All categories

3 years ago

Plz help 100 points if you can help me please don't give me the wrong answer

Mathematics

1 answer:

marusya05 [52]3 years ago

3 0

Answer: i believe the answer is d

Step-by-step explanation: sorry if it's wrong but I really think it is d because it says product which is division and d is division please let me know if I was correct or not. thx

You might be interested in

1.) Find the length of the arc of the graph x^4 = y^6 from x = 1 to x = 8.

xxTIMURxx [149]

First, rewrite the equation so that y is a function of x :

$x^4 = y^6 \implies \left(x^4\right)^{1/6} = \left(y^6\right)^{1/6} \implies x^{4/6} = y^{6/6} \implies y = x^{2/3}$

(If you were to plot the actual curve, you would have both $y=x^{2/3}$ and $y=-x^{2/3}$ , but one curve is a reflection of the other, so the arc length for 1 ≤ x ≤ 8 would be the same on both curves. It doesn't matter which "half-curve" you choose to work with.)

The arc length is then given by the definite integral,

$\displaystyle \int_1^8 \sqrt{1 + \left(\frac{\mathrm dy}{\mathrm dx}\right)^2}\,\mathrm dx$

We have

$y = x^{2/3} \implies \dfrac{\mathrm dy}{\mathrm dx} = \dfrac23x^{-1/3} \implies \left(\dfrac{\mathrm dy}{\mathrm dx}\right)^2 = \dfrac49x^{-2/3}$

Then in the integral,

$\displaystyle \int_1^8 \sqrt{1 + \frac49x^{-2/3}}\,\mathrm dx = \int_1^8 \sqrt{\frac49x^{-2/3}}\sqrt{\frac94x^{2/3}+1}\,\mathrm dx = \int_1^8 \frac23x^{-1/3} \sqrt{\frac94x^{2/3}+1}\,\mathrm dx$

Substitute

$u = \dfrac94x^{2/3}+1 \text{ and } \mathrm du = \dfrac{18}{12}x^{-1/3}\,\mathrm dx = \dfrac32x^{-1/3}\,\mathrm dx$

This transforms the integral to

$\displaystyle \frac49 \int_{13/4}^{10} \sqrt{u}\,\mathrm du$

and computing it is trivial:

$\displaystyle \frac49 \int_{13/4}^{10} u^{1/2} \,\mathrm du = \frac49\cdot\frac23 u^{3/2}\bigg|_{13/4}^{10} = \frac8{27} \left(10^{3/2} - \left(\frac{13}4\right)^{3/2}\right)$

We can simplify this further to

$\displaystyle \frac8{27} \left(10\sqrt{10} - \frac{13\sqrt{13}}8\right) = \boxed{\frac{80\sqrt{10}-13\sqrt{13}}{27}}$

7 0

3 years ago

X +3> -8 Can you help please also you need to see what it’s greater then or less than too.

Natalija [7]

Answer:

x > -11

Step-by-step explanation:

Step 1: Write inequality

x + 3 > -8

Step 2: Solve for x

Subtract 3 on both sides: x > -11

Here, the inequality is saying that any number greater than -11 will work as a solution.

8 0

3 years ago

Can someone help me with the attached file, please? Order what is in the file from least-to-greatest, with explanations, please.

77julia77 [94]

I would start by converting everything into decimal, as it makes it a LOT easier to understand. So, you should be able use a calculator to convert the square roots and fractions into decimal. Let's start. Square root 12 is equivalent to 3.46 (to 2 decimal places) Square root 9 is 3 (you should know that because 3 × 3 = 9) 12 is already in decimal so it's just 12 3.56, 4.03 and 4.2 are also in decimal so you leave them Square root 17 is 4.12 (to 2 decimal places) Square root 2 is 1.41 (also 2 decimal places) 1/2 is the same as 0.5 (once again, you should know that) And 3/2 is the same as 3 ÷ 2, which is 1.5. So in order of least to greatest, it's: 1/2, square root of 2, 3/2, square root of 9, square root of 12, 3.56, 4.03, square root of 17. 4.2 and finally 12. Hope this helps :)

3 0

3 years ago

Read 2 more answers

It costs $100 to be a member of a music club. A member of the club pays $20 per music lesson. A nonmember pay $30 per music less

irina [24]

Let x be amount of music lessons
Member ＝ 100 + 20x
Non member ＝ 30x
Must be same, so 100 + 20x ＝ 30x
Solve for x:
Group like terms.
100 ＝ 30x － 20x
100 ＝ 10x
100/10 ＝ x
x＝10
10 music lessons for member and non member to have same costs of $300.
Im not very good at maths. But this seems easy :D. I'm still a beginner, but please give me points.

8 0

3 years ago

Plzzz help me with this

tatyana61 [14]

Answer:

30 for the next one

Step-by-step explanation:

muiltply hour by bracelets per hour

3 0

3 years ago

Read 2 more answers