-6+2u≤2 ?????????????????

Considering the linear function y = 145 + 30x, it is found that:

a. The terms of the equation are given as follows:

b. The domain of the function is:

The set of all integers between 0 and 5.

c. The domain is discrete.

d. The graph is given by the image at the end of the answer.

The slope-intercept representation of a linear function is shown below:

y = mx + b

The coefficients of the function and their meaning are described as follows:

In the context of this problem, the function is:

y = 145 + 30x.

Meaning that the intercept is of 145 and the slope is of 30.

The domain is the set of all possible values assumed by the input x of the function, which is the number of bags. At most 5 bags are permitted, hence the domain is:

The set of all integers between 0 and 5.

The number of bags assumes only integer values, hence the domain is a discrete one, and the graph is shown at the end of the answer.

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The relationship between the base of the cone and the angle of the plane that intersects the cone is that the plane must be at a 45 degree angle to the base of the cone. Thus, Option D is correct.

According to the statement

we have given that the to form a ellipse we use the base and angle of the cone, And we have to tell the relationship between them.

So, For this purpose, We know that the

An ellipse is a plane curve surrounding two focal points, such that for all points on the curve, the sum of the two distances to the focal points is a constant.

And to make a ellipse the relationship between the base of triangle and the angle of the cone is that the

The plane must be at a 45 degree angle to the base of the cone.

By this way we make a ellipse with the help of the cone.

So, The relationship between the base of the cone and the angle of the plane that intersects the cone is that the plane must be at a 45 degree angle to the base of the cone. Thus, Option D is correct.

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Disclaimer: This question was incomplete. Please find the full content below.

Question:

To form an ellipse, what is the relationship between the base of the cone and the angle of the plane that intersects the cone?

A. The plane is parallel to the base of the cone..

B. The plane may be perpendicular to the base of the cone..

C. The plane is at an angle that is neither parallel nor perpendicular to the base of the cone.

D. The plane must be at a  angle to the base of the cone.

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Answer:

The plane is at an angle that is neither parallel nor perpendicular to the base of the cone.

Step-by-step explanation:

The plane doesn't need to be at an exact angle of 45 degrees. The most important thing is that the angle isn't parallel or perpendicular to the base of the cone, but it has to be non-zero without intersecting the base itself. It also only intersects one of the cones when looking at a double-cone.

Expected rate of return = 94.3%

Inflation rate is the rate of increase of prices of goods with the time being. It is also called devaluation of money. Risk free rate of return is an investment where possibility of risk is zero.

given, real risk-free rate = 2.5% = 0.025

the future rate of inflation = 2.8% = 0.028

nominal risk-free rate = (1 + real risk-free rate) / (1 + inflation rate)

nominal risk-free rate = (1+ 0.025) / (1 + 0.028) = 0.9971

now, rate of return = [(1 + nominal risk-free rate) / (1 + inflation rate)] - 1

 rate of return expected = [(1 + 0.9971) / (1 + 0.028)] - 1

                                      = 0.943

expected rate of return = 94.3 %

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The answers to the questions involving trigonometry are: 90, BC/AB ÷ BC/AB = 1, g = 6.5, <I = 62 degrees, h= 13.8, 12.0, x = 6.8, x = 66.4, 160.6, The pole = 6.7

Trigonometric ratios are special measurements of a right triangle, defined as the ratios of the sides of a right-angled triangle.  There are three common trigonometric ratios: sine, cosine, and tangent

For page 3 question 3,

a) <A + <B = 90 since <C = right angle

b) SinA = BC/AB and CosB = BC/AB

The ratio of the two angles BC/AB ÷ BC/AB = 1

I notice that the ratio of sinA and cosB gives 1

b) The ratio of CosA and SinB will give

BC/AB ÷ BC/AB

= BC/AB * AB/BC = 1

For page 5 number 3

Tan28 = g/i

g/12.2 = tan28

cross multiplying to have

g = 12.2*tan28

g = 12.2 * 0.5317

g = 6.5

b) the angle I is given as 90-28 degrees

<I = 62 degrees

To find the side h we use the Pythagoras theorem

h² = (12.2)² + (6.5)²

h² = 148.84 +42.25

h²= 191.09

h=√191.09

h= 13.8

For page 6

1) Sin42 = x/18

x=18*sin42

x = 18*0.6691

x = 12.0

2) cos28 = 6/x

xcos28 = 6

x = 6/cos28

x [= 6/0.8829

x = 6.8

3)  Tan63 = x/34

x = 34*tan63

x= 34*1.9526

x = 66.4

4) Sin50 123/x

xsin50 = 123

x = 123/sin50

x = 123/0.7660

x =160.6

5)  Sin57 = P/8

Pole = 8sin57

the pole = 8*0.8387

The pole = 6.7

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Answer:

(3, 6)

Step-by-step explanation:

(x1, y1) and (x2, y2)

x2 - x1, y2 - y1

(x*, x*)

(2, 1) and (5, 7)

5 - 2, 7 - 1

(3, 6)

The real GDP for country A in 2004 prices was 260.87 billion.

To calculate the real GDP in 2004 prices, we need to use the formula: real GDP = nominal GDP x Deflator. Given that the nominal GDP in 2005 for country A was 300 billion and the deflator against 2004 prices was 1.15, we can substitute these values into the formula.

Real GDP = 300 billion x 1.15 = 345 billion. However, since we want to find the real GDP in 2004 prices, we need to adjust it. To do that, we divide the calculated real GDP by the deflator: 345 billion / 1.15 = 300 billion.

Therefore, the real GDP for country A in 2004 prices is 260.87 billion.

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The correct answer is 15 x + 50 = 300

Explanation:

In an equation, the different values show a specific mathematical relationship, and the equality represented by the symbol (=) is used to find an unknown value. In the case presented, the unknown value is the number of months Elizabeth can pay using her $300 gift certificate. This means the letter x in the equation represents the number of months.

Moreover, this x should be multiplied by the month membership or $15 considering Elizabeth will need to pay this fee each month and this should be added to the one-time fee of $50. This implies the first part of the equation is 15x + 50. Finally, this value should be equal to the total money in the certificate or 300. According to this, the equation is 15x + 50 = 300.

The inverse function is used to find the temperature in Celsius,

the temperature in celsius is  -12.22°C and 32.22°C.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows:

Expression: (Math Operator, Number/Variable, Math Operator).

Given expression for temperature calculation

Original function: F =  9/5​C + 32

Inverse function: C = (F − 32)5/9

where C is temp. in Celsius and F is temp. in Fahrenheit,

so when the temperature is given in Fahrenheit we have to use the inverse function formula to calculate the temperature in degree celsius,

because it will be easy to calculate.

temperature = 10°F

C = (F − 32)5/9

C = (10 - 32)5/9

C = -22 x 5/9

C =  -12.22°C

when temperature = 90°F

C = (90 - 32)5/9

C = 32.22°C

Hence the temperature is  -12.22°C and 32.22°C.

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Given that mean= 6.56 and standard deviation(σ)= 1.19

a) P(X ≤ 5)= ( (X-µ)/ σ) < (5- 6.56)/ 1.19)

                = 0.094946

P(X ≤ 5)= 0.95

So 0.95 proportion of the survey would think $5 is too expensive for a sandwich.

b) P(X ≥ 6.75) = ( (X-µ)/ σ) < (6.75- 6.56)/ 1.19)

                      = 0.43656

0.43656 proportion of people surveyed would be willing to pay more than $6.75 for a sandwich.

c)  P(X ≤ x)= 0.35

                 = P((x- µ)/ σ ≤ (x- 6.65)/ 1.19)

                  0.35

x= (-0.3853) (1.19) + 6.56

 = 6.1015

6.1015  is the 35th percentile for how much people are willing to pay for a sandwich.

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A parallelogram is a quadrilateral with opposite sides that are parallel and equal in length. It has four angles, with each pair of opposite angles being congruent, and its diagonals bisect each other.

To find the length of AC in parallelogram ABCD, we need to use the properties of diagonals.
Given that AE = 2x, BE = 10y, CE = x^2, and DE = 4y - 8.

Since AC is a diagonal, it intersects with diagonal BD at point E. According to the properties of parallelograms, the diagonals of a parallelogram bisect each other.
So, AE = CE and BE = DE.

From AE = CE, we have 2x = x^2.

Solving this equation, we get x^2 - 2x = 0.

Factoring out x, we have x(x - 2) = 0.
So, x = 0 or x - 2 = 0.

Since lengths cannot be zero, we have x = 2.
Now, from BE = DE, we have 10y = 4y - 8.

Solving this equation, we get 6y = 8.
Dividing both sides by 6, we have y = 8/6 = 4/3.

Now that we have the values of x and y, we can find the length of AC.
AC = AE + CE.

Substituting the values, AC = 2x + x^2.
Since x = 2, AC = 2(2) + (2)^2 = 4 + 4 = 8.

Therefore, the length of AC is 8 units.

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Answer:

C) y=-1

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-1-(-1))/(0-4)

m=(-1+1)/-4

m=0/-4

m=0

y-y1=m(x-x1)

y-(-1)=0(x-4)

y+1=0

y=0-1

y=-1

Answer:

no solutions

Step-by-step explanation:

-8x + x + 15 = -7x + 12

Combine terms

-8x + x + 15 = -7x + 12

-7x +15 = -7x +12

Add 7x to each side

15 = 12

This is never true so there are no solutions

Steps to solve:

-8x + x + 15 = -7x + 12

~Combine like terms

-7x + 15 = -7x + 12

~Add 7x to both sides

-7x + 7x + 15 = -7x + 7x + 12

~Simplify

15 = 12

There are no solutions.

Best of Luck!

Volume of the prism with pentagonal shape base will be 392cm^3

which shape is called a pentagonal shape?

The shape having 5 sides is called as pentagonal shape.

What is a Prism?

A prism is a polyhedron with all of its faces flat and its bases parallel to each other. It is a solid item with flat faces, identical ends, and a cross-section that is the same as its length. We have different prisms in Geometry, including triangular prisms, pentagonal prisms, and hexagonal prisms. A prism has a surface area and volume since it is a three-dimensional form.

The overall space occupied by the three-dimensional prism is defined as the volume of a prism. It is defined mathematically as the product of the area of the base and the length or height.

Therefore,

A prism's volume = Base Area * Length/height

So, As shown in figure

Length/height of prism = 8cm

Area of base=area of rectangle(Length*breadth) + area of trapezium(1/2*(sum of parallel sides*length of base)

=7*5+1/2*4(2+5)

=35+14

=49 cm^2

Hence,  volume of prism=8*49

=392 cm^3

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The direct variation-equation which relates x and y is y = -4x, and when x = 6, y will be -24.

To write a direct variation-equation which relates x and y, we determine the constant of variation. In direct variation, when one variable increases or decreases, the other variable does so in direct-proportion.

Given that y = -8 when x = 2, we can write the direct variation-equation as  : y = kx

Substituting the values,

We get,

-8 = k × 2

To find the value of k, we solve for it,

k = -8 / 2

k = -4

So, direct variation-equation relating x and y is : y = -4x,

To find the value of y when x = 6, we substitute value of x into equation:

We get,

y = -4 × 6,

y = -24.

Therefore, when x = 6, y equals -24.

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The given question is incomplete, the complete question is

How do you write a direct variation equation that relates x and y if y = -8 when x = 2, and how do you find y when x = 6?

A direct variation equation that relates x and y is y = kx, where k is the constant of variation.

A direct variation equation relates two variables, x and y, in a way that the ratio of their values remains constant. It can be represented by the equation y = kx, where k is the constant of variation.

In this equation, as x increases or decreases, y also increases or decreases proportionally. The constant of variation, k, represents the rate of change between x and y. It determines how much y changes for each unit change in x.

For example, if we have a direct variation equation y = 3x, it means that for every unit increase in x, y increases by 3 units. Similarly, for every unit decrease in x, y decreases by 3 units.

It is important to note that the constant of variation, k, cannot be zero. If k is zero, the equation becomes y = 0, which means y is always zero regardless of the value of x. This would result in an undefined relationship.

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Answer:

the volume of the tissue box would be 0.2×0.5×0.3. the volume of a rectangular prisim is V=l×w×h

Answer:

53y

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

38y + 15y

38 and 15 are coefficients

y is a term

Since they are like terms, they can be combined

Step 2: Add

38 + 15 = 53

53y

Answer:

24\(\sqrt{3}\)

Step-by-step explanation:

KML is a special right triangle with angle measures of 90-60-30 and side lengths represented by 2a-a\(\sqrt{3}\)-a

|KL| is given as 48 so 2a = 48 and a = 24

ML is the side length that sees angle measure 60 so it's represented with a\(\sqrt{3}\)

since a = 24

a\(\sqrt{3}\) = 24\(\sqrt{3}\)

Answer: Problem 3:

The triangles are not similar. They have different angles.

Problem 4:

The triangles are similar by SSS~. A valid similarity statement is:

Triangle ABC ~ Triangle DEF.

Step-by-step explanation:

To find the measure of the third angle of a triangle, we can use the fact that the sum of the angles in a triangle is always 180 degrees.

Let's denote the measure of the third angle as x.

We know that the first angle is 52°27' and the second angle is 112°30'.

Adding these two angles together:

52°27' + 112°30' = 164°57'

Now, we can set up an equation to find the measure of the third angle:

x + 164°57' = 180°

To solve for x, we subtract 164°57' from both sides:

x = 180° - 164°57'

Calculating the subtraction:

x = 15°3'

Therefore, the measure of the third angle is 15°3'.

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Answer:

(-3,-2)

Step-by-step explanation:

When you reflect over the x-axis, the x remains the same but the y changes to the opposite. In this case negative. I hope this helps, have a great day!

An equation in slope-intercept form for the line that passes through (9,12) and is parallel to y=4 is y= 4x -24.

What is Parallel lines?

Parallel lines in geometry are coplanar, straight lines that don't cross at any point. In the same three-dimensional space, parallel planes are any planes that never cross. Curves with a predetermined minimum distance between them and no contact or intersection are said to be parallel.

Parallel lines will have the same slope but different y-intercepts  so again we can  use the coordinates to determine the y intercept of the new equation.

So we know that the slope intercept formula is y=mx + b where m is the slope and b is the y-intercept so we will input the x and y coordinates to solve for b.

12 = 4(9) + b

12 = 36 + b

b = -24

The equation will be y= 4x -24.

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Answer:

28

Step-by-step explanation:

I attached an image of my work. I apologize for my really bad handwriting! Hopefully it still makes sense.

Answer:A

Step-by-step explanation:

Yes , the integer k is divisible by 4 and statement (1) alone is sufficient to determine that k is divisible by 4.

Given data ,

Let the equation be represented as A

Now , the value of A is

a)

To determine if the integer k is divisible by 4, let's analyze the given statements:

Statement (1): 8k is divisible by 16.

This means that 8k is a multiple of 16. Since 16 is divisible by 4, we can conclude that k must be divisible by 4 as well. Therefore, statement (1) alone is sufficient to determine that k is divisible by 4.

8k = 16

k = 2

b)

This statement does not provide direct information about the divisibility of k by 4. While 12 is divisible by 4, the fact that 9k is divisible by 12 does not guarantee that k itself is divisible by 4.

9k = 12

k = 12/9

k = 4/3

So , it is not an integer

In conclusion, statement (1) alone is sufficient to determine that k is divisible by 4. Statement (2) is not sufficient on its own.

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The interval of the cost of the car is [5600, ∞).

Here we have to find the cost of the car.

Let x be the cost of the car.

So from the question, we have that the cost of the repair is 25% or more of the car's value.

So we have to find the interval notation of the cost of the car.

x ×25% ≥ 1400

x × 25/100 ≥ 1400

x ≥ 1400× 100/25

x≥ 5600

So we get that the cost of the car is greater than $5600.

Therefore the cost of the car in an interval is [5600, ∞)

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Answer:

d3

Step-by-step explanation:

Answer:

x  = 7

angle A = 7(7) + 4 = 49 + 4 = 53°

angle B = 4(7) + 9 = 28 + 9 = 37°

Step-by-step explanation:

m ∠A  + m ∠B = 90°                    Complementary angles sum = 90°

7x + 4 + 4x + 9 = 90

11x + 13 = 90

11x = 77

x  = 7

angle A = 7(7) + 4 = 49 + 4 = 53°

angle B = 4(7) + 9 = 28 + 9 = 37°

Check = angle A + angle B =  90° checked

According to the recursive definition for the length of a string, the length |001| is 3. The term "recursive" refers to a process that defines something in terms of itself, "length" refers to the number of characters in the string, and "string" is a sequence of characters. In this case, the string "001" has three characters (0, 0, and 1), so its length is 3.

According to the recursive definition for the length of a string, |001| is 3. The length of a string is defined as 0 if the string is empty, and 1 plus the length of the string without its first character if the string is not empty. In this case, the string "001" is not empty, so its length is 1 plus the length of the string "01" without its first character. Since the string "01" is also not empty, its length is 1 plus the length of the string "1" without its first character. Finally, the string "1" is a single character and has a length of 1, so the total length of "001" is 1 + 1 + 1 = 3.
Recursion is the process of calling itself. This process provides a way to break complex problems into simpler processes that are easier to solve. Recursion can be a bit confusing. The best way to determine how it works is to experiment with it.

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The area of the parallelogram with sides measuring 44, 38, and an included angle of 35 degrees is approximately 1,008.77 square units.

To find the area of a parallelogram, we need to know the length of one side and the perpendicular height. However, in this case, we are given the lengths of two adjacent sides (44 and 38) and the measure of the included angle (35 degrees). To find the area, we can use the formula:

Area = side1 * side2 * sin(angle)

Plugging in the values, we have:

Area = 44 * 38 * sin(35 degrees)

To calculate this, we convert the angle from degrees to radians since the trigonometric functions in most programming languages work with radians. Using the conversion formula (radians = degrees * pi / 180), we find that 35 degrees is approximately 0.610865 radians.

Area = 44 * 38 * sin(0.610865)

Using a scientific calculator or a programming language, we can evaluate sin(0.610865) to be approximately 0.5815.

Area = 44 * 38 * 0.5815

≈ 1008.77 square units

Therefore, the area of the parallelogram is approximately 1,008.77 square units.

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The length of each side is 26 meters, 32.5 meters and 32.5 meters.

Let, ABC is an isosceles triangle BC is the base and AB and AC are two equal sides.

By the property of triangle, the perirmeter P is equal to the sum of all three sides.

Let the sides are 4x, 5x, 6x.

P = 4x + 5x + 5x

91 = 14x

x = 6.5

Substitute the values in the assumed sides,

A = 4 × 6.5 = 26

B = 5 × 6.5 = 32.5

C = 5 × 6.5 = 32.5

The base of triangle is 26 meters and the two equal sides are 32.5 meters.

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