A driver's distance D in miles from a rest stop after x hours is given by D(x) = 72x.
a) How far is the driver from the rest stop
after 3 hours?
b) Find the slope of the graph of D. Interpret
this slope as a rate of change.

Answers

Answer 1
the driver is 24 hours

the slop is 72 (x is always slope)
Answer 2

Answer & Step By Step Explanation:

a) The function D(x) = 72x represents the distance traveled by the driver after x hours. To find out how far the driver is from the rest stop after 3 hours, we simply substitute x = 3 into the function:

[tex]D(3) = 72 * 3 = 216 miles[/tex]

So, the driver is 216 miles away from the rest stop after 3 hours.

b) The slope of the graph of D(x) = 72x is 72. In the context of this problem, the slope represents the rate of change of the distance with respect to time. This is essentially the speed of the driver. So, the driver is traveling at a constant speed of 72 miles per hour.


Related Questions

Mr. and Mrs. Doran have a genetic history such that the probability that a child being
born to them with a certain trait is 5/6. If they have three children, what is the
probability that exactly zero of their three children will have that trait? Round your
answer to the nearest thousandth.

Answers

Using the binomial distribution, it is found that there is a 0.056 = 5.6% probability that exactly one of their three children will have that trait.

For each children, there are only two possible outcomes, either they have the trait, or they do not. The probability of a children having the trait is independent of any other children, hence, the binomial distribution is used to solve this question.

Binomial probability distribution

[tex]P(X=\text{x})=C_{n,\text{x}}\times p^{\text{x}}\times(1-p)^{\text{n}-\text{x}}[/tex]

[tex]C_{n,\text{x}}=\dfrac{n!}{\text{x}!(n-\text{x})!}[/tex]

The parameters are:

x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.

In this problem:

5/6 probability of a children having the trait, hence [tex]p=0.83[/tex].They have three children, hence [tex]n=3[/tex]

The probability is P(X = 1), hence:

[tex]P(X=\text{x})=C_{n,\text{x}}\times p^{\text{x}}\times(1-p)^{\text{n}-\text{x}}[/tex]

[tex]P(X=1)=C_{3,1}\times(0.83)^1\times(0.15)^2=0.056[/tex]

0.056 = 5.6% probability that exactly one of their three children will have that trait.

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(5.8 x 10)+(8.2×10⁹) in standard form ​

Answers

To express the sum (5.8 x 10) + (8.2 x 10^9) in standard form, we need to align the exponents and add the coefficients. Let's do the calculations:

5.8 x 10 + 8.2 x 10^9 = 5.8 x 10^1 + 8.2 x 10^9

To add these numbers, we'll need to convert 5.8 x 10^1 to the same exponent as 10^9, which is 10^9.

5.8 x 10^1 can be written as 0.58 x 10^2 since 10^1 equals 10.

Now we can add:

0.58 x 10^2 + 8.2 x 10^9 = 8.2 x 10^9 + 0.58 x 10^2

Performing the addition:

8.2 x 10^9 + 0.58 x 10^2 = 8.200000058 x 10^9

Therefore, (5.8 x 10) + (8.2 x 10^9) in standard form is approximately 8.200000058 x 10^9.

Absolute vale of x+2 if x is less than 2

Answers

Answer: The expression for the absolute value of x+2 when x is less than 2 is -(x+2).

Step-by-step explanation: When x is less than 2, x+2 is a negative number. The absolute value of a negative number is its opposite with the negative sign, so the absolute value of x+2 is -(x+2). Therefore, when x is less than 2, the expression for the absolute value of x+2 is -(x+2).

three and one quarter minus one and five eigths​

Answers

Answer:

1 5/8

Step-by-step explanation:

3 1/4 - 1 5/8 = 3 2/8 - 1 5/8 = (2 + 1 + 2/8) - 1 5/8 = 2 + 8/8 + 2/8 - 1 5/8 =

= 2 10/8 - 1 5/8 = 1 5/8

in need of help

use the formula to find the hypotenuse of the right triangle below. Make sure you show your work. Round to the nearest tenth if needed.

Answers

The hypotenuse of the right triangle is 25

Finding the hypotenuse of the right triangle

From the question, we have the following parameters that can be used in our computation:

The right triangle

The hypotenuse of the right triangle can be calculated using the following Pythagoras theorem

h² = sum of squares of the legs

Using the above as a guide, we have the following:

h² = 15² + 20²

Evaluate

h² = 625

Take the square roots

h = 25

Hence, the hypotenuse of the right triangle is 25

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The product of two whole numbers is 50
and their sum is 15
. What are the two numbers?

Answers

let x and y represent the two whole numbers!

this system of equations represents the scenario given:
x(y) = 50
x+y=15

isolate x:
x+y=15… x=15-y

plug in 15-y for x:
(15-y)(y)=50
15y-y^2=50
y^2 - 15y + 50 = 0
(y-10)(y-5) = 0
y = 10 or 5

therefore…
x+10=15
x+5=15
x=5 or 10

the numbers are 5 and 10 :)

5. (03.01 MC)
Rewrite the expression with rational exponents as a radical expression by extending the properties of integer exponents. (1 point)

Answers

Using this property on the given expression, we get:

[tex]{(x^3/4)^2/3} = x^(3/4*2/3)[/tex] {multiplying the exponents}= [tex]x^(1/2)[/tex]

Now, we can rewrite the expression in radical form as √x which is the required answer.

The given expression to rewrite with rational exponents as a radical expression by extending the properties of integer exponents is:

[tex]{(x^3/4)^2/3}[/tex]

To rewrite this expression with rational exponents as a radical expression by extending the properties of integer exponents, the general formula of the power rule of exponents can be used, which states that [tex](a^m)^n = a^(mn)[/tex].

Now applying this power rule of exponents on the given expression:

[tex]{(x^3/4)^2/3}={x^(3/4*2/3)}={x^(1/2)}[/tex]= √x

Hence, the required expression, when rewritten with rational exponents as a radical expression by extending the properties of integer exponents, is √x.
To understand the solution, let's understand the concepts and formulas used in it.

The given expression is {(x^3/4)^2/3}. Now, to rewrite this expression with rational exponents as a radical expression by extending the properties of integer exponents, we need to use the power rule of exponents.

The power rule of exponents is an important property of the exponents that states that when we raise a power to another power, we need to multiply the exponents.

That is (a^m)^n = a^(mn).

Using this property on the given expression, we get:

[tex]{(x^3/4)^2/3} = x^(3/4*2/3)[/tex] {multiplying the exponents}= [tex]x^(1/2)[/tex]

Now, we can rewrite the expression in radical form as √x which is the required answer. Hence, the given expression rewritten with rational exponents as a radical expression by extending the properties of integer exponents is √x.

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The following cost estimates were provided for your project: Cost of soil: $80.00 per cubic yard Cost of sand: $100.00 per cubic yard Cost of Sod: $100.00 per roll that is 3’ by 30’ Tree and shrubbery installation: $2500.00 You are at the final phase of your project and are doing final grading and landscaping. The estimates are 8 cubic yards of soil, 3 cubic yards of sand, 3600 square feet of sod, and tree/shrubbery installation. Including a 3 percent contingency, what is the estimated total cost?

Answers

The estimated total cost of the project is $7,663.20.

What is the estimated total cost?

We need to add up the costs of soil, sand, sod, and tree/shrubbery installation, including the contingency.

Soil: 8 cubic yards x $80/cubic yard = $640

Sand: 3 cubic yards x $100/cubic yard = $300

Sod: 3600 square feet / 30 square feet/roll x $100/roll = $1200

Tree and shrubbery installation: $2500

Contingency: 3% x $4640 = $139.20

Total cost: $640 + $300 + $1200 + $2500 + $139.20 = $7,663.20

Therefore, The estimated total cost of the project is $7,663.20

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A side of the triangle below has been extended to form an exterior angle of 76°. Find the value of x.

Answers

To solve this problem, we can use the fact that the exterior angle of a triangle is equal to the sum of the two opposite interior angles. Let's call the unknown interior angle opposite to the given exterior angle "a". Then, we have:

a + 76° + 90° = 180°

Simplifying and solving for "a", we get:

a = 14°

Now, we can use the fact that the angles in a triangle add up to 180° to find the value of "x". We have:

x + 90° + a = 180°

Substituting the value of "a" that we found earlier, we get:

x + 90° + 14° = 180°

Simplifying and solving for "x", we get:

x = 76°

Therefore, the value of x is 76°.

In the space provided below,

1) Write an example of a closed declarative statement.
2) Write an example of an open declarative statement.

Answers

Declarative sentences are those which state a fact, describe something, or make a statement. A declarative sentence is a simple statement that gives some information. It ends with a period and always has a subject and a predicate.

1. Example of a closed declarative statement: A closed declarative sentence is one that has only one answer and cannot be disputed.

An example of a closed declarative statement would be: The capital of France is Paris. This is a closed declarative statement because there is no other city that is the capital of France other than Paris.

2. Example of an open declarative statement: An open declarative sentence is one that may have many possible answers and may be disputed.

An example of an open declarative statement would be: The best pizza topping is pepperoni. This is an open declarative statement because some people may disagree and have their own preferences about pizza toppings.

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From the diagram below: pls help ​

Answers

The correct option is C, ON is the normal to the surface.

What is the segment ON?

Remember that when we have an incident ray on a surface, a reflected ray will be emmited such that the angle with respect to the normal is the same one for the incident ray.

For any plane surface, this normal is perpendicular to the surface.

Here, we can see that ON is normal to the sruface of reflection, thus, the correct option is C, segment ON is the normal.

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I NEED HELP FAST!!!!!!!

Answers

Answer: answer is C

Step-by-step explanation: If you take the value of greeting cards and divide by the amount of greeting cards you will get the rate per greeting card.

Web de
-lane
GRAPHS OF TRIGONOMETRIC FUNCTIONS
6. Consider these two functions:
F(x)-2 cos(x)
G(x)-(2x)
Part I: What are the amplitudes of the two functions? (2 points)
what are the periods of the two functions? (2 points)
Part III: Draw sketches of at least two periods of the two graphs, labeling each of the graphs. You may
have to approximate the critical points of one of the graphs. (8 points)

Answers

Answer:

Part I:

The amplitude of the function F(x) is 2, since the coefficient of the cosine function is 2.

The amplitude of the function G(x) is not defined since it does not contain any trigonometric functions.

The period of the function F(x) is 2π since the period of the cosine function is 2π.

The period of the function G(x) is π since the function is a linear function with slope 2.

Part III:

To sketch the graph of F(x), we can start by plotting the maximum and minimum values of the cosine function, which are 2 and -2, respectively. Then, we can shift the graph downward by 2 units to obtain the graph of F(x). The resulting graph should look like a cosine graph with amplitude 2, but shifted downward by 2 units. We can repeat this pattern for one period of the function, which is 2π, to obtain the following sketch:

| /\

2 | / \

| / \

| / \

| / \

| / \

_____|_________________________

| 0 π 2π

To sketch the graph of G(x), we can start by plotting the y-intercept, which is 0. Then, we can use the slope of 2 to plot additional points on the graph. Since the period of G(x) is π, we can plot two periods by plotting points at x=0, π/2, π, 3π/2, and 2π. The resulting graph should look like a straight line with slope 2. Here is a sketch of the graph:

|

|

|

4 | /

| /

| /

|/________________________

| 0 π 2π

Note that the critical point of G(x) is at x=0, where the slope changes from positive to negative.

in general, the y intercept of the function F(x) = (a) (b^x) is the point _____.

Answers

Answer:

(0,a)

Step-by-step explanation:

The y-intercept of a function is the point where the graph of the function intersects the y-axis.

To find the y-intercept of the function F(x) = (a)(b^x), we can substitute x = 0 into the equation and solve for F(0).

When x = 0, we have:

=> F(0) = (a)(b^0)

=>  F(0) = (a)(1)

=> F(0) = a

Therefore, the y-intercept of the function F(x) = a * b^x is the point (0, a).

Use the equation of the line to identify a point the line passes through and the slope of the line. Then, graph the line.

y+3=3/2(x+4)

Answers

A point on the line is (0, 3).

Given equation of the line:y + 3 = 3/2 (x + 4)

It can be rewritten in slope-intercept form as: y = 3/2x + 6 - 3

Slope of the line can be determined by comparing with y = mx + b, where m is the slope and b is the y-intercept.

Therefore, comparing given equation with y = mx + b, we get Slope (m) = 3/2

To find a point on the line, we can substitute any arbitrary value of x or y and solve for the other variable.

Let's take x = 0:y + 3 = 3/2 (0 + 4)y + 3 = 6y = 3

Therefore, a point on the line is (0, 3).

Now, to graph the line, we need to plot this point and use the slope to find other points. We know that slope is rise over run, which means for every increase of 2 units in x, there is an increase of 3 units in y.

So, we can use this to find other points as follows:Starting from (0, 3), move 2 units to the right and 3 units up to get another point, say (2, 6).Then, move 2 units to the left and 3 units down to get another point, say (-2, 0).

Join all the points on the graph to get the line.

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Mitch is buying candy bars for his friends.
He wants to give 2 bars to each friend, and he wants to have 10 spare bars. He can afford to buy 20 candy bars.

Answers

Its the second one.

2f+10=20

HELP PLSSS!!!!!!!!!!!!!

Answers

Answer:

84

Step-by-step explanation:

A= [tex]\frac{1}{2}[/tex]b*h

A= [tex]\frac{1}{2}[/tex]14*12

A=84

Jack's father has recorded the amount of time his son has played video games for the last 7 days. The corresponding scatterplot is shown below. Using the best-fit line, which of the following predictions is TRUE? a.) Jack devoted 38 minutes to playing video games after 1 day. b.) Jack devoted 50 minutes to playing video games after 6 days. c.) Jack devoted 64 minutes to playing video games after 8 days. d.) Jack devoted 41 minutes to playing video games after 2 days.

Answers

Based on the best-fit line, the prediction that is TRUE is option d.) Jack devoted 41 minutes to playing video games after 2 days.

1. Look at the scatterplot and identify the best-fit line, which represents the trend or pattern in the data points.

2. Locate the point on the x-axis corresponding to 2 days.

3. Follow the vertical line from that point until it intersects with the best-fit line.

4. From that intersection, move horizontally to the y-axis to find the predicted value for the amount of time Jack devoted to playing video games after 2 days.

5. Based on the best-fit line, the predicted value is approximately 41 minutes.

6. Compare the predicted value with the given options.

7. Among the options, option d.) states that Jack devoted 41 minutes to playing video games after 2 days, which matches the prediction from the best-fit line.

8. Therefore, the TRUE prediction is option d.) Jack devoted 41 minutes to playing video games after 2 days.

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Answer:

Step-by-step explanation:

The line of best fit can be used to get predictions. So if we look at a particular day, we can get a predicted time based on the corresponding value on the best-fit line. If we look at Day 8, then the predicted time looks to be about 64 minutes.

Find the value of 9u-9 given that 2u-5=3 plsss help

Answers

Answer:

27

Step-by-step explanation:

[tex]2u-5=3\\2u=8\\u=4\\\\9u-9=9(4)-9=36-9=27[/tex]

Enter the number that belongs in the green box 9 103 6

Answers

9

This seems to be an isosceles triangle, which means that 2 sides are equal. In this case, that would be 9.

Evaluate the following improper integral. If the integral diverges, enter "DIV".
[₁
IH
Te dx=

Answers

The calculated value of the integral [tex]\int\limits^{\infty}_1 {(xe^{-x}) \, dx[/tex] is 0.7358

How to evaluate the integral

From the question, we have the following parameters that can be used in our computation:

[tex]\int\limits^{\infty}_1 {(xe^{-x}) \, dx[/tex]

The above expression can be integrated using integration by parts method

When integrated, we have

[tex]\int\limits^{\infty}_1 {(xe^{-x}) \, dx = -\left(x+1\right)\mathrm{e}^{-x}[/tex]

Recall that the x values are from 1 to ∝

This means that

[tex]\int\limits^{\infty}_1 {(xe^{-x}) \, dx = -\left(\infty +1\right)\mathrm{e}^{-\infty} + \left(1+1\right)\mathrm{e}^{-1}[/tex]

So, we have

[tex]\int\limits^{\infty}_1 {(xe^{-x}) \, dx = 0 + \frac{2}{e}[/tex]

Solving further, we get

[tex]\int\limits^{\infty}_1 {(xe^{-x}) \, dx = 0 + 0.7358[/tex]

Evaluate

[tex]\int\limits^{\infty}_1 {(xe^{-x}) \, dx = 0.7358[/tex]

Hence, the value of the integral is 0.7358

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the shortest side of a right triangle measures 7m. The lengths of the other two sides are Consecutive integers. What is the length of the other two sides?

Answers

The lengths of the other two sides of the right triangle are 24m and 25m, respectively.

Let's assume the consecutive integers representing the lengths of the other two sides of the right triangle are x and x + 1, where x is the smaller integer. We are given that the shortest side measures 7m. Now, we can use the Pythagorean theorem to solve for the lengths of the other two sides.

According to the Pythagorean theorem, in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.

Using this theorem, we have the equation:

[tex]7^2 + x^2 = (x + 1)^2[/tex]

Expanding and simplifying this equation, we get:

[tex]49 + x^2 = x^2 + 2x + 1[/tex]

Now, we can cancel out [tex]x^2[/tex] from both sides of the equation:

49 = 2x + 1

Next, we can isolate 2x:

2x = 49 - 1

2x = 48

Dividing both sides by 2, we find:

x = 24

Therefore, the smaller integer representing the length of one side is 24, and the consecutive integer representing the length of the other side is 24 + 1 = 25.

Hence, the lengths of the other two sides of the right triangle are 24m and 25m, respectively.

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of 25
Does this table represent a function? Why or why not?
X
2
4
6
8
10
y
1
3
4
6
A. Yes, because every x-value corresponds to exactly one y-value.
OB. No, because one x-value corresponds to two different y-values.
OC. Yes, because all of the x-values correspond to one or more
y-values.
OD. No, because two of the y-values are the same.

Answers

The statement "Yes, because every x-value corresponds to exactly one y-value" (A) is correct.

The given table represents a function. A function is a relationship where each input (x-value) is associated with exactly one output (y-value).

Looking at the table:

X | Y

2 | 1

4 | 3

6 | 4

8 | 6

10 | -

We can see that each x-value in the table corresponds to a unique y-value. There is no repetition or duplication of x-values, and each x-value has only one corresponding y-value.

Therefore, the statement "Yes, because every x-value corresponds to exactly one y-value" (A) is correct.

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If a/25 = 5b, what is the value of b when a=1

Answers

1/25= 0.04
=5b
0.04/5= 0.008
b=0.008

In the diagram below, which distance represents the distance from point Qto RS?​

Answers

The distance that represents the distance from point Q to RS is: QT.

How to find the line distance?

The distance between a point and a line, is usually defined as the shortest distance that exists between a fixed point and any point on the line. It is the length of the line segment that is perpendicular to the line and passes through the point.

In the given figure attached, we can see that among the lines drawn from point Q to line RS ,the line QT is perpendicular to RS and as such, it means that is represents the distance between the point and the line.

Therefore, we conclude that the distance that represents the distance from point Q to RS is: QT.

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The difference of two numbers is 30. If the smaller number is two-third of the larger one, find the numbers​

Answers

The difference of two numbers is 30. If the smaller number is two-third of the larger one, The smaller number is 60 and the larger number is 90.

Let's assume the smaller number is x and the larger number is y.

Two conditions exist given the information provided:

Between the two numbers, there is a 30 point difference:

y - x = 30

The smaller number is two-thirds of the larger number:

x = (2/3) * y

To find the values of x and y, we can solve this system of equations.

From equation 2, we can express y in terms of x:

y = (3/2) * x

Substituting this value of y in equation 1:

(3/2) * x - x = 30

(3/2 - 1) * x = 30

(1/2) * x = 30

x = (30 * 2) / 1

x = 60

Now, substituting the value of x in equation 2 to find y:

y = (3/2) * 60

y = 90

As a result, 60 is the smaller number while 90 is the larger number.

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What the degree of the polynomial!
2x^2y-8xy^3+5xy

Answers

The degree of the given polynomial is 4.The given polynomial is 2x²y - 8xy³ + 5xy. Let us count the number of terms in this polynomial. We have 3 terms.Let us now calculate the degree of each of these terms.

The degree of the first term is (2 + 1) = 3, as there are two variables x and y, and both are raised to the power 2 and 1 respectively.The degree of the second term is (1 + 3) = 4, as there are two variables x and y, and x is raised to the power 1 and y to the power 3.

The degree of the third term is (1 + 1) = 2, as there are two variables x and y, and both are raised to the power 1 each. So the degree of this polynomial will be the highest degree among these 3 terms.

The highest degree is 4. Therefore, the degree of the given polynomial is 4.

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Si tengo dos papas y un kilo de arroz y me sale 500 pesos.
¿Cuánto valen dos kilos de arroz?

Answers

Dos kilos de arroz tiene un precio total de 533.332 pesos.

¿Cómo determinar el precio unitario de dos kilos de arroz?

En este problema debemos determinar el precio total de dos kilos de arroz. Inicialmente, nosotros debemos construir el sistema de ecuaciones lineales correspondiente:

2 · x + y = 500

3 · x = 350

Donde:

x - Precio unitario de la papa.y - Precio unitario del arroz.

Ahora determinamos los precios unitarios:

x = 350 / 3

x = 116.667

y = 500 - 2 · x

y = 500 - 2 · 116.667

y = 266.666

Finalmente, calculamos el precio total de los dos kilos de arroz:

C = 2 · 266.666

C = 533.332

Observación

El enunciado está incompleto. La forma completa es la siguiente:

Si tengo dos papas y un kilo de arroz y me sale 500 pesos. Y si compro tres papas con 350 pesos. ¿Cuánto valen dos kilos de arroz?

Asimismo, el enunciado y la respuesta están escritos en español.

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Geometry
Show work and if you’re a slow kid then don’t answer

Answers

Answer:

x = 26

Step-by-step explanation:

Since s║t and r is a transversal, consecutive interior angles add to 180

⇒ 2(x + 15) + (3x + 20) = 180

⇒ 2x + 30 + 3x + 20 = 180

⇒ 5x + 50 = 180

⇒ 5x = 180 - 50

⇒ 5x = 130

⇒ x = 130/5

⇒ x = 26

Answer:

x=26

Step-by-step explanation:

Given:

s || t

2(x+15) + (3x+20) = 180°

Since the sum of co interior angle is 180°

Opening bracket

2x + 30 + 3x + 20 =180

Solving like terms

5x+50= 180

subtracting both side by 50

5x=180-50

5x = 130

dividing both side by 5.

[tex]\tt x=\frac{130}{5}[/tex]

x = 26

Therefore value of x is 26.

which value of x makes this inequality true? x+9<4x

Answers

Answer:

Step-by-step explanation:

x+9

Let x, be 4

4+9=13

given condition,

x+9<4x

4+9<4(4)

13<16

The answer is:

x > 3

Work/explanation:

Our inequality is:

[tex]\sf{x+9 < 4x}[/tex]

Flip it

[tex]\sf{4x > x+9}[/tex]

Solve

[tex]\sf{4x-x > 9}[/tex]

Combine like terms

[tex]\sf{3x > 9}[/tex]

Divide each side by 3

[tex]\sf{x > 3}[/tex]

Hence, x > 3
Other Questions
The autoionization of pure water, as represented by the equation below, is known to be endothermic ( H>0). Which of the following correctly states what occurs as the temperature of pure water is raised? H 2 O(I)+H 2 O(I)H 3O + (aq)+OH (aq) 1H>0 a. Kw decreases, and the hydronium ion concentration decreases. b. Kw decreases, and the hydronium ion concentration increases. c. K w and the hydronium ion concentration do not change. d. Kw increases, and the hydronium ion concentration decreases. e. Kw increases, and the hydronium ion concentration increases. Which of the following statements are relevant for explaining cloud formation? Select one or more: a. Air temperature drops with altitude b. Cold air can hold less water in gaseous form than warm air c. Dry air holds less water than moist air \d. If the air temperature drops below the dew point, some of the gaseous water will turn into liquid water During finals week, students arrive randomly at the help desk of the computer lab. There is only one technician due to budget cuts, and the time required to provide service varies from student to student. The average arrival rate is 15 students per hour, and the average service rate is 20 students per hour. Assuming standard waiting line distribution parameters hold, what is the average number of students in the line? " Use Multiple servers, Ave. #in Line' table 20 students 225 students 5 students 15 students compound: prednisone(a) If all the hydrogen (1H) atoms in your compound are replaced with radioactive tritium (3H) atoms, state which particle/particles are emitted during the decay process. Write an equation for the radioactive decay of tritium.(b) Given the half-life of 3H = 12.3 yr, how long will it be before there is 25% of the initial radioactive compound remaining? What is thepHof a0.025Msolution ofHSCN(Ka=4.0106)? a.1.60b.3.50c.4.21d.5.39e.7.00 Find an equation of the plane. the plane through the point (6, 3, 6) and perpendicular to the vector -i + 3j + 4k Ron Graham is a prolific author of mathematical papers. His friend, Don Knuth, reads all of Ron's papers and realizes that, on average, there are 4 typos for every 100 page of writing. (a) (5 pts) Ron writes a new paper, that is 20 pages long. Don, before reading the actual paper, would like to anticipate the probability that the first half of the paper has no typos, using an exponential random variable. Which exponential r.v. would Don use? What is the probability Don calculates? Identify ways in which human resources advocates for the employees and leadership team as a neutral third party. Provide an employee and a leadership example. 50 POINTS PLEASE QUICK Drag each tile to the correct locationCategorize each term as something that is typical of a scientific theory, a scientific hypothesis, or bothcan be tested bymany independentresearchersbased onobservations ofnatural phenomenamakes predictionsabout futureeventa tentativestatement used toguide scientificinvestigationsa well-established,highly reliableexplanation A country is controlled by a king who has absolute power over the government. He is allowed to make any law he wants, even if it interferes with citizens' personal freedom. Which of the following philosophers would be most likely to support this form of government? An author can employ emotion-packed wordswhen they're trying to use the reader's emotions and reactions to persuade them to believe a certain message?A. toneB. point of viewC. purposeD.emotional-packed words 87 87 suppose that ai = -12 and b; = -1. Compute the sum. i=1 i=1 87 (19a. i=1 18b;) Which of the following is the product of the addition of excessF2 to acetylene?Group of answer choices1,2-difluoroethaneEthylene1,1,2,2-tetrafluoroethaneEthane1,1-difluoroethylene you are delinquent on one of your credit cards. you have agreed with the bank to make payments of $120 per month starting the end of this month. the interest rate on the balance is 1% per month. if you owe $9,721.83, how long will it take for the account to be paid off? The product is a normal product. Refer to the graph above to answer this question. What does the distance Ql to Q2 represent? Select one: A. The result of a decrease in income. B. An increase in the quantity demanded. C. A shortage at price Pl. D. A surplus at price Pl. Enormous changes in modern Turkey and Iran were brought about by Mustafa Kemal Ataturk and Ayatollah Khomeini. Explain how [a] Ataturk and Khomeini changed government and the legal system in Turkey and Iran Find all the minors of the elements in the matrix.M11 =203489120 M12=M13=M21=M22=M23=M31=M32=M33=Find all the cofactors of the elements in the matrix.A11=A12=A13=A21=A22=A23=A31=A32=A33= 1-What is the probability of randomly selecting a New service?New serviceOld serviceTotalsStudent122234Professor171027Totals2932612-Calculate the median for products sold per store using this data.0, 77, 38, -5, 44, 62 The second and the third 15 cm number of blows in an SPT required for penetration is taken as O a. Seating drive O b. Penetration resistance O c. both seating drive and penetration resistance O d.overburden pressure Clear my choice Selected company is Apple inc.Please give answer as detailed as possible.You have already selected a company in Canada for the previous assignments. The Senior Management Team has assigned you to prepare a presentation about the process of certification to ISO 9001:2015. You should build a plan and write a report for implementation. Plan should be included in 3 important points below. You should update and improve Assignment 1-2 by giving more details to meet the requirements of each clause of ISO 9001:2015. 1. Evaluate context of an organizations, management processes, leadership, planning. 2. Identify how to evaluate process performance based on customer satisfaction reporting and metrics, KPIs (Key Performance Indicator), and share examples regarding the process performance evaluation for your organization. 3. Ascertain continual improvement projects impact to drive efficiency and cost reduction. You should focus on to work on Points 1&2 for this project, Project 1. The last point, 3rd is a topic for Project 2. Your report and presentation should inform the reader about the organisation, the points identified above and draw conclusions. You should read in the reference resource below when you are planning the steps for meeting Clause 4. 5, 6, 7, 8 and 9 requirements. You should plan to meet each requirement for each clause based on the reference resource and ISO 9001:2015. For example, Clause 4 is the context of an organization. You should follow the steps below to meet Clause 4 requirements. (You should update and improve by combining the Assignment 1&2) 1. Define the Scope of the QMS in Quality Manual. 2. Develop the sequence of processes and their interaction in your organization. These will be in the form of a flowchart. 3. Define the Process and their relationships. 4. Identify internal and external context. (For example; for internal issues is used SWOT Analysis to identify an internal issue etc.) 5. Identifying internal and external parties and their needs. 6. Document framework the context of the organization. You must clearly define what they sell including products and services. Your report will be graded based on your report on reasoned arguments, by identifying, planning. analysing, evaluating criteria, research, own practices, and other methods. Share your work in a detailed report. There is no page limit. (Reference to the resources: Step by Step guide on how to interpret each clause (It has been posted as a PDF format in Moodle, Week 4 & ISO 9001:2015)the apple inc. has ISO 9001:2015 certificate.please provide answer regarding it.