Six friends go to a movie theater. In how many different ways can they sit together in a row of six empty seats?

Answer:

x/5=80

Step-by-step explanation:

x=how many months it takes to get all the money out                                              hope it is right or you can google it if not

Answer:

[tex] {( {x}^{2} + 3) }^{2} = {4x}^{2} + 12[/tex]

[tex] \bf \purple{ {(x + y)}^{2} = {x}^{2} + 2xy + {y}^{2} } [/tex]

[tex] {( {x}^{2}) }^{2} + 2({x)}^{2} (3) + {(3)}^{2} = {4x}^{2} + 12[/tex]

[tex] {x}^{4} + {6x}^{2} + 9 = {4x}^{2} + 12[/tex]

[tex] {x}^{4} = {4x}^{2} - {6x}^{2} + 12 - 9 [/tex]

[tex] {x}^{4} = { - 2x}^{2} + 3[/tex]

[tex]( {x}^{2} \times {x}^{2}) = { - 2x}^{2} + 3[/tex]

[tex]2 \times {x}^{2} = { - 2x}^{2} + 3[/tex]

[tex] = \frac{ { - 2x}^{2} + 3 }{ {2x}^{2} } [/tex]

[tex] = 3[/tex]

Answer:

3.5

Step-by-step explanation:

This is because 12 times 4 is 48 and if you divide 168 by 48 you get 3.5 . 3.5 times 12 times 4 is 168.

Answer:

  4 units

Step-by-step explanation:

A function is periodic with period P when it can be shifted P units left or right and its graph will map to itself. Here, rising "edges" of the function cross grid lines that are 4 units apart, so the period is 4 units.

Answer:

22.6 mi

Step-by-step explanation:

The shortest route is to go from bloomington to seaside to westminster. Simply add up the distances along this route.

Answer:

22.6

Step-by-step explanation:

13.2+9.4=22.6

Answer:

Angle 3 is also 100

Step-by-step explanation:

They are vertical angles and vertical angles are always congruent.

The angle 3 is in the given figure is ∠3 = 100°.

The parallel lines are a group of straight lines that never intersect with one another. The distance between two parallel is always the same.

The measure of angle 1 is given as ∠1 = 100°.

When two lines intersect each other, the pair of vertically opposite angles are equal.

Since, angle 1 and angle 3 are vertically opposite, they are equal.

Thus, ∠3 = 100°.

Hence, the measure of angle 3 is 100°.

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Answer:

68

Step-by-step explanation:

cos22=sinx

sin^-1(cos22)=x

x= 68

Answer:

oy=5

Step-by-step explanation:

t golf DJ o frick vet gn hf hi

Answer:

33

Step-by-step explanation:

You find the measure of B, which is 180 - (93 + 58) = 29 degrees

You use the law of sines which is 16/sin(29) = (BC)/sin(93)

You multiply both sides by sin(93) and get:

sin(93)*16/sin(29) = BC

You plug this into a calculator and get:

32.9574164555, which is approx. 33

Answer:

0.25 (1/4) bowls a minute.

Step-by-step explanation:

If you divide 15 by 60, you get 0.25 (1/4) and then you just add your labels which is bowls a minute.

Answer:

81

Step-by-step explanation:

18*9=162

162*[tex]\frac{1}{2}[/tex]=81

Answer:

81

Step-by-step explanation:

18 * 9 = 162

162 * 1/2 is 81

Also multiplying by 1/2 is the same as dividing by 2

Hope this helped!

Answer:

750 books

Step-by-step explanation:

10% .............75 books

100% .............x books

x = 100×75/10 = 7500/10 = 750 books

Answer: I couldn't find the answer but I did find the formula? Sorry if this doesn't help much :(

Update:

Center at (-3,0)

Radius = 1

Step-by-step explanation:

(x-x1)^2 + (y-y1)^2 = r^2

(x-x2)^2 + (y-y2)^2 = r^2

Answer:

If point A = (4,4) and B = (8,7)

The slope of M would be 3/4.

Step-by-step explanation:

m = y^2 - y^1/x^2 - x^1 = 7 - 4/ 8 - 4 = 3/4. m = 3/4.

y = mx + b

y = 3/4 x + b

4 = (3/4)(4) + b

b = 4 - 3 = 1

The equation of line AB is y = 3/4 x + 1.

I hope this helps and that it is easy to understand and read! :)

Answer:

yes

Step-by-step explanation:

since [tex]3^2=5+2^2[/tex]

Answer:

1/3

Step-by-step explanation:

step-by-step explanation is three angles of triangle are cut off so 1/3

Answer:

8

Step-by-step explanation:

If the gardener bought more white than pink, that could mean he could have bought 12 white and one pink, 11 white and 2 pink, 10 white and 3 pink, 9 white and 4 pink, 8 white and 5 pink, or 7 white and 6 pink.

If you plug in the numbers, for example with 7 and 6, that would equal $53, which is not correct. Continue to do this with all of the answers.

With 8 white roses and 5 pink roses, this would equal $55 (40+15), which is the answer.

By solving form expressions the gardener bought 5 pink plants.

In mathematics, an expression is a combination of one or more numbers, variables, constants, and operators, which when evaluated, produce a value. Expressions can include mathematical symbols such as addition, subtraction, multiplication, division, exponents, roots, logarithms, and trigonometric functions.

Let's use algebra to solve this problem.

Let's assume that the gardener bought x pink plants and y white plants. We know that:

The gardener bought 13 plants in total: x + y = 13

The gardener spent $55: 3x + 5y = 55

The gardener chose more white plants than pink: y > x

We can use the first equation to solve for x in terms of y:

x = 13 - y

Now we can substitute this into the second equation:

3(13 - y) + 5y = 55

Simplifying and solving for y:

39 - 3y + 5y = 55

2y = 16

y = 8

So the gardener bought 8 white plants. To find out how many pink plants were bought, we can substitute this value into the first equation:

x + y = 13

x + 8 = 13

x = 5

So the gardener bought 5 pink plants.

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Answer:

289

Step-by-step explanation:

Base of the square pyramid is square

Formula: Length × Width

17 × 17 = 289

Answer:

64⁰

Step-by-step explanation:

By angle sum property :

A + B + C = 180⁰

C = 180 - 73 - 43

C = 180 - 116

C = 64⁰

Answer:

2/5

Step-by-step explanation:

The theoretical probability of getting blue is TOTAL BLUE SPUN/ TOTAL SPINS

There were 12 blue spins out of 30 total spins, making the probability equal to 12/30 = 2/5

Answer:

The answer is 1

Step-by-step explanation:

The answer is 1

Hence Only 1 triangle can be drawn

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Answer:

2. (5/8)m - 3/8.

Step-by-step explanation:

(1/4)m + (3/4)m - (3/8)(m + 1)

=   m - (3/8)m - 3/8

= (5/8) m - 3/8.

Given:

The graph shows the speed of a ball in free fall for 10 seconds.

We need to determine the constant of proportionality for the given graph.

Constant of proportionality:

The constant of proportionality can be determined using the formula,

[tex]\frac{y}{x}=k[/tex]

Where k is the constant of proportionality.

Let us consider any of the coordinate from the graph and substitute in the formula.

Consider the coordinate (4,40) and substitute in the above formula.

Thus, we have;

[tex]\frac{40}{4}=k[/tex]

[tex]10=k[/tex]

Thus, the constant of proportionality is 10 meters per second squared.

Answer:

10 meters per second squared

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

[tex] {x}^{2} - 8x + 16 = (x - 4) ^{2} \\ [/tex]

Answer:

The first term is 128

Step-by-step explanation:

The common ratio of the geometric series is given as:

[tex]r = \frac{1}{4} [/tex]

The sum of the first 4 term is 170.

The sum of first n terms of a geometric sequence is given b;

[tex]s_n=\frac{a_1(1-r^n)}{1-r}[/tex]

We put the common ratio, n=4 and equate to 170.

[tex]\frac{a_1(1-( \frac{1}{4} )^4)}{1- \frac{1}{4} } = 170[/tex]

Simplify:

[tex]\frac{a_1(1- \frac{1}{256} )}{ \frac{3}{4} } = 170[/tex]

[tex] \frac{255}{256} a_1 = \frac{3}{4} \times 170[/tex]

[tex]\frac{255}{256} a_1 = \frac{255}{2} [/tex]

[tex]\frac{1}{256} a_1 = \frac{1}{2} [/tex]

[tex] a_1 = \frac{1}{2} \times 256[/tex]

[tex]a_1 = \frac{1}{2} \times 256 = 128[/tex]

Answer:

128

Step-by-step explanation:

Answer: (f+g)(x)=5x2-x+6

Step-by-step explanation:

I hope this helps

Answer:

2/9

Step-by-step explanation:

Slope = y2- y1/x2 - x1

Given

x1 = -9

y1 = 2

x2 = 0

y2 = 4

Therefore

Slope = 4 - 2 /0 -(-9)

= 4 - 2/0 + 9

= 2/9

Answer:

2/9 is correct, or just .22

Step-by-step explanation:

Use the formula  [tex]\frac{x^2 - x^1}{y^2 - y^1} = \frac{rise}{run} = \frac{-9 - 0}{2 -4}[/tex]

However, the variables, are not squared, that is meant to be subscript :D

Answer:

Must determine the LCD.  Think:  what is the smallest (least) number divisible by both 30 and 20?  You could, of course, just multiply 30 and 20, obtaining 600, but that would not be the LCD.

Note that 30 and 20 share the common factor 10.  Multiplying 3 and 2 together produces 6.  The LCD is 10*6 = 60.  Note that both 30 and 20 divide into 60 with no remainder.

Then  19/30  = 2(19) / 2[30]  = 38/60, and 

13/20 = 3(13) / 3[20]  = 39/60.

Which is larger, 38/60 or 39/60?

Write the relationship between these 2 numbers using the appropriate inequality operator.

Step-by-step explanation:

The fractions 13/30 and 9/20, when rewritten with a common denominator, are 26/60 and 27/60, respectively.

To rewrite the fractions 13/30 and 9/20 with a common denominator, we need to find the least common multiple (LCM) of the denominators, which is the smallest multiple that both 30 and 20 share.

The prime factorization of 30 is 2 * 3 * 5, and the prime factorization of 20 is 2 * 2 * 5. To find the LCM, we take the highest power of each prime factor that appears in either number:

LCM(30, 20) = 2 * 2 * 3 * 5 = 60

Now, let's rewrite the fractions with the common denominator of 60:

13/30 = (13/30) * (2/2) = (13 * 2) / (30 * 2) = 26/60

9/20 = (9/20) * (3/3) = (9 * 3) / (20 * 3) = 27/60

So, the fractions 13/30 and 9/20, when rewritten with a common denominator, are 26/60 and 27/60, respectively.

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Answer:16.97cm

Step-by-step explanation:

To find the hypotenuse side of an isosceles of side 12cm each

Using pythagoras theorem

hyp^2=opp^2+adj^2

hyp^2=12^2+12^2

Hyp^2=144+144

hyp=√288

Hyp=16.97cm

Answer:

C

Step-by-step explanation:

63° =63°

CB = AB

3x = 4x - 2

Answer:

Answer C is correct

=6

Step-by-step explanation:

[tex]3x = 4x - 2 \\ 2 = 4x - 3x \\ 2 = x \\ \\ ab \: \: \: length = 3x \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 3 \times 2 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 6[/tex]