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defon
3 years ago
14

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

=

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Hope it helps you make me brainliest plz

6 0
2 years ago
If f(x) = 3 ^ x - 7 and g(x) = x ^ 2 + 11 , the value of f(2) - g(7) is:
Maurinko [17]

Answer:

The value of f(2) - g(7)=-58

Step-by-step explanation:

We have

f(x) = 3 ^ x - 7\\\\f(2) = 3 ^ 2 - 7\\\\=9-7\\\\=2\\\\g(x) = x ^ 2 + 11\\\\g(7) = 7 ^ 2 + 11\\\\=49+11\\\\=60\\\\f(2) - g(7)=2-60\\\\=-58

4 0
3 years ago
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