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3 years ago

What is 0.85 rounded

2 answers:

7 0

0.85 is 0.85 rounded to the nearest hundredth.
.9 is 0.85 rounded to the nearest tenth
1 is 0.85 rounded to the nearest whole number
0 is 0.85 rounded to the nearest ten, hundred, etc.

frozen [14]3 years ago

4 0

0.9 to 1dp or 1 to 0dp or 1sigfig

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Use completing the square to solve the equation x2+16x=−44 . First determine the number you must add to both sides of the equati

lilavasa [31]

Answer:

We will add 64 to both sides.

x=8±√20

Step-by-step explanation:

Here we are given the equation:

$x^{2}+16x=-44$

Now we take half of the coefficient of x and add it to x.

Coefficient of x is 16, half of 16 is 8.

Also we add square of 8 to both sides.

So new equation becomes:

$x^{2}+16x+64=-44+64$

Completing the square:

$(x+8)^{2}=20$

NOw let us simplify it to get the value of x.

Taking square root on both sides:

$x+8=+/-\sqrt{20}$

Bringing 8 to the right side:

x=8±√20

4 0

3 years ago

Evaluate the integral using the indicated trigonometric substitution. (use c for the constant of integration.) x^3 / sqrt x^2 +

slava [35]

$\displaystyle\int\frac{x^3}{\sqrt{x^2+49}}\,\mathrm dx$

Taking $x=7\tan\theta$ gives $\mathrm dx=7\sec^2\theta\,\mathrm d\theta$ , so that the integral becomes

$\displaystyle\int\frac{(7\tan\theta)^3}{\sqrt{(7\tan\theta)^2+49}}(7\sec^2\theta)\,\mathrm d\theta$
$=\displaystyle7^4\int\frac{\tan^3\theta\sec^3\theta}{\sqrt{49\tan^2\theta+49}}\,\mathrm d\theta$
$=\displaystyle7^3\int\frac{\tan^3\theta\sec^3\theta}{\sqrt{\tan^2\theta+1}}\,\mathrm d\theta$
$=\displaystyle7^3\int\frac{\tan^3\theta\sec^3\theta}{\sqrt{\sec^2\theta}}\,\mathrm d\theta$
$=\displaystyle7^3\int\frac{\tan^3\theta\sec^3\theta}{|\sec\theta|}\,\mathrm d\theta$

When $\sec\theta>0$ , we have

$=\displaystyle7^3\int\frac{\tan^3\theta\sec^3\theta}{\sec\theta}\,\mathrm d\theta$
$=\displaystyle7^3\int\tan^3\theta\sec^2\theta\,\mathrm d\theta$

and from here we can substitute $u=\tan\theta$ to proceed from here.

Quick note: When we set $x=7\tan\theta$ , we are implicitly enforcing $-\dfrac\pi2$ just so that the substitution can be undone later via $\theta=\tan^{-1}\dfrac x7$ . But note that over this domain, we automatically guarantee that $\sec\theta>0$ , so the absolute value bars can be dropped immediately.

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3 years ago

Solve the inequalities and show your work:

stepan [7]

Answer:

x<4

Step-by-step explanation:

x/2-3<-1

Add 3 to each side

x/2-3+3<-1+3

x/2 < 2

Multiply each side by 2

x/2*2 <2*2

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Yes depending on her purchase. If it is over 90.00 dollars then no she will not.

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Two less than 2 times a number is the same as the number plus 64

Schach [20]

In math for we have:
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8 0

4 years ago

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