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2 years ago

7

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

1 answer:

8_murik_8 [283]2 years ago

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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......,................

dem82 [27]

Answer:

A

Step-by-step explanation:

Given

4n² + 4(4m³ + 4n² ) ← distribute terms in parenthesis by 4

= 4n² + 16m³ + 16n² ← collect like terms

= (4n² + 16n²) + 16m³

= 20n² + 16m³

= 16m³ + 20n² ← in standard form → A

3 0

3 years ago

If the side opposite the 60 degree angle in a 30-60-90 degree is 12 centimetres, then what length of the side opposite the 30 de

Trava [24]

Answer:

4* $\sqrt3$

Step-by-step explanation:

7 0

3 years ago

There are 257 people at a dance performance. Orchestra seats cost $12 and balcony seats cost $8. The total receipts were $2,716.

solniwko [45]

x = # of balcony seats

y = # of orchestra seats

We have to create a system of equations to solve this problem

x + y = 256

$8x + $12y = $2,716

We will solve this system of equations by elimination.

Multiply the first equation by -8

-8x - 8y = -2048

8x + 12y = 2716

Let's add the equations together

0 + 4y = 668

Simplify the left side

4y = 668

Divide both sides by 4

y = 167

We can subtract 167 from 257 to get the number of balcony seats.

257 - 167 = 90 balcony seats

There are 167 orchestra seats and 90 balcony seats

5 0

2 years ago

What value of k makes the equation true? (5a^2 b^3)(6a^k b)=30a^6 b^4

Ratling [72]

we are given

$(5a^2 b^3)(6a^k b)=30a^6 b^4$

Firstly, we will simplify left side

and then we can solve for k

Left side is

$(5a^2 b^3)(6a^k b)$

we can arrange like terms

$(5a^2 6a^k)(b^3 b)$

$(5\times 6 a^2a^k)(b^3 b)$

$(30 a^2a^k)(b^3 b^1)$

now, we can use property of exponent

$a^m \times a^n=a^{m+n}$

$(30 a^{2+k})(b^{3+1})$

$30a^{2+k}b^{4}$

now, we can equate it with right side

and we get

$30a^{2+k}b^{4}=30a^6 b^4$

We can see that both sides have 30 , a and b

and they are equal

so, exponent of a must also be equal

$2+k=6$

now, we can solve for k

$2+k-2=6-2$

$k=4$ ................Answer

3 0

3 years ago

Read 2 more answers

How can I do number 25?

Delicious77 [7]

+
^ that's your answer

3 0

3 years ago

Read 2 more answers