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2 years ago

9

negative 1 times the sum of twice a number and 3 is equal to two times the difference of -4 times the number and 3. What is the

number

1 answer:

zaharov [31]2 years ago

5 0

Answer:

1.5

Step-by-step explanation:

Let the number be denoted as "a"

-1 (2a + 3) = 2 (-4a + 3)

-2a - 3 = -8a + 6

-2a + 8a = 6 + 3

6a = 9

a = 9/6

a = 3/2 = 1.5

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Use simpson's rule with n = 10 to approximate the area of the surface obtained by rotating the curve about the x-axis. compare y

Lubov Fominskaja [6]

y = ln x , 1 <= x <= 3, about x axis and n = 10, dy/dx = 1/ x

S = (b a) ∫ 2π y √( 1 + (dy/dx) ^2) dx

so our f(x) is 2π y √( 1 + (dy/dx) ^2)

(b - a) / n = / 3 = (3-1) / 30 = 1/15

x0 = 1 , x1 = 1.2, x2 = 1.4, x3 = 1.6 ....... x(10) = 3

So we have , using Simpsons rule:-

S10 = (1/15) ( f(x0) + 4 f(x1) + 2 f)x2) +.... + f(x10) )

= (1/15) f(1) + f(3) + 4(f(1.2) + f(1.6) + f(2) + f(2.4) + f(2.8)) + 2(f(1.4) + f(1.8) + f(2.2) + f(2.6) )

( Note f(1) = 2 * π * ln 1 * √(1 + (1/1)^2) = 0 and f(3) = 2π ln3√(1+(1/3^2) = 7,276)

so we have S(10)

= 1/15 ( 0 + 7.2761738 + 4(1.4911851 +

5 0

3 years ago

16⎯⎯⎯⎯√ – (14 + 2) : 2

ollegr [7]

Answer:

Our square root calculator estimates the square root of any positive number you want. Just enter the chosen number and read the results.

Step-by-step explanation:

8 0

2 years ago

Maria and Franco are mixing sports drinks for a track meet. Maria uses 23 cup of powdered mix for every 2 gallons of water. Fran

Anastaziya [24]

Answer:

Maria

Step-by-step explanation:

Find the ratio of powdered mix to water for each drink.

For Maria:

(2/3 cup) / (2 gallon)

= 1/3 cup per gallon

For Franco:

(1 1/4 cup) / (5 gallon)

= (5/4 cup) / (5 gallon)

= 1/4 cup per gallon

Since 1/3 is bigger than 1/4, Maria's sports drink is stronger.

4 0

2 years ago

The answer to this problem?

LenaWriter [7]

The simplified expression of $\sqrt{\frac{162x^9}{2x^{27}}}$ is $\frac{9}{x^9}$

<h3>How to simplify the expression?</h3>

The expression is given as:

$\sqrt{\frac{162x^9}{2x^{27}}}$

Divide 162 and 2 by 2

$\sqrt{\frac{81x^9}{x^{27}}}$

Take the square root of 81

$9\sqrt{\frac{x^9}{x^{27}}}$

Apply the quotient rule of indices

$9\sqrt{\frac{1}{x^{27-9}}}$

Evaluate the difference

$9\sqrt{\frac{1}{x^{18}}}$

Take the square root of x^18

$\frac{9}{x^9}$

Hence, the simplified expression of $\sqrt{\frac{162x^9}{2x^{27}}}$ is $\frac{9}{x^9}$

Read more about expressions at:

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5 0

1 year ago

Select the better deal in the pair. Then give the unit rate for the better deal.

choli [55]

Answer:

Brand 2 is the better deal

Step-by-step explanation:

4 0

3 years ago