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
AURORKA [14]
3 years ago
5

Please solve i got 3 but i’m not sure

Mathematics
1 answer:
GuDViN [60]3 years ago
7 0
Short answer x = 11/3
Step One

Change 64 to a power of 4
\text{64  = 4}^{4}

Step Two
Include 2x - 4 as part of your power. So far you are only working on the right side of the problem.

(x^{4*(2x - 4)}

Step Three
The bases are the same so you can equate the powers.
2x + 6   = 4(2x - 4) 

Step Four
Remove the brackets on the right.
2x + 6 = 8x - 16 

Step five
Collect like terms.     Begin by adding 14 to both sides.
2x + 6 + 16 = 8x       Subtract 2x from both sides.
22 = 8x - 2x
22 = 6x                     Divide by 6
22/6 = x
x = 3.666333 or 3 2/3 or 11/3

Check
Left hand side
4^(2*11/3 + 6) 
4^(22/3 + 6)
4^(22/3 + 18/3)
4^(40/3) 

Right Side
64^(2*11/3 - 4)
64^(22/3 - 4)
64^(22/3 - 12/3)
64^(10/3)    There is something we can do without figuring out what this is.
64 = 4^4
4^(4*10/3)
4^(40/3) which is the same as the left side

Answer x = 11/3 <<<<<
You might be interested in
Triangle ABC is an oblique triangle. If angle A equals 57°, angle B equals 73°, and AB equals 24 in, what is the length of AC?
natulia [17]

Step-by-step explanation:

\huge{\underbrace{\overbrace{\mathfrak{\pink{Answer:}}}}}

Angle C must = [180 - 73 - 57 ] = [180 - 130] = 50°

And using rhw Law if Sines, we have.....

AB/sin C = AC/sin B → 24/sin(50) = AC/sin(73) → AC = 24*sin(73)/sin(50) = about 29.96 in

5 0
3 years ago
A ditch contains 10 centimeters of water. Rainwater accumulates in the ditch as follows: 10 centimeters of water by the end of t
kondaur [170]
Firstly, let's create a function of f(t) where t represents the time that has past, and f(t) represents the amount of rainwater. We know that when t=1, then f(t)=10, and t=2 then f(t)=15. So, let's take that and analyze it:

(1,10)
(2,15)
m = (15-10)/(2-1) = 5
y-intercept = 5
∴ f(t) = 5t+5

Now we just evaluate t for 10:

f(10) = (5*10)+5
f(10) = 55
3 0
3 years ago
Write the relation as a set of ordered pairs.
ankoles [38]

Answer:

option B is the answer.

7 0
3 years ago
Find the length and area of rectangle whose diagonal is =26cm and breath is =10cm​
givi [52]

Answer:

240cm²

explanation

Diagonal ²=Length ²+breath ²

26²=10²+length ²

676=100+length ²

576=length ²

length=24cm

Area of a rectangle=length×breath

Area=24×10

=240cm²

3 0
3 years ago
The scale of a map is given as 1:30000000. Two cities are 4 cm apart on
Elza [17]

Answer:

1,200 kilometers (km)

Step-by-step explanation:

The scale of a map = 1:30000000

There are two cities that are 4 cm apart on the map

<u> First: Find the distance between them</u>

Distance between them = 4 cm × 30,000,000 = 120,000,000 cm

<u>Second: Convert</u>

120,000,000 cm = 1,200 km

So distance between the cities is 1,200 km

8 0
3 years ago
Read 2 more answers
Other questions:
  • Please need this answer fast it is the last piece to my pie chart for math!!!! A catering service offers 3 appetizers, 5 main co
    11·1 answer
  • Given the equation:<br>y=−2x2−12x−23 <br> Find the parabola's vertex.
    8·2 answers
  • What is the x value for x+7y=10
    5·1 answer
  • Fred spends $3.15 on 4 1/2 pounds of peanuts. How much did he pay for each pound of peanuts
    6·1 answer
  • PLEASE HELPPPPP I NEED TO PASS SUMMER SCHOOL
    11·1 answer
  • Question 2 : SQUARE ROOTS
    10·2 answers
  • Help me with this pls
    5·1 answer
  • Ill mark brainlist plss help
    11·2 answers
  • What are the measures of angles P and S? ∠P = 20°; ∠S = 160° ∠P = 40°; ∠S = 140° ∠P = 140°; ∠S = 40° ∠P = 160°; ∠S = 20°
    13·1 answer
  • There are 713 boxes in the stores room, each having 12 bags of tikis in them. What is the total number if tiki bags are inside t
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!