y= x
between x=0 and x=4

Answer:

120

Step-by-step explanation:

To find the volume you multiply L = 10, W = 3, and H = 4

10 x 3 x 4

30 x 4

120

Q is not isomorphic to the dihedral group D4 because the dihedral group D4 is abelian, while Q is not.

(a) The full 8 × 8 multiplication table for Q is as follows:

1    i    j    k    -1   -i   -j   -k

1    i    j    k    -1   -i   -j   -k

i    -1   k    -j   -i   1    -k   j

j    -k   -1   i    -j   k    1    -i

k    j    -i   -1   -k   -j   i    1

-1   i    j    k    1    -i   -j   -k

-i   -1   -k   j    i    1    k    -j

-j   k    1    -i   j    -k   -1   i

-k   -j   i    1    k    j    -i   -1

(b) The inverse of each element of Q is as follows:

1: 1

i: -i

j: -j

k: -k

-1: -1

-i: i

-j: j

-k: k

(c) The order of each element of Q is as follows:

1: 1

i: 4

j: 4

k: 4

-1: 2

-i: 4

-j: 4

-k: 4

(d) The conjugacy classes of Q are as follows:

{1}, {-1}, {i, -i}, {j, -j}, {k, -k}.

(e) One way to see that Q is not isomorphic to the dihedral group D4 is that the dihedral group D4 is abelian, while Q is not.

Q is not isomorphic to the dihedral group D4 because the dihedral group D4 is abelian, while Q is not.

Learn more about isomorphic here:

https://brainly.com/question/29563352

#SPJ4

Answer:

Step-by-step explanation:

Yo-yo

15/6 = $2.50

Answer:

They sold 80 hamburgers and 72 salads.

Step-by-step explanation:

1) 72x7= 504

2) 80x5=400

3) 504+400=$904

Answer:

area = 6.25 m² (it says so in the question)

Step-by-step explanation:

Parallelogram

base = 2.5 m

area = 6.25 m²

area = 6.25 m²

The quantity of gallons that would be sold per hour when the price is $2.20 per gallon would be = 1288 gallons

When charges is $2.05 per gallon the number of gallons sold = 1200 gallons

When the charges is $2.45 per gallon the number of gallons sold = 900 gallons per hour.

That is;

$2.05 = 1200 gallons

$2.20 = X gallons

Make X gallons the subject of formula;

X gallons = 2.20×1200/2.05

= 2640/2.05

= 1287.8 gallons

= 1288 gallons ( approximately)

Learn more about addition here;

https://brainly.com/question/25421984

#SPJ1

Answer:

12 cm.

Step-by-step explanation:

to find the answer, first find the scale factor. the scale factor is 4/3. Then, multiply with 9 to find the length. 9x4/3=12.

The chosen dimensions are given as follows:

Length = Width = Height = 3.

a) The total volume of the prism is given as follows: 162 cubic units.

b) The scale factor to contract the prism is given as follows: 1/3.

c) The volume of the dilated prism is given as follows: 6 cubic units.

The volume of a rectangular prism, with dimensions length, width and height, is given by the multiplication of these dimensions, as follows:

Volume = length x width x height.

The dimensions for this problem are given as follows:

Length = 3, Width = 6, Height = 9.

Hence the volume is of:

V = 3 x 6 x 9

V = 162 cubic units.

The attributed scale factor is given as follows:

1/3.

As it is a contraction, the scale factor must be less than 1.

Hence the fraction that the volume of the dilated prism will represent is given as follows:

(1/3)³ = 1/27.

The scale factor is cubed as the side lengths are given in units while the volume is given in cubic units.

Hence the volume of the dilated prism is given as follows:

1/27 x 162 = 6 cubic units.

More can be learned about the volume of a rectangular prism at brainly.com/question/22070273

#SPJ1

The factors of the cubic function f(x) = 27x³ + 8 is  (3x + 2) and (9x² - 6x + 4) .

The factors of the cubic function f(x) = 27x³ + 8 can be found as follows:

Let's factorise the cubic function to find the factors. Hence,

27x³ + 8

Therefore, the cube root of 27 is 3 . This implies 3³ = 27. Also the cube root of x³ is x. The cube root of 8 is 2. This implies 2³ = 8

Using the cube root, let's factorise the cubic function as follows:

27x³ + 8  = (3x)³ + 2³ = (3x + 2)(9x² - 6x + 4)

Therefore, the factors are (3x + 2) and (9x² - 6x + 4)

learn more on factor here: https://brainly.com/question/30202676

#SPJ1

The graph and description of the function for the height level of the snow reported by the meteorologist are as follows;

(a) Please find attached the graph of the height of snow over time created with MS Excel

(b) The description of the intervals are presented as follows

Snow Description  [tex]{}[/tex]     Domain      Equation                 Graphical Behavior

Melting Snow[tex]{}[/tex]           [tex]{}[/tex]   [0, 8]           h(d) = 15 - 1.5·d    Interval of Decrease

No Melting   [tex]{}[/tex]                (0, 11]          h(d) = 3                Constant interval

Steady Snow   [tex]{}[/tex]            (11, 16]         h(d) = 3 + (1/2)·d   Interval of Increase

A function is a rule that defines how input and output variables are related, such that an input has exactly one output.

The starting amount of snow, h₁ = 15 inches

The coordinate of the point on the graph is; (h₁, d₁) = (0, 15)

The rate at which the snow will melt = 1.5 inches per days

Number of days over which the snow melts = 8 days

The equation for the first part of the graph is therefore;

h(d) = 15 - 1.5·d

The height of the snow after the first 8 days is therefore;

h₂, h(8) = 15 - 1.5 × 8 = 3

The height of the snow after the first 8 days is 3 inches

The point on the graph is; (h₂, d₂) = (8, 3)

The height of the snow remains steady in the next three days, therefore;

h₂ = h₃ = 3 inches

The point on the graph is; (h₃, d₃) = (11, 3)

The rate at which the snow accumulates from day 11 = (1/2) an inch per day

Number of days over which the snow will accumulate = 5 days

The equation is; h(d) = 3 + (1/2)·d

Therefore; h₄ = 3 + (1/2) × 5 = 5.5

The height of the snow after 5 more days is 5.5 inches

The point on the graph is therefore; (h₄, d₄) = (16, 5.5)

The points on the graph are therefore;

(0, 15), (8, 3), (11, 3), and (16, 5.5)

Please find attached the required graph created with MS Excel

(b) The attached table with rows and columns for describing the intervals that outlines the shape of the is completed and presented as follows;

Snow Description [tex]{}[/tex]       Domain          Equation          Graphical Behavior

Melting Snow [tex]{}[/tex]              [0, 8]             h(d) = 15 - 1.5·d     Interval of decrease

No Melting [tex]{}[/tex]                   (8, 11]         [tex]{}[/tex]   h(d) = 3 + (1/2)·d    Constant interval

Steady Snow[tex]{}[/tex]                (11, 16]    [tex]{}[/tex]       h(d) = 3 + (1/2)·d    Interval of increase

Learn more on the domain and range of a function here: https://brainly.com/question/10667411

#SPJ1

The inequality that represents the number of dollars in John’s bank account at the end of the month is  d > - 25.

Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.

The symbol a < b indicates that a is smaller than b.

When a > b is used, it indicates that a is bigger than b.

a is less than or equal to b when a notation like a ≤ b.

a is bigger or equal value of an is indicated by the notation a ≥ b.

Given, Tim’s goal is to have more than - $25 in his bank account by the end of the month.

Let, 'd' represent the number of dollars in John’s bank account at the end of the month.

Therefore, The inequality that represents the context is d > - 25.

learn more about inequalities here :

https://brainly.com/question/28823603

#SPJ1

The linear function that best models line l is given as follows:

F. x = 4.

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

For which the parameters are given as follows:

For a vertical line, the slope is undefined, hence the function is given as follows:

x = c.

The function in this problem has a x-coordinate of 4 for all values of y, hence it is defined as follows:

x = 4.

More can be learned about linear functions at https://brainly.com/question/24808124

#SPJ1

For a, b, and c being independent random variables uniformly distributed over (0,1), the joint cumulative distribution function of a, b, and c is given by:

F(a,b,c) = abc

For the probability that all of the roots of the equation Ax2 + Bx + C = 0 are real, we can use the quadratic formula to solve for the roots:

x = [-B +/- sqrt(B^2 - 4AC)]/2A

To ensure that these roots are real, we must make sure that the discriminant B^2 - 4AC is greater than or equal to 0. The probability that this is the case is given by the integral of the joint cumulative distribution function over the range 0 <= B^2 - 4AC >= 0, which evaluates to 1/8.

Therefore, the probability that all of the roots of the equation Ax2 + Bx + C = 0 are real is 1/8.

Learn more about Mathematics:

https://brainly.com/question/22688504

#SPJ4

The solution is, 46 quarts (qt) = 46*4*8 oz

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

1 qt = 4 cups,

1 cup = 8 oz

so, we get,

46 quarts (qt) = 46*4 cup

i.e. 46 quarts (qt) = 46*4*8 oz

Hence, The solution is, 46 quarts (qt) = 46*4*8 oz

To learn more on multiplication click:

brainly.com/question/5992872

#SPJ1

This is how you work it out:

A=  2 x 6 = 12m squared

B = 9 x 2 = 18m squared

C = 6 x 9 = 54m squared

if you need the total of these its right here: 90m squared

Hope this helps

Answer:

X=3

Step-by-step explanation:

I feel like your trying to find the solution for x

the first step is to isolate the variable

3x+3-3=12-3

3x=9

now we will divide to find x

3x/3=9/3

x=3

Answer:

3x+ 3- 3= 12-3

1/3(3x + 3)= 1/3 (12)

3x +3/ 3= 12/3

The equation that can be used to find the value of x is x = (3.1) / sin (52).

option B.

The equation that can be used to find the values of x can be obtained by applying trigonometry relationship as shown below.

x is found on the hypothenuse side of the right triangle

the given side of the right triangle is found on the opposite side of the triangle

Sin θ = opposite side / hypothenuse side

sin ( 52 ) = 3.1 / x

x = ( 3.1 ) / sin ( 52 )

Learn more about trigonometry ratios here: https://brainly.com/question/10417664

#SPJ1

I'm sorry, but you haven't provided enough information to determine the ratio of red ribbon to total. Please provide more details.

The while loop that reads the integers and add them is given as follows:

do{

scanf(%d, &val);

if(val != 1)

sum += val;

}while(val != 1);

printf("%d\n", sum);

The variables needed for the for loop are given as follows:

int val, sum;

The condition on the while statement is that the integer cannot be one, when it is one the program exists the while loop.

The print command shows the result of the sum.

More can be learned about while loops at https://brainly.com/question/14293274

#SPJ1

the probability distribution that models the time between randomly occurring events such as the time to, or between, failures is: exponential Distribution.

The exponential distribution has a lot of practical value, especially in matters relating to time, for example: waiting time, the life time of a device or the length of time until a device stops functioning, the length of a telephone conversation, and so on.

The Exponential Distribution is a continuous distribution and is a special form of the gamma distribution with α=1α=1. The following are some of the important characteristics of the exponential distribution.

Learn more about exponential distribution at https://brainly.com/question/22692312.

#SPJ4

The system of equations that represent this situation is given as follows:

The variables for the system of equations are given as follows:

The total weight is of 120 kg, hence the first equation is given as follows:

d + m = 120.

Her recipe calls for twice the amount of dark chocolate as milk chocolate, hence the second equation is given as follows:

d = 2m.

More can be learned about a system of equations at https://brainly.com/question/30374328

#SPJ1

The solution is, f(x) = 7 is a even function.

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

here, we have,

Solution:

Given that we have to find the even function

A function is even if and only if f(–x) = f(x)

Steps to follow:

Replace x with -x and compare the result to f(x).

If f(-x) = f(x), the function is even.

If f(-x) = - f(x), the function is odd.

If f(-x) ≠ f(x) and f(-x) ≠ -f(x), the function is neither even nor odd.

now,

Option 4

f(x) = 7

f(-x) = 7

Thus f(-x) = f(x)

Thus it is a even function.

To learn more on function click:

brainly.com/question/21145944

#SPJ1

The total number of DVDs ordered after m months since the beginning of the year.

The antiderivative of the rate of change of DVD orders can be represented by the general equation: S(m) = 500m^2/2 + 8m + C. To calculate the antiderivative, we first need to find the integral of the function. We can do this by multiplying the rate of change by the differential of m, which is just dm. This gives us 500m^2/2 + 8m, which is our integrand. Finally, we integrate this expression with respect to m to get our desired antiderivative. This gives us 500m^2/2 + 8m + C, where C is the constant of integration. This equation represents the total number of DVDs ordered after m months since the beginning of the year.

Learn more about total number here:

https://brainly.com/question/3589613

#SPJ4

Activity-based costing is a method of assigning overhead costs to activities and then assigning those costs to products, and is calculated by dividing total overhead cost by total number of activities and multiplying by the number of activity units associated with the activity.

Activity-based costing (ABC) is a costing method that assigns costs to activities within an organization, and then assigns the cost of those activities to products. The goal of ABC is to more accurately assign overhead costs to products or services. ABC begins by assigning a cost to each activity based on the cost of the resources used to complete the activity. This is normally done by gathering cost data from different departments and then assigning overhead costs to each activity.

For example, the formula for activity-based costing is:

Activity Cost = (Total Overhead Cost / Total Number of Activities) x Number of Activity Units

For example, if a company has total overhead costs of $100,000 and 10 different activities, the cost for each activity would be $10,000. If one of those activities had 10 units associated with it, the cost of that activity would be $1,000 (or $10,000/10 x 10).

Once the cost of each activity is determined, the cost of the activity can be assigned to the products or services that use the activity. This allows the company to better understand the cost associated with each product or service. By understanding the costs associated with each product and service, the company can better manage the costs associated with producing and selling their products.

Activity-based costing is a method of assigning overhead costs to activities and then assigning those costs to products, and is calculated by dividing total overhead cost by total number of activities and multiplying by the number of activity units associated with the activity.

Learn more about total number here:

https://brainly.com/question/16972278

#SPJ4

We estimate that, based on the sample, 9.18% of Oregon whelks will drill into mussels.

We can calculate the estimated proportion of Oregon whelks that will drill into mussels by using the following formula: [tex]$\hat{p} = \frac{x}{n}$[/tex], where x is the number of whelks that drilled into mussels and $n$ is the total number of whelks in the sample.

In this example, x is equal to 9, and n is equal to 98. Thus, the estimated proportion of Oregon whelks that will drill into mussels is [tex]$\hat{p} = \frac{9}{98} = 0.0918$[/tex]. This means that, based on the sample, we estimate that 9.18% of Oregon whelks will drill into mussels.

We estimate that, based on the sample, 9.18% of Oregon whelks will drill into mussels.

Learn more about sample here:

https://brainly.com/question/15659544

#SPJ4

The number of elements in B is 26.

Given that the number of elements in A union B is 40, the number of elements in A is 20 and the number of elements in A intersect B is 6, we can use the following formula to calculate the number of elements in B:

n(B) = n(A ∪ B) - n(A) + n(A ∩ B)

Substituting the given values, we get:

n(B) = 40 - 20 + 6

Therefore, n(B) = 26

The above formula can be broken down into the following steps:

n(A ∪ B) = n(A) + n(B) - n(A ∩ B)

This formula states that the number of elements in A union B is equal to the sum of the number of elements in A and B minus the number of elements in A intersect B.

Therefore, if we know the number of elements in A union B and the number of elements in A intersect B, we can calculate the number of elements in B by subtracting the number of elements in A from the number of elements in A union B and then adding the number of elements in A intersect B.

In this case, given that the number of elements in A union B is 40, the number of elements in A is 20, and the number of elements in A intersect B is 6, we can calculate the number of elements in B by subtracting the number of elements in A (20) from the number of elements in A union B (40) and then adding the number of elements in A intersect B (6).

This yields n(B) = 40 - 20 + 6 = 26.

Therefore, the number of elements in B is 26.

Learn more about intersect here:

https://brainly.com/question/14217061

#SPJ4

Answer:

Step-by-step explanation:

A number line that shows how much money Lucas needs would look like this:

[..........................................75...........]

Where the dots represent the amounts of money and the brackets denote the interval that Lucas needs to reach, in this case, $75 or more. The number line shows that Lucas needs to have at least $75 in order to buy a new uniform.

The dataset provides the different sales tax rates for counties in Missouri. Wright County has rates from 0.056 to 0.076, while Worth County has rates from 0.061 to 0.081.

The dataset provides the different sales tax rates for counties in Missouri. For example, in Wright County, the sales tax rate is 0.056 in Grovespring, 0.056 in Manes, 0.06975 in Mansfield, 0.056 in Macomb, 0.076 in Norwood, and 0.076 in Montai. Worth County has a slightly different tax rate, ranging from 0.061 in Allendal, Grant, and Sheridan to 0.081 in Denver. This data can be used to help businesses better understand the sales tax rates for each county in Missouri and help them plan accordingly when filing their taxes. Furthermore, individuals can use this data to compare the different sales tax rates across counties and help them make informed decisions when making purchases.

Learn more about rates here

https://brainly.com/question/199664

#SPJ4

Answer:

Below

Step-by-step explanation:

You are given beats (195)   and  minutes (3)  and want beats/ minute

195 beats / 3 min  = 65 beats per minute

260/4 = 65 beats/min

325 / 5 =65 beats/min

Answer:

So the perimeter of the rectangle is 33y + 1 feet.

Step-by-step explanation:

Let's call the width of the rectangle "w" and the length "l". From the given information, we have:

w = 7y - 9.5

l = 9.5y + 10

The perimeter of a rectangle is equal to the sum of the lengths of all four sides, so we can find the perimeter by adding up the values of w and l:

P = 2w + 2l

= 2(7y - 9.5) + 2(9.5y + 10)

= 14y - 19 + 19y + 20

= 33y + 1

So the perimeter of the rectangle is 33y + 1 feet.

Answer:

Rectangle

Solve for perimeter

P=33

length =9.5

Width =7

Step-by-step explanation:

the answer is 33

Hope this helps!!