Find the area and perimeter.

The figure shows a rectangle. The length of the rectangle is given by 9 x units. The width of the rectangle is given by 2 x plus 7 units.

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

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 )

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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)

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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.

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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!!

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.

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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.

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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.

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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

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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)

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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

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.

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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.

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The area of triangular patio = 810 sq. ft

and In drawing, The area of triangle = 10 sq. In

A triangle is a closed figure that has three vertices, three sides, and three angles. The entire area filled by a triangle's three sides in a two-dimensional plane is referred to as the triangle's area. The fundamental equation for a triangle's area is A = 1/2 b h, where b and h are the product of the triangle's base and height.

Given that in drawing the base and height of a triangular patio are: 5 In and 4 In.

and A scale drawing of the patio is 1 in. : 9 ft

So that the the base and height of a triangular patio are 5*9 ft = 45ft and 4*9 ft = 36 ft

The area of triangular patio = 1/2 * base * height

The area of triangular patio = 1/2 * 45 * 36 sq. ft

The area of triangular patio = 810 sq. ft

In drawing, The area of triangle = 1/2 * base * height

The area of triangle = 1/2 * 5 * 4 sq. In

The area of triangle = 10 sq. In

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

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.

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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.

Answer:

Step-by-step explanation:

Yo-yo

15/6 = $2.50

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.

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The graph of the function y = x for x ∈ [0, 4] is a line segment that starts at the point (0, 0) and ends at the point (4, 4).

The equation y = x represents a linear function with a slope of 1. The graph of this function is a line that passes through the origin and has a slope of 1. The x-coordinates of the points on this line are in the interval [0, 4], meaning that the function takes in x-values between 0 and 4.

The y-coordinates of the points on the graph are also in the interval [0, 4], meaning that the range of the function is y ∈ [0, 4]. The graph of the function y = x for x ∈ [0, 4] is a line segment that starts at the point (0, 0) and ends at the point (4, 4).

A number system is a system of writing and representing numbers. There are several different number systems, including:

Natural numbers: The set of positive integers (1, 2, 3, 4, ...).

Integers: The set of positive and negative whole numbers, including zero (..., -3, -2, -1, 0, 1, 2, 3, ...).

Rational numbers: The set of numbers that can be expressed as a fraction of two integers.

Real numbers: The set of numbers that include all the rational numbers and also the irrational numbers, which cannot be expressed as a simple fraction of two integers.

Complex numbers: The set of numbers that consist of a real part and an imaginary part, represented as a + bi, where a and b are real numbers and i is the imaginary unit (i^2 = -1).

Each number system has its own properties and uses in different fields of mathematics and science. For example, natural numbers are used in counting and counting problems, rational numbers are used in finance and economics, real numbers are used in geometry and calculus, and complex numbers are used in electrical engineering and physics.

Following is the graph of the given problem -

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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.

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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.

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 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

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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.

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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.

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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.

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Answer:

They sold 80 hamburgers and 72 salads.

Step-by-step explanation:

1) 72x7= 504

2) 80x5=400

3) 504+400=$904

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.

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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