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2 years ago

What is 40.15% of 23?

Mathematics

2 answers:

Lilit [14]2 years ago

8 0

$1\%=\frac{1}{100}\\\\ 40.15\%\cdot 23=40.15 \cdot \frac{1}{100}\cdot 23=\frac{923.45}{100}=9.2345$

klemol [59]2 years ago

6 0

Hey!

Hope this helps...

~~~~~~~~~~~~~~~~~~~~~~~~

This is actually a pretty easy question... all we have to do is 23 * 0.4015

We know that %40.15 = 0.4015, because 40.15/100 = 0.4015...

So 23 * 0.4015 = 9.2345

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6.4 Q3.) Use Simpson's rule to approximate and use the fundamental theorem of calculus to find the exact value of the definite i

Sav [38]

When we divide the interval from 1 to 5 into 4 subintervals, each has a width of 1. Simpson's rule has us evaluate the integral as

... integral = (1/3)(f(1) +4f(2) +2f(3) +4f(4) +f(5)) = (1/3)(10 +4·25 +2·46 +4·73 +106)

... integral = (1/3)(600) = 200 . . . . . by Simpson's rule

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The integral evaluates to

$\displaystyle \int_{1}^{5}{\left(3x^2+6x+1\right)}\,dx=\left[x^3+3x^2+x\right]\limits_{1}^{5}=(5^3-1^3)+3(5^2-1^2)+(5-1)\\=124+3*24+4=200$

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Simpson's rule uses a quadratic interpolation, so evaluates quadratics exactly.

5 0

2 years ago

The solution set of 4x-(x+7)=2(x+3)

maria [59]

Step-by-step explanation:

<h3>To Solve:-</h3>

$\\ \tt{:}\leadsto 4x-(x+7)=2(x+3)$

<h3>SOLUTION:-</h3>

$\\ \tt{:}\leadsto 4x-(x+7)=2(x+3)$

$\\ \tt{:}\leadsto 4x-x-7=2x+6$

$\\ \tt{:}\leadsto 3x-7=2x+6$

$\\ \tt{:}\leadsto 3x-2x=6+7$

$\\ \tt{:}\leadsto x=13$

7 0

2 years ago

16 POINTS

Marta_Voda [28]

Solve the following system using elimination:
{7 x + 2 y = -19 | (equation 1)
{2 y - x = 21 | (equation 2)

Add 1/7 × (equation 1) to equation 2:
{7 x + 2 y = -19 | (equation 1)
{0 x+(16 y)/7 = 128/7 | (equation 2)

Multiply equation 2 by 7/16:
{7 x + 2 y = -19 | (equation 1)
{0 x+y = 8 | (equation 2)

Subtract 2 × (equation 2) from equation 1:
{7 x+0 y = -35 | (equation 1)
{0 x+y = 8 | (equation 2)

Divide equation 1 by 7:
{x+0 y = -5 | (equation 1)
{0 x+y = 8 | (equation 2)

Collect results:
Answer: {x = -5, y = 8

8 0

2 years ago

Which of the following approximates the ratio of 6 to 198? Select all that apply. 3 out of 10 3 × 10−2 3 out of 1,000 3 × 102 3

Jobisdone [24]

this is approximately 6 to 200

divide both by 2

3 to 100

3 to 10^2

3 out of 100

5 0

2 years ago

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