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3 years ago

Integrate 2x/sqrt(1-x^2) dx from 0 to ½.

1 answer:

7 0

A short-cut to accurately evaluate the given expression above is using a scientific calculator where one can include integrals and evaluate using limits. In this case, using a calculator, the answer is equal to 0.2679. One can verify this by integrating truly letting 1-x^2 as u and use its du to be substituted in the numerator

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Solve the quadratic. 4x^2+4-20=0 brainlist if you explain

frez [133]

Answer:

x = -1/2(1 +√21) ≈ -2.79129
x = -1/2(1 -√21) ≈ 1.79129

Step-by-step explanation:

We assume the middle term is supposed to be 4x.

We can remove a common factor of 4 to simplify this a bit.

x^2 +x -5 = 0

This is of the form

ax^2 +bx +c = 0

where a=1, b=1, c=-5.

The quadratic formula gives the solutions as ...

$x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}$

Filling in the given coefficients, we have ...

x = (-1 ±√(1^2 -4·1·(-5)))/(2·1)

x = (-1±√21)/2

The solutions are x = -1/2(1 +√21) and -1/2(1 -√21).

_____

If what you wrote is what you intend, then the equation simplifies to 4x^2 -16 = 0.

Dividing by 4 and factoring the difference of squares gives ...

x^2 -4 = 0

(x -2)(x +2) = 0

These factors are zero (hence their product is 0) for the values x = 2 and x = -2.

The solutions are x=2 and x=-2.

5 0

3 years ago

A group of friends went to lunch, and their bill was $132.50. An 18% gratuity was added to the bill. What was the total amount o

Serggg [28]

Answer:

$156.35

Step-by-step explanation:

we know that

A group of friends went to lunch, and their bill was $132.50

In this problem

$132.50 represent the 100%

100%+18%=118%

using proportion

Find out the total amount that represent 118%

Let

x ----> the total amount of the bill

$\frac{\$132.50}{100\%}=\frac{x}{118\%}\\\\x=132.50(118)/100\\\\x=\$156.35$

7 0

3 years ago

On a piece of paper, draw a box plot to represent the data below. Then determine which answer choice matches the box plot you dr

earnstyle [38]

Answer:

The answers A

Step-by-step explanation:

A has 22, the lowest number, 28, the third lowest number, 42, the middle number, 56, the third highest number, and 61 the highest number!

8 0

3 years ago

Today Ian wants to run less than 7/12 mile which of the following distances is less than 7/12?

dybincka [34]

A fraction with a denominator of 4 that is less than 7/12 miles is 1/4.Let the fraction be x/4. Since this fraction must be less than 7/12 miles, we can write the inequality, x/4 < 7/12.We now solve the inequality for x to obtain, x<7/12(4).

This simplifies to x<7/3

This implies that x<2 1/3

This is distance so x is positive.

So we can choose x=1 or x=2.

Therefore the possible fractions include 1/4 or 2/4.

In the simplest form, the most appropriate fraction is 1/4

6 0

3 years ago

Read 2 more answers

Classify the triangle based on its sides

Klio2033 [76]

<h2>It is an equilateral triangle </h2>

If you are helped with my answer pls tag me brianliest

I really want it

THANK YOU........

8 0

2 years ago