A large brine tank containing a solution of salt and water is being diluted with fresh water. The relationship between the elapsed time, t. in hours, after the dilution begins and the concentration of salt in the tank, S(t) in grams per liter (g / 1) , is modeled by the following function S(t) = 500e ^ (- 0.25t) What will the concentration of salt be after 10 hours? Round your answerif necessary to the nearest hundredth

Answers

Answer 1

Answer:

41.04

Step-by-step explanation:

thats the answer on khan academy :3 i hope this helps

Answer 2

the concentration of salt be after 10 hours is 14.04 grams per liter

Given :

The relationship between the elapsed time, t. in hours, after the dilution begins and the concentration of salt in the tank is given by

[tex]S(t)=500e^{^{\:}\left(-\:0.25\cdot t\right)\:}[/tex]

here 't' is the time taken . and S(t) is the concentration of salt.

We need to find the concentration of salt S(t) after 10 hours

So , we need to find S(10)

Replace 't'  with 10 in the given equation

[tex]S(t)=500e^{^{\:}\left(-\:0.25\cdot t\right)\:}\\S(10)=500e^{^{\:}\left(-\:0.25\cdot 10\right)\:}\\S(10)=41.04[/tex]

the concentration of salt be after 10 hours is 14.04 grams per liter

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Related Questions

At Subway sandwiches, how many different sandwiches can I make from 3 different types of bread, 5 different types of cheese, and 4 different types of meat?

Answers

Answer:

60 sandwiches

Step-by-step explanation:

In this case we must know that for each type of bread, it can be combined with each type of cheese and each type of meat, that is to say that the total amount of combinations would be, the amount of types of bread, for the amount of types of cheese for the amount of types of meat, that is to say:

3*5*4 = 60

That means there are a total of 60 ways to make different sandwiches

Cuáles de los siguientes experimentos son aleatorios. a) Número de personas que suben a un autobús en una parada. b) Aplicar el teorema de Pitágoras en un triángulo rectángulo. c) Conocer el ganador de la Liga de Campeones. D) Calcular la raíz cuadrada de un número.

Answers

Answer:

a) Número de personas que suben a un autobús en una parada.c) Conocer el ganador de la Liga de Campeones.

Step-by-step explanation:

This problem is about random experiments.

Random experiments are defined as experiments where the outcome can't be predicted. To ensure that result, the subjects are selected randomly. So, in this case, the right answer must be a situation where subjects are randomly present.

People taking the bus is a random experiment, because there's no the exact subjects in a bus at any time, it happens randomly.

Also, the winner of a sport league is also a random experiment, because it happens after several games which cannot be predicted.

Therefore, the right answers are a and c.

area of isosceles triangle​

Answers

Answer:

You find the base and height then divide by 2

Step-by-step explanation:

Answer:

height x 2 divided by 1/2  

Step-by-step explanation:

Story: The Escalator Ratio Task: Ty took the escalator to the second floor. The escalator is 12 meters long, and he rode the escalator for 30 seconds. (Things to consider: 60 seconds = 1 minute; 60 minutes = 1 hour; 24 hours = 1 day). Question: True or False? He traveled 2 meters ever 5 seconds. Answer T or F and tell (or show) how you know you are correct.

Answers

Answer: True

Step-by-step explanation:

YES, HE TRAVELLED 2 METRES EVERY 5 SECONDS

PROOF:

TOTAL RIDE TIME = 30 SECONDS

Length of elevator = 12 METRES

Distance moved per second can be calculated by = (length of elevator / total ride time)

( 12 METRES / 30 seconds) = 0.4 metres per second

Therefore, distance covered in 5 seconds :

0.4 × 5 = 2 metres.

Hence, the proof

He traveled 2 meters ever 5 seconds

Solve. 2(n - 1) + 4n = 2 ( 3n - 1 ) please help ASAP

Answers

Answer:

0

Step-by-step explanation:

2(n - 1) + 4n = 2 ( 3n - 1 )

2n - 2 + 4n = 6n - 2

6n - 2 = 6n - 2

6n - 6n = -2 + 2

0 = 0

i think of a number multiply it by 3 and subract 2 . The result is 14​

Answers

Answer:

5.3

Step-by-step explanation:

Answer:

The answer is 5.3

Step-by-step explanation:

5.3x3-2= 13.9 but when you round its 14

A six-sided die with sides labeled 1 through 6 will be rolled once. Each number is equally likely to be rolled.
What is the probability of rolling a number less than 5?
Write your answer as a fraction in simplest form.

Answers

Answer & Step-by-step explanation:

On a six-sided die, there are 4 numbers less than 5. So, we can write this as a fraction.

[tex]\frac{4}{6}[/tex] or we can write this fraction as [tex]\frac{2}{3}[/tex]

So, the probability of rolling a number less than 5 is [tex]\frac{2}{3}[/tex]

6th question of the day

WHat is the equation for standard equation of circle?

Answers

Answer:

Where (h,k) is the center and r is the radius

Step-by-step explanation:

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

A bag of marbles contains 6 blue marbles, 2 yellow marbles, 4 red marbles, and 1 green marble. What is the probability of
reaching into the bag and selecting a yellow marble?
1/13
2/13
1/6
2/6

Answers

The answer would be 2/13

Answer:

It would be B.

Step-by-step explanation:

Hope it helpssss

i dont know how to do this if someone could show me how and what the answer is

Answers

Answer:

It is A because due to the slope it is a parallelogram.

Step-by-step explanation:

Answer:

its a

Step-by-step explanation:

Find the area of the triangle below.
Be sure to include the correct unit in your answer.

Answers

Answer:

66 ft^2

Step-by-step explanation:

the formula for the area of a triangle is b x h over 2. the base is 22 and the height is 6. 22 x 6=132. 132/2=66

Tan θ =
[tex] \sqrt{13} \div \sqrt{2} [/tex]

Answers

Answer:

Step-by-step explanation:

Tan θ = [tex]\sqrt{13} \div \sqrt{2}[/tex] = 2.5495

Therefore θ = [tex]Tan^{-1}[/tex] (2.5495) =68.5832°

Answer:

Tan θ =  2.5495097...

PLZZ ANSWER CORRECTLYTHIS IS GOING TO BE GRADED!!!!


PLZ WHEN U R DOING THE PROBLEMS,PICK FROM THE CHOICES IT GIVES U!!!!!!

Answers

Answer:

That's my best answer.

Step-by-step explanation:

So for number 1 it says the total amount of wrapping paper. You should just find the surface area. I'll send a screenshot.

Complete the point-slope equation of the line through (-1,6) and (1,5)

Answers

Answer:

y − y1 = m(x − x1)

m  = (y2-y1) / (x2-x1) = (5 - 6) / (1 - (-1)) = -1 /2

y - 6 = -1/2 (x - (-1))

y - 6 = -1/2 (x + 1)

y - 6 = -1/2x - 1/2

Step-by-step explanation:


Which shape is not necessarily a parallelogram?
A) quadrilateral
B) rectangle
C) rhombus
D) square

Answers

Answer:

A) Quadrilaterals

Step-by-step explanation:

All squares, rectangles, and rhombuses are parallelograms because their sides are parallel. However, quadrilaterals have four sides, but not all will be parallel.

Calcula la altura de Juan sabiendo que proyecta una sombra de 2 metros en el momento en que Pedro que mide 1,80 metros proyecta una sombra de 2,25 metros.

Answers

Answer:

La altura de Juan por lo tanto es de 1.6 metros de altura

Step-by-step explanation:

Segun los datos que se encuentran en el ejercicio, tenemos lo siguiente:

Juan proyecta una sombra de 2 metros en el momento en que Pedro que mide 1,80.

Supongamos que x es la altura de juan que tenemos que calcular.

La altura de Juan por lo tanto la podemos calcular de la siguiente manera con la siguiente formula:

x= (1.8 metros/2.25 metros)*2

x=1.6 metros

La altura de Juan por lo tanto es de 1.6 metros de altura

Polygon LMNO is similar to polygon QRST and LM and QR are corresponding sides. You know the perimeter of each polygon, and you know the measure of MN. What can you find

Answers

Answer:

I can find that the measure of RS

Step-by-step explanation:

The measure of RS can be discovered as both have corresponding sides. Therefore, both are the same

Mona likes to ski. One lap includes a 4 minute ride up the ski lift and 5 minutes to ski down the hill. How long will it take her to do 5 laps?

Answers

Answer:

pretty sure it is 45mins

Step-by-step explanation:

U add 4+5=9 so that is one lap

then take 9*5=45 and that would be 5 laps

Answer:

45

Step-by-step explanation: first we want to find out the time it takes to do one full lap of skiing. in order to do this you have to add 4 to 5. we do this because if we start at the bottom of the hill we have to ride 4 min up to the top then 5 min to get back to the bottom. so in all it will 9 min to do one full lap. because we want to find out how long it will take to do 5 laps we do 9x5=45

Solve the long division

Answers

Answer:

1. 158

2. 120.125

3. 148.6

4. 158.6

Step-by-step explanation:

You divide the number inside by the number outside

PLEASE HELP ME... ANYONE.... i am begging you. i will mark brainiest, whatever you want. please help...
Rachel works at a bookstore. On Tuesday, she sold twice as many books as she did on Monday. On Wednesday, she sold 6 fewer books than she did on Tuesday. During the three days Rachel sold 19 books. Create an equation that can be used to find m, the number of books Rachel sold on Monday.
Equation:
plz make the answer in this format: x - y = z ( a number minus a number equals a number) thank you so much guys!!

Answers

Answer:

5m - 6 = 19

Step-by-step explanation:

We are given:

Monday x 2 = Tuesday

Tuesday - 6 = Wednesday

Lets say

Monday = m

Tuesday = t

Wednesday = w

m = m

2m = t

2m - 6 = w

Combine like terms: 5m - 6 = 19

Add 6 to both sides

5m = 25

Divide both sides by 5

m = 5

Plug it in the equations.

Monday = 5

Tuesday =  10

Wednesday = 4

Answer:

5x - 6 = 19

Step-by-step explanation:

What is the y- intercept of the graph shown that is below

Answers

Answer:

B

Step-by-step explanation:

The y- intercept is the point on the y- axis where the line crosses it

This point is y = 2

with coordinates (0, 2 ) → B

The line is  crossing the y axis at (0,2)

What is intercept ?

The x - intercept is where a line crosses the axis and the y intercept is the point where  the line crosses the y - axis .

observing the graph it can be concluded that ,

The line is  crossing the y axis where x = 0 and y = 2 , so the point is (0,2)

correct answer is c) (0,2)

Learn more about intercept

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i need help understanding this

Answers

Answer:

x = 6±sqrt( 31)

Step-by-step explanation:

x^2 -12x +5 =0

Subtract 5 from each side

x^2 -12x +5-5=0-5

x^2 -12x = -5

Take the coefficient of x

-12

Divide by 2

-12/2 =-6

Square it

(-6 )^2 = 36

Add this to each side

x^2 -12x +36= -5+36

(x-6)^2 = 31

Take the square root of each side

sqrt((x-6)^2) =±sqrt( 31)

x-6 =±sqrt( 31)

Add 6 to each side

x-6+6 =6±sqrt( 31)

x = 6±sqrt( 31)

What dose rotations mean in math

Answers

Answer:

A rotation is a transformation that turns a figure about a fixed point called the center of rotation. • An object and its rotation are the same shape and size, but the figures may be turned in different directions. • Rotations may be clockwise or counterclockwise.

Step-by-step explanation:

Answer:it means the movitem of a figure to somewhere else

Step-by-step explanation:

Solve the equation in the image

Answers

Answer:

x = 70

Step-by-step explanation:

[tex] \sqrt{x - 6} = 8 \\ squaring \: both \: sides \\ {( \sqrt{x - 6)} }^{2} = {8}^{2} \\ x - 6 = 64 \\ x = 64 + 6 \\ \huge \red{ \boxed{ x = 70 }}\\ [/tex]

Answer:

Step-by-step explanation:

[tex]\sqrt{x-6}=8[/tex]

Take square,

[tex](\sqrt{x-6})^{2}=8^{2}\\\\x-6=64\\\\[/tex]

Add 6 to both sides,

x - 6 + 6 = 64+6

x = 70

Is there a correlation between the hours spent on homework and the test score? If there is, explain.

Answers

Answer:

No there is no correlation between the hours spent on homework and the test scores.

Hope this helps!!!

A rectangular aquarium that is 3 inches wide, 9 inches long and 12 inches tall. If water is filled up to 9 inches, how much more water can be put in the aquarium to make it full

Answers

Answer:

81 inches^3

Step-by-step explanation:

The empty space at the top is

3 inches wide by 9 inches long by (12-9) inches tall

3*9*3 = 81 inches^3

A ski run is 1000 yards long with a vertical drop of 208 yards. Find the angle of depression from the top of the ski run to the bottom.

Answers

Answer:

angle of depression = -12 degrees

Step-by-step explanation:

Sin = opposite/hypotenuse

sin = -208/1000

inv sin 0.208 = -12

To solve this problem, we just need to use trigonometric ratio and use the ratio that best fits this problem. The angle of depression is equal to 76.23 degrees.

Trigonometric Ratio

Using SOHCAHTOA, we can easily solve this problem, but we need to first know which ratio to use

Data;

opposite (ski run) = 1000 yardsadjacent (vertical drop) = 208 yards

since we have the value of opposite and adjacent, we can solve this using the tangent of the angle

[tex]tan\theta = \frac{opposite}{adjacent} \\tan \theta = \frac{1000}{208} \\tan\theta = 4.807\\\theta = sin^-^1 (4.0807)\\\theta = 76.23^0[/tex]

From the calculation above, the angle of depression is equal to 76.23 degrees.

Learn more on angle of depression here;

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Question 2 (1 point)
Find the midpoint of the line segment with the given endpoints.
(-9, 8), (2, -1)


(-5.5, 4.5)
(-0.5, 0.5)
(13,-10)
(-3.5, 3.5)

Answers

Answer:

Step-by-step explanation:

(-9+2)/2= -7/2= -3.5

(8 + (-1))/2 = 7/2= 3.5

(-3.5, 3.5) is the solution

Robert works at a car dealership. Each month, he receives a base salary of $1,854.00, plus a commission of $478.00 for each vehicle he sells. Which of the following equations could be used to determine Robert's total income each month? (Let x represent the number of cars sold by Robert and y represent his total monthly income.)

Answers

Answer:

y = 478x + 1,854

Step-by-step explanation:

Find the Area of the Triangle. A = 1/2 (b x h)

Answers

Answer:

A=1/2(b×h)

divide a half by 12=6

6×4,since 4 is the height=24

Answer:

30 um²

Step-by-step explanation:

BC = √5² - 4²

= √25 - 16

= √9

= 3 um

AC = 12 + 3 = 15 um

A = AC×BD/2

= 15×4/2

= 15×2

= 30 um²

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