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3 years ago

What type of counting problem is this? How many different sequences of 3 playing cards (from a single 52-card deck) exist?

Mathematics

1 answer:

n200080 [17]3 years ago

7 0

Answer:

Permutation without repetition

Step-by-step explanation:

The order of the cards matter, which makes it a permutation, but since none of the cards are exactly the same, repetition isn't allowed/possible

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What is the following logarithmic equation in exponential form: <br><br> log2(x^4 -3) = 4

Harman [31]

Answer:

$2^{4}$ = $x^{4}$ - 3

Step-by-step explanation:

recall for a logrithimic expression,

$log_{b}$ (c)=a, can be expressed as $b^{a} = c$

hence for our question

$log_{2}$ [ (x^4) -3] = 4

can be expressed as

$2^{4}$ = $x^{4}$ - 3

8 0

3 years ago

determine (a) the volume and (b) the surface area of the three-dimensional figure. when appropriate, use pi key on your calculat

lawyer [7]

Answer:

$Volume = 150 yd^3$

$Surface Area = 150 yd^2$

Step-by-step explanation:

Going by the dimensions of the given three-dimensional figure, we can conclude that the figure is that of a cube. The height, length and width are equal.

Volume of a cube is given as $a^3$ , while surface area of a cube is given as $6a^2$

Where, a = the side length = 5 yards

$Volume = a^3 = 5^3$

$Volume = 150 yd^3$

$Surface Area = 6a^2 = 6(5)^2$

$Surface Area = 150 yd^2$

3 0

4 years ago

A Trapezoid has an area of 150 square feet. the Bases are 14 feet and 16 feet. write an equation to determine the height of the

JulsSmile [24]

Given:
Area = 150 square feet
Bases = 14 feet and 16 feet

Find the height of the trapezoid.

Let us use the formula of finding the Area of a trapezoid to get the value of its height.

A = (a+b)/2 * h
150 ft² = (14ft + 16ft)/2 * h
150 ft² = 15ft * h
150 ft² / 15 ft = h
10 ft = h

The height of the trapezoid is 10 feet.

8 0

3 years ago

Find the least common multiple of 16-8y and, (y-2)^2

Veronika [31]

Answer:

16-8y

=8 (2-y)

(y-2)^2

${y}^{2} - 4y + 4$