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3 years ago

11

0.08 was rounded to 1 significant figure. What is the lower bound?

2 answers:

Black_prince [1.1K]3 years ago

7 0

I believe the answer is 0.9 because a significant figure is a similar difference

White raven [17]3 years ago

3 0

The answer is 0.075.

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The diagonal measurement of a tv screen is 42 inches. The base is 38 inches wide. How tall is the tv?

emmasim [6.3K]

Given:

Diagonal measurement of a tv screen = 42 inches.

Base = 38 inches

To find:

The height of the tv.

Solution:

Let h be the length of the tv.

According to the Pythagoras theorem,

$hypotenuse^2=base^2+perpendicular^2$

$(42)^2=(38)^2+(h)^2$

$1764=1444+(h)^2$

$1764-1444=(h)^2$

Taking square root on both sides.

$\sqrt{320}=h$

$\sqrt{64\times 5}=h$

$8\sqrt{5}=h$

Therefore, the height of the tv is $8\sqrt{5}$ inches.

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3 years ago

Find a solution to the following initial-value problem: dy dx = y(y − 2)e x , y (0) = 1.

Veseljchak [2.6K]

This equation is separable, as

$\dfrac{\mathrm dy}{\mathrm dx}=y(y-2)e^x\implies\dfrac{\mathrm dy}{y(y-2)}=e^x\,\mathrm dx$

Integrate both sides; on the left, expand the fraction as

$\dfrac1{y(y-2)}=\dfrac12\left(\dfrac1{y-2}-\dfrac1y\right)$

Then

$\displaystyle\int\frac{\mathrm dy}{y(y-2)}=\int e^x\,\mathrm dx\implies\frac12(\ln|y-2|-\ln|y|)=e^x+C$

$\implies\dfrac12\ln\left|\dfrac{y-2}y\right|=e^x+C$

Since $y(0)=1$ , we get

$\dfrac12\ln\left|\dfrac{1-2}1\right|=e^0+C\implies C=-1$

so that the particular solution is

$\dfrac12\ln\left|\dfrac{y-2}y\right|=e^x-1\implies\boxed{y=\dfrac2{1-e^{2e^x-2}}}$

4 0

3 years ago

 −   −      =<br>    <br> 10 8

san4es73 [151]

Answer:

ANSWER might be 6

Hope it helps

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2 years ago

Elvira’s cafeteria has cartons of milk that are typical of school lunch. The milk supplier charges $0.35 per carton of milk, in

FromTheMoon [43]

Write the equation out: (total cost: 0.35C[per carton] + 75[delivery charge]) ≤ 500. Subtract 75 on both sides and it would be: 0.35C ≤ 425. Divide 0.35 on both sides and you'll get C ≤ 1214. Therefore, the maximum # of cartons that Elvira can buy is 1214 cartons of milk.

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3 years ago

Simplify expression X^2+x-2/x^3-x^2+2x-2

professor190 [17]

Answer:

$=\frac {x+2}{x^2+2}$ is the simplest form of given expression.

Step-by-step explanation:

The given question is $\frac{x^2+x-2}{x^3-x^2+2x-2}$

To solve the problem we have to group or split middle term and then factorise

$\frac{x^2+(2x-x)-2}{(x^3-x^2)+(2x-2)}$

Taking $x^2$ common from first two terms of denominator and 2 from next two terms

$= \frac{x^2+2x-x-2}{x^2(x-1)+2(x-1)}$

Now,taking x common from first two terms of numerator and -1 from next two terms and in denominator taking(x-1) common from both terms

$= \frac{ x(x+2)-1(x+2)}{(x-1)(x^2+2)}$

$=\frac{(x+2)(x-1)}{(x-1)(x^2+2)}$

Now cancel out x-1 from both numerator and denominator we get

$=\frac {x+2}{x^2+2}$ is the required simplest form.

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3 years ago