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3 years ago

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Whats the difference between me and you mom?

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Crazy boy [7]3 years ago

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I am
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Kebdra has a bag containing 15 marbles. She has 3 white, 8 red, 3 blue 1 green. She randomly picks a marble from the bag and the

prohojiy [21]

Answer:

8/15

Step-by-step explanation:

because there are 8 red marbles out of 15 marbles

5 0

3 years ago

Does (-2)^n/( 3^n+1) converge or diverge?

hodyreva [135]

$\left|\dfrac{(-2)^n}{3^n+1}\right|=\dfrac{2^n}{3^n+1}$

As $n\to\infty$ , the sequence $a_n=\left(\dfrac23\right)^n$ converges to zero.

If you're talking about the infinite series

$\displaystyle\sum_{n\ge0}\dfrac{(-2)^n}{3^n+1}$

well we've shown by comparison that this series must also converge because we know any geometric series $\sum\limits_n r^n$ will converge as long as $|r|$ .

3 0

3 years ago

Use the GCF to find a new sum for 54+48.<br> _ ( _ + _ )

Maru [420]

Answer: GCF is 6

Step-by-step explanation:

Sort them out on paper

5 0

3 years ago

Jerry has a miniature model of a boat. He knows that the boat is 3 3/4 inches wide and 5 1/2 inches long. What is the actual len

FromTheMoon [43]

Width of the miniature model = $3\frac{3}{4}$ inches

Length of the miniature model = $5\frac{1}{2}$ inches

The actual width of the boat = 15 feet

Let us find the actual length of the boat.

Write it in a proportion form.

width of model : length of model : : width of actual : length of actual

$$\Rightarrow 3\frac{3}{4}:5\frac{1}{2}::15:x$

$$\Rightarrow\frac{15}{4}:\frac{11}{2}::15:x$

$$\Rightarrow\frac{\frac{15}{4}}{\frac{11}{2}} =\frac{15}{x}$

Do cross multiplication.

$$\Rightarrow{\frac{15}{4}x =15\times\frac{11}{2}$

$$\Rightarrow{\frac{15}{4}x =\frac{165}{2}$

$$\Rightarrow x =\frac{165}{2}\times{\frac{4}{15}$

⇒ x = 22

Hence the actual length of the boat is 22 feet.

6 0

3 years ago

Find the coordinates of point P that lies along the directed line segment AB in a 2:3 ratio given A (-2, 1), B (3, 4).

saul85 [17]

Answer:

$P(x,y) = (0,\frac{11}{5})$

Step-by-step explanation:

Given

$A = (-2,1)$

$B = (3,4)$

$m:n = 2:3$

Required

Determine the coordinates of P

The coordinate of a point when divided into ratio is:

$P(x,y) = (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n})$

Where

$(x_1,y_1) = (-2,1)$

$(x_2,y_2) = (3,4)$

$m:n = 2:3$

This gives:

$P(x,y) = (\frac{2 * 3 + 3 * -2}{2 + 3},\frac{2 * 4 + 3 * 1}{2 + 3})$

$P(x,y) = (\frac{6 - 6}{5},\frac{8 + 3}{5})$

$P(x,y) = (\frac{0}{5},\frac{11}{5})$

$P(x,y) = (0,\frac{11}{5})$

5 0

3 years ago