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3 years ago

What is the following simplified product? Assume x greater-than-or-equal-to 0

Mathematics

2 answers:

nlexa [21]3 years ago

5 0

Answer:

$10x^4\sqrt{6}+x^3\sqrt{30x}-10x^4\sqrt{3}-x^3\sqrt{15x}$

Step-by-step explanation:

Remove perfect squares from under the radicals.

$(\sqrt{10x^4}-x\sqrt{5x^2})(2\sqrt{15x^4}+\sqrt{3x^3})\\\\=(\sqrt{10x^4})(2\sqrt{15x^4}) +(\sqrt{10x^4})(\sqrt{3x^3}) -(x\sqrt{5x^2})(2\sqrt{15x^4}) -(x\sqrt{5x^2})(\sqrt{3x^3})\\\\=2\sqrt{150x^8}+\sqrt{30x^7}-2x\sqrt{75x^6}-x\sqrt{15x^5}\\\\=\boxed{10x^4\sqrt{6}+x^3\sqrt{30x}-10x^4\sqrt{3}-x^3\sqrt{15x}}$

_____

The applicable rules of exponents are ...

(x^a)(x^b) = x^(a+b)

√(a^2) = a . . . . . . . for a > 0

(√a)(√b) = √(ab)

lapo4ka [179]3 years ago

4 0

Answer:

See attached.

Step-by-step explanation:

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A rectangular box with an open top has a length of x feet, a width of y feet, and a height of z feet. it costs $4.20 per square

ozzi

To solve this problem you must apply the proccedure shown below:

1. You have that:

-The length is $x$ feet.

- The width is $y$ feet.

- The height is $z$ feet.

2. The box has one base. The cost of the base is:

$c1=4.20xy$

3. It has four sides. The cost of the sides are:

$c2=2(0.75yz)+2(0.75xy)\\ c2=1.5yz+1.5xy$

The answer is: The total cost is $c=c1+c2\\ c=4.20xy+1.5yz+1.5xy$

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3 years ago

Let’s assume that human body temperatures are normally distributed with a mean of 98.20° F and a standard deviation of 0.62° F.

uysha [10]

Answer: It is such a small percentage of the population that would be considered to have fever at that level.

So, it is not appropriate stringent standard.

Step-by-step explanation:

Since we have given that

Mean = 98.20°F

Standard deviation = 0.62°F

If Bellevue Hospital in New York City uses 100.6°F as the lowest temperature considered to be a fever.

So, $\bar{X}=100.6^\circ F$

So, using the normal distribution, we first find the value of z.

$z=\dfrac{\bar{x}-\mu}{\sigma}\\\\x=\dfrac{100.6-98.2}{0.62}\\\\z=3.87$

Since z = 3.87

So, p = 0.0001 =0.1%

So,It is such a small percentage of the population that would be considered to have fever at that level.

So, it is not appropriate stringent standard.

4 0

3 years ago

What is n-9 divided by 10=-2

DerKrebs [107]

The value of n is 11.

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

The given expression is (n-9) ÷ 10 = -2

<u>To find the value of n</u> :

From the expression, it is determined that (n-9) is the numerator and 10 is the denominator.
Cross multiply the denominator in the left side of the expression to the another side.

The expression becomes (n-9) = (10 $\times$ -2).

⇒ n-9 = -20

Keep the n term on one side and the constants on other side.

⇒ n = -20+9

⇒ n = -11

Therefore, the value of n is 11.

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2 years ago

Which of the following is an example of VOLUME

zavuch27 [327]

I believe it would be 2, how much water is used to fill a cup

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3 years ago

Simplify 36x^2/64x^2y

aniked [119]

Answer: 3/4

Step-by-step explanation:

1. square root the denominator and nominator, 36= 6 and 64= 8

2. put them together (6/8)

3. simplify 6/8

4. 6/8 divided by 2

5. 3/4 is your answer

3 0

3 years ago

Read 2 more answers