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zvonat [6]
3 years ago
13

3. Simplify the square root. -{144}

Mathematics
1 answer:
lubasha [3.4K]3 years ago
7 0

Answer:

12

Step-by-step explanation:

The number 144 can be factorized as = 2*2*2*2*3*3= (4^2)* (3^2)

Therefore, sqrt(144)= sqrt((4^2)* (3^2))= sqrt{(4*3)^2= sqrt{12^2}=12

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10pi

9.92749....

square root of 101

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3 years ago
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Please help! How on earth do I do this? In the year 2015, Anna bought a new car for $36,000. In 2017, she was told that the valu
Klio2033 [76]

Part A

Purchase Value of Anna's Car in 2015 = $36,000

Depreciated Value of Anna's Car in 2017 = $25,000

We know that the value of the car is depreciating linearly.


From the above data, we can see that the value of the car has reduced by $36,000-$25,000 = $11,000 over 2 years.

⇒ Per year the value has been depreciated by \frac{11000}{2}

⇒ Per year the value has been depreciated by $5,500

So if the value of a car in 2015 is V₀ then value of the car after t years can be determined by the below function:

V (t) = V₀ - (t*5,500), where t indicates the years passed since 2015

OR V (t) = 36,000 - (t*5,500), where t indicates the years passed since 2015

Part B

Suggested value of Anna's car for trade in option in 2018 = $15,000

In 2018, 3 years would have been passed since 2015. Using the value of t = 3 in the function determined in Part A:

V(3) = V₀ - (3*5,500)

⇒ V(3) = 36,000 - (16,500)

⇒ V(3) = $19,000

From the above calculations, we can see that the value of the car in 2018 should be $19,000, however the suggested value for trade in is indicated as $15,000 which is lower than what the value of the car should be. Hence, basis linear depreciation, the $15,000 value is not fair for the car in 2018.

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3 years ago
Three is added to a number and then the sum is multiplied by for the result is 16 find the number
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3 + 1= 4, 4 X 4= 16, so its 4 for the number
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If √6 is the geometric mean between 6 and another number, then the number is 1 2 6
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The geometric mean of two numbers is the square root of the product of the numbers.
x - the other number

\sqrt{6x}=\sqrt{6} \\
(\sqrt{6x})^2=(\sqrt{6})^2 \\
6x=6 \\
x=\frac{6}{6} \\
x=1

The other number is 1.
3 0
3 years ago
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Find the ordered triple to represent u in u=3v-2/3w +2z if v=(4,-3,5) w=(2,6,-1) and z=(3,0,4)
marissa [1.9K]

Answer:

u=(14/3  ,-13,23/3)

Step-by-step explanation:

Given

u=3v-2/3 w+2z

And

v=(4,-3,5)

w=(2,6,-1)

z=(3,0,4)

Putting the values of v,w and z

u=3(4,-3,5)-2/3 (2,6,-1)+2(3,0,4)

u=(12,-9,15)-(4/3,12/3,-2/3)+(6,0,8)

=(12,-9,15)-(4/3,4,-2/3)+(6,0,8)

We will perform the addition first..

=(12,-9,15)-(4/3+6 ,4+0,-2/3+8)

= (12,-9,15)-(22/3,4,22/3)

Subtraction will give us:

=(12-22/3  ,-9-4 ,15-22/3)

=(14/3  ,-13,23/3)

8 0
3 years ago
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