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3 years ago

Simplify: 0.810×0.00048 all over 0.000400×0.027

Mathematics

2 answers:

irakobra [83]3 years ago

8 0

The person above me is right 100% :)

elixir [45]3 years ago

4 0

Answer:

Step-by-step explanation:

Okay! This question is a very simple one, but without a calculator, your answer could easily vary from others! So, let´s do this one together!

The equation:

0.810x0.00048/0.000400x0.027

Let´s do the top :

0.810 x 0.00048 = 0.0003888

I will leave these numbers the same until the last part, lets not round them.

Bottom:

0.0004 x 0.027 = 0.0000108

And again I am not going to round this number.

Now we can divide!

0.0003888/0.0000108 = 36

I hope this helped!

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A square has a side of 6.25 feet. What is the area in square feet? Round to the nearest tenth and do NOT include units

frez [133]

since it's a square all sides are equal so

6.25 multiplied by 6.25

= 39.1 square feet

8 0

3 years ago

Hi, help with question 18 please. thanks

Vadim26 [7]

Answer:

See Below.

Step-by-step explanation:

We are given the equation:

$\displaystyle y^2 = 1 + \sin x$

And we want to prove that:

$\displaystyle 2y\frac{d^2y}{dx^2} + 2\left(\frac{dy}{dx}\right) ^2 + y^2 = 1$

Find the first derivative by taking the derivative of both sides with respect to <em>x: </em>

<em /> $\displaystyle 2y \frac{dy}{dx} = \cos x$ <em />

Divide both sides by 2<em>y: </em>

<h3><em /> $\displaystyle \frac{dy}{dx} = \frac{\cos x}{2y}$ <em /></h3>

<em />

Find the second derivative using the quotient rule:

$\displaystyle \begin{aligned} \frac{d^2y}{dx^2} &= \frac{(\cos x)'(2y) - (\cos x)(2y)'}{(2y)^2}\\ \\ &= \frac{-2y\sin x-2\cos x \dfrac{dy}{dx}}{4y^2} \\ \\ &= -\frac{y\sin x + \cos x\left(\dfrac{\cos x}{2y}\right)}{2y^2} \\ \\ &= -\frac{2y^2\sin x+\cos ^2 x}{4y^3}\end{aligned}$

Substitute:

$\displaystyle 2y\left(-\frac{2y^2\sin x+\cos ^2 x}{4y^3}\right) + 2\left(\frac{\cos x}{2y}\right)^2 +y^2 = 1$

Simplify:

$\displaystyle \frac{-2y^2\sin x-\cos ^2x}{2y^2} + \frac{\cos ^2 x}{2y^2} + y^2 = 1$

Combine fractions:

$\displaystyle \frac{\left(-2y^2\sin x -\cos^2 x\right)+\left(\cos ^2 x\right)}{2y^2} + y^2 = 1$

Simplify:

$\displaystyle \frac{-2y^2\sin x }{2y^2} + y^2 = 1$

Cancel:

$\displaystyle -\sin x + y^2 = 1$

Substitute:

$-\sin x + \left( 1 + \sin x\right) =1$

Simplify. Hence:

$1\stackrel{\checkmark}{=}1$

Q.E.D.

8 0

3 years ago

Plz help quick pls Brainly

pentagon [3]

Answer:

x is greater than or equal to -26

Step-by-step explanation:

We can use distributive property to solve the equation.

-6(x+4) in distributive property is: -6x-24

-6x-24 is less than or equal to -5x+2

+6x +6x

-24 is less than or equal to x+2

-2 -2

-26 is less than or equal to x

This means x is greater than or equal to -26

On the graph you would put a closed circle on -26 and point to the right.

Hope this helps! Good luck on your quiz!

4 0

3 years ago

I need help badly and don't send no links or you will be reported

Westkost [7]

Answer: - 3/2

Step-by-step explanation:

Use this formula to find the slope for any two given points.

(4, 3) and (6, 0)

↓ ↓ ↓ ↓

x1 y1 x2 y2

y2 - y1 0 - 3

--------- = ---------- = -3/2

x2 - x1 6 - 4

Hope this helped! :)

6 0

3 years ago

Which of the following is equivalent to the distance between the points (3,2) and (2,0)?

mr Goodwill [35]

The distance between any 2 points P(a,b) and Q(c,d) in the coordinate plane, is given by the formula:

$|PQ|= \sqrt{ (a-c)^{2} + (b-d)^{2} }$

Thus, the distance between points (3,2) and (2,0) is:

$d= \sqrt{ (3-2)^{2} + (2-0)^{2}}=\sqrt{1 + 4}= \sqrt{5}$

Answer: $\sqrt{5}$ units

4 0

3 years ago