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2 years ago

Determine the two consecutive integers between which the given number is located on the number line.

Mathematics

1 answer:

navik [9.2K]2 years ago

7 0

Answer:

between 3 and 4

Step-by-step explanation:

to find 19/6 located where on the number line

first we need to convert 19/6 to decimal

19/6 = 3.166...

so lets now see where 3.166 lies

it first lies between 3.160 and 3.170

but we need integer

so we go deeper and see

it lies between 3.100 and 3.200

and then we need to go more deeper to get an integer not decimal

now it lies between 3 and 4

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What is this percent in simplest form? 15 3/5%=

Paul [167]

Answer:

0.156

Step-by-step explanation:

15 3/5%=(15+ 0.6)/100=15.6/100=0.156

5 0

2 years ago

Find the indefinite integral. (Note: Solve by the simplest method—not all require integration by parts. Use C for the constant o

umka2103 [35]

Answer:

∫▒〖arctan⁡(x).1 dx=arctan⁡(x).x〗-1/2 ln⁡(1+x^2 )+C

Step-by-step explanation:

∫▒〖1st .2nd dx=1st∫▒〖2nd dx〗-∫▒〖(derivative of 1st) dx∫▒〖2nd dx〗〗〗

Let 1st=arctan⁡(x)

And 2nd=1

∫▒〖arctan⁡(x).1 dx=arctan⁡(x) ∫▒〖1 dx〗-∫▒〖(derivative of arctan(x))dx∫▒〖1 dx〗〗〗

As we know that

derivative of arctan(x)=1/(1+x^2 )

∫▒〖1 dx〗=x

∫▒〖arctan⁡(x).1 dx=arctan⁡(x).x〗-∫▒〖(1/(1+x^2 ))dx.x〗…………Eq1

Let’s solve ∫▒(1/(1+x^2 ))dx by substitution now

Let 1+x^2=u

du=2xdx

Multiply and divide ∫▒〖(1/(1+x^2 ))dx.x〗 by 2 we get

1/2 ∫▒〖(2/(1+x^2 ))dx.x〗=1/2 ∫▒(2xdx/u)

1/2 ∫▒(2xdx/u) =1/2 ∫▒(du/u)

1/2 ∫▒(2xdx/u) =1/2 ln⁡(u)+C

1/2 ∫▒(2xdx/u) =1/2 ln⁡(1+x^2 )+C

Putting values in Eq1 we get

∫▒〖arctan⁡(x).1 dx=arctan⁡(x).x〗-1/2 ln⁡(1+x^2 )+C (required soultion)

3 0

2 years ago

Read 2 more answers

The top of a mountain is 2,450 feet above sea level a shipwreck was discover 310 feet below sea level what is the distance betwe

arlik [135]

Answer:

$d=2,760\ ft$

Step-by-step explanation:

Let

x ----> the height of the top of a mountain above sea level

y ----> the deep of a shipwreck below the sea level

we know that

The sea level represent the height equal to zero

In this problem we have

$x=2,450\ ft$ ---> is positive because is above sea level

$y=-310\ ft$ ---> is negative because is below sea level

To find out the distance between the mountain top and the ship wreck, determine the absolute value of the difference between the two values

$d=\left|x-y\right|$

substitute the values

$d=\left|2,450-(-310)\right|$

$d=\left|2,450+310\right|$

$d=\left|2,760\right|$

$d=2,760\ ft$

5 0

2 years ago

Which of the following mortgage options will not have a PMI requirement?

uranmaximum [27]

I think the answer c

6 0

2 years ago

Read 2 more answers

The perimeter of a rectangular field is 380 yd. the length is 70 yd longer than the width. find the dimensions.

GaryK [48]

P=2L+2W
380=2*70+2W
380=140+2W
2W=240
W=120

The dimensions are 70 yd and 120 yd

Hope this helps!

3 0

2 years ago