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3 years ago

Which expression is equivalent to √ -80?

Mathematics

1 answer:

oksian1 [2.3K]3 years ago

3 0

<h3>Answer: Choice C</h3><h3>which is the expression 4*sqrt(5)*i, where i = sqrt(-1)</h3>

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Explanation:

Factor -80 in such a way where we pull out -1 and we also factor out the largest perfect square possible. In this case, it would be 16 because 80 = 16*5. So this means -80 = -1*16*5 which leads to...

sqrt(-80) = sqrt(-1*16*5)

sqrt(-80) = sqrt(-1)*sqrt(16)*sqrt(5)

sqrt(-80) = i*4*sqrt(5)

sqrt(-80) = 4i*sqrt(5)

sqrt(-80) = 4*sqrt(5)*i

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Two towers make up the Vertical Forest. One is 76 meters tall, and the other is 111 meters tall. How many feet taller is the hig

prisoha [69]

Answer: 114.8

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2 years ago

Two-thirds of the T-shirts in a T-shirt shop are blue. Three-fifths of those T-shirts are on sale. One-half of the blue T

katrin2010 [14]

Let, total number of T-shirts are x.

Number of blue T-shirts = (2/3)x = 2x/3 .

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Hence, this is the required solution.

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3 years ago

25 POINTS!!!!!!

8_murik_8 [283]

Your anwer is C)<span>f(x) = 467(5 to the one fourth power)4x</span>

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3 years ago

Read 2 more answers

The comprehensive strength of concrete is normally distributed with μ = 2500 psi and σ = 50 psi. Find the probability that a ran

VARVARA [1.3K]

Answer:

The probability that the diameter falls in the interval from 2499 psi to 2510 psi is 0.00798.

Step-by-step explanation:

Let's define the random variable, $X =$ "Comprehensive strength of concrete". We have information that $X$ is normally distributed with a mean of 2500 psi and a standard deviation of 50 psi (or a variance of 2500 psi). In other words, $X \sim N(2500, 2500)$ .

We want to know the probability of the mean of X or $\bar{X}$ that falls in the interval $[2499;2510]$ . From inference theory we know that :

$\bar{X} \sim N(2500, \frac{2500}{5}) \Rightarrow \bar{X} \sim N(2500,500)$

Now we can find the probability as follows:

$P(2499 \leq \bar{X} \leq 2510) \Rightarrow P(\frac{2499 - 2500}{500} \leq \frac{\bar{X} - 2500}{500} \leq \frac{2499 - 2500}{500} ) \Rightarrow\\\Rightarrow P(-0.002 \leq \frac{\bar{X} - 2500}{500} \leq 0.02 ) \Rightarrow P(-0.002 \leq Z \leq 0.02 )$

Where $Z \sim N(0,1)$ , then:

$P(-0.002 \leq Z \leq 0.02 ) \approx P(0 \leq Z \leq 0.02 ) = P(Z \leq 0.02 ) - P(Z \leq 0) \\P(0 \leq Z \leq 0.02 ) = 0.50798 - 0.5 = 0.00798$

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3 years ago

Plsss help it’s due today in an hour!!! (test grade)

Rudik [331]

Answer:

the area is 50.24 $cm^{2}$ .

Step-by-step explanation:

The formula to find area of a circle is A=π $r^{2}$ . A is area, and r is for radius. Since we have the diameter here, we just need to divide by 2 to find the radius. 8÷2=4, so there, the radius is 4. Now we need to square 4, and do 4x4, which equals 16. Now to multiply 16 by π, or 3.14. 16 x 3.14 = 50.24. The final answer is 50.24 $cm^{2}$ . Hope this helped! :]

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3 years ago