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2 years ago

11

99.73-63.434 rounded to the nearest whole number

1 answer:

Bingel [31]2 years ago

6 0

<span>99.73-63.434 =
</span>36.296
Round this to the nearest whole number
= 36

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A geometric series has second term 375 and fifth term 81 . find the sum to infinity of series .

Eduardwww [97]

Answer: $\bold{S_{\infty}=\dfrac{3125}{2}=1562.5}$

<u>Step-by-step explanation:</u>

a₁, 375, a₃, a₄, 81

First, let's find the ratio (r). There are three multiple from 375 to 81.

$375r^3=81\\\\r^3=\dfrac{81}{375}\\\\\\r^3=\dfrac{27}{125}\qquad \leftarrow simplied\\\\\\\sqrt[3]{r^3} =\sqrt[3]{\dfrac{27}{125}}\\ \\\\r=\dfrac{3}{5}$

Next, let's find a₁

$a_1\bigg(\dfrac{3}{5}\bigg)=375\\\\\\a_1=375\bigg(\dfrac{5}{3}\bigg)\\\\\\a_1=125(5)\\\\\\a_1=625$

Lastly, Use the Infinite Geometric Sum Formula to find the sum:

$S_{\infty}=\dfrac{a_1}{1-r}\\\\\\.\quad =\dfrac{625}{1-\frac{3}{5}}\\\\\\.\quad =\dfrac{625}{\frac{2}{5}}\\\\\\.\quad = \dfrac{625(5)}{2}\\\\\\.\quad = \large\boxed{\dfrac{3125}{2}}$

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3 years ago

Simplify the polynomial.<br> 3x2 – 2x + 4x2 – X+X

AleksandrR [38]

Answer:

$7x^{2} - 2x$

Step-by-step explanation:

combine like terms. not trying to be mean, but that all you have to do.

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2 years ago

Read 2 more answers

In a chess club the probability that Shaun will beat Mike is 3/8 .

romanna [79]

Answer:

$\frac{10}{56} = 0.1786$ probability that Shaun loses both games

Step-by-step explanation:

Games are independent, so we find each separate probability, and multiply them.

In a chess club the probability that Shaun will beat Mike is 3/8.

So $1 - \frac{3}{8} = \frac{8}{8} - \frac{3}{8} = \frac{5}{8}$ probability that Shaun loses.

The probability that Shaun will beat Tim is 5/7 .

So $1 - \frac{5}{7} = \frac{2}{7}$ probability that Shaun loses.

What is the probability that Shaun loses both games?

This is:

$p = \frac{5}{8} \times \frac{2}{7} = \frac{5*2}{8*7} = \frac{10}{56} = 0.1786$

$\frac{10}{56} = 0.1786$ probability that Shaun loses both games

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3 years ago

(<br> x<br> M<br> ,<br> y<br> M<br> )<br> = (2, -8)

Alexeev081 [22]

Answer:

(xM,yM)=(2,−8)

Step-by-step explanation:

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3 years ago

Which is the graph of f(x)=|x| reflected across the x-axis, translated 3 units left,4 units up and dilated by a factor of 4?

spin [16.1K]

Answer:

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Step-by-step explanation:

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2 years ago