4^x+ 2^(1+2x)= 50
I know what the answer is (about 2.03), but I need help getting there!
Step-by-step explanation:
4ˣ + 2¹⁺²ˣ = 50
Rewrite 4 as a power of 2.
2²ˣ + 2¹⁺²ˣ = 50
Factor out 2²ˣ.
2²ˣ (1 + 2) = 50
2²ˣ = 50/3
Take log of both sides.
ln(2²ˣ) = ln(50/3)
Use exponent property.
2x ln 2 = ln(50/3)
Solve for x.
x = ln(50/3) / (2 ln 2)
Simplify.
x = ln(50/3) / (ln 4)
x ≈ 2.03
In how many ways can four people sit around a circular table? Seating arrangements are considered different only if at least one person has at least one different neighbor.
Answer:
(x-1)!
Step-by-step explanation:
lets say you want to sit x people around a table you would do x!. but since it doesn't count if you rotate the table you have to divide it by x, so the answer is x!/x = (x-1)!
Solve the equation.
y +8=-11
y=
Steps to solve:
y + 8 = -11
~Subtract 8 to both sides
y = -19
Best of Luck!
are x and 12x like terms plz i need this!
Yes.
You can add them together to get 13x.
because you can add them together, they are alike terms.
I need help need to turn in in less than 20 min
What is the mean of the data?O 5
O 10
O 30
O 50
Answer:
D. 50
Finding out the mean is actually pretty simple. All you have to do is add up the numbers, then divide that by how many numbers there are. For this graph, here's what you do:
35 + 40 + 45 + 50 + 55 + 60 + 65 = 350
Since there are seven numbers, you divide 350 by 7.
350 ÷ 7 = 50
And that's your answer! hope this helps
How is the expression 7^-4 written using a positive exponent?
One factor of the polynomial 6x3 − x2 + 8x + 5 is (2x + 1). What is the other factor of the polynomial? (Note: Use long division.)
Answer: (3x2 − 2x + 5)
Step-by-step explanation:
The other factor of the polynomial (3x+5) and (x-1).
What is long division method?Long Division is a method for dividing large numbers, which breaks the division problem into multiple steps following a sequence. Just like the regular division problems, the dividend is divided by the divisor which gives a result known as the quotient, and sometimes it gives a remainder too.
Given that, one factor of the polynomial 6x³-x²+ 8x+5 is (2x+1).
Using long division method, we get
2x+1|6x³-x²+8x+5|3x²+2x-5
(-)6x³+3x²
_____________
-4x²+8x+5
4x²+2x
_____________
10x+5
-10x-5
_____________
0
Now, the factors of quotient 3x²+2x-5 are
3x²+5x-3x-5
= x(3x+5)-1(3x+5)
= (3x+5)(x-1)
Therefore, the other factor of the polynomial (3x+5) and (x-1).
Learn more about the long division method here:
https://brainly.com/question/29258654.
#SPJ2
What is the midpoint of points (3.9) and (1.-7)?
Answer:
Answer is (2,1)
Step-by-step explanation:
The Midpoint formula is simply (x2+x1)/2, (y2+y1/2)
Just gotta plug in the points!
Hope this helps!
can someone help me please
Answer:
you end up with 75 divided by 3.
Step-by-step explanation:
75 divided by 3 - 8 + 8
add 60 and 15
3 - 2(4) + 2^3
multiply -2 by 4
3 - 8 + 2^3
multiply 2 by itself 3 times
3 - 8 + 8 (which gives you 3 again)
and you get 75 divided by 3
(z + 3)2
Draw me an area that shows the expression
Answer: 2z + 6
Step-by-step explanation: Distribute the 2 to z and 3.
The elevation of an airplane changes by-420 feet in 12 seconds. What is the change in the airplane's elevation each second?
Answer:
-35 feet each second
Step-by-step explanation:
Divide -420 by 12:
-420/12
= -35
So, the change in the plane' elevation is -35 feet each second
Answer:
-35 feet per second
-420/12 = -35
Given the explicit expression f(n)=4n+2, write a set showing the sequence.
A {6, 10, 14, 18,...}
B {6, 8, 10, 12,...}
C {4, 8, 12, 16,...}
D {2, 6, 10, 14,...}
the answer is A because you would do 4x1+2 and then you would do 4x2+2 and so on
Correct! Thanks. This really helped me on a question on my quick check!
What angle is exactly 90 degrees?
7
Answer:
a Right angle is an angle of exactly 90 degrees
Answer:
A right angle is exactly 90 degrees
Step-by-step explanation:
A right angel is like an L pretty much
plz mark brainest, trying to get to next rank and only need two more.
The radius of a circle is 4.8cm. What is the diameter?
Answer:
9.6cm
Step-by-step explanation:
Since the radius is half of the diameter, to find the diameter, simply multiply the radius by 2.
4.8*2=9.6
Diameter=9.6cm
On a number line, suppose the coordinate of A is 0, and AR = 9. What are the possible coordinates of the midpoint of AR?
Given:
On a number line, suppose the coordinate of A is 0, and AR = 9.
To find:
The possible coordinates of the midpoint of AR.
Solution:
Coordinate of A is 0, and AR = 9.
It means the distance between point A and R is 9 units. It means, point R can be either left side or right side of A. So, location of point R can be either -9 or 9.
If coordinate of R is -9, then midpoint of AR is
[tex]\dfrac{0+(-9)}{2}=-4.5[/tex]
If coordinate of R is 9, then midpoint of AR is
[tex]\dfrac{0+(9)}{2}=4.5[/tex]
Therefore, the possible coordinates of the midpoint of AR are -4.5 and 4.5.
Solve for x: 6x−8=8x−6
y+15=30 i will mark brainliest
Answer:
y = 15
Step-by-step explanation:
if y+15=30 we know that we need a total of 30, since we already have 15 y will also be 15
Answer:
y+15=30
y+15-15=30-15
y=15
Step-by-step explanation:
X3
If x = 7, what is the value of the expression above?
A. 21
B. 147
C. 343
D. 2,187 plz explain
Answer:
A
Step-by-step explanation:
if X is 7, and is connected/touching the three. You have to multiply and 7×3=21
solve for y 2(5y-1)=28
Answer:
y=3
Step-by-step explanation:
Rewrite in simplest radical form! Show your work.
Answer: [tex]\frac{1}{\sqrt[3]{x} }[/tex]
Step-by-step explanation:
Since the base of the exponents are the same, we can go ahead and subtract the exponents.
[tex]\frac{x^{\frac{5}{6}} }{x^{\frac{7}{6} }}[/tex] [subtract exponents]
[tex]x^{-\frac{2}{6} }[/tex] [simplify exponent]
[tex]x^{-\frac{1}{3}}[/tex] [write in radical form]
[tex]\frac{1}{\sqrt[3]{x} }[/tex]
In the expression 2x + 3, the 2 is called the A) coefficient B) power 09 product D) quotient
Answer:
D
Step-by-step explanation:
Which equation represents a line that is parallel to y = -4x + 3 and passes through the point (-3,2)?
a. y= -4x - 10
b. y=-4x + 2
c. y= -4x + 5
d. y= 1/4x - 7/2
e. y= 1/4x + 11/4
Answer:
a
Step-by-step explanation:
y-2/x+3= -4
-4x-12=y-2
y=-4x-12+2
y=4x-10
Una avenida está siendo asfaltada por etapas. En la primera etapa se asfaltó la mitad; en la segunda, la quinta parte, y en la tercera, la cuarta parte del total. ¿Cuál es la longitud de la avenida si aún faltan 200 m por asfaltar?
Answer:
Sabemos que:
L es el largo de la avenida.
En la primer etapa se asfalto la mitad, L/2, entonces lo que queda por asfaltar es:
L - L/2 = L/2.
En la segunda etapa se asfalto la quinta parte, L/5, entonces lo que queda por asfaltar es:
L/2 - L/5 = 5*L/10 - 2*L/10 = (3/10)*L
En la tercer etapa se asfalto la cuarta parte del total, L/4, entonces lo que queda por asfaltar es:
(3/10)*L - L/4 = 12*L/40 - 10L/40 = (2/40)*L
Y sabemos que este ultimo pedazo que queda por asfaltar es de 200m:
(2/40)*L = 200m
L = 200m*(40/2) = 4,000m
Find an equation of the line that passes through the points (3,-2) and (-7,6).
Answer:
y = -4/5x + 2/5
Step-by-step explanation:
Answer:
y = -0.8x + 0.4 or
y= -4/5x + 2/5
Step-by-step explanation:
Help me plz !!!!!!!!!!!!!!!
The perimeter of a rectangle is 96 feet. The
length is twice the width. What is the length?
Answer:
Step-by-step explanation:
THE LENGTH OF THE RECTANGLE IS SIX LESS THAN TWICE THE WIDTH. FIND THE DIMENSIONS OF THE RECTANGLE. W=18 FOR THE WIDTH. 2*18-6=36-6=30 FOR THE LENGTH. (sorry caps)
10 – 2(2x + 2) > 14
Help meeee
Answer:
x < -2
Step-by-step explanation:
1. Original Inequality: 10 – 2(2x + 2) > 14
2. 10-4x-4>14
Distribute the -2 to 2x and 2.
3. Simplify the left side: 6-4x>14
Do 10-4
4. Subtract: -4x>8
Subtract 6 from both sides to get x by itself
5. Divide: x< -[tex]\frac{8}{4}[/tex]
You want to divide by -4 that way you can find what x is. When you divide OR multiply by a negative number in an inequality you are going to need to switch the way the sign is facing.
6. Simplify: x< -2
7. Check:
10-2(2(-3) +2) > 14
10-2(-6 + 2)
10-2(-4)
10+8
18 > 14
Hello! :)
−4x + 6 > 14 Simplify both sides
−4x + 6 − 6 >1 4 − 6 Subtract 6 from both sides
−4x > 8
-4x/-4 > 8/-4 Divide both sides by -4
x < -2 (ANSWER)
Hope this helped you!
THEDIPER
How many kilograms are there in 45,456 mg?
Please I will give brainliest!!
Answer:
A
Step-by-step explanation:
The ribbons length goes highest to lowest from blue, red and yellow