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3 years ago

Simplify the following expression. √49^8

Mathematics

1 answer:

hoa [83]3 years ago

7 0

Answer:

First calculate 49^8

Then take the square root of that answer.

Final answer is 5,764,801

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Find the greatest common factor of the following monomials monomials 44a3 4a

Anika [276]

Hey there :)

44a³ and 4a

Let us do the numbers and variables separately

44 and 4 are both multiples of each other
Therefore, the GCF is 4

a³ and a, a will be the GCF since a³ is not present on both

Finally, 4a will be the GCF

5 0

3 years ago

Calculate the shaded region

Nikitich [7]

Answer:

196 cm²-153.9375 cm² = 42.0625 cm ²

Step-by-step explanation:

First, solve for the whole 14^2 = 196 cm²

Now, we know it's lenths are the same so it's a square.

Lastly we need to deduct the quarter circle in the square. Use Formula A=πr² = A≈615.75 cm² /4 = 153.9375 cm²

5 0

3 years ago

Finding an Indefinite Integral dx/x(lnx^2)^3

Y_Kistochka [10]

Step-by-step explanation:

Firstly, we'll try to simplify the integrand. By hint 1, we see that:

$\ln(x^2) = 2\ln(x)$

Simplifying the integrand gives us:

$\frac{1}{8}\left(\frac{1}{x(\ln(x))^3}\right)$

Next, by hint 2, we observe that:

$\frac{d}{dx}\left(\ln(x)\right) = \frac{1}{x}$

So this tells us to make the substitution: $u = \ln(x)$

Doing so gives us:

$\int \frac{dx}{x(ln(x^2))^3} = \int \frac{du}{8u^3}$ , which should be trivial.

3 0

4 years ago

WILL GIVE BRAINLIEST PLZ HELP<br><br> Is the second picture right? (the new line is the blue one)

beks73 [17]

AnsweIt should be right

Step-by-step explanation:

5 0

3 years ago

Suppose SAT Writing scores are normally distributed with a mean of 498 and a standard deviation of 108. A university plans to aw

Katen [24]

Answer: 687

Step-by-step explanation:

normally distributed

μ = 498

σ = 108

Top 4%

P(X > a) = 0.04

P(Z > a-498/108) = 0.04

Using the table attached, for the top 4%:

0.50 - 0.04 = 0.46

a-498/108 = 1.75

a-498 = 189

a = 687

The minimum score for the scholarship is 687.

5 0

4 years ago