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3 years ago

Dawn draws 1 card, replaces it, and draws another card. Is it more likely that she draws 2 red cards or 2 face cards?

Mathematics

1 answer:

Art [367]3 years ago

5 0

Two red cards pls trust

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Prove that an = 4^n + 2(-1)^nis the solution to

olga nikolaevna [1]

Answer:

See proof below

Step-by-step explanation:

We have to verify that if we substitute $a_n=4^n+2(-1)^n$ in the equation $a_n=3a_{n-1}+4a_{n-2}$ the equality is true.

Let's substitute first in the right hand side:

$3a_{n-1}+4a_{n-2}=3(4^{n-1}+2(-1)^{n-1})+4(4^{n-2}+2(-1)^{n-2})$

Now we use the distributive laws. Also, note that $(-1)^{n-1}=\frac{1}{-1}(-1)^n=(-1)(-1)^{n}$ (this also works when the power is n-2).

$=3(4^{n-1})+6(-1)^{n-1}+4(4^{n-2})+8(-1)^{n-2}$

$=3(4^{n-1})+(-1)(6)(-1)^{n}+4^{n-1}+(-1)^2(8)(-1)^{n}$

$=4(4^{n-1})-6(-1)^{n}+8(-1)^{n}=4^n+2(-1)^n=a_n$

then the sequence solves the recurrence relation.

4 0

3 years ago

2x-3= 0 and 3x-1= 0 solved please, I'LL GIVE BRAINLIEST

drek231 [11]

Answer:

1)x=1.5

2)x=0.33

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

At the city museum, child admission is $5.10 and adult admission is $9.60. On Monday, twice as many adult tickets as child ticke

galina1969 [7]

Answer:

Step-by-step explanation:

The amount of children's tickets is x, while the amount of adults' tickets is 2x

5.1*x- the amount of money from children

9.6*2x= 19.2x- the amount of money from adults

5.1x+19.2x= 558.9

x=23 - child tickets

8 0

3 years ago

2, -6, 18, __, 162, __, ...

Semmy [17]

Answer:

-54, 162, -486

Step-by-step explanation:

You multiply the number in front by -3.

2*-3=-6

-6*-3=18

18*-3=-54

-54*-3=162

162*-3=-486

-Please mark as brainliest!-

-Hope this helps!-

-Good Luck!-

7 0

3 years ago

If the sum of twice a number and 3 is 15. what is the value of 8x?

Aloiza [94]

Answer:

Step-by-step explanation:

2x + 3 = 15

2x = 15-3

2x = 12

x = 12 ÷ 2

x = 6

8x = 6 × 8

8x = 48

6 0

3 years ago