You and three of your friends buy tickets for a concert so that you sit together in the same row. Write an expression using factorials that could be used to find the probability that you will get the seat on the far left.

Answer: 28.8%

Step-by-step explanation:

First find out what her speed is:

Speed = Distance / Time

= 50 / 45

= 1.11 meters/second

Now her speed is:

= 50 / 35

= 1.43 meters/ second

The percentage increase in her speed is:

= (New speed - Old speed) / Old speed

= (1.43 - 1.11) / 1.11

= 0.288

= 28.8%

Answer:

Angle between vectors u and v: 26.56 degrees

Step-by-step explanation:

I just recently did this question, so here's my response and hopefully that helps you:

Vector u is <-3,-4> and vector v is <-2,-1>. To find the angle between the two vectors, you first need to find their dot product. This means that u*v = <-3,-4> * <-2,-1> = (-3)(-2) + (-4)(-1) = 6 + 4 = 10. Second, you find the product of each of the vectors' magnitudes. The magnitude for vector u is ||u|| = sqrt((-3)^2 + (-4)^2) = sqrt(9+16) = sqrt(25) = 5. The magnitude for vector v is ||v|| = sqrt((-2)^2 + (-1)^2) = sqrt(4+1) = sqrt(5). The product of the magnitudes would thus be ||u||||v|| = 5sqrt(5). Third, divide the dot product by the product of the magnitudes which would be u*v/||u||||v|| = 10/5sqrt(5) = 2sqrt(5)/5. Lastly, you take the arccosine of the result which would be theta=cos^-1(2sqrt(5)/5) = 26.56 degrees, which is the angle between vectors u and v.

The explanation for determining the angle between the two vectors and find the angle in degrees should be explained below.

Since

vector v is from (0,0) to ( -2,-1)

So,

[tex]\bar{v}=-2i-j[/tex]

Here, vector u is from (0,0) to (-3,-4)

So,

[tex]\bar{u}=-3i-j4[/tex]

Now here we used dot product concept

Now

[tex]\bar{u}.\bar{v}=|u|.|v|cos\theta\\ \bar{u}.\bar{v}=(-3i-4j).(-2i-j)=6+4=10\\ |u|=\sqrt{9+16}=5\\ |v|=\sqrt{4+1}=\sqrt{5}\\ cos\theta=10/(5*\sqrt5)=2/\sqrt5\\ \theta=cos^{-1}(2/\sqrt5)= 26.56^o[/tex]

Learn more about graph here: https://brainly.com/question/2111181

Given:

Ty’s house is located ( 7,8) and the library is located ( 7,-6).

Each unit on the coordinate plane represents 1 block.

To find:

The number of blocks from Ty’s house to the library.

Solution:

Distance formula:

[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

We need to find the distance between the two points ( 7,8) and ( 7,-6).

Using the distance formula, we get

[tex]D=\sqrt{(7-7)^2+(-6-8)^2}[/tex]

[tex]D=\sqrt{(0)^2+(-14)^2}[/tex]

[tex]D=\sqrt{196}[/tex]

[tex]D=14[/tex]

The distance between the two points ( 7,8) and ( 7,-6) is 14 units.

We know that, each unit on the coordinate plane represents 1 block.

Therefore, there are 14 blocks from Ty’s house to the library.

Answer:

The measure of Angle M = 74.8°

Step-by-step explanation:

Cos(x) = [tex]\frac{adjacent}{hypotenuse}[/tex]

Cos(x) = [tex]\frac{26}{99}[/tex]

x = Cos⁻¹([tex]\frac{26}{99}[/tex])

x = 74.8°

So the measure of Angle M = 74.8°

Hope this helps!

Answer:

Trigonometry

since we have the adjacent and the hypotenuse we use CAH .We are looking for the angle we take the cos inverse

cos x = A

H

cos x = 26

99

x = cos -1 (26 ÷ 99)

x = 74.77404748

x= 74.8

Answer:

x > -2

Step-by-step explanation:

-3x + 2 < 8

our goal is to isolate the x

subtract two from both sides

-3x < 8 - 2

- 3x < 6

divide both sides by -3

flip the sign because we divided by a negative number

x > -2

Answer:

The top right and the middle one.

Step-by-step explanation:

Answer:

The answer

Step-by-step explanation:

16 nickels and 30 dimes

Answer:

(- 2, - 1 )

Step-by-step explanation:

Given the 2 equations

y = 2x + 3 → (1)

y = 3x + 5 → (2)

Substitute y = 3x + 5 into (1)

3x + 5 = 2x + 3 ( subtract 2x from both sides )

x + 5 = 3 ( subtract 5 from both sides )

x = - 2

Substitute x = - 2 into either of the 2 equations and evaluate for y

Substituting into (1)

y = 2(- 2) + 3 = - 4 + 3 = - 1

solution is (- 2, - 1 )

Answer:

8/5 oz

Step-by-step explanation:

The problem is saying that there are 8 ounces of cheese and 5 bowls of spaghetti you need to divide the cheese over. As you need an equal amount of cheese in each bowl, you have to divide 8 ounces by the number of bowls, which is 5. Thus, you would do 8 divided by 5, which we just say is 8/5. Therefore, your answer is 8/5 ounces of cheese (or simplified to 1 3/5).

Answer:

Another way to prove triangles are similar is by SSS, side-side-side. If the measures of corresponding sides are known, then their proportionality can be calculated. If all three pairs are in proportion, then the triangles are similar.

Step-by-step explanation:

Answer:

6a + (6 x 3) = 60

or

6a + 18 = 60

Step-by-step explanation:

You have 6 students who are assigned an unknown amount of problems. We can write it as 6x. Then each is given 3 more problems, so now we have 6x + (6 x 3). We also know that in all they have 60 problems.

Therefore, the equation is:

6x + 18 = 60

Then just solve

6x + 18 = 60

     - 18   -18

6x = 42

x = 7

Answer:

179

Step-by-step explanation: First you would wanna add 70, to get to 100.

Then, add 9 to get to 314. add 70+9, that is your final answer.

TTQA: Suzanne needs to add 79 more cups of flour, to get to the anount called for in the recipe.

Answer:

30.54

Step-by-step explanation:

Here is the complete question used in answering this question

he given cylindrical container r =3 inches and height= 8in is used to fill the rectangular prism fish tank 24 , 24 and 12 inches with water. What is the least number of full cylindrical needed to completely fill the fish tank?

Number of cylinders needed = volume of prism / volume of cylinder

volume of prism = width x height x length = 24 x 24 x 12 = 6912

volume of a cylinder = nr^2h

n = 22/7

r = radius

(22/7) x (3^2) x 8 = 226.29

6912 / 226.29= 30.54

Answer:

the square of 8.3 is 68.89

Step-by-step explanation:

Answer:

264 bananas

Step-by-step explanation:

11/6 = x/144

cross multiplicaion

6x = 11x144

6x = 1584

x = 265

         It males sense since 11 is almost double than 6

         264 is almost double than 144

Answer:

44% cahnce

Step-by-step explanation:

To solve this, add up all the customers. Then, divide the amount of debit card customers, by the total amount of customers. This will give you percentage of people who paid in debit, which is also the probability:

20+26+13

=

59

This is the amount of customers. Now we divide:

26/59

=

0.4406

Remember that to create percentage, you must multiply the decimal by 100:

0.4406*100

=

44.06%

The .06 is so small that it doesnt need to be kept in this percentage:

44%

So this is you answer!

Hope it helps! :)

Answer:

Step-by-step explanation:

3+3=6

answer overall is 28

Answer:

Diameter = 9

Step-by-step explanation:

Let the diameter be represented as x.

Based on the secant-tangent theorem, the following equation representing the relationship between the segments would be:

(16 + x)(16) = 20²

256 + 16x = 400

Subtract 256 from each side

16x = 400 - 256

16x = 144

Divide both sides by 16

x = 144/16

x = 9

Diameter = 9

Answer:

3, 2, 1, 0

Step-by-step explanation:

f(-1) = |-1 - 2|  =  3

f(0) = |0 - (-2)|  =  2

f(1) = |1 - 2|  =  1

f(2) = |2 - 2|  =  0

Answer:

Y=32

Step-by-step explanation:

==========================================================

Explanation:

Pick any term that isn't the first term. Then subtract off the previous term. If we get the same result each time, then the sequence is arithmetic, and that result is the common difference.

We get -8 each time, so the sequence is arithmetic with common difference d = -8. It says to add -8 to each term to get the next term. This is the same as subtracting 8 from each term to get the next term.

Note how:

Answer:

$15

Step-by-step explanation:

If one pound of beef costs 5 dollars then three would be 3 x 5 which is 15.

Answer:

B. 3/5x-3/7

Step-by-step explanation:

You multiply when applying the distributative property

3(1/5x-1/7)

3/5x-3/7 multiply 3 by each value in parentheses.

Answer: 40,000

Step-by-step explanation:

First 6 years: 5,000 + 5,000 = 10,000

Second 6 years: 10,000 + 10,000 = 20,000

Third 6 years: 20,000 + 20,000 = 40,000

Hope this helps!