Consider the equation 6*e^{0.25t}=9

Solve the equation for t. Express the solution as a logarithm in base-e.

Approximate the value of t. Round your answer to the nearest thousandth

Answers

Answer 1

Answer:

t = ln1.5/0.25

t = 1.622

Step-by-step explanation:

Gives the equation, 6*e^{0.25t}=9

We are to find t

6*e^{0.25t}=9

e^{0.25t}=9/6

e^{0.25t}= 1.5

Apply ln to both Sides

ln( e^{0.25t) = ln1.5

0.25t = ln1.5

t = ln1.5/0.25

t = 1.622


Related Questions

solve the simultaneous equations
5x + 6y = 3
2x - 3y = 12

Answers

Answer: x =3; y = -2

[tex]\left \{ {{5x+6y=3} \atop {2x-3y=12}} \right.\\\\<=>\left \{ {{x=\frac{3-6y}{5} } \atop {2x-3y=12}} \right.\\\\<=>\left \{ {{x=\frac{3-6y}{5} } \atop {2.\frac{3-6y}{5}-3y =12}} \right.\\\\<=>\left \{ {{x=\frac{3-6y}{5} } \atop {6-12y-15y=12.5}} \right.\\\\<=>\left \{ {{x=\frac{3-6y}{5} } \atop {17y=6-60=-54}} \right.\\\\<=>\left \{ {{x=\frac{3-6y}{5} } \atop {y=-54/27}} \right.\\\\\\ <=>\left \{ {{x=\frac{3-6y}{5} } \atop {y=-2}} \right.\\\\<=>\left \{ {{x=3} \atop {y=-2}} \right.[/tex]

Step-by-step explanation:

Answer:

x = 3, y = -2.

Step-by-step explanation:

5x + 6y = 3

2x - 3y = 12           Multiply this by 2:

4x - 6y = 24           Now add this to the first equation:

9x = 27

x = 3.

Substitute x = 3 in the second equation:

2(3) - 3y = 12

-3y = 12 - 6 = 6

y = 6 / -3

y = -2.

Coach McGee uses the table to show her team’s current basketball shot average compared to previous years.

2008
2009
2010
–5.8
4.4
StartFraction 37 Over 10 EndFraction
2011
2012
2013
3.6
4 and one-third
Negative 5 and three-fourths


Which comparison is true? Use the number line to help you.

A number line going from negative 6 to positive 6 in increments of 1.

Negative 5.8 > Negative 5 and three-fourths
3.6 4.4

Answers

Answer: The answer is B, 3.6 < 37/10

Answer: I believe that your answer is B.

37/10 is greater than 3.6.

I hope I helped you!

The data represent the results for a test for a certain disease. Assume one individual from the group is randomly selected. Find the probability of getting someone who tests ​negative, given that he or she has the disease.

Answers

Answer:

[tex]Probability = 0.0470[/tex]

Step-by-step explanation:

This question has missing detail. (See attachment for the data)

Required

Determine the probability that a selected individual who has the disease test negative.

This type of probability is referred to as conditional probability.

First, we need to get the number of individuals who have the disease.

[tex]Disease =142 + 7[/tex]

[tex]Disease =149[/tex]

Next, we list out the number of individual who have the disease but is negative.

[tex]Negative = 7[/tex]

The probability is then calculated as:

[tex]Probability = \frac{Negative}{Disease}[/tex]

[tex]Probability = \frac{7}{149}[/tex]

[tex]Probability = 0.04697986577[/tex]

[tex]Probability = 0.0470[/tex] (approximated)

What is a fraction equivalent to 4/4? Explain how you know.

Answers

Answer:  Any number over itself is equivlent to 4/4.

Examples: 3/3, 18/18, 5/5, 90/90

Step-by-step explanation:

Because 4/4 is equivalent to 1 whole.

A fraction that is equivalent to 4/4 would be, 5/5 as, After simplifying the fraction 5/5 is equal to 1.

A fraction is a part of the whole number and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called a fraction.

Given that,

The fraction is,

⇒ 4/4

Now, after simplifying the fraction we get;

⇒ 4/4

⇒ 1

So, Let a fraction that is equivalent to 4/4 would be;

⇒ 5/5

After simplifying we get;

⇒ 5/5 = 1

Therefore, A fraction that is equivalent to 4/4 would be, 5/5

To learn more about the fraction visit:

https://brainly.com/question/5454147

#SPJ6

Car dealership pays a wholesale price of $10,000 to purchase a vehicle if they mark up the price 20% what is the retail price of the car

Answers

Answer:

8000

Step-by-step explanation:

10000 x 20% = 2000

10000-2000= 8000

5 What is the value of m? Show your work 3 5 (2m - 5) = 2(3m - 4)​

Answers

Answer:

70m-175=6m-12

70m-6m=175-12

64m=163

m=163/64

Determine whether the function g(x)= -x +2 is increasing or decreasing.​

Answers

Answer:

its decreasing :) the person above me is correcto

write a polynomial equation for each set of roots 5 and 7

Answers

Answer:

x²-2x-35

Step-by-step explanation:

(x-7)(x+5)

x²+5x-7x-35

x²-2x-35

Fill in the missing reason in proof.

Answers

Answer:

SAS

Step-by-step explanation:

As per steps given the congruent pairs are:

AB and ACBD and CDAngle B and angle C

So two sides and included angle - it represents side-angle-side or SAS congruency theorem

Can you help me with this please. I will mark brainlist

Answers

Answer:

E is [tex]\frac{1}{2\\}[/tex] F is 6[tex]\frac{1}{4}[/tex] and G is [tex]1\frac{1}{2}[/tex]

Step-by-step explanation:

Please help i was crying :(
Also there is another one
“Subtract. Write Your answer in simplest form” which is: 6 3/4 - 2 3/20

Answers

4 and 3 fifths i think 4 3/5

Answer:

is it 4 3/5 it might be

Step-by-step explanation:

Which expression is equivalent to 8(x + 2)?
(A was wrong) C 8x + 16
B 8 + x + 8 + 2 D 8x + 10

Answers

i believe it is C when you distribute: 8*x is 8x and 8*2 is 16
I’m 80% sure is C ....

HELP PLEASEEEEEEEEEEEEEEE ITS A GRADE

Answers

Answer:

1. b

2. d

3. a

4. A

Step-by-step explanation:

Answer: ITs A

Step-by-step explanation:

Because they are all real numbers and the other options are incorrect

Boden's account has a principal of $700 and a simple
interest rate of 3.7%. Complete the number line. How much
money will be in the account after 4 years, assuming Boden
does not add or take out any money?

Answers

Answer:

823.2

Step-by-step explanation:

Interest = 700 × 4.4/100 × 4 = 123.2

Balance = Principle + interest

700 + 123.2 = 823.2

Answer - 823.2

Hope this helps!!!

Let see if this work

Answers

Answer:

i really dont know what you are saying, but thanks for the points and have a nice day! always smile peeps!

happy holidays! please help me, it's algebra 2!

Answers

Answer:

Answer Choice B

Step-by-step explanation:

f(x) is just another way of saying y=.

To inverse, just flip the x & y and isolate the y variable.

[tex]x=-y^3-9\\x+9=-y^3\\-x-9=y^3\\\sqrt[3]{-x-9}=y[/tex]

Arrange the integers 1,4,8,12,17,32 so that all consecutive integers add to a perfect square. Enter your answer with numbers separated by commas.​

Answers

One possible answer is: 1, 8, 17, 32, 4, 12

I don't know if there's a methodical way to get this answer. I used trial and error. I started with 1 and looked through the list to see what adds to 1 to get a perfect square. That would be 8 since 1+8 = 9 = 3^2

The process is repeated but this time for 8. After a bit of guess and checking, we see that 8+17 = 25 = 5^2.

Then after 17 is 32 because 17+32 = 49 = 7^2.

Keep doing this until all of the values are used up. If you get stuck, then try backtracking to a previous branch/path where everything worked and try another fork in the road. If that doesn't work, then try starting the sequence with a completely different value (instead of 1).

Other answers may be possible. I haven't checked all possible permutations.

i need help with this pls

Answers

Answer:

8x + 12 + 2x + 28 = 180

x = 14

Step-by-step explanation:

8x + 12 + 2x + 28 = 180

8x + 2x + 12 + 28 = 180

10x + 40 = 180

      -40      -40

10x  = 140

10        10

x = 14

any more help just ask :)

Sasha made cups of lemonade to sell at her stand. She sold 9 cups of lemonade in the first hour. For each hour after that, she sold five cups. She was outside for a total of 4 hours. How many cups of lemonade did she sell?

Answers

Answer:

first hour=9 cups

the next three hours,five cups each=15 cups

15+9=24 cups

Factor 16x – 12 by the GCF.

Answers

Answer:

148 i thk i did 16x-12

Step-by-step explanation:

Calcular el valor de x en la siguiente figura

Answers

Answer:

demos los

Step-by-step explanation:

How long does it take for the contestant to go from A to D if 15 feet is a second. I got 13.333 seconds but it says im wrong. Can someone help me out please

Answers

The answer is 5 the answer is 5
Answer:   13.3 seconds

========================================================

Explanation:

Since triangle ABD is congruent to triangle CBD, this means the corresponding pieces AB and BC are the same length. Both are 70 feet.

Similarly, AD = DC = 60 ft.

The total length traveled is:

AB+BC+CD = 70+70+60 = 200 ft

We never use BD = 50 at all.

Divide this total distance over the speed of 15 ft per second, and we get 200/15 = 13.333 seconds approximately.

You are correct so far. You just need to round this value to the nearest tenth, as the instructions indicate. So you'll round to one decimal place. The value 13.333 turns into 13.3 which is the final answer.

Find the volume of a right circular cone that has a height of 15.2 cm and a base with a diameter of 11.9 cm. Round your answer to the nearest tenth of a cubic centimeter.

Answers

9514 1404 393

Answer:

  563.5 cm³

Step-by-step explanation:

Use the formula for the volume of a cone:

  V = (1/3)πr²h

Recognize that the radius is half the diameter:

  r = (11.9 cm)/2 = 5.95 cm

  V = (1/3)π(5.95 cm)²(15.2 cm) ≈ 563.516 cm³

The volume of the cone is about 563.5 cm³.

_____

Additional comment

If you use 3.14 for the value of π, then the result will be 563.2 cm³.

What is
0.74314482
as a fraction?

(I don’t have my TI Calculator with me and that is what I need to figure out this question)

Answers

The answer is

3715731 over 5000000

I need help, please
it is do tomorrow

Answers

Answer:

21 millimeters

Step-by-step explanation:

ummmm yes

Adam divides 8032 x 32 in which place write the first digit of the quotient

Answers

Answer:

100

Step-by-step explanation:

8032\32

what is the length of a chord at a distance for 4 cm away from the centre of a circle of radius 5 cm​

Answers

See attachment for math work.

We must reject x = -3 because distance is positive.

The value of x is 3.

Chord = 2x

Chord = 2(3)

Chord = 6 cm

What is the most profound problem in maths?
No answer needed, just take the points.

Answers

Answer:

SWEEEET!!

Step-by-step explanation:

:D

Answer:thx so much I needed them

Step-by-step explanation:

Chris is trimming trees. He can trim 2/3 of a tree in 1/2 of an hour. At what rate can Chris trim trees​

Answers

Answer:

1 tree every 45 mins

Step-by-step explanation:

Answer:

he trims i 1 and 1/3 trees an hour

it would take him 45 minutes to trim 1 tree

Step-by-step explanation:

A bowl holds 4 cups of rice if I use a measuring cup that holds 1/8 of a cup how many times will I need to fill the measuring cup in order to fill the entire bowl

Answers

Answer:

32 times

Step-by-step explanation:

It's SUPER easy, all you have to do is take that 1/8 and make it into a regular 8. Now all you do is multiply 4 by 8.

I know there's probably some way the teachers taught that's so much harder then it already is, but if you try to look at it from an easier perspective, you'll be a pro!

Try some more so you'll slowly start getting better at them! Anyway I hope this helped!!

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