A store owner mixes 2 Ib of candy that costs x dollars per pound with 3 Ib of candy that costs $1.50 per pound. She sells the mix for $2.50 per pound.

Applying the angle relationships, the measures of the numbered angles are:

m∠1 = 145°

m∠2 = 145°

m∠3 = 35°

m∠4 = 35°

m∠5 = 145°

m∠6 = 145°

m∠7 = 35°

The position of angles when a transversal intersects parallel lines determines the type of angle relationships that exist between the angles, and also their measure.

Based on angle relationships, the angle measures in the image are solved as follows:

m∠1 = 180 - 35 [linear pair angle relationship]

m∠1 = 145°

m∠2 = m∠1 [vertical angles]

m∠2 = 145°

m∠3 = 35° [vertical angles]

m∠4 = 35° [corresponding angles]

m∠5 = m∠2 [alternate interior angles]

m∠5 = 145°

m∠6 = m∠5 [vertical angles]

m∠6 = 145°

m∠7 = m∠4 [vertical angles]

m∠7 = 35°

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Answer:

Yes

Step-by-step explanation:

Because they are consecutive, one is odd and one is even.

The square of an odd number is always odd

The square of an even number is always even

The difference between an odd number and an even number is always odd

Therefore, the difference between any 2 consecutive square numbers is always odd

686 bottles of 4 liters each can be filled from this cube.

We can solve this problem by following a few steps.

As we know that a cube has 6 surfaces and each surface has a geometrical shape of a square. We also know that each side of a square is the same.

So, the surface area of a square ≡ Side × Side.

Let's assume the side as z

Now, the area of this square ≡ z × z = z²

∴ z² = 19600, as per the question.

We have to solve the equation,  z² = 19600   Or, z = 140   ( by doing root both sides)

Now we know the side of the cube, then the volume of this cube is z³.

As, we know the volume of a cube ≡ side × side × side, as the height of a cube is also identical.

Volume of the cube = 140³ =  2,744,000 cc

1000 cc is considered as 1 liter. Therefore, this cube consists of, 2,744,000/1000 = 2744 liter of water.

Each bottle consists of 4 liters of water. Then we can fill, 2744/4 = 686 bottles of water.

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The equation of the line passing through the point P(-2,6) that is parallel to the line x = -5 is x = -2   .

In the question ,

it is given that

the required line is parallel to x [tex]=[/tex] -5

means the line x [tex]=[/tex] -5 , is a vertical line parallel to y axis , it makes an angle of 90° with the x axis .

so , slope will be tan(90°) = 1/0

hence the slope of the required line is 1/0.

The equation of the line passing through point P(-2,6) and with slope = 1/0 , is

y-6 = (1/0)*(x-(-2))

0 = 1 * (x + 2)

0 = x + 2

x = -2

the graph is drawn below .

Therefore , The equation of the line passing through the point P(-2,6) that is parallel to the line x = -5 is x = -2 .

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Answer:

a) x+4

b) a = 1, b = 10

Step-by-step explanation:

a) You can read the lenght of AB, which is 4 + x

b) The lenght of AD is 6+x

The area of the rectangle ABCD is lenght AB * lenght CD,

so (4+x)*(6+x) = 24 + 6x + 4x + x^2 = x^2 + 10x +24

Since this must equal 28, it follows that

x^2 + 10x + 24 = 28,

so 1*x^2 + 10x = 4

(note that 1*x^2 is just x^2)

so a = 1 and b = 10

The required cubic model would be y = 1 + x³ for the given set of values.

The cubic model function takes the form:

y = a + bx + cx² + dx³,

where a, b, c, and d are real integers that represent the cubic regression model's coefficients As you can see, we simulate how the value of y changes as x changes.

x₁ = -2, y₁ = -7

x₂ = -1, y₂ = 0

x₃ = 0, y₃ = 1

x₄ = 1, y₄ = 2

x₅ = 2, y₅ = 9

Computing the values in the regression models to get the values of coefficients to which the graph has attached.

y = a + bx + cx² + dx³

Fitted coefficients:

a = 1

b = 0

c = 0

d = 1

Cubic model:

y = 1 + x³

Hence, the required cubic model would be y = 1 + x³ for the given set of values.

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Width of the box is the dimension which gives the gives maximum value.

Width of the box = 9 cm

Length of the box = 9 cm

Given,

The perimeter of the rectangular bottom of the box = 36 cm

The height of the box = 4 cm

We have to find the dimension which gives maximum value.

Volume = lwh

Perimeter = 2(l + w)

36 = 2l + 2w

l = (36 - 2w)/2

l = 18 - w

Now,

Volume = length × width × height

V = (18 - w) × w × 4

V = 72w - 4w²

Lets find w by using w = -b/2a

That is,

w = -72/2(-4) = -72/-8 = 9

That is,

Width of the box is 9 cm and it is the dimension which gives the maximum value.

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Answer:

Im unaware what you are asking?

Step-by-step explanation:

hmmmm

Probability of selecting eight letter word without repetition of letter is 0.3016.

There are total 26 letters in English alphabets. A 8 letter Code word is selected. We have to take care of repetition of letters as be are not allowed to repeat the letters.

Any letter being chosen should have an equal probability of 1/26. So, we have a probability of 1 to get a non-repeated letter while choosing the first letter.

For first letter the probability is = 26/26

For second letter the probability is = 25/26

For third letter the probability is = 24/26

For fourth letter the probability is = 23/26

For 5th letter the probability is = 22/26

For 6th letter the probability is = 21/26

For 7th letter the probability is = 20/26

For 8th letter the probability is = 19/26

To get an eight letter code that has no repeated letters, all these events have to occur.

Probability of selecting eight letter word without repetition of letters =  (26/26) (25/26) (24/26) (23/26) (22/26) (21/26) (20/26) (19/26)

Probability of selecting eight letter word without repetition of letters = 0.3016

So, 0.3016 is the probability of selecting eight letter word without repetition of letters.

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According to the following graph, the equations  y=x+7 and y=x²+4 will intercept 2 times at the points (-1.3, 5.7) and (2.3, 9.3).

Intercept:

The point where the line or curve crosses the axis of the graph is known as intercept.

That is, if a point crosses the x-axis, then it is known as the x-intercept. Similarly, if a point crosses the y-axis, then it is called as the y-intercept.

Given,

Here we have the equation  y=x+7 and y=x²+4.

Now, we need to find the number of times the equation is intercepts.

First, we have to plot the graph for the given equations,

Then based on that one we have easily identify the intercepting points in order to get the results.

In the following graph, the blue line represents the equation y=x²+4 and the red line represents the equation y = x + 7.

While we looking into the graph we have identified that the two lines are intersecting at two point they are (-1.3, 5.7) and (2.3, 9.3).

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Answer:

y = -2x -3

Step-by-step explanation:

To write an equation we need two points that the line cuts through.

we then use the formula: Gradient = Rise/Run

the points chosen are (0,-3) and (1,-5)

Gradient = (-5--3)/(1-0)

= -2

to write the equation we need one known point, gradient and one unknown point say (x,y).

we therefore use the formula for gradient/slope

G = Rise/Run

-2 = y+3/x-0

-2x = y + 3

y = -2x -3

Answer:

y = - 2x - 3

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, - 3) and (x₂, y₂ ) = (1, - 5) ← 2 points on the line

m = [tex]\frac{-5-(-3)}{1-0}[/tex] = [tex]\frac{-5+3}{1}[/tex] = [tex]\frac{-2}{1}[/tex] = - 2

the line crosses the y- axis at (0, - 3 ) ⇒ c = - 3

y = - 2x - 3 ← equation of line

Answer:License plate numbers in certain state consists of seven characters: The first character is digit (0 through 9) The next four characters are capital letters (A through Z) and the last two characters are digits. Therefore; license plate number in this state can be any string - of the form: Digit-Letter-Letter-Letter-Letter-Digit-Digit How many license plate numbers are possible if no digit appears more than once?

Step-by-step explanation: i don't know rm

Answer:

it's 21 something like that

Step-by-step explanation:

im 14

The correct options are that the functions share a y intercept of -1 and both functions have a range of all real numbers.

A function may be defined as the expression in which for one input variable x there is only one output variable y. The input variable is known as independent variable and output variable is known as dependent variable. Real number may be defined as the set of numbers that has integers, rational numbers, and natural numbers. Here, from the graph we can see that both the functions meet on the y-axis at a point (0, -1). Thus, both these functions share a y intercept of -1. Now, both the functions have a certain value of y for a given value of x. Hence, both functions have a range of all real numbers.

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Answer:b n d

Step-by-step explanation:

Answer:  12

Step-by-step explanation: Because the absolut value of something will always be positive.

Answer:

The value for |12| is D. 12

Answer:

It's basically a quadrilateral, it has no name for it.

Step-by-step explanation:

start off by graphing the points

the number in the front is the x axis and the number after is the y axis

Ex: (-4,3) = (X,Y)/  X is horizontal going left to right & Y is vertical going up and down.

The graph of the linear equation 4x - y = 8, with two points on the line is shown in the image attached below.

If we know the slope, m, of the linear equation, which is the rise of the line over the run of the line, and also know the y-intercept value, b, we can graph a linear equation such that the slope of the line would be the value of m, and the point where the line intercepts the y-axis would be the value of b in the linear equation that is represented as y = mx + b.

Given the linear equation, 4x - y = 8, we can rewrite this in slope-intercept form as y = mx + b:

4x - y = 8

-y = -4x + 8 [subtraction property of equality]

y = 4x - 8 [division property of equality]

The slope, m, is 4, while the graph of the linear equation must intercept the y-axis at y = -8, because the y-intercept of the linear equation is b = -8.

Thus, the graph of 4x - y = 8 is shown below.

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Answer: x = 20

Step-by-step explanation:

The angles are corresponding angles so they are equivalent to each other. To solve for x, we set them equal and then solve for x.

65 = 3x + 5

60 = 3x

x = 20

Answer:

the other person has it right- it's x =20

ANSWER: x = 3

z = 100

Simplifying the answer

What is Real number ?

The value of a continuous quantity that can represent a distance along a line is a real number. René Descartes first used the word "real" in this meaning in the 17th century when he made a distinction between the real and imaginary roots of polynomials.

Solve :  u² = -121

putting square root on both side

             √u²  =  √ (-121)

                u   = (-11)

                u   = 11i

Since, there is no real square root of -121

If i is the imaginary unit then i = -1 and we find that

               11i is square root of -121

Hence, the simplify answer for u² = -121 is 11i

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Answer:

[tex]-\frac{16}{21}[/tex]

Step-by-step explanation:

lets organize the equation so it becomes easier to see

[tex]-2\frac{1}{3} + 1\frac{4}{7}[/tex]

switch the spots so that it becomes even easier to read (this does not affect the result in any way)

[tex]1\frac{4}{7}-2\frac{1}{3}[/tex]

now make them both improper fractions

[tex]\frac{11}{7} -\frac{7}{3}[/tex]

and make them both have the same denominator (21)

[tex]\frac{33}{21} -\frac{49}{21}[/tex]

and solve

([tex]33-49= -16[/tex])

[tex]\frac{33}{21} -\frac{49}{21} =\frac{-16}{21}[/tex]

can we simplify [tex]\frac{-16}{21}[/tex]? does 16 and 21 have a common factor?

No.

so our result is

[tex]-\frac{16}{21}[/tex] or 0.761904762

Answer:

L = 1/2(p) - w

Step-by-step explanation:

a) Flip the equation.

2l + 2w = p

b) Add -2w to both sides.

2l + 2w + −2w = p +-2w

2l = p − 2w

c) Divide both sides by 2.

2L/2 = p - 2w/2

L = 1/2(p) - w

[tex]\displaystyle\\Answer:\ -\frac{14}{13} x+y=\frac{8}{13}[/tex]

Step-by-step explanation:

Ax+By=C   the slope is 14/13   (5,6)    (-8,-8)

The slope m equil 14/13

[tex]\displaystyle\\By=mx+C\\\\By=\frac{14}{13} x+C\ \ \ \ (1)[/tex]

Substitute the coordinates of the points into equation (1) and obtain a system of equations:

[tex]\displaystyle\\\left \{ {{B(6)=\frac{14}{13}(5)+C } \atop {B(-8)=\frac{14}{13}(-8)+C }} \right.\\\\\left \{ {{6B=\frac{70}{13} +C\ \ \ \ \ \ \ (2)} \atop {-8B=-\frac{112}{13}+C\ \ \ (3) }} \right.[/tex]

Multiply  both parts of the equation (3) by -1:

[tex]\displaystyle\\\left \{ {{6B=\frac{70}{13}+C \ \ \ \ (4)} \atop {8B=\frac{112}{13}-C }} \right.[/tex]

Add these equations :

[tex]14B=\frac{182}{14}\\\\ 14B=14[/tex]

Divide both parts of the equation by 14:

[tex]B=1[/tex]

Hence, let's substitute the value of B into equation (4):

[tex]\displaystyle\\6(1)=\frac{70}{13}+C \\\\6=\frac{70}{13}+C\\6-\frac{70}{13} =\frac{70}{13} +C-\frac{70}{13}\\\\\frac{6*13-70}{13}=C\\\\\frac{78-70}{13}=C\\\\\frac{8}{13}=C\\[/tex]

[tex]\displaystyle\\Thus,\ C=\frac{8}{13}\\\\ So,\ 1(y)=\frac{14}{13} x+\frac{8}{13} \\ -\frac{14}{13} x+y=\frac{8}{13}[/tex]

We need to take the derivative, which is:

[tex]f'(x) = 10x + 2[/tex]

and see where it is positive (increasing) and negative (decreasing). We see that [tex]f'(x) = 0 at x = -1/5, f'(x) < 0 for x < -1/5, and f'(x) > 0 for x > -1/5[/tex]. Therefore, we have

f(x) increasing: (-1/5, ∞)

f(x) decreasing: (-∞, -1/5)

Answer: 76,000

Step-by-step explanation:

You move the decimal point to the right 4 times because of the positive exponent.

Answer: Students filled the brick old red depressing building.

Step-by-step explanation:

Answer:

x = 49°

Step-by-step explanation:

x = 49°

since m and n are parallel to each other

with T an oblique vector

forming a Z shape

to make this true

Answer:

Step-by-step explanation:

Find the amount of time it takes for a beam of light from the Sun to reach Earth.

The equation that can be set up is, 2x° + 3x° + 36.5° + 36.5° + 2x° = 360°.

The value of x is: x = 41.

Angles that are formed around an endpoint but several rays will have a sum of 360 degrees when each of the angles formed around the endpoint is added together.

The diagram shows the angles that are formed by the five rays at a common endpoint. The angles are, 2x°, 3x°, 36.5°, 36.5°, and 2x°.

The sum of all these angles formed will give us 360 degrees. Therefore, the equation that would be created to find the value of x would be written as:

2x° + 3x° + 36.5° + 36.5° + 2x° = 360° [equation set up to find x]

Combine like terms

7x° + 73° = 360°

Subtract 73 from each side

7x° + 73° - 73° = 360° - 73° [subtraction property of equality]

7x = 287

Divide both sides by 7:

7x/7 = 287/7 [division property of equality]

x = 41

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