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3 years ago

10

A fraction reduces to 36 if its numerator is (6x)^5 what is it’s denominator

1 answer:

beks73 [17]3 years ago

7 0

Set up an equation:

Numerator is the top number and denominator is the bottom number in a fraction.

(6x)^5 / d = 36

(6x)^5 can be rewritten as 6^5x^5

6^5x^5 / d = 36

Raise 6 tot he power of 5:

7776x^5 /d = 36

Multiply both sides by d:

7776x^5 = 36d

Divide both sides by 36:

d = 7776x^5 / 36

d = 216x^5

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If f(x) = 2x - 4 and g(x) = x^2+3, find each value.<br><br> 19. (f - g)(x)<br> 20. (f • g)(x)

just olya [345]

Step-by-step explanation:

$(f - g)(x) = f(x) - g(x) \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = (2x - 4) - ( {x}^{2} + 3) \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 2x - 4 - {x}^{2} - 3 \\ \red{ \boxed{\therefore (f - g)(x) = - {x}^{2} + 2x - 7}}$

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3 years ago

A magician asks two volunteers to each draw a card from a standard deck of cards. What is the probability that the first card is

mars1129 [50]

Answer:

6.37%

Step-by-step explanation:

A deck of cards have 52 cards. There are 4 suits of 13 card each, those suits are Hearts, Clubs, Diamond and Spades.

The probability that the first card is a heart is:

$P(Hearts) = \frac{13}{52}$

Now, the probabily that the second card is a diamond is:

$P(Diamond | First card is Heart) = \frac{13}{51}$

The Probability that the first card is a heart and the second one a diamond is given by:

$P(Hearts)$ × $P(Diamond | First card is Heart)$

$= \frac{13}{52}\frac{13}{51}$

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4 0

3 years ago

Read 2 more answers

I need to know how to do these asap!!

ludmilkaskok [199]

Answer:

Step-by-step explanation:

y =4/3 x+4

slope intercept form

y = mx+b

the y intercept is 4 (0,4)

and the slope is 4/3 which is change in y over change in x

we go up 4 to the right 3

we can rewrite the slope as -4/-3

so we can go down 4 and to the left 3

this would be point (-3,0)

we have 2 points marked, now draw a line throught them

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3 years ago

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Tanya [424]

Answer:

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3 years ago

Find the surface area of the figure?

motikmotik

Step-by-step explanation:

the surface area consists of 6 individual areas :

front and back (both are equal)

left and right (both are equal)

top and bottom

front and back are trapezoids.

the area of a trapezoid is

(base 1 + base 2)/2 × h

the bases are the 2 parallel sides.

in our case the area of one trapezoid is

(5 + 19)/2 × 12.1 = 145.2 ft²

front and back together then are 290.4 ft².

left and right are 8×14 rectangles:

8×14 = 112 ft²

together they are 224 ft².

the bottom is a 5×8 rectangle :

5×8 = 40 ft²

the top is a 19×8 rectangle :

19×8 = 152 ft²

so, the total surface area is

290.4 + 224 + 40 + 152 = 706.4 ft²

4 0

2 years ago