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Troyanec [42]
3 years ago
9

Simplify the expression enter answer in box (4x^3/16x^5)^1/2 = ?

Mathematics
2 answers:
vladimir1956 [14]3 years ago
4 0
<span>(4x^3/16x^5)^1/2 
= ((4/16) * x^(3-5))^1/2 
= ((1/4) * x^-2 ) ^1/2 
= 1/ 2x</span>
Yanka [14]3 years ago
4 0
This is just a joke so dont be triggered but...


[__________]
[ answer. ]
[__________]
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Help me!!!
adoni [48]
The answer is B: -2x -3

5 0
3 years ago
A specific laptop loses half of its value every six months. If the original cost was $1000 and the value of the laptop is now $6
mafiozo [28]

Answer:

Sigh no body wants to answer this one, so I'll just take my points back

4 0
3 years ago
The sum of squares of three consecutive numbers is 77 find the numbers​
ollegr [7]

Answer:

4,5,6 are the three consecutive numbers. 16, 25 and 36 are their squares.

Step-by-step explanation:

Let the three consecutive numbers be x, (x+1), (x+2)

Now, the squares of these three numbers are  x^{2} ,(x+1)^{2} ,(x+2)^{2}

Sum = 77

∴by the problem ,

x^{2} +(x+1)^{2}+(x+2)^{2}  = 77\\x^{2} +(x^{2} +2x+1)+(x^{2}+4x +4) = 77\\x^{2} +x^{2} +2x+1+x^{2} +4x +4 = 77\\3x^{2} +6x+5 = 77\\3x^{2} +6x = 77-5\\3x^{2} + 6x = 72\\3x^{2} +6x-72= 0\\

{Taking 3 common }

x^{2} +2x- 24 = 0\\

{By factorization}

x^{2} +2x- 24 =0\\ x^{2} +6x-4x-24=0\\x(x+6)-4(x+6)=0\\(x+6)(x-4)=0\\

Therfore,

x= -6,4\\

<em>X can't be negetive </em>

∴ x =4\\x+1=5\\x+2=6

The squares of the three consecutive numbers are 16, 25, 36

The three consecutive numbers whose sum is 77 are 4, 5, 6

3 0
4 years ago
A rocket is shot straight into the air at an initial velocity of 70 feet/second.
DanielleElmas [232]

Answer: 245 feet

Step-by-step explanation:

Given: The height of the rocket after t seconds is represented by the formula:

h=70t-5t^2

\dfrac{dh}{dt}=70-10t  [Differentiate both sides w.r.t. t]

Put

\dfrac{dh}{dt}=0\\\\\Rightarrow\ 70-10t=0\\\\\Rightarrow\ t=\dfrac{70}{10}=7

Also, \dfrac{d^2h}{dt^2}=-10 i.e. height is maximum at t=7.

Maximum height = h=70(7)-5(7)^2 = 490 - 245= 245\text{ feet}

Hence, the maximum height the rocket reaches = 245 feet.

3 0
3 years ago
What is the length of side a? Round to the nearest tenth of an inch. Enter your answer in the box.
Wittaler [7]

9514 1404 393

Answer:

  14.4

Step-by-step explanation:

The Pythagorean theorem tells you ...

  7² +a² = 16²

  a² = 256 -49

  a = √207

  a ≈ 14.4

5 0
3 years ago
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