Ryan estimates the measurement of the volume of a popcorn container to be 98 cubic inches. The actual volume of the popcorn container is 86 cubic inches. What is the percent error of Ryan's measurement to the nearest thousandth?

The blanks when completes are:

The value of 6x - x² increases from 0 at x = 0 to 9 at x = 3, then decrease back at x = 6. Also, the values are 0 for x = 0...

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

The table of values

From the table of values, we can see that

This means that the values that complete the blanks are increase, decrease and 0

Read more about function at

https://brainly.com/question/28277110

#SPJ1

The concentration οf hydrοgen ions in a sοlution with pH 2.44 is [tex]2.754\times 10-12 M[/tex]

The pH value is a measure οf the acidity or basicity of a solution. It is defined as the negative lοgarithm (base 10) of the concentration of hydrogen ions (H+) in moles per liter (mol/L) of solutiοn. The pH scale ranges from 0 to 14, where a pH of 7 is considered neutral. Solutions with a pH less than 7 are acidic, while solutiοns with a pH greater than 7 are basic οr alkaline.

a) Given pH = 2.44

We knοw  pH + pOH = 14,

pOH = 14 - 2.44 = 11.56

[tex][H+] = 10^{-pH} = 10^{-2.44} = 3.63\times 10 ^{-3} M[/tex]

[tex][OH-] = 10-pOH = 10-11.56 = 2.754\times 10-12 M[/tex]

b) Given ,pOH = 10.85

and it is knοwn that pH + pOH = 14, thus pH = 14 - 10.85= 3.15

[tex][H+] = 10^{-pH} = 10^{-3.15} = 7.07\times10^{-4 M}[/tex]

[tex][OH-] = 10^{-pOH} = 10^{-10.85} = 1.41\times10^{-11} M[/tex]

c) Given pH = -0.65

and it is knοwn that pH + pOH = 14, thus pOH = 14 +0.65 = 14.65

[tex][H+] = 10^{-pH} = 10^{0.65} = 4.466 M[/tex]

[tex][OH-] = 10^{-pOH} = 10^{-14.65} = 2.23 \times10^{15} M[/tex]

To learn mοre about the pH value, visit:

https://brainly.com/question/19584961

#SPJ1

Complete question:

Calculate the [H+] and [OH-] concentrations for the fοllowing solutions with: (a) pH = 2.44 (b) pOH = 10.85 (c) pH = -0.65

Answer:

alot

Step-by-step explanation:

Answer:

One solution, x = -10

Step-by-step explanation:

16 (3x − 6) = 18 (4x + 8)

48x - 96 = 72x + 144

-24x = 240

x = - 10

The total cost to paint the room is, $102.375.

We know the perimeter of any 2D figure is the sum of the lengths of all the sides except the circle and the area of a rectangle is the product of its length and width.

Given, A room that is 18 feet long, 14 feet wide, and 8 feet high.

Therefore, The surface area of the room is,

= 18×14×8 aq feet.

= 2016 sq feet.

Now, Paint costs $6.50 a gallon and each gallon covers 128 square feet.

Therefore, The number of gallons of paint required is,

= (2016/128) gallons.

= 15.75 gallons.

So, The total cost of painting is,

= $15.75×6.50.

= $102.375.

learn more about rectangles here :

https://brainly.com/question/29123947

#SPJ9

Answer: 24

Step-by-step explanation: 6*4=24
i did 6*4 because there are 4 fourths in each pound

The two numbers that multiply to 375 and add to -10 are -25 and 15.

To find two numbers that multiply to 375 but add to -10, we can use a system of equations.

Let's call the two numbers we're looking for x and y. Then we have:

xy = 375 (since they multiply to 375)

x + y = -10 (since they add to -10)

We can use the second equation to solve for one variable in terms of the other. For example, if we solve for y, we get:

y = -x - 10

Now we can substitute this expression for y into the first equation:

x(-x - 10) = 375

Expanding the left side gives:

-x^2 - 10x = 375

Bringing everything to one side gives:

x^2 + 10x - 375 = 0

We can factor this quadratic equation as:

(x + 25)(x - 15) = 0

This gives us two possible values for x: x = -25 or x = 15.

If x = -25, then y = -10 - (-25) = 15.

If x = 15, then y = -10 - 15 = -25.

So, The two numbers that multiply to 375 and add to -10 are -25 and 15.

Learn more about multiply here : brainly.com/question/28773316

#SPJ1

Answer:

  x = -1 (multiplicity 2)

Step-by-step explanation:

Given the cubic f(x) = x³ -x² -5x -3 has x=3 as a root, you want the other roots.

You can find the quadratic factor of the polynomial using synthetic division. That tells you ...

  f(x) = (x -3)(x² +2x +1)

You recognize the quadratic factor as the perfect square trinomial ...

  x² +2x +1 = (x +1)²

The remaining roots will be the values of x that make these factors zero:

  x +1 = 0   ⇒   x = -1 . . . . . and the other is the same: multiplicity 2

The remaining roots are x=-1 and x=-1.

__

Additional comment

We find a graphing calculator to be a quick and easy way to find the real roots of higher-degree polynomials. They are shown in the second attachment.

Answer:

96 because 60 plus 36 equals 96 and value means add but if your multiplying the answer would be 2160

Step-by-step explanation:

The true statement is the median age of the attendees in the yoga class is greater than the median age of the attendees in the dance class. (option A).

Median is the number that occurs in the middle of a set of numbers that are arranged either in ascending or descending order.

Ages of Yoga students arranged in ascending order: 18, 17, 20, 31, 33, 36, 44

Median = 31

Ages of Dance students arranged in ascending order: 20, 23, 26, 30, 38, 42, 47

Median = 30

To learn more about median, please check: https://brainly.com/question/14746682

#SPJ1

The eighth term of 4000, 800, 160, 32... will be 0.0512.

What is geometric progression?

A geometric progression is also known as the geometric sequence which is a sequence of numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio.

We are given, 4000, 800, 160, 32, ....

a is the first term = 4000

The terms are in reducing order of 1/5 at each stage.

So, 5th term = 32/5 = 6.4

6th term =   6.4/5 = 1.28

7th term =  1.28/5 = 0.256

And 8th term = 0.256/5 = 0.0512

Learn more about geometric progression on:

https://brainly.com/question/4853032

#SPJ1

The required solutions of the equation |3x| = 9 are x = 3 and x = -3.

Simplification involves applying rules of arithmetic and algebra to remove unnecessary terms, factors, or operations from an expression. The goal is to obtain an expression that is easier to work with, manipulate, or solve.

Here,

We can solve the given equation by isolating the absolute value on one side and simplifying it.

|3x| = 9
| x | = 3

Now, we need to solve two separate equations for x:

When x is positive:
|x| = 3
=> x = 3 (since x is positive)

When x is negative:
|x| = 3
-x = 3 (since x is negative)
x = -3

Therefore, the solutions of the equation |3x| = 9 are x = 3 and x = -3.

Learn more about simplification here:

https://brainly.com/question/12501526

#SPJ1

The function has domain = {2, , 5, - 4, - 5} and rangle = {1, 4, 5, 3, - 6} and it is not a function.

Suppose we have an ordered pair (x, y) then the domain of the function is the set of values of x and the range is the set of values of y for which x  is defined.

From the given coordinate plots the ordered pairs are,

(2, 1), (2, 4), (5, 5), (- 4, 3), and (- 5, - 6).

We know a relation is not a function when two distinct ordered pairs have the same x-coordinate.

In this case (2, 1) and (2, 4) have the same x-coordinate and hence it is not a function.

learn more about functions here :

https://brainly.com/question/16634867

#SPJ1

Answer:

the radius is 1

Step-by-step explanation:

The set {A, B, C} is a subset of the set of letters of the alphabet.

A subset is a set that contains only elements that are also in another set, called the superset. In other words, all of the elements in the subset are also contained in the superset.

For example, suppose we have a superset S = {1, 2, 3, 4, 5}. Then, the following sets are subsets of S:

{1, 2, 3}, {2, 4, 5}, {1}, and {} etc.

Here we have

{A, B, C} a subset  

As we know, the set of the alphabet = { A, B, C, D,...  Z }  

which also includes the elements A, B, and C

Hence,

The set {A, B, C} is a subset of the set of letters of the alphabet.

Learn more about Sub-sets at

https://brainly.com/question/28666324

#SPJ1

The value of the indicated function instances as required to be determined are as follows;

It follows from the task content that a graph is given and the indicated values are to be determined.

By observation of the graph; it follows that;

On this note, f (π) = -3.

f (π/2) = 0.

f ( -3π/2 ) = 0.

The values above are as obtained from the graph.

Ultimately, the value of the indicated function instances are as evaluated from the graph above.

Read more on function graphs;

https://brainly.com/question/17089414

#SPJ1

The total area of the rectangle with the provided figures will be equal to 280 inches.

Note that the area of a rectangle is length * width.

So, given this formula:

The  area of the smallest rectangle will be: 4 * 7 = 28

The area of the next rectangle will be: (4 + 2) * (7 + 2)

= 6 * 9

= 54

The area of the next rectangle will be: (6 + 2) * (9 + 2)

= 8 * 11

= 88

The area of the fourth and largest rectangle will be: (8 + 2) * (11 + 2)

10 * 11

= 110

The total area of the angles will be: 28 + 54 + 88 + 110

= 280.

Learn more about the area of a rectangle here:

https://brainly.com/question/2607596

#SPJ1

Because of the common difference of 5, this series is math because it has a common difference of 5.

An arithmetic series is one in which each term grows by adding or removing a certain number, k. In a geometric series, each term grows by dividing by or increasing by a certain constant k. For instance, a1 = 25 and a(n) Equals a(n-1) Plus 5.

This is a list of numbers.

Each term in an arithmetic series is created by adding a fixed difference to the term before it. The distance between successive words in this order is 5:

10 - 5 = 5

15 - 10 = 5

20 - 15 = 5

25 - 20 = 5

Therefore, this sequence has a common difference of 5, which means it is an arithmetic sequence.

To know more about Arithmetic sequence visit:

https://brainly.com/question/6561461

#SPJ1

a) The family's best deal is with Smokey's BBG which charges $780 for 60 guests.

b) Choosing Smokey's BBG over Bennie's BBQ will save (difference) the family $40.

The total cost for each company's catering services is worked out using their cost functions.

Smokey's BBG does not charge a fixed cost, unlike Bennie's BBG.

The difference between the total costs of the companies is obtained by subtraction.

The number of guests = 60

                                  Smokey's BBQ       Bennie's BBQ

Catering Fees                       $0                        $100

Charge per person              $13                          $12

The total charge for 60    $780 ($13 x 60)     $820 ($100 + $12 x 60)

Difference between the charges = $40 ($820 - $780)

However, using a system of equations we can determine the number of guests that makes the total cost the same for each company as 100.

Thus, comparing the total costs for the two companies shows the difference or cost savings to be gained by the family.

Learn more about the difference at https://brainly.com/question/25433540.

#SPJ1

Smokey's BBQ charges $13 per person while Bennie's BBG charges a $100 catering fee and $12 per person.

Answer:

-1/2

Step-by-step explanation:

We know

The dilation of K(-2,4) equals K'(1,-2)

To get from -2 to 1, we time -1/2

To get from 4 to -2, we time -1/2

So, the scale factor used for the dilation is -1/2

Answer:

the frequency of someone interru

Step-by-step explanation:

The correct answer is (d) noise. Unwanted sound that is regarded loud, unpleasant, or disruptive to hearing is called noise.

Even if the label "unwanted" is arbitrary, some sounds are frequently regarded as noise. A sound pressure level, expressed in decibels, is used to measure or anticipate noise (dB).

here, we have,

The measurements and noise meter used depend on the application; different noise metrics can account for magnitude, frequency, and time in different ways.

and, we have,

Another illustration is workplace noise, where the effect of noise on hearing loss is of utmost importance.

To offer a degree of exposure that can be associated to the possibility of hearing loss in employees exposed to the sound during the course of exposure, both the intensity and duration of sound are combined.

Hence, The correct answer is (d) noise. Unwanted sound that is regarded loud, unpleasant, or disruptive to hearing is called noise.

To know more about noise, visit:-

brainly.com/question/21988943

#SPJ2

Complete question:

ivan is trying to understand the concern of an angry customer, but several employees keep interrupting the conversion. these interruptions are an example of

The expression that is equivalent to 2(9x+6)/3-(8x-4)/2 is 8x, the correct option is T.

Expression in mathematics is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

We are given that;

The function=2(9x+6)/3-(8x-4)/2.

Now,

First, let's simplify the expression given:

2(9x+6)/3 - (8x-4)/2 = (18x + 12)/3 - (4x - 2) = 6x + 4 - 2x + 1 = 4x + 5

Now let's check which of the given expressions are equivalent to 4x + 5:

M. 2(x + 1) = 2x + 2 (not equivalent)

R. 2x+6 (not equivalent)

R. 2x + 2 (not equivalent)

S. 2(x + 3) = 2x + 6 (not equivalent)

T. 8x = 8x - 40 + 45 = 4x + 5 (equivalent)

Therefore, the answer of the given expression will be 8x.

To know more about an expression follow;

brainly.com/question/19876186

#SPJ1

The surface area of all faces of the cube is found as in  150,100 mm².

A solid shape having six square faces is called a cube. Because every square face has an identical side length, each face is the same size.

Area of the cube:

Area = 6*side²

Area = 6*(5)²

Area = 150 cm²

We know:

1 cm = 10 mm

Then,

Area = 150 x 100 mm²

Area = 150,100 mm²

Know more about the cube

https://brainly.com/question/410493

#SPJ9

The complete question is-

The cube has the side length of 5 cm. How to determine the area of all faces in mm2

Answer:40

140/7=20

20x2=40

40 is the same as two-sevenths of 140

Answer:

33 27 plus 6 = 33

Step-by-step explanation:

we will need at least 96 bags of sand to cover the base of the circular pool.

what is circle?

A circle is a two-dimensional geometric shape consisting of all the points that are equidistant from a given point, called the center.

The area of a circular pool with a diameter of 22 feet can be calculated using the formula:

A = πr^2

where A is the area of the circle, π is a constant (approximately equal to 3.14), and r is the radius of the circle (which is half the diameter).

In this case, the diameter is 22 feet, so the radius is:

r = d/2 = 22/2 = 11 feet

Now we can calculate the area of the circle:

A = πr^2 = 3.14 x 11^2 = 379.94 square feet (rounded to 2 decimal places)

To cover this area with sand, we need to know how many bags of sand are required. We are told that one bag of sand covers about 4 square feet, so we can calculate the number of bags of sand required as follows:

Number of bags = Area of pool / Area covered by one bag

Number of bags = 379.94 square feet / 4 square feet per bag

Number of bags ≈ 95 bags

Since we need to round up to a whole number of bags, we will need at least 96 bags of sand to cover the base of the circular pool.

To learn more about circle from given link

https://brainly.com/question/29142813

#SPJ1

Answer: The correct answer is yes, he brought enough money to get into the park.

Step-by-step explanation:

Well, let's analyze the information provided:

Admission to the amusement park for 8 students is $ 100. If each student agreed to share of cost equally, it means that we must divide those 100, for each of those students.

Therefore it will remain 100/8 = 12.5

If each student must pay 12.5, and Noah brought $ 13, that means he will have enough money to enter the park, and he will even have $ 0.50 left over.

Answer:

Shirt = $20
Sweater = 30

Step-by-step explanation:

3sh + 2sw = 120

2sh + 4sw = 160

Multiply (3sh + 2sw = 120) by -2
-6sh + -4sw = -240  -> -6sh -4sw = -240
Add the two equations -6sh -4sw = -240 and 2sh + 4sw = 160 together. -4sh = -80
Shirt = 20
Substitude in 20
3 x 20 = 60 120 - 60 = 60 60/2=30

Answer: 113.56235 Liters

Step-by-step explanation:

We can write the expression for {P} as -

P = a + b + 4ab - 2y

In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size

Given are the expressions as -

P = a + b + 2c

y = 2ab - C

We can write -

C = 2ab - y

Putting the values in the equation -

P = a + b + 2c

P = a + b + 2(2ab - y)

P = a + b + 4ab - 2y

Therefore, we can write the expression for {P} as -

P = a + b + 4ab - 2y

To solve more questions on algebraic equations, visit the link-

https://brainly.com/question/7888063

#SPJ1