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
dem82 [27]
2 years ago
8

2ⁿ+2ⁿ+2ⁿ+2ⁿ=2¹⁶value of n?​

Mathematics
1 answer:
STatiana [176]2 years ago
6 0

Answer:

n = 14

Step-by-step explanation:

~~~~~~~2^n+2^n+2^n+2^n = 2^{16}\\\\\implies 4 \cdot 2^n = 2^{16}\\\\\implies 2^2 \cdot 2^n = 2^{16}\\\\\implies 2^{n+2} = 2^{16}~~~~~~~~~~~~~~~~~~~~~~~~~~~~;[a^m \cdot a^n = a^{m+n}]\\\\\implies n+ 2 = 16\\\\\implies n = 16-2 \\\\\implies n = 14

You might be interested in
Please help asap thank you!!!
saul85 [17]

Answer: (3,-5) minimum

Step-by-step explanation:

the vertex is at the bottom so it is a minimum

3 0
2 years ago
The sum of two numbers is 38. Their difference is 50. What are the numbers?<br><br> 20 POINTS
enot [183]
Let, the numbers = x,y
Now, x + y = 38
x - y = 50, x = 50 + y

Substitute it into first equation,
50 + y + y = 38
2y = 38 - 50
y = -12 / 2
y = -6

Substitute it into first equation,
x - 6 = 38
x = 38 + 6 = 44

So, your final answer is x = 44 & y = -6

Hope this helps!
7 0
3 years ago
Is the triangle an acute, isosceles, obtuse, or right?
Trava [24]

Step-by-step explanation:

k =70 because all triangles angles add up to 180° and it's an acute angle cause all the angles are lower than 90° hope this helps

5 0
3 years ago
A new Youth Sports Center is being built in Hadleyville. The perimeter of the rectangular playing field is 536  yards. The lengt
Aleksandr [31]

Answer:

W = 58 yards, L = 210 yards

Step-by-step explanation:

P = 2 (L + W)

L = 4w - 22

P = 2 (4W - 22 + W)

536 = 8W - 44 + 2W

536 = 10W - 44

10 W = 536 + 44

10W = 580

W = 58 yards

Since L = 4W - 22

L = 4 (58) - 22

L = 232 - 22

L = 210 yards

5 0
3 years ago
What quadrilateral has exactly one pair of parallel sides
Karo-lina-s [1.5K]
A trapezoid is a quad that has exactly one pair of parallel sides
8 0
3 years ago
Other questions:
  • Alan is 14 years old .this is twice as old as his broter james. how old is james
    12·2 answers
  • What is the probability of someone correctly guessing your Social Security number on the first attempt? (Assume all digits 0-9 a
    10·1 answer
  • A prism with a base area of 8 cm² and a height of 6 cm is dilated by a factor of 54.
    7·1 answer
  • How do I set up the problem?
    15·1 answer
  • AB and AC are tangent. Find AB
    10·1 answer
  • Each year, the number of students taught by Mr. Wright increases by 2. The first year, he taught 18 students. The total number o
    12·2 answers
  • Find the distance between points A and B.
    10·2 answers
  • Find the value of x and y​
    15·2 answers
  • So uh, I took a test and I got this question wrong. I cant tell what the right answer is, and I want to learn how to do it, but
    5·2 answers
  • two card are drawn from a well shuffled deck of 51 cards. find the probability thst both cards are king( the first card is not r
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!