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SpyIntel [72]
1 year ago
11

A restaurant offers a special pizza with any 5 toppings. if the restaurant has 16 topping from which to choose, how many differe

nt special pizzas are possible?
Mathematics
1 answer:
Mariana [72]1 year ago
5 0

By permutation without repetition, there are 524160 possible different special pizzas.

The possible special pizzas can be calculated with permutation without repetition. The formula of permutation without repetition can be written as

P = n! / (n - k)!

where P is all of the possible combinations, n is the number of objects or elements, and k is how many numbers should be chosen.

From the question above, we know that :

n = 16

k = 5

By substituting the parameters, we can determine all of the possible different pizzas

P = n! / (n - k)!

P = 16! / (16 - 5)!

P = 16! / 11!

P = 16 x 15 x 14 x 13 x 12 x 11! / 11!

P = 524160

Hence, there are 524160 possible different special pizzas

Find out more on permutation without repetition at: brainly.com/question/1216161

#SPJ4

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Which exponential function goes through the points (1, 16) and (4, 128)?
djyliett [7]

Answer:

Here is the complete question (attachment).

The function which represent the given points are f(x)=8(2)^{x}

Step-by-step explanation:

We know that a general exponential function is like,y=a(b)^{x}

We can find the answer by hit and trial method by plugging the values of (x,y) coordinates.

Here we are going to solve this with the above general formula.

So as the points are (1,16) then for x=1,\ y=16

Can be arranged in terms of the general equation.

ab^1=16...equation(1) and ab^4=128...equation(2)

a\times b=16, then\ a=\frac{16}{a}

Plugging the values in equation 2.

We have

\frac{16}{b} b^4=128,16\times b^3=128,b=\sqrt[3]{\frac{128}{16}} =\sqrt[3]{8}=2

Plugging b=2 in equation 1.

We have a=\frac{16}{b} =\frac{16}{2} =8

Comparing with the general equation of exponential a=8 and b=2

So the function which depicts the above points =y=8(2)^x

From theoption we have B as the correct answer.

7 0
4 years ago
PLEASE HELP ME!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Lorico [155]

Answer:

Step-by-step explanation:

9 is 39

6 0
3 years ago
Find two consecutive even integers such that twice the smaller is 26 less than. 3 times the smaller
Hoochie [10]

Answer:

Two consecutive even integers are 32 and 34.

Step-by-step explanation:

Let the two consecutive even integers are x and x+2.

ATQ,

Twice the smaller is 26 less than. 3 times the smaller

2x = 3(x-2) -26

2x = 3x-6-26

2x = 3x -32

32 = 3x-2x

x = 32

Hence, the smaller number be 32 and larger number be x+2 = 32+2 = 34.

3 0
3 years ago
The height, h metres, of a particle at time, t seconds is given by the function:
vfiekz [6]

Answer:

It depends on what you are asked to do. See explanation.

Step-by-step explanation:

The height, h metres, of a particle at time, t seconds is given by the function:

h=(14-t)(t-2).

This means that after a given time, we can use this function to find the height of the particle.

For instance after 3 seconds, the height of the particle will be:

h=(14-3)(3-2)

This implies that:

h=11*1=11m

So after 3 seconds the height of the particle is 11 meters.

6 0
4 years ago
Given data set:
Murrr4er [49]

Answer:

mean =6, median =6.5  mode = 7

Step-by-step explanation:

mean =6, median =6.5  mode = 7

hello,

to find the mean, you add all the numbers together and divide it by the total number of numbers. so that would be 66(total sum) divided by 11 (number of numbers) to get 6.

to find the median, you would organize the numbers from least to greatest and find the middle number which is 6.5

last but not least, to find the mode, just look for the number that appears most often. Therefore, the mode would be 7.

hope this helped!

7 0
3 years ago
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