a bank of 10 movies is chosen from for a movie marathon in which 7 movies will be played in a specific order. in how many different ways can the movies for the movie marathon be chosen?

You have to convert the following number into a fraction:

This is a periodic decimal number, which explicitely is 0.68888888....

In order to convert this number to a fraction you proceed as follow:

You put 0.68 and not 0.688 because to do the convertion you need only the first periodic number (that is, only the first 8). The key is to put in the numerator the complete number as whole number, that is, 68. To this number you subtract the whole part of the decimal number, this whole part is 0 because of the 0.688. Then, in the numerator you have 68 - 0. In the denominator you write a number composed only by 9's. The number of 9 numbers is determined by the number of digits of the first number in the numerator. That is two 9 numbers

The given inequality is expressed as

The first step is to collect like terms. Thus, we have

We would find x by dividing both sides of the inequality by - 5. Since - 5 is negative, the inequality symbol would be reversed. Thus, we have

Answer:

1.2

Step-by-step explanation:

Answer: 48 is the smaller integer

Step-by-step explanation: 48+49=97 48 and 49 are the two integers, 48 is smaller than 49.

A perfect square is a number that is gotten by multiplying it by itself.

An example of a perfect square is 25 and one that is not is 7.

A square number, sometimes known as a perfect square, is an integer that is the square of another integer; in other words, it is the product of another integer and itself. For instance, 9 is a square number since it equals 3² and may be expressed as 3 × 3.

A perfect square is a number that can be written as the product of two integers or as an integer's second exponent. 25 is a perfect square because it is the product of the integer 5 and itself, 5 × 5 = 25. A perfect square is a positive integer formed by multiplying an integer by itself.

Learn more about square on:

https://brainly.com/question/27307830

#SPJ1

Answer:

K=0 N=3 and I=-2

it's

3+-20= -17

The inverse of f(x) will be a relation if the original function's graph contains any location where a horizontal line would cross itself twice, but the inverse of that function won't be a function in and of itself.

Does a function's inverse always represent a relationship?

Essentially, obtaining an inverse is only a matter of changing the x and y coordinates. Although it might not always be a function, this newly generated inverse will be a relation. Sometimes a function's inverse isn't actually a function!

The inverse will also be a function if all horizontal lines only ever intersect one place on the original graph.

To learn more about function's inverse refer to:

https://brainly.com/question/11735394

#SPJ13

Answer:

x = 9

Step-by-step explanation:

using the rule of indices

[tex]\frac{a^{m} }{a^{n} }[/tex] = [tex]a^{(m-n)}[/tex] , then

[tex]5^{x}[/tex] = [tex]\frac{5^{8} }{5^{-1} }[/tex] = [tex]5^{(8-(-1))}[/tex] = [tex]5^{(8+1)}[/tex] = [tex]5^{9}[/tex]

since bases on both sides are equal, both 5 , then equate indices

x = 9

First, multiply by 1:

cos x * 1 + cos x tan^2 x

Factor cos x out of cos x tan^2 x

cos x * 1 + cos x (tan ^2 x)

Factor again

cos x (1+ tan^2 x)

Rearrange:

cos x (tan^2 x +1 )

Apply Pythagorean identity:

cos x * sec ^2 x

Rewrite Sec x in terms of sin and cos

cos x * (1 / cos x )^2

Apply product rule:

cos x * 1^2 / cos^2 x

cos x * (1/ cos^2 x )

Cancel common factor cos x

1 / cos x

1/cosx = sec x

Answer : sec x (option c)

Neither parallel nor perpendicular

The points are:

A(3, 1), B(3,-4), C(-4,1), D (-4,5)

The slope of a line is given as:

The slope of the line AB, m(AB), with gthe points A(3, 1), B(3,-4) is given as:

The slope of the line CD, m(CD), with the points C(-4,1), D (-4,5) is given as:

A line that has an infinite slope is a vertical line

For the two lines to be parallel, m(AB) should be equal to m(CD)

For the two lines to be perpendicular, m(AB) = -1 / m(CD)

None of the conditions for paralleleism and perpendicularity is met, the lines AB and CD are neither parallel nor perpendicular

The fourth option [tex](3^{5)^{2} }[/tex]/[tex](3)^{4}[/tex] does not have value less than 1.

Power of a number is defined as  how many times to use the number in a multiplication. We also call  Powers as Exponents or Indices. For example, [tex]8^{2}[/tex] could be called “8 to the power 2” or “8 to the second power”, or simply “8 squared”.

Step-by-step explanation:

In first option, [tex]4^{11}[/tex]/[tex]4^{14[/tex], if we solve this, the answer comes out to be 1/[tex]4^{3}[/tex] which will be 1/64 which is 0.015 that is lesser than 1.

In second option, [tex](5^{4)^{2} }[/tex]×[tex]5^{-11}[/tex],if we solve this, the answer comes out to be 1/[tex]5^{3}[/tex] which will be 1/125 which is 0.008 that is lesser than 1

In third option,[tex](2^{3)^{-2} }[/tex],if we solve this, the answer comes out to be 1/[tex]2^{6}[/tex] which will be 1/64 which is 0.015 that is lesser than 1

in Fourth option ,[tex](3^{5)^{2} }[/tex]/[tex]3^{4}[/tex] , if solve this, the answer comes out to be [tex]3^{6}[/tex] which  will be 729 that is larger than 1

∴fourth option will be the answer.

To know more about Exponent, Visit:

https://brainly.com/question/219134

#SPJ13

Answer:

2%

Step-by-step explanation:

Cyphon, this is the solution:

We have to multiply the following fractions:

7/12 * 4/3

7 * 4 / 12 * 3

28/36

Simplifying, we have:

7/9 (Dividing by 4 numerator and denominator)

We have to add the following fractions:

- 1/2 + 4/9

Let's find the lowest common denominator between 2 and 9, as follows:

2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22

9, 18, 27, 36

The lowest common denominator is 18

Answer:

y = -3x + 7

Step-by-step explanation:

Hello!

Slope-Intercept Form: y = mx + b

The y-intercept of the graph, or the point where the graph intersects the y-axis, is 7.

We can find the slope by finding the Rise/Run.

The graph rises negatively by 3 units as it runs positively by 1 unit, so the slope is -3/1 or -3.

Given the slope and y-intercept, the equation of the line is y = -3x + 7.

Hence when ΔCDE is translated to ΔC'D'E', the congruency is correct  ΔDCE ≅ ΔD'C'E'

Triangle is a shape with three angles, thus when it is translated downward, it returns to its original form.

Triangle will remain unchanged after translation since the length of the sides and the measure of the angles are not altered.

Translation involves moving the same triangle to a new location while maintaining the triangle's angle and side.

therefore,

CD ≅ C'D'

CE ≅ C'E'

DE ≅ D'E'

Hence, Option (B) is correct answer.

To know more about translation please visit:

https://brainly.com/question/12463306

#SPJ10

Answer:

1- 80 miles

2- 3 hours

3- 35 mph

4- 180 miles

5- 5 hours

6- 15 mph

Step-by-step explanation:

if you travel at 40 miles every hour, then in 2 hours you'll travel 80 miles.

From the given figure the value of x is 6 and the measure of angle 3 is 57°.

From the given figure, m∠4=(20x+3)° and m∠6=(9x+3)°.

Angles in parallel lines are angles that are created when two parallel lines are intersected by another line called a transversal.

22). From the given figure

m∠4+m∠6=180° (Coointerior angles sum is equal to 180°)

(20x+3)°+(9x+3)°=180°

⇒ 29x+6=180

⇒ 29x=174

⇒ x=6

m∠4=(20x+3)°=123°

m∠3+m∠4=180° (Adjacent angles sum is equal to 180°)

m∠3+123=180

m∠3=57°

23). From the given figure

m∠3=m∠6 (Alternate interior angles are congruent)

x+10 = 4x-20

⇒ 3x=30

⇒ x=10

Now, m∠6=4x-20

=20

m∠6+m∠8=180° (Adjacent angles sum is equal to 180°)

20+m∠8=180°

⇒ m∠8=160

Therefore, from the given figure the value of x is 6 and the measure of angle 3 is 57°.

To learn more about the alternate interior angles visit:

https://brainly.com/question/28380652.

#SPJ1

Remember the slope-intercept of a line is

where:

• m ,is the slope of the line

• b, is the y-intercept of the line

Now, let's substitute the data we're given. Thereby, the equation would be

_______________

I'm reading your question

___________________

According to the Pythagorean theorem

Hypotenuse ^2 = Side 1 ^2 + Side 2 ^2

The hypotenuse is the case (Square 1 )

area of the sqaure= side of the square^2

________________________

That means the area of 1 is = area of square 2 + area fo square3 (J is false)

_______________________________

We are not sure about the relation between square 2 and 3 just the addition is the square 1 (F and H we have no certainty)

______________________________

G is true

______________________________

Answer

G

The area of the irregular figure will be equal to the sum of area of triangle and the area of the rectangle.

The required area can be determined as,

Thus, the required area of the irregular figure is 426 square feet.

The correct option is B: They both are correct. The function g is the function f translated 4 units and it is also the function f translated 4 units to the left.

for the given question.

The parent function is f(x) = x + 1.

The translated function is g(x).

As, it is shown in the graph that there is a shift of 4 units up as well as 4 units to the left of the original line.

It mean both Veronica and Drawn are correct.

Thus, The function g is the function f translated 4 units and it is also the function f translated 4 units to the left.

To know more about the translation, here

https://brainly.com/question/1574635

#SPJ13

Answer:

don't forget to give me brainest

star, like.

this is the correct solution.

Speed of light = 300,000 km/sec

Rocket's speed = 63,000 km/hr or 6.3 x 10⁴ km/hr

Alpha Centauri distance from Earth = 4.11 x 10¹³ km

One light year (distance) = 9.46 x 10¹² km

To solve for the time it takes it travel, we can manipulate the speed formula.

We already have the distance of Alpha Centauri from Earth written above. We also have the speed of the rocket written above too. We will substitute those values to the formula.

The best way to divide the land having canal and road parallel, is divide land with the line perpendicular to the road and canal.

What is parallel and perpendicular?

In simple geometry, two geometric objects cross at a right angle (90 degrees or /2 radians) if they are perpendicular to one another. The perpendicular symbol,⟂, can be used to graphically depict the condition of perpendicularity. It can be defined between two planes, between two lines (or line segments), and between two lines.

In geometry, parallel lines are coplanar, straight lines that never intersect. Any parallel planes in the same three-dimensional space are those that never intersect. Parallel curves are those that have a predetermined minimum separation between them and do not touch or intersect.

We need to give equal access of canal to each section of land so, the best way to divide land is divide land perpendicularly to canal and the road.

To know more about parallel and perpendicular, go to link

https://brainly.com/question/25429151

#SPJ13

Answer:

21 cups

Step-by-step explanation:

This question tests on the the concept of Unit Conversion.

Unit Conversions involving converting values into per unit values.

Example: 15 apples in 3 days = (15 ÷ 3) apples per day = 5 apples per day

For this Question, we are given:

5 people per 3 cups of rice.

We are asked to find the number of cups of rice that 35 people can finish.

5 people = 3 cups

(5 ÷ 5) people = (3 ÷ 5) cups

1 person = 0.6 cups

(1 × 35) people = (0.6 × 35) cups

35 people = 21 cups

Answer:

3

Step-by-step explanation:

There are 4.5 diamonds, which represent 9 hours in total.

This corresponds to 9/3 = 3 circles.

Answer:

3 circles

Step-by-step explanation:

For the pig, it's 4.5 squares. Each square is two hours, and 4.5*2 is 9. Each circle is 3 hours, and 9 divided by 3 is 3. Therefore, the answer is 3 circles.

Answer:

1

Step-by-step explanation:

The absolute value of x is the black line, therefor the absolute value of x-1 is the blue line

Hope that helps