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Answer:

x^2 -6x + 9

Step-by-step explanation:

(x-3) (x-3) = x^2 - 6x + 9

Natural numbers are those that can be counted and ordered. The two consecutive whole numbers between which √37 lies are 6 and 7.

Natural numbers are those that can be counted and ordered. Cardinal numbers are those used for counting, while ordinal numbers are those used for ranking.

The value of √37 is equal to 6.0827 units. Therefore, the two consecutive whole numbers between which √37 lies are 6 and 7.

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Answer:

504 combos

Step-by-step explanation:

Cannot use digits twice and last is '7'

 9 digits for first place choice  

     8 digits for second place

         7 digits for third place

               only  '7' for fourth place       9 x 8 x7 = 504 combos

You can use the rule of product from combinatorics to find out how many ways can the remaining digits be chosen.

The remaining digits for the given condition can be chosen in 504.

Option B: 504

If a work A can be done in p ways, and another work B can be done in q ways, then both A and B can be done in   ways.

Remember that this count doesn't differentiate between order of doing A first or B first then doing other work after the first work.

Thus, doing A then B is considered same as doing B then A

Since 7 is already fixed and there is constraint that no two digits can be used, thus, we initially have only 10-1 = 9 digits.

For first place, we can chose 1 digit out of 9 digits in ways,

⁹C₁ = 9 ways

For second place, as one of the digit is used, thus, 1 digit out of 8 digits can be chosen in ways,

⁸C₁ = 8 ways

For third place, as two of the digits is used, only 7 digits are remaining to chose from. Thus, 1 digit out of 7 remaining digits can be chosen in ways.

⁷C₁ = 7 ways

Using product rule, we get:

Total possible number of choices for choosing digits for first, second and third position of lock with given constraints is given as

= 9 x 8 x 7

= 504 ways

Thus, The remaining digits for the given condition can be chosen in,

Option B: 504

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Step-by-step explanation:

k has to be replaced by k+1.

so,

4 / ((k+1)(k+1 + 3)) = 4 / ((k+1)(k+4))

I am not sure how far your teacher expects you to go with this.

just in case, I will do also the full multiplications

4 / ((k+1)(k+4)) = 4 / (k² + 4k + k + 4) = 4 / (k² + 5k + 4)

and if you need the factor to go from Pk to Pk+1 :

Pk+1 / Pk = (4/((k+1)(k+4))) / (4/(k(k+3)) =

= (4/((k+1)(k+4))) × (k(k+3))/4 =

= (k(k+3)) / ((k+1)(k+4))

Answer:

7

Step-by-step explanation:

Substitute 2 into x

g(2)= 3(2)+1

     = (3x2)+1

     = 6+1

     = 7

Answer:

A is the answer

Step-by-step explanation:

3×5+6=15+6=21

Answer:

you have to make a fraction into a whole number.

Step-by-step explanation:

Answer:

positive correlation

Step-by-step explanation:

As the temperature increases, the ice cream sales will increase.

Since both x and y are increasing, this is a positive correlation.

[tex]\left( \sqrt 3 + \sqrt 7\right) \left( \sqrt 3 - \sqrt 7\right)\\\\=\left(\sqrt 3 \right)^2 - \left(\sqrt 7 \right)^2\\ \\=3-7\\\\=-4[/tex]

Answer:

- 4

Step-by-step explanation:

([tex]\sqrt{3}[/tex] + [tex]\sqrt{7}[/tex] )([tex]\sqrt{3}[/tex] - [tex]\sqrt{7}[/tex] )

each term in the second factor is multiplied by each term in the first factor.

[tex]\sqrt{3}[/tex] ([tex]\sqrt{3}[/tex] - [tex]\sqrt{7}[/tex] ) + [tex]\sqrt{7}[/tex] ([tex]\sqrt{3}[/tex] - [tex]\sqrt{7}[/tex] ) ← distribute parenthesis

= 3 - [tex]\sqrt{21}[/tex] + [tex]\sqrt{21}[/tex] - 7 ← collect like terms

= - 4

Answer: y  - 6x +46

Step-by-step explanation:

y + 4- 6(x +7)

y + 4 - 6x +42

y  - 6x +46

Veremos que de los 20 intentos, Mariana metio 16 canastas.

Sabemos que ella tiro 20 veces, y sabemos que ella ha errado 1/5 de los tiros.

Entonces los otros 4/5 tiros entraron. Para obtener el numero de canastas que ha metido, debemos multiplicar la fracción por la cantidad total de tiros al aro:

C = 20*(4/5) = 16

Así, podemos concluir que Mariana ha metido 16 canastas.

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Answer:

Step-by-step explanation:

the total cost for this question is $12.10.

let me know if this helped.

Answer:

I am not too sure so I deeply apologize for any wrongs, but this is my thinking.

Joe bought each taco for 4 dollars, and bought an asada fry for 50 cents.

On the other hand-

Sam also bought 1 taco for 12 dollars, and bought 2 asada fries, one of them was 1 dollar, and one of them was 75 cents.

Answer:

25/72

Step-by-step explanation:

Total outcomes :

P (red twice) :

P (blue twice) :

P (green twice) :

Adding :

Answer:

9.73  cm to 2 DP

Step-by-step explanation:

Total of the  lengths involved = 7*9.4 +  5*10.2

= 116.8 cm

So the mean of the 12 fingers

= 116.8/12

= 9.73  cm to 2 DP.

Answer:

A

Step-by-step explanation:

The formula for a rectangular prism is length*width*height. Thus, the equation would be 6*4*16, which equals 384 cm^3.

Answer:

  f(3) = 84

Step-by-step explanation:

To evaluate a function for a specific value of the variable, put the value in the function's expression where the variable is, and do the arithmetic.

__

Sometimes it works well to simplify the expression a bit.

  f(x) = 16x^2 -20x = 4x(4x -5)

  f(3) = 4(3)(4(3) -5)) = (12)(7)

  f(3) = 84

Answer:  0.000039

Step-by-step explanation: i us calculator

Answer:

0.000039.

Step-by-step explanation:

3.9 / 100,000

Move the decimal point 5 places to the left ( as there are 5 0's in 100,000)

filling in the zeroes as you move alomg.

So its  0.000039

Answer:

Pick up point  is 1.43 km from the school and drop point is 3.57 km from the school  ( to the nearest hundredth).

Step-by-step explanation:

School <----------- 5 km ---------------> Home

_______ P _______ D _______        

      x  km          y km        5-x-y km

                     _______

                           y      

                     _________________

                                  5-x km

D is the point where Peter drops off N and P is the pick point x km from the school  where  Peter picks up R. He travels back y km to pick up R.

We work in times:

Time = distance / speed

The time that  R walks from the school to point P is the same  as Peter travels the distance  (x + 2y) km, so we have

x/5 =  (x + 2y)/20

20x = 5x + 10y

15x - 10y = 0     A

The time that N walks home equals the time that Peter travels y + 5 - x km.

So (y + 5 - x)/20 = (5 - x - y)/5

5y + 25 - 5x = 100 - 20x - 20y

15x  + 25y = 75

3x + 5y = 15   B

Solving equation A and B

15x - 10y = 0

3x + 5y = 15

Multiply the second equation by 2:

6x + 10y = 30

Adding this to the first equation

21x = 30

x = 30/21 = 1.4285

So  3(1.4285) + 5y = 15

y = 2.1428

Pick up x  = 1.43 km

and the drop is 1.43 + 2.14 = 3,57 km from the school

Answer:

This is correct because linear equations have to be in slope-int form

Step-by-step explanation:

Step-by-step explanation:

to add 8% the simplest operation is to multiply the basic amount by 1.08.

so,

£9.45 = original price × 1.08

original price = £9.45/1.08 = £8.75

the price before the increase was £8.75.

Answer:

2√97

Step-by-step explanation:

BD² = BC² + DC²

⇒ BD = √BC² + DC²

= √(18)² + (8)²

= √324 + 64

= √388

Rewrite 388 as 2² · 97.

Factor 4 out of 388.

√4(97)

Rewrite 4 as 2².

√2² · 97

Pull terms out from under the radical.

2√97

The result can be shown in multiple forms.

Exact Form:

2√97

Decimal Form:

19.69771560...

Answer:

10.16

Step-by-step explanation:

average change =  9.16 - 4.35 / 2020 - 1996  = 0.2

Cost = 9.16 + (2025 -2020) x 0.2 = 10.16

So the answer is $10.16

The tables that can be used to show that the functions that made them are inverses of each other are the tables attached.

When functions are inverses of each other, they will give inverted x and y values.

This means that the value of x for one function, will be the value of y for the other function.

The tables that have inverse functions will therefore have a table where x values of:

627, 227, 27, 2, and 27 which will be y values in the other table.

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Answer:

— Work in pizza slices, assuming a dozen per pizza. If I buy 36 slices, and eat 5 slices, and Joe eats 15 slices, there should be 36 - 5 - 15 = 16 slices left.

Step-by-step explanation:

The quotient of  (x⁴ - 3x² + 4x - 3) and (x² + x - 3)  is x² - x + 1

The quotient expression is given as:

(x⁴ - 3x² + 4x - 3) ÷ (x² + x - 3)

Factor the dividend of the quotient expression

(x² + x - 3)(x² - x + 1)  ÷ (x² + x - 3)

Cancel out the common factors

x² - x + 1

The above means that:

The quotient of  (x⁴ - 3x² + 4x - 3) and (x² + x - 3)  is x² - x + 1

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Answer:

Step-by-step explanation:

from the figure and the values ​​we understand that it is an isosceles right triangle, therefore with the two sides and the 2 angles are congruent,

so x = 25

5/6 girls have either blue or brown eyes. Since 2/9=4/18

And 11/18 + 4/18 = 15/18

You can simplify 15/18 to 5/6

The inequality that represents this situation is x ≤ 6. On the other hand, the parents can ship only the tennis rackets.

The equality that represents this situation is x ≤ 6 because the number of pounds that can be added (x) has to be 6 or less than 6.

The parents can only ship the tennis rackets because these are 5 pounds which meets the criteria of the inequality.

The inequality would change to x ≤ 1 because the weight that could be added if he needs these producs changes to only 1 pound.

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