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melamori03 [73]
3 years ago
5

What is the following sum? 4(5rootx2y)+3(5rootx2y)​

Mathematics
2 answers:
Serggg [28]3 years ago
7 0

Answer: Choose which answer you think fits

Step-by-step explanation:

The roots are there to confuse you. They have the exact same numbers under the radical, so you can treat it like a variable and add 4 + 3 since theyre like terms.

7(5\sqrt{x2y} ) = 35\sqrt{x2y}

If that's an x^2, bring the x out and keep the y inside the radical to get:

35x\sqrt{y}

cestrela7 [59]3 years ago
4 0

Answer:

x534

Step-by-step explanation:

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Given the following geometric sequence, find the common ratio: {3, 18, 108, ...).
vodomira [7]
Geometric sequences go up due to a common ratio. Here the common ratio can be worked out by dividing a term by its previous term e.g term 2 divided by term 1.

18/3 = 6


Therefore the common ratio is 6.
4 0
3 years ago
What is the solution to the trigonometric inequality 2sin(x)+3>sin ^2(x) over the interval
navik [9.2K]

The intervals that satisfy the given trigonometric Inequality are; 0 ≤ x < 3π/2 and 3π/2 < x ≤ 2π

<h3>How to solve trigonometric inequality?</h3>

We are given the trigonometric Inequality;

2 sin(x) + 3 > sin²(x)

Rearranging gives us;

sin²(x) - 2 sin(x) - 3 < 0

Factorizing this gives us;

(sin(x) - 3)(sin(x) + 1) < 0

Thus;

sin(x) - 3 = 0 or sin(x) + 1 = 0

sin(x) = 3 or sin(x) = -1

sin(x) = 3 is not possible because sin(x) ≤ 1.

Thus, we will work with;

sin(x) = -1 for the interval 0 ≤ x ≤ 2π radians.

Then, x = sin⁻¹(-1)

x = 3π/2.

Now, if we split up the solution domain into two intervals, we have;

from 0 ≤ x < 3π/2, at x = 0. Then;

sin²(0) - 2 sin(0) - 3

= 0² - 0 - 3

= -3 < 0

Thus, the interval 0 ≤ x < 3π/2 is true.

From 3π/2 < x ≤ 2π, take x = 2π. Then;

sin²(2π) - 2 sin(2π) - 3

= 0² - 0 - 3

= -3 < 0

Thus, the interval 3π/2 < x ≤ 2π is also true.

Read more about trigonometric inequality at; brainly.com/question/27862380

#SPJ1

3 0
2 years ago
What is the value of 30-(-45) ?
zlopas [31]
<h2>Answer:</h2>

<h3>75</h3>

<h2>Step-by-step explanation:</h2>

30 - ( - 45) \\  \\ 30 + 45 \\  \\ 75

<h2>Hope it help you </h2>

<h2>Mark me as a brain list </h2>
6 0
3 years ago
Read 2 more answers
A line passes through the origin and (3, 6). Which
Ierofanga [76]

Answer:

The answer is (2,4)

hope this is helpful :)

6 0
3 years ago
Picky Polls asked 1600 third-year college students if they still had their original major. According to the colleges, 50% of all
Reptile [31]

Answer:

The probability that less than 800 students who said they still had their original major is 0.50 or 50%.

Step-by-step explanation:

Let the random variable <em>X</em> be described as the number of third-year college students if they still had their original major.

The probability of the random variable <em>X</em> is, P (X) = <em>p</em> = 0.50.

The sample selected consisted of <em>n</em> = 1600 third-year college students.

The random variable <em>X </em>thus follows Binomial distribution with parameters n = 1600 and p = 0.50.

X\sim Bin(1600, 0.50)

As the sample size is large, i.e.<em>n</em> > 30, and the probability of success is closer to 0.50,  Normal approximation can be used to approximate the binomial distribution.

The mean of <em>X</em> is:

\mu_{x}=np=1600\times0.50=800\\

The standard deviation of <em>X</em> is:

\sigma_{x}=\sqrt{np(1-p}=\sqrt{1600\times0.50(1-0.50)}=20

It is provided that Picky Polls got less than 800 students who said they still had their original major.

Then the probability of this event is:

P(X

**Use the <em>z</em>-table for the probability.

Thus, the probability that less than 800 students who said they still had their original major is 0.50.

7 0
3 years ago
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