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4 years ago

What is 3√20 - 3√45 + 5√12 in simplest radical form? Show all work.

Mathematics

1 answer:

lesya692 [45]4 years ago

8 0

Answer: -3√5 + 10√3

Step 1: Find the prime factorization of the number inside the radical.

Step 2: Determine the index of the radical. In this case, the index is two because it is a square root, which means we need two of a kind.

Step 3: Move each group of numbers or variables from inside the radical to outside the radical. In this case, the pair of 2’s and 3’s moved outside the radical.

Step 4: Simplify the expressions both inside and outside the radical by multiplying.

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If dy/dx=4y and y=4 when x=0, then y=. A) 4e^4x. B) e^4x. C) 3+e^4x. D) 4+e^4x. e) 2x^2+4

aliina [53]

Hello,

dy/dx=4==>dy/y=4dx==>ln(y)=4x+C
==>y=k*e^(4x)
if x=0 y=4==>4=k*e^(4*0)==>k=4

==>y=4*e^(4x)

Answer A (with parenthesis!!!)

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3 years ago

Assuming z is positive, which of the following is equivalent to the expression (z3−−√7)8?

andreev551 [17]

Answer:

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4 years ago

Let x be a random variable from a binomial distribution with n = 40 and p = 0.9. If a normal approximation is appropriate, give

Dvinal [7]

Answer:

Step-by-step explanation:

Given that x is a random variable from a binomial distribution with n = 40 and p = 0.9.

We find that mean = np= 36 and variance = npq = 3.6

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When we approximate binomial to normal we say

X' is Normal with mean = 36 and std dev = 1.897

X' is N(36, 1.897)

Note:

The condition for binomial approximating to normal is p should be close to 1/2

Here p is 0.9 and also nq=4 is very small.

So normal approximation may not give accurate results.

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4 years ago

∠A and \angle B∠B are vertical angles. If m\angle A=(3x-30)^{\circ}∠A=(3x−30)

Yuki888 [10]

Answer:

$x=21\textdegree$

Step-by-step explanation:

So we know that:

$\angle A=3x-30 \text{ and}\\\angle B=2x-9$

And that the two angles are vertical angles.

Since they are vertical angles, their measurements are equivalent. Thus, to find x, set the equations equal to each other:

$\angle A=\angle B\\(3x-30)=(2x-9)$

Now, solve for x. Add 30 to both sides. The left side cancels:

$(3x-30)+30=(2x-9)+30\\3x=2x+21$

Now, subtract 2x from both sides. The right cancels:

$(3x)-2x=(2x+21)-2x\\x=21$

Thus, the value of x is 21.

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4 years ago

Which of the following numbers is divisible by 3, 5, and 10? OA) 15 B) 20 OC) 25 OD) 30

Sindrei [870]

Answer:

30 is the correct answer because 3times 10 =30 5 times 6 is 30 and 10 times3 is also 30

7 0

3 years ago