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Anuta_ua [19.1K]

2 years ago

10

Dara has to solve 35 math problems for homework. She has completed 14 of them.what fraction of the problems does she have left t

o do?

1 answer:

RSB [31]2 years ago

6 0

Answer: 3/5

Step-by-step explanation: thats your answer.

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Identify the volume and surface area of the sphere in terms of π.

Anastasy [175]

Answer:

Sphere Formulas in terms of radius r:

Volume of a sphere: V = (4/3)πr.

5 0

2 years ago

If you borrow $400 for 3 years at an annual interest rate of 4% how much will you pay altogether?

denpristay [2]

Answer:

$448

Step-by-step explanation:

4 0

2 years ago

Do I need to flip my sign? 3x = -12

Nataliya [291]

Answer:

no

Step-by-step explanation:

3x=-12

/3 /3

x=-4

:)

7 0

2 years ago

The estimated value of the integral from 0 to 2 of x cubed dx , using the trapezoidal rule with 4 trapezoids is

bulgar [2K]

The integral is approximated by the sum,

$\displaystyle\int_0^2f(x)\,\mathrm dx\approx\sum_{n=0}^4\frac12\times\frac{f(x_n)+f(x_{n+1})}2=\frac14\sum_{n=0}^3(f(x_n)+f(x_{n+1}))$

where $f(x)=x^3$ and $x_n=\dfrac12n$ , giving you

$\displaystyle\frac14\sum_{n=0}^3\bigg(\left(\frac n2\right)^3+\left(\frac{n+1}2\right)^3\bigg)$
$\displaystyle\frac1{32}\sum_{n=0}^3(n^3+(n+1)^3)$
$\displaystyle\frac1{32}\sum_{n=0}^3(2n^3+3n^2+3n+1)$

Faulhaber's formulas make short work of computing the sum. You have

$\displaystyle\sum_{n=0}^k1=k+1$
$\displaystyle\sum_{n=0}^kn=\frac{k(k+1)}2$
$\displaystyle\sum_{n=0}^kn^2=\frac{k(k+1)(2k+1)}6$
$\displaystyle\sum_{n=0}^kn^3=\frac{k^2(k+1)^2}4$

which gives

$\displaystyle\frac1{16}\sum_{n=0}^3n^3+\frac3{32}\sum_{n=0}^3n^2+\frac3{32}\sum_{n=0}^3n+\frac1{32}\sum_{n=0}^31$
$\displaystyle\frac{36}{16}+\frac{42}{32}+\frac{18}{32}+\frac4{32}$
$\implies\displaystyle\int_0^2x^3\,\mathrm dx\approx\frac{17}4=4.25$

4 0

2 years ago

Solve for g.<br><br> –19g = –20g + 12<br><br> g =

Vera_Pavlovna [14]

Answer:

g = 12

Step-by-step explanation:

–19g = –20g + 12

Add 20 g to each side

–19g+20 g = –20g+ 20g + 12

g = 12

4 0

2 years ago

Read 2 more answers