Task #2: Jack makes $32 when he sells 4 pumpkins. How many pumpkins will he have to sell to make $48? If Jack finds that he has $120 at the end of the day, how many pumpkins did he sell?​

The value of sin(4π-x) is -sinx

The trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.

Given that, express the given in terms of sinx or cosx sin (4π-x)

sin(4π-x) = sin(2π+2π-x)

We know, that, sin(a+b) = sina·cosb+sinb·cosa

Here, a = 2π and b = 2π-x

Therefore,

sin(2π+2π-x) = sin2πcos(2π-x)+sin(2π-x)cos2π

Now, sin2π = 0 and cos(2π) = 1

Therefore,

sin2πcos(2π-x)+sin(2π-x)cos2π

= sin(2π-x)

As we know that, sin(2π-x) = -sinx

Hence, sin(4π-x) = -sinx

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Arithmetic sequences are those in which the difference between each subsequent phrase is a fixed number. This is shown by writing the equation for a line as y = mx+c, where m denotes the slope and c the y-intercept.

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Answer:

I would say 6 sets

Step-by-step explanation:

Mystery = 5  |  Romance = 8

0                        5

1                         4

2                        3

3                        2

4                        1

5                        0

each time she picks out 5 novels. There is only 5 mystery novels so you cant go past that

....but that's just me personally

Answer:

Step-by-step explanation:

560

Answer:

This equation involves three variables: a, b, and c. Each variable is multiplied by a coefficient and then added together to equal a constant. To solve the equation, we must first determine what the value of the three variables are. To do this, we must use the coefficients to isolate each variable. We can start by isolating c. Divide both sides of the equation by 4 to get 2a + 9b = c. Now we can isolate b by subtracting 2a from both sides to get 9b = c - 2a. Divide both sides by 9 to get b = (c - 2a)/9. Finally, we can isolate a by subtracting 9b from both sides to get 2a = 4c - 9b. Divide both sides by 2 to get a = (4c - 9b)/2. Once we have the values of the three variables, we can substitute them into the original equation to check our work.

Step-by-step explanation:

Answer:

a=\frac{4c-9b}{2}

Answer:

slope = (-8/3)

Step-by-step explanation:

Point 1: (1, 4); Point 2: (4, -4)

           (x₁, y₁)              (x₂, y₂)

y₂ - y₁        -4 - 4          -8

----------- = ----------- = --------

x₂ - x₁         4 - 1           3

I hope this helps!

The decimal that is represented by the shaded portion of the model is 0.45

Suppose that the number is abcd.efg and belongs to the decimal numerical system.

Remember one thing that the place on the left of decimal point is called ones. Move one-one places to right, and divide by 10 and 10 more and more.

Move one-one places to left, and multiply (un-divide) by 10 and 10 more and more.

We are given In the model, a hundreds grid represents 1 whole.

Since 45 out of the 100 squares are shaded,

This means the fraction would be 45/100

45/100 = 0.45.

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The equation 2x + 2y = -6 in the form of y = mx + b is y = -x - 3.

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

2x + 2y = -6

Subtract 2x on both sides.

2y = -6 - 2x

Divide both sides by 2.

y = -3 - x

y = -x - 3

This is in the form of y = mx + b

Now,

m = -1 and b = -3.

Thus,

y = -x - 3 is the equation.

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The equation of the circle in standard form is  ( x-h )2 + ( y-k)2 = r2. we can get the equation by putting the values of x coordinates and y coordinates of the circle.

A circle can be defined as a 2-D closed geometrical shape whose boundary points are at an equal distance from the center of the geometry.

Equation of the circle in standard form is,

( x-h )2 + ( y-k)2 = r2

we have to find the  the x-coordinate (h) & y-coordinate (k) of the center of the circle by taking the summation of x-coordinates & y-coordinates of the endpoints of the diameter respectively and dividing by 2.

here, h = ( x1 + x2 ) / 2

         k = ( y1 + y2 ) / 2

here endpoints of a diameter are at (-5,-5) and (7,2). Calculate the distance between  (-5,-5) and (7,2) using the distance formula and divide by 2 to get the circle's radius. Substitute the center coordinates and radius into a standard form to get the equation of the circle.

so, h = -5 + 7 / 2 = 1

     k = -5 + 2 / 2 = -3/2

Putting all the values we get the equation of circle in standard form.

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Answer:

third side = 3

Step-by-step explanation:

using Pythagoras' identity in the right triangle.

the square on the hypotenuse is equal to the sum of the squares on the other 2 sides.

let the third side be x , then

x² + 4² = 5²

x² + 16 = 25 ( subtract 16 from both sides )

x² = 9 ( take square root of both sides )

x = [tex]\sqrt{9}[/tex] = 3

answer

the dot will be shaded and the line goes to the positive part because x is more than or equal to 3

Answer:

Step-by-step explanation:

a) John spent $30 on clothes and $12 on food, so he spent $18 more on clothes than on food.

b) He spent 150% more on clothes than on food.

The area of the quarter of the circle is 78.50 squared centimeters.

A circle is a 2 dimensional plane shape that is bounded by a curve. Its area can be determined by;

area of a circle = [tex]\pi r^{2}[/tex]

where r is the value of the radius of the circle.

The radius of a circle is given as the half of its diameter.

Thus, a quarter of a circle is the 4th part of a given circle. This implies of fraction selected when a circle is divided into 4 equal part.

So that;

area of quarter of a circle = area of a circle/ 4

                                          = [tex]\pi r^{2}[/tex]/ 4

The area of quarter of then given circle = ((22/7)*(10)^2)/ 4

                                                       = 78.50 squared centimeters

Therefore, the answer to the area of the quarter circle was found as explained above.

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rate of change for this linear equation, y = 5x - 1 is +5

the initial value of the linear equation, y = 5x + 2 is +2.

A linear equation is an algebraic equation of the form y = mx+c, where m is the slope and c is the y-intercept, and only a constant and a first-order (linear) component are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables." If a linear equation contains two variables, it is referred to as a linear equation in two variables, and so on.

Non-linear equations are those that do not produce a straight line. It has a changeable slope value and resembles a graphed curve.

Given that,

y = 5x - 1 is a linear equation.

As we know, when linear equation is in the form of y = mx + c, here m is the slope or the rate of change, and c is the Y-axis intercept, or value of y when x is zero, or initial value.

Therefore, for the given equation, rate of change is 5 and initial value is -1.

Given that,

y = 5x + 2

is a linear equation.

As we know, when linear equation is in the form of y = mx + c, here m is the slope or the rate of change, and c is the Y-axis intercept, or value of y when x is zero, or initial value.

Therefore, for the given equation, rate of change is 5 and initial value is + 2.

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The value of y is 15 and angle is 68°

A triangle is a polygon with three edges and three vertices.

Given that, a triangle KLM

We have, KL = MK

We know that, In a triangle, sides opposite to equal angles are equal, therefore,

∠ M ≅ ∠ L

5y-19 = 56

5y = 75

y = 15

We know, Angle sum property of triangle states that the sum of interior angles of a triangle is 180°.

∠ M + ∠ L + ∠ K = 180°

56° + 56° + ∠ K = 180°

∠ K = 180° - 112°

∠ K = 68°

Hence, the answers are; ∠ K = 68° and y = 15

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Answer: To find the length of an object in a scale drawing, you need to use the scale to convert the length on the drawing (measured in inches) to the actual length (measured in feet).

The scale of the drawing is given as 0.5 inches = 10 feet, which means that 1 inch on the drawing represents 10 feet in reality.

So, if the length of the object on the scale drawing is L inches, then the actual length of the object in feet would be:

Length (ft) = (Length (in) * 10 ft/0.5 in) = (L*20)

To find the actual length of the object in feet, you need to know the length of the object in inches from the scale drawing.

Once you have that measurement, you could then simply multiply it by 20.

Step-by-step explanation:

Yes, the lines intersect at the point (5, -2) so it is the solution to the system.

Now, According to the question:

Let's know:

Solution to a System of Linear Equations:-

A system of linear equations consists of the equations of two lines. The solution to a system of linear equations is the point which lies on both lines. In other words, the solution is the point where the two lines intersect. To verify whether a point is a solution to a system or not, we will either determine whether it is the point of intersection of two lines on a graph or we will determine whether or not the point lies on both lines algebraically.

Let's determine whether the given points are a solution to the systems of equations below.

Is the point (5, -2) the solution of the system of linear equations shown in the graph below?

Yes, the lines intersect at the point (5, -2) so it is the solution to the system.

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The locations of A' and B' are A' (0, 6) and B' (6, 0); lines f and f' are parallel.

To explain this using a formula, we can use the dilation formula. This formula states that for any point (x,y) on the original line (f), when dilated with a scale factor of k and the center of dilation is the origin (0,0), the coordinates of the point on the new line (f') would be (kx, ky).

For point A, which has coordinates (2,0) on line f, when dilated with a scale factor of 3 and the center of dilation being the origin, the coordinates of point A' on line f' would be (3 * 2, 3 * 0) = (6, 0).

Similarly, for point B, which has coordinates (0,2) on line f, when dilated with a scale factor of 3 and the center of dilation being the origin, the coordinates of point B' on line f' would be (3 * 0, 3 * 2) = (0, 6).

Since the two lines have the same slope, line f and line f' are parallel.

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The scientific notation to express the mass of 60 cows is 2.46 × 10⁴ kg. It is determined after multiplying the mass of one cow by the number of cows.

Scientific notation is a way of expressing very small or very large numbers in a simpler form.

In scientific notation, the number is written as

a.b × 10ⁿ

Where

If the mass of one cow is 410 kg, find the mass of 60 cows in scientific notation!

The mass of 60 cows would be

= number of cows × mass of one cow

= 60 × 410 kg

= 24,600 kg

In scientific notation, it is

24,600 kg = 2.46 × 10,000

24,600 kg = 2.46 × 10⁴ kg

Hence, the mass of 60 cows in scientific notation is 2.46 × 10⁴ kg.

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As a result, the provided problem of tractable problem has the following outcome: As a result, a problem is said to be tractable if a polynomial-time algorithm exists to solve it.

An algorithm that can solve a tractable problem in a polynomial amount of time. Polynomial describes the upper bound. An intractable problem is one that cannot be resolved in a polynomial amount of time. Exponential is the lower bound.

Here,

Tractable refers to "manageable," hence the word is used to indicate issues that can be resolved in a reasonable amount of time.

This leads to the definition of a problem as tractable as the existence of a polynomial-time algorithm that can solve it.

Unabating: Intractable. As an illustration, intractable pain and intractable diarrhea are both conditions that are untreatable despite the use of medication.

As a result, the provided problem of tractable problem has the following outcome: As a result, a problem is said to be tractable if a polynomial-time algorithm exists to solve it.

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Answer:

24 + x + 24

X is 0

Answer: substract 24 from both sides

then x = 0

Step-by-step explanation:

Simplifying

0.75x + 1.2 = 0

Reorder the terms:

1.2 + 0.75x = 0

Solving

1.2 + 0.75x = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1.2' to each side of the equation.

1.2 + -1.2 + 0.75x = 0 + -1.2

Combine like terms: 1.2 + -1.2 = 0.0

0.0 + 0.75x = 0 + -1.2

0.75x = 0 + -1.2

Combine like terms: 0 + -1.2 = -1.2

0.75x = -1.2

Divide each side by '0.75'.

x = -1.6

Monomial, binomial, and trinomial expressions are all categorized by the number of terms they include.

A polynomial is a mathematical statement made up of coefficients and indeterminates that uses only the operations addition, subtraction, multiplication, and powers of positive integers of the variables.

An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial (No division operation by a variable).

A polynomial with one term is called a monomial. A polynomial having two dissimilar terms is called a binomial. An algebraic expression having three terms is called a trinomial.

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Answer:

5

Step-by-step explanation:

[tex]\frac{7}{4}+\frac{1}{4}+\frac{5}{3}+\frac{1}{3}+\frac{1}{2}+\frac{1}{2}\\\\ =\frac{8}{4}+\frac{6}{3}+\frac{2}{2}\\ \\ =2+2+1\\ \\ =5[/tex]

Answer:

To draw an isosceles acute triangle, the first step is to draw a line segment horizontally which will be the base of the triangle.

Step-by-step explanation:

Now, draw two angles of equal measurements (each should be less than 90 degrees) on both the ends of the line segment. Join the arms of the angles. In this way, we will get an acute isosceles triangle.

Answer:

-4 and 12 are the zeros of the quadratic.

Step-by-step explanation:

What value does X need to be so (x+4) is 0? -4

What value does X need to be so (x-12) is 0? 12

Answer:

  1056

Step-by-step explanation:

You want the product of the LCM and the GCF of 22 and 48.

One way to find the LCM of two numbers is to start with their product, then divide out the extra factor:

  LCM(A, B) = (A×B)/GCF(A, B)

Since we want the product of the LCM and the GCF, we can start with this and multiply by the GCF:

  LCM(A, B) · GCF(A, B) = ((A×B)/GCF(A, B)) · GCF(A, B)

  LCM(A, B) · GCF(A, B) = A×B

Using this for the given numbers, we get ...

  LCM(22, 48)·GCF(22, 48) = 22·48 = 1056

__

Additional comment

If you want to go to the trouble of finding the LCM and GCF, you get ...

  22 = 2·11

  48 = 2·24

  LCM(22, 48) = 2·11·24 = 528

  GCF(22, 48) = 2

  LCM·GCF = 2·528 = 1056

The residue from $0 to $82 is 44 ≡ x(mod83)

17−1≡x(mod83)

17∗17−1≡17x(mod83)      

5∗1≡5∗17=85(mod83)

5≡2x(mod83)

42∗5=210≡2∗42x=84x≡x(mod83)

44 ≡ x(mod83).

A mathematical operations that performs a calculation on two numbers is known as an arithmetic provider. They are used in everyday arithmetic, and most computer languages include a set of such operators that can be used within equations to perform a variety of sequential calculations. The following are examples of basic arithmetic operations are:

(+) Addition

Subtraction (-) (-)

() Multiplication            

() division

In programming, computers use different symbols to represent multiplication (*) and division (/). More complex operators, such as

Let's look at an ice cream multiplication example.              

There are two  groups, each has its own ice cream.

The total number of ice creams is 2x3=6    

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The rotation about the center that can map an equilateral triangle onto itself is C. 120 degrees.

There are three equal sides and angles in an equilateral triangle which is 60 degrees each. This means that an equilateral triangle can be divided into  three-axis of symmetry such that there are three lines dividing the triangle.

Should this happen, then the angle to rotate the triangle and map it onto itself would be 120 degrees as each of these axes of symmetry measure 120 degrees.

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Answer:

The total profit made when a person buys an item for $2.25 and then sells the item for $2.25.

Step-by-step explanation:

The item is bought for $2.25 and sold for the same rate. There is no profit.

        Final value is 0.

Answer:

the answer is 28

Step-by-step explanation:

Maeda scored 24 points and if 4 less then jill

x is variable

x-4=24 add 4 on both sides

x=28