1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
AveGali [126]
3 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]3 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

You might be interested in
The sum of two numbers is 67. The larger number is 19 more than the smaller number. What are the numbers
maxonik [38]

Answer:

32 and 35

Step-by-step explanation:

I am going to use x for the smaller number and y for the larger one.

The sum of both these numbers is 67, so the equation should be:x+y=67

Since the smaller number is three less than the larger number, that means 3 has to be added to the smaller number to make it equal in size to the larger number.

x+3=y

To solve the equation, simply plug in 

x+3 for the y variable in the first equation.x+x+3=67→ Rewrite the first equation2x=64→ 

Subtract 3 from each side, combine like termsx=32→ 

Divide each side by 2The smaller number is 32, so we plug that in to the second equation to find the larger number.

32+3=yy=35

The two numbers are 32 and 35

4 0
2 years ago
Which of these equations could represent the blue line?
belka [17]

Hello from MrBillDoesMath!


The first choice (y = 2x) is NOT the blue line because it has twice of the slope of the line y=x. That is,  for a given positive x value the graph of y= 2x  appears above the black line which is not the case for the blue line shown.

The second choice (y =.001x) is a possibility but the multiplier .001 is so small I think the graph of that line would be "close" to the x-axis. I don't think it's the blue line.

y = -x. Now here we can say NO!  That line goes through the origin all right but has a slope of -1 so is heading "downward" from left to right. That is not the blue line either.

Well, then, it seems that the last equation ( y = 1/2x) is the only remaining reasonable answer.


Regards,  MrB.


5 0
3 years ago
Determine the value of x for which r ∥ s if?
gogolik [260]

Answer:

Step-by-step explanation:

m∠1 = m∠2            {r ║s , so, corresponding angles are equal}

60 – 2x  =  70 – 4x

  4x - 2x = 70 -60

         2x = 10

           x = 10/2

           x = 5

   

6 0
3 years ago
What is 500/373as a fraction and as a decimal?
Aneli [31]
500/373 is already displayed as a (improper) fraction


and as a decimal that would be: 1.340483
7 0
4 years ago
I need Help<br><img src="https://tex.z-dn.net/?f=%20%20%5C%5C%20%5Cfrac%7B%20%7B3%7D%5E%7B3%7D%20%20-%2021%7D%7B5%20%5Ctimes%203
hammer [34]

First let's solve the numerator:

27 - 21 = 6

Denominator:

15 + 9 = 24

Knowing this:

6/24 = 1/4

8 0
3 years ago
Other questions:
  • Isabella buys a 1.75 litre carton of apple juice. What is the largest number of 200 millilitre glasses that she can have from th
    15·1 answer
  • Nicole and her grandmother lives in the same neighborhood,but a forest of trees separate their house.if you left Nicole's house
    11·2 answers
  • Help with 2 algebra questions? Will give lots of points too.
    5·2 answers
  • A store recorded that 20% of the people who came to the store for one moth were between the age of 60-70. The equation below rep
    14·1 answer
  • What's 0.06 as a fraction in simplest form
    7·2 answers
  • A room contains three urns: u1, u2, u3. u1 contains 3 red and 2 yellow marbles. u2 contains 3 red and 7 yellow marbles. u3 conta
    12·1 answer
  • Solve -2(x - 4) - 7 &gt; - 6
    11·1 answer
  • Find the value of x.
    10·1 answer
  • How do you write -5 1/100 as a decimal?
    8·2 answers
  • Helpppp<br> No links plz
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!