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AveGali [126]
2 years ago
6

the expression (4^p*4^1)^3 simplifies to 4^15. Eric was asked to find the value of p and said the answer is p=11. Is Eric correc

t? why or why not. If not what does p equal?
Mathematics
1 answer:
notka56 [123]2 years ago
8 0

(4^p*4^1)^3  = 4^15

add the exponents

(4^(p+1))^3 = 4^15

power to the power means multiply

(4^3(p+1)) = 4^15

the bases are the same so the powers have to be the same

3(p+1)) = 15

divide by 3

p+1 =5

subtract 1

p=4

Eric is incorrect.  p=4

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Can someone help me with this. Thx
insens350 [35]

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See this attachment

\boxed{\boxed{\sf{ x=5~and~y=-5 }} }

4 0
2 years ago
Read 2 more answers
From a box containing 10 cards numbered 1 to 10, four cards are drawn together. The probability that their sum is even is 21 21
ankoles [38]

Answer:

Step-by-step explanation:

We know that between 1 to 10 there are 5 even and 5 odd numbers.

We could get 4 even cards , 4 odd cards or 2 odd and 2 even cards

Let´s check all this combinations

Case 1: When all 4 numbers are even:  

We are going to take 4 of the 5 even numbers in the box so we have

5C4=5

Case 2: When all 4 numbers are odd:  

We are going to take 4 of the 5 odd numbers in the box, so we have

5C4=5

Case 3: When 2 are even and 2 are odd:

We are giong to take 2 from 5 even and odd cards in the box so we have

 

5C2 * 5C2

Remember that we obtain the probability from

\frac{Number-of-favourable-Outcome}{Total-number-of-outcomes}

So we have the number of favourable outcomes but we need the Total cases for drawing four cards, so we have that:  

We are taking 4 of the 10 cards:

10C_4=210

Hence we have that the probability that their sum is even

\frac{5+5+100}{210}=\frac{11}{21}

8 0
2 years ago
What is the slope of a line perpendicular to the line y=-1/4x-1
ella [17]
-1/4
I really hope this helps
4 0
3 years ago
What is the perimeter of a lawn that is 25 feet long and 20 feet wide?
Inessa [10]

Answer:

Hey

Step-by-step explanation:

500 feet total is your answer because if you multiply the two numbers you et 500

7 0
2 years ago
Find the greatest common factor of 32 and 39
Stella [2.4K]

Answer:

1

Step-by-step explanation:

We will first find the prime factorization of 32 and 39. After we will calculate the factors of 32 and 39 and find the biggest common factor number .

32=2^5

39=3^1*13^1

-

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16

List of positive integer factors of 39 that divides 32 without a remainder.

1,3,13

We found the factors and prime factorization of 32 and 39. The biggest common factor number is the GCF number.

So the greatest common factor 32 and 39 is 1.

7 0
2 years ago
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