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2 years ago

Please help me!!!!!!!!!!!

Mathematics

1 answer:

tangare [24]2 years ago

6 0

Answer:

There are 41 marbles and 16 ways to choose either blue or green so we have

$\boxed{\frac{16}{41}} as the answer.$ (as the answer, I accidentally put it in TeX and I don’t want to rewrite it)

Hope this helps!

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<img src="https://tex.z-dn.net/?f=%20%7B3%7D%5E%7Bx%20%2B%202%7D%20%20-%20%20%7B3%7D%5E%7Bx%7D%20%20%3D%20%20%5Cfrac%7B8%7D%7B9%

ser-zykov [4K]

$3^{x + 2}$ - $3^{x}$ = $3^{x}$ * $3^{2}$ - $3^{x}$ = 9( $3^{x}$ ) - 1( $3^{x}$ ) = 8( $3^{x}$ )

$3^{x + 2}$ - $3^{x}$ = $\frac{8}{9}$

⇒ 8( $3^{x}$ ) = $\frac{8}{9}$

⇒ $3^{x}$ = $\frac{1}{9}$ <em>multiplied both sides by 8</em>

⇒ $3^{x}$ = $\frac{1}{3^{2} }$

⇒ $3^{x}$ = 3⁻²

⇒ x = -2

Answer: x = -2

6 0

2 years ago

Please help fast:(((

Airida [17]

At the bottom of the motion: The potential energy of the spring is at a maximum since the spring is stretched at its maximum extension. The potential energy due to gravity is at a minimum, since the mass is lifted the least amount above ground.

3 0

2 years ago

<img src="https://tex.z-dn.net/?f=f%28x%29%20%3D%20%E2%88%923x2%E2%88%9211x%2B7" id="TexFormula1" title="f(x) = −3x2&minus

bixtya [17]

Answer:

$x= \frac{ - 11 + \sqrt{205} }{6} \: \: \: \: \: or \: \: \: \: \\x = \frac{ - 11 - \sqrt{205} }{6}$

Step-by-step explanation:

$- 3x {}^{2} - 11x + 7 = 0 \\ 3x {}^{2} + 11x - 7 = 0$

here,

$a = 3 \\ b = 11 \\ c = - 7$

now,

$D = b {}^{2} - 4ac \\ = (11) {}^{2} - 4(3)( - 7) \\ = 121 + 84 \\ = 205 > 0 \\$

so,

$x = \frac{ - b + - \sqrt{b {}^{2} - 4ac} }{2a} \\ \\ = \frac{ - 11 + - \sqrt{205} }{2(3)} \\ = \frac{ - 11 + - \sqrt{205} }{6} \\ \\ = \frac{ - 11 + \sqrt{205} }{6} \: \: \: \: \: or \: \: \: \: = \frac{ - 11 - \sqrt{205} }{6}$

4 0

2 years ago

Diego is 59.5 inches tall. His brother is 40.125 inches tall. How much taller than his brother is Diego?

Paha777 [63]

Answer:

Hello!!

Diego is 59.5 inches tall. His brother is 40.125 inches tall. How much taller than his brother is Diego?

Diego is 19.375 inches taller than his brother.

Step-by-step explanation:

$59.5-40.125=19.375$

Hope this helps!!

6 0

2 years ago

Use Newton's method to find all solutions of the equation correct to six decimal places. (Enter your answers as a comma-separate

Nata [24]

Answer:

x ≈ {0.653059729092, 3.75570086464}

Step-by-step explanation:

A graphing calculator can tell you the roots of ...

f(x) = ln(x) -1/(x -3)

are near 0.653 and 3.756. These values are sufficiently close that Newton's method iteration can find solutions to full calculator precision in a few iterations.

In the attachment, we use g(x) as the iteration function. Since its value is shown even as its argument is being typed, we can start typing with the graphical solution value, then simply copy the digits of the iterated value as they appear. After about 6 or 8 input digits, the output stops changing, so that is our solution.

Rounded to 6 decimal places, the solutions are {0.653060, 3.755701}.

_____

A similar method can be used on a calculator such as the TI-84. One function can be defined a.s f(x) is above. Another can be defined as g(x) is in the attachment, by making use of the calculator's derivative function. After the first g(0.653) value is found, for example, remaining iterations can be g(Ans) until the result stops changing,

7 0

3 years ago