Two alien spaceships start traveling toward each other from space stations that are 710,000 km apart. The first spaceship started an hour before the second spaceship and is traveling at 110,000 km/hr. In how many hours will the two spaceships meet if the second spaceship is traveling at 90,000 km/hr?


The spaceship will meet in how many hours?

Answers

Answer 1

The time that it will take for the spaceships to meet is given as follows:

3 hours.

How to model the situation?

Each of the spaceships is traveling at a constant rate, hence linear functions are used to model the situation.

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which the parameters are given as follows:

The slope m represents the velocity.The intercept b represents the initial position.

The positive direction is considered from the first spaceship towards the second spaceship.

The first spaceship started an hour before the second spaceship and is traveling at 110,000 km/hr, hence the difference when the second spaceship starts traveling is given as follows:

710,000 - 110,000 = 600,000 km.

Then the functions are given as follows:

x1(t) = 110t.x2(t) = 600 - 90t. (negative as they travel in opposite direction).

They will meet when:

x1(t) = x2(t).

Hence:

110t = 600 - 90t

200t = 600

t = 600/200

t = 3 hours.

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Answer 2

The time that it will take for the spaceships to meet is given as follows:

3 hours.

How to model the situation?

Each of the spaceships is traveling at a constant rate, hence linear functions are used to model the situation.

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which the parameters are given as follows:

The slope m represents the velocity.

The intercept b represents the initial position.

The positive direction is considered from the first spaceship towards the second spaceship.

The first spaceship started an hour before the second spaceship and is traveling at 110,000 km/hr, hence the difference when the second spaceship starts traveling is given as follows:

710,000 - 110,000 = 600,000 km.

Then the functions are given as follows:

x1(t) = 110t.

x2(t) = 600 - 90t. (negative as they travel in opposite direction).

They will meet when:

x1(t) = x2(t).

Hence:

110t = 600 - 90t

200t = 600

t = 600/200

t = 3 hours.

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Related Questions

nts
Insurance companies are interested in the average health costs each year for their dients, so that they can
determine the costs of health insurance. Match the vocabulary word with its corresponding example.
All of the insurance company's dients
The cost each year for health care
The average health care cost each year for all of the insurance company's dients
The average health care cost each year for the 400 dients that the insurance company
included in this study
The 400 dients that the insurance company included in this study
The list of the 400 annual health care costs for the dients that the insurance company
indude in the study
a. Parameter
b. Population
c. Sample
d. Statistic
e. Data
of Variable

Answers

All of the clients of the insurance company are the population, and the parameter is the annual average cost of health care for all of the clients of the insurance company.

what is variable ?

A variable in mathematics is a word or an alphabet that stands in for an unknowable quantity, value, or number. In the context of algebra or algebraic expression, the variables are employed specifically. Consider the linear equation x+9=4, which has 9 and 4 as constants and uses x as a variable.  There are many variables, including height, age, wealth, province of birth, academic standing, and kind of dwelling. The independent variable is often plotted on the x-axis whereas the dependent variable is typically plotted on the y-axis. The independent variable's value also determines

given

Information: The 400 clients' annual health care costs that the insurance provider included in the analysis.

-Variable: The expense of health care per year

400 clients were used as a sample in this study by the insurance business.

The insurance provider included 400 consumers in this survey, providing statistics on the average annual cost of health care for each of them.

-Parameter: The annual average cost of health care for all customers of the insurance provider.

All of the clients of the insurance company are the population, and the parameter is the annual average cost of health care for all of the clients of the insurance company.

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an ore is 1 1/2% pure silver. how much ore is needed to obtain 30 kilograms of silver?

Answers

Proportionately, the quantity of ore required to obtain 30 kilograms of silver is 2,000 kilograms.

What is proportion?

Proportion refers to two or more ratios equated to each other.

We can use decimals, fractions, or percentages to show the proportional value of one quantity or variable to another.

The quantity of ore that can produce 30 kilograms of silver, based on the given proportion, can be obtained by equating the ratio to the required silver quantity.

The percentage of ore that is pure silver = 1¹/₂% = (0.015)

The quantity of silver needed = 30 kilograms

The quantity of ore that can produce 30 kilograms of silver = 2,000 kilograms (30/0.015)

1¹/₂% = 30 kg

100% = 2,000 kg (30/1¹/₂%)

Thus, given the ratio or proportion of pure silver to ore, the quantity of ore needed to obtain 30 kilograms of silver is 2,000 kilograms.

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Rewrite 6 - 6 - 6 - 6 in exponential notation.

Answers

Rewriting 6-6-6-6 in exponential notation is -1.2×10¹

What is exponential notation?

Exponential notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form. It may be referred to as scientific form or standard index form, or standard form.

When writing in exponential notation, it must be in standard l i.e writing in this format 3.577× 10⁴ not 35.77× 10³.

Though both of the expression are literally correct but 3.577× 10⁴ is the acceptable way of writing a scientific notation.

similarly 6-6-6-6 will give -12

writing -12 in exponential notation is -1.2×10¹

Therefore the exponential notation of 6-6-6-6 is -1.2×10¹.

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The question is in the photo attached

Answers

Answer: 10,000

Step-by-step explanation: here's how I got my answer:

Since we are finding the decrease from 2005-2015, we need to multiply 1/20 by 10, since the timespan is 10 years worth of decreasing.

So, 1/2 * 10 =1/2

So, since we have 1/2 as the overall decrease in the population within the 10 years, we divide 20,000 by 1/2 or 20,000 by 2, and we get 10,000. I hope this helps.

This is an unusual question it isn't school related but I'm trying to reverse engineer a formula for WAR ( Baseball statistic) using the variables of OBP (.340) SLG (.430) league average OBP (.324) league average SLG (.413) plate appearances (600) and games played (150) the WAR after all that is an even 2.0 so I'm wondering if anyone on here could reverse engineer an equation using those variables to get 2 as an answer please and thank you

Answers

WAR, or Wins Above Replacement, is a statistic that attempts to measure a player's overall contribution to their team in terms of the number of wins they have provided. It is a cumulative statistic, meaning that it takes into account a player's performance across multiple categories and is intended to provide a comprehensive measure of their value.

There are a few different methods that can be used to calculate WAR, and the specific formula used can depend on the source and the specific requirements of the calculation. In general, however, WAR is calculated by first determining the player's offensive and defensive contributions and then adding these together to get the overall WAR value.

To reverse engineer a formula to get a WAR value of 2.0 using the given variables, you would need to consider how these variables are typically used in the calculation of WAR and work backwards to determine the appropriate formula. This may involve some trial and error, as there is not a single "standard" formula that is used universally for calculating WAR.

what is the coefficient of Q in the sum of
(2/3q - 3/4) and (-1/6q - 2)


please help me out​

Answers

The coefficient of Q in the sum of (2/3q - 3/4) and (-1/6q - 2) is 1/3.

The coefficient of Q in the first term, 2/3q, is 2/3. The coefficient of Q in the second term, -1/6q, is -1/6. The sum of these coefficients is (2/3) + (-1/6) = 1/3. Therefore, the coefficient of Q in the sum of the two terms is 1/3.
Can you please give me brainiest.

Bradenton Bakery is baking a cake for a customer's quinceañera. The cake mold is shaped like a cylinder with a diameter of 12 inches and height of 8 inches.

Which of the following shows a correct method to calculate the number of cubic units of cake batter needed to fill the mold? Approximate using pi equals 355 over 113.

V equals 355 over 113 times 12 squared times 8
V equals 355 over 113 times 6 squared times 8
V equals 355 over 113 times 8 squared times 6
V equals 355 over 113 times 8 squared times 12

Answers

Therefore , the solution of the given problem of volume comes out to be

V =355/113 * (5)² * 7  thus correct option is V equals 355 over 113 times 6 squared times 8.

Define volume.

Volume, which is expressed in cubic units, is a unit of measurement for the 3-dimensional space occupied by matter or encircled by a surface. The SI unit of volume = area * height is the cubic metre (m3), which is a derived unit. A "litre" (L) is the name given to the cubic decimeter (dm3).

Here,

The volume of cylinder = πr²h

Given : Diameter = 12 inches

radius = 12/2 = 6 inches

Height = 8 inches

Thus ,

To find the volume  we put the all the above values in the formula:

=> V = πr²h

=> V = 22/7 * 6² * 8

=> V =355/113 * (6)² * 8

Therefore , the solution of the given problem of volume comes out to be

V =355/113 * (5)² * 7  thus correct option is V equals 355 over 113 times 6 squared times 8.

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Answer:

V equals 355 over 113 times 6 squared times 8.

Step-by-step explanation:

The Students' Union needs to order some pens and notebooks. How much does it cost to order 1000 pens and 2000 notebooks?

$

Pen
Quantity 100 250 500 1000 2500 5000
Price per pen (cents) 80c 72c 66c 60c 52c 45c

Notebook
Quantity 100 250 500 1000 2500 5000
Price per notebook (cents) 99c 86c 80c 76c 72c 70c

Answers

The cost to order 1, 000 pens and 2, 000 notebooks, by the Student Union, can  be found to be

How to find the cost of ordering the pens and notebooks ?

The cost of ordering 1, 000 pens is shown to be 60 cents per pen so the total cost would be :

= Number of pens x Cost per pen

= 1, 000 x 60 cents

= $ 600

The cost of ordering 2, 000 notebooks is 76 cents per notebook which comes to a total of :

= 2, 000 x 76 cents

= $ 1, 520

The total cost of ordering the pens and notebooks is:
= 600 + 1, 520

= $ 2, 120

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The daily recommended allowance of calcium for a sixth grader is 1,200 mg. One cup of
milk has 25% of the recommended daily allowance of calcium. How many milligrams of
calcium are in a cup of milk? If you get stuck, consider using the double number line.



what's the answer pls tell me

Answers

Answer:

300 milligrams are in aa cup of milk.

Step-by-step explanation:

.25 x 1200 = 300

What is the image of the point (0,4) after a rotation of 180 degrees counterclockwise about the origin?

Answers

The image point of (0, 4) is (0, -4).

What is Cartesian plane?

The intersection of the x- and y-axes creates the two-dimensional coordinate plane known as the cartesian plane. The origin is the point at where the x- and y-axes cross perpendicularly.

The Cartesian coordinate point (x, y) indicates that the distance from the origin is x in the horizontal direction and y in the vertical direction. The point is to the right of the origin if the sign of x is positive; otherwise, it is to the left.

Given points (0, 4)

to find image of the point (0,4) after a rotation of 180 degrees,

The initial coordinates (x, y) of a point become when we rotate it by 180 degrees around the origin (-x, -y).

So,

-0 is just 0 (since 0 is both negative and positive)

-(4) is -4

This makes our new point (0, -5).

Hence the image of point is (0, -4).

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9789 dived by 11 that’s it

Answers

Answer: 889.909090909

Step-by-step explanation:

divide

Identify the domain and range of the following relation.

x y
-2 -4
1 3
0 0
1 4
4 6
-1 -2

Answers

Answer:

domain = - 2, 1, 0, 1, 4, - 1

range = - 4, 3, 0, 4, 6, - 2

Step-by-step explanation:

x is domain

y is range

Lana wants to enclose a garden plot each side of the garden will be 9 feet what is the area of the garden

Answers

The area of garden will be 81 feet².

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Each side of the garden = 9 feet

We know that;

⇒ Area of square = Side²

Here, Each side of the garden = 9 feet

Hence, The area of garden = 9²

                                           = 81 feet²

Thus, The area of garden = 81 feet²

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The sum of two angles is 85, one angle is five more than the measure of the other angle. Write the equation that represents this scenario and find the measure of each angle. Be sure to show your
work.

Answers

Therefore , the solution of the given problem of angles comes out to be equation :  x+ y =85°.

'

An angle is what?

In Euclidean geometry, an angle is a shape that is made up of two rays, known as the tone's flanks, that meet at a midpoint known as such angle's vertex. Two rays may combine to form an angle there in plane where they are positioned. When two planes collide, an angular is also generated. They are referred to as dihedral angles. An angle in plane geometry is the possible configuration of two rays of lines that share a termination. The origin of the English term "angle" is the Latin phrase "angulus," which meaning "horn." The vertex is the point in which the two vectors, also known as that of the faces of the angle, converge.

Here,

Given :

Let two angles be x and y  is

=> x+ y =85°

So, the equation is represented as  x+ y =85°.

Therefore , the solution of the given problem of angle comes out to be equation :  x+ y =85°.

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XYZ Company
Balance Sheet
Assets
Cash
$45,000
Inventory $41,000
Property $134,000
Total Assets:
Liabilities
Notes
Wages
Equity
Stock
$55,000
$56,000
$50,000
Investment $59,000
Total Liabilities + Equity:
Using the balance
sheet, calculate XYZ
Company's total
assets - liabilities.
Total Assets - Liabilities = $ [?]
Enter
PH
Skip

Answers

On solving the provided question, we can say that - by formula of simple interest we have SI = [tex]2200 X 2 X 4/100 = > 17600/100 = > 176[/tex]

what is interest ?

Multiplying the principal by the interest rate, time, and other factors yields simple interest. Simple return equals principle times interest times hours is the marketed formula. It is easiest to compute interest using this formula. A percentage of the principle balance is how interest is most commonly computed. For instance, he will only pay his portion of the 100% interest if he borrows $100 from a buddy and promises to pay it back with 5% interest. $100 (0.05) = $5. When you borrow money, you must pay interest, and when you lend money, you must charge interest. Most of the time, interest is expressed as a yearly percentage of the loan amount. The interest rate on the loan is known as this percentage.

here

principal, p = 2200

rate, r = 2%

time, t = 4 rs,

so SI = P X R X T/100

SI -

[tex]2200 X 2 X 4/100\\17600/100\\176[/tex]

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Jayda has a vegetable garden. 2/3 of the garden is made up of tomato plants. 4/5 of the tomato plants are beefsteak tomatoes. What portion of the garden is made up of beef steak tomatoes?​

Answers

a) The portion of the garden is made up of beef steak tomatoes is 8.

b) he Equation for beef steak tomatoes is 4/5 x (portion of tomatoes).

What is Fraction?

The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.

The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are displayed or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.

Given:

Portion of Garden have Tomatoes = 2/3

and, 4/5 of the tomato plants are beefsteak tomatoes.

a) The total section in model is 15.

so, Tomatoes in the garden = 2/3 x 15

                                               = 10

and, the portion of the garden is made up of beef steak tomatoes

= 10 x 4/5

= 8 portion.

b) The Equation for beef steak tomatoes

= 4/5 x (portion of tomatoes)

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the image point using the translation (x,y) (x + 4, y -1) for the point (3,3) is?

Answers

The image of the point (3, 3) after a translation 4 units right and one unit down is (7, 2)

What is transformation?

Transformation involves moving an object from its original position to a new position on the coordinate plane. This can be a translation, dilation.

Translation is the movement of a point either up, down, left or right in the coordinate plane. Translation is a rigid transformation that preserves the shape and size. Other types of rigid transformation are reflection, and rotation

The translation using the rule (x, y) ⇒ (x + 4, y -1) is a translation 4 units right and 1 unit down.

The image of the point (3, 3) using the rule (x, y) ⇒ (x + 4, y -1) is (7, 2)

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Here are two number machines that always give the same number for any input. Use the machines expressions to explain why both machines will produce the same outputs for any input.

Answers

P=4848399188848488282838577661554

Jesus wants to start saving for college. His parents started an account for him tht currently holds $325. Jesus adds $50 each week.

Answers

If Jesus adds $50 each week to the account that currently holds $325, then after 1 week the account will hold 325 + 50 = $375.

After 2 weeks, the account will hold 375 + 50 = $425.

After 3 weeks, the account will hold 425 + 50 = $475.

And so on.

In general, after n weeks, the account will hold 325 + 50n dollars

what is m=5 n=3 mn+9

Answers

Answer = 2

Since m = 5 and n = 3, mn means multiply the values together.
5(3) = 15

Now add 9
15 + 9 = 24

Answer: 24

Step-by-step explanation:

Given that m=5 and n=3, we can plug our values into the given expression to evaluate.

(5)(3)+9                  [multiply]

15+9                        [add]

24

The reason we multiplied before we added was due to the order of operations. Order of operations tells us to always multiply or divide first before we add or subtract. In this case, the multiplication happens to come first so we multiply, then add.

Jocelyn has a collection of 100 coins. How many coins represent 25% of her collection?

Answers

25 coins represent 25 percent of Jocelyn's collection.

What is the percentage?

A percentage is a quantity or ratio that, in mathematics, represents a portion of one hundred. A dimensionless relationship between two numbers can be represented in a variety of ways, such as through ratios, fractions, and decimals. The symbol "%" is frequently written after the number to indicate percentages.

given, Jocelyn has a collection of 100 coins.

100% of her collection represents = 100 coins

1 %  of her collection represents = 100/100 coins

1%  of her collection represents = 1 coin

thus,

25%  of her collection represents = 1*25 coins

25%  of her collection represents = 25 coins

therefore, 25 percent of the collection of Jocelyn represents 25 coins.

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You bought a new laptop and paid an initial payment of $150 you will make 12 payments of $69.50 how much would the computer cost if your state tried to 6% sales tax

Answers

The cost of the computer if the sales tax is 6% is  924.96 dollars.

How to find the cost of the computer after sales tax?

You bought a new laptop and paid an initial payment of $150. You will make 12 payments of $69.50.

The amount the computer cost if the your state charge 6% sales tax can be calculated as follows;

Install mental payment = 12 × 69.50

Install mental payment = 834 dollars

You already made payment of 150 dollars.

Therefore,

total payment including sale tax = 150 + 834

total payment including sale tax = 984 dollars

Sales tax = 6% of 984

Sales tax =  6 / 100 × 984

Sales tax = 5904 / 100

Sales tax = 59.04 dollars

Therefore,

cost of the computer = 984 - 59.04

cost of the computer = 924.96 dollars

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Please help will mark Brainly

Answers

Answer: A) solution is 1

Step-by-step explanation:

write the missing digits to make this addition correct

_2_+_2=200

Answers

Answer:

128 + 72 = 200

Step-by-step explanation:

Start from the ones. And go next to tens and last find the hundreds.

see image.

The legislature in a state has 50 seats. Apportion these seats to the five counties below using Lowndes' method.
County Population Seats Received
Adams 71,000
Grant 483,000
Colton 224,000
Davis 406,000
Hayes 444,000

Answers

Answer: hi

Step-by-step explanation:

To apportion the 50 seats using Lowndes' method, you will need to follow these steps:

   Calculate the apportionment ratio for each county by dividing the population of the county by the total population of the state.

   Multiply the apportionment ratio for each county by the number of seats to be apportioned. This will give you the initial allocation of seats for each county.

   Distribute the remaining seats (if any) to the counties with the largest remainders (the difference between the initial allocation of seats and the whole number of seats). If there are multiple counties with the largest remainders, distribute the seats among these counties based on their remainders.

Here is the apportionment for the five counties using these steps:

County Population Apportionment Ratio Initial Allocation Seats Received

Adams 71,000 0.088 4.4 4

Grant 483,000 0.591 28.9 29

Colton 224,000 0.274 13.7 14

Davis 406,000 0.500 25.0 25

Hayes 444,000 0.547 27.4 27

Total 1,928,000 50 50

So using Lowndes' method, Adams County would receive 4 seats, Grant County would receive 29 seats, Colton County would receive 14 seats, Davis County would receive 25 seats, and Hayes County would receive 27 seats.

a local zoo has 900 pounds of bamboo to feed the giant panda. Each day, the giant panda eats 30 pound of bamboo. An accident happens and 125 pounds of the bamboo cannot be fed to the giant panda Determine the range of the number of days the zoo has more than 500 pounds of bamboo left.

Answers

The range of days to have 500 pounds left is 30 - 17.5 days

What is range?

The range is the difference between the highest and lowest values in a set of numbers. To find it, subtract the lowest number in the distribution from the highest.

For example the range in the ages 10,15,11,12,18 of students in a class is 18-10 = 8

The maximum days to feed the giant panda if the giant panda feeds on 30pounds per day is 900/30 = 30days

but due to accident 125 pounds are not good

Therefore the new pound of bamboo = 900- 125 = 875 pounds

The range of pounds when the minimum pound is 500 = 875-500 = 375 pounds

therefore no of days on 375 pounds = 375/30 = 12.5

Therefore the range of days to have more thanq 500 pounds = 30-12.5 = 17.5 days

The range of days the zoo has more than 500 pounds of bamboo is 30 - 17.5days

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Should stockholder wealth maximization be thought of as a long-term or a short-term goal? For example, if one action increases a firm’s stock price from a current level of Rs. 1600 to Rs. 2000 in 6 months and then to Rs. 2400 in 5 years, but another action keeps the stock at Rs. 1600 for several years but then increases it to Rs. 3000 in 5 years, which action would be better? Think of some specific corporate actions that have these general tendencies

Answers

The action which would be better is the latter since it provides a higher average return in the span of 5 years.

What is Wealth maximization?

This is referred to as the concept of increasing a firm's worth to increase the value of stockholders' shares and it is usually considered a long-term goal.

In this scenario, the action which involves the stock price rising from Rs. 1600 to Rs. 3000 provides a higher average return in the span of 5 years which is a long-term goal since it is assumed that shareholders invest in a company to meet their long-term financial goal and the corporate actions which have these general tendencies is lending to people and organizations at a proposed interest rate.

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I need help because I don't understand and I need an explanation of how to do it, please.

Answers

Answer:

Step-by-step explanation:

a.we konw DC=2b and DO=OC, so the coordinate of D(-b, 0), C(b, 0)

b.we konw the height of rectangle is h, so the coordinate of A(-b, h), B(b, h).

Brielle entered a contest at work that awards prizes to individuals who walk 10,000 steps a day. On the first day of the contest, Brielle checks her Fitbit at 12:00 PM and sees that she has already completed of the goal. How many steps has Brielle already walked at 12:00 PM? 3/8

Answers

Answer:

3750

I wish you luck in your assignments.

3750 because 10000/8* 3 is 3750 steps by 12 pm

Please help will mark Brainly

Answers

Answer: y less than or equal to -2

Step-by-step explanation:
1. Simplify -6y >= 12 by dividing both sides by -6 to get y alone. This results in y<=-2, because when dividing an inequality by a negative number the sign gets switched.

2. Mark the point (0, -2) because there is no x-value. Shade everything lower and equal to -2 because y can be equal to -2 or less than it.



Answer:

Y less than

Step-by-step explanation:

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What does the following UML diagram entry mean? + setHeight(h : double) : void Select one: a. public void method with a parameter of data type double b. private method with no parameters that returns a double data type c. private field called setHeight that is a double data type d. Error - UML diagrams do not contain any symbols e. private data field called setHeight that is a double data type Solve for the missing side length in this triangle In the first months of the gold rush, most of the gold rushers used the hole-digging techniquedescribed by James Heron. The key was to dig in places where water had once flowed. In yourown words, how did prospectors like Heron find gold? 1. What mood is established in this opening scene? How does Shakespeare establish this mood?In hamlet act 1 sc 1 What is the rhythm of the poem Funeral Blues? Will Give Brainliest!!! 1. For the circle with equation , answer each question. (a) What are the coordinates of the center? (b) What is the radius of the circle? (c) What is the diameter of the circle? A= v-u/ t v = 37. 6 correct to 3 significant figures. u = 11. 3 correct to 3 significant figures. t = 8. 4 correct to 2 significant figures. Work out the upper bound for the value of a. Show your working clearly "A team of people are in charge of hiring at a large multinational company. They hold a meeting to discuss whether they want to hire Luis for a new position. He has a great deal of relevant work experience and would most likely be a good fit for the position. According to research on schemas, who is most likely to notice and bring up Luis' volunteer experience at the bottom of his resume Im doing homework and this may be easy for others but Im not that good at learning quickly. Take ur time its fine. Please help ABC is divided into three smaller triangles and one quadrilateral. Area of AFE is 4, Area of AFC is 9, area of DFC is 7. Find the area of quadrilateral BEFD. Of the types of lining and covering membranes, the only one that is drier than the others is (A) mucous. (B) cutaneous. (C) serous. (D) parietal. Joy is solving a quadratic equation of the form a2+bx+c=0 where band care integers.She correctly solves the equation to get a = 3 /13Work out the values of b and c.(3 marks)b== Two identical traveling waves, moving in the same direction, are out of phase by p/2 rad. What is the amplitude of the resultant wave in When a teenager shares he is uncomfortable joining a gym because people will watch him exercise and will laugh at his out of shape body, this is consistent with which of the following processes of change in the Transtheoretical Model? a. Counter-conditioning Ob. Dramatic relief c. Environmental Reevaluation d. Social liberation The price elasticity of demand for a particular commodity depends upon all of the following except O A. the percentage of a consumer's total budget devoted to purchasing that commodity OB. the number of close substitutes for that commodity OC. the length of time allowed for price changes of that commodity OD. availability of complementary goods You are providing care to a patron who started choking on some food. The victim becomes unresponsive. Which of the following should you do first 45. Recommended scrub methods are: a. The counted stroke scrub b. The anatomic timed scrub c. The surgical hand rub d. All of the above How many years did theHomestead Act requiresettlers to stay before theland officially belonged tothem?A. 1 YearB. 10 YearsC. 5 yearsD. 7 Years Attracting outside investment is easier for corporations than for sole proprietorships and partnerships because: Explain how the Quotient of Powers property was used to simplify this expression. 2 to the fifth power, over 8 = 22