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2 years ago

191.0 Find the number with the given prime factorization. 23. 2 X 2 X 5 X 7 X 11

Mathematics

2 answers:

Vlada [557]2 years ago

8 0

Answer: 1540

Explanation: Just multiply or use a calculator. The prime factorization is all the prime factors, meaning you can multiply all of them to get the original number.

LenaWriter [7]2 years ago

5 0

The answers is 1,540

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Does anyone know how to do this?? steps are helpful but not necessary

aniked [119]

Answer:

C. $\frac{2(x+16)}{x+4}$

Step-by-step explanation:

We want fg of x, so first we have to multiply f(x) times g(x).

$\frac{x+16}{x} * \frac{2x}{x+4}$

$\frac{(x+16)2x}{x(x+4)}$

$\frac{2x^{2}+32x}{x^{2}+4x}$

We can cancel out an x from every term.

$\frac{2x+32}{x+4}$

Let's rewind a little to get this into one of the answer choices.

$\frac{2(x+16)}{x+4}$ is our answer.

6 0

3 years ago

Jack looks at a clock tower from a distance and determines that the angle of elevation of the top of the tower is 40°. John, who

zmey [24]

Answer:

18.7939 m

Step-by-step explanation:

-Let x be the distance between John and clock tower.

-Let y be the vertical distance from the eyes of the two men standing to the top of the clock tower.

#Taking the right triangle ACD:

$\Tan \ theta=\frac{Perpendicular \ Height}{Base}\\\\Tan \ 60\textdegree=\frac{y+1.5}{x}\\\\y=x \ Tan \ 60\textdegree -1.5$

#Taking the right triangle ABD:

$\Tan \ theta=\frac{Perpendicular \ Height}{Base}\\\\Tan \ 40\textdegree=\frac{y+1.5}{x+20}\\\\y=(x+20)\ Tan \ 40\textdegree -1.5$

#We equate the two yo solve for x and y;

$(x+20)\ Tan \ 40\textdegree -1.5=x\ Tan \ 60\textdegree -1.5\\\\(x+20)\ Tan \ 40\textdegree=x\ Tan \ 60\textdegree\\\\0.8391x+16.7820=1.7321x\\\\x=18.7939$

Hence, John's distance from the tower's base is 18.7939 m

8 0

2 years ago

Determine if the events A and B are independent. Show all steps.

zmey [24]

Answer:

$P(A U B ) = \frac{13}{25}$

Step-by-step explanation:

STEP:-1

Given that events A and B are independent then

P(A ∩B ) = P(A) P(B)

Given that P(A) = 2/5 and P(B) = 1/5

STEP:- 2

P(A ∩B ) = P(A) P(B)

$P(A U B) = P(A) +P(B) - P(A n B )$

$P(A U B ) = P(A) +P(B) - P(A) P(B)$

Step(iii):-

$P(A U B ) = \frac{2}{5} +\frac{1}{5} - \frac{2}{5} X \frac{1}{5}$

$P(A U B ) = \frac{3}{5} - \frac{2}{5} X \frac{1}{5}$

$P(A U B ) = \frac{3}{5} - \frac{2}{25}$

$P(A U B ) = \frac{15-2}{25} = \frac{13}{25}$

4 0

2 years ago

The formula for the nth square number is S_n = n^2. Use the formula to find the 11th square number.

Klio2033 [76]

Answer:

121.

Step-by-step explanation:

$S_{11} = 11^{2} = 121.$ So, the 11th square number is 121.

4 0

3 years ago

Macbeth and lady macbeth's "roles in the murder" of king duncan. how do these roles inform the kind of characters they are?

Stells [14]

Lady Macbeth's role in the murder of King Duncan lets you know immediately that this character is manipulative and cutthroat and is always willing to seize any opportunity for power. Unlike her husband who desires power but does not have the wherewithal to seize unless he believes he has some noble purpose to do so and this lets the reader know that he is gullible and cowardly.

8 0

2 years ago