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3 years ago

Whats the middle number in between 12 and 17

Mathematics

1 answer:

sattari [20]3 years ago

3 0

Answer:

The middle number would be (14+15)/2 = 14.5

How I found that is I did (14+15)/2.

pls mark as branliest

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The volume of a cylinder is given by v, where r is the radius of the cylinder and h is the height. Which expression represents t

kvv77 [185]

Answer:

V= π r2h

is this right

4 0

2 years ago

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

the floor plan is 22' in length, and 12' in width. What is the ratio of the length of the room to it's area? where Area = Length

Alenkinab [10]

The ratio of the length of the room to its area is
$\frac{22}{12 \times 22} = \frac{1}{12}$

4 0

2 years ago

you rent an apartment that costs $1600 per month during the first year ,but the rent is set to go up 11.5% per year.what would b

RoseWind [281]

Answer:

$4,750.

Step-by-step explanation:

To determine the rental value of the apartment in the tenth year, knowing that it is worth 1,600 during the first year but that it will be adjusted annually to 11.5%, the following calculation must be made:

X = 1,600 x (1 + 0.115) ^ 10

X = 4,751.91

Thus, at ten years, rounded to the nearest tenth, the rental value will be $ 4,750.

7 0

2 years ago

Read 2 more answers

Find m∠1 and m∠3 in the kite. The diagram is not drawn to scale.

Alex_Xolod [135]

Answer:

m<1 = 39°

m<3 = 180-90-39= 51°

Step-by-step explanation:

Lines AC and DB are diagonals and always meet at right angles.

Kites have two sets of equivalent adjacent sides and one set up of congruent opposite angles.

3 0

2 years ago