5 = 500e^-0.00043(t)

Answers

Answer 1

t=10709.69810694

Hope this helps! :)

Answer 2
t = (e^0.00043)/100) in its exact form
or
t = 0.0100043 in decimal form.

Some simple math.
First, let’s get rid of easily divisible numbers.

5 = 500 * e^(-0.00043) * t

Let’s divide both sides by 5 so we can have one on the left side of the equation, where anything multiplied would stay the same value.

5/5 = 500/5 * e^(-0.00043) * t
1 = 100 * e^(-0.00043) * t

As for Euler's number, the exponent is negative, and numbers to a negative power over one is the same as one over the absolute value of the exponent.

1 = 100 * e^(-0.00043) * t
1 = 100 * 1/e^(0.00043) * t

We can multiply 100/1 with 1/e^(0.00043) to simplify.

1 = 100 * 1/e^(0.00043) * t
1 = 100/e^(0.00043) * t

Divide t on both sides.

1 = 100/e^(0.00043) * t
1/t = 100/e^(0.00043) * t/t
1/t = 100/e^(0.00043)

With any fractions the equal the same, flipping one means you just have to flip the other. If the ratios are equal, nothing will happen to the validity of their equivalence.

1/t = 100/e^(0.00043)
t/1 = (e^0.00043)/100
t = (e^0.00043)/100)

So, you have your answer in the simplest form. If you want to go the step further, you can get decimal form too. Just multiply the exponent and divide to get

t = 0.0100043

Related Questions

Solve for 2. Round to the nearest tenth, if necessary,
С
2.5
41

Answers

Answer:

3.8

Step-by-step explanation:

We can use sohcahtoa to solve this. First, we know that this triangle is a right triangle, as well as one angle and the opposite side to that angle. We are trying to find the hypotenuse.

Therefore, as sin takes opposite and hypotenuse into account, we can use that to get that sin(41°) = 2.5/x . Multiply both sides by x and divide both sides by sin(41°) to get x = 2.5/sin(41°) =3.8

Question 8 (1 point) A man launches a toy rocket from the roof of a building 72 feet off the ground. The rocket has an initial velocity of 88 feet per second. The height of the ball t seconds after it was thrown into the air can be modeled by the function. h(t) = -16ť +88t + 72 Find the maximum height that the ball reaches during its flight. ​

Answers

Answer:

thanks for the points and sorry i dont under stand

Step-by-step explanation:

find the value of x: then find the measure of each angle

Answers

Answer:

Step-by-step explanation:

In a parallelogram, opposite angles are equal.

∠G = ∠E

5x - 9 = 3x + 11

Add 9 to both sides

5x = 3x + 11 + 9

5x = 3x + 20

Subtract 3x from both sides

5x-  3x = 20

2x = 20

Divide both sides by 2

x = 10

∠G = 5x - 9

     = 5*10 - 9

     = 50 - 9

∠G = 41°

∠G = ∠E = 41°

In parallelogram, adjacent angles are supplementary.

∠G + ∠D = 180

41 + ∠D = 180

     ∠D = 180 - 41

   ∠D = 139

∠D = ∠F = 139°

k+1/2 =4 solve for the variable​

Answers

Answer:

k+1/2 =4

subtract 1/2 from both sides

= k = 3.5 or 3 1/2

Answer:3.5

Step-by-step explanation:

Which is the graph of the function: f(x) = x2 - 4x + 3​

Answers

Answer:

Option 1

Step-by-step explanation:

To find the graph of the quadratic function, we find it's zeros.

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

[tex]ax^{2} + bx + c, a\neq0[/tex].

This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], given by the following formulas:

[tex]x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}[/tex]

[tex]x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}[/tex]

[tex]\Delta = b^{2} - 4ac[/tex]

f(x) = x² - 4x + 3​

This means that [tex]a = 1, b = -4, c = 3[/tex]

So

[tex]\Delta = b^{2} - 4ac = (-4)^2 - 4(1)(3) = 16 - 12 = 4[/tex]

[tex]x_{1} = \frac{-(-4) + \sqrt{4}}{2} = 3[/tex]

[tex]x_{2} = \frac{-(-4) - \sqrt{4}}{2} = 1[/tex]

Zeros at x = 1 and x = 3, that is, it crosses the x-axis at this values, so the graph is given by option 1.

Gary went to dinner with his friends. The total bill comes to $135.00 before tax. He wants to leave a 15% tip before tax. He also must pay an 8% tax on the bill. How much does Gary spend in total?
No links or I will report!

Answers

Answer:

Gary spends a total of $166.05

Step-by-step explanation:

15% tip: would be 15% of 135, so 0.15 times 135, which would be $20.25 for the tip before tax

8% tax: would be 8% of 135, so 0.08 times 135, which would be $10.8

Then we add $20.25+$10.8+$135= $166.05

Hope I helped, please correct me anywhere you think I may have messed up if I did make mistakes.

Find the value of x. Round to the nearest. ​

Answers

Answer:

Solution given:

perpendicular [P]=x

base[B]=9

hypotenuse [H]=41

Now.

By using Pythagoras law

H²=P²+B²

41²=x²+9²

x²=41²-9²

x=[tex]\sqrt{1600}=40[/tex]

x=40 is a required answer.

A certain type of flashlight requires two type-D batteries, and the flashlight will work only if both its batteries have acceptable voltages. Suppose that 90% of all batteries from a certain supplier have acceptable voltages. Among twenty randomly selected flashlights, what is the probability that at least nineteen will work? What assumptions did you make in the course of answering the question posed? a. we have assumed here that the batteries' voltage levels are independent. b. we have assumed here that the batteries' voltage levels are dependent.

Answers

Answer:

a) 0.064

b) 0.002

Step-by-step explanation:

a) Assuming that  the batteries' voltage levels are independent

Probability = 0.8 * 0.8 = 0.64

b) batteries' voltage levels are dependent

20/19 (0.064)^19 *0.036  + 20/20 (0.064)^20 *0.036^0

= 0.002

If x2 =
20, what is the value of x?

Answers

Answer:

the square root of 20 is 4.472135955

Step-by-step explanation:

Need these written in standard form!

Answers

The expressions themselves are in standard form but I’m gonna assume you meant in regular notation .

A) 4001
B) 0.0000006591
C) 380
D) 0.0079901

Find the equation for the circle with center (-1, - 4) and passing through (-5,5).

Answers

Answer:

[tex](x+1)^2+(y+4)^2=97[/tex]

Step-by-step explanation:

Hi there!

Equation of a circle centered at (h,k):

[tex](x-h)^2+(y-k)^2=r^2[/tex] where r is the radius

1) Plug in the center

[tex](x-(-1))^2+(y-(-4))^2=r^2\\(x+1)^2+(y+4)^2=r^2[/tex]

2) Plug in the given point and solve for r²

[tex](x+1)^2+(y+4)^2=r^2[/tex]

Plug in (-5,5)

[tex](-5+1)^2+(5+4)^2=r^2\\(-4)^2+(9)^2=r^2\\16+81=r^2\\r^2=97[/tex]

3) Plug r² back into the equation

[tex](x+1)^2+(y+4)^2=r^2\\(x+1)^2+(y+4)^2=97[/tex]

I hope this helps!

Gopal gave away 25% of his stamps and had 450 stamps left. How
many stamps did he give away?

Answers

Answer:

150 stamps

Step-by-step explanation:

100% - 25% = 75%

[tex]\frac{y}{450} :\frac{25}{75}[/tex]

y × 75 = 25 × 450

75y = 11250

75y ÷ 75 = 11250 ÷ 75

y = 150

The table shows the monthly rainfall amount in Honolulu, Hawaii during one year.
Month
Jan Feb Mar Apr May Jun Jul Aug Sept Oct Nov Dec
Rainfall
Amount 2.73 2.35 1.89 1.11 0.78 0.43 0.50 0.46 0.74 2.18 2.27 2.85
(In Inches)
What is the median monthly rainfall amount?
O A. 0.43
OB. 0.47
O c. 1.11
D. 1.50
E. 1.52

Answers

Answer:

Option D: 1.50

Step-by-step explanation:

5. Sara thinks the following expressions are equivalent:
2x + 3 = x/2 + 3/4
Is she right? If so, prove that these two expressions are equivalent. If not, what error(s) did she make?​

Answers

[tex]\sf\purple{No, \:Sara\: is \:wrong.}[/tex]

[tex]2x + 3≠ \frac{x}{2} + \frac{3}{4} [/tex]

[tex]\sf\red{Here's\:why:}[/tex]

[tex]L. H. S. = 2x + 3[/tex]

[tex]R. H. S = \frac{x}{2} + \frac{3}{4} \\ = \frac{x \times 2}{2 \times 2} + \frac{ 3}{4} \\ = \frac{2x + 3}{4} [/tex]

Clearly,

[tex]2x + 3≠ \frac{2x + 3}{4} \\✒ \: L.H.S.\:≠\:R. H. S. [/tex]

[tex]\boxed{Therefore,\:the\:two\:expressions \:are\:not\:equivalent.}[/tex]

To make them equivalent, Sara can simply divide L. H. S. by 4.

By doing so, she'll have

[tex] \frac{2x + 3}{4} = \frac{2x + 3}{4} \\ ๛L.H.S.=R. H. S[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]

The volume of a sphere is 2400 cm³, What is the approximate diameter of the sphere?

A) 16.6 cm
B) 10.1 cm
C) 8.3 cm
D) 4.2 cm

Answers

Answer:

Option A is the correct answer, since it is the closest answer.

Step-by-step explanation:

volume: V = 4/3 πr³

Try replacing r with half number of the options

A) 4/3 x π x 8.3 ^3 = 2395.09

B) 4/3 x π x 5.05 ^3 = 539.46

C) 4/3 x π x 4.15 ^3 = 299.38

D) 4/3 x π x 2.1 ^3 = 38.79

PERR AMD A PEERN2 SJE

Answers

Answer:

3 peers

Step-by-step explanation:

Answer:

Three? Is it three?

Step-by-step explanation:

Please help is for now :(

Answers

Hour 0 to hour 1 have a difference of 2

The mean daily production of a herd of cows is assumed to be normally distributed with a mean of 36 liters, and standard deviation of 7 liters.

A) What is the probability that daily production is less than 23.4 liters? Use technology (not tables) to get your probability.

Answer=
(Round your answer to 4 decimal places.)

B) What is the probability that daily production is more than 45.7 liters? Use technology (not tables) to get your probability.

Answer=
(Round your answer to 4 decimal places.)

Answers

Answer:

A) 0.0359

B) 0.0829

Step-by-step explanation:

A) Using normalcdf on your calculator, or using something online, you can plug (-1000, 23.4, 36, 7) to represent the lower bound, upper bound, mean, and standard deviation respectively. The probability that daily production is less than 23.4 liters is 0.0359

B) Similarly, we can plug (45.7, 1000, 36, 7) in as the upper bound is infinity, and the lower bound if 45.7. Our answer is then 0.0829

A Fulcrum of a Pyramid is 6cm Square at the
top and 12cm square at the bottom and is loem highe
Calculate the volume of the fulcrum.​

Answers

Answer:

288 cubic cm

Step-by-step explanation:

Volume of the pyramid = 1/3 * base area * height

Base area = 12 * 12

Base area - 144 sq. cm

Height = 6cm

Volume of the pyramid = 144 * 6/3

Volume of the pyramid = 144 * 2

Volume of the pyramid  = 288 cubic cm

If Ryan walks 5 miles in 100 minutes then how far away walk in 113 minutes

Answers

5/100=x/113

Then cross multiply
And you would get

X=5x113/100

X=5.65miles

I hope you understand everything and if you can give me a brainliest I would really appreciate it!!

I Need Help With This Don’t Seem To Understand 8
IT

Answers

Answer:

44.402

Step-by-step explanation:

Equation

SA = 2L*W + 2L*H + 2*WH

Givens

L = 2.7

W=1.13

H = 5

Solution

LW = 2.7 * 1.13  = 3.051

LH = 2.7 * 5  =    13.5

WH = 1.13 * 5  =  5.65

SA = 2*3.051 + 2*13.5 + 2*5.65

SA = 6.102 + 27 + 11.3

SA = 44.402

404.02 is the answer

are 5x and x+5 equivalent expressions?

Answers

No,

5x means 5 is being multiplied by a number (x)

x+5 means that’s a number (x) is being added to 5

Hope this helps ;)

Answer:

No.

Step-by-step explanation:

5x represents the product of 5 and an unknown number (x).

5x can also be written as 5 * x.

x + 5 represents the sum of 5 and an unknown number (x).

Hope this helps.

he Thomas Supply Company Inc. is a distributor of gas-powered generators. As with any business, the length of time customers take to pay their invoices is important. Listed below, arranged from smallest to largest, is the time, in days, for a sample of the Thomas Supply Company Inc. invoices. 13 13 13 20 26 27 29 32 34 34 35 35 36 37 38 41 41 41 42 44 46 47 48 50 53 55 56 62 67 82 Click here for the Excel Data File (Round your answers to 2 decimal places.) Determine the first and third quartiles. Determine the second decile and the eighth decile. Determine the 67th percentile

Answers

Answer:

30.5 ; 49 ; 27 ; 50 ; 45

Step-by-step explanation:

Determine the first and third quartiles. Determine the second decile and the eighth decile. Determine the 67th percentile

Given the ordered data :

13 13 13 20 26 27 29 32 34 34 35 35 36 37 38 41 41 41 42 44 46 47 48 50 53 55 56 62 67 82

Sample size, n = 30

The first quartile ;Q1

Q1 = 1/4(n+1)th term

Q1 = 31/4 = 7.75th term

Q1 = (29+32)/2

Q1 = 30.5

Q3 ;

Q3 = 3/4(n+1)th term

Q3 = 3(31)/4 = 23.25 th term

Q3 = (48 + 50) /2 = 49

2nd decile :

0.2 * (nth term

0.2 * 30 = 6th term = 27

8th decile :

0.8 * 30 = 24 th term

= 50

67th percentile :

0.67 * (n+1)th term

0.67 * 31 = 20.77

= (44 + 46) / 2

= 45

i need help asap i don’t get it

Answers

The answers is it’s shows a good example D

-55x / 2 - 10 > -185 / 2​

Answers

Answer:

Step-by-step explanation: Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form:

x < 3

Interval Notation: ( −∞, 3)

Do the ratios 7/ 28 and 2/ 8 form a proportion?

Answers

Answer:

Step-by-step explanation:

the ht eteht ehtwlqhadhd nnnnnnn

My answer is 28 = 2: 8. That means that the ratio 7 / 28 is equal to the ratio 2 : 8. You can verify the equality by simplifying to the simplest form:     7 : 28 = 1 / 4 simplest form     2 : 8 = 1 / 4 simplest form, then the proportion is right.In words that is 7 is to 28 as 1 is to 4 ← answer

It takes Max 9 minutes to read 10 pages of his book. Which equation represents the
relationship between the number of pages, p, that Max can read and the number of
minutes, m?

Answers

Answer:

y represents the pages, while x represents the minutes. for every y, there is 9/10 x, therefore the equation is y=9/10x

(C+8)^2=16
(12,4)
(-4,-12)
(24,-8)
(8,-24)

Answers

How should I answer?

Evaluate Using the Given Value

Simplify the Matrix

Solve the Function Operation

Evaluate the Function

Graph

Find the Derivative - d/dc

Solve Using the Square Root Property

Find the Equation Using Point-Slope Formula

More...

will edit and give answer just don't know what you are asking  comment down  below what you need help on. Happy to help :)

Answer:

The possible solutions are -4 and -12

Step-by-step explanation:

(C+8)^2=16

Take the square root of each side

sqrt((C+8)^2)=sqrt(16)

C+8 = ±4

C+8 = 4     C+8 = -4

Subtract 8 from each side

C+8-8 = 4-8   C+8-8 = -4-8

C = -4               C = -12

The possible solutions are -4 and -12

help may oplpkpk.........

Answers

A the answer is A ucjgg uh do I F

Mrs Lia has 14 pounds of modeling clay

Answers

Answer:

20

Step-by-step explanation:

Answer:

20 is the answer

Step-by-step explanation:

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