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3 years ago

(x^2+5)^1/2+(x^2+5)^3/2

2 answers:

4 0

$\sqrt{ x^{2} +5} + \sqrt{ ( x^{2} +5)^{3} } = (\sqrt{ x^{2} +5})(1+ \sqrt{ ( x^{2} +5)^{2} } ) \\ =(\sqrt{ x^{2} +5})(1+ x^{2} +5 )=(\sqrt{ x^{2} +5})(x^{2}+6)$

Slav-nsk [51]3 years ago

3 0

(x²+5)½ + (x²+5)³/²

->(x+√5) +(x³+√125)
->(x+√5)+(x³+5√5)
->x+x³+√5+5√5
->2x³+6√5
->2(x³+3√5)

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The diagonals of this rhombus are 8 and 16 units long. Their intersection creates four right angles, two 4-unit-long segments, a

Roman55 [17]

Answer:

$64\ \text{sq. units}$

Step-by-step explanation:

Area of a rhombus is the product of the length of the diagonals divided by two.

Length of one diagonal is 8 units and the other diagonal is 16 units

Area is given by

$A=\dfrac{8\times 16}{2}\\\Rightarrow A=64\ \text{sq. units}$

The area of the rhombus is $64\ \text{sq. units}$

Another approach is the diagonals have created 4 triangles where the base and is height is either 4 units long or 8 units long so the area of the rhombus would be the area of the 4 triangles.

$A=4\times \dfrac{1}{2}\times 4\times 8\\\Rightarrow A=64\ \text{sq. units}$

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2 years ago

A vehicle purchased for $ 27500 depreciates at a constant rate of 4 % . Determine the approximate value of the vehicle 12 years

Anna35 [415]

Answer:

$13,200

Step-by-step explanation:

Multiply the original cost by .04 and 12 years

(original cost)(rate in decimal form)(time)

6 0

3 years ago

Peter plans to build a tree house in his back yard. He needs to know how many square feet of lumber he should buy for the floor.

11Alexandr11 [23.1K]

Answer:

20n

Step-by-step explanation:

Multiply square feet per person times the number of persons to find square feet.

The units analysis looks like this:

$\dfrac{\text{ft}^2}{\text{person}}\times \text{persons}=\text{ft}^2\\\\20\dfrac{\text{ft}^2}{\text{person}}\times n\,\text{persons}=20n\,\text{ft}^2$

4 0

2 years ago

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a(t) = (t - k)(t - 3)(t - 6)(t + 3) is a polynomial function of t, where k is a constant. Given that a(2) = 0, what is the absol

koban [17]

If a(2) = 0, then k=2. The product of the zeros is
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The absolute value of the product of zeros of a(t) is 108.

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2 years ago

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Unit rate How many cents would you earn per minute? Show work ASAP

Yanka [14]

So, it depends. Imma give you two answers, all of which are the same at the end. They just have different ways to do it.

1. So, it's $9 per hour, or $9 per 60 min 
You can write a ratio: 9/60 = n/1 
In this case you have to divide 9 by 60 cause
60/60 = 1 
And n=0.15 
Answer: you earn 15 cents per min.

2.$9 = 900 cents 
900 cents divided by 60 minutes = 15 cents in a minute.

Hope this helps love!! :)

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3 years ago

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