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3 years ago

Count the possible combinations of 3 letters chosen from A, B, C, D. The possible combinations of 3 letters are __.

Mathematics

2 answers:

anygoal [31]3 years ago

8 0

Answer:

Step-by-step explanation:

We are given the letters:

We write the possible permutations of 3 letters from the given list:

Because order is not important in a combination we cross out the duplicate pairs:

siniylev [52]3 years ago

6 0

Answer:

Step-by-step explanation:

n! / r!(n-r)!

n = # of total objects

r = # grouped together at a time

4! / 3!(4-3)!

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Convert Зcis 180° to rectangular form.<br> А. -3<br> в. -3i<br> с. з<br> D. Зі.

Sunny_sXe [5.5K]

Answer:

-3

Step-by-step explanation:

$3 cis(180^\circ)$ means $3(\cos(180^\circ)+i \sin(180^\circ))$

What is the $x$ -coordinate value that corresponds to $\theta=180^\circ$ . That value is -1.

What is the $y$ -coordinate value that corresponds to $\theta=180^\circ$ . That value is 0.

So this implies $\cos(180^\circ)=-1 \text{ and } \sin(180^\circ)=0$ .

$3 cis(180^\circ)$

$3(\cos(180^\circ)+i \sin(180^\circ))$

$3(-1+i (0))$

$3(-1+0)$

$3(-1)$

$-3$

5 0

3 years ago

What is the y-value of the vertex of the function f(x)=−(x−3)(x+11)? −8 −4 33 49

alisha [4.7K]

Answer:

y - value of the vertex is 49.

Step-by-step explanation:

Given function is f(x) = -(x - 3)(x + 11)

f(x) = -(x² - 3x + 11x - 33)

= -(x² + 8x - 33)

= -(x² + 8x + 16 - 49)

= -[(x + 4)² - 49]

= -(x + 4)² + 49

Comparing this equation with the vertex form of a quadratic function,

f(x) = -(x - h)² + k

Where (h, k) is the vertex of the function.

Vertex of the parabola is (-4, 49)

Therefore, y-value of the vertex is 49.

4 0

3 years ago

Read 2 more answers

What is the recursive formula for this sequence . 10,14,18,22,26

Marrrta [24]

add 4 each time

the nth term is a_n or f(n)

the next term after that is a_{n+1} or f(n+1)

so each term is 4 more than previous

basically

a_{n+1}=4+a_n or

f(n+1)=4+f(n)

same thing

4 0

3 years ago

Read 2 more answers

Select True or False for each statement. 16.32 rounded to the nearest whole number is 16 feet per second. ? 16.32 rounded to the

Maurinko [17]

Answer:

a)16.32 rounded to the nearest whole number is 16 feet per second? True

b) 16.32 rounded to the nearest tenth is 16.3.? True

c) 16.32 rounded to the nearest hundredth is 16.33. ? False

Step-by-step explanation:

Select True or False for each statement.

a) 16.32 rounded to the nearest whole number is 16 feet per second. ?

16.32 to nearest whole number = 16 feet per second. This statement above is true.

b) 16.32 rounded to the nearest tenth is 16.3. ?

The number in the tenth position is 3, the number after it is 2.

Hence, 16.32 to the nearest tenth = 16.3

Hence, the above statement is true.

c) 16.32 rounded to the nearest hundredth is 16.33. ?

The number in the hundredth position is 2. There is no number after 2.

Hence,

16.32 to the nearest hundredth is 16.32

Hence, 16.32 rounded to the nearest hundredth is 16.33 is a false statement.

5 0

2 years ago

Can someone help me do this

stealth61 [152]

Answer:

False.

Step-by-step explanation:

The ratio is 1:500, which means that the model will be 500 times smaller than the real deal.

The real airplane is 50 metres, or 5,000 centimetres. The model is 50 cm. 5,000 / 50 = 1,000 / 10 = 100 / 1 = 100. Since 100 is NOT equal to 500, the answer is false.

Hope this helps!

3 0

3 years ago