WILL MAKE BRAINLIEST!!!
Match each pair of angles to their relationship name (put letters next to the relationship name)

_1. Vertical

_2. Same side interior

_3. Alternate interior

_4. Corresponding

_5. Same-side exterior

_6. Alternate Exterior

_7. Supplementary

_8. No relationship

WILL MAKE BRAINLIEST!!!Match Each Pair Of Angles To Their Relationship Name (put Letters Next To The

Answers

Answer 1

Answer:

corresponding, supplementary, alternate interior, same side interior, vertical, alternate exterior, corresponding, alternate exterior, vertical, and alternate interior

Answer 2

In the figure 10, the pair of angles are alternate interior angles.

What are angles of parallel lines?

Angles in parallel lines are angles that are created when two parallel lines are intersected by another line called a transversal.

From the given figure,

1) corresponding angles

2) Adjacent angles (Supplementary)

3) Alternate interior angles

4) Allied angles (Same side interior)

5) Vertically opposite angles

6) Alternate exterior angles

7) corresponding angles

8) Alternate exterior angles

9) Vertically opposite angles

10) Alternate interior angles

Therefore, in the figure 10, the pair of angles are alternate interior angles.

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Related Questions

9. Sherry made eight drawings in art class . She noticed that two of her drawings has line symmetry . What percent of them had line symmetry? ​

Answers

Answer:

25%

Step-by-step explanation:

2 out of 8

percent = part/whole × 100%

part = 2

whole = 8

percent = 2/8 × 100%

percent = 25%

A. It has point symmetry.
B. It has rotational symmetry with an angle of rotation of 120°.
C. It has reflectional symmetry with five lines of symmetry.
D. It has no rotational symmetry.
HELP WILL MARK BRAINLIEST.

A. It has point symmetry. B. It has rotational symmetry with an angle of rotation of 120.C. It has reflectional

Answers

Answer: C. It has reflectional symmetry with five lines of symmetry.

The five lines of symmetry are shown in the diagram below. Each line splits a flower petal in half. Each line also splits the entire flower in half. In other words, reflecting one half of a flower over any given line of symmetry, generates the other half of the flower.

A. It has point symmetry. B. It has rotational symmetry with an angle of rotation of 120.C. It has reflectional

The correct answer is C. The given figure has reflectional symmetry with five lines of symmetry.

Symmetry refers to the property of an object remaining unchanged when certain transformations are applied to it.

A. Point symmetry, also known as rotational symmetry, means that the object looks the same when rotated by a certain angle around a central point. However, a given figure does not have point symmetry since it does not look the same when rotated by any angle around a central point.

B. The statement that the flower has rotational symmetry with an angle of rotation of 120° is incorrect because, as mentioned above, it does not possess rotational symmetry.

C. The flower does have reflectional symmetry with five lines of symmetry. This means that the flower can be divided into five equal parts using five lines of reflectional symmetry, such that each part is a mirror image of the other.

D. The statement that the flower has no rotational symmetry is correct, as mentioned in A and B.

Therefore, the correct answer is C. It has reflectional symmetry with five lines of symmetry.

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Michael wanted to pick a card randomly from a regular deck of 52 cards. What is the
probability that Michael picks a red 8?
Round to the nearest hundredth.

Answers

there are two red 8's in a deck or cards (8 of hearts and 8 of diamonds). therefore the probablility is 2/52. in decimal form that is 0.04 (rounded).

find the value of k if it is known that the graph of y=kx+2 goes through the point. a(14,-40)
(100 POINTS)

Answers

Answer:

k=-3

Explanation:

Plug in x and y values

-40=k(14)+2

-2 both sidea

-42=k(14)

divide by 14 both sides

k=-3

k = -3

Step-by-step explanation:

y = kx + 2 through the point a(14, -40)

Subtitute…

y = kx + 2

-40 = k(14) + 2

-40 = 14k + 2

-40 - 2 = 14k

-42 = 14k

(-42)/14 = k

-3 = k

Perform the indicated operations and simplify.
(x - 3y)² + 3(x + y)(x − 4y) + x(3x + 4y + 3)

Answers

Let's simplify the expression step by step: Expand the squared term:

(x - 3y)² = (x - 3y)(x - 3y) = x² - 6xy + 9y²

Expand the second term:

3(x + y)(x − 4y) = 3(x² - 4xy + xy - 4y²) = 3(x² - 3xy - 4y²)

Expand the third term:

x(3x + 4y + 3) = 3x² + 4xy + 3x

Now, let's combine all the expanded terms:

(x - 3y)² + 3(x + y)(x − 4y) + x(3x + 4y + 3)

= x² - 6xy + 9y² + 3(x² - 3xy - 4y²) + 3x² + 4xy + 3x

Combining like terms:

= x² + 3x² + 3x² - 6xy - 3xy + 4xy + 9y² - 4y² + 3x

= 7x² - 5xy + 5y² + 3x

The simplified form of the expression is 7x² - 5xy + 5y² + 3x.

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__________ is a disease characterized by permanent airflow obstruction and extended periods of disability and restricted activity.

Answers

Chronic obstructive pulmonary disease (COPD) is a disease characterized by permanent airflow obstruction and extended periods of disability and restricted activity.

Chronic obstructive pulmonary disease (COPD) is a chronic respiratory condition that affects the lungs and airways. It is primarily caused by long-term exposure to harmful substances such as cigarette smoke, air pollution, and occupational hazards.

COPD is characterized by permanent airflow obstruction, which means that the airways become narrowed and it becomes difficult for air to flow in and out of the lungs. This obstruction leads to symptoms such as shortness of breath, persistent coughing, wheezing, and frequent respiratory infections.

The disease is progressive and can result in extended periods of disability and restricted activity, as the individual's lung function gradually declines over time. COPD requires long-term management and treatment to improve symptoms and prevent further deterioration of lung function.

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2. for each of the following situations, state the predictor variable and the outcome variable. a. a study is done to test if the number of risky behaviors changes with increasing age. b. a study is done to test if the level of education of children changes based on the number of family members.

Answers

In situation a, the predictor variable is age, as it is being tested to see if it affects the outcome variable, which is the number of risky behaviors. So, age is the independent variable and the number of risky behaviors is the dependent variable.

In situation b, the predictor variable is the number of family members, as it is being tested to see if it affects the outcome variable, which is the level of education of children. So, the number of family members is the independent variable and the level of education of children is the dependent variable.

It is important to identify the predictor variable and the outcome variable in any study as this helps in understanding the relationship between the two variables and in interpreting the results accurately.


For situation A, the predictor variable is "age," and the outcome variable is "number of risky behaviors." As age increases, the study aims to see if the number of risky behaviors changes.

For situation B, the predictor variable is "number of family members," and the outcome variable is "level of education of children." The study examines whether the children's level of education changes based on the number of family members.

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The population of mice on a farm is modeled by the differential equation 3000 P dP dt = 200 − P. If we know that today there are 60 mice on the farm, what function will describe how the mouse population will develop in the future? (a) P = 200/1+ 7 3 e−t/15 (b) P = 200/1+ 7 3 e−200t (c) P = 3000/1+49e−t/15 (d) P = 3000/1+49e−t/20 (e) None of the above

Answers

Using differential equation the population of the mice is given by option e. None of the above and is equal to P = 6000 ( 3 + 7e^(-t/60) ).

Differential equation representing the population of mice is

(3000 /P) (dP/ dt) = 200 − P

⇒ 3000∫( 1 / P(200 - P) dP = ∫dt __(1)

Using partial differential we get,

( 1 / P(200 - P)  = ( A/ P) + B/ ( 200 -P)

⇒ A = -1/200 and B = 1/200

(1/200)[ ∫(1/P) dP - ∫dP/ (200 -P)

= (1/200)[ log P - log(200 -P)]

For P = 60

(1/200)[ log |P| - log|200 -P|]

= (1/200)[ log60 - log(200 -60)]

= (1/200) log(60/140)

= 1/200 log (3/7)

Substitute in (1) we get,

3000∫( 1 / P(200 - P) dP = ∫dt

= 3000 (1/200)[ log P - log(200 -P)] + c= t

t=0 , P(0) = 60

= 3000 [1/200 log (3/7)] + c = 0

⇒ c = - 60log(3/7)

Now,

60[log(P/200 -P) ] - 60log(3/7) = t

⇒60[ log(P /(200 -P)(3/7) ]= t

⇒P / (200 - P) = (3/7) e^(t/60)

⇒ P = 200(3/7) e^(t/60) - P((3/7) e^(t/60))

⇒P( 1 + (3/7) e^(t/60) ) =  200(3/7) e^(t/60)

⇒P = ( 6000)e^(t/60) / ( 7 + 3 e^(t/60) )

⇒P = 6000 ( 3 + 7e^(-t/60) )

Therefore, the function describes the population of the mouse using differential equation is equal to option e. none of the above and is equal to P = 6000 ( 3 + 7e^(-t/60) ).

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The above question is incomplete , the complete question is:

The population of mice on a farm is modeled by the differential equation (3000 /P) (dP/ dt) = 200 − P. If we know that today there are 60 mice on the farm, what function will describe how the mouse population will develop in the future?

(a) P = 200/1+ 7 3 e−t/15

(b) P = 200/1+ 7 3 e−200t

(c) P = 3000/1+49e−t/15

(d) P = 3000/1+49e−t/20

(e) None of the above

Is this a quadratic function? Why or why not?

Is this a quadratic function? Why or why not?

Answers

Answer:

Not a quadratic function.

Step-by-step explanation:

Definitions

A function is a relation wherein each input or x-value corresponds exactly to an output or y-value.  In other words, a relation is a function if there are no repeating x-values.  

Vertical Line Test :

A way to determine whether a given graph represents a function is to perform the Vertical Line Test.  Using the Vertical Line Test, we must draw vertical lines across the graph.  If each of the vertical lines drawn intersects the graph at exactly one point, then the relation is a function.  

⇒  The attached screenshot shows that the given graph fails the Vertical Line Test, as each vertical line drawn intersects the graph more than once. This means that those x-values correspond to more than one y-value. Specifically, x = 1 corresponds to the following y-values: y = -1 and y = 1.   Hence, the given horizontal parabola is not a quadratic function.

Horizontal Parabola: Not a Function      

The given graph represents a horizontal (or sideways) parabola.

The vertex form of the horizontal parabola is: x = a(y - k)² + h.  

where:

a = Determines the direction of the graph's opening.

a > 0, the graph of the parabola opens to the right.a < 0, the graph of the horizontal parabola opens to the left

y = k is the horizontal axis of symmetry

k = determines the vertical translation of the graph

h = determines the horizontal translation of the graph

Equation of the Horizontal Parabola in Vertex Form:

The vertex of the given graph occurs at the point of origin, (0, 0).

Let's use one of the given points on the graph, (1, 1), and substitute these values into the vertex form to solve for a :

x = a(y - k)² + h

1 = a(1 - 0)² + 0

1 = a( 1 )²

1 = a

Equation of the given horizontal parabola in vertex form:  

      ⇒     x = (y - 0)² + 0  or  x = y²

It is evident that in the vertex form of a horizontal parabola, the variable, y, is squared.

This implies that each x-values on the graph have more than one corresponding y-values:

                          x = 1 has two y-values: y = -1, and y = 1.

                           x = 4 has two y-values: y = -2, and y = 2.

Thus, by definition of function, the given horizontal parabola is not a quadratic function, as it fails the vertical line test.  

Is this a quadratic function? Why or why not?

the product of a number and 4

Answers

Answer:

4n  or  n × 4

Step-by-step explanation:

Product means the result of multiplying factors.

Factors are the numbers or variables (a number, unknown) that are multiplied.

NEED HELP ASAP PLEASE!!!!!!​

NEED HELP ASAP PLEASE!!!!!!

Answers

The value of t for the given problem is 26°.

What is angle on a straight line?

A straight line's angles add up to 180 degrees.

You can calculate angles using this fact as well.

Add all known angles together to find the missing angle on a straight line.

Angle sum is subtracted from 180 degrees.

Create the equation, then resolve it.

Here the given two angles on a straight line are (24 - 4)° and (5t + 2)°.

Since the measure of straight line is 180°.

⇒  (2t - 4)° + (5t + 2)° = 180°

        2t - 4° + 5t + 2° = 180°

                       7t - 2° = 180°

                             7t = 180° + 2°

                              7t = 182°

                                t = 182°/7

                                t = 26°

Hence, the value of t for the given problem is 26°.

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Using each picture or description of a triangle, write and solve an equation.

Using each picture or description of a triangle, write and solve an equation.

Answers

Answer:

Step-by-step explanation:

All angles in a triangle add up to 180º, so we can make this equation.

7x-2+5x-10+4x=180

Combine like terms

16x-12=180

Add 12

16x=168

Divide

x=16.5

what geometric shape forms the hole that fits an allen wrench

Answers

Answer:

A hexagon

Step-by-step explanation:

A hexagon - - - the allen wrench has 2 hexagonal heads. See attached pic.

what geometric shape forms the hole that fits an allen wrench

The geometric shape that forms the hole that fits an allen wrench is a hexagon, which is a six-sided polygon with straight sides and angles.

The geometric shape hexagon-shaped hole in an allen wrench, also known as a hex key, is designed to fit tightly over the hexagonal socket of a screw or bolt head. A hexagon is a six-sided polygon, meaning it has six straight sides and angles. In the case of an allen wrench, the hexagon has internal angles of 120 degrees and opposite sides that are parallel.

The hexagonal shape of the hole in the wrench allows for a tight and secure fit onto the corresponding hexagonal socket of the screw or bolt head. This design ensures that the wrench can apply a significant amount of torque to the fastener without slipping, which is essential for many applications in construction, mechanics, and other industries.

The use of a hexagonal shape also allows for greater precision and control when turning the screw or bolt, making it easier to achieve the desired level of tightness. Overall, the hexagon is an ideal shape for the hole in an allen wrench due to its strength, stability, and precision.

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Fill in the following, where each blank is to be filled with a single word. Moving a negation inward over a disjunction changes the disjunction into a______ and each of the two statements is________. Moving a negation inward over an existential quantifier changes the quantifier to a __________ quantifier and the rest of the expression is negated. Moving a negation inward over a universal quantifier changes the quantifier to an _________quantifier and the rest of the expression is negated.

Answers

Moving a negation inward over a disjunction changes disjunction into a conjunction and each of two statements is negated. Moving a negation inward over an existential quantifier changes quantifier to a universal quantifier.

Moving a negation inward over a universal quantifier changes the quantifier to an existential quantifier and the rest of the expression is negated.When we move a negation inward over a disjunction (OR), the disjunction changes into a conjunction (AND). Additionally, each of the two statements within the disjunction is negated. This is known as De Morgan's Law for negations of disjunctions.

Moving a negation inward over an existential quantifier (∃) changes the quantifier to a universal quantifier (∀), and the rest of the expression is negated. In other words, the negation applies to the entire expression, including the quantifier and the statement.

Similarly, moving a negation inward over a universal quantifier (∀) changes the quantifier to an existential quantifier (∃), and the rest of the expression is negated. Again, the negation applies to the entire expression, including the quantifier and the statement.

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What is madeline mistake

What is madeline mistake

Answers

Answer:

4000 should be 40 to be correct. simple wrong steps.

Step-by-step explanation:

Mr. Lambert borrows $900 from a credit union to buy a new laptop. The credit union charges 6.5 % simple interest per year. How much interest will he owe if it takes him 18 months to repay the loan? Round to the nearest cent.

Answers

$87.75

Step-by-step explanation:

900×6.5%×18months

=58.5×1.5years

=87.75

help please, i don’t understand and i need to show work.

help please, i dont understand and i need to show work.

Answers

Answer:

Step-by-step explanation:

a = 1  ;  b= -6

Plug in the value of a and b in the equation

\(x = \frac{-b}{2a}\\\\= \frac{-(-6)}{2*1}\\\\= \frac{6}{2}\\\\= 3\)

Suppose that triangle JKL is rotated so that the vertex L' of a new triangle is (1, -4). About which point was triangle JKL rotated to result in these coordinates for point L' on the rotated triangle J'K'L'? (hint: the point of rotation must be the same distance from L and L')

Answers

The point of rotation R is located at (1, -4).

We have,

To find the point about which triangle JKL was rotated to result in the coordinates (1, -4) for point L' on the rotated triangle J'K'L', we need to find a point equidistant from points L and L'.

Let's denote the point of rotation as R, and the coordinates of L as (x, y).

Since the point R is equidistant from points L and L', we can use the midpoint formula to find its coordinates.

The midpoint formula states that the coordinates of the midpoint between two points (x₁, y₁) and (x₂, y₂) are given by:

Midpoint = ((x₁ + x₂) / 2, (y₁ + y₂) / 2)

In this case, we have the coordinates of L as (x, y) = (x, y) and the coordinates of L' as (1, -4).

Using the midpoint formula, we can set up the following equation:

((x + 1) / 2, (y - 4) / 2) = (x, y)

Simplifying this equation, we get:

(x + 1) / 2 = x and (y - 4) / 2 = y

Solving the first equation, we have:

x + 1 = 2x

x = 1

Substituting this value back into the second equation, we get:

(y - 4) / 2 = y

y - 4 = 2y

y = -4

Therefore,

The point of rotation R is located at (1, -4).

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Find the product of (x + 3)(x - 3).
x^2 - 6x + 9
x^2 + 6x + 9
x^2 + 9
x^2-9

Answers

Step-by-step explanation:

So the question is easy ....the thing that you need to do is just to multiply the expression and organize the like terms....okay so lets solvee..

\((x + 3)(x - 3)\)

Solution,

\( = x(x - 3) + 3(x - 3)\)

\( = {x}^{2} - 3x + 3x - 9\)

\( = {x}^{2} - 9\)

PLS HELP 100 POINTS ILL EVEN SEND U 50 AFTER IF U HELP

USE THE PIC


10.) Huntington’s disease is an autosomal dominant genetic disorder causing a breakdown of the brain. Write in the genotypes on the line next to / below each individual.

PLS HELP 100 POINTS ILL EVEN SEND U 50 AFTER IF U HELPUSE THE PIC10.) Huntingtons disease is an autosomal

Answers

Answer:

1.dd

2.Dd

3.dd

4.Dd

5.dd

Explanation:

It's genetics

   D     d

d   D     d

d   D     d

1. 7x – 3 = 5x + 5
Help .?

Answers

The answer is x=4
_______________

Answer:

x = 4

Step-by-step explanation:

7x - 3 = 5x + 5 --> 7x - 5x = 5 + 3 --> 2x = 8 --> x = 4.

You can check by substitute x = 4 back to the original equation.

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use what you know about zeros of a function and end behavior of a graph to choose the graph that matches the function f(x) = (x 3)(x 2)(x − 1).

Answers

Based on the zeros and the end behavior of the function, we can choose the graph that matches these characteristics. The graph should have x-intercepts at x = 0 (with multiplicity 3) and x = 1, and it should exhibit a rising behavior on both sides.

The given function f(x) = (x^3)(x^2)(x - 1) is a polynomial function. By analyzing the factors of the function, we can determine its zeros, which are the x-values where the function equals zero.

The zeros of the function occur when any of the factors equal zero. Setting each factor to zero, we find the following zeros:

x^3 = 0  --> x = 0

x^2 = 0  --> x = 0

x - 1 = 0  --> x = 1

Therefore, the zeros of the function are x = 0 (with multiplicity 3) and x = 1.

Now, let's consider the end behavior of the graph. As x approaches negative or positive infinity, we can determine the behavior of the function.

Since the highest power of x in the function is x^3, we know that the end behavior of the graph will match that of a cubic function. If the leading coefficient is positive, the graph will rise to the left and rise to the right. If the leading coefficient is negative, the graph will fall to the left and fall to the right.

In the given function, the leading coefficient is positive (since the coefficient of x^3 is 1). Therefore, the graph of the function will rise to the left and rise to the right as x approaches negative or positive infinity.

Based on the zeros and the end behavior of the function, we can choose the graph that matches these characteristics. The graph should have x-intercepts at x = 0 (with multiplicity 3) and x = 1, and it should exhibit a rising behavior on both sides.

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fastt
13. Calculate the compound interest of an annuity due of BD400 paid each 4 months for 6.2 years if the nominal rate is 3% thirdly? (3 Points)

Answers

Therefore, the compound interest of the annuity due of BD 400 paid each 4 months for 6.2 years at a nominal rate of 3% per annum is BD 40,652.17.

Compound interest of an annuity due can be calculated using the formula:A = R * [(1 + i)ⁿ - 1] / i * (1 + i)

whereA = future value of the annuity dueR = regular paymenti = interest raten = number of payments First, we need to calculate the effective rate of interest per period since the nominal rate is given per annum. The effective rate of interest per period is calculated as

:(1 + i/n)^n - 1 = 3/1003/100 = (1 + i/4)^4 - 1

(1 + i/4)^4 = 1.0075i/4 = (1.0075)^(1/4) - 1i = 0.0303So,

the effective rate of interest per 4 months is 3.03%.Next, we can substitute the given values in the formula:

A = BD 400 * [(1 + 0.0303)^(6.2 * 3) - 1] / 0.0303 * (1 + 0.0303)A = BD 400 * [4.227 - 1] / 0.0303 * 1.0303A = BD 400 * 101.63A = BD 40,652.17

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Helppp!!!!!!!!!!!!!!!!!!!!!

Helppp!!!!!!!!!!!!!!!!!!!!!

Answers

The value of x is equal to 15°

How to determine the value of x?

In Mathematics and Geometry, the sum of the exterior angles of both a regular and irregular polygon is always equal to 360 degrees.

Note: The given geometric figure (regular polygon) represents a pentagon and it has 5 sides.

By substituting the given parameters, we have the following:

3x + 4x + 8 + 5x + 5 + 6x - 1 + 5x + 3 = 360°.

3x + 4x + 5x + 6x + 5x + 8 + 5 - 1 + 3 = 360°.

23x + 15 = 360°.

23x = 360 - 15

23x = 345

x = 345/23

x = 15°.

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What is a way you can find the vaule of x

Answers

Answer:To find the value of x, bring the all the variable to the left side and bring all of the remaining values to the right side. You then simplify the values to find the answer.

Step-by-step explanation:

Answer:

im not sure bud because i don't know  what is the full question?

Step-by-step explanation:

Please help! Will mark brainliest!!

Please help! Will mark brainliest!!

Answers

Answer:

x=2+\sqrt{6}, :x=2-\sqrt{6}

Step-by-step explanation:

those are the 2 awnsers

Step-by-step explanation:

\((x - |2| ){}^{2} = 2 + {2}^{2} \)

\(x - 2 = \sqrt{6} \\ x = + - \sqrt{6} + 2 \\ x = - \sqrt{6} + 2 \\ x = \sqrt{6} + 2\)

A hair product company sells three types of hair products for $30, $20, and $10 per unit. In one year, the total revenue for the three products was $1,100,000, which corresponded to the sale of 54,000 units. The company sold half as many units of the $30 product as units of the $20 product. Use RREF to solve a system of linear equations to find how many units of each product were sold. (Let x correspond to the $30 product, y correspond to the $20 product, and z correspond to the $10 product and use RREF to solve.)

Answers

x = 14000

y = 28000

z = 12000 units of each product were sold.

Solving this with the help of equation.

What is an equation?

The meaning of such an equations in algebra is just a mathematical expression stating the equality between two mathematical terms. For instance, 6x + 5 = 11 is an equation where 6x + 5 and 11 are two expressions separated by the 'equal' sign.

Identity equations and conditional equations are the two types of equations. For just any value of both the variables, an equality remains true. Only such variables have values that make a condition expression true. Two expressions joined by an equals sign ("=") form an equation.

Let, x, y and z are the three types of products.

In one year, the total revenue for the three products was $1,100,000, which corresponded to the sale of 54,000 units.

Thus, 30x + 20y + 10z = 1,100,000 ............ (i)

x + y + z = 54000 ............... (ii)

The company sold half as many units of the $30 product as units of the $20 product, so, x = y/2

putting this in equation (i)

thus, 30x + 20 (2x) + 10z = 1,100,000

70x + 10z = 1100000 ......... (iii)

next putting the value of y = 2x in equation (ii) we get -

3x + z = 54000......... (iv)

Solve this two equation we get -

40x = 560000

or, x = 14000

now, y = 2x = 28000

z = 54000 - 3(14000)

z = 12000

Now, x = 14000

y = 28000

z = 12000 units of each product were sold.

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The units of each three types of product sold are 14000, 28000, and 12000 using equations.

What is an equation?

Algebraic equations simply state the equivalence of two mathematical terms in a mathematical statement. For instance, the equation 6x + 5 = 11 has the two expressions 6x + 5 and 11 separated by the 'equal' sign.

The two forms of equations are identity equations and conditional equations. For just any value of both variables, equality remains true.

Let, x, y and z are the three types of products.

The three items generated a combined $1,100,000 in revenue in a calendar year, which is equal to the sale of 54,000 units.

30x + 20y + 10z = 1,100,000 ............ (i)

x + y + z = 54000 ............... (ii)

The company sold half as many units of the $30 product as units of the $20 product, so, x = y/2

Putting this in equation (i)

Thus, 30x + 20 (2x) + 10z = 1,100,000

70x + 10z = 1100000 ......... (iii)

Next putting the value of y = 2x in equation (ii) we get -

3x + z = 54000......... (iv)

Solve these two equation we get -

40x = 560000

Or, x = 14000

Now, y = 2x

= 28000

z = 54000 - 3(14000)

z = 12000

Now, x = 14000

y = 28000

z = 12000

These units of each product were sold.

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Three Bears
In the land of Plentiful Honey, lived three bears: Papa
Bear, Mama Bear and Baby Bear. They had three pots
of honey: one large, one medium, and one small. One
day they found themselves carrying the pots of honey
down a path. Papa was carrying the medium pot, while
Mama was carrying the small pot, and Baby was
carrying the large pot. This was clearly inequitable and they decided to trade pots, so that
each was proportional to the size of the bear. It may seem there is a simple solution to their
dilemma, however, the rules for transferring pots in the land of Plentiful Honey are quite
complicated. They are:
a) Only one pot of honey can be passed at a time.
b) fa bear is holding two pots of honey, only the smaller pot may be transferred.
• A honey pot may not be transferred to a bear that is holding a smaller pot.
d) Pots may not be set on anything, such as the ground or a stump.
Diagram or explain the sequence of the transferring of honey pots, so that Papa Bear has the
large pot, Mama Bear the medium pot, and Baby Bear the small pot.

Answers

Answer:

  m→B, s→P, m→M, s→M, l→P, s→B

Step-by-step explanation:

The initial state is ...

  (Baby, Mama, Papa) = (Large, Small, Medium)

The large pot can only be transferred from someone holding only that pot, and only to someone holding no pots. The small pot can go anywhere any time.

Transfer the medium pot to Baby.

  (B, M, P) = ({L, M}, S, –)

Transfer the small pot to Papa.

  (B, M, P} = ({L, M} –, S)

Transfer the medium pot to Mama.

  (B, M, P) = (L, M, S)

Transfer the small pot to Mama.

  (B, M, P) = (L, {M, S}, –)

Transfer the large pot to Papa.

  (B, M, P) = (–, {M, S}, L)

Transfer the small pot to Baby.

  (B, M, P) = (S, M, L) . . . . . . desired end condition

Determine the number of significant digits in each number, and write the specific significant digits.
a. 405000 b. 0.0098 c. 39.999999
d. 13.00 e. 80,000,089 f. 55,430.00 g.. 0.000033 h..620.03080

Answers

a. 405000 - 6 significant digits        b. 0.0098 - 2 significant digits

c. 39.999999 - 9 significant digits   d. 13.00 - 4 significant digits

e. 80,000,089 - 8 significant digits  f. 55,430.00 - 7 significant digits

g. 0.000033 - 2 significant digits     h. 620.03080 - 8 significant digits

How many significant digits?

a. The number 405,000 has four significant digits: 4, 0, 5, and 0.

b. The number 0.0098 has two significant digits: 9 and 8.

c. The number 39.999999 has eight significant digits: 3, 9, 9, 9, 9, 9, 9, and 9.

d. The number 13.00 has four significant digits: 1, 3, 0, and 0.

e. The number 80,000,089 has eight significant digits: 8, 0, 0, 0, 0, 0, 8, and 9.

f. The number 55,430.00 has six significant digits: 5, 5, 4, 3, 0, and 0.

g. The number 0.000033 has three significant digits: 3, 3, and 3.

h. The number 620.03080 has eight significant digits: 6, 2, 0, 0, 3, 0, 8, and 0.

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The box-and-whisker plots show the speed, in miles per hour, for each of 10 fish and 10 mammals. Speed of 10 F 30 50 D 60 Speed of 10 Mammals + 60 70 30 40 50 70 Letecia wants to predict the speeds of one additional fish and one additional mammal. She notices that the box-and-whisker plots show that about 75% of the fish were faster than 40 mph and that about 75% of the mammals were slower than 50 mph. Based upon this information, which prediction about the speeds of the additional fish and the additional mammal is justified? A The speed of the fish will be less than 40 mph, and the speed of the mammal will be greater than 50 mph. The speed of the fish will be greater than 40 mph, and the speed of the mammal will be less than 50 mph. The speed of the fish will be greater than 40 mph, and the speed of the mammal will be greater than 50 mph. The speed of the fish will be less than 40 mph, and the speed of the mammal will be less than 50 mph.​

The box-and-whisker plots show the speed, in miles per hour, for each of 10 fish and 10 mammals. Speed

Answers

Based on the information, the only prediction that is justified is that the speed of the fish will be greater than 40 mph, and the speed of the mammal will be less than 50 mph.

Therefore option B  is  correct.

How do we know this?

Based on the given information above, we were able to deduct that about 75% of the fish were faster than 40 mph and about 75% of the mammals were slower than 50 mph.

We can go ahead and use this information to make predictions about the speeds of one additional fish and one additional mammal.

Note that the median speed is around 50 mph, and the upper quartile (75th percentile) is around 60 mph and  we know that about 75% of the fish were faster than 40 mph, we can predict that the additional fish will have a speed greater than 40 mph. However, since the upper quartile is only at 60 mph, we cannot predict that the additional fish will have a speed greater than 60 mph. Therefore, the only prediction that is justified is that the speed of the fish will be greater than 40 mph, which eliminates options A and D.the only prediction that is justified is that the speed of the fish will be greater than 40 mph, and the speed of the mammal will be less than 50 mph, which is option B

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