Consider the equation 4•e^2.7x = 33
Solve the equation for x. Express the solution as a logarithm in base-e.
x ≈
Approximate the value of x. Round your answer to the nearest thousandth.
x≈
Answers
Answer:
[tex] \huge x = ln( \frac{33}{4} ) \times \frac{ 10}{27} \\ \huge \: x \approx 0.782[/tex]
Step-by-step explanation:
to understand thisyou need to know about:logarithmPEMDASlet's solve:[tex]4 {e}^{2.7x} = 33 \\ {e}^{2.7x} = \frac{33}{4} \\ 2.7x = ln( \frac{33}{4} ) \\ x = ln( \frac{33}{4} ) \times \frac{ 10}{27} \\ x \approx 0.782[/tex]
An equation is formed of two equal expressions. The value of x is 0.7815.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The equation 4•e^2.7x = 33 can be solved for x as,
[tex]4\cdot e^{2.7x }= 33\\\\ e^{2.7x }= \dfrac{33}{4}\\\\\text{Taking anti-log}\\\\2.7x = ln\frac{33}{4}\\\\x = ln(\dfrac{33}{4}) \times \dfrac{1}{2.7}\\\\x=0.7815[/tex]
Hence, the value of x is 0.7815.
Learn more about Equation:
https://brainly.com/question/2263981
#SPJ2
Related Questions
Expand and simplify
(x – 3)(2x - 2)
Answers
Answer:
2x^2 - 8x + 6
Step-by-step explanation:
2x*x+(-3x*2x)+(x*(-2))+6=
2x^2-8x+6
What rule is shown by this input/output table and coordinate plane?
A. add 3
B. subtract 2
C. divide by 3
D. multiply by 2
Answers
Answer:
add 3
Step-by-step explanation:
3+3=6 4+3=7 5+3=8
and on the graph when u graph them your answer is A.
Hope this helps:)
10 5/12 - 7 7/12 plss
Answers
your answer is: C 125/12
Answer:
The answer is 2 5/6
Step-by-step explanation:
10 5/12= 125/12
7 7/12= 91/12
125-91 is 34
34/12 = 2 10/12
simplify it
2 5/6
what is the answer to 1/2d+6
Answers
Answer:
Step-by-step explanation:
What you gave, is an expression. There is no answer. The only thing that can be done is factor out the 1/2
[tex]\frac{1}{2}(d+12)[/tex]
What is a reflection of a geometric shape
Answers
Answer:
A reflection of a geometric shape is the mirror image of the shape.
Hope this helps, thank you !!
A phone company offers two monthly plans. Plan A costs $8 plus an additional $0.09 for each minute of calls. plan B cost $16 plus an additional $0.07 for each minute of calls.
a. For what amount of calling do the two plans cost the same? minutes
b. What is the cost when the two plans cost the same? $
Answers
Answer: 72
Plan A = 30 +0.15x
Plan B = 16 +0.20x
30+0.15x = 16+0.20x
subtract 16 from each side
14 +0.15x = 0.20x
subtract 0.15x from each side
14=0.05x
x = 14/0.05 = 280 minutes
280*0.15 = 42 +30 = $72
280 * 0.20 = 56 +16 = 72
280 minutes and cost $72 each
Step-by-step explanation:
how many perfect squares less than 1000 are divisible by 8. Will pick brainliest if possible!!!!!!!!!!!!!
Answers
Answer:
30 (not including 1 because 1 is not BETWEEN 1 and 1000).
Step-by-step explanation:
The slope of a line is -1/5, and the y-intercept is 5. What is the equation of the line written in general form?
x - 5y - 5 = 0
x - 5y - 25 = 0
x + 5y - 25 = 0
Answers
Answer:
x + 5y - 25 = 0
Step-by-step explanation:
Equation of line in slope intercept form is given as:
[tex]y = mx + b \\ \\ plug \: m = - \frac{1}{5} \: \: and \: \: b = 5 \\ \\ y = - \frac{1}{5} x + 5 \\ \\ 5y = - x + 25 \\ \\ x + 5y - 25 = 0[/tex]
Answer:
x + 5y - 25 = 0
A man stands on the shore 85m from a light house. When he looks at the top of the
lighthouse, the angle of elevation created is 44.. Calculate how tall the light house is and
explain how you found your answer. *
Answers
Answer:
ai ei tu 7uhg click uddog corruption it v if hug hug yeh uff ye eggDerrick needs to sell a minimum of 100 orders each month to make it into the sales winners circle. He has already sold 45 orders this month. He still needs to sell s more orders. Which inequality can be used to find the possible values for s? s−45>100
s−45<100 s+45≤100 s+45≥100
Answers
Answer:
s+45≥100
Step-by-step explanation:
"A minimum of" means either the same amount or more. So, the total amount he sells (s + 45) needs to be greater than or equal to 100.
- 11 2/3 x (-4 1/5)=?
Answers
is this exponential growth or decay y=6e^-x
Answers
Answer: It's always decreasing/decaying.
Step-by-step explanation: To find if it is increasing or decreasing, graph the exponential problem.
1. Start at the top.
2. Look at the exponent.
The exponent is -x. Since negative means opposite/down, it goes down.Therefore, it's always decaying.
Darius and Khadija are learning to play chess. Darius's ratio of wins to losses is 5 to 13. Khadija's ratio of wins to losses is 3 to 9. Who has the better winning record?
Answers
Answer:
Darius
Step-by-step explanation:
Darius has played a total of 18 games so divide that by the five wins and you can see how many wins he would get on average wich is 0.28. Khadija won 3 out of 12 games so he/she has 0.25 average
Which of the following products is negative? 4 A -31-7) B-3.7567 4 © 6.5. 4.25 D -5.5(-0.25)
Answers
Answer:
the answer is D and just keep practicing
Find the slope ......
Answers
The slope for this problem is -4/3.
Step-by-step explanation:
To find the slope, we can look at it as Rise/Run. The rise is how many units up (+) a point is or how many units down (-) a point is from the starting point. The rise is how many units to the left or right a point is from the starting point.
Now that we understand Rise/Run, we can find the slope. If we go from the highest point, or the point farthest to the left in the picture shown, we can see that we need to go four units down to get to the same level as the next point, so we would be moving -4 units away from the point. We can also see the second point is 3 units to left.
With this information, we can now figure out that the slope is -4/3.
Don't hesitate to ask any questions.
Answer:
m =rise/ran=y2-y1/x2-x1
m=slope
(x1, y1)=coordinates of first point in the line
(x2, y2)=coordinates of second point in the line
Step-by-step explanation:
find points.
then use formula & solve.
pls help me i need to write this for an exam
Describe how you determine the sign of the sum,difference,product,and quotient of two integer numbers
Answers
Answer:
i would ask someone else sorry
Step-by-step explanation:
Which of the division expressions below has a remainder? Select all that apply.
A) 234 : 4
B) 1,350 = 9
C) 794 : 6
D) 812 : 8
E) 12,416 : 4
Answers
Answer: 8
Step-by-step explanation:
Answer:
A, C, D
Step-by-step explanation:
(Solving equations by addition)
Can somebody plz help answer these questions like what to solve it. Thanks :D
WILL MARK BRAINLIEST WHOEVER ANSWERS FIRST
Answers
x = 6
2.) 4
3.) 5
4.) 7
5.) 5
7 times m help helpp
Answers
What is the equation of the additive relationship represented by this table?
Enter your answer by filling in the box using an integer.
x y
9 5
12 8
Answers
Answer:
-1
Step-by-step explanation: hope this helps
¿El 48 es multiplo de 2? _________ ¿por que?
ayuda es para hoy
Answers
Answer:
si 48 es múltiplo de 2 ya que al multiplicar 2. 24 da 48
what is 3/4b>15 solution
Answers
The solution set of the given inequality is {b| b > 20}.
How to solve the inequality?Here we have the inequality (3/4)b > 15 and we want to solve it. To do so, we just need to isolate the variable b.
And to do it, we can work with this like we would do with any equation, we can just multipy both sides by (4/3) so we get:
(4/3)*(3/4)*b > 15*(4/3)
b > 20
Then the solution set can be written as {b| b > 20}
That is the set of all values larger than 20.
Learn more about inequalities at:
https://brainly.com/question/24372553
#SPJ1
You started the trail with 1400lbs. of food. You now have 1182lbs. of food. What percentage of your starting amount do you have left?
Answers
Answer:
84.5%
Step-by-step explanation:
1400 - 1182 = 218 You are less 218 lbs. of food.
218 ÷ 1400 = 15.5% You are less 15.5% lbs. of food.
100% - 15.5% = 84.5% You have 84.5% lbs if food left.
Reflection over the line y = -x of the point (1,3)
Answers
Answer:
(-3,-1)
Step-by-step explanation:
To reflect them you gotta switch their places and change their signs from positive to negative.
so (x,y) -> (-y,-x)
What are TWO different ways you know when you are finished dividing?
PLZ HELP I WILL GIVE YOU BRAINLIEST!
Answers
Determine whether the graph represents a function. Explain.
Answers
Answer:
it does not represent a function
Step-by-step explanation:
it is not liner
Answer:yes
Step-by-step explanation:
each x value has one y value
Describe the lines in the figure below identify the figure
Answers
Answer:
The lines are congruent, the figure is a parallelogram.
Answer:
The figure shown is a parallelogram.
The lines on the sides are parallel
And the line on the top and the line on the bottom are parallel
Step-by-step explanation:
what is the answer for
k + 0 = k
Answers
Answer: k=1 which equals 1k.
Step-by-step explanation:
k+0=k
k is really 1k
so the real equation is 1k+0=1k because 1k+0 means nothing really it's still 1k.
(HELP PLEASE - URGENT)
The elevation of a sea animalis -20 meters.
Choose all elevations that are greater than the elevation of the sea animal.
A. 5 meters
B. -16 meters
C-40 meters
D. O meters
E.-22 meters
Answers
Answer:
5,0 and -16
Step-by-step explanation:
Answer:
A, B, D
Step-by-step explanation:
-20<5
-20<-16
-20>-40
-20<0
-20>-22
b.
X = 4y + 3
2x - 4y = -10
Answers
Answer:
[tex]x = - 13 \: \: and \: \: y = - 4[/tex]
Step-by-step explanation:
[tex]x = 4y + 3......(1) \\ 2x - 4y = - 10.....(2) \\ \\ \\ x - 4y = 3......(1) \\ 2x - 4y = - 10...(2) \\ - x = 13 \\ x = - 13 \\ from(1) \\ x - 4y = 3 \\ - 13 - 4y = 3 \\ - 4y = 16 \\ y = - 4 \\ [/tex]
