What is the value of x if e^3x+6 =8? Answer:
Answer:
[tex]\displaystyle x = \frac{ln2}{3}[/tex]
General Formulas and Concepts:
Pre-Algebra
Equality PropertiesAlgebra II
Natural logarithms ln and Euler's number eLogarithmic Property [Exponential]: [tex]\displaystyle log(a^b) = b \cdot log(a)[/tex]Solving logarithmic equationsStep-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle e^{3x} + 6 = 8[/tex]
Step 2: Solve for x
[Equality Property] Isolate x term: [tex]\displaystyle e^{3x} = 2[/tex][Equality Property] ln both sides: [tex]\displaystyle lne^{3x} = ln2[/tex]Rewrite [Logarithmic Property - Exponential]: [tex]\displaystyle 3xlne = ln2[/tex]Simplify: [tex]\displaystyle 3x = ln2[/tex][Equality Property] Isolate x: [tex]\displaystyle x = \frac{ln2}{3}[/tex]Answer:
x = 1/3 ln(2) or approximately 0.23104
Step-by-step explanation:
e^3x+6 =8
Subtract 6 from each side
e^3x+6-6 =8-6
e^3x =2
Take the natural log of each side
ln( e^3x) =ln(2)
3x = ln(2)
divide by 3
3x/3 = 1/3 ln(2)
x = 1/3 ln(2)
x is approximately 0.23104
evaluate and solve: y + 3 = –y + 9
The value of y is 3.
Answer:
Solution given;
: y + 3 = –y + 9
add +y on both term
y+y+3=-y+y+9
subtract both side by 3
2y+3-3=9-3
2y=6
divide both side by 2
2y/2=6/2
y=3
Answer:
y = 3
Step-by-step explanation:
y + 3 = –y + 9
Add y to each side
y+y + 3 = –y +y+ 9
2y +3 = 9
Subtract 3 from each side
2y+3-3 = 9-3
2y = 6
Divide by 2
2y/2 = 6/2
y = 3
Find the solution to the system of equation -x + y = 3 and x - 2y = 5.
Answer:
Step-by-step explanation:
[tex]\displaystyle\ \large \boldsymbol{} +\left \{ {{-x+y=3} \atop { \ \ x-2y=5}} \right. => \\\\\\x \!\!\!\!\diagup-x\!\!\!\!\diagup-2y+y=5+3\\\\-y=8\\\\ y=-8\ ; \ x=-11[/tex]
pls help its timed no fake answers i cant afford to fail
Answer:
It's B, I tried using mathaway and that's the closest to the answer I got. Try it. I always use mathaway for any math problems, use that for now on if you're stuck
Step-by-step explanation:
Match each equation with its solution.
Answer:
1. x = -2 , 3
2. x = - 1, 5
3. -1, 6/5
4. - 0/3, 1.3
Step-by-step explanation:
1.
[tex]ln(x+5)=ln(x-1)+ln(x+1)\\\\x+ 5 = (x-1)(x+1)\\\\x + 5 = x^2 - 1\\\\x^2 - x - 6 = 0 \\\\x^2 - 3 x + 2 x - 6 =0 \\\\x(x-3)+2(x-3)=0\\\\x = -2 and 3[/tex]
2.
[tex]e^{x^{2}}=e^{4x +5}\\\\x^2 - 4x - 5 = 0 \\\\x^2 - 5x + x - 5 = 0 \\\\x (x-5)+1 (x-5)=0\\\\x = -1 and 5[/tex]
3.
[tex]log_{4}(5x^2 +2)=log_{4}(x +8)\\\\5x^2 - x - 6 = 0 \\\\5 x^2 - 6 x + 5x- 6 = 0 \\\\5 x (x + 1)-6(x+1)=0\\\\x = -1 and \frac{6}{5}[/tex]
4.
[tex]log(x-1)+log 5x = 2\\\\5 x (x-1) =2 \\\\5x^2 - 5x -2 = 0 \\\\x = \frac{5\pm\sqrt{25+40}}{10}\\\\x = \frac{5\pm 8}{10}\\\\x = 1.3, - 0.3[/tex]
YOULL BE SO AWESOME IF YOU ANSWERRRRRR PLSSS
Answer:
It is the first option: The sum of 4 tens and 9 tens is 13 tens, which is regrouped as 1 hundred and 3 tens.
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
just logic
Write the equation for a parabola with a focus at (-3,-5)(−3,−5)left parenthesis, minus, 3, comma, minus, 5, right parenthesis and a directrix at x=-7x=−7x, equals, minus, 7.
Answer:
(y + 5)² = -16(x + 5)
Step-by-step explanation:
We are told the focus is at (-3, -5)
Directrix is at x = -7
This is a horizontal parabola and thus the general equation is;
(y - k)² = -4p(x - h)
Where;
(h, x) is the coordinate of the vertex.
The axis where the point where the axis of symmetry meets the directrix is at; (-7, -5) since directrix is at x = -7
Thus, coordinates of vertex is;
(-7 + (-3))/2, (-5 + (-5))/2
> (-5, -5)
Thus, equation is;
(y - (-5))² = -4p(x - (-5))
(y + 5)² = -4p(x + 5)
Where p is the distance from vertex to directrix. Thus;
p = -(-7 - (-3))
p = -(-7 + 3)
p = 4
Thus;
(y + 5)² = -4(4)(x + 5)
(y + 5)² = -16(x + 5)
Answer:
(y + 5)² = -16(x + 5)
Step-by-step explanation:
The sets A and L are given below.
A = (a, b, e}
L={c, k,j}
Find the intersection of A and L.
Find the union of A and L.
Write your answer using notation (in roster form)
Answer:
A n L = null (0)
A U L = a,b,e,c,k,j
plsssss helpp in the next 2 min gives 10 points
Answer:
The answer is 144,5
Step-by-step explanation:
144,5/170×100 =85%
A cab company changes a 3$ flat rate addition to $1.50 per mile what is the y Intercept?
The y intercept would be the minimum amount charged, which would be the flat rate of $3
Answer: the y-intercept is 3
please answer the question below! first to answer correctly, I will mark as brainliest.
The probability of not winning would be :
1 - probability of winning
This is written as:
1 - n/n+3
Now to simplify as a single fraction rewrite as:
N+3/n+3 - n/n+3
Simplify to get : 3/n+3
A salesman, after deducting his commission of
6%, remits $2491 to his company. The gross
amount of the sale amounted to
(A)$2809
(B) $2650
(C) $2640
(D) $2341.54
Answer:
(C) $2640
Step-by-step explanation:
2491 x 0.06 = 149.46
2491 + 149.46 = 2640.46
what is 11/12 divide 1/3
no simplify
please help i need to pass summer school
Answer:
2.75
Step-by-step explanation:
(11/12) / (1/3) = 2.75
Answer:
the answer is: 11/4
PLEASE HELP!!!
The distance d of a particle moving in a straight line is given by d(t) = 2t^3 + 5t – 2, where t is given in seconds and d is measured in meters.
Find the velocity of the particle for t = 7 seconds.
A) 152 m/s
B) 47 m/s
C) 733 m/s
D) 299 m/s
Answer:
The derivative of the position function gives the velocity function
2 t^3 + 5 t -2 derivative = 6 t^2 + 5
Using a deck of 52 playing cards, what are the odds in favor of drawing a Jack or 10?
half past 9:00p.m. what is half past of 9:00p.m.
Answer:
The answer is 9:30 pm :D.
How many solutions does it have? Pls help
Answer:
2 solutions
i hope this will help you
Problem 7:
show that 4^n + 4^n+1 + 4^n+2 + 4^n+3 + 4^n+4 is divisible by 11 for any positive integer
4ⁿ + 4ⁿ⁺¹ + 4ⁿ⁺² + 4ⁿ⁺³ + 4ⁿ⁺⁴
= 4ⁿ (4⁰ + 4¹ + 4² + 4³ + 4⁴)
= 4ⁿ × 341
= 4ⁿ × 11 × 31
please help me out really need help
Answer:
B
add the two together.... 5x^3 is the only cube A or B only x is 6x and only B has that
Step-by-step explanation:
Answer:
your answer is B
[tex]f(x)=2x^{2} +6x-4[/tex]
[tex]g(x)=5x^{3} -6x^{2} -3[/tex]
[tex](f+g)x=2x^{2} +6x-4+5x^{3} -6x^{2} -3[/tex]
[tex]=5x^{3} -4x^{2} +6x-7[/tex]
OAmalOHopeO
Calculate the answer to the correct number of significant figures: 41.70 + 0.506 + 0.00223 = ______.
42.20823
42.2082
42.208
42.2
42.21
The answer to the correct number of significant figures is 42.21
Addition of decimal numbersWhen adding decimal numbers, the number of significance of the resulting value will be to the least decimal numbers in the given expression.
Given the sum of decimal shown
41.70 + 0.506 + 0.00223
Using the calculator to take the sum
41.70 + 0.506 + 0.00223 = 42.20823
Since the significance value in the expression is 4, hence we will round the result to 4sf to have 42.21
Learn more on addition of decimal here: https://brainly.com/question/19127052
#SPJ1
an ice fisherman wishes to cut a hole in the ice which has a diameter of 30 cm. How far around must he cut to create this hole?
Given:
Diameter of the hole = 30 cm
To find:
The area of the hole.
Solution:
The radius of a circle is always half of the diameter. It is given that the diameter of the hole is 30 cm. So, the radius of the hole is:
[tex]r=\dfrac{30}{2}[/tex]
[tex]r=15[/tex]
Area of a circle is:
[tex]A=\pi r^2[/tex]
Putting [tex]\pi = 3.14[/tex] and [tex]r=15[/tex] in the above formula, we get
[tex]A=(3.14)(15)^2[/tex]
[tex]A=(3.14)(225)[/tex]
[tex]A=706.5[/tex]
Therefore, the area of the hold is 706.5 square cm.
Apakah dua atom tersebut?
- atom p mempunyai 9 proton Dan 10 neutron
- atom q mempunyai 13 proton Dan 14 neutron
- atom r mempunyai 12 proton dan 14 neutron
- atom s mempunyai 9 proton Dan 11 neutron
Answer:
I think the Ans is second one
AYUDAAA!!
Compara 3/15 y 0.92
Step-by-step explanation:
[tex] \frac{3}{15} = \frac{1}{5} = 0.2 \\ 0.92 = \frac{23}{25} \\ 0.92 > 0.2[/tex]
Please Help Me!!!!!!!
Answer: b
Step-by-step explanation: death normally last 9 min and birth 9 sec
You roll five number cubes and the numbers rolled are 1,2, 3, 4, and 5. Are the events independent? Explain.
A.No; five number cubes were rolled instead of one.
B.Yes; none of the rolls has an effect on another roll.
C.No; none of the rolls had the same outcome.
D.Yes; all the rolls had different outcomes.
En un grado pienzan diseñar targetas de cuidadores del ambiente para repartir en los comercios. cada una tendra una frase para concientizar, el nombre de la escuela y el grado. las targetas seran un cuadrado con 10 cm de lado. aqui tienes un papel de 30 cm de ancho x 30 cm de largo y un cuadrado de 10 cm x 10 cm. ¿Cuantos cuadrados crees que entran en la hoja? ¿cuantas tarjetas puedes hacer con la hoja?
Answer:
Entran 9 cuadrados en la hoja
Se puden hacer 10 tarejtas por que hay un cuadradro de 10*10 extra.
Step-by-step explanation:
El area de la hoja sera:
[tex]A_{Hoja}=30*30=900 \:cm^{2}[/tex]
Ahora el area de cada tarjeta es:
[tex]A_{tarjeta}=10*10=100\: cm^{2}[/tex]
Para determinar cuantos tarjetas entran en la hoja debemos vidivir las aras encontradas arriba:
[tex]\frac{A_{Hoja}}{A_{tarjeta}}=\frac{900}{100}=9[/tex]
Entonces entran 9 cuadrados en la hoja
Se puden hacer 10 tarejtas por que hay un cuadradro de 10*10 extra.
Espero te haya sido de ayuda!
The equation of line u is y = 9/2x+1. Line v is perpendicular to u. What is the slope of line v
Answer:
Step-by-step explanation:
The slope of line u is 9/2; the line perpendicular to that is the opposite reciprocal...opposite sign and the flip of the fraction. The perpendicular slope is -2/9
Find the equation of the line through the points (-5,11) and (2,-3)
y=
Answer:
Y= -1/2X- 2
Step-by-step explanation:
-3 - 11 = -14
2-(-5) = 7
7/-14 = -1/2
-3 = 2(-1/2) + b
-3 = -1 + b
-2 = b
Y= -1/2X-2
Does anyone know this?
Answer:
functions are expressions that involve 2 variables, a dependent and an independant variable
example: x=3 isn't a function, but 2y=6-x is
c) A building owner fixed the cost of his building as Rs 15,84,000 and the price
above the fixed cost goes to an agent as his commission. If the agent sold it for
Rs 16,71,120, find his commission percent.
Plz solve it .
Answer:
5.5%
Step-by-step explanation:
Firstly, we find the difference between the fixed cost and the price above the fixed cost
We have this as;
1, 671,120 - 1,584,000 = 87,120
now, we have to divide this value by the fixed cost and express as a percentage
we have this as;
87,120/1,584,000 * 100% = 5.5%
