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

A cylinder with radius of 8 yd and a height of 12 yd

Answers

Answer:

A=1005.31 yd2

V=2412.74 yd3

Step-by-step explanation:

V=πr2h

A=2πrh+2πr2

Which rule best describes the following pattern?
8, 4, 10, 6, 12, 8, 14, ...​

Answers

Answer: It decreases by four then go up by six or increase by 6.

Step-by-step explanation:

It shows the alternating increased by 2

It decreases by four then go up by six or increases by 6.

We have given the pattern is

8, 4, 10, 6, 12, 8, 14, ....

We can see that

the first number is 8 and the second is 4

8>4

from 8 to 4 it is decreasing and the 4 to 10 it is increasing and again after 10 it is decreasing a.

What is the meaning of increasing?

Increasing means there is a second number is greater than the first number third number is greater than the second number and so on.

There is two pattern

8,10,12,14....

Increasing by 2

4,6,8.....

Increasing by 2

Therefore it shows the alternating increased by 2.

To learn more about the series visit:

https://brainly.com/question/14883923

#SPJ2

Mindy and Troy combined ate 9 pieces of the wedding cake. Mindy ate 3 pieces of cake and Troy had \dfrac14
4
1

start fraction, 1, divided by, 4, end fraction of the total cake.

Answers

it’s 28 bc the 4 divided by 1 is =7

Answer:

Equation: 3 + 1/4c = 9

24 pieces of cake

Step-by-step explanation:

from khan :))

Find the area of a circle with a radius of 5 feet. Please help

Answers

Answer:

see below

Step-by-step explanation:

The area of a circle is given by

A = pi r^2

A = pi (5)^2

A = 25 pi

Using 3.14 for pi

A = 78.5 ft^2

Using the pi button

A =78.53981634 ft^2

How many total atoms are in 3 molecules of CO2 (carbon dioxide)?

Answers

Answer:

9

Step-by-step explanation:

there are 3 atoms in one co2 molecule. 3 x 3=9

Answer:

in three molecules of CO2 there are:

3 Carbon Atoms and 6 Oxygen Atoms

If your looking for the atoms in ONE molecule then there is:

One Carbon Atom and Two Oxygen Atoms

Bruno is sewing a large rectangular tablecloth for a restaurant. He has 30 square feet of fabric and the length of the table cloth needs to be 7.5 feet. What is the width of the tablecloth if he uses all of the fabric?

Answers

Answer:

Step-by-step explanation:

4 ft

Answer:

Step-by-step explanation:

4 ft

brainliest pls i need it :,)

FITNESS Alejandro is a personal trainer. For his clients to gain the maximum benefit from their exercise, Alejandro calculates their maximum target heart rate using the function f(x) = 0.85(220 – x), where x represents the age of the client. Find the inverse of this function and interpret its meaning in the context of the situation.

Answers

Answer:

1). [tex]f^{-1}(x)[/tex] = (200 - [tex]\frac{x}{0.85}[/tex])

2). Inverse function represents the age of the client and 'x' represents the maximum heart rate of the client.

Step-by-step explanation:

Function representing the maximum heart rate is,

f(x) = 0.85(220 - x)

Here x = age of the client

Equation form of the function will be,

y = 0.85(220 - x)

To get the inverse of the given function, replace 'x' by 'y' and 'y' by 'x' and solve for y.

x = 0.85(220 - y)

220 - y = [tex]\frac{x}{0.85}[/tex]

y = 220 - [tex]\frac{x}{0.85}[/tex]

Now convert this equation into a function.

[tex]f^{-1}(x)[/tex] = (200 - [tex]\frac{x}{0.85}[/tex])

Here inverse function represents the age of the client and 'x' represents the maximum heart rate of the client.

Bryant collects a set of 20 values that represent the lengths of worms he found in the garden. The variance of the set of values is 36.

What is the standard deviation from the mean? Round the answer to the nearest tenth if necessary.

4.5
6
14
15.5

Answers

Answer:

The standard deviation from the mean is the square root of the variance.

Therefore, SD = sqrt(VAR) = sqrt(36) = 6

Hope this helps!

:)

:PROBLEM Bryant collects a set of 20 values that represent the lengths of worms he found in the garden. The variance of the set of values  is 36.

QUESTION. What is the standard deviation from the mean? Round the answer to the nearest tenth if necessary.

RESULUTIONS

4.5

6

14

15.5

ANSWER.=6

HELP U GUYS. For a fundraiser, Alex sold large boxes of oranges for $9 each and small boxes of oranges for $5 each. if he sold 17 boxes in all total for 105, how many more small boxes than large boxes did he sell?

A.5
B.7
C.9
D.11

Answers

Answer:

He sold 7 more small boxes than large boxes

Step-by-step explanation:

Let x be the no of small boxes sold .

Cost of 1 small boxes of oranges = $5

Cost of x small boxes of oranges = 5x

Let y be the no. of large boxes sold

Cost of 1 large boxes of oranges = $9

Cost of y large boxes of oranges = 9y

He sold 17 boxes in all total for 105

So,x+y=17 ---1

So,5x+9y=105 ---2

Substitute the value of x from 1 in 2

5x+9(17-x)=105

5x+153-9x=105

153-105=4x

[tex]\frac{153-105}{4}=x[/tex]

12=x

Substitute value of x in 1

12+y=17

y=17-12

y=5

Difference in no. of boxes = 12-5 = 7

So, He sold 7 more small boxes than large boxes

Sarah has $20 saved. She gets $10 per week for her allowance, and she saves her allowance for the next 3 weeks. At the end of the week, she gets $150 in birthday money. How much money will she have after the 3 weeks?

Answers

Answer:

Sarah will have $200 after 3 weeks

Step-by-step explanation:

amount saved at the start = $20

amount saved per week = $10

number of weeks = 3

∴ Total savings from allowance  after 3 weeks = 10 × 3 = $30

Amount received in birthday money = $150

∴ Total amount saved after 3 weeks = amount saved at the start + Total savings from allowance  after 3 weeks + Amount received in birthday money

Total amount saved after 3 weeks = 20 + 30 + 150 = $200

Therefore Sarah will have $200 after 3 weeks

Joanie uses 6.4 pints of blue paint and white paint to paint her bedroom walls. 3 4 of this amount is blue paint, and the rest is white paint. How many pints of white paint did she use to paint her bedroom walls?

Answers

Correct question:

Joanie uses 6.4 pints of blue paint and white paint to paint her bedroom walls. ³/₄ of this amount is blue paint, and the rest is white paint. How many pints of white paint did she use to paint her bedroom walls?

Answer:

The quantity of white paint she used to paint her bedroom walls is 1.6 pints

Step-by-step explanation:

Given;

total quantity of  blue paint and white paint used by Joanie = 6.4 pints

she uses ³/₄ of the total quantity of the paints as blue

the remaining fraction as white paint = 1 -  ³/₄ = ¹/₄

The fraction of the total quantity of paints that is white paint = ¹/₄

And,

The quantity of white paint she used to paint her bedroom walls = ¹/₄  x 6.4 pints = 1.6 pints

Then, quantity of blue paint she used = ³/₄ x 6.4 = 4.8 pints

Check:

blue paint + white pain = total

4.8 + 1.6 = 6.4 pints

Therefore, the quantity of white paint she used to paint her bedroom walls is 1.6 pints

What is the velocity vector for a moving particle with a position vector [tex]r(t)=(t,e^t)[/tex]?

[tex](1,e^t)[/tex]

(t, ln(t))

(t^2)/2, e^t

(2, e^t)

Thanks!!

Answers

Answer:

(1, eᵗ)

Step-by-step explanation:

r(t) = (t, eᵗ)

v(t) = dr/dt

v(t) = (1, eᵗ)

does someone know the answer ​

Answers

Answer:

even. all circles are in paris

Step-by-step explanation:

all circles are in pairs which means its even. also you can memorize 8 as a even number

Five men and eight women work in a firm’s PR office. Their employer must choose two of them to attend a conference in Chicago. What is the probability of choosing one woman and one man to attend the conference?

Answers

Answer:

P(W∩M)= 20/39= 0.51

Step-by-step explanation:

Hello!

You have a total of 13 employees in the office, 5 are men and 8 are women.

Be the events:

M: The employee is a male

W: the employee is female

If you were to choose only one employee, the probability of the employee being a man will be P(M)= 5/13 and the probability of the employee being a woman will be P(W)= 8/13.

Now you are in a situation where you have to choose two employees at random, without replacement, and need to calculate the probability of choosing one woman and one man. There is no order specified in the question so when choosing the two employees there are two possible scenarios:

"The first employee is a woman and the second employee is a man"

or

"A first employee is a man and the second employee is a woman"

Symbolically:

P(W∩M)= P((W₁∩M₂)∪(M₁∩W₂))= (P(W₁∩M₂))+P(P(M₁∩W₂))

The subindex marks the order the events appeared.

Remember "and" in the sentence marks the intersection between two events "∩" and "or" mark the union between two events "∪"

First I'll solve both intersections:

P(W₁∩M₂)= P(W₁) * P(M₂)= (8/13) * (5/12)= 10/39

As I said before, this exercise is without replacement, so the first person chosen will be out of the 13 employees of the office, but when choosing the second one the total number of employees will be reduced by one (you count out the already chosen employee)

P(M₁∩W₂)= P(M₁) * P(W₂)= (5/13)*(8/12)= 10/39

In this item is the same, for the second draft, the total of employees is reduced by one since one male has already been chosen.

⇒ Mathematically both intersections are the same so you can express their union as:

(P(W₁∩M₂))+P(P(M₁∩W₂))= 2* (P(W₁∩M₂))= 2*10/39= 20/39= 0.51

I hope you have a SUPER day!

Eric created a rectangular patio 1 ft.² paving stones which are sold in batches by a dozen the patio measures 7‘ x 8‘ how many batches of Pavingstone did Eric need

Answers

Answer:

The number of batches of paving stones Eric needs is 5 batches

Step-by-step explanation:

Here we have the size of of one paving stone = 1 ft²

The dimensions, size, of one patio = 7 ft × 8 ft = 56 ft²

Therefore, the number of paving stones Eric needs per patio is given by the relation;

[tex]Number\, of\ paving\ stones \ required =\frac{size\, of \, one\, patio}{size \, of \, one\, paving\, stone} = \frac{56 \, ft^2}{1 ft^2/(paving \, stone)} = 56 \, paving \, stones[/tex]

Since the paving stones are sold in batches of one dozen, we have ;

4 batches = 48 paving stones and 5 batches = 60 paving stones

Therefore, the number of batches of paving stones Eric needs = 5 batches.

Please hurry!

Which of the following is true of the values of x and y in the diagram below?

A. y < x
B. y > x
C. y + x = 1
D. y/x = 1

Answers

Answer:

y/x = 1

Step-by-step explanation:

sin 45 = cos 45 = y /1 = x/1

so y = x

or y/x =1

Find parametric equations for the line through point P(-4,5,2) in the direction of the vector (-6,6,-5)

Answers

The vector v (-6, 6, -5) points in the direction of itself, so we start there.

We can capture all points on the line through the origin and the point (-6, 6, -5) by scaling v by an arbitrary real number t.

The line through point P and pointing in the same direction as v is parallel to the other line that passes through the origin. Then the line we want can be obtained by translating the line through the origin by a vector p that points to (-4, 5, 2), so the vector equation for this line is

r (t ) = p + t v

r (t ) = (-4, 5, 2) + t (-6, 6, -5)

r (t ) = (-4 - 6t, 5 + 6t, 2 - 5t )

To get the parametric equations, simply take out the components:

x (t ) = -4 - 6t

y (t ) = 5 + 6t

z (t ) = 2 - 5t

Which describes the error and solve for surface area.

Answers

Second option
94 is the correct answer

60 + 7.20 + 7.80 please math is so dumb ​

Answers

75
60+7.20= 67.20
67.20+7.80= 75

Answer: 75

Step-by-step explanation: 7.20+7.80=15 then 15+60=75

can anyone give me some brainliest please, I need it to move on at least one?

Answers

Answer:

sure

Step-by-step explanation:

To be marked as brainiest,you should answer the questions asked by the people.If the answer is more helpful than the another person then the asker will mark your answer as brainliest .

I hope I removed your confusion..

A paper cup in the shape of a cone has a radius of 6 cm and is 5 cm high. What is the volume of the cup ?

Answers

The volume of the cone = 188.5 cm3


EMERGENCY PLZ HELP ASAP
For the diagram shown, x = 80 and y = 30. Determine the value of z.
A) 20
B) 40
C) 50
D) 100

Answers

Answer:

C) 50

Step-by-step explanation:

x+90+90+y+z=360

270+y+z=360

y+z=90

Therefore, C) 50

Answer:

50 degrees

Step-by-step explanation:

Ah ok so we know that x= 80 degrees.

y+z= x.

So all you have to do is input the values.

80-30=50

Hence the answer is C) 50

f(n)=93+4(n-1) Complete the recursive formula of f(n)

Answers

Answer:

f(1) = 93

f(n) = f(n - 1) + 4

Step-by-step explanation:

The recursive formula for an arithmetic sequence is given as:

f(1) = a

f(n) = f(n - 1) + d

where a = first term and d = common difference

An arithmetic sequence is in the form:

f(n) = a + d(n - 1)

where a = first term and d = common difference

The common difference in f(n) = 93 + 4(n-1) is 4.

The first term is 93.

The recursive formula is therefore:

f(1) = 93

f(n) = f(n - 1) + 4

Answer:

f(1)=93

f(n)=f(n-1)+4

Step-by-step explanation:

As you can see in the picture, the initial value is 93, which is why it's the first part of the equation. The 4 is multiplying the (n-1) part in the equation and as we complete the recursive formula of N, you have to put the numbers in the correct order.

What is the probability of rolling a number cube and getting a number greater than four?

Answers

The probability would be 8/12

Please helppp. Find the equation of line

Answers

Answer:

[tex]y=2/3x+4[/tex]

Step-by-step explanation:

[tex](0,4);(-6,0)[/tex]

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\frac{4-0}{0-(-6)} =\frac{4}{6}=\frac{2}{3}[/tex]

How many pennies are equal to 6 dimes?

Answers

Answer:

60 pennies

Step-by-step explanation:

Answer:

60 pennies

Step-by-step explanation:

Determine the measure of the named angle below.
mZK

K
40°

Answers

Step-by-step explanation:

Bro this problem cannot be solved. No solutions. I need at least one more angle or the type of triangle it is. Like iscoceles or scalene, or equilateral. Pls give me that info and then I can solve it for u

Kayla says that the point labeled C in the diagram below is the center.
Raymond says that point C is the radius.

Who is correct and why?

A.Kayla is correct; the center is a fixed point in the middle of the sphere.

B.Kayla is correct; the center is a line segment from the center to the surface of the sphere.

C.Raymond is correct; the radius is the fixed point in the middle of the sphere.

D.Raymond is correct; the radius is a chord that is from the center to the surface of the sphere.

HURRY I WILL GIVE U THE BRAINLYEST BECAUSE I AM IN A TIMER PLZ!!!!!!!!!!!!!!!!!!!!

Answers

Step-by-step explanation:

How do you find the mean of a data set ?

Answers

Step-by-step explanation:

You have to add up all the data values and then divide it by how many numbers there are. For example:

1,2,3,4,5,6,7

1+2+3+4+5+6+7= 28

There are 7 numbers, so 28/7 equals 4

Mean= 4

Add up all the numbers and then divide that number by how many there are.
Ex: data set of 3,5,7,8
Add together 3+5+7+8=23
Divide 23/4=5.75
5.75 is your mean

30 POINTS!!
find 10 rational numbers between -2/3 and 2/3

Answers

Answer:

Hey! Here is your answer. Hope it helps.

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