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jeka57 [31]
2 years ago
13

Evaluate the given expression and express the result using the usual format for writing numbers​ (instead of scientific​ notatio

n). 29 Upper C 329C3 29 Upper C 329C3equals=nothing

Mathematics
1 answer:
andrey2020 [161]2 years ago
3 0

Answer:

29C3 = 3654

Step-by-step explanation:

What is applied here is combination that n - combination of r which is a subscript and the n - is a superscript.

  • nCr = nPr/r!
  • where nPr = n!/(n-r)!
  • nCr = n!/(n-r)! r!
  • And we are told to find 29C3, apply the formula and your results will be out.

Attached is the detailed explanation.

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Within 11 years, the age of Peter will be half the square of the age he was 13 years ago. Calculate the current age of Peter. Re
OLga [1]

Answer:

21

ctto JBarnum

Step-by-step explanation:

P+11=(1/2)(P-13)^2

P+11=(1/2)(P^2-26p+169)

2(P+11)=(1/2)(2)(P^2-26p+169)

2P+22=P^2-26p+169

0=P^2-28p+147      ( -7 and -21)

(P-7)(P-21)=0

P=7,21                     (cant be 7 as 13 years from 7 is negative so peter is 21)

checking:

21+11=32

32=(1/2)(21-13)^2

32=(1/2)(8)^2

32=(1/2)64

32=32

correct

4 0
3 years ago
A paddleboard rental company charges $5 to borrow a lifejacket and $10 per hour. Write an equation in slope-intercept form that
a_sh-v [17]

Answer:

y=10x+5

Step-by-step explanation:

3 0
2 years ago
What is the value of x?
monitta
The ans is choice D. since there nothing under 5x, imagine there is a 1 under. After that, you can simply cross multiply, so it would be 1(6+8x)= 2(5x). 6+8x= 10x now combine like terms so subtract 8x from both sides and divide 6 by 2 and you will get 3 
8 0
3 years ago
Read 2 more answers
Consider the equation below.
Eduardwww [97]

Answer:

The equation has no solutions .

Step-by-step explanation:

Given as :

<u>The linear equation is </u>

\dfrac{3}{4}(24 -16 x) = \dfrac{-2}{3}(18 x -27)

Or, \dfrac{3}{4} ×24 - \dfrac{3}{4} × 16 x =  \dfrac{-2}{3} × 18 x -  \dfrac{-2}{3} × 27

Or,  \dfrac{3}{4} ×24 - \dfrac{3}{4} × 16 x =  \dfrac{-2}{3} × 18 x + \dfrac{2}{3} × 27

Or, \frac{3\times 24}{4} -  \frac{3\times 16 x}{4} =  \frac{-2\times 18 x}{3} + \frac{2\times 27 x}{3}

Or, 3 × 6 - 3 × 4 x = - 2 × 6 x + 2 × 9

Or, 18 - 12 x = - 12 x + 18

Or, 18 - 18 = - 12 x + 12 x

or, 0 = 0

∵ The linear equation has no variables , so the equation has no solution

Hence,The equation has no solutions . Answer

8 0
2 years ago
THIS IS CHALLENGING. THIS WILL DEFINITELY PROVE THAT YOU ARE SMART!!
Greeley [361]

y = 2x + 13


Positive value:

2x + 13 > 0

2x > -13

x > -6.5


Negative value

2x + 13 < 0

2x < -13

x < -6.5

5 0
2 years ago
Read 2 more answers
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