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3 years ago

6

A number halved and then halved again is equal to 2 what was the original number

1 answer:

Vera_Pavlovna [14]3 years ago

3 0

8
can be solved by the equation x/4=2.solve for x

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Given that 1 x2 dx 0 = 1 3 , use this fact and the properties of integrals to evaluate 1 (4 − 6x2) dx. 0

Debora [2.8K]

So, the definite integral $\int\limits^1_0 {(4 - 6x^{2} )} \, dx= - 74$

Given that

$\int\limits^1_0 {x^{2} } \, dx = 13$

We find

$\int\limits^1_0 {(4 - 6x^{2} )} \, dx$

<h3>Definite integrals </h3>

Definite integrals are integral values that are obtained by integrating a function between two values.

So, $Integral \int\limits^1_0 {(4 - 6x^{2} )} \, dx$

So, $\int\limits^1_0 {(4 - 6x^{2} )} \, dx = \int\limits^1_0 {4} \, dx - \int\limits^1_0 {6x^{2} } \, dx \\= 4[x]^{1}_{0} - \int\limits^1_0 {6x^{2} } \, dx \\= 4[x]^{1}_{0} - 6\int\limits^1_0 {x^{2} } \, dx \\= 4[1 - 0] - 6\int\limits^1_0 {x^{2} } \, dx\\= 4[1] - 6\int\limits^1_0 {x^{2} } \, dx\\= 4 - 6\int\limits^1_0 {x^{2} } \, dx$

Since

$\int\limits^1_0 {x^{2} } \, dx = 13$ ,

Substituting this into the equation the equation, we have

$\int\limits^1_0 {(4 - 6x^{2} )} \, dx = 4 - 6\int\limits^1_0 {x^{2} } \, dx\\= 4 - 6 X 13 \\= 4 - 78\\= -74$

So, $\int\limits^1_0 {(4 - 6x^{2} )} \, dx= - 74$

Learn more about definite integrals here:

brainly.com/question/17074932

4 0

2 years ago

Caroline, Krutika and Natasha share some sweets in the ratio 1:2:4. Caroline gets 14 sweets.

lisov135 [29]

Answer:

98 sweets

Step-by-step explanation:

Caroline got 14 sweets, ratio for her was 1.

Krutika had twice the bigger ratio than her, which means you have to multipy Carolines' sweets by 2. -> 14*2= 28

And do the same thing for Natasha which gives us the result of 56. 14*4= 56

And finally, you add all of those together and get 14+28+56=98.

Hope I helped! :)

5 0

3 years ago

Solve the system of equations using substitution. y = 2x – 10 y = 4x – 8

Dmitry_Shevchenko [17]

If this paper dosent help u solve it on Your own i can walk u through it

3 0

3 years ago

Read 2 more answers

Which question is best modeled with a division expression? How many StartFraction 3 Over 8 EndFraction’s are in 48? What is Star

topjm [15]

Answer:

Im pretty sure its the first choice but the question is hard to read

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

What is the simplified form of the following expression? (5 points)

jek_recluse [69]

$\huge \boxed{\mathbb{QUESTION} \downarrow}$

Simplify ⇨ (n⁵)(n²)

$\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}$

$\tt \: ( n ^ { 5 } ) ( n ^ { 2 } )$

To multiply powers of the same base, add their exponents.

$\tt \: n ^{5 + 2} \\$

Add 5 and 2 to get 7.

$= \boxed {\boxed{\bf \: {n}^{7} }}$

The first option <em><u>n⁷</u></em><em><u> </u></em>is the correct answer.

5 0

3 years ago