Boris feeds his dog 3/5 pounds of dog food for each meal. Boris has just bought 30 pounds of dog food. For how many meals will the food last?

The sequence of transformations that maps ∆ABC to ∆A'B'C' include the following: D. (T(0, -4) о r(90°, 0)(∆ABC)

In Geometry, the rotation of a point 90° about the center (origin) in a counterclockwise (anticlockwise) direction would produce a point that has these coordinates (-y, x).

By applying a rotation of 90° counterclockwise to the vertices of triangle ABC (∆ABC), the coordinates of the vertices of the image (∆A′B′C′) are as follows:

(x, y)                               →            (-y, x)

Ordered pair A  = (5, 5) → Ordered pair A' = (-5, 5)

Ordered pair B = (1, 3) → Ordered pair B' = (-3, 1)

Ordered pair C = (2, 1) → Ordered pair C' = (-1, 2)

Next, we would translate the vertices of the image (∆A′B′C′) 0 units to the right and 4 units downward as follows;

Ordered pair A' = (-5, 5) → (-5 + 0, 5 - 4) = (-5, 1)

Ordered pair B' = (-3, 1) → (-3 + 0, 1 - 4) = (-3, -3)

Ordered pair C' = (-1, 2) → (-1 + 0, 2 - 4) = (-1, -2)

Read more on rotation here: brainly.com/question/28515054

#SPJ1

Answer:

Step-by-step explanation:

so a(x+4)(x-3)is total form after putting the point you will have 4(x+4)(x-3)=y

so answer is 4x^2+4x-48=y

Answer:

To find the difference between the elevations of City A and City B, we need to subtract the elevation of City A from the elevation of City B. Since City A is located 15 meters below sea level, and City B is located 43 meters above sea level, the difference between their elevations is $43 - (-15) = 43 + 15 = 58 meters. Therefore, the difference between the elevations of City A and City B is 58 meters.

90° clockwise rotation of the origin.

Because the domain or range values of the function f(x) have changed, rules of transformations assist in changing f(x) to a new function f'(x). With the use of these transformational rules, the function can be stretched or compressed as well as transformed vertically or horizontally. Graphical representations of the transformation rules are also possible.

These modifications are represented by transformation rules in the function's x or y values. The following are the six key transformational rules.

90° clockwise rotation of the origin.

To learn more about rule of transformation refer to:

https://brainly.com/question/28061731

#SPJ1

The complete answer: A domain is a set of input data in a relationship.

The collection of all conceivable independent values that a function or relation may take is known as its domain.

An input value and an output value are matched in a relation.

A relation is a function where each input value yields one and only one output value.

Graphs, tables, and ordered pairs can all be used to represent functions. The domain is the set of input values,

while the range is the set of output values.

The domain of a function or relation is the set of all possible independent values that it can have.

Therefore,  a domain is a set of input data in a relationship.

To learn more about the domain;

https://brainly.com/question/28135761

#SPJ1

The whole Python code is included below as an image, and it sets the base and height of triangles 1 and 2, then calculates the bigger area.

The code for determining the area of the triangle is:

class Triangle:

def __init__(A):

A.base = 0

A.height = 0

def set_base(A, user_base):

A.base = user_base

def set_height(A, user_height):

A.height = user_height

def get_area(A):

area = 0.5 * A.base * A.height

return area

def print_info(A):

print('Base: {:.2f}'.format(A.base))

print('Height: {:.2f}'.format(A.height))

print('Area: {:.2f}'.format(A.get_area()))

if __name__ == "__main__":

triangle1 = Triangle()

triangle2 = Triangle()

# TODO: Read and set base and height for triangle1 (use set_base() and set_height())

# TODO: Read and set base and height for triangle2 (use set_base() and set_height())

# TODO: Determine smaller triangle (use get_area())

print('Triangle with smaller area:')

# TODO: Output smaller triangle's info (use print_info())

Traingle is a type of polygon, the name itself days, tri means three, angles.

So, in a triangle, there will be three vertices, three sides and three angles.

The vertex of a triangle is a point where any two of the sides of a triangle meet.

The altitude of a triangle is the perpendicular length of the triangle, it is also called as height of the triangle. It is drawn perpendicular on the base of the triangle to the apex.

Base of a triangle is that particular side of the triangle on which an altitude is drawn.

For writing the code, we will put the input like only values, like 6.0, 7.0, 11.0 etc.

The first value will denote base of first triangle, second will denote height  of first triangle and third will denote base of second triangle and fourth value denotes height of second triangle/

Let us assume that,

Triangle with smaller area:

Base: 4.00

Height: 5.00 = [4.00*5.00]2 = 10.00

For more questions on Area of triangle by Python

https://brainly.com/question/25327642

#SPJ4

The Slope intercept form of equation passing through points ( 1 , 3 ) and having slope 3 is y = 3x

In mathematics, formulating an equation for a line in the form y = mx + b is known as slope intercept form. The m stands for the line's slope, and the b for the y-intercept. When you need to find a point on a line or solve for y given x, you utilize the slope intercept form.

According to the given information

Form of the slope intercept: y = mx + b

It goes through some points ( 1 , 3 )

Slope of the line given m = 3

Put x = 1 and y = 3 and m = 3 in slope intercept form equation

3 = 3( 1 ) + b

b = 0

Hence

Put the value of b = 0 in y = mx + c

y = 3x

The Slope intercept form of equation passing through points ( 1 , 3 ) and having slope 3 is y = 3x

To know more about Slope Intercept Form equation

https://brainly.com/question/21298390

#SPJ1

Answer:

Step-by-step explanation:

log base (2) of (x^2 +5) = (3) can also be described as 2^3 = x^2 + 5

simplify: 8 = x^2+5

Subtract 5 from each side: 3 = x^2

square root: x = sqrt(3)

Answer:

Step-by-step explanation:

[tex]log(2)^{(x^2+5)}=3\\[/tex]

[tex]2^3 =x^2+5\\8-5=x^2\\x^2=3\\x=\pm\sqrt{3}[/tex]

Answer:

[tex]2x^2+7x+C[/tex]

Step-by-step explanation:

Find the antiderivative of f'(x)=4x+7

[tex]\frac{4x^{1+1} }{1+1}+7x+C\\\frac{4x^2}{2}+7x+C\\ 2x^2+7x+C\\[/tex]

The linear inequality x < - 3 is represented on the number line below

An Inequality represents the mathematical expression that shows both sides are not equal. When the relationship makes a non-equal comparison between two expressions or two numbers, then it is known as inequality. In this case, the equal sign in the expression is represented by any of the inequality symbols such as greater than symbol (>), less than symbol (<), greater than or equal to symbol (≥), less than or equal to symbol (≤) or not equal to symbol (≠).

The inequality given is;

-2x + 0.25 > 6.25

-2x > 6.25 - 0.25

-2x > 6.0

Divide both sides by coefficient of x

x < -3

Placing this on a number line, we would have;

Kindly find the attached graph below

learn more on graph of linear inequality here;

https://brainly.com/question/23093488

#SPJ1

The beginning balance of the cash account = $23075

A cash account is a type of brokerage account that requires that all transactions be settled in full on the settlement date using available cash.

In order to ensure that there is sufficient cash on hand to fulfill the buy order when buying stocks in a cash account, the investor must either make a deposit of enough money to cover the transaction or sell other securities on the same trading day.

Contrary to margin accounts, cash accounts do not allow short selling or margin trading.

According to the given question, cash payments were 80% of collections. So, The cash payment or Disbursement are as follows:-

Disbursements = 80% of collections

Disbursements = $115,375 * 0.8

Disbursements = $92,300

The opening balance is computed by using the following formula:-

Opening Balance = Collections - Disbursements

= $115,375 - $92,300

= $23075

Therefore,

The beginning balance of the cash account = $23075

To learn more about Cash account visit :

brainly.com/question/23343723

#SPJ4

The solution is D = 200 feet

The diameter of the circular store is = 200 feet

What is a Circle?

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle

The perimeter of circle = 2πr

The area of the circle = πr²

where r is the radius of the circle

The standard form of a circle is

( x - h )² + ( y - k )² = r²,

where r is the radius of the circle and (h,k) is the center of the circle

Given data ,

Let the diameter of the circle be represented as = D

Let the radius of the circular store be = r

D = 2r

Now , the area of the circular store be = A

The value of A = 31,415 feet²

The area of the circular store is given by the formula

Area of the circle = πr²

Substituting the values in the equation , we get

31415 = 3.1415 x r²

Divide by 3.1415 on both sides of the equation , we get

r² = 10000

Taking square roots on both sides of the equation , we get

r = 100 feet

Now , the diameter of the store = 2 x radius of the store

Diameter of the store D = 2 x 100 feet

Therefore , diameter of the store D = 200 feet

Hence , The diameter of the circular store is = 200 feet

To learn more about circle click :

https://brainly.com/question/28391204

#SPJ1

The probability that the first success occurs on trial number n = 3 is 0.032

Given:

probability of success on a single trial p = 0.80

trial number, n = 3

Recall the formula for the Geometric Probability Distribution

P(n) = p(1 - p)ⁿ⁻¹

where n is the number of the binomial trial on which the first success occurs and p is the probability of success on each trial

P(n) = p(1 - p)ⁿ⁻¹

P(3) = 0.8(1-0.8)³⁻¹

P(3) = 0.8(0.2)²

P(3) = 0.032

Learn more about binomial probability on:

brainly.com/question/29220138

#SPJ1

Answer: 11/14 (eleven over fourteen)

Step-by-step explanation:

By using the well ordering principle we can easily prove that the equation

4a³ + 2b³ = c³ does not have any solution for positive integers.

Let (a, b, c) be a positive integer solution with c the smallest possible.

Then c³ is even as the sum of a factor of 4 and factor of 2 is always even .

hence c itself is even.

Let us consider  c = 2c₀ ;

4a³ + 2b³ = (2c₀)³

or, 4a³ + 2b³ = 8c₀³

then 2a³+b³ = 4c₀³

This time, we see that b must be even. using the same principle as above .

Put b = 2b₀ ;

2a³ + 8b₀³ = 4c₀³

then a³ + 4b₀³ = 2c₀³

thus a = 2a₀ must be even,

and 4a₀³+2b₀³=c₀³,

i.e. (a₀, b₀, c₀) is another solution. But c₀ = c/2<c.

And we have taken c to be the smallest of the solutions.

hence we get a contradiction.

Therefore our assumption is not valid.

To learn more about well ordering principle visit:

https://brainly.com/question/17295723

#SPJ4

If the price of a latte is $4 and the price of a muffin is $2, then we can conclude that Julia can buy 5 lattes or 10 muffins ($20) if she chooses to buy only one of the two goods.

A price is the sum of money that one party pays or receives in exchange for another's goods or services. The cost of production may go by another name in certain circumstances. If the item is a "good" in a commercial transaction, the cost of the item will probably be referred to as its "price."

In this case, Allie receives a $20 gift card for the local coffee shop, where she only buys lattes and muffins. Here, we can conclude that Julia can buy 5 lattes. This will be 5 × $4 = $20 or 10 muffins which will be:

= 10 × $2

= $20

Learn more about price on:

https://brainly.com/question/1153322

#SPJ1

The total interest paid on the loan repayable over three months weekly at 2.85% per week is $3,584.96.

The total interest can be computed using an online finance calculator.

The result is then added to the late payment fees.  The default payment fee is the product of $600 and 5.

N (# of periods) = 14 weeks (3 x 4 + 2)

I/Y (Interest per year) = 2.85%

PV (Present Value) = $50,000

PMT (Periodic Payment) = $4,000

Results:

Sum of all periodic payments = $56,000.00

Total Interest = $584.96

Late payment charge = $3,000 ($600 x 5)

Total interest and late charge = $3,584.96

Learn more about interests and late payment fees at https://brainly.com/question/20803328

#SPJ1

Assume that the borrower repays $4,000 weekly.

The maximum area of the tile to contain both grounds is 12x²y²

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

Area of ground A = 12x^2y sq. units

Area of ground B = 6xy^2sq units

Rewrite these areas properly

So, we have the following representation

Area of ground A = 12x²y sq. units

Area of ground B = 6xy² sq units

Express the areas as the products of their prime factors

This gives

Area of ground A = 2 * 2 * 3 * x * x * y

Area of ground B = 2 * 3 * x * y * y

From the above products, we have

Least common multiple = 2 * 2 * 3 * x * x *y * y

Evaluate the products

Least common multiple = 12x²y²

This represents the greatest area

Hence, the greatest area is 12x²y²

Read more about LCM at

https://brainly.com/question/16407111

#SPJ1

(a) There are 36 ways to select 8 apartments randomly by cluster sampling method.

(b) Throughout this process, we obtain floors 3, 4, 6, or 3, 6, which do not have sample flats with children, and as a result, the sample will not accurately reflect the population.

(a) Given the building has 9 floors which are taken as N=9 clusters.

Each floor has 4 apartments.

It is to select 8 apartments by cluster sampling method.

That is to select a sample of size any n=2 floors(clusters) by cluster sampling method out of the population of N=9 clusters.

By simple random sampling without replacement, there are NCn = 9C2 =36 ways to select 2 clusters.

Hence, there are 36 ways to select 8 apartments randomly by cluster sampling method.

(b) The main benefit of stratified sampling over cluster sampling is that the sample obtained using this method will unquestionably include representations of both features, i.e., apartments with and without children as a full representative of the population.

In contrast, there is no guarantee that the sample of flats with and without children from the cluster sampling approach will accurately reflect both qualities. Sometimes throughout this process, we obtain floors 3, 4, 6, or 3, 6, which do not have sample flats with children, and as a result, the sample will not accurately reflect the population.

To learn more about random selection link is here

brainly.com/question/27975182

#SPJ4

The right question is given beow:

The dimensions of the rectangular box with largest volume if the total surface area is given as 100 cm2: x = y = z = 2.449 cm.

Given that:

Total surface area of the rectangular box or cuboid = 100 cm²

A rectangular box with largest volume is a cube.

The total surface area of a cube = 6 times square of one edge length.

Let the edge length = given dimensions; x, y, z

So,

x = y = z

6x^2 = 100

x^2 = 100 / 6

x = √ 100 / 6

x = 10 / √ 6 cm

x = 2.449 cm

Hence, dimensions of the rectangular box with largest volume if the total surface area is given as 100 cm2: x = y = z = 2.449 cm.

Learn more about cube surface area at: https://brainly.com/question/13789496

#SPJ4

The statement of the problem has already made a lot of decisions for us. We are told to use three global variables of type int[]. The variables must be static, and I have chosen to make them private, so the declarations become:

private static int[] firstNumbers;  // The first numbers in all ten questions.

private static int[] secondNumbers; // The second numbers in all ten questions.

private static int[] user answers;   // The user's answers to the ten questions.

Note that these declarations are not in any subroutine. These statements only create variables, not arrays. We still need to create three arrays of length 10. The arrays can be created using the new operator. This initialization could in fact be combined with the declaration of the variables:

private static int[] firstNumbers = new int[10];

private static int[] secondNumbers = new int[10];

private static int[] userAnswers = new int[10];

Another possibility would be to create the three arrays at the beginning of the main() routine. In fact, I chose to create them in the subroutines where they are first used.

The program has three stages -- create the problems, administer the quiz, and grade the quiz -- and we are told to write a subroutine to do each stage. The main program simply has to call the subroutines:

public static void main(String[] args) {

   createQuiz();

   administerQuiz();

   gradeQuiz();

}

This is an example of using subroutines to break up a large task into several simpler subtasks, so that programming each subtask becomes a separate problem. The subroutines are short and not too hard to write. Looking at administerQuiz() as an example, note that the user's answers have to be stored in the array, the user answers so that they can be used when grading the quiz. I create the array itself before asking any questions and then store the user's responses in the array as they are read by the user. On the other hand, the arrays that hold the numbers that occur in the questions have already been created and filled before administerQuiz() is called. Here's the subroutine:

private static void administerQuiz() {

   userAnswers = new int[10];

   for (int i = 0; i < 10; i++) {

       int questionNum = i + 1;

       System.out.printf("Question %2d:  What is %2d + %2d  ? ",

                     questionNum, firstNumbers[i], secondNumbers[i]);

       userAnswers[i] = TextIO.getlnInt();

   }

}

A couple notes about the output: I wanted to number the questions 1, 2, ..., 10, but the elements of the arrays are numbered 0, 1, ..., 9. This means that the question number that I output has to be one more than the array index. Also, all the numbers that occur in my program are either one or two digits. By allowing exactly two digits for each number in the output, I can get everything to line up neatly. Here's the I/O for a sample run of the program:

Welcome to the addition quiz!

Question  1:  What is 40 + 14  ? 54

Question  2:  What is 18 + 38  ? 46

Question  3:  What is 21 + 31  ? 52

Question  4:  What is 18 + 36  ? 54

Question  5:  What is 43 + 12  ? 55

Question  6:  What is 21 + 17  ? 38

Question  7:  What is 33 + 25  ? 58

Question  8:  What is 39 + 21  ? 70

Question  9:  What is  1 + 25  ? 26

Question 10:  What is 39 + 26  ? 65

Here are the correct answers:

  Question  1:  40 + 14  =  54.  You were CORRECT.

  Question  2:  18 + 38  =  56.  You said 46, which is INCORRECT.

  Question  3:  21 + 31  =  52.  You were CORRECT.

  Question  4:  18 + 36  =  54.  You were CORRECT.

  Question  5:  43 + 12  =  55.  You were CORRECT.

  Question  6:  21 + 17  =  38.  You were CORRECT.

  Question  7:  33 + 25  =  58.  You were CORRECT.

  Question  8:  39 + 21  =  60.  You said 70, which is INCORRECT.

  Question  9:   1 + 25  =  26.  You were CORRECT.

  Question 10:  39 + 26  =  65.  You were CORRECT.

You got 8 questions correct.

Your grade on the quiz is 80.

To know more about quiz visit: brainly.com/question/24244569

#SPJ4

Answer:

3.14 cm²

Step-by-step explanation:

The formula to find the area of a circle is:

A = πr²

Here,

r ⇒ radius ⇒ 1 cm

Let us find it now.

A = πr²

A = 3.14 × 1 × 1

A = 3.14 cm²

The two linear equations have the same slope, -2/3, and different y-intercepts, thus, the lines are parallel.

A general linear equation is written as:

y = a*x +b

Where a is the slope and b is the y-intercept.

Two linear equations are parallel if both lines have the same slope and different y-intercepts.

And two lines are perpendicular if the product between the slopes is equal to -1.

In this case, we have the two linear equations:

y= -(2/3)*x - 3

y= -(2/3)*x + 6

So you can see that both linear equations have the same slope -2/3 and different y-intercepts, thus, the lines are parallel.

Learn more about linear equations:

https://brainly.com/question/1884491

#SPJ1

We have evidence that this is not a symmetrical die, the standardized residuals is 9.5689

The die is tossed 1000 times

Given the observed value

x1 = 163

x2=178

x3=142

x4= 150

x5 = 183

x6 = 184

The mean = 163 + 178 + 142 + 150 + 183 + 184 / 6

= 1000 /6

= 166.67

Next we have to find the value of (observed value - Expected value)^2 / Expected value

x1 = (163-166.67)^2 / 166.67 = 0.081

x2 = (178-166.67)^2 / 166.67 = 0.7659

x3 = (142-166.67)^2 / 166.67 = 3.6598

x4 = (160 -166.67)^2 / 166.67 = 1.673

x5 = (183 - 166.67)^2 /  166.67 =  1.5938

x6 = (184-166.67)^2 / 166.67 =   1.7954

The standardized residuals = 0.081 + 0.7659 + 3.6598 +1.673 +1.5938 +1.7954 = 9.5689

Therefore, this is not a symmetrical die

Learn more about symmetrical die here

brainly.com/question/12834677

#SPJ4

Reason:

The horizontal width spans from 8 to 20. This is a distance of 20-8 = 12 units.

The height is some unknown, which I'll call x. We multiply the width and height to get the area. This area must be 1 to represent 100%. You can think of it like a pie chart. This applies to any probability distribution.

area = base*height

1 = 12*x

x = 1/12

Therefore, the height of this rectangle must be 1/12 so that the area of this rectangle is 1.

Step-by-step explanation:

[tex]1. \: \: 3x +4 y = 8.50[/tex]

[tex]2. \: \: 5x + 8y = 14.50[/tex]

times equation 1 by 2

[tex]3. \: \: 6x + 8y = 17[/tex]

3-2 eliminates y variable

[tex]x =2.50[/tex]

[tex]y = 0.25[/tex]

The correct option is B (f-g)(y)=8 y²-y+3

What exactly are function and example?

A rule is something that produces one output from one input, such as a function. Alex Federspiel was the source of the image. As an illustration, consider the equation y=x2. For every x input, there is only one y output. The fact that x is the input value leads us to say that y is a function of x.

Which four sorts of functions are there?

The classification of various types of functions can be done using four primary categories. All functions are based on the element: one to one, many to one, onto, one to one, and into.

Given that:

f(y)=5 y²-2y+1

g(y)=-3y²-y-2

(f-g)(y) = 8y²-y+3

Option b is correct

Learn more about function

brainly.com/question/25638609

#SPJ1

Answer:

x- intercept = - 8 , y- intercept = 6

Step-by-step explanation:

to find the x- intercept let y = 0 in the equation and solve for x

3x - 4(0) = - 24

3x = - 24 ( divide both sides by 3 )

x = - 8 ← x- intercept

to find the y- intercept let x = 0 in the equation and solve for y

3(0) - 4y = - 24

- 4y = - 24 ( divide both sides by - 4 )

y = 6 ← y- intercept

Answer: 15 square yards

Step-by-step explanation:

area of a triangle is 1/2bxh so the base is 10 and the height is 3. Therefore 1/2 the base or 1/2 of 10 is five and the height is still three then you multiply so 5 x 3= 15

hope this helps