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sergeinik [125]

3 years ago

11

-2(-12)(-8) PLZ I NEED HELP WITH THIS ONE>

1 answer:

otez555 [7]3 years ago

7 0

Step1:use the rules for multiplication
-2x(-12)x(-8)
Step2:Multiply
-(2x12x8)
Step3:multiply
-(24x8)
Solution:
-192

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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

3 years ago

Determine whether the sequence is geometric. If so, find the common ratio. 3.0, 6.0, 12.0, 24.0

Luba_88 [7]

Answer:

The sequence <u>is</u> geometric and the common ratio is 2

Step-by-step explanation:

A sequence is geometric if each term (after the first one) is equal to the term before it times some constant number, called the 'common ratio'.

Examples: 1, 2, 4, 8, 16, ... has a common ratio of 2 because 2*2 = 4, and 4*2 = 8, and so on.

Also, --> 4, 2, 1, 1/2, 1/4/ 1/8, ... has a common ratio of 1/2 because

4 * 1/2 = the next term 2, and 2 * 1/2 = the next trem 1/4, and son on.

In this case, 3 * 2 = 6

6 * 2 = 12

12 * 2 = 24

The sequence <u>is</u> geometric and the common ratio is 2

6 0

3 years ago

A 28 ft ladder is leaned against the side of a building and its base is 5 ft away from the building. How far up the building wil

Sonja [21]

Answer:

27.55ft

Step-by-step explanation:

28²-5²=x

784-25=759

square root of 759=27.55

5 0

3 years ago

1500 people to part in a walkathon. 450 of them were school children. The rest are adults. What percentage of the participants w

Bas_tet [7]

70% of the people were adults

First you subtract 1500-450 = 1050
Then you divide 1050/1500 = .7

5 0

3 years ago

Read 2 more answers

6x+5x-8=-41 what property is this ?

Allisa [31]

Standard form

6x+5x-8 =-41

Is in standard form

6 0

3 years ago