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2 years ago

6

A group of mountain climbers beginner expedition with 250 pounds of food they play to be a total of 12 pounds of food per day ri

ght and solve a linear equation to

1 answer:

sattari [20]2 years ago

5 0

Answer:

250f divide 12f = 21pounds rounded

Step-by-step explanation:

Hope this helps :)

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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:

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

Substitute:

$\displaystyle y\left(\frac{6y^2e^{2x}-\left(3e^{2x}-2\right)^2}{y^3}\right) + \left(\frac{3e^{2x}-2}{y}\right)^2 =6e^{2x}$

Simplify:

$\displaystyle \frac{6y^2e^{2x}- \left(3e^{2x} -2\right)^2}{y^2} + \frac{\left(3e^{2x}-2\right)^2}{y^2}= 6e^{2x}$

Combine fractions:

$\displaystyle \frac{\left(6y^2e^{2x}-\left(3e^{2x} - 2\right)^2\right) +\left(\left(3e^{2x}-2\right)^2\right)}{y^2} = 6e^{2x}$

Simplify:

$\displaystyle \frac{6y^2e^{2x}}{y^2} = 6e^{2x}$

Simplify:

$6e^{2x} \stackrel{\checkmark}{=} 6e^{2x}$

Q.E.D.

6 0

2 years ago

What is 60 x 473 I'm so confused pls help :(

Anestetic [448]

Answer:

28,389

Step-by-step explanation:

8 0

3 years ago

What is 216 in exponential form?<br> A) 26 <br> B) 35 <br> C) 44 <br> D) 63

marta [7]

216 = 6 x 6 x 6 = 6^3

Answer

D) 6^3

5 0

2 years ago

Help me with this geometey question !! thanks!

Reptile [31]

Answer:

A=542

Step-by-step explanation:

none, sorry

6 0

2 years ago

Read 2 more answers

Expressions and Equations

marissa [1.9K]

Answer:

a. Yes

b. Yes

c. Yes

d. No

Step-by-step explanation:

a. Because -10x+4x=6x

b. 2(12-3x)=2*12-2*3x=24-6x

c. 24 and -6x just switched places.

d. 24x-6x=18x not 24-6x

3 0

3 years ago