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Maurinko [17]
2 years ago
14

How many ways can Rudy choose 4 pizza toppings from a menu of 14 toppings if each topping can only be chosen once

Mathematics
1 answer:
madam [21]2 years ago
6 0

Answer:

24,024

Step-by-step explanation:

Calculation for How many ways can Rudy choose 4 pizza toppings from a menu of 14 toppings

The 4 pizza toppings from a menu of 14 toppings will be 14,13,12,11

Hence,

14*13*12*11=24,024

Therefore the numbers of way Rudy can choose 4 pizza toppings from a menu of 14 is 24,024

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25% of the student's in Mrs.Brown's class like chocolate ice cream. How many students are in her class if 6 students like chocol
Katen [24]

Answer:

24 students.

Step-by-step explanation:

25% is 1/4 of 100.

6*4= The number of students.

7 0
3 years ago
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Consider the following division of polynomials.
Bond [772]

x^4=x^2\cdot x^2. Multiplying the denominator by x^2 gives

x^2(x^2+2x+8)=x^4+2x^3+8x^2

Subtracting this from the numerator gives a remainder of

(x^4+x^3+7x^2-6x+8)-(x^4+2x^3+8x^2)=-x^3-x^2-6x+8

-x^3=-x\cdot x^2. Multiplying the denominator by -x gives

-x(x^2+2x+8)=-x^3-2x^2-8x

and subtracting this from the previous remainder gives a new remainder of

(-x^3-x^2-6x+8)-(-x^3-2x^2-8x)=x^2+2x+8

This last remainder is exactly the same as the denominator, so x^2+2x+8 divides through it exactly and leaves us with 1.

What we showed here is that

\dfrac{x^4+x^3+7x^2-6x+8}{x^2+2x+8}=x^2-\dfrac{x^3+x^2+6x-8}{x^2+2x+8}

=x^2-x+\dfrac{x^2+2x+8}{x^2+2x+8}

=x^2-x+1

and this last expression is the quotient.

To verify this solution, we can simply multiply this by the original denominator:

(x^2+2x+8)(x^2-x+1)=x^2(x^2-x+1)+2x(x^2-x+1)+8(x^2-x+1)

=(x^4-x^3+x^2)+(2x^3-2x^2+2x)+(8x^2-8x+8)

=x^4+x^3+7x^2-6x+8

which matches the original numerator.

3 0
2 years ago
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Can someone please help me with this? Thank youuu!
Lunna [17]

Answer:

1996

Step-by-step explanation:

To find the number of terms in an arithmetic sequence, divide the common difference into the difference between the last and first terms, and then add 1.

2008 - 13 = 1995 + 1 = 1996

3 0
2 years ago
PLEASE HELP ASAP 100 POINTS AND BRAINIEST<br> please solve 7y + 13 -4z when =5 and z =9.
Molodets [167]

Answer:

35+13-36

Step-by-step explanation:

35+13=48

48-36=12

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O is the centre of this circle and point Q is a point of tangency. Determine the value of t. If necessary, give your answer to t
dsp73

Answer:

Hello bozo

Step-by-step explanation:

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