Joaquin takes the bus to and from school each day. he recorded the number of people on the bus when he got on the bus each morning and the number of people on the bus when he got off the bus each afternoon for 5 days. His data is shown on the coordinate plane below.

The equation for the equilibrium of carbonic acid (H2CO3) and bicarbonate (HCO3-) is: H2CO3 ⇌ H+ + HCO3- and equation for the equilibrium of bicarbonate (HCO3-) and carbon dioxide (CO2) is: HCO3- ⇌ H+ + CO2.

The equation for the equilibrium of carbonic acid (H2CO3) and bicarbonate (HCO3-) is: H2CO3 ⇌ H+ + HCO3-

The equation for the equilibrium of bicarbonate (HCO3-) and carbon dioxide (CO2) is: HCO3- ⇌ H+ + CO2

At 37°C, the pKa for carbonic acid (H2CO3) is 3.83, which means that the concentration of H+ in the first equation will be 10^-3.83 = 0.000195 M. The concentration of HCO3- in the first equation will be 0.000195 M.

The pKa for bicarbonate (HCO3-) is 10.25, which means that the concentration of H+ in the second equation will be 10^-10.25 = 0.00000007 M. The concentration of CO2 in the second equation will be 0.00000007 M.

Therefore, The equation for the equilibrium of carbonic acid (H2CO3) and bicarbonate (HCO3-) is: H2CO3 ⇌ H+ + HCO3- and equation for the equilibrium of bicarbonate (HCO3-) and carbon dioxide (CO2) is: HCO3- ⇌ H+ + CO2.

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Here the population growth is as per the Malthusian model. As per the calculations, the bacterial population will reach 10000 after 33 days.

Here the bacterial growth is as per the exponential growth curve. So the equation is,

   [tex]P_{t} = P_{0} e^{rt}[/tex]

[tex]P_{t}[/tex] is the population at n

[tex]P_{0}[/tex] is the initial population

r is the time

t is the rate

Population doubles after 10 days.

So,  [tex]2000 = 1000e^{r*10} \\\\\frac{2000}{1000} = e^{10r}\\\\ 2 = e^{10r\\}\\\\[/tex]

Taking logarithms on both sides

[tex]ln(2) = lne^{10r}\\\\10r = 0.693\\ \\r = 0.0693[/tex]

So the rate is 0.0693.

When population reaches 10000,

[tex]10000 =1000e^{0.0693t}[/tex]

[tex]\frac{10000}{1000} =e^{0.0693n}[/tex]

[tex]10 = e^{0.0693*t}\\ \\ln(10) = ln(e^{0.0693t}\\ \\2.3 = 0.0693t\\\\t = 2.3/0.0693\\= 33.18[/tex]

So the number of days to reach population of 10000 is 33.18≈ 33 days.

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The factors of given polynomial are (2x-1) ( x+2 ) (x-4) (x+2 ) .

What is Algebraic expression ?

Algebraic expression can be defined as the combination of variables and constants.

Given expression,

2x^4 + x^3 - 29x^2 - 34x + 24 = 0

By Rational Root Theorem, all rational roots of a polynomial are in the form p/q, where p divides the constant term 24 and q divides the leading coefficient 2. One such root is 4. Factor the polynomial by dividing it by x-4.

(x-4)(2x^3 + 9x^2 + 7x-6)

Consider 2x³+9x²+7x-6. By Rational Root Theorem, all rational roots of a polynomial are in the form p/q, where p divides the constant term -6 and q divides the leading coefficient 2. One such root is -3. Factor the polynomial by dividing it by x+3.

(x+3) ( 2x^2+3x-2)

Consider 2x²+3x-2. Factor the expression by grouping. First, the expression needs to be rewritten as 2x²+ax+bx-2. To find a and b, set up a system to be solved.

a+b = 3

ab = 2(-2) = -4

As ab is negative, a and b have the opposite signs. As a+b is positive, the positive number has greater absolute value than the negative. List all such integer pairs that give product -4.

(-1,4)

(-2,2)

Calculate the sum for each pair.

-1+ 4 = 3

-2+2 = 0

The solution is the pair that gives sum 3.

a = -1

b = 4

Rewrite ( 2x^2+3x-2)  as  ( 2x^2-x ) + (4x - 2 )

( 2x^2-x ) + (4x - 2 )

Exclude x in the first group and 2 in the second group.

x (2x-1 ) + 2 (2x-1)

Factor out common term 2x-1 by using distributive property.

(2x-1 ) ( x +2 )

Rewrite the complete factored expression

(2x-1) ( x+2 ) (x-4) (x+2 ) .

Hence, The factors of given polynomial are (2x-1) ( x+2 ) (x-4) (x+2 ) .

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The number of ways that NC license plates meet the requirement is 78125

There are 7 places to be filled in the number plate

The NC license plate can be represented as below.

Since there are 5 vowels. So, each of the first three places can be filled in 5 ways. and also each of the last four places can be filled in 5 ways.

So, each place looks like the below:

5 ways 5 ways 5 ways 5 ways 5 ways 5 ways 5 ways

So, the number of possible NC license plates that meets the requirement is

5^7 = 78125

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Answer:

(d - 4)² - 7

Step-by-step explanation:

Formula for completing the square: x² + ax + b = (x + [tex]\frac{a}{2}[/tex])² - ([tex]\frac{a}{2}[/tex])² + b

d² - 8d + 9 = (d - [tex]\frac{8}{2}[/tex])² - ([tex]\frac{8}{2}[/tex])² + 9

                  = (d - 4)² - 4² + 9

                  = (d - 4)² - 16 + 9

                  = (d - 4)² - 7

For each period, the stock price or trade volume is shown on the vertical axis. There are numerous chart types that can be employed in technical analysis.

A bar chart shows the open, high, low, and closing prices of a security or asset over a predetermined amount of time. A price bar's vertical line depicts the high and low prices for the specified time period. Each price bar's left and right horizontal lines stand in for the open and closing prices.

Bar graphs display the frequency counts of values for various levels of a nominal or categorical variable. Other statistics, including percentages, are occasionally displayed on bar charts. Figure 1 shows an illustration of a bar chart showing survey response data.

For each period, the stock price or trade volume is shown on the vertical axis. There are numerous chart types that can be employed in technical analysis.

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The complete question is "

jacknyrox18

05/19/2020

Chemistry

High School

answered

Look at the chart showing the daily stock data for WebTrend Inc.’s stock over the past month, and read this stock analyst’s view of the stock:

Stock analyst: There is a downward trend of the data with the peak price achieved on March 13. Investors are interested in WebTrend Inc. as demonstrated by the increase in trading volume.

Which statement is a fair conclusion based on the chart and the analyst’s comments about the WebTrend stock?

A.

The stock price increased and volume decreased on April 3.

B.

One month is not enough time to determine whether the price is at a low.

C.

The price has been falling, so an investor can assume it will begin to rise again soon.

D.

When the price change is negative for the day, an investor can assume the trading volume will decrease.

"

Answer: The answer is 0.125 cups.

Step-by-step explanation:

First, you need to find the unit rate of the draining.

7.5 gallons = one minute

Divide 7.5 by 60 seconds

After dividing, you should get 0.125 cups of water per second.

Therefore, the pool drained at a rate of 0.125 cups every second.

Hope this helps! :)

Answer:

The area of rectangle WXYZ is 175.36 square inches. To find the area, you multiply the length (10.8 inches) by the width (16.2 inches). 10.8 x 16.2 = 175.36.

Answer:

To find the length of q, we can use the Law of Cosines formula:

q = sqrt(p^2 + o^2 - 2 * p * o * cos(Q))

where p and o are the lengths of sides PQ and PO, and Q is the measure of the included angle between them.

Since we know that p = 9.7 inches and ∠Q = 93°, we can use the Law of Sines to find o:

sin(Q) = o/q

=> o = q * sin(Q)

=> o = 9.7 * sin(93)

Using this formula and rounding to the nearest tenth, we can find that o = 11.7 inches.

Now we can use the Law of Cosines to find q:

q = sqrt(p^2 + o^2 - 2 * p * o * cos(Q))

=> q = sqrt(9.7^2 + 11.7^2 - 2 * 9.7 * 11.7 * cos(93))

Rounding to the nearest tenth, we get that q = 17.2 inches.

Answer:

111.1

Step-by-step explanation:

Answer: 1 quarter or 0.25 cents.

Step-by-step explanation: According to the illustration shown, we can infer that the coin we are looking for is for 1 value. So, if we subtract the amount shown (total) from the other coins (pennies in this case), 0.27 - 0.02 = 0.25 which is equivalent to the coin of the quarter (worth $0.25 USD) So, the blanks would look like this:

1 quarters

0 dimes

0 nickles

2 pennies

I hope this helped!

The point lies on the graph of the function will be (2, 18). Then the correct option is A.

Let a be the initial value and x be the power of the exponent function and b be the increasing factor.

The exponent is given as

y = a(b)ˣ

The exponent equation is given below.

y = 2(3)ˣ

At x = 2, the value of the variable 'y' is given as,

y = 2(3)²

y = 2(9)

y = 18

The point lies on the graph of the function will be (2, 18). Then the correct option is A.

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The missing options are given below.

A. (2, 18)

B. (2, 11)

C. (2, 8)

D. (2, 12)

Answer:

36 inches.

There are 12 inches in 1 foot, and snce there are 3, then you will multiply:

12 * 3 = 36

Step-by-step explanation:

Hope it helps! =D

The radius of each of the sphere is 1.1 centimetres.

Fifteen solid spheres are made by melting a solid metallic cone of base diameter 2cm and height 15cm. Therefore, let's find the volume of the cone to know the radius of the sphere.

Hence,

volume of a cone = 1 / 3 πr²h

where

Therefore,

volume of the cone = 1 / 3 × π × 1² × 15

volume of the cone = 5π cm³

Therefore, let's find the radius of the sphere.

volume of a sphere = 4πr³

where

5π = 4 × π × r³

r³ = 5 / 4

r = ∛5 / 4

r = 1.07721734502

Therefore,

radius of each sphere = 1.1 cm

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Answer: It is because the length of the diagonals are not equal.

Step-by-step explanation: Note:  The diagonals of a square are equal

The slope of FG is equal to 1/5 while the slope of HJ is equal to -2.

Lines FG and HJ are neither parallel nor perpendicular because their slopes are different and not an inverse of each other.

In Mathematics, the slope of any straight line can be determined by using this mathematical equation;

Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

For the slope of line FG, we have the following:

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (2 - 1)/(8 - 3)

Slope (m) of line FG = 1/5.

For the slope of line HJ, we have the following:

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (6 - 4)/(1 - 2)

Slope (m) of line HJ = -2/1.

Slope (m) of line HJ = -2.

In Mathematics, a condition that must be met for two lines to be perpendicular is given by m₁ × m₂ = -1 while m₁ = m₂ for an two lines that are parallel.

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Step-by-step explanation:

To find the ratio of the payment for gas to the payment for electricity, we can use the following formula:

(Payment for gas) : (Payment for electricity) = (Gas payment) : (Electricity payment)

We know that the total bill was $55 and the payment for electricity was $30.

So, the payment for gas would be: $55 - $30 = $25

Therefore, the ratio of the payment for gas to the payment for electricity is:

($25) : ($30) = 25 : 30

You can simplify this ratio to 5:6 or you can write it as 25:30

Answer:

area = length * width

1,500 = 50 m * width

width = 1,500 / 50

width = 30 meters

Step-by-step explanation:

The function that best represented by this graph is f(x) = −x² + 1.

What is a quadratic function?

A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. In other terms, a "polynomial function of degree 2" is a quadratic function.

A graph of a function is given in the image.

The parent function of the graph is g(x) = x².

And the graph is negative of the parent function.

And shifted upwards to 1 point.

That means, the function is f(x) = −x² + 1.

Therefore, the function is f(x) = −x² + 1.

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4. The magnitude of angle S is 40°. Answer A.

5. The value of x is 48°. Answer B.

6. The true conclusion is Trevor is correct because the point (4 , 0) satisfies both equations. Answer B.

7. The system of equations has infinitely many solutions. Answer D.

Two parallel lines cut by a transversal form several angles. Look at the top image on the left. Two types of alternate angles have the same magnitude of the angle

The tangent line of two parallel lines is equals

4. From the picture

5. Look at the top image on the right.

6. Solve the system of equations with the substitution method

7. The system of equations

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Answer:

To prove that triangle TUW is isosceles, we can use the fact that ray TV bisects angle ZUT and is an altitude in triangle TUW.

Since ray TV bisects angle ZUT, it splits the angle into two congruent angles, ZTV and TVU. This means that angle ZTV is congruent to angle TVU.

Since ray TV is an altitude in triangle TUW, it forms a right angle with the base of the triangle, which is line segment TU. This means that angle TVU is a right angle, and therefore, angle ZTV is a right angle as well.

Since angle ZTV and angle TVU are congruent right angles, we know that the two sides that form these angles, UT and TU, are congruent. This means that side UT is congruent to side TU, and therefore, triangle TUW is isosceles.

The scenarios that contain biased samples is Kenneth wants to estimate the mean market shares of his company. he collects data by selecting a random group of coworkers within one department. to estimate the male to female ratio of the residents of her city, janice collects data by recording the sex of every 50th resident after selecting a random starting point on a list of residents.

When some members of a population are systematically more likely to be chosen in a sample than others, this is known as sampling bias. the thing that makes sampling bias significant is that  Sampling bias poses a risk to external validity since it restricts the applicability of your findings to a larger population.

The market shares only reflect one department, and no other employees have an equal chance of being chosen to represent all sales in the company, hence the sample from option B is skewed.

Therefore, option B is correct.

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Answer:

[tex]\frac{1}{5}[/tex] are red

Step-by-step explanation:

ratio of red : yellow = 1 : 4

total of ratio parts = 1 + 4 = 5 parts

then fraction of red counters is

[tex]\frac{1}{5}[/tex]

fraction of yellow counters is [tex]\frac{4}{5}[/tex]

The probability that the machine is up at times n = 5, 10, 15, and 20 can be calculated as n = 5: 0.773797, n = 10: 0.60653065, n = 15: 0.47000363 and n = 20: 0.35831814.

For the machine described in Conceptual Problem 2.8, the probability that the machine is up at times n = 5, 10, 15, and 20 can be calculated using the formula:

P(machine is up at time n) = P(machine was up at time n-1) * p

Given that the machine is initially up and p = 0.95, the probabilities are as follows:

As for the transition probability matrix of the DTMC {Xn, n > 0}, the possible transitions are:

Thus, the transition probability matrix and the transition probability matrix of the DTMC {Xn, n > 0}  can be represented as attached in the below image:

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The situation represent a non-linear function

A function can be described as an expression,  law or rule that explains the relationship between two variables.

These variables are;

The different types of functions are;

A nonlinear function is defined as a function having a graph that is not a straight line.

This means that the equation of the graph does not that the mathematical form, ax +b  

From the information given, we have that;

Area = 2s²

Hence, it is a non-linear function.

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Answer:

To determine if the expression 100000x+100y+10z or 100000x+100y+z is divisible by 3, 7, 13, and 37, you can use the divisibility rules for each number.

Divisibility by 3: To check if a number is divisible by 3, you can add up the digits of the number, then check if the sum is divisible by 3.

Divisibility by 7: To check if a number is divisible by 7, you can subtract twice the last digit from the remaining number, then check if the result is divisible by 7.

Divisibility by 13: To check if a number is divisible by 13, you can subtract 10 times the last digit from the remaining number, then check if the result is divisible by 13.

Divisibility by 37: To check if a number is divisible by 37, you can subtract 30 times the last digit from the remaining number, then check if the result is divisible by 37.

By applying these divisibility rules to the expression 100000x+100y+10z or 100000x+100y+z, you can determine if it is divisible by 3, 7, 13, and 37.

Answer:

(3, 1 )

Step-by-step explanation:

x = 3y → (1)

2x + 4y = 10 → (2)

substitute x = 3y into (2)

2(3y) + 4y = 10

6y + 4y = 10

10y = 10 ( divide both sides by 10 )

y = 1

substitute y = 1 into (1)

x = 3y = 3(1) = 3

solution is (3, 1 )

Answer:

PR is equal to 3

Step-by-step explanation:

line QR is 0.6 bigger than line SR. So I did SR + 0.6 = 2.4 + 0.6 = 3

Therefore, our answer is 3

Answer: 122.81

Step-by-step explanation:

If 86 seals dove for a combined total depth of 10,578 meters, each seal would have dove an average of 122.81 meters (10,578 meters / 86 seals)

[tex]10578 \div 86 = 122.81[/tex]

The x-coordinates of the inflection points of this function are −1 and −1/3.

In this case, we are looking for the open intervals on which the function f(x) = −x⁴ − 9x³ + 4x − 6 is concave up (down) and the x-coordinates of the inflection points of the function.

To find the open intervals on which f is concave up, we must first calculate the second derivative of the function.

The second derivative of the function f(x) is

=> f''(x) = −12x³ − 27x² + 4.

This means that the function f is concave up when f''(x) > 0 and concave down when f''(x) < 0. Solving the equation f''(x) > 0 will give us the intervals on which the function is concave up.

These are the intervals (−∞, −1), (−1, −1/3), and (−1/3, ∞).

Similarly, solving the equation f''(x) < 0 will give us the intervals on which the function is concave down. These intervals are (−1, −1/3) and (−1/3, 0).

We can now determine the x-coordinates of all inflection points of the function f by finding the x-values at which the second derivative is equal to zero.

Solving the equation f''(x) = 0 will give us the x-coordinates of the inflection points, in this case −1 and −1/3.

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The initial value problem [tex](9ye^9xy-5/y)dx (9xe^9xy 5x/y^2)dy=0, y(3)=3[/tex] can be approximated using numerical methods such as the Euler method.

To find the initial value problem is a differential equation of the form:

[tex](9ye^(9xy) - 5/y) dx + (9xe^(9xy) - 5x/y^2) dy = 0[/tex]

with the initial condition y(3) = 3.

Since this is an implicit solution, we cannot find an explicit solution for y in terms of x. However, we can use numerical methods to find approximate solutions for y. One such method is the Euler method.

In the Euler method, we start with an initial estimate for y(x), and then use the derivative information to find y(x + h), where h is a small step size. We then use the new estimate to find the next value, and so on.

To apply the Euler method to this problem, we start with the initial condition y(3) = 3, and then use the following formula to estimate y(x + h):

y(x + h) = y(x) + h * f(x, y(x))

where f(x, y) is the derivative information from the differential equation:

[tex]f(x, y) = -(9xe^(9xy) - 5x/y^2) / (9ye^(9xy) - 5/y)[/tex]

Using the Euler method, we can iteratively estimate y(x) for increasing values of x, until we reach a desired value of x or the accuracy is within an acceptable limit.

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