Which ordered pair (x, y) can be added to the table so that y is still a function of x?

WILL GIVE BRAINLIEST! Alice, Bob, and Carrie can all choose a number from 1 to 10 (inclusive).

Viefleur [7K]

Answer:

(a) 720

(b) 180

Step-by-step explanation:

We are given 10 numbers (1,2,3,4,.....,10).

(a) 3 unique numbers are to be chosen by Alice, Bob and Carrie.

Number of ways to choose the 1st number = 10

Number of ways to choose the 2nd number = 9 (1 number chosen earlier can't be chosen again)

Number of ways to choose the 3rd number = 8 (2 numbers chosen earlier can't be chosen again)

Total number of ways of choosing 3 unique numbers = $10 \times 9 \times 8 \Rightarrow 720$

(b)

Number of ways of choosing 1st number = 10 (no restrictions)

Number of ways of choosing 2nd number = 9 (1 number chosen earlier can't be chosen again)

Now, restriction on the 3rd number to be chosen is that one of the two already chosen number should be chosen again.

So, number of ways to choose 3rd number = 2

the number of ways they can choose their numbers if they have to choose exactly two different numbers among all three people =

$10 \times 9 \times 2 \Rightarrow 180$

Hence, the answers are:

(a) 720

(b) 180

4 0

4 years ago

A thermometer is removed from a room where the temperature is 70 F and is taken outside where the air temperature is 10 F. After

Dafna11 [192]

This question is the application of differential eqns in order to derive a model for the temperature dependence with time. Actually, a general equation has already been derived for this type of cases. This equation is known as the Newton's Law of Cooling. The equation is

(T - Ts) / (To -Ts) = e^(-kt)

where T is the the temperature at any time t
Ts is the surrounding temperature
To is the initial temperature
k is the constant
t is the time

several assumptions have been made to arrive at this form, i suggest you trace the derivation of the general formula.

First we need to look for k using the initial conditions that is @t = 1.5 min, T = 50 F

substituting we get a k = 0.2703

therefore @ t = 1 min, T = 55.79 F

@ T = 15 F the time required is 9.193 min.

7 0

4 years ago

A gardener is planting two types of trees. Type A is three feet and grows at a rate of 15 inches per year. Type B is four feet t

4vir4ik [10]

Answer:

2.4 years

Step-by-step explanation:

We can write two equations for each Type and equate and solve for unknown variable.

First, we need to make the initial height (in ft) to inches.

3 feet = 3 * 12 = 36 inches

4 feet = 4 * 12 = 48 inches

Let "t" be the number of years

For Type A, the equation would be:

36 + 15t [36 inches already and 15 inches per year]

For Type B, the equation would be:

48 + 10t [48 inches and 10 inches per year]

Now we equate and solve for "t", the time when both are same height:

$36 + 15t = 48 + 10t\\15t-10t=48-36\\5t=12\\t=\frac{12}{5}\\t=2.4$

Hence, after 2.4 years, both trees' heights would be same

7 0

4 years ago

A parking lot has sixty parking spaces numbered from 1 to 60. There are no cars in the parking lot when Jillian pulls in and ran

gogolik [260]

Answer:

Step-by-step explanation:

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4 0

3 years ago

Can someone help me with this math question.

Veronika [31]

Answer:

which math question

u didnt provide any

Step-by-step explanation:

7 0

4 years ago

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