Simplify.
Rewrite the expression in the form a^n
α· α· α· α· α· α· α
α· α· α· α· α· α
=

Answer:

x = 35y/27

y = 27x/35

Answer:

1.3^24 / 1.5)^18

Step-by-step explanation:

[1.5^3 / 1.3^4]^-6

= 1.5^(3*-6) / 1.3^(4*-6)

= 1.5^(-18) / 1.3^(-24)

= 1.3^24 / 1.5)^18

Height of the tree is 16ft

There is a tree and a wall.

height of the wall = 4ft

Base of the wall = 6ft

tanθ for wall = height of the wall/Base of the wall

                     =  4/6

                     = 2/3

Height of the tree be h

base of the tree = 24ft

tanθ for tree= h/24

tanθ for wall = tanθ for tree

2/3 = h/24

h=(2/3)(24)

 = 16ft

Height of the tree is 16ft.

Height, altitude, and elevation all refer to the vertical distance between something's top and bottom or between a base and something above it. Height is something measured vertically, whether it is high or low.

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Answer:

82 , 162, 322

Step-by-step explanation:  

So basically add the number by two and then subtract that number by 2.  4.5(2)=9   9-2=7  and 7(2)=14  14-2=12 and so on

Marissa says that lines a and d will eventually intersect is a wrong statement as they are skew lines. Therefore option D is correct.

A and D are both in different planes, skew lines are line that will never intersect because they are noncoplanar, meaning they are never in  the same plane. If they aren't in the same plane, they can't intersect.

Two or more lines that doesn't have any intersections but they are not parallel.

Skew lines are also called as agonic lines. Since two lines in a plane must be parallel or intersect ,skew lines can only exist  in three dimensions or more dimensions.

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Answer: 4x10²

Step-by-step explanation:

Answer:

Exact Form: 34/9

Mixed-Number Form: 3 7/9

Step-by-step explanation:

Hope this helps.

Answer:

3 7/9

Step-by-step explanation:

2 1/8  

convert mixed numbers to improper fractions

2x8+1/8 = 17/8

1 7/9

1x7+9/9 =16/9

17/8 x 16/9

Factor the number 16=8x2

17x8x2/8x9

cancel the common factor =8

=17x2/9

=34/9

convert improper fractions to mixed numbers

34/9 =3 remainder of 7

34/9 = 3 7/9

The dimensions of the bulletin board is 2 ft and 9 ft.

Let the width of board = x

Then, the length of board = 7+x

Area of board = 18 ft²

Area of rectangle = L×W

so, (7+x) × x = 18 ft²

7x + x² = 18 ft²

7x + x² + 18 = 0

x² + 9x -2x -18 = 0

x(x+9) -2(x+9) = 0

(x+9) (x-2) = 0

x+9 =0, x -2 = 0

Dimension can not be in negative number, so

x = 2, Width = 2 ft

Length = 2+7 = 9 ft

Hence, the dimensions of board will be:

The width of board = 2 ft

And, the length of bard = 9 ft.

Answer:729

Step-by-step explanation:someone else said it

Answer:

6 2/5 pages

Step-by-step explanation:

Since we know how much he can type in half an hour, for a full hour you simply add two of the same value:

3 1/5 + 3 1/5

3+3 = 6, and 1/5 + 1/5 = 2/5

So the final answer would be 6 2/5 pages

I hope this helps :)

Number of drinks = 3

From the question we are told that:

Ordered drink 4 1/2 ounces of 80-proof liquor

Generally,

80-proof liquor contains 40\% alcohol

Giving the drink a standard 1.5 ounce of distilled spirit

Therefore,

Number of drinks = 4.5 / 1.5

So, Number of drinks = 3

A number of distinct units of mass, weight, or volume are derived from the uncia, an ancient Roman unit of measurement, including the ounce, which is almost unmodified. The avoirdupois ounce, or precisely 28.349523125 g, is 116 of an avoirdupois pound and is used in both the United States and the United Kingdom. Although it is frequently used outside of the Anglosphere, it is predominantly employed in the United States to measure packaged foods and food portions, postal items, the areal density of fabric and paper, boxing gloves, and other items. Although the avoirdupois ounce is the standard unit of mass for most applications.

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The expression that represent the total area in square feet covered by the wood panels is: 6x² feet²

The formula and procedure to solve this geometry exercise is:

A = s²

Where:

Problem information:

Using the formula of the square area we get the area of 1 panel:

A(1 panel) = s²

A(1 panel) = (x feet)²

A(1 panel) = x² feet²

Calculating the total area of the 6 wood panels we get:

A(total): No. panels * A(1 panel)

A(total): 6x² feet²

Is the measure of the space occupied by a body bounded by an environment called perimeter, the same is expressed in units of squared side. Example: ft2, m2

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A simple random sample is a subset of a statistical population in which each member of the subset has an equal probability of being chosen. A simple random sample is meant to be an unbiased representation of a group.

Random sampling, or probability sampling, is a sampling method that allows for the randomization of sample selection, i.e., each sample has the same probability as other samples to be selected to serve as a representation of an entire population.

Simple random sampling is the randomized selection of a small segment of individuals or members of a whole population. It provides each individual or member of a population with an equal and fair probability of being chosen. The simple random sampling method is one of the most convenient and simple sample selection techniques.

Simple random samples are determined by assigning sequential values to each item within a population, then randomly selecting those values.

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Answer:

22,25,28,31

N=5

A1= 22

an= 35

22-34

d= 5-1

22+3=25

25+3=28

28+3=31

31+3=34

mwheheheheh

Answer:

7 is 48b-4 and 8 is mn+4m

Step-by-step explanation:

There are 1680 ways to construct the octahedrons.

Here,

Eight congruent equilateral triangles, each of a different color, are used to construct a regular octahedron.

An octahedron has 8 equilateral triangles.

We have to find number of ways to construct the octahedron.

What is Regular octahedron?

An octahedron is a polyhedron with eight faces. The term is most commonly used to refer to the regular octahedron, a Platonic solid composed of eight equilateral triangles, four of which meet at each vertex.

Now,

An octahedron has 8 equilateral triangles.

We have to fix 2 faces before applying the colors.

So, the first face that can be fixed for any of the 8 faces but each faces are similar.

Hence, there are 8/8 ways.

And, When we fix one face, three adjoining faces are similar.

So, we have 7 colors for the second face.

Hence, 7/3 ways

Now, we can place any color anywhere, it will be different arrangement.

So, 6! ways.

Hence, Total number of ways = (8/8) * (7/3) * 6! = 7 * 6 * 5 * 4 *2 = 1680

So, There are 1680 ways to construct the octahedrons.

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Answer:

x_2y=15

x_4y=_3

_6y=12

divide both sides by 6

y=_2

substitute y for x

In equation 1

x_2y=15

x_2 (_2)=15

x+4=15

x=15_4

x=11

[tex] \large \bf\implies\frac{12}{61} [/tex]

[tex] \tt \frac{8}{101} , \frac{9}{91} , \frac{10}{81} , \frac{11}{71} ...[/tex]

We have to add 1 in numerator and -10 in denominator because

[tex] \tt \frac{8}{101} , \frac{9}{91} , \frac{10}{81} , \frac{11}{71} ...[Given][/tex]

[tex] \frac{8 \: + \: 1}{101 \: - \: 10} = \frac{9}{91} \\\\ \frac{9 + 1}{91 - 10} = \frac{10}{81} \\ \\ \frac{10 + 1}{81 - 10} = \frac{11}{71} \\ \\ \frac{11 + 1}{71 - 10} = \frac{12}{61} ...[/tex]

The difference is 1 in numerator so we add 1 and the difference is -10 in denominator so we subtract -10.

Step-by-step explanation:

Distribution first y=44-24+2

Simplify y=22

Hope this helps!

If you have any other questions feel free to ask!

Answer:

22

Step-by-step explanation:

Hey there!

To solve this, you need to follow PEMDAS

We do Parenthesis first:

44 - 24 + 2

Now we can simplify:

20 + 2

22

He can make 5 pots of  macaroni and cheese.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given:

Jason uses 3 1/2 cups of uncooked pasta.

He has= 18 1/2 cup of pasta

So, the numbers pots he can make

=18 1/2 ÷ 3 1/2

=37/2 ÷ 7/2

=37/2*2/7

=37/7

=5.28

= 5 pots

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the domain of the graphed function is D: [-5, 3]

For a function f(x), we define the domain as the set of the inputs of the function.

So, to identify the domain, we need to look a the horizontal axis.

Doing that, we can see that the first value in the horizontal axis is x = -5, and the last value is x = 3.

Notice that in both cases we have solid dots, which means that these values do belong to the domain.

Then the domain of the graphed function is D: [-5, 3]

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Answer:

I’m not sureee

Step-by-step explanation:

The answer for the given function g(x) is  |x - 4|² - 2.

Given parent function is f(x) = |x|

Given vertex (h, k) = (-2, 4)

The simplest function in a family of functions, a parent function maintains the definition of the entire family.

The parent function that has vertex must be used to create the function of g, as shown below.

vertex form can be written as

a ( x - k )² + h

Here a = 1 , k = 4, h = -2

Now the function g(x) = | x -4 |² + ( -2)

                            g(x) = |x - 4|² - 2

Therefore, the function g(x) is found to be  |x - 4|² - 2.

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Answer:

rational

Step-by-step explanation:

1 1/6 can also be expressed in the form 7/6

any number that can be expressed in a form of a/b is a rational number

The relationship between the figure JKLM and it's image, J'K'L'M' following a dilation by a scale factor of 1 is that JKLM and J'K'L'M' have the same dimensions, and location

Scale factors are numbers that are used to multiply a quantity to scale it by a given rate.

Part A

In order to easily describe the relationship between the image J'K'L'M' and the original figure JKLM, the point J can be taken as the origin such that the image vertices are obtained by dilating the points on the original figure in their original direction relative to J using the specified scale factor.

The coordinates of the vertices of JKLM relative to J are;

J(0, 0), K(6, 0), L(6, -6), M(0, -6)

Distance of K from J = 6 - 0 = 6 units to the right of K

Therefore, using a scale factor of 1;

The distances of the vertices of square J'K'L'M' from point J are the same and in the same direction as the distances of the vertices of square JKLM from point J.

The vertices of J'K'L'M' using a scale factor of 1 are therefore located at the same coordinates as the vertices of square JKLM

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The coordinates of point D is (- 3, - 7).

A midpoint is a point that partitions a line segment in two parts of equal length. First, we must find the coordinates of point B by using the midpoint formula:

B(x, y) = 0.5 · A(x, y) + 0.5 · C(x, y)

B(x, y) = 0.5 · (- 9, - 4) + 0.5 · (- 1, 6)

B(x, y) = (- 4.5, - 2) + (- 0.5, 3)

B(x, y) = (- 5, 1)

And the location of point D is found by using the midpoint formula again:

E(x, y) = 0.5 · B(x, y) + 0.5 · D(x, y)

(- 4, - 3) = 0.5 · (- 5, 1) + 0.5 · D(x, y)

(- 4, - 3) = (- 2.5, 0.5) + 0.5 · D(x, y)

(- 8, - 6) = (- 5, 1) + D(x, y)

D(x, y) = (- 8, - 6) - (- 5, 1)

D(x, y) = (- 3, - 7)

The coordinates of point D is (- 3, - 7).

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Maria should leave home for the airport terminal at 14:30.

We all know that one hour equals sixty minutes.

As a result, 6 hours = (6 × 60) minutes = 360 minutes.

For, the given question;

The time at which Maria need to be at airport terminal is 16:15.

Time taken for the driving is 1 1/3 = 4/3 hours.

convert this in minutes;

= 4×60/3

= 80 minutes.

Now, extra 25 minutes is requires to park.

Total time = 80 minutes + 25 minutes

Or we can write 60 minutes + 45 minutes.

Total time = 1 hour + 45 minutes.

The time at which Maria has to reach = 16:15 - 1:45 = 14:30

Therefore, the time at which Maria must reach the airport is 14:30 in 24-hour clock.

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Answer: x=48

i know the answer bc i just did it