All categories

3 years ago

Left parenthesis one third divided by one half right parenthesis plus five sixths

Mathematics

1 answer:

Paladinen [302]3 years ago

5 0

Answer:

One Whole number, one over two.

Step-by-step explanation:

Please find the attached file for the Solution.

You might be interested in

We just need to find the missing statement to prove that angle AED is congruent to CED

Delvig [45]

Answer:

∠ADE = ∠EDC (reason: CPCTC)

6 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

3 years ago

Mr. Mandel gave his class 12 minutes to read. 5 1/2 pages in that time. At what rate, in pages per hour, did Claire read?

Eva8 [605]

5 1/2 pages in 12 minutes.
11/2 pages in 12 minutes

How many pages in an hour?
well, an hour has 60 minutes

Let's write a proportion
11/2 / 12 = x/60
cross multiply
(11/2 * 60) = 12x
330 = 12x
divide both sides by 12
27.5 or 27 1/2 = x

27.5 pages per hour.

Hope this helps

8 0

3 years ago

Solve for x. −35x+15>7/20 Drag and drop a number or symbol into each box to correctly complete the solution.

BaLLatris [955]

Answer:

x < 293 / 700

Step-by-step explanation:

−35x + 15 > 7/20

Multiplying all through by 20

-700x + 300 > 7

-700x > 7 - 300

-700x > -293

Divide all through by 700

- x > - 293 / 700

Multiply all through by -

x < 293 / 700

7 0

3 years ago

Evaluate each expression below. <br> Click on "Undefined" as needed. <br> 0/9=<br> 3÷0 =

damaskus [11]

0/9 = 0 and 3/0 = undefined. Any number divided by 0 is undefined, while 0 divided by any number is just 0.

6 0

3 years ago