Select the correct answer. Which expression simplifies to 8x5?

Mathematics

1 answer:

Ad libitum [116K]3 years ago

8 0

Answer:

Step-by-step explanation:

as 8 square=64 and going to power x10/2=x5

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Carol conducted a survey of four school cafeterias to find the number of students who like tacos for lunch. The results of her s

liq [111]

School A : 12/45 = 0.266 = 26.6%
school B : 15/40 = 0.375 = 37.5%
school C : 9/27 = 0.333 = 33.3%
school D : 13/32 = 0.406 = 40.6%

so ur answer is school D

8 0

4 years ago

Read 2 more answers

Help with 30 please. thanks.

Svet_ta [14]

Answer:

See Below.

Step-by-step explanation:

We have the equation:

$\displaystyle y = \left(3e^{2x}-4x+1\right)^{{}^1\! / \! {}_2}$

And we want to show that:

$\displaystyle y \frac{d^2y }{dx^2} + \left(\frac{dy}{dx}\right) ^2 = 6e^{2x}$

Instead of differentiating directly, we can first square both sides:

$\displaystyle y^2 = 3e^{2x} -4x + 1$

We can find the first derivative through implicit differentiation:

$\displaystyle 2y \frac{dy}{dx} = 6e^{2x} -4$

Hence:

$\displaystyle \frac{dy}{dx} = \frac{3e^{2x} -2}{y}$

And we can find the second derivative by using the quotient rule:

$\displaystyle \begin{aligned}\frac{d^2y}{dx^2} & = \frac{(3e^{2x}-2)'(y)-(3e^{2x}-2)(y)'}{(y)^2}\\ \\ &= \frac{6ye^{2x}-\left(3e^{2x}-2\right)\left(\dfrac{dy}{dx}\right)}{y^2} \\ \\ &=\frac{6ye^{2x} -\left(3e^{2x} -2\right)\left(\dfrac{3e^{2x}-2}{y}\right)}{y^2}\\ \\ &=\frac{6y^2e^{2x}-\left(3e^{2x}-2\right)^2}{y^3}\end{aligned}$