If n is a positive integer, how many 5-tuples of integers from 1 through n can be formed in which the elements of the 5-tuple are written in increasing order but are not necessarily distinct? In other words, how many 5-tuples of integers (h, i, j, k, m) are there with 1 ≤ h ≤ i ≤ j ≤ k ≤ m ≤ n? As in Example 9.6.3, you can represent any ordered 5-tuple of integers (h, i, j, k, m) with 1 ≤ h ≤ i ≤ j ≤ k ≤ m ≤ n as a string of n − 1 vertical bars and 5 crosses, with the position of crosses indicating which 5 integers from 1 to n are included in the 5-tuple. Thus, the number of 5-tuples is the same as the number of strings of n+4 vertical bars and 5 crosses, which is n(n+1)(n+2)(n+3)(n+4) 120​ .

Answer:

square

Step-by-step explanation:

it is a square because all the shapes/parts are the same size

it also has 6 faces, 12 vertices

Answer:

For the first one:

y = 2/3x + 1

For the second one:

y = -5x + 4

Step-by-step explanation:

As you may already know, in the y=mx+b equation format:

m = slope

b = y-intercept

On the graph, it already shows the y-intercept, so you can automatically find your b in the equation.

And, the easiest, most quick way to find the slope by using a graph is to calculate using rise/run. So, by doing that you can calculate the equation.

Then, you can just leave the variables y and x alone.

Hope this helped!!

Step-by-step explanation:

Area of rectangle= l×b

= 4cm×6cm

= 24cm²

Area of circle. = πr²

radius of circle = diameter÷2=6÷2=3cm

Area of circle. = 3.14×3²=3.14×9

Area of circle. = 28.26cm²

[tex]area \: of \: composite \: figure = area \: of \: circle \: + area \: of \: rectangle[/tex]

Area of........... = 28.26cm²+24cm²

= 52.26cm²

PLEASE MARK BRAINLIEST.

The area of the composite shape is: B. 38 cm²

Area of a composite shape = sum of the area of each shape that makes up the composite shape.

Thus:

Area of composite shape = area of semicircle + area of rectangle

= 1/2πr² + length × width

Radius (r) = 1/2(6) = 3 cm

Length = 6 cm

Width = 4 cm

Substitute

Area of composite shape = 1/2(3.14)(3²) + 6 × 4

Area of composite shape = 38 cm²

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Answer:

Graph 4

Step-by-step explanation:

Answer:

Step-by-step explanation:

Use the coordinates of two points to determine the slope of the line through them.

Using (3,105) and (1,35):  slope = (105-35)/(3-1) = 35

Point-slope equation for line of slope 35 passing through (1,35):

y-35 = 35(x-1)

y = 35x, which is equivalent to Brian's equation.

Answer:

r5dd

Step-by-step explanation:

The inequality shown in the graph is 3x - 2y ≤ 4.

Inequalities are mathematical formulas in which neither side is equal. Unlike equations, we compare two values in inequality. In between, the equal sign is substituted by a less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

As, we take two points from the graph (0, -2) and (4, 4).

Now, the slope of solid line

slope = (4 + 2)/ (4- 0)

slope = 6 /4

slope = 3/2

and, equation of solid line is

y - (-2) = 3/2 (x-0)

y+ 2 = 3/2 x

y= 3/2 x - 2

Then, the required inequality is

y + 2 ≥ 3/2 x

Multiply both sides by 2.

2y+ 4 ≥ 3x

3x - 2y ≤ 4.

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9514 1404 393

Answer:

  [[-14][-1]]

Step-by-step explanation:

Row m of the first matrix is multiplied term-by-term by column n of the second matrix to get term (m,n) of the product matrix.

  [tex]\left[\begin{array}{cc}2&-4\\3&-1\end{array}\right]\times\left[\begin{array}{c}1&4\end{array}\right] =\left[\begin{array}{c}(2)(1)+(-4)(4)&(3)(1)+(-1)(4)\end{array}\right] =\left[\begin{array}{c}-14&-1\end{array}\right][/tex]

Answer:

Step-by-step explanation:

The first picture below shows the missing image in the question.

There are 4 edges of each tile;

This clearly explains to us that the total number of edges present in the n tiles is 4n.

Now, if a tile "X" touches and comes in contact with another tile "Y", then edges touching each other are one edge of a tile X and one edge of a tile Y.

From the second diagram below, the edge, X_2, and Y_4 are touching each other.

Now, the total number of edges that touch some edges is always even.

We can now say that:

The edge length of filling = No. of edges that do not touch another file

= Total no. of edges  -  No. of edges that touch another edge.

However, the total number of edges is even.

The number of edges that touch another edge is also even.

Thus, the difference is also even and the number of edges that do not touch another is even.

So, the edge length of filling is always even.

Answer:

32

Step-by-step explanation:

:)

Answer:

True

Step-by-step explanation:

It passes the vertical line test, meaning you can draw a vertical line anywhere on the graph and it will only intersect at one point

this means that for every input (x value) there is only one output (y value)

Yes, The graph represents a function.

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

We have to show a graph.

Now, We know that;

The vertical line test, meaning you can draw a vertical line anywhere on the graph and it will only intersect at one point, then  it represent a function.

Here, The graph satisfy vertical line test, this means that for every input (x value) there is only one output (y value).

Thus, The graph represents a function.

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9x+6-4x=4x+7

5x+6=4x+7

   -6       -6

5x=4x+1

-4x -4x

x=1

---

hope it helps

Answer:

6 feet

Step-by-step explanation:

Answer:

2/5

Step-by-step explanation:

After solving the given equation, we get the value of x is

"An equation is a statement of equality between two expressions consisting of variables and/or numbers."

Solve the given equation, to find the value of x

[tex]\frac{2x}{3}-1 =4\\\frac{2x-3}{3}=4\\ 2x-3=12\\2x=15\\x=\frac{15}{2}\\ x=7.5[/tex]

Hence, the value of x is 7.5

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Answer:

22

Step-by-step explanation:

You can substitute a with 15. So now, the equation is 2(15 - 5) + 2.

We can use PEMDAS to solve this equation now. Since the P is first in PEMDAS, we have to solve what's inside the parentheses first. 15 - 5 would be 10. So now the equation is 2(10) + 2.

There's no more to solve in the parentheses, so we can move on to multiplication. 2(10) would be 20. So now the equation is 20 + 2.

Add 20 + 2 and you get 22. Hope that helps!

Answer:

26 mm

Step-by-step explanation:

Answer:

26

Step-by-step explanation:

you use the Pythagorean theorem so it look like: 10^2 + 24^2 = c^2

then u solve with algebra

Answer:

The answer is k = -13.

Step-by-step explanation:

1) Subtract 6 from both sides.

[tex] - 7 - 6 = k[/tex]

2) Simplify -7-6 to -13.

[tex] - 13 = k[/tex]

3) Switch sides.

[tex]k = - 13[/tex]

Therefor, the answer would be k = -13.

Answer:

Step-by-step explanation:

839°

Answer:

Step-by-step explanation:

Blank 1 = " x "

Blank 2 = " 3 "

Answer:

B. Too little information.

Step-by-step explanation:

The information provided in the problem is sufficient to determine the total weight of what Harvey lifted. Therefore, the problem has:

B. Too little information.

Answer:

no.

Step-by-step explanation:

Answer:

I don't believe there is any laws specifically saying that its illegal, but its probably not advised.

Answer:

in total? if so it is 3b +1 books

Step-by-step explanation:

Answer:

the unkniwn number if the variable would be 16

Step-by-step explanation:

bc if u divie 10 by 6 its eguals up to 11 then u add 5 and it equals 16

Answer:

$883.14

Step-by-step explanation:

Have a great day! ;)

Answer:

813.95*%8.5=69.19

69.19+813.95=883.14

883.14

Questions:

a. The jet ski is for two persons and has turbo packs.

b. The jet ski is not for two persons but has turbo packs.

Answer:

[tex]P(P\ and\ T) = \frac{10}{29}[/tex]

[tex]P(P\ and\ T') = \frac{270}{841}[/tex]

Step-by-step explanation:

Given

[tex]n=29[/tex] --- Total

[tex]T = 14[/tex] --- Two person skis

[tex]P = 18[/tex] --- Turbo packs skis

[tex]P\ and\ T = 10[/tex] --- Two person ski and Turbo packs

Solving (a):

This is represented as: [tex]P(P\ and\ T)[/tex]

This is calculated as:

[tex]P(P\ and\ T) = \frac{n(P\ and\ T)}{n}[/tex]

[tex]P(P\ and\ T) = \frac{10}{29}[/tex]

Solving (a):

This is represented as: [tex]P(P\ and\ T')[/tex]

This is calculated as:

[tex]P(P\ and\ T') = P(P)\ and\ P(T')[/tex]

[tex]P(P\ and\ T') = P(P)\ *\ P(T')[/tex]

Using the complement rule, we have:

[tex]P(T') = 1 - P(T)[/tex]

The equation becomes:

[tex]P(P\ and\ T') = P(P)\ *\ [1 - P(T)][/tex]

[tex]P(P\ and\ T') = \frac{n(P)}{n}\ *\ [1 - \frac{n(T)}{n}][/tex]

[tex]P(P\ and\ T') = \frac{18}{29}\ *\ [1 - \frac{14}{29}][/tex]

[tex]P(P\ and\ T') = \frac{18}{29}\ *\ \frac{29-14}{29}[/tex]

[tex]P(P\ and\ T') = \frac{18}{29}\ *\ \frac{15}{29}[/tex]

[tex]P(P\ and\ T') = \frac{18*15}{29*29}[/tex]

[tex]P(P\ and\ T') = \frac{270}{841}[/tex]

Answer:

I am not sure if you have to be a good time

Answer:

x = a is a zero of a polinomial f(x), this is the same than: f(x) has a root at x = a

Then: f(a) = 0.

a) x = a is a ____ of the polynomial equation f(x) = 0.

If we define f(x) = 0, then x = a is a solution of the equation.

Then the complete sentence is:

x = a is a solution of the polynomial equation f(x) = 0.

b) ____ is a factor of the polynomial f(x).

Remember that if a polynomial p(x) of degree n has the roots x₁, x₂, ..., xₙ

Then we can write p(x) in the factorized form as:

p(x) = A*(x - x₁)*(x - x₂)*...*(x - xₙ)

Where A is a real number.

Then if in this case we know that a is a root of f(x), then (x - a) is a factor of the polynomial f(x), then the complete sentence is:

(x - a) is a factor of the polynomial f(x).

c) (a, 0) is a ____ of the graph f(x)

We usually use the notation y = f(x).

Then the points of the form (x, f(x)) are the points that belong to the graph of f(x).

In this case, the point (a, f(a)) = (a, 0)

This point belongs to the graph of f(x), then the complete sentence can be written as:

(a, 0) is a point of the graph f(x).

9514 1404 393

Answer:

  C  f(x) = {4e^x -5, ..., -x +7, ...

Step-by-step explanation:

The easiest portion to check is the constant section in the interval [0, 6]. All of the function definitions agree on that, so that doesn't help choose the right answer.

__

Next easiest is the linear section at the right. It has a negative slope. Extension of the line to the y-axis shows it has a positive y-intercept. This eliminates choices A and D.

__

The horizontal asymptote of the exponential portion at the left is -5. Both of the remaining choices B and C agree on that. The exponential is increasing at an increasing rate, so its coefficient is positive. This eliminates choice B.

The appropriate description of the function on the graph is offered by choice C.

_____

The graph below plots the function. We note that the given graph seems to show the exponential curve incorrectly.

Answer:

y = x + 2

y =-x - 4

Step-by-step explanation:

Find the slope and y-intercept of each lines to write the equation in slope intercept form: y = mx + b where m is the slope and b is the y-intercept