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1 year ago

12.012 divided by 5.6

Mathematics

2 answers:

Gelneren [198K]1 year ago

7 0

The answer would be 2.145

Sladkaya [172]1 year ago

7 0

The answer to your question is 2.145

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If 2x2 + y2 = 17 then evaluate the second derivative of y with respect to x when x = 2 and y = 3. Round your answer to 2 decimal

Vera_Pavlovna [14]

Answer:

y''=-1.26

Step-by-step explanation:

We are given that $2x^2+y^2=17$

We have evaluate the second order derivative of y w.r.t. x when x=2 and y=3.

Differentiate w.r.t x

Then , we get

$4x+2yy'=0$

$2x+yy'=0$

$yy'=-2x$

$y'=-\frac{2x}{y}$

Again differentiate w.r.t.x

Then , we get

$2+(y')^2+yy''=0$ $(u\cdot v)'=u'v+v'u)$

$2+(y')^2+yy''=0$

Using value of y'

$yy''=-2-(-\frac{2x}{y})^2$

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

Substitute x=2 and y=3

Then, we get $y''=-\frac{2+(\frac{4}{3})^2}{3}$

$y''=-\frac{18+16}{9\times 3}=-\frac{34}{27}$

Hence,y''=-1.26

6 0

2 years ago

In ΔMNO, the measure of ∠O=90°, ON = 65, MO = 72, and NM = 97. What is the value of the tangent of ∠M to the nearest hundredth?

PilotLPTM [1.2K]

Answer:

Therefore the value of tangent of ∠ $M$ is $42$ °.

Step-by-step explanation:

Given that,

In Δ $MNO$ , ∠ $O=90$ °, $ON=65,$ $MO=72,$ and $NM=97.$

and we have to find the value of tangent of ∠ $M.$

Diagram of the given triangle is shown below:

Now,

Δ $MNO$ is a right angle triangle, so we can use all the trigonometric ratio.

$sin\alpha =\frac{Perpendicular}{Hypotenuse}$

$cos\alpha =\frac{Base}{Hypotenuse}$

$tan\alpha =\frac{sin\alpha }{cos\alpha }$ = $\frac{Perpendicular}{Base}$

tangent of ∠ $M$ = $\frac{Perpendicular}{Base}$

= $\frac{ON}{MO}$

= $\frac{65}{72}$

= $0.90278$

∴∠ $M$ = $tan^{-1} (0.90278)$

= $42.0750$ ° ≅ $42$ °

Therefore the value of tangent of ∠ $M$ is $42$ °.

4 0

2 years ago

Susan keeps track of the number of tickets sold for each play presented at the community theater. within how many standard devia

Citrus2011 [14]

The Mean = (135 + 71 + 69 + 80 + 158 + 152 + 161 + 96 + 122 + 118 + 87 + 85 ) : 12 = 111.166
The smallest value : 69
The greatest value : 161
s² = ∑( x i - x )² / ( n - 1 )
s² = ( 568.274 + 1613.3 + 1777.97 + 971.32 + 2193.42 + 1667.4 + +2483.42 + 230 + 117.38 + 46.7 + 584 + 684.66 ) : 11
s² = 1176.1676
s = √s² = √1176.1676
s ( Standard deviation ) = 34.295
All the values fall within 2 standard deviations:
x (Mean) - 2 s and x + 2 s

3 0

1 year ago

Read 2 more answers

When finding the volume of a soup can, Tommy needs to calculate the area of the base. Describe what type of base Tommy’s soup ca

lyudmila [28]

This is the concept of Area and volume of solid materials; Tommy soup can is likely to have a cylindrical shape. This means that the base of the cylinder will have a circular shape. If this is the case the volume of the can will be given by:
volume=[base area]*height
volume=πr^2h
where;
base area=πr^2
height=h

3 0

2 years ago

Read 2 more answers

Kristina's work is 2.625 miles from her house. She bikes to and from work every day, 5 days a week. How many miles does she bike

taurus [48]

She bikes 761.25 miles in all to and from her job in 29 weeks.

Step-by-step explanation:

Distance from her house = 2.625 miles

As this is the distance of one side, she covers same distance for coming back.

Total distance for one day = 2.625 + 2.625 = 5.25 miles

She goes to work for 5 days per week.

29 weeks = $29*5 = 145\ days$

Total distance covered in 29 weeks;

Total distance = Distance for one day * Days in 29 weeks

$Total\ distance=5.25*145=761.25\ miles$

She bikes 761.25 miles in all to and from her job in 29 weeks.

Keywords: multiplication, distance

Learn more about multiplication at:

#LearnwithBrainly

6 0

1 year ago