a set of 25 square blocks is arranged into a $5 \times 5$ square. how many different combinations of 3 blocks can be selected from that set so that no two are in the same row or column? (a) 100 (b) 125 (c) 600 (d) 2300 (e) 3600

Answers

Answer 1

A set of 25 blocks are arranged into 5×5 square, different combination of 3 blocks such that no two are in same column or row is 3600.

As given,

Set of 25 blocks arranged into 5×5 square.

Arrange 3 blocks

Delete column and row belong to filled block

Possibility for

First block =25 ways

Second block=16 ways

Third block =9 ways

Total ways =25×16×9

                 =3600

Therefore, set of 25 blocks are arranged into 5×5 square, different combination of 3 blocks such that no two are in same column or row is 3600.

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Related Questions

In the expression -3 which is the correct order in which operations have been done to x?
5
(1) x was divided by 5 and the result was subtracted from 3.
(2) x had 3 subtracted from it and the result was then divided by 5.
(3) x was divided by 5 and 3 was subtracted from the result.
(4) 5 was divided by x and then 3 was subtracted from the result.

Answers

The answer is the answer number 4 . Thanks

The point (-6,-5) across y=-x

Answers

Answer:

(5, 6 )

Step-by-step explanation:

under a reflection in the line y = - x

a point (x, y ) → (- y, - x ) , then

(- 6, - 5 ) → (5, 6 )

Drag and drop the correct answer choice to each answer blank.
The length of four rivers in Africa is shown in the table below.

River Length (feet)
Nile 21,800,000
Congo 15,010,000
Ubangi 3,520,000
Zambezi 83,800,000
How is the length of the Zambezi river written in scientific notation?

Answers

Answer:

8.38 × 10^7

Step-by-step explanation:

first digit of number X 10 raised to however many digits are after the first

The solution is Option D.

The length of the Zambezi river written in scientific notation is

L = 8.38 x 10⁷ feet

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is given by

The length of the Zambezi river in feet L = 83,800,000 feet

Now , the scientific notation is given by in powers of 10

So ,

The value of L in scientific notation is given by

The value of L = 838 x 10⁵ feet

The value of L = 8.38 x 10² x 10⁵ feet

So , on simplifying the equation , we get

The value of L = 8.38 x 10⁷ feet

Therefore , the value of L is 8.38 x 10⁷ feet

Hence , The length of the Zambezi river written in scientific notation is

L = 8.38 x 10⁷ feet

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-5x divided by 2 >37

Answers

Answer:  x < -14.8

Step-by-step explanation:

    To solve for x, we will isolate the x-variable.

Given:

    [tex]\frac{-5x}{2}[/tex] > 37

Multiply both sides of the equation by 2:

    -5x > 74

Divide both sides of the equation by -5:

➜ Since we are dividing by a negative, we will flip the direction of the sign.

    x < -14.8

Geometry B.5 Add
Learn with an example
If TU = 14 and UV = 10, what is TV?
5

Answers

Should be around 17.2

whats 5 and 1/5 divided by 3

Answers

the answer is 1 11/15

april needs to rent a car while on vacation. the rental company charges $18.95, plus 16 cents for each mile driven. of april only has $40 to spend on the car rental, what is the maximum number of miles she can drive?

Answers

Answer:

Step-by-step explanation:

18.95+.16 = 19.11

answer is 2 miles is the maximum

Choose an expression for the input-output table. Next, using a variable for the value in the input column, determine the next two values in the table if the table were followed.

Answers

Option a, 2x + 1, 6 and 13, 7 and 15.

Here, we are given input-output table as shown in the figure.

To find the equation for this table let us look at each option one by one-

a. 2x + 1

Here if we take input x = 2

output = 2(2) + 1

= 5

If x = 3

output = 7

and if we check for other values also, 2x + 1 will satisfy.

Thus, 2x + 1 is the correct equation.

we can check the points as well-

if x = 6

output = 2(6) + 1 = 13

and if x = 7

output = 2(7) + 1

= 15

Since, we've found the correct answer in option a, we do not need to check the other options.

Thus, option a is the correct answer.

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P = 2 ( l + w ) explain how to work this out please

Answers

Answer:

2l + 2w

Step-by-step explanation:

using the distributive property

a(b + c) = ab + ac

2(l + w)

= 2l + 2w

What is the quotient of 80 divided by 2/3

Answers

Answer:

approximately 13.333333....

Step-by-step explanation:

2/3=0.66666...

80/0.66666...=13.333333..


Find the inequality represented by the graph.

Answers

Answer:

[tex]y\le -\frac{1}{3}x + 1[/tex]

Step-by-step explanation:

The equation of the line is y = mx + b

where

m is the slope = rise/run

b = y-intercept ie where the line crosses the y-axis at x = 0

The line crosses the y axis at y = 1 so the y-intercept is 1 and the point at which the line crosses is (0, 1)

We have the equation as

y = mx + 1

To find the slope, take any two points on the line. Find the corresponding difference in the y values and divide this difference by the corresponding difference in the x values

Two convenient points are (0, 1) and (3, 0)

Slope = [tex]\frac{0-1}{3-0} = -\frac{1}{3}[/tex]

Equation of the line :
[tex]y = -\frac{1}{3}x + 1[/tex]

To find out if the inequality in the shaded region is a ≥ or a ≤ inequality, take a point in the shaded region. Determine whether the chosen point x, y values satisfy which of the following equations

[tex]y\le -\frac{1}{3}x + 1[/tex]                 (1)

or

[tex]y\ge -\frac{1}{3}x + 1[/tex]                  (2)

The point (0,0) is inside the shaded region

Plug in these values into inequality (1)
[tex]0 = -\frac{1}{3}\cdot0 + 1[/tex] = 1

Is 0 ≤ 1 ?

Indeed it is so the inequality is
[tex]y\le -\frac{1}{3}x + 1[/tex]    (Answer)

The region on the opposite side of the line must be a ≥ inqeuality

The attached graph makes it clearer

6. Розв'яжіть систему рівнянь способом додавання
79
Відповідь:
3x + 4y = -1,
-3x + 7y = 23.
Відповідь:

Answers

Answer:

x= -85/33 ; y=2

Step-by-step explanation:

The simultaneous equation first when we add the y vale become 2, y=2 then to get x value the first equation multipled by -7 & the second equation by 4 the we will gate x=-85/33

(8x-9y=-13
(2x-3y = -7

Answers

Answer:

the answer is x=17,y=14/3

Answer:

x=4 y=5

Step-by-step explanation:

8x-9y=-13

2x-3y=-7

Solve for y:

Multiply the bottom by 4 to have the x's equal each other and cancel out:

8x-9y=-13

8x-12y=-28

Then subtract:

0x+3y=15

y=15/3 -> y=5

Solve for x:

Multiply the bottom by 3 to have the y's equal each other and cancel out:

8x-9y=-13

6x-9y=-21

Then subtract:

2x=8

x=4

Find the value of x.
51 m
h
48 m
51 m

Answers

Step-by-step explanation:

there is no "x" in the whole scenario.

you and your teacher mean "h" ?

this we get by using Pythagoras, because h, half of the baseline and one of the 51 m sides create a new right-angled triangle :

c² = a² + b²

c being the Hypotenuse (the side opposite of the 90° angle). a and b are the legs.

so, for that new inner triangle we have then

51² = h² + (48/2)² = h² + 24²

2601 = h² + 576

h² = 2025

h = 45 m

A soccer ball was kicked toward the goal. the horizontal component of velocity was 22 m/s and the vertical component was 12 m/s . what is the magnitude of the resultant velocity of the soccer ball?

Answers

The magnitude of the resultant velocity of the soccer ball is 25.06 m/s .

Let the horizontal component of velocity be [tex]V_{x}[/tex] and the vertical component  of velocity be [tex]V_{y}[/tex].

The magnitude of the resultant velocity will be represented by V.

So, we can write

The horizontal component of velocity = [tex]V_{x}[/tex] = 22 m/s

The vertical component  of velocity = [tex]V_{y}[/tex] = 12 m/s

The relation between horizontal component, vertical component and resultant velocity is,

[tex]V^{2} = V_{x} ^{2} + V_{y} ^{2}[/tex]

On substituting value of horizontal component and vertical component, we get

[tex]V^{2}[/tex] = [tex](22)^{2} + (12)^{2}[/tex]

[tex]V^{2}[/tex] = 484 + 144

[tex]V^{2}[/tex] = 628

V = [tex]\sqrt{628}[/tex]

V = 25.06 m/s

The magnitude of the resultant velocity of the soccer ball is 25.06 m/s .

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13 and 9 please help

Answers

Answer:

x>-4, x<=27.5

Step-by-step explanation:

First mark your digits on the number line. For question 9, it seems that x>-4, so mark that on your number line and draw an empty circle with an arrow pointing right.

For 13 multiply both sides by 5/4, and your answer is 27.5>=w. Mark it down with a filled in circle and an arrow going to the left.

What is the equation and the total amount? last one for this topic

Answers

Check out the attached photo

w=28t+600

908 liters

here you go :)

Simplify by combining like terms.
3x^2y^2 + 4xy - 2x^2y^2 - 6xy

Answers

Hello,

3x²y² + 4xy - 2x²y² - 6xy = x²y² -2xy

Large numbers are those numbers that have a bigger value than the numbers that we use in daily life. such numbers tend to create a sense of fear among children and they often skip solving problems that have large numbers in them. for example, 1 million, 1 billion, etc., are large numbers that are used either to show the population of a country or express large amounts of money in a bank account.

Answers

These periods are named as ones, thousands, lakhs, and so on. The one's period consists of the first three digits of the large number, starting from the right.

Everyone learns how to count numbers at a very young age starting from a single digit up to seven digits. This is done with the help of the place value system.

While writing large numbers, we always keep the place value system in mind to ensure that it is written correctly. According to the Indian place-value system, when a number is written in the standard form, each group of digits separated by a comma is called a period.

These periods are named as ones, thousands, lakhs, and so on. The one's period consists of the first three digits of the large number, starting from the right. The thousands period consists of the next two digits. The lakhs period consists of the next two digits and it continues.

Some other large numbers are read and written as follows:

1,000,000,000 = one billion

1,000,000,000,000 = one thousand billion

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Does the figure below appear to have line symmetry? If so, how many lines of symmetry?

Answers

Answer:

Yes

Step-by-step explanation:

Wouldn't there be 3? because lines of symmetry is basically two lines that look the same and are the same. so the points on the end counts as 2 since it's on opposite side, and the two lines in middle count as 1. So I am going with 3 symmetrical lines amount.

In Exercises 31−34, tell whether the data in the table can be modeled by a linear equation. Explain. If possible, write a linear equation that represents y as a function of x. Help with 34 ; please include a explanation. Thanks

Answers

The slope across the values of the table are not the same, therefore, the table cannot be modelled by a linear equation.

How to Determine a Linear Equation Table?

If a table can be represented by a linear equation, then the slope/rate of change between every two pairs of values on the table must be the same. If it's not, then it is not a linear equation that represents y as a function of x.

Slope/rate of change between (1, 18) and (2, 15):

Slope = 18 - 15/1 - 2

Slope =-3

Slope/rate of change between (2, 15) and (8, 9):

Slope = 15 - 9 / 2 - 8

Slope = 6/-6 =

Slope = -1

Therefore, the slope across the values of the table are not the same, therefore, the table cannot be modelled by a linear equation.

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let and let be a vector with length that starts at the origin and rotates in the -plane. find the maximum and minimum values of the length of the vector . in what direction does point?

Answers

The length of the vector u*v has a maximum value of 16 and a minimum value of 0, and it is moving in a positive z-direction.

What is the maximum and minimum values of the length of the vector? in what direction does point?

Generally, the equation for is  mathematically given as

Consider the following vector:

[tex]\begin{aligned}\mathbf{v} &=0 \mathbf{i}+4 \mathbf{j}+0 \mathbf{k} \\&=\langle 0,4,0\}\end{aligned}[/tex]

Let us assume that u is a vector that has a length of four, that begins at the origin, and rotates in the x-y plane.

This vector creates a circle with the origin serving as the circle's center and a radius of 4.

So, the coordinates of u can be taken as,

[tex]u=(x\pm \sqrt{4^2-x^2 ,0})[/tex]

Here, 0 [tex]\leq[/tex]x [tex]\leq[/tex] 4.

Now, the cross product of the two vectors u and v is,

[tex]\begin{array}{ccc}\mathbf{i} & \mathbf{j} & \mathbf{k} \\x & \pm \sqrt{4-x^2} & 0 \\0 & 4 & 0\end{array}[/tex]

[tex]&=\mathbf{i}(0-0)-\mathbf{j}(0-0)+\mathbf{k}(4 x-0) \\&=4 x \mathbf{k}\end{aligned}[/tex]

The length of the vector u* v is,

[tex]\begin{aligned}|\mathbf{u} \times \mathbf{v}| &=\sqrt{(4 x)^2} \\&=4 x\end{aligned}[/tex]

Here, 0 <=x <= 4.

If x=4, then u*v is,

[tex]\begin{aligned}\mathbf{u} \times \mathbf{v}| &=4 \times 4 \\&=16 \\|\mathbf{u} \times \mathbf{v}| &=4 \times 0 \\&=0\end{aligned}[/tex]

In conclusion, As a result, the length of the vector u*v has a maximum value of 16 and a minimum value of 0, and it is moving in a positive z-direction.

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CQ

Let v = 4j and let u be a vector with length 4 that starts at the origin and rotates in the xy-plane. Find the maximum and minimum values of the length of the vector u

converse of if a triangle has either two equal sides or two equal angles, then it is an isosceles triangle

Answers

It is an isosceles triangle if a triangle has either two equal sides or two equal angles,

What is converse of a statement?

The converse of a statement is formed by switching the hypothesis and the conclusion.

Given the statement 'if a triangle has either two equal sides or two equal angles, then it is an isosceles triangle'

Hypothesis - if a triangle has either two equal sides or two equal angles, Conclusion - then it is an isosceles triangle

The converse will be created by switching the hypothesis with conclusion and vice versa to have ' It is an isosceles triangle if a triangle has either two equal sides or two equal angles,

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What are the possible values of x for the following functions?

f(x)=2-x/x(x-1)

Answers

Answer:

fx 2

gy

jjhuffff

vct5

yguutfufyhdyts, us f Rd dgidtetdigdeieot

Which is the angle measured in a horizontal circle around your horizon? ecliptic equator azimuth right ascension

Answers

Azimuth is the angle measured in a horizontal circle around your horizon.

In this question,

The horizon angle is the maximum upwind slope in wind exposure / sheltering studies.

A line from the center of the Earth which continues through the observer's body and the top of the observer's head. This line is zenith.

Azimuth is the coordinate direction that runs parallel to the horizon and rotates clockwise from north (0 degrees) to east (90 degrees) to south (180 degrees) to west (270 degrees) back to north (360 degrees).

The meridian is an imaginary North-South line running through the zenith.

Therefore, Azimuth is the angle measured in a horizontal circle around your horizon.

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Multiply numbers with decimals
2.34 x 1.6

Answers

Answer:

3.744

Step-by-step explanation:

2.34

* 1.6

-------

1404

+

234

---------

3.744

pls help marking brainliest pic attached

Answers

Answer:

4

Step-by-step explanation:

16x4=64

Answer:

4 chapters

Step-by-step explanation:

If Raj can read 1 chapter in 16 minutes you need to figure out how many times 16 goes into 64. Divide 64 by 16 and you get 4. Which means Raj can read 4 chapters in 64 minutes.

Name a Linear Pair.

Answers

Answer:

MSN < LSO

Step-by-step explanation:

Identical Shapes which makes them linear pairs because they pair with each other.

Thanks Please Mark Brainliest, (Trying to rank to genius)

Msn< Lso cause they match

5=5/ax+1
Help?? I need to find the value of x. I don’t have the value of a

Answers

The value of a is zero from the given expression

Subject of formula

Subject of formula is a way of representing a variable with another variable.

Given the expression below;

5=5/ax+1

We are to make x the subject of the formula

1 =1/ax+1

Cross multiply

ax+1 = 1

ax =  1-1

ax = 0

Find the value of a

a = 0/x

a = 0

Hence the value of a is zero from the given expression

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a radioactive substance decays exponentially. a scientist begins with 180 milligrams of a radioactive substance. after 33 hours, 90 mg of the substance remains. how many milligrams will remain after 43 hours?

Answers

The required weight after 43  hours is 72. 96mg

How to determine the value

From the information given, we have that;

A Scientist begins with 180 milligrams of a radioactive substance

Let us take Po = 180 milligrams

Using the expression;

[tex]P(t) = Poe^k^t[/tex]

Substituting the values of t = 33, P = 90mg and Po = 180

90 = 180e^33t

[tex]e^3^3^t = \frac{1}{2}[/tex]

Take the log of both sides

[tex]33ln(e^k) = ln (\frac{1}{2} )[/tex]

[tex]k = -\frac{ln 2}{33}[/tex]

k = - 0. 0210

The equation becomes: P(t) = 150e^-0.0210

Substitute t as 43

[tex]P(43) = 180e^-^0^.^0^2^1^0 ^*^4^3[/tex]

P(43) = 72. 96 mg

Hence,  72. 96 mg will remain after 43 hours.

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