having trouble with the theorem, it is that the sum of any two sides must be larger than the other side.

4 + 9 > x => x < 13

x + 4 > 9 => x > 5

x + 9 > 4 => x > -5

Combining all three equations gives us 5 < x < 13

Since the number is a whole number, the smallest whole number that satisfies the range is 6. The answer is 6.

Hope I helped!

Answer:

2200

Step-by-step explanation:

The 2200 cubic inches the soil will take to fill the flower box.

It is given that the picture shows a figure with dimensions in inches.

It is required to find how much soil will it take to fill the flower box.

It is defined as the six-faced shape, a type of hexahedron in geometry.

It is a three-dimensional shape.

The soil will take to fill the flower box = volume of the given figure.

The figure is made up of two cuboids so,

The soil will take to fill the flower box = first cuboid volume + second                                                                            cuboid volume

In the first cuboid, length = 8 in, width = 5 in and hieght = (10+9) in = 19 in

In the second cuboid, length = 8 in, width = 20 in and hieght = 9 in.

We know the volume of cuboid 'V'

V = length × width × height

[tex]\rm V=8\times5\times19+8\times20\times9 \\ V= 760 +1440\\ \rm V= 2200 \ in^3[/tex]

Thus, the 2200 cubic inches the soil will take to fill the flower box.

Learn more about the cuboid here:

https://brainly.com/question/9740924

Answer:

3² × 3 .14 × 7 = 197.82

here!!

Answer: No

Step-by-step explanation:

Is 1/4 (8y -12) equivalent to 2y - 12? No. 1/4 (8y-12) equals out to 2y-3 not 2y-12. To solve the system of equations below, grace isolated the variable y in the first equation and then substituted into the second equation. what was the resulting equation? 3y=12x x^2/4+y^2/9=1

The measurements that are greater using the correct symbol  <, >, =) are:

Gallons and quarts

1 gallon = 4 quarts.

So, we have:

5 gallons = 20 quarts i.e. 5 * 4

Hence,

5 gallons >  18 quarts

Pints and cups to fl oz

1 cup = 0.5 pints.

So, we have:

1 pint 4 cups = 1 pint + 2 pints

1 pint 4 cups = 3 pints

1 pint = 16 fl oz.

So, we have:

1 pint 4 cups = 16 * 3 fl oz

1 pint 4 cups = 48 fl oz

Hence,

1 pint 4 cups >  32 fl oz

Pints and cup

1 cup = 0.5 pints.

So, we have:

8 cups = 4 pints

Hence,

3 pints <  8 cups

Quarts and gallon

1 gallon = 4 quarts.

So, we have:

4 gallons = 16 quarts

Hence,

13 quarts < 4 gallons

Quarts and pints

1 quart = 2 pints.

So, we have:

4 quarts = 8 pints

Hence,

4 quarts < 9 pints

Read more about metric units at:

https://brainly.com/question/1052895

Answer:

The answer should Be A. 64 I say this because lets say the constant rate is +4 so what should we do from there. Do 4*16 to get 64.

Step-by-step explanation:

Hope this Helps

Have A Great Day

~Zero~