Use logarithms to solve the equation for t. (Round your answer to two decimal places.)
2000/(1 + 6e−0.7t) = 1000

Answers

Answer 1

9514 1404 393

Answer:

  2.56

Step-by-step explanation:

Multiply by (1+6e^(-.7t))/1000:

  2000/1000 = 1 +6e^(-0.07t)

  1 = 6e^(-0.07t) . . . . . . . . . subtract 1

  e^(0.07t) = 6 . . . . . . . . . . multiply by e^(0.07t)

  0.07t = ln(6) . . . . . . . . . take the natural log

  t = ln(6)/0.07 . . . . . . . divide by the coefficient of t

  t ≈ 2.55966 ≈ 2.56


Related Questions

What is P55 ? 5 25 1 120

Answers

what are you talking about?

Answer:

120

Step-by-step explanation:

I took the test

Which is the graph of f(x) = 5(2)*?
O
40
20
(2, 20)
(0.5)
4 -3 -2 -1
1 2
3
4
5 6 x

Answers

Answer:

the graph is this one , I send the picture

-10(x + 5) =-140. what is x​

Answers

Answer:

X= -19 ..............

..

Help help please math math please

Answers

Answer:

n = 6

Step-by-step explanation:

6÷4 = 9÷n

6n = 9*4

6n = 36

n = 6

Factor completely. 81 p 8 − 100 =

Answers

Answer:

Step-by-step explanation:

[tex]81p^8-100=(9p^4)^2-10^2\]\]=(9p^4+10)(9p^4-10)\]\[=((3p^2)^2-(\sqrt{10} )^2])\]\\=(3p^2+\sqrt{10} )(3p^2-\sqrt{10} )\\[/tex]

Write the point slope form of the equation with the given characteristics:
Slope = 1/2; x intercept = 3

Answers

Answer:

point-slope form: y - 0 = ½(x - 3)    

Step-by-step explanation:

Given the slope, m = ½, and the x-intercept, (3, 0):

We can substitute these values into the point-slope form:

y - y1 = m(x - x1)

y - 0 = ½(x - 3) ←  This is the point-slope form.

If ever you need to transform the point-slope form into its slope-intercept form, y = mx + b:

Distribute ½ into the parenthesis:

y - 0 = ½(x - 3)

y = ½x - 3/2  (this is the slope-intercept form).

If an object accelerates at a rate of 3 m/s2, it will exert a force of 15 N. How much force will the same object exert if it accelerates at a rate of 7 m/s2?

Answers

Answer:

13 newtons

Step-by-step explanation:

21 N force will the same object exert if it accelerates at a rate of 7 m/s².

What is force?

A force is an effect that can alter an object's motion according to physics. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to define force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.

Given:

F =  15N

a= 3 m/s²

Now, Force = mass x acceleration

15 = mass x 3

mass = 5Kg

Now, the acceleration is 7 m/s²

F = m x a

F = 3 x 7

F = 21 N

Hence, the force exerted is 21 N.

Learn more about force here:

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#SPJ2

I don’t wanna fail if you know the answer pls tell me

Answers

0.12 is the correct answer

what is the sum of 71/5 + 2 4/5 = N
A.9 5/5
B. 10
C. 10 5/5
D. 9 1/2​

Answers

Answer:

A

Step-by-step explanation:

71/5 + 24/5 = N

Since the denominator is the same for both values, we can add them together.

71+24 / 5 = 95/5

We can prove this since 71/5 = 14.2 and 24/5 = 4.8

14.2 + 4.8 = 19

95/5 = 19

Need Help ASAP! Not too hard

Answers

Answer:

Step-by-step explanation:

Karan uses
of a tin of baby food each day for her baby.
Karan and her baby are going on a 7-day holiday.
What is the least number of tins of baby food that Karan must bring with her?
Show your working.

Answers

Since Karen uses a tin each day for her baby and she’s going on seven day holiday 7 times 1 is 7 so basically the least number of baby foods Karan must bring with her is 7 just because that’s how much she eats in a normal week but Incas she wants to snack or eat she can with the extras . Please mark me brainliest hope it helps

Solve.

−0.4x−3.1=5.9

Enter your answer as a decimal or as a mixed number in simplest form in the box.

x =

Answers

The solution to the algebraic equation, −0.4x − 3.1 = 5.9, is: x = -22.5

Given the algebraic equation, −0.4x−3.1 = 5.9, to solve for x, follow the steps below:

−0.4x − 3.1 = 5.9

Add 3.1 to both sides

−0.4x − 3.1 + 3.1 = 5.9 + 3.1

-0.4x = 9

Divide both sides by -0.4

-0.4x/-0.4 = 9/-0.4

x = -22.5

Therefore, the solution to the algebraic equation, −0.4x − 3.1 = 5.9, is: x = -22.5

Learn more here:

https://brainly.com/question/16864747

PLEASE HLEP ME IM CRYING J WIL GIVE BRAIBLIST

Answers

Answer:

Step-by-step explanation:

The two angles can be 48.75 which if you add all those together would be 180 degrees

Sorry if it might be wrong but if its right can you mark me branliest

Answer:

39° and 58.5°

Step-by-step explanation:

The tree indicated angles form a straight angle:

2x + 3x + 82.5 = 1805x = 180 - 82.55x = 97.5x = 97.5/5x = 19.5

The angle 2x:

2*19.5 = 39°

The angle 3x:

3*19.5 = 58.5°

5.5 minutes = 330 seconds
A. True
B. False

Answers

Answer:

True

Step-by-step explanation:

330 Seconds = 5.5 Minutes = 5 Minutes and 30 Seconds

Answer:

False :-

Step-by-step explanation:

5 mins = 300 secs

crows are migrating and travel 35 km on a bearing of 047°. Then then fly 15 km of a bearing of 105°. How far , and on wha…

Answers

Answer:

American Crows can be considered partially migratory. That is, some populations migrate, others are resident, and in others only some of the crows migrate. Crows in the southern parts of their range appear to be resident and not migrate. They may make some changes in their use of space at this time, spending more time off the territory to forage and roost. Crows migrate out of the northern most parts of their range. It has been stated that crows migrate out of those areas where the minimum January temperature averages 0 ° F. Certainly crows leave the northern Great Plains in the fall, leaving Saskatchewan and Alberta to winter in the lower Plains states of Nebraska, Kansas, and Oklahoma (Kalmbach, E. R., and S. E. Aldous. 1940. Winter banding of Oklahoma crows. Wilson Bull. 52: 198-206). Crows can be seen crossing the Great Lakes in spring and fall, and these birds undoubtedly are migrating to and from parts of Canada.

Step-by-step explanation:

because  They may make some changes in their use of space at this time, spending more time off the territory to forage and roost. Crows migrate out of the northern most parts of their range. It has been stated that crows migrate out of those areas where the minimum January temperature averages 0 ° F.

pleaseeeeee help me with this.

Answers

Answer:

Step-by-step explanation:

2 is like terms

1 one is coeff

3 is const

4 is  expression

5 is trem

6 is variable

The points represented by the table like on a line. Find the slope of the line.
х
2
2
2
2
y
-6
3
-7
1

Answers

Answer:

undefined slope

Step-by-step explanation:

There us change in rise but no change in run or x value. This means is a vertical line and it's slope is undefined.

Find the missing lengths of the sides.

Answers

Answer:

I would go with 3rd option

I used Pythagorean Theorem and my answer is that

a=3sqrt3

b=3

Step-by-step explanation:

Not sure why it's backwards I checked and rechecked, so let me know.

1. The miles traveled in 5 hours at a rate of 189 miles in 3 hours?

Special gift if you answer it right!

Answers

Answer:

312 miles were traveled in 5 hours

Step-by-step explanation:

solve pls brainliest

Answers

Answer: 100.4

Step-by-step explanation: 800 - 699.6 = 100.4

answer- 100.4

explanations is

What are the domain and range of the function below?

A. Domain: (-∞,-5)
Range: (5,∞)

B. Domain = (-∞,∞)
Range: (-10,5)

C. Domain: (-5,10)
Range: (-10,5)

D. Domain: (-∞,∞)
Range: (-∞,∞)

Answers

Answer:

D

Step-by-step explanation:

the graphic does not indicate any limitation in any form in any direction.

compared to a default y = x function this function is just shifted a bit. but that does not block x or y from "running" all the way from -infinity to +infinity.

What is jk? Please help asap!!!

Answers

Answer:

20 m

Step-by-step explanation:

We can see from the hatch marks that JK is equal to one half of HG

2(6x - 4) = 10x

12x - 8 = 10x

2x - 8 = 0

2x = 8

x = 8/2

x = 4

therefore to find JK we will substitute x with 4

JK = (6(4)-4) = 24 - 4 = 20m

Who ever answers first will be marked brainliest

Answers

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form:

x≥9

Interval Notation:

[9,∞)

Step-by-step explanation:

A scale model of the Great Pyramid of Giza is being installed in a museum. The edges of the square base have lengths of 5.6 feet and the height of the pyramid is 7.86 feet. Using these measurements, to how many significant figures could the volume of the pyramid be reported? Please help !!!
A. 1 significant figure
B. 2 significant figures
C. 3 significant figures
D. 4 significant figures

Answers

The answer to the question to how many significant figures could the volume of the pyramid be reported is B. 2 significant figures.

Since in multiplication, we cannot have more significant figures than the number with the least significant figures. So, the number of significant figures in our volume of the pyramid will be 2 since, the length of side of its square base measures 5.6 feet which is one significant figure less than that of its height which is 7.86 feet.

Since volume = area of base × height

volume = 5.6 × 5.6 × 7.86 ft³

So, the answer volume of the pyramid will have 2 significant figures.

The answer to the question to how many significant figures could the volume of the pyramid be reported is B. 2 significant figures.

Learn more about significant figures here:

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Select the correct answer.
24c^6 - 32c^4
Which expression is equivalent to
8c^3 ? Assume that the denominator does not equal zero.

Answers

Answer:

B: [tex]c(3c^2-4)[/tex]

Step-by-step explanation:

1. Substitute [tex]1[/tex] for c: [tex](24^6-32^4)/(8^3)[/tex]

2. Solve substitution: [tex]-1[/tex]

3. Compare [tex]-1[/tex] to calculated answers when [tex]c=1[/tex]

4. [tex]c(3c^2-4)[/tex] when [tex]c=1[/tex] is [tex]-1[/tex]

840/1152 simplified please ​

Answers

[tex] \bf \frac{840}{1152}^{(4} = \frac{210}{288}^{(6} = \frac{35}{48}[/tex]

Hello!

[tex]\frac{840}{1152}[/tex]

Divide by 2:

[tex]\frac{420}{576}[/tex]

Divide by 2 again because the fraction is not in its simplest form:

[tex]\frac{210}{288}[/tex]

Divide by 2 again:

[tex]\frac{105}{144}[/tex]

Divide by 3:

[tex]\frac{35}{48}[/tex]

And we are done! Hope this helps!

~Just a joyful teen

[tex]SilentNature\\(GraceRosalia)[/tex]

To form the blue parallelogram, the red parallelogram is dilated using point A as the
center of dilation. Which statement is true?

Answers

Answer:

option b

Step-by-step explanation:

have a great day

pls mark as brainliest

Answer:

B

Step-by-step explanation:

what are 2 different ways to rewrite 3/8

Answers

6/16 and 9/24 :) if this helps pls let me know!! To find equivalent fractions, multiply the numerator and denominator by the same number!

Answer:

3/8 can be 3:8 or 3n:8n or 3n/8n where n is not zero

Step-by-step explanation:

I need help please and thanks
Number 9

Answers

Answer:

x= 1.75

Step-by-step explanation:

Solve the photo displayed above ⬆️

Answers

Answer: 216

Step-by-step explanation:its just 6x6x6

6*6*6=216 we will multiply 6 three times because its to the power of cube
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