What are the solutions to the equation below: 4x^x+1 = 5^-x (100 points) THERE IS MORE THAN ONE ANSWER
Answers
[tex]\\ \rm\rightarrowtail 4^{x+1}=5^{-x}[/tex]
[tex]\\ \rm\rightarrowtail ln4^{x+1}=ln5^{-x}[/tex]
[tex]\\ \rm\rightarrowtail (x+1)ln4=-xln5[/tex]
[tex]\\ \rm\rightarrowtail xln4+ln4=-xln5[/tex]
[tex]\\ \rm\rightarrowtail xln4+xln5=-ln4[/tex]
[tex]\\ \rm\rightarrowtail x(ln4+ln5)=-ln4[/tex]
[tex]\\ \rm\rightarrowtail x=\dfrac{-ln4}{ln4+ln5}[/tex]
[tex]\\ \rm\rightarrowtail x=\dfrac{-ln4}{ln20}[/tex]
Option F is correct
Related Questions
One sponsor will donate $80 just for entering the race. Another sponsor will donate $12 for each mile she walks. How many miles should she walk if she wants to raise exactly $200 from those two sponsors?
Answers
Answer:
10 miles
Step-by-step explanation:
first you subtract 80 from 200
200-80= 120
then you divide 120 by 12
120/12= 10
she will need to walk 10 miles in order to raise 200 dollars
hope this helped!
Solve for x in the diagram below (6x-2)
Answers
Answer:
x=12 is the answer to this question
Dante watched a video for 3/8 minutes. He watched another video for 1/8 minutes.
For how long did he watch videos in all?
Write your answer as a fraction in simplest form.
Answers
Answer:4/8 are u in pre?
Step-by-step explanation:
Justin builds a triangular fenced area for his dog called Triangle ABC. If AB = 17 ft and BC = 8ft, and angle C is a right angle, which of the following are true? Select all that apply.
ロThe missing side measures 12.5 ft.
ロ The missing side of the fence measures 15 ft.
ロ The perimeter of the fence is 40 ft.
ロ The perimeter is 37.5 ft.
ロ The area inside the fenced in section is 60 sq ft
ロ The area inside the fenced section is 68 sq ft.
Answers
The missing side of the fence measures 15 ft
The perimeter of the fence is 40 ft
The area inside the fenced in section is 60 ft²
The fence is triangular and a right triangle.
Right triangle:A right triangle has one of its angle as 90 degrees. Therefore, the sides can be found using Pythagoras theorem.
c² = a² + b²
17² - 8² = b²
b = 15 ft
AC = 15 ft
perimeter of the triangle = 15 + 8 + 17 = 40 ft
Area of the triangle = 1 / 2 × 15 × 8 = 60 ft²
Therefore,
The missing side of the fence measures 15 ft
The perimeter of the fence is 40 ft
The area inside the fenced in section is 60 ft²
learn more on right angle triangle here; https://brainly.com/question/2192748
For one photography session, Dexter earns no less than $50, but no more than $100. Which inequality can be used to represent his earnings, e?
e ≥ 50 or e ≤ 100
e > 50 or e < 100
50 < e < 100
50 ≤ e ≤ 100
Answers
Answer:
The 4th - 50 ≤ e ≤ 100
Step-by-step explanation:
Hope this helps!
Answer:
D
Step-by-step explanation:
[tex]50 \leqslant e \leqslant 100[/tex]
this is because e is greater than 50 but 100 is greater than e
pls give brainliest
At an intersection, the red-light times are normally distributed with a mean time of 3 minutes and a standard deviation of 0. 25 minutes. Using the empirical rule, approximately what percent of red lights last between 2. 5 and 3. 5 minutes? 32% 68% 95% 99. 7%.
Answers
The red light lasts between 2.5 minutes and 3.5 minutes is 95 %. Then the correct option is C.
What is normal a distribution?It is also called the Gaussian Distribution. It is the most important continuous probability distribution. The curve looks like a bell, so it is also called a bell curve.
At an intersection, the red-light times are normally distributed with a mean time of 3 minutes and a standard deviation of 0. 25 minutes.
In this case, the mean is 3 and the standard deviation is 0.25, We move one space to the right that would represent 3.25 minutes, one more space to the right that is 3.50 minutes. Similarly, we move one space to the left, this would be 2.75, one more space to the left, and the shows 2.50 minutes.
Thus, the correct option is C.
More about the normal distribution link is given below.
https://brainly.com/question/12421652
The relationship between the total distance traveled in miles, y, and time, in hours, x, can be described by the equation y=65x. What is the constant of proportionality?
Answers
Expand
3(x + 4)
Could you explain the answer as well and I hope u have an amazing day if your reading this<33
Answers
Answer:
See below.
Step-by-step explanation:
3(x+4)
You multiply 3 by all of the terms in the parenthesis.
3*x and 3*4
The simplified product is 3x+12.
-hope it helps
helppppppppppppp:))))
Answers
please please please please please please
Can the side lengths of 4, 8, and 14 form a triangle?
Answers
Answer:
No.
Step-by-step explanation:
8+4, the sides is not greater than 14, so no.
Suspensions require active mixing to stay suspended
Answers
Answer:
any other part of the question?
Step-by-step explanation:
find the degree measure of angle a in the diagram below
Answers
Answer: 30
Step-by-step explanation:
Is this correct? If not what is the correct answer
Answers
Answer:
it would be the first one
Step-by-step explanation:
4. April took out a $600 loan from the
bank. At the end of 5 years, she pays
back the principal, plus $60 simple
interest. What was the interest rate?
7. Cora's
weigh
thev
perc
rou
1 of 2
Assessment, Form A
Answers
Answer:
60/600=.1
.1/5=.02=2% interest rate over 5 years
How much will you have in 10 years?
Answers
Answer:
$4439.28
Step-by-step explanation:
The future value is computed using the formula ...
FV = P(1 +r/n)^(nt)
where P is the principal invested at annual rate r compounded n times per year for t years.
Using the given values, the future value is ...
FV = $2000(1 +0.08/12)^(12·10) ≈ $4439.28
You will have $4439.28 in the account after 10 years.
Given 8x=-24, What is the value of x?
a. -3
b. 12
c. -2
d. 3
Answers
Answer:
divide both sides by 8.
x=-3
At the book store you purchased some $5 clearance mystery books and $12 regular priced science fiction books how many of each did you buy if you spent a total of $126?
5 mystery and 9 sci-fi
6 mystery and 8 sic-fi
7 mystery and 7 sci-fi
8 mystery and 6 sci-fi
Answers
Answer:
To find the answer to this question, we have to multiply the number of books by the price, then add the prices together. I did this, but it seemed that none of the answer choices are correct. Make sure you included all important information that we need to answer the question.
Step-by-step explanation:
when 25 percent is allowed,a customer pays Rs 1680 to buy a watch.Find the cost of the watch before the discount.
Answers
Answer:
nobody knows, go to a shop
Step-by-step explanation:
Percentage discount =25%
Therefore percentage that the customer bought = 100 - 25= 75%
If 75% = Rs 1680
then 100% =100 x 1680/75
= Rs 2240
Hence the cost of the watch before discount is Rs 2240
Help me out it’s urgent
Answers
Answer:
sorry but i also dont kbow
There are 100 bacteria in a jar. Every day, the number of bacteria increases 25%. In approximately how many days will there be 500 bactria in the jar? Pick the closest answer.
A. 3
B. 12
C. 10
D. 2
E. 7
Answers
Answer:
E. 7
Step-by-step explanation:
General form of exponential equation: [tex]y=ab^x[/tex]
where [tex]a[/tex] is the initial value, [tex]b[/tex] is the growth/decay rate, and [tex]x[/tex] is time.
Given:
[tex]a[/tex] = 100 bacteria[tex]b[/tex] = 25% increase = 1.25[tex]x[/tex] = number of days⇒ [tex]y=100 \cdot 1.25^x[/tex]
If y = 500, then:
[tex]\implies 500=100 \cdot 1.25^x[/tex]
[tex]\implies 5=1.25^x[/tex]
[tex]\implies \ln5=\ln1.25^x[/tex]
[tex]\implies \ln5=x\ln1.25^[/tex]
[tex]\implies x=\dfrac{\ln5}{\ln1.25}[/tex]
[tex]\implies x=7.212567439...[/tex]
[tex]\implies x \approx7[/tex]
HELPPP FOR BRIANLEST!!!
Answers
Answer:
1/16
Step-by-step explanation:
NOT vanilla and NOT Saturday (1) over total (16)
1/16
What is the inequality?
The movie will be a maximum of 90 minutes long.
Answers
Answer:
it should be 1 hour 30 min long (maybe)
Step-by-step explanation:
suppose ice cream cones were sold on Saturday and were sold on Sunday. What is the 8 + 25 7x − 9 total number of ice cream cones sold?
Answers
Answer:
is a figure giving a long side right in names the point and lines
You open a brand-new savings account January 1, 2021. Every paycheck you earn you deposit $25 into a savings account, and you never make any withdrawals from this account. Your savings account makes 0.01% interest and is compounded monthly. Assuming you get paid every two weeks (twice a month) how much money will you have at the end of the year?
Answers
The amount of money that you will have at the end of the year from your brand-new savings account is $600.69.
What is future value?The future value is the value of periodic cash flows in the future. It can be computed using an online finance calculator as follows:
Data and Calculations:N (# of periods) = 24 (12 X 2)
I/Y (Interest per year) = 0.12% (0.01% X 12)
PV (Present Value) = $0
PMT (Periodic Payment) = $25
Results:
FV = $600.69
Sum of all periodic payments = $600.00 ($25 X 24)
Total Interest = $0.69
Thus, the amount of money that you will have at the end of the year from your brand-new savings account is $600.69.
Learn more about future values at https://brainly.com/question/24703884
What is the 11/30 take away 3/10 in it’s simplest form
Answers
Answer:
1/15 is simplest, answer 2/30
Step-by-step explanation:
11/30 - 3/10. Find LCD
Since it's 30, leave 11/30 how it is and turn 3/10 into 9/30
Next, 11-9=2
meaning 2/30, which if you divide by 2 both sides, you get 1/15.
Carmen buys 153 shares of Cawh Consolidated Banks, each of which pays a constant yearly dividend of $7. 14. After six years, how much has Carmen received in dividends? a. $5,783. 40 b. $1,820. 70 c. $1,092. 42 d. $6,554. 52 Please select the best answer from the choices provided A B C D.
Answers
Answer:
d. $6,554.52
Step-by-step explanation:
1) 153 shares x $7.14 = $1092.42
2) $1092.42 x 6 = $6,554.52
Please help!! Determine if 3 and 4 are linear the explain why it why not
Answers
The second one is not liner because it is not a straight line
Billy’s employer pays for 65% of his annual health insurance premium. billy has the rest deducted in equal amounts from his paycheck. if billy has $105.73 withheld from his paychecks twice each month, how much does his employer contribute towards his health insurance on an annual basis? a. $683.18 b. $1,366.36 c. $2,356.27 d. $4,712.54
Answers
Billy's total annual health insurance premium is $4,712.54. Then the correct option is D.
What is the percentage?The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.
Billy’s employer pays for 65% of his annual health insurance premium.
Billy has the rest deducted in equal amounts from his paycheck.
If billy has $105.73 withheld from his paychecks twice each month.
His employer contributes towards his health insurance on an annual basis.
To get the amount of his employer to contribute towards his health insurance on an annual basis will be
105.73 × 24 = 2537.52
The next step is to calculate Billy's total annual health insurance premium will be
[tex]\rm Health \ insurance \ premium = \dfrac{2537.52 * 0.65}{0.35}\\\\Health \ insurance \ premium = 4712.54[/tex]
More about the percentage link is given below.
https://brainly.com/question/8011401
A bird drops a stick to the ground from a height of 70ft. The function h = -16t^2 + 70 gives the stick's approximate height h above the ground, in feet, after t seconds. Graph the function. At about what time does the stick hit the ground?
Answers
Answer:
√ 80/16=t t=0.5590169943749474
Step-by-step explanation:
The function h(t) = -16t^2 + 70 is a quadratic function, and the stick hits the ground at about 2.092 seconds
Here, we have,
to determine the time it hits the ground:
The function is given as:
h(t) = -16t^2 + 70
Next, we plot the graph of the function h(t)
From the graph of the function h(t) (see attachment), we have the following highlight:
t = -2.092 and t = 2.092 when h(t) = 0
Time cannot be negative.
So, we have:
t = 2.092
This means that the stick hits the ground at about 2.165 seconds
Read more about quadratic functions at:
brainly.com/question/8649555
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Find the equation of a line that passes through the point (3,4) and has a gradient of 1/3. Leave your answer in the form y=mx+c