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3 years ago

The equation y-9+9=-17+9 is an example of which property of equality?

1 answer:

7 0

This is the concept of algebra. from the given equation;
y-9+9=-17+9
The original equation was y-9=-17
The subtraction was undone by applying inverse operation of adding 9 to get;
y-9+9=-17+9
y=-8
The aim of doing this was to obtain the value of the unknown which is y

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Ellie runs 5/6 mile in 10 minutes.what is ellie's speed in miles per minute?

olganol [36]

Answer:

1/12 miles/minute

Step-by-step explanation:

To figure out how fast ellie runs in 1 minute, we can set up this equation:

5/6 = 10x (x being the speed per minute)

We can divide both sides by 10

5/60 = x

Then simplify the fraction to get:

1/12 = x

4 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

3 years ago

If 32^2c = 8^c+7, what is the value of c?<br> 0 1<br> O2<br> O 3<br> 05

lidiya [134]

Answer:

32^ 2c=8^ c+7

C=3

8 0

3 years ago

Read 2 more answers

Van purchased a DVD player on sale. The original selling price was $175.80. The sale price was $149.42. What is the first ste

rjkz [21]

Answer:

The percent decrease was 15%

Step-by-step explanation:

In order to find this, use the percent change equation.

(New - Old)/(Old) * 100 = % Change

Now input 149.42 for the New price and 175.80 for the Old price.

(149.42 - 175.80)/(175.80) * 100 = % Change

-26.38/175.80 * 100 = % Change

-.15 * 100 = % Change

-15 = % Change

5 0

3 years ago

A column of water 10 feet tall exerts a pressure of......... pounds per square foot at the base. A - 124.8 B - 624. C - 62.4 D -

-Dominant- [34]

Answer:

B. 624

Step-by-step explanation:

P = ρgh

P = (62.4 lb/ft³) (10 ft)

P = 624 lb/ft²

8 0

3 years ago