Solve it but using the SQUARE ROOT PROPERTY


please help need ASAP!

Solve It But Using The SQUARE ROOT PROPERTYplease Help Need ASAP!

Answers

Answer 1

The solutions to the quadratic equation 25 = (x + 9)² are x = -4 and x = -14.

What is quadratic equation?

A quadratic equation is a polynomial equation of degree 2, which means that the highest power of the variable in the equation is 2. The general form of a quadratic equation is:

ax^2 + bx + c = 0

where x is the variable, and a, b, and c are constants, with a not equal to 0. The quadratic equation can have two solutions, one solution, or no real solutions, depending on the values of a, b, and c.

Starting with the given equation:

25 = (x + 9)²

We can start by taking the square root of both sides of the equation, which gives us:

±5 = x + 9

Next, we can isolate x by subtracting 9 from both sides of the equation:

x = -9 ± 5

This gives us two solutions:

x = -9 + 5 = -4

or

x = -9 - 5 = -14

Therefore, the solutions to the quadratic equation 25 = (x + 9)² are x = -4 and x = -14.

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Related Questions

Need help solving three questions on algebra homework

Answers

The values of the composite functions are (f + h)(5) = 7, (h - f)(2) = 0, (fh)(3) = 0 and (h/f)(0) = 3/5

How to evaluate the composite functions

From the question, we have the following parameters that can be used in our computation:

The graphs

Using the graphs as a guide, we have the following:

(f + h)(5) = f(5) + h(5)

(f + h)(5) = 3 + 4

(f + h)(5) = 7

(h - f)(2) = h(2) - f(2)

(h - f)(2) = 1 - 1

(h - f)(2) = 0

(fh)(3) = f(3) * h(3)

(fh)(3) = 4 * 0

(fh)(3) = 0

(h/f)(0) = h(0)/f(0)

(h/f)(0) = 3/5

Hence, the value of the function (h/f)(0) is 3/5

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Martin gives 40% of £75 to his sister. How much money does Martin give to his sister?

Answers

Answer:

Step-by-step explanation:

75 x 0.40= £30

That standard deviation of the ages of class members is 14.8. Find the range of ages that are within one standard deviation of the mean age.

I am so confused… brainlest if you answer quick and correct.. Ty.

Answers

The range of ages that are within one standard deviation of the mean age are given as follows:

M - 14.8 ≤ M ≤ M + 14.8.

In which M is the mean age.

How to obtain the range?

The standard deviation of a data-set is given by the square root of the sum of the difference squared between each observation and the mean, divided by the number of observations.

The values that are within one standard deviation of the mean M have the bounds given as follows:

Lower bound: M - 14.8 -> one standard deviation below the mean.Upper bound: M - 14.8 -> one standard deviation above the mean.

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In which quadrant does the point (-21 , 13) lie?

Answers

The fourth quadrant

4. 1




3. 2
Answer is quadrant II

explanation

Quadrants start at the upper right and go counterclockwise as shown on the attachment.

The -21 x is a negative so it goes left from zero (0,0) and positive 13 y value goes up.

(SAT Prep) Find the value of x.

Answers

Answer: 36˚

Step-by-step explanation:

180 - 3x = 2x

180 = 5x

.: x = 36˚

10x³•2 √5x4 I need help

Answers

Answer:

20√5x7

Step-by-step explanation:

6) The sides of a triangle are 3x, 2 and 9. If you know that all the sides are whole numbers,
determine the value of x and the third side of the triangle. Is the triangle acute, obtuse, or
right?

Answers

The requried two sides are equal, this triangle is an isosceles triangle, which means that two of the angles are equal to 45 degrees or less, and the triangle is acute.

What is the isosceles triangle?

A triangle with two sides and two congruent angles is called an isosceles triangle.

To determine the value of x and the third side of the triangle, we need to first ensure that the triangle is a valid triangle, meaning that the sum of the lengths of the two shorter sides must be greater than the length of the longest side.

In this case, the two shorter sides are 2 and 3x, and the longest side is 9. We have,

2 + 3x > 9

Solving for x, we get:

3x > 7

x > 7/3

Since x must be a whole number, the smallest possible value for x that would make the triangle valid is 3. With x = 3, the third side of the triangle would be 3 × 3 = 9, which is equal to the longest side.

Therefore, the triangle has sides 2, 9, and 9.

Since two sides are equal, this triangle is an isosceles triangle, which means that two of the angles are equal to 45 degrees or less, and the triangle is acute.

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How do you solve the problem: 5/8 * a/b = - 1/4?

Answers

Answer:a=-2

b=5

Step-by-step explanation:

[tex]\frac{a}{b} =\frac{\frac{-1}{4} }{\frac{5}{8} } \\\frac{a}{b} =\frac{-1}{4}*\frac{8}{5}\\\frac{a}{b}=-2/5[/tex]

The perimeter is 30cm.
Work out the lengths of all the sides.
3x + 2
X
4x - 6

Answers

Answer: To solve for the length of all sides, we need to set the perimeter equal to the sum of the lengths of the three sides:

30 cm = 3x + 2 + x + 4x - 6

30 cm = 8x + 2

Now we can solve for x:

30 cm = 8x + 2

28 cm = 8x

x = 28/8

x = 3.5

So each of the sides is 3.5 cm long, and the lengths of the three sides are:

3x + 2 = 3 * 3.5 + 2 = 11.5 cm

x = 3.5 cm

4x - 6 = 4 * 3.5 - 6 = 11.5 cm

Therefore, the lengths of the sides are 11.5 cm, 3.5 cm, and 11.5 cm.

Step-by-step explanation:

Answer:

(3x+2+4x-6)2=30

7x-4=30

7x=34

x=34/7

To find the side lengths of the rectangle;

3x+2=116/7. and. 4x-6=94/7

Refrigerator a uses 500 watts per hour when the motor is operating. The motor needs to run an average of 12 hours per day, every day, to stay at a constant, cold temperature. This model of refrigerator lasts an average of 20 years before it needs to be replaced and costs $1,000. Each kwh of electricity costs $0. 12.

Answers

To determine the total energy consumption of refrigerator A in a day, we need to first convert the power usage from watts to kilowatts.

500 watts/hour * 1 kilowatt/1000 watts = 0.5 kilowatts/hour

Next, we can calculate the energy consumption in kilowatt-hours (kWh) per day:

0.5 kilowatts/hour * 12 hours/day = 6 kilowatt-hours/day

To find the daily cost of running the refrigerator, we can multiply the energy consumption by the cost per kWh:

6 kWh/day * $0.12/kWh = $0.72/day

To calculate the yearly cost of running the refrigerator, we can multiply the daily cost by 365 days:

$0.72/day * 365 days = $262.80/year

To calculate the total cost of running the refrigerator for 20 years, we can multiply the yearly cost by 20:

$262.80/year * 20 years = $5,256.00

In addition to the cost of running the refrigerator, there is also the cost of purchasing the unit itself. In this case, the cost is $1,000.

Therefore, the total cost of owning and operating Refrigerator A for 20 years is:

$5,256.00 (operating cost) + $1,000.00 (purchase cost) = $6,256.00

It's worth noting that this calculation assumes that the cost of electricity remains constant over the 20-year lifespan of the refrigerator. In reality, the cost of electricity may increase over time, which would increase the overall cost of running the refrigerator.

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A magician has a magic trick that uses an 18" length of string that is cut into two pieces. One piece is two inches longer that the other. Find the length of each piece. Use algebraic equations.

Answers

The length of each piece is 10 in and 8 in.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

The total length of the string = 18 in

One piece = x + 2

Another piece = x

Now,

Solve for x.

x + 2 + x = 18

2x + 2 = 18

2x = 18 - 2

2x = 16

x = 8

Now,

One piece = 8 + 2 = 10 in

Another piece = 8 in

Thus,

The length of each piece is 10 in and 8 in.

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Solve for x and simplify answer
4
\x=-18
3

Answers

The value of the variable is x = -6/9

What is a fraction?

A fraction is defined as the part of a whole number.

The different types of fractions are;

Mixed fractionsSimple fractionsComplex fractionsImproper fractionsProper fractions

We are given the equation:

4/x = -18/3

To make 'x' the subject, cross multiply

-18x = 12

Now, divide both sides by the coefficient of x, we get;

x = 12/-18

x = -6/9

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1. Find the semester GPA for the following. Show or explain your work.
Class Credit Hours Grade
MAT 171 4 C
HEA 112 2 A
ENG 111 3 B
ACA 111 1 D
BIO 112 4 A



2. Annie is a junior at a local university. She has 80 credit hours and a GPA of 2.1.
She wants to raise her GPA for a scholarship this semester.
She takes 16 credit hours and makes all A's, earning a 4.0 for this semester.

Annie averages the previous GPA of 2.1 and the current semester GPA of 4.0. She adds 2.1 + 4.0, then divides by 2, obtaining 3.05.
She believes she should now have a GPA of 3.05.
Is her reasoning correct? Justify your answer with 2 - 3 sentences.

Answers

Answer:

aiaiiwakkaoajdjsjzjhsjaj

1: Amelia is organising a game for a charity fête.
She has put 1 orange, 1 pink, 1 green and 2 yellow counters into a bag.
To play, each person will pay £1 and take out a counter at random.
They will then replace the counter and then take a second counter at random.
The person will win £2.50 if both counters are the same colour.
autet
Amelia expects 200 people to play the game.
How much money would Amelia expect to raise for charity?

Answers

The amount of money that Amelia is expected to raise is given as follows:

£78.13.

How to obtain the expected amount?

The outcomes of a person winning, and their probabilities, as given as follows:

Two orange: 1/4 x 1/4 = 1/16.Two pink: 1/4 x 1/4 = 1/16.Two yellow: 2/4 x 2/4 = 4/16.

Hence the probabilities of winning and losing are given as follows:

Winning: 6/16.Losing: 10/16.

Then the distribution of earnings for each person is given as follows:

P(X = -1) = 10/16. -> Lose.P(X = 2.5) = 6/16 -> wins.

Hence, considering 250 people, the expected amount raised is given as follows:

E(X) = 250/16 x (2.5 x 6 - 1 x 10)

E(X) = £78.13.

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how many groups of 1/2 in a 8

Answers

Answer:

Step-by-step explanation:

y=16. There are sixteen 1/2 in 8

PREMISES

y=8/.5

CALCULATIONS

y=8/.5

y=8(2)

y=

16

PROOF

If y=16, then the dependent value D(y) 8/.5 returns

y(.5)=8

A bag contains 2 gold marbles, 7 silver marbles, and 29 black marbles. The rules of the game are as follows: you randomly select one marble from the bag. If it is gold, you win $4, if it is silver, you win $2. If it costs $1 to play, what is your expected profit or loss of you play this game?

Answers

Total number of marbles is 5 + 7 + 29 = 41.

Your expected profit or loss of you play this game $0.17 loss?

The given parameters are

2 gold marbles,

7 silver marbles,

and 29 black marbles

Also you win $4, if it is silver, you win $2. If it costs $1 to play

Event   P(Event)  Net Winnings   P(Event) * Net Winnings

Gold     5/41          4 - 1 = 3          15/41

Silver    7/41         2 - 1 = 1           7/41

Black    29/41        -1                   -29/41

sum     -7/41 = $0.17 loss

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Solve for x

2,4, and 6 i need help with

Answers

Answer:

2. 56°

4. 56°

For number 6, it is not shown on the photo, sorry!

Step-by-step explanation:

2. The square at the corner means that it is 90°, so 90 - 34 = 56

4. The line is straight, so it means that it is 180°, so 180 - 124 = 56

You paid $29.75 in tax when you bought a $350 bike. What is the percent tax?

Answers

The percent tax you paid when you bought the bike is approximately 8.493%.

What is percentage ?

Percentage can be defined as the product of ratio of given value, total value and hundred.

given ,

You paid $29.75 in tax when you bought a $350 bike

To find the percent tax, we can divide the amount of tax by the total cost (including tax) and multiply by 100 to express the result as a percentage.

tax = 29.75

total = 350

percent tax = (tax / total) * 100

So the percent tax would be

percent tax = (29.75 / 350) * 100

= 8.493%

Therefore, The percent tax you paid when you bought the bike is approximately 8.493%.

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A fruit juice recipe calls for 5 parts orange juice and 6 parts pineapple juice. Which proportion can be used to find the amount of orange juice, j, that is needed to add to 21 L of pineapple juice?

30 over 21 equals j over 100
6 over 5 equals j over 21
6 over j equals 5 over 21
5 over 6 equals j over 21

Answers

For given ratio of orange juice and pineapple juice i.e. 5/6, proportion used to find the amount of orange juice, j, that is needed to add to 21 L of pineapple juice will be 5 over 6 equals j over 21 i.e. 5/6=j/21.

What exactly is a ratio?

Fractions are commonly used to describe ratios and proportions. A ratio is demonstrated when a fraction is expressed as a:b, whereas a percentage indicates that two ratios are equal. a and b can be any two numbers in this situation. The ratio and proportion are two fundamental ideas that lay the groundwork for comprehending other concepts in mathematics and science.

We use the concept of ratio and proportion in our daily lives, such as in business when dealing with money or in cooking.

As a result, when b is larger than zero, the ratio, such as a:b, defines the relationship between two variables. For example, the 2:4 ratio is expressed as 2:4 = 1:2.

Now,

Given that In recipe ratio of  orange juice / pineapple juice =5/6

then to make a recipe with 21 L of pineapple juice, the orange juice (j)

needed will be

5/6=j/21

j=17.5 L

hence,

           proportion used to find the amount of orange juice, j will be 5 over 6 equals j over 21 i.e. 5/6=j/21.

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Answer: its D

Step-by-step explanation:

pls i belieive most of yall are npcs

The tool crib is 144 inches. How many 12 inches pieces can you cut from it

Answers

Answer:

Step-by-step explanation:

12

144 divided by 12 is 12

Write a recursive formula for an, the nth term of the sequence 50, -10, 2, ....
a1
an
11

Answers

Answer:do homework

Step-by-step explanation:

ax+bx=c make x subject​

Answers

Answer:

x=c/(a+b)

Step-by-step explanation:

ax+bx=c

x(a+b)=c

x(a+b)/(a+b)=c/(a+b)

x=c/(a+b)

Answer:

[tex]x=\dfrac{c}{a+b}[/tex]

Step-by-step explanation:

To make x the subject of the equation ax + bx = c, rearrange the equation using algebraic operations to isolate a single x-variable.

Given equation:

[tex]ax + bx = c[/tex]

Factor out x from the left side of the equation:

[tex]x(a+b)=c[/tex]

Divide both sides of the equation by (a + b):

[tex]\dfrac{x(a+b)}{(a+b)}=\dfrac{c}{(a+b)}[/tex]

Simplify:

[tex]x=\dfrac{c}{a+b}[/tex]

Please help me I need help with algebra 2

Answers

Answer:If (x + 1) is a factor of the polynomial p(x), then p(x) can be written as:

p(x) = (x + 1) q(x)

for some polynomial q(x). By substituting x = -1 into this expression, we can find the value of c:

p(-1) = (-1 + 1) q(-1) = 0 q(-1) = 0

So,

0 = 5(-1)^4 + 7(-1)^3 - 2(-1)^2 - 3(-1) + c

= -5 + 7 - 2 + 3 + c

= c = 3

So, the value of c that makes (x + 1) a factor of the polynomial p(x) = 5x^4 + 7x^3 - 2x^2 - 3x + c is c = 3.

Solve -27 19 - 2x.
Enter your responses in the boxes.
-27 19 - 2x
H
-27-
23
-
-www
= -2x
1 = x
19-
-2x

Answers

Answer:

Simplifying

-27 = 19 + -2x

Solving

-27 = 19 + -2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '2x' to each side of the equation.

-27 + 2x = 19 + -2x + 2x

Combine like terms: -2x + 2x = 0

-27 + 2x = 19 + 0

-27 + 2x = 19

Add '27' to each side of the equation.

-27 + 27 + 2x = 19 + 27

Combine like terms: -27 + 27 = 0

0 + 2x = 19 + 27

2x = 19 + 27

Combine like terms: 19 + 27 = 46

2x = 46

Divide each side by '2'.

x = 23

Simplifying

x = 23

What are the answers to these?

Answers

The values of the vacant spaces are $3.75, 4 oranges, 10 oranges, $15 and 20 percent of 160 is 32

What are the values?

The table can be completed using the following values

If 8 oranges cost $10,

Then 1 orange will cost 10/8 = $1.25

This means that  3 oranges will cost 1.25*3 = $3.75

$5 can buy 8/10*5 = 40/10 = 4 oranges

In the same way, $12.50 will buy 8/10 * 12.50 = 10 Oranges

In the same manner, 12 oranges will cost 1.25*12 = $15

20% of 160 can be calculated as follows

Recall that percentage is a proportion of 100

This implies that 20/100 * 160 = 3200/100 = 32

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If your car gets 33 miles per​ gallon, how much does it cost to drive 350 miles when gasoline costs ​$2.80 per​ gallon?

Answers

Answer:

$29.68 to drive 350 miles

Step-by-step explanation:

To find the cost of driving 350 miles, we first need to calculate the amount of gasoline required for driving 350 miles. We can use the formula:

gasoline = distance ÷ miles per gallon

Plugging in the given values:

gasoline = 350 ÷ 33

gasoline = 10.606060606060606

So, we need 10.61 gallons of gasoline to drive 350 miles.

Next, we multiply the amount of gasoline needed by the cost per gallon to find the total cost:

total cost = gasoline × cost per gallon

total cost = 10.61 × 2.80

total cost = 29.6780

Therefore, it would cost approximately $29.68 to drive 350 miles when gasoline costs $2.80 per gallon and your car gets 33 miles per gallon.

Answer: 350 mi * 1 gal / 33 miles * $2.80 / 1 gal  = 29.69$

which means the cost is 2.8*(350/33)=29.69$

Step-by-step explanation:

Here, 2.80$/1 Gal.

Now we need to cancel out gallons, so we add a ratio with gallons.

2.80$/1 Gal. x 1 Gal/33 mi.

Now add the last data element to cancel out miles.

2.80$/1 Gal. x 1 Gal/33 mi. x 350 mi.

Cancelling out units and numbers gives,

(2.80$ x 350)/33. Continue reducing to an answer:

980$/33 = 29.69$

if (x) - **4, g(x) = x= 2, and h(x) = 4x+1, what is (f• Hºg)(x)?

2x+16

o (fe hºg)(x) =

2x+4

o (fonog)(x)=

4x-3

o (f• hºg)(x)- Ax=1

4x-5

o (f• nºg)(x) = AX-

Answers

The solution is, the value of  (f• Hºg)(x) = 4x+2.

What is function?

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

here, we have,

given that,

f(x) = x-4

g(x) = x+ 2,

and h(x) = 4x+1

now, (f• Hºg)(x)

= (f•(4(x+2)+1)(x)

=((4x+6)-4)

=4x+2

Hence, The solution is, the value of  (f• Hºg)(x) = 4x+2.

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what is the length of (3,5),(7,3)

Answers

Answer:

Step-by-step explanation:

The length of the line segment between two points in a plane can be calculated using the distance formula. Given two points (x1, y1) and (x2, y2), the distance between them is given by the following formula:

d = √((x2 - x1)^2 + (y2 - y1)^2)

In this case, the two points are (3, 5) and (7, 3). Plugging these values into the formula, we get:

d = √((7 - 3)^2 + (3 - 5)^2)

d = √((4^2) + (2^2))

d = √(16 + 4)

d = √20

So, the length of the line segment between the two points (3, 5) and (7, 3) is √20.

Use this table to answer the question. Round to the nearest percent.

Car Plane Train Total
Green 120 250 500 870
Blue 150 350 750 1250
Yellow 170 200 450 820
Red 200 300 300 800
Brown 220 450 320 990
Total 860 1550 2320 4730

What percent of Planes are Green?

Answers

There are 29% of the Planes are Green.

What is the percentage?

The percentage is defined as a ratio expressed as a fraction of 100.

Total number of green planes = 250

The total number of green vehicles = 870

The percent of green planes = (number of green planes/number of total green vehicles) x 100

The percent of green planes = (250/870) x 100

The percent of green planes = 0.2873 x 100

The percent of green planes = 28.73

Round to the nearest percent, and we get

The percent of green planes = 29%

Thus, 29% of Planes are Green.

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< Question 4, 1.2.23 >
points
O Points: 0 of 1
Use the method of successive differences to determine the next number in the given sequence.
7; 35; 173; 771; 2529; 6667; 15,095
Assuming that the pattern continues, the eighth term would be

Answers

The pattern does not have a consistency to get the differences

How to find the pattern

The method of successive differences involves finding the difference between each consecutive term in a sequence, and then using those differences to find the next term.

Here's how the method would work for the sequence given:

7; 35; 173; 771; 2529; 6667; 15,095

Difference between terms:

28; 138; 598; 1758; 4138; 8428

Second difference between terms:

110; 460; 1160; 2380; 4290

Third difference between terms:

350; 700; 1220; 1910

Fourth difference between terms:

350; 520; 690

There is no consistency between the patterns.

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You do not dissect the results of the ratio analysis and categorize report this firm as an under-performing company Which of the following statements about your analysis report is true? The ratio provide an accurate and through representation of the Chinese company's performance the analysis likely includes incorrect and misleading conclusions Most decision makers and analysts use five groups of ratios to examine the different aspects of a company's performance. Indicate whether each of the following statements regarding financial ratios are true or false? A company exhibiting a high liquidity ratio means it is likely to have enough resource to pay off its short-term obligation Asset management or activity ratios provide insights into management's efficiency in using a firm's working capital and long-term assets Debt or financial leverage ratio help analysts determine whether a company has sufficient cash to repay its short-term debt obligation One possible explanation for an increase in a firm's profitability ratios over a certain time span is that the company's income has increased Market-value or market-based ratios help analysts figure out what investors and the markets think about the firm's growth prospects or current and future operational performance which of the following statement represent a weakness or limitation of ratio analysis? Check all that apply Seasonal factors can distort data window dressing might be in effect Market data is not Please read this case and answer the questions attached. the wetness of your earwax is a gene/trait controlled by which chromosome? Sara can read 19 pages an hour. How many pages can Sara read in 95 min? Round to the nearest whole number. The price of a Loungy Chair was $400. The price of this chair has just gone up by 20%. Make a percent table to find the new price of the Loungy Chair La fbrica tiene 300 obreros de los cuales 2/3 son hombres. 3/3 trabajadores por la maana, 1/2 son sindicalizado y 1/6 son personal de confiancia. Cuntos hombres trabajan en la fbrica?_________ Y cuntas mujeres?_______ Cuntos hobreros trabajan por la maana?__________ Cuntos son sindicalizados?______________ Cuntos son de confianza? AYUDA ES PARA MAANA SINO MIS PADRES ME MATAS AYUDA what term describes an organization's use of an outside company for a broad set of services? multiple choice question. recruiting downsizing outsourcing offshoring under ifrs, if the revaluation option is chosen, the excess of the fair value of property, plant and equipment over its book value is reported as a community festival organizes a fundraiser for their local park. they sold 25,000 tickets at $20 each. the grand prize is $5,000. there are two prizes valued at $2,000, three prizes valued at $1,000, five prizes of $500, and ten prizes of $100. what is the expected value of this raffle? round to the nearest cent. do not round until the final calculation. the theoretical model of the intertemporal budget constraint for the u.s. economy as a whole suggests that the most common pattern seems to be that: Select the correct answer from each drop-down menu. Len has written an essay about the colors that Abbey uses in King Lear: Cordelias Farewell. He has made a claim about why Abbey chose certain colors for the characters, but he has not connected his ideas well. Which connecting words or phrases should he add to these sentences to show a logical connection between ideas?Abbey clothes the older sisters in blood-red and black fabrics to suggest their untrustworthy motivations; , he clothes Cordelia in pale colors and white to suggest her innocence. The old king is also dressed in pale colors; , in his case the colors suggest his age and frailty, unlike the rich reds and grays worn by the young, powerful King of France Explain why phosphorus is a non-conductor of electricity.