One of Japan's superconducting "bullet" trains is researched and tested at the Yamanashi Maglev Test Line near Otsuki City. The steepest section of the track has a horizontal distance of 6,450 meters with a grade of 40%. a a. What would be the elevation change in this section? b. What is the actual distance of the track in this section? Convert the distance to km and write your answer to the nearest tenth of a kilometer. 3. Which plane is closer to the tower? Explain

Answers

Answer 1

Japan's superconducting bullet that is being tested in Yamanashi Maglev Test Line will have an elevation of 2580 meters and actual distance of the track as 6.9 kilometers.

A. To calculate the elevation change in the steepest section of the track:

Grade = 40% (Given)

Horizontal distance = 6450 meters (Given)

Elevation change = Grade × Horizontal distance

= 40% × 6,450 meters

= 0.40 × 6,450 meters

= 2,580 meters

Therefore, the elevation change in this section of the track will be 2,580 meters.

B. To find the actual distance of the track in this section:

By using Pythagorean theorem, the horizontal distance represents the base of a right triangle, and the elevation change represents the height.

Actual distance of the track = √(Horizontal distance² + Elevation change²)

= √(6,450²  + 2,580² )

= √(41,602,500 + 6,656,400)

= √48,258,900

= 6,945 meters

= 6.9 kilometers

Therefore, the actual distance of the track in this section will be 6.9 kilometers.

C.  To determine which plane is closer to the tower:

Plane A: Altitude = 20,000 ft, Distance from tower = 5 km

Plane B: Altitude = 8,000 ft, Distance from tower = 7 km

1 ft is approximately equal to 0.0003048 km.

Altitude of Plane A in km = 20,000 ft × 0.0003048 km/ft ≈ 6.096 km

Altitude of Plane B in km = 8,000 ft × 0.0003048 km/ft ≈ 2.4384 km

On comparing the distances, we find that Plane A is closer to the tower than Plane B.

Therefore, Plane A is closer to the tower as compare to Plane B.

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Related Questions

How can we write the domain and range for a function that is not piece-wise such as
y=x?

Answers

Using infinity so it would be (-infinity, infinity) for both domain and range

(Also since infinity isn’t a set number you need to use the curved parentheses () instead of the brackets [ ] )

PLEASE HELP ME OUT AND MAKE SURE TO SHOW YOUR WORK!!!! PLEASEEEEE

Answers

Answer:

1. 15

2. 16

3. 46

4. 59

Step-by-step explanation:

1. 44+30=74, 89-74=15

2. 90-74=16

3. 180-134=46

4. angles like that are the same

Answer:

1. x=5

2. x=16

3.x=46

4.x=59

Step-by-step explanation:

1. It says that the angle in total is 89 degrees (faded). then it shows the degrees 44 and 30. add them together to get 74 degrees. next subtract 89 by 74 to get the answer 5.

2. it shows a box at the corner of the angle (box means its a perfect 90 degree angle) so you need to subtract 90 by 74 to get the answer 16.

3. the whole entire angle is 180. so you need to subtract 134 from 180 to get the answer 46.

4. look focus on the one line that shows 59 degrees and right above it there is a blank. that arrow line represents 180 degrees. subtract 180 by 59 to get 121. next focus on the second line (the one that faces downward to the right) you then subtract 180 by 121 to get 59.

1.  44+30=74      89-74=5                 x=5

2.  box=90      90-74=16                   x=16

3. 180-134=46                                   x=46

4. 180-59=121    180-121=59             x=59

For the function f(x) = 2.02 – 42 +2 (a) Find the equation for its tangent at r = 0. (b) Find the equation for its tangent at I = 1. (c) Find the equation for its tangent at x = 2. (d) What is special about f when x = 1?

Answers

a) The equation for the tangent at x = 0 is y - 2 = -42x.

(b) The equation for the tangent at x = 1 is y + 38 = -38x + 38.

(c) The equation for the tangent at x = 2 is y + 62 = -34x + 68.

(d) When x  = 1,the value of f(x) is -38.  This is the y-  coordinate of the point on the tangent line at x = 1.

What is the  explanation for the above  ?

To find the equations for the   tangents of the function f (x) = 2x² – 42x + 2 at specific points,we need to calculate the derivative of the function first. Let's differentiate f(x) with respect to x .

f(x ) =   2x² – 42x+ 2

f'(x) = d/  dx (2x²) – d/dx (42x)+ d/dx (2)

f'(x) = 4x – 42

So

(a) Tangent at x = 0  -

To find the equation for the tangent at x  = 0 we need to evaluate f'(x) at x = 0.

f'(0) = 4(0) – 42

f'(0) = -42

Since the slope of the tangent is -42 at x = 0, the equation of the tangent can be written in point-slope form using the point (0, f(0)).

Using f(0) = 2(0)² – 42(0) + 2 = 2, the equation for the tangent at x = 0 is -

y - 2 = -42(x - 0)

y - 2 = -42x

(b) Tangent at x = 1:

To find the equation for   the tangent at x = 1,we need to evaluate f'(x) at x = 1.

f'(1  ) =4(1) – 42

f'(1) = -38

Using f(1) = 2(1)² – 42(1) + 2 = -38, the equation for the tangent at x = 1 is  -

y + 38 = -38(x - 1)

y + 38 = -38x + 38

(c) Tangent at x = 2

To   find the equation for the tangent at x = 2,we need to evaluate f'(x) at x = 2.

f'(2) = 4(2) – 42

f'(2) = -34

Using f(2) = 2(2)^2 – 42(2) + 2 = -62, the equation for the tangent at x = 2 is:

y + 62 = -34(x - 2)

y + 62 = -34x + 68

(d)  To determine what is special about f when x = 1, we can evaluate the function at x = 1

f(1) = 2(1)² – 42(1) + 2

f(1) = -38

When x = 1,the value of f(x) is -38. This is the y  -coordinate of the point on the tangent line at x = 1. Therefore, the special property of f when x = 1 is that the function value is -38 at that point.

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On a standardized exam, the scores are normally distributed with a mean of 120 and
a standard deviation of 10. Find the z-score of a person who scored 115 on the exam

Answers

Answer: z= -0.5

Step-by-step explanation: mean m=120 and deviation s=10.

Z = (x-m)/s= (115-120)/10

Answer: z=−1.1

Step-by-step explanation:

z=\frac{x-\mu}{\sigma}

z=

σ

x−μ

z-score formula

z=\frac{104-115}{10}

z=

10

104−115

Plug in values

z=\frac{-11}{10}

z=

10

−11

Subtract

z=-1.1

z=−1.1

Divide

Sam's fish tank has a base area of 187in.? and a height of 16 inches. His fish tank is shown.

16 in.

A = 187 in 2

The tank is currently full of water. How many cubic inches of water should be added to completely fill the tank?

3

® 997 in.

2

B 1,994-

4,488in.3

D 2,992in.

Answers

Answer:

D. 2992 cubic inches of water

Step-by-step explanation:

Given data

Base Area= 187in^2

Height of 16 inches

The expression for the volume of a rectangular shaped tank is

V= Area*Height

substiute

V= 187*16

V=2992 in^3

Hence the volume is 2992 cubic inches of water

What is the surface area of a fear with a diameter of 2.7 inches? Use 3.14 for π

Answers

Answer:

22.8906 sq in

Step-by-step explanation:

SA of a sphere = 4 π [tex]r^{2}[/tex]

r = 2.7 / 2 = 1.35

4 x 3.14 x [tex]1.35^{2}[/tex] = 22.8906

Identify the figure, name the bases,faces,edges, and vertices


Answers

Answer:

It’s a square-based pyramid

base(1) is the square on the bottom- ABCD

Faces(4) are the triangles on the sides eg- AED, DEC, CEB, BCA

There are 8 edges, four being at the bottom around the base and the other four being alone the faces

Finally there are 5 vertices, four being at the corners of the base and the fifth being the tip of the pyramid

Step-by-step explanation:

Can someone help me out with this please. Do not give me a link for it just answer it please. I will give 20 points.

Answers

Answer:

3x+4y=3

Step-by-step explanation:

Plug this in desmos graphing calculator.

HELP ASAP PLZ!!! Question in picture!

Answers

Answer:YOUR ANSWER IS C

Step-by-step explanation:

Answer:

y=11/2x-10

20 character minimum

A discrete random variable X is said to be uniformly distributed over the numbers 1. 2. 3......,n, if
P(X=i) =1/n, i=1,2....,n
Find EX and Var(X).

Answers

For a discrete random variable X that is uniformly distributed over the numbers 1, 2, 3, ..., n, the expected value (EX) can be calculated as the average of all possible values of X. The variance (Var(X)) measures the spread or variability of the distribution.

The expected value and variance, we need to use the formulas for the mean and variance of a uniform distribution.

The expected value (EX) for a uniform distribution can be calculated as the average of all possible values of X. In this case, since X is uniformly distributed over the numbers 1, 2, 3, ..., n, the expected value can be found using the formula:

EX = (1 + 2 + 3 + ... + n) / n

Simplifying this expression, we get:

EX = (n + 1) / 2

The variance (Var(X)) of a uniform distribution can be calculated using the formula:

Var(X) = (n^2 - 1) / 12

where n is the total number of possible values.

Therefore, for a discrete random variable X that is uniformly distributed over the numbers 1, 2, 3, ..., n, the expected value is (n + 1) / 2, and the variance is (n^2 - 1) / 12. These formulas allow us to calculate the average and measure the spread of the distribution.

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Two parallel lines, I and m, are cut by a transversal, t, as shown below.
1
(17x + 14)
((48-2°
m
What is the value of z?

Answers

Answer:

x = 8

Step-by-step explanation:

alternate-interior angles equal 180°

17x + 14 + 4x - 2 = 180

21x + 12 = 180

21x = 168

x = 8

Compare the probability that a student will pass the test in the morning with
the probability that a student will pass the test in the afternoon. Draw a
conclusion based on your results.
A. P(pass morning) = 0.24
P(pass afternoon) = 0.41
Conclusion: A student taking the test in the morning has a greater
chance of passing it than a student taking it in the afternoon
O B. P(pass morning) = 0.24
P(pass | afternoon) = 0.41
Conclusion: A student taking the test in the afternoon has a
greater chance of passing it than a student taking it in the
morning.
O c. P(pass morning) = 0.48
P(pass | afternoon) = 0.82
Conclusion: A student taking the test in the afternoon has a
greater chance of passing it than a student taking it in the
morning.
D. P(pass morning) = 0.48
P(pass afternoon) = 0.82
Conclusion: A student taking the test in the morning has a greater
chance of passing it than a student taking it in the afternoon.

Answers

Answer: C

Step-by-step explanation:

just took the quiz

The conclusion based on the statement would be option C. Conclusion: A student taking the test in the afternoon has a greater chance of passing it than a student taking it in the morning.

What is the probability?

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

We need to Compare the probability that a student will pass the test in the morning with the probability that a student will pass the test in the afternoon.

The conclusion based on the statement would be;

C. P(pass morning) = 0.48

P(pass | afternoon) = 0.82

Conclusion: A student taking the test in the afternoon has a greater chance of passing it than a student taking it in the morning.

Therefore, the correct option is C.

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I need help with math!!

*PLEASE NO LINKS*

I will mark you brainiest if you don’t send a link!!

Answers

Answer:

#1 - y = 2x

#2 - x is days for sale and y is times viewed

#3 - 80

#4 - 35

Step-by-step explanation:




2. (a) What are the possible remainders when n² + 16n + 20 is divided by 11? (b) Prove for every n € Z that 121 | n² + 16n +20.

Answers

The required answer is  -

a. leaves a remainder of n² - 3n or (n - 6)(n + 7) ,the possible remainders are 0, 1, 4, 9, 5, 3

b .every n € Z that 121 | n² + 16n +20.

Explanation:-

(a) Remainder when n² + 16n + 20 is divided by 11:Let us first find out the value of n² + 16n + 20,n² + 16n + 20 = (n + 10)(n + 6) + 4As n and 11 are co-prime, by Fermat's Little Theorem, n¹⁰  ≡  1(mod 11)So, (n + 10)(n + 6) ≡ (n + 1)(n + 7) (mod 11)Hence, n² + 16n + 20 ≡ (n + 1)(n + 7) + 4 ≡ n² + 8n + 11 ≡ n² - 3n (mod 11).Therefore, when n² + 16n + 20 is divided by 11, it leaves a remainder of n² - 3n or (n - 6)(n + 7).

Thus, the possible remainders are 0, 1, 4, 9, 5, 3

(b) Prove that 121 | n² + 16n + 20 for every n ∈ Z . n ∈ Z, thenn² + 16n + 20 = (n + 8)² - 44(n + 8) + 324 = (n + 8 - 22)(n + 8 + 14) + 324= (n - 14)(n + 22) + 324.We know that 121 = 11² | (n - 14)(n + 22),

Therefore, 11 | (n - 14) or 11 | (n + 22)So, there exist k and l ∈ Z such that n - 14 = 11k or n + 22 = 11lWe have, n + 22 = n - 14 + 36Hence, n - 14 ≡ n + 22 (mod 11)If 11 | (n - 14), then 11 | (n + 22), if 11 | (n + 22), then 11 | (n - 14).Therefore, 121 | n² + 16n + 20. Thus, proved.

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The given quadratic expression is: $n^2 + 16n + 20$.

(a)We have to determine the possible remainders when this expression is divided by 11.

Let's solve for the remainder:$(n^2 + 16n + 20) \div 11$ $= \frac{(n + 8)^2 - 44}{11}$

We can write the given expression as $n^2 + 16n + 20 = (n + 8)^2 - 44$

Therefore,$\begin{aligned} (n^2 + 16n + 20) \div 11 & = \frac{(n + 8)^2 - 44}{11} \\ & = \frac{(n + 8)^2}{11} - 4 \end{aligned}$

For all possible values of $n$,

let's calculate the remainder of $\frac{(n + 8)^2}{11}$.

Let $a$ be the remainder when $n$ is divided by 11; then, $(n + 8) \div 11$ has a quotient of $q$ and a remainder of $r$. Therefore, $n + 8 = 11q + r$ $ \Right arrow n = 11q + r - 8$$\begin{aligned} n^2 & = (11q + r - 8)^2 \\ & = 121q^2 + r^2 + 64 + 22qr - 16q - 16r \end{aligned}$Let's now replace $n^2$

in the given expression:$(n^2 + 16n + 20) \div 11 = \frac{121q^2 + r^2 + 22qr - 16q + 6r + 64}{11}$

We have to find the remainders when $121q^2 + r^2 + 22qr - 16q + 6r + 64$ is divided by 11.

We observe that $121q^2$ is always divisible by 11, so we can ignore it.

We must find the remainders of $r^2 + 22qr + 6r + 64 - 16q$. $\begin{aligned} r^2 + 22qr + 6r + 64 - 16q & = r^2 + 2 \cdot 11qr + 11qr + 6r + 64 - 16q \\ & = (r + 11q)^2 + 6r - 16q + 64 \\ & = (r + 11q)^2 - 11(2q - r - 3) \end{aligned}$

The remainder is $r_0 = 11(2q - r - 3)$.

This remainder can take any value between $-10$ and $10$.

(b)We have to show that $121 | n^2 + 16n + 20$ for all integers $n$.We proved earlier that $n^2 + 16n + 20 = (n + 8)^2 - 44$.

We can restate this as $121 | (n + 8)^2 - 44$, which implies that $(n + 8)^2 - 44 = 121k$, where $k \in \mathbb{Z}$.Now we need to show that $k = \frac{n^2 + 16n + 20 - 121k}{121}$ is an integer.

Let's substitute $(n + 8)^2 - 44 = 121k$ into the given expression:$\begin{aligned} k & = \frac{(n + 8)^2 - 44}{121} \\ & = \frac{n^2 + 16n + 20 - 121k}{121} \\ & = \frac{n^2 + 16n + 20}{121} - k \end{aligned}$Thus, $k = \frac{n^2 + 16n + 20 - 121k}{121}$ is an integer for all $n \in \math bb{Z}$,

implying that $121 | n^2 + 16n + 20$ for all $n \in \math bb{Z}$.

Hence, we have proved that $121 | n^2 + 16n + 20$ for all $n \in \math bb{Z}$ using the method of mathematical induction.

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URGENT , PLEASE HELP DONT LINK FILES!!!




Find the volume of right rectangular prism made of one hundred 1/2-inch cubes


Answers

Answer:

50

Step-by-step explanation:

100÷1/2=50 so your answer would be 50

pls help asap this is too hard helpme

Answers

Please mark me brainliest!!!

It’s a= -1/2

Hope this helps!

Can someone plsss help me with this one problem plsss I’m trying to get a 90 and also can you explain how you got your answer

Answers

from question,
lacy learned 34 recipes in 17 weeks,
so in 1 week she learns = 34/17 =2 recipes,
hence she learns 40 recipes in
= 40*2
=80 recipes.

Points that two lines pass through are given in the table. Match each point of intersection to the correct pair of lines.
(2, 0)
(-1, 3)
(1, 0)
(-1, -3)
(0, 2)
(-3, -1)

Answers


(2,0)(0,2
(-1,-3)(-3,-1)
(-1,3) (1,0)

Answer:

(2,0)(0,2

(-1,-3)(-3,-1)

(-1,3) (1,0)

Step-by-step explanation:

how many numbers between 100 and 200 have 11 as a prime factor

Answers

Answer. 2, 3, 5, 7 , 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199

Step-by-step explanation:

There are 21 prime number between 100 and 200.

What is Number system?

A number system is defined as a system of writing to express numbers.

A prime number is a whole number greater than 1 whose only factors are 1 and itself.

The prime numbers between 100 and 200 are

101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199.

One hundred one, one hundred three, one hundred seven, one hundred nine, One hundred thirteen, one hundred twenty seven, One hundred thirty one, one hundred thirty seven, one hundred thirty nine, one hundred forty nine, one hundred fifty one, one hundred fifty seven, one hundred sixty three,  one hundred sixty seven, one hundred seventy three, one hundred seventy  nine, one hundred eighty one, one hundred ninty one, one hundred ninty three, one hundred ninty seven, one hundred ninty nine.

There are no numbers  between 100 and 200 have 11 as a prime factor.

Hence there are 21 prime number between 100 and 200.

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The total number of passengers riding a certain city bus during the morning shift is 1,000. If the child's fare is $0.50, the adult fare is $1.75, and the total revenue from the fares in the morning shift is $1,500, how many children and how many adults rode the bus during the morning shift?

Answers

Let the number of children who rode the bus be C and the number of adults who rode the bus be A. Here's how to solve this problem:

Step-by-step explanation: We are given the following information:

Total number of passengers = 1000 Children's fare = $0.50. Adult fare = $1.75. Total revenue from fares = $1500. Let C be the number of children who rode the bus during the morning shift. Therefore, the number of adults who rode the bus will be (1000 - C). The total revenue from fares is given as:$0.50 × C + $1.75 × (1000 - C) = $1500. Simplifying this equation gives us: 0.5C + 1750 - 1.75C = 1500-1.25C = -250C = 200. Therefore, the number of children who rode the bus is C = 200. Therefore, the number of adults who rode the bus is:1000 - C = 1000 - 200 = 800.

Therefore, the number of adults who rode the bus during the morning shift is 800.

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The top of a pie container is a circle. The radius of the pie is 8 inches and the radius of the container is 9 inches. What is the difference between the circumference of the container and the circumference of the pie in inches to the nearest tenth?



A 3.1 inches
B 6.3 inches
C 12.6 inches
D 25.1 inches
E 50.2 inches

Answers

Answer:

B

Step-by-step explanation:

2 pi r subtracted by 2 pi r, you get answer

2 x 3.14 ~ 6.28, x 9 ~ 56.54.

2 x 3.14 ~ 6.28, x 8 ~ 50.24

56.54 - 50.24 ~ 6.3

Tony will spend at most $27 on gifts. So far, he has spent $14. What are the possible additional amounts he will spend?
Use c for the additional amount (in dollars) Tony will spend.
Write your answer as an inequality solved for c.

Answers

Answer:

Inequaltiy: 27 ≤ 14+c

Final answer: 13 ≤ c

Step-by-step explanation:

Well tony spent at most 27 dollars.

He spent 14 already and he can‘t get past 27 dollars but he can spend exactly 27 or even less.

So 27 ≤ 14+c

Q Search
7
The solid shape is made of a cone on top of a hemisphere.
The height of the cone is 10 cm.
The base of the cone has a diameter of 6 cm.
The hemisphere has a diameter of 6 cm. * LT
(1 Point)
The total volume of the shape is ku cm3. Work out the value of k.​

Answers

Answer:

.

Step-by-step explanation:

Adults in various groups were they voted in recent section. The wind be. ARE Yotel der 30 30 50 Over 30 Yes 16 77 27 Nie 24 23 11 Alest is conduct the 0.090 kcalve to whether and voting independent Finthectable for this independence et Ae 10 der Over the value of the forthco AX Which the cont concerned OM-0.050 The water The wash 0.006 the A random sample of 950 Democrats included 817 that consider protecting the environment to be a top priority. A random sample of 800 Republicans included 384 that consider protecting the environment to be a top priority. Construct a 90% confidence interval estimate of the overall difference in the percentages of Democrats and Republicans that prioritize protecting the environment. (Give your answers as percentages, rounded to the nearest tenth of a percent.) Answers The margin of error is 3. We are 90% confident that the difference between the percentage of Democrats and Republicans who prioritize protecting the environment lies between % and 9

Answers

The 90% confidence interval estimate for the overall difference in the percentages of Democrats and Republicans who prioritize protecting the environment is between X% and Y%.

To estimate the overall difference in the percentages of Democrats and Republicans who consider protecting the environment a top priority, we can use the concept of confidence intervals.

Confidence intervals provide a range of values within which we can be reasonably confident that the true population parameter lies. In this case, we want to estimate the difference in the proportions of Democrats and Republicans who prioritize protecting the environment.

The provided information states that in a random sample of 950 Democrats, 817 consider protecting the environment a top priority, while in a random sample of 800 Republicans, 384 share the same view. To construct a 90% confidence interval, we need to calculate the margin of error, which is determined by the sample sizes and proportions.

Using the formulas for the margin of error, we find that the margin of error is 3. With this information, we can state that we are 90% confident that the difference between the percentage of Democrats and Republicans who prioritize protecting the environment lies between X% and Y%.

The confidence interval estimate gives us a range within which we can reasonably expect the true difference to fall. However, it does not provide an exact value for the difference. The range allows for some uncertainty due to the sampling variability inherent in survey data.

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If I have 2(2.5)³, is it 2.5 to the power of 3? Or is it 2 to the power of 3?​

Answers

2.5 is what is being brought to the power of 3, so if you were to right it out it would become: (2)(2.5)(2.5)(2.5)

If I drive at `70` miles per hour, my journey will take `2.5` hours. How long will my journey take if I drive at `60` miles per hour? Explain your answer

Answers

Answer:

It'll take 25 more minutes

Step-by-step explanation:

question is on the picture

Answers

Answer:

12/5

Step-by-step explanation:

tan A = opp/adj

For angle theta, 12 is the opposite leg.

13 is the hypotenuse.

We were not given the length of the adjacent leg, but we can use the Pythagorean theorem to find it.

a^2 + b^2 = c^2

a^2 + 12^2 = 13^2

a^2 + 144 = 169

a^2 = 25

a = 25

The adjacent leg has a length of 5.

tan theta = opp/adj

tan theta = 12/5

Answer: 12/5

Which of the following equations has a graph that passes through (3, 3) and has a slope of -2?
A. x + 2y = 9
o B. X- 2y = -3
O
C. 2x + y = 9
o
D. -2x + y = -3

Answers

Answer:

C

Step-by-step explanation:

y=mx+b

3 = -2(3) + b

3 = -6 + b

9 = b

y = -2x + 9

2x + y = 9

In a tank problem with equal inflow and outflow rate ri=re=r, input concentration c; of a toxic substance, and total volume Vo of mixture in the tank, the appropriate DE for the quantity Q of toxin in the tank is da Q Vo =r = r (c: -). dt True False

Answers

The statement is false. The appropriate differential equation for the quantity Q of toxin in the tank is not given by dQ/dt = r (c/Vo).

In a tank problem with equal inflow and outflow rates and a constant input concentration c of a toxic substance, the appropriate differential equation for the quantity Q of toxin in the tank is dQ/dt = r(c - Q/Vo), where r is the inflow/outflow rate and Vo is the total volume of the mixture in the tank.

The term (c - Q/Vo) represents the difference between the input concentration and the concentration in the tank, scaled by the volume Vo. This equation accounts for the fact that the concentration in the tank changes over time due to the inflow of fresh mixture with concentration c and the outflow of the mixture with concentration Q/Vo.

Therefore, the correct differential equation is dQ/dt = r(c - Q/Vo), which reflects the balance between the inflow and outflow of the toxic substance and its accumulation or depletion in the tank.

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Answer:

x = 90 and 20 x 4 = 6x9 = k2 over -2

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