How many different ways are there to select a group of 7 out of 9 people for a committee in which there
are 7 distinct roles?

Answer:

the first one is your answer

Step-by-step explanation:

I hope it help ^_^

have a great day!!

Answer:

[tex] \red{ \bold{\begin{bmatrix} - 4 & 26 & - 5 \\ \\6 & 17& - 8\end{bmatrix} }}[/tex]

Step-by-step explanation:

[tex] \begin{bmatrix} 4 & 19 & - 5\\ \\ 7 & 0 & - 14\end{bmatrix} + \begin{bmatrix} -8 & 7 & 0\\ \\ - 1 & 17 & 6\end{bmatrix} \\ \\ = \begin{bmatrix} 4 + ( - 8) & 19 + 7 & - 5 + 0\\ \\ 7 + ( - 1) & 0 + 17& - 14 + 6\end{bmatrix} \\ \\ = \begin{bmatrix} 4 - 8 & 19 + 7 & - 5 + 0\\ \\ 7 - 1 & 0 + 17& - 14 + 6\end{bmatrix} \\ \\ \purple{ \bold{ = \begin{bmatrix} - 4 & 26 & - 5 \\ \\6 & 17& - 8\end{bmatrix} }}[/tex]

[tex]\left[\begin{array}{ccc}-4&26 &-5 \\6&17&-8\\\end{array}\right][/tex] is the sum of the given matrices.

There are columns and rows in a matrix. The dimensions or size of a matrix are determined by these rows and columns. There are many different kinds of matrices, including row, column, null, square, diagonal, upper triangular, lower triangular, symmetric, and antisymmetric matrices.

Given two matrices,

[tex]\left[\begin{array}{ccc}4&19&-5\\7&0&-14\\\end{array}\right][/tex] and [tex]\left[\begin{array}{ccc}-8&7&-0\\-1&17&6\\\end{array}\right][/tex]

We need to find the sum of this given matrices

The only matrices that may be added together are ones of the same size. As a result, you can only add matrices if they are both  m × n. For example, you can add two or more 3 × 3, 1 × 2, or 5 × 4 matrices. You cannot add a 2 × 3 and a 3 × 2 matrix, a 4 × 4 and a 3 × 3, etc. The number of rows and columns of all the matrices being added must exactly match.

thus,

Sum of matrices = [tex]\left[\begin{array}{ccc}4 -8&19 +7 &-5 + 0\\7 -1&0 + 17&-14 +6\\\end{array}\right][/tex]

Sum of matrices = [tex]\left[\begin{array}{ccc}-4&26 &-5 \\6&17&-8\\\end{array}\right][/tex]

Therefore, option D is correct.

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Answer:

B) Subtract 12-4 to calculate the range of this data set

Answer:

(x + 3) (x + 5)

Answer:

Suppose that you have a random point (x, y), and now you do a dilation from the origin with a scale factor of k.

Then the new coordinates of the point are:

(k*x, k*y)

Now, in this question, we have a dilation of scale factor k = 1/2.

Then if we start with the point (x, y), after the dilation we will have the point (x/2, y/2)

Now you can notice that instead of this, in the table we have (2*x, 2*y)

So this is the error, the transformation is not correctly calculated.

Answer:

18.7

Step-by-step explanation:

fhfhdhsuxudjdejdhdjdjx

Graph is on the picture.

hope ot helps.

Answer:

Step-by-step explanation:

x² +7x + 6  = (x+1)(x+6)

[tex]\frac{4}{x+3}[/tex]

sum is addition

Answer:

3/4

Step-by-step explanation:

There are 4 total outcomes - 1,3,5 and 7.

The outcomes which are less than 6 are 1, 3 and 5. So 3/4 will be < 6.

Answer:

ask Utah not me.........

Answer:

$185 is withheld

Step-by-step explanation:

3700 x .05 is 185.

Answer:

4x-y+3

Step-by-step explanation:

When we are given two points and asked to find the equation of the line, we must find the slope first. After that, it is the same three steps: substitute, distribute, solve for y. You should now be able to write the equation of a line in: point-slope form, slope-intercept form, or standard form

Answer:

The perimeter is 98 feet

Answer:

srry buddy I don't understand your language

I am from India

can ask it in English

then I could help you

Answer:

Pythagorean Theorum:

16ft

Step-by-step explanation:

pythagorean theorum states a^2+b^2=c^2

it only works for right triangles, c is the hypotenuse, a and b are the legs

so to find b we plug in the info we have!

7.8^2+b^2=17.8^2

next we simplify:

60.84+b^2= 316.84

subtract 60.84 from both sides to isolate the variable:

b^2=256

square root both sides

b=16

16ft is the answer

I hope this helps!

Answer:

[tex]\displaystyle \frac{x + 7}{3}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle \frac{x^2 + 12x + 35}{3x + 15}[/tex]

Step 2: Simplify

Answer

189

Step-by-step explanation:

just is

Step-by-step explanation:

hope this right.but if its not,im so sorry

The required percent of change from 4/5 to 3/5 is a decrease of 25%.

The percentage is the ratio of the composition of value to the overall composition of value multiplied by 100.

Here,
The fraction 4/5 is greater than the fraction 3/5, so the change from 4/5 to 3/5 represents a decrease.

To find the percent of change, we first need to find the amount of change. We can do this by subtracting the original value (4/5) from the new value (3/5),

3/5 - 4/5 = -1/5

The amount of change is -1/5. To express this as a percent, we can use the formula.,

Percent change = (amount of change / original value) * 100%

Substituting the values we have,

Percent change = (-1/5 / 4/5) * 100%

Percent change = -0.25 * 100%

Percent change = -25%

Therefore, the percent of change from 4/5 to 3/5 is a decrease of 25%.

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Answer:

area of top and bottom (total of 2) = 4x4x2 = 32 yd^2

area of 4 sides = 4x1x4 =16 yd^2

32+16 = 48 yd^2

Answer:

15

Step-by-step explanation:

1 turns in to 3 and you multiply that by 5

Answer:

The estimated age of the skull is 39118 years.

Step-by-step explanation:

The amount of the substance after t years is given by:

[tex]A(t) = A(0)(1-r)^t[/tex]

In which A(0) is the initial amount, and r is the decay rate.

The half-life of carbon-14 is about 5600 years.

This means that [tex]A(5600) = 0.5A(0)[/tex]. We use this to find r, or 1 - r, to replace in the equation. So

[tex]A(t) = A(0)(1-r)^t[/tex]

[tex]0.5A(0) = A(0)(1-r)^{5600}[/tex]

[tex](1-r)^{5600} = 0.5[/tex]

[tex]\sqrt[5600]{(1-r)^{5600}} = \sqrt[5600]{0.5}[/tex]

[tex]1 - r = (0.5)^{\frac{1}{5600}}[/tex]

[tex]1 - r = 0.9999[/tex]

So

[tex]A(t) = A(0)(0.9999)^t[/tex]

Only 2% of the original amount of carbon-14 remains in the burnt wood of the campfire.

This is t for which [tex]A(t) = 0.02A(0)[/tex]. So

[tex]A(t) = A(0)(0.9999)^t[/tex]

[tex]0.02A(0) = A(0)(0.9999)^t[/tex]

[tex](0.9999)^t = 0.02[/tex]

[tex]\log{(0.9999)^t} = \log{0.02}[/tex]

[tex]t\log{0.9999} = \log{0.02}[/tex]

[tex]t = \frac{\log{0.02}}{\log{0.9999}}[/tex]

[tex]t = 39118[/tex]

The estimated age of the skull is 39118 years.

Answer:

True

Step-by-step explanation:

Answer:

x = 400

y = 1000

Step-by-step explanation:

Step 1

mult by the first equation by 2

15x + 2y = 4000                          ....... x 2

30x + 4y = 8000

the second equation is

10x = 4y

=

10x - 4y =0

then subtract the second equation from the first one

30x + 4y = 8000

- (minus)

10x  -  4y = 0

the you will get

20x = 8000

x = 8000/20  = 400

then you will substitute value of x in any the give equation to work out the value of y

Answer:

No cakes.

Step-by-step explanation:

5/60= 12. 1hr=60 mins. 60/3=20. 20 mins=1 cake.