All categories

2 years ago

Round each decimal number to the nearest hundred 8.314

Mathematics

2 answers:

kobusy [5.1K]2 years ago

6 0

8.31 because it goes after the decimal tenth then hundreth the for is in the thousandths

elixir [45]2 years ago

5 0

The answer is 8.3 Hope this helps

You might be interested in

And object is traveling at a steady speed of 8 2/3 mph how long will it take to object to travel 5 1/5 miles

LenaWriter [7]

$\bf \begin{array}{ccll}
miles&hours\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
8\frac{2}{3}&1\\\\
5\frac{1}{5}&h
\end{array}\implies \cfrac{8\frac{2}{3}}{5\frac{1}{5}}=\cfrac{1}{h}\implies \cfrac{\quad \frac{26}{3}\quad }{\frac{26}{5}}=\cfrac{1}{h}\implies \cfrac{26}{3}\cdot \cfrac{5}{26}=\cfrac{1}{h}
\\\\\\
\cfrac{5}{3}=\cfrac{1}{h}\implies 5h=3\implies h=\cfrac{3}{5}$

which is just 36 minutes.

8 0

2 years ago

Write the given differential equation in the form L(y) = g(x), where L is a linear differential operator with constant coefficie

melamori03 [73]

Answer:

The complete solution is

$\therefore y= Ae^{3x}+Be^{-\frac13 x}-\frac43$

Step-by-step explanation:

Given differential equation is

3y"- 8y' - 3y =4

The trial solution is

$y = e^{mx}$

Differentiating with respect to x

$y'= me^{mx}$

Again differentiating with respect to x

$y''= m ^2 e^{mx}$

Putting the value of y, y' and y'' in left side of the differential equation

$3m^2e^{mx}-8m e^{mx}- 3e^{mx}=0$

$\Rightarrow 3m^2-8m-3=0$

The auxiliary equation is

$3m^2-8m-3=0$

$\Rightarrow 3m^2 -9m+m-3m=0$

$\Rightarrow 3m(m-3)+1(m-3)=0$

$\Rightarrow (3m+1)(m-3)=0$

$\Rightarrow m = 3, -\frac13$

The complementary function is

$y= Ae^{3x}+Be^{-\frac13 x}$

y''= D², y' = D

The given differential equation is

(3D²-8D-3D)y =4

⇒(3D+1)(D-3)y =4

Since the linear operation is

L(D) ≡ (3D+1)(D-3)

For particular integral

$y_p=\frac 1{(3D+1)(D-3)} .4$

$=4.\frac 1{(3D+1)(D-3)} .e^{0.x}$ [since $e^{0.x}=1$ ]

$=4\frac{1}{(3.0+1)(0-3)}$ [ replace D by 0 , since L(0)≠0]

$=-\frac43$

The complete solution is

y= C.F+P.I

$\therefore y= Ae^{3x}+Be^{-\frac13 x}-\frac43$

4 0

2 years ago

The length of the red line segment is 6, and the length of the blue line segment is 4. how long is the major axis of the ellipse

juin [17]

An ellipse is divided into two axes, the longer axis is the major axis and the shorter axis is the minor axis. The length of the major axis of an ellipse is equal to the sum of two distance: the distance between any point on the ellipse and one on focus and the distance between the same point and the other focus. The focus is the point that helps define an ellipse and every ellipse has two foci. These two distance are also called the red line segment and blue line segment. Given 6 for red line segment and 4 for blue line segment therefore, the length of the major axis of the ellipse is 10.

3 0

2 years ago

Read 2 more answers

Zendaya has 5656 yard of wood to make racks for a word tile game. Each rack needs to be 1616 yard long. How many racks can Zenda

snow_lady [41]

Answer: 3

Step-by-step explanation:

Given

Zendaya has 5656 yards of wood

Each rack need 1616 yards

Number of racks that can be formed using 5656 yards are

$\Rightarrow \dfrac{5656}{1616}=3.5$

3.5 represents 3 racks as 0.5 racks is insignificant

Therefore, 3 racks can be built from 5656 yards

4 0

2 years ago

The height of a triangle is 7m less than it’s base the area of the triangle is 30m^2 what is the length of the base what is the

Ksju [112]

If you know the base and area of the triangle, you can divide the base by 2, then divide that by the area to find the height. To find the height of an equilateral triangle, use the Pythagorean Theorem, a^2 + b^2 = c^2.

3 0

2 years ago