Please help answer this !!!!

Please Help Answer This !!!!

Answers

Answer 1

The area of the rectangle with a length of (x + 5) cm and width of (x + 2) cm is (x² + 7x + 10) cm²

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

A rectangle is a quadrilateral (has four sides and four angles) in which opposite sides are equal and parallel. The area of a rectangle is the amount of space that it occupies. The area is calculated using:

Area = length * width

The rectangle shown has a length of (x + 5) cm and width of (x + 2) cm. Hence:

Area = length * width

Substituting:

Area = (x + 5)(x + 2)

Area = x² + 2x + 5x + 10

Area = (x² + 7x + 10) cm²

The area of the rectangle is (x² + 7x + 10) cm²

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Related Questions

-9a-2(9a-5) need help

Answers

Answer: -81a^2 + 27a + 10

Step-by-step explanation: We can do this question by using FOIL (first, outer, inner, last)

(-9a-2)(9a-5)

First, multiply the first two terms in the parentheses

-9a times 9a is -81a^2

Second, multiply the outer terms

-9a times -5 is 45a

Third, multiply the inner terms

-2 times 9a is -18a

And lastly, multiply the last terms

-2 times -5 is 10

After doing this we end up with -81a^2 + 45a - 18a + 10 = -81a^2 + 27a + 10

What is the area of this

Answers

Answer:

Step-by-step explanation:

The triangle on the right side fits into the missing part of the left side.

So what I did is (5+4) and times 10 = 90m.

P.s:If I'm wrong I'm sorry.

Step-by-step explanation:

well, it is a rectangle, where an isoceles right-angled triangle is cut off in the top left corner, but that triangle is added to the top right corner.

so, the area is the same as the regular rectangle.

we know, the area of a rectangle is

length × width

now, we know the length for sure (10 m).

what is the width ?

we know the part of the width until the triangle is 5 m.

and we know the leg length of the triangle is 4 m.

the width is simply the sum of the basic part and the leg length

5 + 4 = 9 m

so the area of all this is

10 × 9 = 90 m²

pls help immediately i need in 15 minutes

Answers

Answer:

23.75483

Step-by-step explanation:

I used a calculator lol

17 A customer wants to make screen wash from concentrate and water.
The diagram shows the amount of concentrate she puts into a container.
ml 1000-
800
600
400
200
The customer adds water into the container up to the 1000 ml division.
W67780A

Answers

Ratio of concentrate and water in 1:1 would be most reliable for this situation. Thus, A is the correct option.

What is Ratio?

A ratio is a way to compare two or more comparable quantities by writing the numbers with a colon in between each one. The figures must be whole numbers without any units.

You must practise the techniques described here repeatedly until they are automatic in order to master them. After reading this text and/or watching the related video tutorial, you should be able to:

• calculate the ratio of two or more similar quantities, regardless of whether they are expressed in the same units;

• divide a quantity into a number of parts in given ratios;

• use ratios to scale up or scale down a list of ingredients.

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Correct answer:

A customer wants to make screen wash from concentrate and water.

The diagram shows the amount of concentrate she puts into a container.

ml

1000

800

600

400

200

The customer adds water into the container up to the 1000 ml division. Which Ratio of concentrate and water would be most reliable.

A.  1:1

B. 4:5

C. 2:5

D. 1:5

Edward marks exam scripts for a grade 11 extra class he charges R150 for a maths paper 1 script and R200 maths paper 2 scripts as shown below

What type of relationship is shown on the graph

Answers

The type of relationship shown on the graph that depicts Edward's exam scripts is a Linear relationship.

What is a linear relationship ?

A straight-line link between two variables is referred to statistically as a linear relationship (or linear association). Both a graphical representation of a linear relationship, in which the variable and constant are connected by a straight line, and a mathematical representation, in which the dependent variable is determined by multiplying the independent variable by the slope coefficient and a constant.

Linear relationships can be represented graphically or mathematically as the equation y = mx + b.

Edward's cost per math paper 1 or math paper 2 script marked will change depending on the type of paper and the number of papers. This simply means that Edward's charges are increasing per paper marked which is shown a linear relationship in the attached graph.

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HELPP PLSSSSS ! ILL MARK U BRANLIEST

Answers

Integer multiplication and division are two fundamental operations on integers. Integer multiplication is the same as repeated addition, which involves adding an integer a particular number of times.

4 3 means to multiply 4 three times, i.e. 4 + 4 + 4 Equals 12. Integer division denotes the equal grouping or division of an integer into a certain number of groups. For example, -6 2 denotes splitting -6 into two equal halves, yielding -3. In this topic, we will study more about integer multiplication and division. Integer multiplication is the process of repetitive addition of positive and negative numbers, or simply integers. When it comes to integer multiplication, the following situations must be considered:

2 positive numbers multiplied

2 negative numbers multiplied

1 positive and 1 negative number multiplied

Integer division entails grouping of objects. It contains both positive and negative numbers. Division of numbers, like multiplication, involves the same instances.

2 positive numbers divided

2 negative numbers divided

1 positive and 1 negative number divided

When you divide numbers by two positive signs, Positive = Positive 16 8 = 2.

When two negative signs are used to divide integers, Negative Negative = Positive -16 -8 = 2.

Negative Positive = Negative -16 8 = -2 when you divide numbers with one negative sign and one positive sign.

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NO LINKS!!!

Please help me with these Venn Diagram circles

Answers

Note1. It is considered in the answer below that polygons with more than 4 sides are all regular polygons.Note2. Only considered polygons up to octagon (8 - sided polygon).

Problem 1

Circle 1                      

Figures with more than 3 sides but with no pairs of parallel sides:

Kite,Pentagon,Heptagon

Intersection

Figures with more than 3 sides and with one or more pairs of parallel sides, almost all even sided polygons:

Square,Parallelogram,Rhombus,Trapezoid,Rectangle,Hexagon,Octagon

Circle 2

Figures with one or more pairs of parallel sides:

Empty, all included into intersection region

Problem 2

Circle 1                      

Figures with less than 4 sides:

Scalene triangle

Intersection

Figures with less than 4 sides and with at least two sides of equal length:

Equilateral triangle,Isosceles triangle

Circle 2

Figures with at least two sides of equal length:

Square,Rectangle,Rhombus,Kite,Isosceles trapezoid,Pentagon,Hexagon,Heptagon,Octagon

Problem 3

Circle 1                      

Figures with at least one curved side:

CircleIntersection

Figures with at least one curved side and with at least one obtuse angle:

Empty, not considering combination of shapes

Circle 2

Figures with at least one obtuse angle (polygons with more than 4 sides will have obtuse angles)

Trapezoid,Rhombus,Kite,Parallelogram,Pentagon,Hexagon,Heptagon,Octagon

The conjugate of x-14 is?

Answers

Step-by-step explanation:

the conjugate is where we change the sign in the middle of the two terms

so we change the - to a +

x + 14 is our answer

A study done at a polling organization Randomly surveyed 1031 adults by phone. The poll found that 42% of the respondents said they spend less than three hours a day watching TV. Based on this finding calculate to 2 decimals places the ((% confidence interval for the proportion of US adults who spend less than three hours watching TV on an average day.

Answers

Answer: To calculate the % confidence interval for the proportion of US adults who spend less than three hours watching TV on an average day, we can use the following formula:

p +/- z*(sqrt(p(1-p)/n))

Where:

p = proportion of US adults who spend less than three hours watching TV on an average day (0.42)

z = standard normal score for a given level of confidence (e.g. for a 95% confidence level, z = 1.96)

n = sample size (1031)

Plugging in the given values, we get:

0.42 +/- 1.96*(sqrt(0.42*(1-0.42)/1031))

Simplifying, we get:

0.42 +/- 0.0156

So the 95% confidence interval for the proportion of US adults who spend less than three hours watching TV on an average day is approximately (0.40,0.44)

So the answer is (0.40,0.44)

Step-by-step explanation:

1/5+3/10 as a proper fraction

Answers

Answer: 1/2

Step-by-step explanation:

Add

1/5+3/10=5/10

Find common denominator

1/5+3/10=1*2/5*3+3*1/10*1=2/10+3/10

10 is the least common multiple of denominators 5 and 10. Use it to convert to equivalent fractions with this common denominator.

Add

2/10+3/10=2+3/10=5/10

Simplify

5/10=1/2

5 is the greatest common divisor of 5 and 10. Reduce by dividing both the numerator and denominator by 5.

Hope it saved your day and don't forget to rate-me down below!

Thank you,Edwin

Need help with the first and third problem

Answers

In the given graph, expression of function f(x)  in following interval of values of x is,

1. In interval -6 ≤ x ≤ -3; F(x) =  (3x-1)/2

2. In interval 2 ≤ x ≤ 6; F(x) = -2x+7

What is the equation of line?

The equation of a straight line is a relationship between x and y coordinates, The general equation of a straight line is y = mx + c, where m is the slope of the line and c is the y-intercept.

In the given graph,

In interval -6 ≤ x ≤ -3

we can make equation of line by using two point form of straight line,

y-y₁ =  y₂-y₁/x₂-x₁(x-x₁)

points are (-6, 0.5) and (-3, 5)

After putting both the points in the equation

⇒ 2y = 3x-1

Similarly, in the interval 2 ≤ x ≤ 6

for the points (3,2) and (6, -5)

⇒ 2x + y =7

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A can of soda can be modeled as a right cylinder. Ajay measures its height as 8.9 cm
and its radius as 1.9 cm. Find the volume of the can in cubic centimeters. Round your
answer to the nearest tenth if necessary.

Answers

Answer:

The formula for the volume of a cylinder is V = πr^2h, where r is the radius and h is the height.

So, using the given measurements, we can substitute in the values and solve for the volume:

V = π(1.9 cm)^2(8.9 cm) = 301.958 cm^3

Rounded to the nearest tenth, the volume of the can is 301.9 cm^3.

Step-by-step explanation:

Pls answer................

Answers

Answer:

m<C = 43°

Step-by-step explanation:

m<P = m<A = 45°

m<B = (5x + 2)°

m<Q = 6x - 16

m<Q = m<B

6x - 16 = 5x + 2

x = 18

m<B = m<Q = 5 × 18° + 2° = 92°

m<A + m<B + m<C = 180°

45° + 92° + m<C = 180°

m<C = 43°

Looking for the answer of a to the power of 3 - B to the power of 3

Answers

The expression a³ - b³ is not a feasible mathematical operation.

What are index forms?

The index form of a number is described as that number that is written in the form of an exponential expression, or single number having another number or variable as its power.

It is a mathematical method of writing numbers that are too large or too small in a more convenient form.

Other names for index forms are standard forms and scientific notation.

Some of the rules for the addition, subtraction or multiplication of index forms are;

In multiplying index forms, the bases must be the same for you to add the powers. In dividing index forms, the bases must be the same for subtraction of the exponential valuesIn the presence of brackets, multiply the powers

From the information given, we have that;

a³ - b³

From the rules given, this is not mathematically feasible as the bases are not similar.

Hence, the expression is non-feasible

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6⁵×6*=6¹ jdkdjdjbddjdbdjbdbsbsksns

Answers

Answer:

-4

Step-by-step explanation:

[tex] 6^5 \times 6^n = 6^1 [/tex]

When you multiply powers with the same bases, add the exponents.

[tex] 6^{5 + n} = 6^1 [/tex]

[tex] 5 + n = 1 [/tex]

[tex] n = -4 [/tex]

Answer: -4

(3x3y)(-14x2y2z) can someone solve this

Answers

Answer:

-252 y^3 z

Step-by-step explanation:

easy qs no need steps

help me with this one

Answers

Answer:

Angle A is 66°

Step-by-step explanation:

< b  is equal to 57 because the opposite side lengths are equal.

The sum of the interior angles of a triangle is 180

180 - 57 - 57 = 66

(04.03 LC)
Which of the following fractions compares BC to BD?
O
213
O
5/2
-3-
-24
2
O
1
O
-1-
B
T
C
2
D
3 4
5
6

Answers

The fraction compares BC to BD is 2/3. Therefore, option A is the correct answer.

What is distance formula?

The distance formula which is used to find the distance between two points in a two-dimensional plane is also known as the Euclidean distance formula. On 2D plane the distance between two points (x₁, y₁) and (x₂, y₂) is Distance = √[(x₂-x₁)²+(y₂-y₁)²].

Given that, the coordinate points are B(0,1), D(3 ,1) and C(2, 1).

Here, BC is

BC=√[(2-0)²+(1-1)²]

BC=2 units

BD is

BD= √[(3-0)²+(1-1)²]

BD= 3 units

The fraction compares BC to BD is 2/3

Therefore, option A is the correct answer.

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"Your question is incomplete, probably the complete question/missing part is:"

Which of the following fractions compares BC to BD? coordinate plane with segment BD at B(0,1) and D(3 ,1); point C is on segment BD and (2, 1).

Answer choices:

A) 2/3

B) 5/2

C) 2/5

D) 3/2

Answer:

2/5

Step-by-step explanation:

d = √[(x2 - x1)² + (y2 - y1)²]

For segment BD:

BD = √[(5 - 0)² + (1 - 1)²]

= √[5² + 0²]

= √25

= 5

For segment BC:

BC = √[(2 - 0)² + (1 - 1)²]

= √[2² + 0²]

= √4

= 2

Some students collected the data below month and average temperatures. They will graph the data. What is the y-intercept? Your answer should be an ordered pair/

Answers

The y intercept of the data collected is 42°C

What is an equation?

An equation is an expression composed of variables and numbers linked together by mathematical operations.

The slope intercept form of a linear equation is:

y = mx + b

Where m is the slope (rate of change) and b is the y intercept.

Let y represent the average temperature and x represent the month. x = 0 represent the month January.

From the table, at January, the average temperature is 42°C. Hence the y intercept is 42°C.

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The ratio of the areas of two similar polygons can be found by using the ratio of their perimeters or the ratio of similarity and squaring it.

Answers

The ratio of the areas of two similar polygons can be found by using the ratio of their perimeters or the ratio of similarity and squaring it which is true.

What is a polygon?

The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.

Similar polygons are those whose perimeter ratios are identical to their respective scale factors. The common fraction of the sizes of two matching sides of two identical polygons is known as a scale factor.

The given statement is true.

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Square ABCD has a diagonal AC with the given vertices. Find the coordinates of the remaining vertices.
A(2, 2) and C(6,-2)
The coordinates are ( , ) and ( , )

Answers

The coordinates of the remaining vertices exists (2√(13),1) and (-2, 4√(13)).

What is meant by coordinates?

A group of values that exhibit precise positioning The first number on a graph represents the distance along, while the second number represents the distance up or down.

To find the coordinates of the remaining vertices of square ABCD, we can use the information given about diagonal AC and the properties of a square. Since a square has equal side lengths and right angles, we know that the distance between opposite vertices on a diagonal must be equal to the side length of the square.

Given the coordinates of vertex A and C, we can use the distance formula to find the length of AC:

Let the equation be Distance [tex]d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]

substitute the values in the above equation, we get

AC = [tex]\sqrt{((2 - (-2))^2 + (4 - 1)^2)}[/tex]

simplifying the equation, we get

AC = √(4 + 9) = √(13)

We can utilize the knowledge of the square's side length to determine the locations of the remaining vertices. Vertex B is known to have the same y-coordinate as vertex A, while vertex C is two units to the left in terms of the x-coordinate. Therefore, the coordinates of vertex B exists (-2 + 2√(13), 1).

Similar to vertex A, vertex D is known to have an identical x-coordinate, but its y-coordinate is four units below vertex C. Therefore, the coordinates of vertex D exists (-2, 4√(13))

Therefore, the coordinates of the remaining vertices exists (2√(13),1) and (-2, 4√(13)) respectively.

The complete question is:

Square ABCD has a diagonal AC with vertices A(-2, 1) and C(2, 4). Find the coordinates of the remaining vertices. Express your answers as decimals, if necessary.

The coordinates are and D.

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What is the equation for the translation of x2 + y2 = 64 three units to the left and two units down?

(x − 3)2 + (y − 2)2 = 64

(x + 3)2 + (y + 2)2 = 64

(x + 3)2 + (y − 2)2 = 64

(x − 3)2 + (y + 2)2 = 64

Answers

Answer: The equation for the translation of x2 + y2 = 64 three units to the left and two units down is:

(x − 3)2 + (y − 2)2 = 64

Step-by-step explanation:

This is known as the standard equation of a circle centered at (3, 2) with a radius of 8.

When translating a shape, we need to change the center point of the shape. If we want to translate 3 units to the left and 2 units down, it means that we need to change the center point of the shape from the origin to (3, 2). This can be achieved by subtracting 3 from x and subtracting 2 from y in the equation of the circle. This results in (x - 3)2 + (y - 2)2 = 64, which is the equation for the translated circle.

Answer: (x - 3)^2 + (y - 2)^2 = 64.

Step-by-step explanation:

This is because to translate a point or a function in the x-axis by a certain value we need to add or subtract the value from the x variable. To translate in the y-axis we need to add or subtract the value from the y variable. In this case, we are translating it three units to the left, so we subtract 3 from x, and two units down so we subtract 2 from y.

Solve and check the linear equation.
4(x-2)+11=3(x+3)


What is the solution?

Answers

Answer:

Step-by-step explanation:

4(x-2)+11=3(x+3)

Use distributive property to get rid of the parentheses

4x-8+11=3x+9

Simplify the addition and subtraction

4x+3=3x+9

subtract 3 on both sides and 3x on both sides to isolate x

x=6

What is the equation of the midline of the sinusoidal function

Answers

Answer: y = 0

Step-by-step explanation:

A midline of a sinusoidal function is the horizontal center line about which the function oscillates above and below. For y = sin x, the midline is y = 0 (the x-axis). The midline is parallel to the x-axis and is located halfway between the graph's maximum and minimum values.

What is the standard form of the equation of a quadratic function with roots of 3 and −1 that passes through (1, −10)?
y = 2.5x2 − 5x + 7.5 y = 2.5x2 − 5x − 7.5 y = −2.5x2 − 5x + 7.5 y = −2.5x2 − 5x − 7.5

Answers

The quadratic equation with the given zeros is:

y = 2.5*x^2 - 5x - 7.5

How to find the quadratic equation?

For a quadratic equation with the zeros h and k, and a leading coefficient a is:

y = a*(x - h)*(x - k)

Here we know that the zeros are 3 and -1, replacing these values we will get:

y = a*(x - 3)*(x + 1)

Finally, we also know that the quadratic goes through (1, -10)

Replacing these values we will get:

-10 = a*(1 - 3)*(1 + 1)

-10 = a*(-2)*2

-10 = -4a

10/4 = a

5/2 = a = 2.5

Then the quadratic equation is:

y = 2.5(x - 3)*(x + 1)

Expanding that we will get:

y = 2.5*(x^2 - 3x + x - 3)

y = 2.5*x^2 - 5x - 7.5

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carlos plays the game for 25 minutes use the equation of the line of fit to predict his score

Answers

Answer:

145

Step-by-step explanation:

We have the equation 5x+20 for the line of best fit

Let x = 25

y = 5*25+20

  = 125 + 20

  = 145

The score should be 145 when he plays for 25 minutes

Solve.
Find the area of the following shape made of rectangles.

A 176 m²
B 172 m²
C 52 m²
D 180 m²

Answers

The area of the shape in the figure is calculated to be 180 m²

How to find the area of the shape

The area of the shape in the figure can be solved by breaking the shape into three rectangles, calculating the area of each rectangle and adding up

Area of rectangle is calculated by the formula

= length *  width

Area of the first rectangle

= 4 * 16

= 64

Area of the second rectangle

= (16 - 4) * (12 - 4 - 5)

= 12 * 3

= 36

Area of the third rectangle

= 16 * 5

= 80

Adding up

= 80 * 36 * 64

= 180 m²

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Julio is using Scale modles to help remodel his kitchen. Julio makes a Scale drawing of the kitchen floor to determine how many square feet of flooring he needs to buy. The Scale of his drawing is 1 inch: 4 feet.

Answers

The length of actual kitchen floor is 18 ft and the width of actual kitchen floor is 13.5 ft.

What is scale?

The ratio that describes the relationship between the actual figure and its model is called the scale. It serves as a representation of the actual figures in smaller units on maps. A scale of 1:5, for instance, means that 1 on the map is equivalent to the size of 5 in the real world.

A scale is a group of levels or numbers that are applied to a specific system of measurement or comparison.

Given:

Julio is using Scale models to help remodel his kitchen.

Julio makes a Scale drawing of the kitchen floor to determine how many square feet of flooring he needs to buy.

The Scale of his drawing is 1 inch: 4 feet.

we know that

scale ---------->  inch / 4 feet = 0.25 in/ft

[scale] = [scale drawing] / [actual]

[actual] = [scale drawing] / [scale]

for length --------> 4 1/2 in ---------> 4.5 in  (scale drawing)

[actual] = [4.5] / [0.25] =18 ft

for width ---------> 3 3/8 in ---> (3*8+3)/8 ---> 27/8 in  (scale drawing)

[actual] = [27/8] / [0.25] = 13.5 ft

Hence,  the length of actual kitchen floor is 18 ft and the width of actual kitchen floor is 13.5 ft.

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Complete question:

Julio makes a scale drawing of the kitchen floor to determine how many square feet of flooring he needs to buy . The scale of his drawing is 1 inch:4 feet. (The length is 4 1/2 and the width is 3 3/8)

What is the actual are of Julio's kitchen floor?

GEOMETRY HELPPP I NEED HELP

Answers

Answer:

91 degrees

angles on a straight line add up to 180

x = 180-89 = 91

therefore angle 5 is 91

Eliana loves music, especially 80's punk rock. Eliana looked at the number of songs in her itunes account and she has 6 less than 4 times her best friend. Eliana's classmate David has 3 more than double her best friend. When talking to her Social Studies teacher, Eliana found out social study teacher has 7 more than two times the number of songs in his library than Eliana. Define a variable, then write and solve an equation. If the total number of songs is 382, how many songs does Eliana, her best friend, David and her social study teacher have?

Answers

Answer

Step by step explantion:

bsf= 26

Eliana:98

SS teacher=203

David=55

Step-by-step explanation:

m= music

bsf: m

eliana:4m-6

David:2m+3

SS teacher: 2(4m-6)+7

m+4m-6+2m+3+8m-12+7

382=15m-7

7+ +7

389=15m

/15m /15m

m=26

multiply 26 to each one of them

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(choose 2) in 1854, senator douglas introduced a bill to set up a government in the nebraska territory based on popular sovereignty. congress then compromised with the kansas-nebraska act, which divided the region into two territories. what problem did some northerners have with the kansas-nebraska act? what is the thin layer of connective tissue that must be removed when preparing a lamb loin for roasting? what year was Richard Nixon president Assume that you have been hired as the marketing manager for Andrew's Bicycle World, which has three stores in your state. Andrew's has been in business almost 20 years, but has seen the sales of its new bike models decline at each of its stores over the past couple of years. Andrew's is concerned about this trend and has asked you to conduct marketing research in order to determine what is happening and what actions should be taken. eBook Print References CONCEPT REVIEW The marketing research process is a well-defined set of steps that, if followed, should yield invaluable information concerning a firm's market. Marketing researchers use a variety of techniques and gather data from an assortment of sources to provide the goods and services truly desired by people. Regardless of the technique employed, firms follow five basic steps when they engage in the marketing research process For each action, select which part of the market research process it represents 1. Report your findings to Andrew and the other executives of the company / (Cick to selecti Probiem definition Pian development ta to see why the new bicycle models are not selling at Andrew's Dala colection Data analysis Taking ection in the mt. pinatubo video, the types of eruptive products and explosiveness of the eruption is what we expect in future eruptions from the cascade series of volcanoes along the west coast of the united states? rae, a designer for a business that installs underground sprinkler systems for residential and commercial customers, is experiencing some frustration. she has two bosses, bill and bailey, who both share the ownership responsibilities of the business. while bill is in charge of commercial accounts, bailey is in charge of residential accounts. sometimes, however, bill and bailey double book rae's time, creating irritations and animosity. since they share managerial responsibility, there is no clear way to decide whose accounts are most important. this type of situation represents a violation of fayol's principle of One of the things that Tyrone loves being able to do as a licensee is help his friends, family, and business associates with their real estate needs. In which of these situations does Tyrone NOT need to disclose his personal interest in the transaction how many cherokees were forced on the trail of tears in some parts of the world, forests are being cut down and burned to clear land for new homes and new farmland. a negative effect of these activities might be (1) an increase in global warming (2) destruction of the ozone shield (3) a decrease in the average temperature of the atmosphere (4) an increase in biodiversity of the deforested areas before she knew she was pregnant, moira had an x-ray on her abdomen when she was having pain. as radiation can be teratogenic, her unborn child may now be at a higher risk for which outcome? 11. A helium atom (mass = 4m) moving with speed v collides elastically with a deuterium (hydrogen 2)atom (mass = 2m) at rest. Calculate the percentage change in the kinetic energy of the helium atomafter the collision.a. 11%b. 36%c. 50%d. 89% Which of the following prospecting techniques do you have to use carefully because it has tended to upset people in recent years? true/false. The lag of the maximum is exhibited when: the maximum temperature during a year does not occur until autumn. the highest levels of solar radiation are not received until late afternoon. the warmest annual mean temperature occurs in the year following maximum CO2 emissions. the maximum temperature for the day occurs several hours after maximum solar radiation receipt. what is 1/13 of 18 as a proper fraction