Question in photo. The x and y entered are not correct but the equations are, I just don't know what to do after finding them

Answer:

2300000

Step-by-step explanation:

Answer:

the 45 tickets

Step-by-step explanation:

In the 20 tickets deal, you'll spend USD 1.333333333333333 per ticket; in the 45 tickets deal, you pay USD 0.6 per ticket.

Step-by-step explanation:

The data displayed below is numerical data.

Tally Chart:

10 |

19 |

17 |

14 |

11 |

18 |

16 |

17 |

18 |

15 |

13 |

12 |

14 |

15 |

16 |

18 |

19 |

20 |

16 |

15 |

11 |

10 |

15 |

20 |

12 |

14 |

Note: The above tally chart is just a representation of the data, the actual tally chart should be made on paper with tally marks.

The diameters is 49​ be the circumference of the circle is 154 cm.

When it comes to geometry, a circle's or ellipse's circumference is its perimeter. In other words, the circumference would be the length of the circle's arc if it were opened out and straightened out to a line segment. The radius surrounding any closed figure is known as its perimeter more generally.

The distance in a straight line around a circle is known as its circumference. Or, to put it another way, the circumference of a circle is the length of a straight line formed by opening up the circle.

A circle's perimeter is referred to as its circumference. By calculating the length it would take to walk around the world, we may determine the size of the earth.

Given : Diameter of the circle [tex]$=49 \mathrm{~cm}$[/tex] and value of [tex]$\pi=\frac{22}{7}$[/tex]

The circumference of the circle is given by [tex]$C=2 \pi r$[/tex] or in the form of a diameter the circumference of the circle is [tex]$C=\pi d$[/tex]

Now, we have given [tex]$\mathrm{d}=49 \mathrm{~cm}$[/tex] and value of [tex]$\pi=\frac{22}{7}$[/tex]

Substitute the value in the formula,

[tex]$& C=\pi d \\[/tex]

substitute the values in the above equation, we get

[tex]$& C=\frac{22}{7} \times 49 \\[/tex]

simplifying the equation, we get

C = 22 × 7

C = 154 cm

Therefore, the circumference of the circle is 154 cm.

The complete question is:

Find the circumference of circle whose diameter is 49cm, pi = 22 by 7

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The value of the equation from binomial expansion is

a) A = 81x⁴ + 108x³y + 54x²y² + 12xy³ + y⁴

b) B = x⁶ - 12x⁵y + 60x⁴y² - 160x³y³ + 240x²y⁴ - 192xy⁵ + 64y⁶

The general term of the binomial expansion is Tr+1 = nCr x^n-r y^r . Here the coefficient values are found from the pascals triangle or using the combinations formula, and the sum of the exponents of both the terms in the general term is equal to n.

( x + y )ⁿ = ⁿCₐ ( x )ⁿ⁻ᵃ ( y )ᵃ

Given data ,

Let the equation be represented as A

Now , the value of A is

a)

A = ( 3x + y )⁴

On simplifying the equation , we get

From binomial expansion , ( x + y )ⁿ = ⁿCₐ ( x )ⁿ⁻ᵃ ( y )ᵃ

Substituting the values in the equation , we get

( 3x + y )⁴ = ⁴C₀ ( 3x )⁴ ( y )⁰ + ⁴C₁ ( 3x )³ ( y ) + ⁴C₂ ( 3x )² ( y )² + ⁴C₃ ( 3x ) ( y )³ + ⁴C₄ ( 3x )⁰ ( y )⁴

On further simplification , we get

( 3x + y )⁴ = 81x⁴ + 108x³y + 54x²y² + 12xy³ + y⁴

Hence , the equation is A = 81x⁴ + 108x³y + 54x²y² + 12xy³ + y⁴

b)

B = ( x - 2y )⁶

On simplifying the equation , we get

From binomial expansion , ( x + y )ⁿ = ⁿCₐ ( x )ⁿ⁻ᵃ ( y )ᵃ

Substituting the values in the equation , we get

( x - 2y )⁶ = ⁶C₀ ( x )⁶ ( -2y )⁰ + ⁶C₁ ( x )⁵ ( -2y ) + ⁶C₂ ( x )⁴ ( -2y )² + ⁶C₃( x )³(-2y)³ + ⁶C₄ ( x )² ( -2y )⁴ + ⁶C₅ ( x )¹ ( -2y )⁵ + ⁶C₆ ( x )⁰ ( -2y )⁶

On further simplification , we get

( x - 2y )⁶ = x⁶ - 12x⁵y + 60x⁴y² - 160x³y³ + 240x²y⁴ - 192xy⁵ + 64y⁶

Hence , the equation is

B = x⁶ - 12x⁵y + 60x⁴y² - 160x³y³ + 240x²y⁴ - 192xy⁵ + 64y⁶

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Number of ml of 40% sugar = x = 1000mL

Number of ml of 85% sugar used = y = 800mL

A general rule is that the algebraic expression should take any of the following forms: addition, subtraction, multiplication, and division. Bring the variable to the left side and the other values to the right side in order to find the value of x. To determine the answer, simplify the values.

Let the number of ml of 40% sugar be x and 85% sugar used be y

System of equations is given as:

x + y = 1800mL ....... (1)

x = 1800 - y

40% × x + 85% × y = 60% × 1800mL

0.4x + 0.85y = 1080.... (2)

We substitute 1800 - y for x in (2)

0.4(1800 - y) + 0.85y = 1080

simplifying the above equation, we get

720 - 0.4y + 0.85y = 1080

- 0.4y + 0.85y = 1080 - 720

0.45y = 360

y = 360/0.45

y = 800mL

Solving for x

x = 1800 - y

substitute the value of y in the above equation, we get

x = 1800 - 800

x = 1000mL

Therefore, the number of ml of 40% sugar = x = 1000mL

Number of ml of 85% sugar used = y = 800mL.

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Answer:96

Step-by-step explanation:36-8(-3)=9

The equation ||αu v||^2 = α^2 ||u||^2 ||v||^2 does not hold in general.

Therefore the answer is False.

The left side of the equation is the square of the Euclidean norm of the product of a scalar and two vectors, which is ||αu v||^2 = (αu)^T (αu) = α^2 u^T u v^T v = α^2 ||u||^2 ||v||^2. The Euclidean norm, also known as the L2 norm, is a measure of the magnitude of a vector in a multi-dimensional space. It is defined as the square root of the sum of the squares of the vector's components.

The right side of the equation is the product of the squares of the norms of two vectors, which is not equal to the square of the norm of their product in general.

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The time when the projectile has an instantaneous velocity of zero is a = 10 seconds.

The instantaneous velocity of a projectile at time t can be found by taking the derivative of its position function with respect to time. The velocity function is given by:

v(t) = ds(t)/dt = -32t + 320

The time at which the projectile has an instantaneous velocity of zero is when the velocity function is equal to 0. We can find this time by solving the equation:

-32t + 320 = 0

32t = 320

t = 10

Therefore, the time at which the projectile has an instantaneous velocity of zero is a = 10.

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--The given question is incomplete; the complete question is

"A projectile is fired vertically upward and has a position given by s(t) = -16T^2+320t+336 for 0 ≤ t ≤ 21.

Identify the time at which the projectile has an instantaneous velocity of zero; call this time = a."--

The level curve for the function z(x, y) = y²x², at the value c = 115 are the points that satisfy the equations y = (√115)/x and y = -(√115)/x .

The Level Curves of a function z(x,y) at a constant value "c" are defined as the set of points (x,y) where z(x,y) = c.

So, to find the level curves of z(x,y) = y²x² at the indicated value of c = 115, we need to solve the equation y²x² = 115 for x and y.

Starting with y²x² = 115,

Simplifying ,

we get ;

⇒ y² = 115/x²

Taking the square root(√) of both sides:

that means ⇒ |y| = sqrt(115/x²) ;

Since y can be either positive or negative, we have two equations:

⇒ y = sqrt(115/x²)     ⇒  y = -sqrt(115/x²)

⇒ y = (√115)/x          ⇒  y = -(√115)/x .

Therefore , the level curve for c = 115 is the set of points that satisfy either of these two equations.

The given question is incomplete , the complete question is

Find the level curves of each function at the indicated value of c to visualize the given function.     z(x, y) = y²x², c = 115  .

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The value of y if (1, y, −9) is perpendicular to vector v is  38/5.

Given vector v = 2i - 5j - 4k and vector c = 1i + yj - 9k

In the question, we are told that we need to find y if vector v and vector c are perpendicular. So, if two vectors are perpendicular their dot product is zero

So,  vector v.vector c = 0

(2i - 5j - 4k ).(i + yj - 9k)  = 0

                    2(1) - 5(y) - 4(-9) = 0

                           2 - 5y + 36 = 0

                                    5y = 38

                                      y = 38/5

Hence, the value of y is 38/5.

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Answer:

[tex]\boxed{m \angle CAB =99^{\circ}}[/tex]

Step-by-step explanation:

We can use the law of cosines to determine measure of ∠CAB

If a, b and c are the three sides of a triangle and C is the angle opposite side c then the law of cosines says
c² = a² + b² - 2ab cos(C)

Here we are asked to find m∠CAB

The side opposite ∠CAB is BC which is 23 cm long. This is c in the formula

The other two sides, a and b are 13 cm and 17 cm

Applying the formula, using C to represent m∠CAB

[tex]23^2=\:13^2+\:17^2-\:2\:\cdot 13\cdot 17\cdot \cos \left(C\right)[/tex]

First switch sides:
[tex]13^2+17^2-2\cdot \:13\cdot \:17\cos \left(C\right)=23^2[/tex]

[tex]\rightarrow 69+289-442\cos \left(C\right)=529\\\\\rightarrow 458 -4 42\cos \left(C\right) = 529\\[/tex]

[tex]\rightarrow -442\cos \left(C\right) = 529-458\\\\\rightarrow -442\cos \left(C\right) = 71\\\\[/tex]

[tex]\rightarrow \cos \left(C\right)=-\dfrac{71}{442}\\\\\rightarrow \cos \left(C\right) = - 0.16063\\\\[/tex]

[tex]\rightarrow C = \cos^{-1} (-0.16063)[/tex]

[tex]\rightarrow C = 99.2437^{\circ}[/tex]

Rounded to the nearest integer, this would become

[tex]\rightarrow C = \boxed{99^{\circ}}[/tex]

The following equation is m=d-10+k×i represent the total amount in account(m) in dollar.

Although the question does not specify the options, but I have specified my answer as follows:

Given:

The equation representing the total amount in the account, m, when starting with d dollars and being charged a 10$ fee.

Account Opening Charges: $10

Starting amount: $d

The total amount in the account: $m

Let us say the depositor deposits an amount $k for 'i' number of months

Banks deduct their charges from the account balance itself, hence account opening charges are deducted from the bank balance.

I have assumed an amount $k invested every month. You can remove that term as per the requirement of the question.

The total amount at a point in time = starting amount - Account Opening Charges + monthly deposit till that time

⇒m=d-10+k×i

This equation shows that the total amount in the account will be equal to the initial deposit minus the fee charged by the bank.

Therefore, the following equation is m=d-10+k×i.

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According to the scatter plot below, when x = 5, the value of y is 1.

A scatter plot is a form of plot or mathematical diagram that displays values for two variables for a collection of data using Cartesian coordinates. One more variable can be presented if the points are programmed. A scatter plot is a collection of dots drawn on two axes, horizontal and vertical. Scatter plots are useful in statistics because they illustrate the amount, if any, of correlation between the values of observed quantities or events (called variables). With a particular confidence interval, a scatter plot might imply several types of relationships between variables. Weight and height, for example, would be on the y-axis, whereas height would be on the x-axis. Positive (increasing), negative (falling), or null correlations exist (uncorrelated).

Here,

Based on the scatter plot below, when x=5 then value of y is 1.

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This might be written as x2-25x-2200 = 0, since the park's area is 2200 m2, and its length is.xm.

A rectangle is a polygon with four direction perpendicular in Euclidean plane geometry. You may also refer to it as an equiangular quadrilateral, meaning that every one of its vertices are equal. A straight angle may also present in the parallelogram. Rectangles with four evenly sized sides are called squares. Four 90º vertices and equivalent parallel sides make up a quadrilateral with the characteristics of a rectangle. As a result, it's also known as a georeferencing rectangle. A rectangle is also referred to as a parallelogram since its separate angles are parallel and equal.

given

Park's rectangular length is x meters.

Park width is equal to (x-25)m since width is 25 m shorter than length.

The park has a 2200 m2 area.

Rectangle's area is known to be length times breadth.

Therefore;

x*(x-25)=2200 about division x²-25x = 2200

This might be written as x2-25x-2200 = 0, since the park's area is 2200 m2, and its length is.xm.

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Word problem with steps for linear equation is given below.

An equation containing variables with its highest power as one is called linear equation.

Question:

Mother is as five times as old as daughter. After 3 years, the mother will be four four times as old as her daughter. What are their present age?

Solution

Let x  represents the age  daughter.

Mother is as five times as old as daughter. i.e., 5x

After 3 years, the mother will be four four times as old as her daughter.

⇒5x+3=4(x+3)

5x+3=4x+12

⇒5x-4x=12-3

⇒x=9.

Their present age of daughter is 9 and mother is 5*9=45.

Hence, present age of mother and daughter is 45 and 9 respectively.

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Answer: Graph A is your answer

Step-by-step explanation:

Graph A becuase since it makes the same bobble-heads each hour and in 2 hours it made 120 then it makes 60 an hour. So 60x5 is 300 so Graph shows the relationship between the amount of time the machine runs and the number of bobble-head toys built.

Answer: x/4+2=5

Step-by-step explanation:

The number which describes the average change in weight per day of Ignacio is equal to 0.4 pounds per day.

Number of days Ignacio done the dieting is equal to 30 days

Total weight lost by Ignacio in 30 days = 12 pounds

Let 'x' be the change in weight per day of Ignacio after dieting.

Weight lost in 30 days = 12 pounds

Average weight change per day is:

⇒ 1 day = ( 12 / 30 )  pounds per day

⇒ 1 day = ( 2/ 5 ) pounds per day

⇒ 1 day = ( 0.4 ) pounds per day

Therefore, the average weight change per day by Ignacio is equal to 0.4pounds per day.

The above question is incomplete, the complete question is:

Write a numerical statement to represent the problem. Then simplify the numerical expression to answer the question. After dieting for 30 day, Ignacio has lost 12 pound. What number describe his average weight change per day?

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The system of equations has at least one solution if the determinant of the coefficient matrix is not equal to zero.

A system of linear equations is a set of two or more linear equations with the same variables. These equations can be solved to find the values of the variables that satisfy all the equations simultaneously.

In this problem, we have a system of three linear equations: x + 2y + 3z = a, 4x + 5y + 6z = b, and 7x + 8y + 9z = c.

The goal is to find all the points (a, b, c) in space for which the system has at least one solution.

To find the points (a, b, c) in space, we need to find out if the system of equations is consistent or inconsistent. If the system is consistent, it means that there exists at least one solution to the system of equations.

This can be determined by finding the determinant of the coefficient matrix, which is the matrix formed by the coefficients of the variables in the system of equations.

If the determinant is not equal to zero, then the system is consistent, and it has at least one solution.

This means that the points (a, b, c) in space are those for which the system of equations is consistent and has a solution.

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Answer:

-2.25n + 18

Step-by-step explanation:

- 4 1/2 ( - 2.5n + 3n - 4 )

4 1/2 = 9/2

-9/2 (-2.5n + 3n - 4)

-9/2(0.5n - 4)

-2.25n + 18

Answer:

hundreds

Step-by-step explanation:

The total thickness of the shim when they are stacked up under one corner to its base to level it is 1.075 inch.

The smallest of an object's three descriptive dimensions—height, breadth, and length—is referred to as thickness. If a rectangular prism's volume and one side's area are known, you may use those two figures to determine the thickness of the prism. For instance, you can determine the thickness of the cement slab that forms your driveway if you know its volume and the size of its surface area. Simply ensure that the object's area and volume are given in the same units of measure.

There are four shim stock under one corner of its base,

0.25 inch, 0.75 inch, 0.065 inch, and 0.010 inch in thickness

So total thickness be,

0.25 + 0.75 + 0.065 + 0.010

= 1.075 inches.

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Answer:

I think the y= (-7)

The area of the shaded shape is 60 [tex]m^{2}[/tex].

This question uses the area formula for rectangles, which states that the area of a rectangle is equal to its length multiplied by its width.

The formula for the area of a rectangle is A = lw, where l is the length of the rectangle and w is the width of the rectangle

To work out the area of the shaded shape, we need to calculate the area of the rectangle (5m x 12m) and subtract the area of the smaller rectangle (8m x 9m).

The area of the rectangle = 5m x 12m = 60[tex]m^{2}[/tex]

The area of the small rectangle = 8m x 9m = 72[tex]m^{2}[/tex]

Therefore, the area of the shaded shape = 60[tex]m^{2}[/tex] - 72[tex]m^{2}[/tex] = -12[tex]m^{2}[/tex]

The answer is 60[tex]m^{2}[/tex].

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Answer:

j(x) = f(g(x)) = f(0.25x) = 0.75x - 5

Answer:

3:10

Step-by-step explanation:

In order to find the ratio of red to green sweets, we first need to find the ratio of yellow to green sweets. We know that the ratio of yellow to green is 1:5 and we also know that the ratio of red to yellow is 3:2.

We can use this information to find the ratio of red to green by cross-multiplying the ratio of red to yellow and the ratio of yellow to green.

So (3:2) x (1:5) = (3:10)

This means the ratio of red to green is 3:10.

Alternatively, we can find the ratio of red to green by using the following formula:

(red:yellow) x (yellow:green) = (red:green)

So (3:2) x (1:5) = (3:10)

The ratio of red to green is 3:10.

Answer:

Step-by-step explanation:

The ratio of red : yellow = 3:2 and yellow:green = 1:5

So, the ratio of red : yellow : green = 3:2:5

To find the ratio of red: green, we can find the ratio of red : yellow : green and then divide the red and green portions.

So, the ratio of red: green = (3/(3+2+5)) : (5/(3+2+5)) = 3/10 : 5/10 = 3:5

The increase in driver's altitude will be 283 feet based on the mentioned angle of elevation and distance travelled.

The road will represent hypotenuse and the altitude will represent the height of the triangle. Based on this, the formula to be used for calculation is -

sin theta = perpendicular ÷ hypotenuse, where theta is the angle of elevation.

sin 3° = altitude ÷ 5403

Rewriting the equation

Altitude = sin 3 × 5403

Keep the value of sine angle

Altitude = 0.05 × 5403

Performing multiplication

Altitude = 282.7 feet

Rounding off we get = 283 feet.

Thus, the altitude will be 283 feet.

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Answer:

first car: 25 gallons

second car: 40 gallons

Step-by-step explanation:

1) 35 miles/gallon                           consumption=distance/volume

2) 40 miles/gallon                           distance=consumption*volume

2475 miles = d1 + d2

                   = 35*v1    +   40*v2

v1 + v2 = 65

v2 = 65 - v1  

2475 = 35*v1 + 40*(65 - v1)

2475 = 35*v1 + 2600 - 40*v1  /-2600

-125 = -5*v1

v1 = 25 gallons

v2 = 65 - v1

v2 = 40 gallons