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3 years ago

Find the integral of 3/sqrt of 1-4x^2

1 answer:

8 0

$\int {\frac{3}{\sqrt{1-4x^{2}}}} \, dx$
$= 3\int {\frac{1}{\sqrt{1-4x^{2}}}} \, dx$
$= 3\int {\frac{1}{\sqrt{4(\frac{1}{4} - x^{2})}}} \, dx$
$= \frac{3}{2}\int {\frac{1}{\sqrt{\frac{1}{4} - x^{2}}}}\, dx$

$= \frac{3}{2}sin^{-1}(2x) + C$

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I think of a number multiply by three add four I get 22. Using the statement above form an equation use the letter x for the unk

bogdanovich [222]

Answer:

x=6

Step-by-step explanation:

(x*3)+4=22

Subtracting 4 from both sides:

(x*3)=18

Dividing both sides by 3:

x=6

Hope this helps!

4 0

3 years ago

For there are 48 apples and 60 bananas and 96 oranges each basket must contain the same number of each type of frut Search inste

vaieri [72.5K]

This question is incomplete

Complete Question

For there are 48 apples and 60 bananas and 96 oranges each basket must contain the same number of each type of fruit. Find the greatest number of baskets you can have

Answer:

The greatest number of baskets you can have is 12 baskets.

And each baskets would contain:

4 apples, 5 bananas and 8 oranges

Step-by-step explanation:

The factors of 48 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

The factors of 60 are: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

The factors of 96 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Then the greatest common factor is 12.

Therefore, the greatest number of baskets you can have is 12 baskets.

Each baskets would have

For apples

48 apples

48 apples / 12 baskets = 4 apples per basket

For bananas

60 bananas

60 bananas/12 baskets = 5 bananas per basket

For Oranges

96 Oranges/ 12 baskets = 8 oranges per baskets

8 0

3 years ago

Please someone help me on these 3 questions!! HELP ME I NEED HELP!!!!!

puteri [66]

Answer:

See below.

Step-by-step explanation:

1.) 5√6

2.) 6√2

3.) 3√7

To solve this without the use of a calculator, split the given number into a series of products (numbers multiplied) and look for pairs.

Look at the attached example of Problem 1 to get a better idea of what I mean.

3 0

2 years ago

Find the volume of a rectangular prism

Digiron [165]

Step-by-step explanation:

you know how to calculate the area of a rectangle ?

it is length × width.

now the volume of a 3D-rectangle (= a rectangular prism) is simply

length × width × height.

in our case

5 1/2 × 1 1/2 × 2 = 11/2 × 3/2 × 2 = 33/2 =

= 16 1/2 cubic units

8 0

2 years ago

32 is between which two perfect squares?

katovenus [111]

Answer:

5 * 5 = 25 and 6 * 6 = 36 :)

Step-by-step explanation:

32 is between 5 * 5 = 25

and also between 6 * 6 = 36

those are both perfect squares

i hope this helps

3 0

2 years ago