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2 years ago

5

A rectangular prism has a total surface area of $56.$ Also, the sum of all the edges of the prism is $60.$ Find the length of th

e diagonal joining one corner of the prism to the opposite corner.

1 answer:

Helen [10]2 years ago

4 0

Don’t know but hope you have a good day

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According to the Rational Root Theorem, which number is a potential root of f(x) = 9x8 + 9x6 – 12x + 7?

notsponge [240]

<u>Answer-</u>

$\boxed{\boxed{\frac{7}{3}}}$

<u>Solution-</u>

Rational Root Theorem-

$f(x)=a_nx^n+a_{n-1}x^{n-1}+a_{n-2}x^{n-2}+.......+a_1x+a_0\ \ \ and\ a_n\neq 0$

All the potential rational roots are,

$=\pm (\dfrac{\text{factors of}\ a_0}{\text{factors of}\ a_n})$

The given polynomial is,

$f(x) = 9x^8 + 9x^6-12x + 7$

Here,

$a_n=9,\ a_0=7\\\\\text{factors of}\ 9=1,3,9\\\\\text{factors of}\ 7=1,7$

The potential rational roots are,

$=\pm \frac{1}{1},\pm \frac{1}{3}, \pm \frac{1}{9}, \pm \frac{7}{1}, \pm \frac{7}{3}, \pm \frac{7}{9}$

$=\pm 1,\pm \frac{1}{3}, \pm \frac{1}{9}, \pm 7, \pm \frac{7}{3}, \pm \frac{7}{9}$

From, the given options only $\frac{7}{3}$ satisfies.

6 0

3 years ago

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Russ' checking account charges an $11.25 monthly service fee and a $0.22 per-check fee. If Russ writes 14 checks per month, shou

masya89 [10]

Yes,because that is $3.03 higher than what he is receving right now so that will be an accelent option:)

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3 years ago

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At an animal shelter there are 15 dogs 12 cats 3 snakes and 5 parakeets what percent less parakeets are there than dogs

vlabodo [156]

About 29%
hope it helps

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3 years ago

A binomial experiment has the given number of trials N and the given success probability P.

yan [13]

The probability of the success will be 0.3826.

<h3>What is binomial distribution?</h3>

Bernoulli's trials are those trials which end up randomly either on success (with probability p) or on failures (with probability 1- p = q (say))

The probability that out of n trials, there'd be x successes is given by

$\rm P(x) = \: ^nC_xp^x(1-p)^{n-x}$

We have

n = 8

p = 0.1

q = 1 – 0.1 = 0.9

x = 1

Then we have

P(1) = ⁸C₁ x (0.1)¹ x (0.9)⁷

P(1) = 0.3826

Learn more about binomial distribution here:

brainly.com/question/13609688

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2 years ago

Kaya buys a $20 phone card. She is charged $.15 per minute for

marshall27 [118]

$1.50 because 0.15 x 10 is 1.50

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2 years ago