Is this true or false?

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

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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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:

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

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.

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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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The value of x from the given figure is 155°.

The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle.

From the given figure,

By angle sum property,

90°+35°+a=180°

125°+a=180°

a=55°

Now, angles at a point on straight line is

55°+b°+60°=180°

b=65°

Using exterior angle theorem, we get

x=90°+65°

x=155°

Therefore, the value of x is 155°.

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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:

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 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 value of c that minimizes MSE is given by the equation above:

c = sum(y * x) / sum(x²)

To determine the value of c that minimizes the mean squared error (MSE), we must first find the derivative of MSE with respect to c and set it equal to zero. This will give us the critical points, which can then be tested to determine if they correspond to a minimum or maximum.

        dJ(c) / dc = 2 * sum((y - (c * x)) * (-x)) / n

       c = sum(y * x) / sum(x²)

        d² J(c) / dc² = -2 * sum(x²) / n

        c = sum(y * x) / sum(x²)

Note that this method assumes that J(c) is a convex function, which is typically the case for the MSE loss function.

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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 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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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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Nominal scales categorize data without order. Ordinal scales categorize data with order. Interval scales have equal units, but no true zero. Ratio scales have equal units and a true zero.

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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 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 integral of the current I(t) over the interval [a,b] represents the change in the charge Q from time t=a to t=b.

The current in an electrical circuit is defined as the rate at which charge is flowing through a conductor. The equation that represents the current is I(t) = dQ(t)/dt, where Q(t) is the charge at time t and dQ(t)/dt is the derivative of Q(t) with respect to time, representing the rate of change of charge.

The integral of I(t) with respect to time between the limits a and b, i.e. ∫I(t)dt between the limits a and b, represents the change in the charge from time t = a to time t = b. This is because the definite integral of a rate of change gives the total change in the quantity being measured, in this case, the charge.

So, [tex]\int\limits^a_b {|(t)} \, dt = Q(b) -Q(a)[/tex], which represents the change in the charge from time t = a to time t = b.

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A medium popcorn costs $16.875 and a small drink costs $2.50.

Two or more expressions with an Equal sign is called as Equation.

Let x be the unit cost of a medium popcorn and y be the unit cost of a small drink.

Shana  bought one medium popcorn and three small drinks for $14.75

1x+3y=14.75..(1)

y = (14.75 - x) / 3...*

Allyson bought two medium popcorns and five small drinks, she paid $26

2x+5y=26..(2)

Substitute * value in equation 2

2x + 5((14.75 - x) / 3) = 26

Expanding and simplifying the right-hand side:

2x + 14.75 - (5/3)x = 26

Combining like terms:

(2/3)x + 14.75 = 26

Solving for x:

(2/3)x = 11.25

x = 16.875

So, a medium popcorn costs $16.875 and a small drink costs (14.75 - x) / 3 = $2.50.

Hence,  a medium popcorn costs $16.875 and a small drink costs $2.50.

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If the point you end up at is coordinate (0.25, 0) then you would have ran one full lap around the track.

1. The given track is a circular track with a radius of 0.25 miles, and the center of the track is at (0, 0).

2. If you end up at the point (0.25, 0), then you would have ran one full lap around the track. This is because the coordinates of the point you end up at, (0.25, 0), are the same as the coordinates of the circumference of the track, which is located 0.25 miles from the center of the track.

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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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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 value of the tax for the meal is $1.05.

The government levies a consumption tax known as a sales tax on the purchase of goods and services. At the point of sale, a standard sales tax is imposed, collected by the shop, and paid to the government.

Depending on the regulations in that country, a business may be responsible for sales taxes in that jurisdiction if it has a presence there, which can be a physical site, an employee, or an associate.

Given the  cost of the meal = $15.00

and rate of tax = 7%

converting the rate of tax into decimal form,

rate of tax = 7% = 7/100

rate of tax = 0.07

amount of tax = cost x rate of tax

amount of tax = 15 x 0.07

amount of tax = $1.05

Hence the amount of tax is $1.05.

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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

Load is when the collection of forces is applied on the beam or segment then it is called load and the unit of the load is the newton.

To solve these questions there are a few steps to follow:

first, as per the question we have to draw a free-body diagram by considering point A.

Resolve the force in the x-direction:

[tex]R_A_x=0[/tex]

Resolve the force in the y-direction:

[tex]R_A_y-150-300=0\\\\R_A_y=450lb[/tex]

Now take the moment about point A, we get

[tex]M_A+(150*1.5)+(300*3)=0\\\\M_A=-1125lb.ft[/tex]

Next, draw a free-body diagram by considering point B.

Resolve the force in the x-direction:

[tex]R_B_x=0[/tex]

Resolve the force in the y-direction:

[tex]R_B_y-550-300=0\\\\R_B_y=850lb.[/tex]

Now take the moment about point B, we get

[tex]M_B+(550+5.5)*(300*11)=0\\\\M_B=-6325lb.ft[/tex]

And the last one draws a free-body diagram by considering point C.

Resolve the force in the x-direction:

[tex]R_C_x=0[/tex]

Resolve the force in the y-direction:

[tex]R_C_y-250-650-300=0\\\\R_C_y=1200lb.[/tex]

Now take the moment about point B, we get

[tex]M_C+(650+6.5)*(300*13)=0\\\\M_B=-8125lb.ft[/tex]

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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 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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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!!