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3 years ago

What is the answer to 2/5 + 7/20 and 6/15 + 14/40

Mathematics

2 answers:

horrorfan [7]3 years ago

8 0

2/5+7/20=3/4

6/15+14/40=3/4

Cerrena [4.2K]3 years ago

4 0

2 times 5=10 7 times 20 is 140 6 times 15 is 90 and 14 times 40 is 560 and all the anwsers to that and that’s what you get

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zloy xaker [14]

Answer is

gradient=change in y/change in X

(10--2)/(4--2)=2

7 0

3 years ago

Use the Newton-Raphson method to find the root of the equation f(x) = In(3x) + 5x2, using an initial guess of x = 0.5 and a stop

xxMikexx [17]

Answer with explanation:

The equation which we have to solve by Newton-Raphson Method is,

f(x)=log (3 x) +5 x²

$f'(x)=\frac{1}{3x}+10 x$

Initial Guess =0.5

Formula to find Iteration by Newton-Raphson method

$x_{n+1}=x_{n}-\frac{f(x_{n})}{f'(x_{n})}\\\\x_{1}=x_{0}-\frac{f(x_{0})}{f'(x_{0})}\\\\ x_{1}=0.5-\frac{\log(1.5)+1.25}{\frac{1}{1.5}+10 \times 0.5}\\\\x_{1}=0.5- \frac{0.1760+1.25}{0.67+5}\\\\x_{1}=0.5-\frac{1.426}{5.67}\\\\x_{1}=0.5-0.25149\\\\x_{1}=0.248$

$x_{2}=0.248-\frac{\log(0.744)+0.30752}{\frac{1}{0.744}+10 \times 0.248}\\\\x_{2}=0.248- \frac{-0.128+0.30752}{1.35+2.48}\\\\x_{2}=0.248-\frac{0.17952}{3.83}\\\\x_{2}=0.248-0.0468\\\\x_{2}=0.2012$

$x_{3}=0.2012-\frac{\log(0.6036)+0.2024072}{\frac{1}{0.6036}+10 \times 0.2012}\\\\x_{3}=0.2012- \frac{-0.2192+0.2025}{1.6567+2.012}\\\\x_{3}=0.2012-\frac{-0.0167}{3.6687}\\\\x_{3}=0.2012+0.0045\\\\x_{3}=0.2057$

$x_{4}=0.2057-\frac{\log(0.6171)+0.21156}{\frac{1}{0.6171}+10 \times 0.2057}\\\\x_{4}=0.2057- \frac{-0.2096+0.21156}{1.6204+2.057}\\\\x_{4}=0.2057-\frac{0.0019}{3.6774}\\\\x_{4}=0.2057-0.0005\\\\x_{4}=0.2052$

So, root of the equation =0.205 (Approx)

Approximate relative error

$=\frac{\text{Actual value}}{\text{Given Value}}\\\\=\frac{0.205}{0.5}\\\\=0.41$

Approximate relative error in terms of Percentage

=0.41 × 100

= 41 %

7 0

2 years ago

Yolanda needs 5 pounds of ground beef to make lasagna for a family reunion. One package of ground beef holds 2 1/2 pounds. Anoth

jonny [76]

You can find the answer by adding the two packages and subtracting them by 5.
2 1/2+2 3/5=5 1/10
5 1/10-5=1/10

Yolonda will have 1/10 left over.

4 0

3 years ago

Which shows a correct order to solve this story problem?

Nesterboy [21]

Answer is C

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3 years ago

A veteran math teacher at a large high school claims that 93% of their students pass the state’s final exam. A random sample of

Bad White [126]

Answer:

Yes, the probability of seeing the sample result is so far from what is expected that the probability of it occurring by chance alone is very unlikely.

Step-by-step explanation:

I hope this is right

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3 years ago