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1 year ago

8

What is the difference between solving inequalities from equations

1 answer:

AVprozaik [17]1 year ago

4 0

Answer:

An equation is a mathematical statement that shows the equal value of two expressions while an inequality is a mathematical statement that shows that an expression is lesser than or more than the other. 2. An equation shows the equality of two variables while an inequality shows the inequality of two variables.

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Write an expression in simplest form for the perimeter of a right triangle with leg lengths of 3a cubed and 4a cubed

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Answer:

106.4622 $a^{3}$

Step-by-step explanation:

Given the information:

A right triangle

Leg lengths of $(3a)^{3}$ and $(4a)^{3}$

Use the pytagon theory to find the hypotenuse of the triangle

$a^{2} + b^{2} = c^{2}$

<=> $((3a)^{3}) ^{2} + ((4a)^{3}) ^{2} = c^{2}$

<=> $(3a)^{6} + (4a)^{6} = c^{2}$

<=> $c^{2} = 4285a^{6}$

Take the square root of both sides

<=> c = 69.4622 $a^{3}$

=> expression in simplest form for the perimeter of a right triangle is:

$(3a)^{3}$ + $(4a)^{3}$ + 69.4622 $a^{3}$

= 27 $a^{3}$ + 64 $a^{3}$ + 69.4622 $a^{3}$

= 106.4622 $a^{3}$

8 0

2 years ago

Researchers have discovered a new genetic marker for a form of cancer. Twelve percent of the overall population carry this marke

In-s [12.5K]

Answer:

The probability that a person with the marker develops cancer is 0.0725.

Step-by-step explanation:

Let's denote the events as follows:

<em>A</em> = a person has cancer

<em>B</em> = a person carries the marker.

<u>Given:</u>

P (A) = 0.03

P (B) = 0.12

P (B|A) = 0.29

The conditional probability of an event <em>X</em> provided that another event <em>Y</em> has already occurred is:

$P(X|Y)=\frac{P(Y|X)P(X)}{P(Y)}$

Use the conditional probability formula to compute the probability that a person with the marker develops cancer.

$P(A|B)=\frac{P(B|A)P(A)}{P(B)} =\frac{0.29\times0.03}{0.12}=0.0725$

Thus, the probability that a person with the marker develops cancer is 0.0725.

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2 years ago

Divide the following rational expressions and simplify the result. -15/2k^5 ÷ 5/6k^5= ?

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Answer:

-9

Step-by-step explanation:

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2 years ago

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Ardie bought 854 acres of land for development. If 62 acres of his purchase is reserved for a park, how many three-acre building

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854-62=792. Ardie has 792 arcres of land left. 792/3= 264. He has 264 3-acre lots available.

I hope my answer helps!

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2 years ago

Find the equation of the linear function represented by the table below in slope-

kramer

Answer:

y=3x+7

Step-by-step explanation:

take two points, (1,13) (2,19)

subtract using slope formula

19-13 2-1= 6/1 -> 6-> 3

find your y intercept (b) by using the first term in the 7 row (7)

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2 years ago

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