All exponential functions can be written in many forms. Write the function f(t)=110(1.35)^{\frac{t}{40}}f(t)=110(1.35) 40 t ​ in the form f(t)=ae^{kt}f(t)=ae kt . Round all coefficients to four decimal places.

Answers

Answer 1

Step-by-step explanation:

Given - f(t)=110(1.35)^{\frac{t}{40}}

To find - Write the function in the form f(t)=ae^{kt}. Round all coefficients

               to four decimal places.

Proof -

Given that , the function is  f(t)=110(1.35)^{\frac{t}{40}}

Now,

We can write it in the form of  [tex]f(t) = 110(1.35)^{\frac{t}{40} }[/tex]

By comparing with the form  [tex]f(t) = ae^{kt}[/tex] , we get

a = 110.0000

k = [tex]\frac{1}{40}[/tex] = 0.0250


Related Questions

HELP HELP HELP HELP

Answers

Pythagorean Theorem -

[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]

[tex] {14}^{2} + {13}^{2} = {x}^{2} [/tex]

Simplify the expression!

[tex]365 = {x}^{2} [/tex]

Find x alone.

[tex]x = \sqrt{365} [/tex]

This alone is already simplified, so this is the answer.

Answer: Square Root Of 365

Answer:

19.10 is the answer to the question

HELP!!!! At approximately what value of x do the two lines meet?

Answers

At value of x=4

What is coordinate of a point?

A pair of numbers that describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines  are called coordinates. General form of coordinate is (x, y)

From the graph we can see , coordinates of that point where both the lines are intersecting is (4, -3)

Because x coordinate is = 4

and y coordinate is = -3

At the value of x=4, the two lines intersect each other

Learn more about coordinate system :

https://brainly.com/question/4726772?referrer=searchResults

#SPJ2

Suppose that the weight (in pounds) of an airplane is a linear function of the total amount of fuel (in gallons) in its tank. When graphed, the function gives a line
with a slope of 5.7. See the figure below.
With 46 gallons of fuel in its tank, the airplane has a weight of 2162.2 pounds. What is the weight of the plane with 18 gallons of fuel in its tank?

Answers

Answer:

total plane weight with 82gallons fuel is 2424.80 lbs.

Please answer this! I need a quick answer with work.

Answers

Equations -

1. Input u!

[tex] \frac{2.6 - ( - 1)}{5.8} [/tex]

Solve the problem!

[tex] \frac{3.6}{5.8} [/tex]

[tex] \frac{3.6}{5.8} =0.62[/tex]

Answer:

0.44827586

Step-by-step explanation:

(2.6)(−1)/-5.8=-2.6/-5.8 so you get 0.44827586

Given acd and abe, what is ab?

Answers

Answer:

AB  = 8

Step-by-step explanation:

Using the similarity theorem of a triangle;

AC/AD = AB/AE

AC = AB + BC and AD = AE + ED

AB + BC/AE + ED = AB/AE

Substitute the given values

AB+12/15 = AB/6

Cross multiply

6(AB+12) = 15AB

6AB + 72 = 15AB

15AB - 6AB = 72

9AB = 72

AB = 72/9

AB = 8

Write an equivalent expression in word form.

(1- 1/3) / 2

Answers

Answer:

21

Step-by-step explanation:

one third taken away from one, halved
or
half of one minus one third

There are 5 red and 3 black balls in a bag. Find the probability of drawing a black ball.

Answers

Answer:

5 : 3 (8 total)

3/8 or 0.375 or 37.5%

Answer:

the probability of drawing a black ball Pr( B)=3/8

Step-by-step explanation:

The total number of balls =5+3

=8

probability of drawing a Red ball=Pr(R)

=5/8

probability of drawing a Black ball=Pr(B)

=3/8

What is the volume and surface area of this

Answers

Answer:

V= 240 sq cm

A= 268 sq cm

Step-by-step explanation:

V= l * w * h

V= 10 * 8 * 3

V= 240 sq cm

A=2(wl+hl+hw)

A=2(8*10 + 3*10 + 3*8)

A= 268 sq cm

volume = l x w x h
so: 10 x 8 x 3 = 240

surface = 2(lw + lh + wh)
so: 2(10x8 + 10x3 + 8x3) = 268

not sure if the surface is correct tho

help please.


answer choices:
a)2/3
b)3/2
c)6/9
d)4/6

Answers

The answer is It’s 3/2

Which statements are true for irrational numbers written in decimal form?

A. Irrational numbers are nonterminating.

B. Irrational numbers are repeating.

C. Irrational numbers are nonrepeating.

D. Irrational numbers are terminating.

answers

C and D

A and C

B and D

A and B

Answers

Answer:

A and C

I hope this helps a little bit.

Answer:

irrational numbers are reapeating - B

irrational numbers are non terminating -A

I'm not sure about A though

this is algebra 1 please find the answer to this problem.

Answers

Answer:

3.) it is a quadratic

4.) it is an absolute function

Step-by-step explanation:

3 has an exponent

4 has absolute values in it

what is x and y? help

Answers

y is Six and x is Ten
Since B is double its size your gonna multiply by 2 so
x would equal 10
And with b your dividing by 2
So y would be 6

Help ASAP Ill mark brainliest

Answers

Answer:

35°

Step-by-step explanation:

add all =1000

then take the 350×100 =3500 then divide by 1000=35

11 is 62% of what number? Round to the nearest tenth.​

Answers

Answer:17.74

Step-by-step explanation:

(6n – 7) + (8n + 2) = 23

Answers

Answer:100

Step-by-step explanation:

2!2

Answer:

n = 2

Step-by-step explanation:

(6n - 7) + (8n + 2) = 23 (Combine like terms)

14n  - 5 = 23 (Add 5 from both sides)

14n = 28 (divided 14 from both sides)

n = 2

Is this triangle a AA SAS or SSS or Not Similar

PLS HELP PLS PLS

Answers

Answer:

AA (similar)

Step-by-step explanation:

<Q = <U

64 + 37 = 101°

180 - 101 = 79°

<S is a reflexive angle, congruent on both sides.

AA similarity

The value of t varies directly with w. When t = 32, the value of w = 56. What is the value of w when t = 92? A 116 B 126 C 161 D 182​

Answers

Answer:

(D). 182

Step-by-step explanation:

did the math

What is the equation of the line that passes through the point (1,3)(1,3) and has a slope of 66?

Answers

Answer:

The equation of the line that passes through the point (1,3) with a slope of 66

is

y=66x-63

The sum of -8 and a number is at least 9.

Answers

17

Explanation:

-8 + 17 = 9

Answer:

The number should be 17 or more

Step-by-step explanation:

-8 + x = 9

x = 9 + 8

x = 17

∴ The number should be 17 or more

can someone help me with both these questions asap?
15 points

Answers

Answer:

what am I looking at my fault og

PLS HELP ASAP! GIVING BRAINLY

Answers

B is a factor of the equation above because if you do 3a^2 + 17a + 10 you would get (3a +2) (a+5)

Answer:

Answer is

option B.

3a+2

solve the system of equations by adding. checking your answer
2x+2y=2
3x-2y=43
the solution of the system is ( , )​

Answers

Answer:

Step-by-step explanation:

This is very easy, because the coefficients of the y terms are 2 and -2. You can easily eliminate the y terms by adding the equations together:

2x + 2y = 2

3x - 2y = 43

-----------------

5x + 0y = 45,  so x = 9

Use the value of x to solve for  y:

2(9) + 2y = 2

y = -8

(x,y) = (2, -8)

What percentage of the pieces was he missing if he had 250 puzzle pieces and was missing 15 What percentage of the pieces was he missing

Answers

Answer:

Percentage of missed puzzle pieces = 6%

Step-by-step explanation:

Total number of puzzle pieces = 250

Missed puzzle pieces = 15

Percentage of the missing puzzle pieces = [tex]\frac{\text{Missed puzzle pieces}}{\text{Total number of puzzle pieces}}\times 100[/tex]

= [tex]\frac{15}{250}\times 100[/tex]

= 15 × 0.4

= 6%

Therefore, percentage of missed puzzle pieces = 6%

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Question Progress
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Homework Progress -
26 / 28 Marks
D
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Here is a list of numbers:
20 29 30 33 37 40
41
46
50
Use four of the numbers to make a sequence and describe the rule
for continuing your sequence.
I
equences - Term-to-Term Rule
Overview
0​

Answers

Answer:

20 292 02 202 202

Step-by-step explanation:

What’s the answer to this

Answers

Answer:

Step-by-step explanation:

Use angle bisector theorem

(3x-3)/5x = 24/44

Solve:

x= 6

X would be 6 I completely agree with them

Send me the answers

Answers

Answer:

sending you my book i answered it

Step-by-step explanation:

Answer:

DEEZNUTZ

Step-by-step explanation:

URMOM

Please can you help me

Answers

Answer:

0.5 (or 0.50)

Step-by-step explanation:

So we have 6, 12, and 6.

Add them all together to get 24

12 of the skittles are green, so find the percentage/decimal.

12/24 = 0.5 (or 50%)

Legends will get a heart ❤️ if they get this right​

Answers

Answer:

3a. Angles q,r, and u are 105 degrees.

 b. Angles p,s, and t are 75 degrees.

Step-by-step explanation:

Vertical angles, or angles that are across from each other, are congruent, meaning they are the same angle. When you shrink it, its angles are still the same.

Hope this helps:)

PLEASE HELP PLEASEEEEE

Answers

Answer:

pi r^2 h/3, height =6, r=10, 100*6=600pi/3=200pi

Find the value of x in 18 : 9 = 36 : x?
(a) 16
(b) 18
(c ) 27
(d) 72
with working plsss.impropriate answers will be reported

Answers

Answer is B Step-by-step explanation:

18/9/ 36

36/ 2

18

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