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Umnica [9.8K]
2 years ago
11

Is y=2x^3 an even or odd function or neither

Mathematics
1 answer:
WINSTONCH [101]2 years ago
5 0

Answer:

Odd

Step-by-step explanation:

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What is number 61 and a step by step explaination please?
astra-53 [7]

1/3 ln(<em>x</em>) + ln(2) - ln(3) = 3

Recall that m\log_b(n)=\log_b(n^m), so

ln(<em>x</em> ¹ʹ³) + ln(2) - ln(3) = 3

Condense the left side by using sum and difference properties of logarithms:

\log_b(m)+\log_b(n)=\log_b(mn)

\log_b(m)-\log_b(n)=\log_b\left(\dfrac mn\right)

Then

ln(2/3 <em>x</em> ¹ʹ³) = 3

Take the exponential of both sides; that is, write both sides as powers of the constant <em>e</em>. (I'm using exp(<em>x</em>) = <em>e</em> ˣ so I can write it all in one line.)

exp(ln(2/3 <em>x</em> ¹ʹ³)) = exp(3)

Now exp(ln(<em>x</em>)) = <em>x </em>for all <em>x</em>, so this simplifies to

2/3 <em>x</em> ¹ʹ³ = exp(3)

Now solve for <em>x</em>. Multiply both sides by 3/2 :

3/2 × 2/3 <em>x</em> ¹ʹ³ = 3/2 exp(3)

<em>x</em> ¹ʹ³ = 3/2 exp(3)

Raise both sides to the power of 3:

(<em>x</em> ¹ʹ³)³ = (3/2 exp(3))³

<em>x</em> = 3³/2³ exp(3×3)

<em>x</em> = 27/8 exp(9)

which is the same as

<em>x</em> = 27/8 <em>e</em> ⁹

3 0
3 years ago
Lisa is 6 centimeters taller than her friend Ian. Ian is 10 centimeters taller than Jim. Every month, their heights increase by
Temka [501]

Lan is 146 centimeters tall now.

<u><em>Explanation</em></u>

Let, Lan's current height is h centimeters

As Lisa is 6 centimeters taller than Lan and Lan is 10 centimeters taller than Jim, so Lisa's current height = (h+6) centimeters and Jim's current height = (h-10) centimeters.

Every month, their heights increase by 2 centimeters.

So, after 5 months.....

Lan's height = h+(2*5)=(h+10) centimeters,

Lisa's height = (h+6)+(2*5)= (h+16) centimeters and

Jim's height = (h-10)+(2*5)= h centimeters

Given that, the sum of Ian's and Jim's heights will be 140 centimeters more than Lisa's height in 5 months. So the equation will be....

(h+10)+h= (h+16)+140\\ \\ 2h+10=h+156\\ \\ 2h-h=156-10\\ \\ h=146

So, the current height of Lan is 146 centimeters.

7 0
2 years ago
Law of sines: How many distinct triangles can be formed for which m∠A = 75°, a = 2, and b = 3? No triangles can be formed. One t
Vinvika [58]

We have been given angle A as 75 degrees and sides a = 2 and b = 3.

Using Sine rule, we can set up:

\frac{Sin(A)}{a}=\frac{Sin(B)}{b}

Upon substituting the given values of angle A, and sides a and b, we get:

\frac{Sin(75)}{2}=\frac{Sin(B)}{3}

Upon solving this equation for B, we get:

\Rightarrow 3Sin(75)=2Sin(B)\\  \Rightarrow Sin(B)=\frac{3Sin(75)}{2}\\  \Rightarrow Sin(B)=1.4488\\

Since we know that value of Sine cannot be more than 1. Hence there are no values possible for B.

Hence, the triangle is not possible. Therefore, first choice is correct.

7 0
2 years ago
Read 2 more answers
The librarian purchased 22 copies of a best-selling book for $385.66.
adell [148]

Answer:

$17.53

Step-by-step explanation:

You know the total price of 22 copies was $365.66. To find the price of one copy, you divide 365.66 by 22 to get $17.53 per copy.

7 0
3 years ago
A flower bed is in the shape of a triangle with one side twice the length of the shortest side and the third side is 18 feet mor
Aleksandr [31]

Answer:

42 ft, 60 ft, 84 ft

Step-by-step explanation:

let x be the shortest side , then the other 2 sides are 2x and x + 18, so

x + 2x + x + 18 = 186 , that is

4x + 18 = 186 ( subtract 18 from both sides )

4x = 168 ( divide both sides by 4 )

x = 42

Then lengths of sides are

x = 42 ft

2x = 2 × 42 = 84 ft

x + 18 = 42 + 18 = 60 ft

8 0
2 years ago
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