What number should be added to both sides of the equation to complete the square?
x2 + 3x = 6
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Answer:

8.43 years

Step-by-step explanation:

Given data

Cost price P= $4995

Rate r= 10%

FInal amount A= $2150

The expression for the time/duration is given as

t= ln(A/p)/r

t= ln(2150/4995)/0.1

t= ln(0.430)/0.1

t= 0.843/0.1

t= 8.43

Hence the time it will take is 8.43 years

To find the expected value of the sum of the numbers on the two selected pieces of paper, we need to calculate the probability of each possible outcome and then multiply that probability by the value of the outcome. The expected  value of the sum of the numbers on the two selected pieces of paper is 6.1625.

Therefore the answer is 6.1625.

The possible outcomes for the first bag are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, each with a probability of 1/10.

The possible outcomes for the second bag are 20, 21, 22, 23, 24, 25, 26, 27, each with a probability of 1/8.

The possible outcomes for the sum of the numbers on the two selected pieces of paper are:

(1,20) ,(1,21) ,(1,22) ,(1,23) ,(1,24) ,(1,25) ,(1,26) ,(1,27)

(2,20) ,(2,21) ,(2,22) ,(2,23) ,(2,24) ,(2,25) ,(2,26) ,(2,27)

(3,20) ,(3,21) ,(3,22) ,(3,23) ,(3,24) ,(3,25) ,(3,26) ,(3,27)

...

(10,20) ,(10,21) ,(10,22) ,(10,23) ,(10,24) ,(10,25) ,(10,26) ,(10,27)

The expected value of the sum of the numbers on the two selected pieces of paper is the sum of the products of each possible outcome and its corresponding probability.

The probability of each outcome is (1/10) * (1/8) = 1/80

So the expected value of the sum of the numbers on the two selected pieces of paper is

(1 + 21)×(1/80) + (1 + 22)×(1/80) + (1 + 23)×(1/80) + (1 + 24)×(1/80) + .... + (10 + 27)×(1/80) = (21 + 22 + 23 + 24 + ... + 37)/80

= (20×17 + 1 + 2 + ... + 17)/80

= (340 + 17×(17 + 1)/ 2)/ 80

= (340 + 17×9)/ 80

= 6.1625

So the expected value of the sum of the numbers on the two selected pieces of paper is 6.1625

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Answer:

2.27

Step-by-step explanation:

Answer:

1020

Step-by-step explanation:

angle ADC equals 74 degrees

Answer:

15

Step-by-step explanation:

the nickels ratio is 4. I then divided 60 : 4 = 15. I then timesed 15 with 3 and then came out 45. I then subtracted 60 with 45 which gave me the answer of 15.

Answer:

Step-by-step explanation:

Im going to need all the dat of all 50 states but heres how you do it.

List those numbers from smallest to largest.

The cancel them out meanign cancel out the first and the last, second and the second last, and keep on going untill you reach one number. If the case is that you dont reach one number then you'll have to work out the average meaning your gonna have to add those two numbers up and then divide by 2

Answer:

C

Step-by-step explanation:

2.88*2.2=6.336, which is approximately 6.34.

Answer:

<1 and  <2  are Complementary Angles

m<1  + <2  = 90 degrees

Step-by-step explanation:

<1 and  <2  are Complementary Angles

m<1  + <2  = 90 degrees

Have a great day!

Since, angle 1 and 2 sums up to make 90 degrees, hence Angle 1 and 2 are complementary angles.

Complementary angles are those whose combined angle is exactly 90 degrees. 30 degrees and 60 degrees, for instance, are complementary angles.

Angles that add up to 180 degrees are referred to as supplementary angles. For instance, angle 130° and angle 50° are complementary angles since the sum of these two angles is 180°. In the same way, complementary angles sum to 90 degrees.

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The value of the polynomial "5x - 4x^2 + 3" at x =- 1 is -6.

The polynomial is 5x - 4x^2 + 3, and it is required to find its value at x = -1,

Now solve the polynomial by putting the value of x equal to -1:

5(-1) - 4(-1)^2 + 3        ,  x =  - 1

-5 - 4 ( 1 ) + 3             , squaring -1 gives + 1

minus 5 minus 4 plus 3

( - 9 + 3)

( - 6 )

Hence, is shown that the value - 6 is obtained when the given polynomial "5x - 4x^2 + 3" is solved for x = -1.

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In class 7, adjacent angles are defined as two angles that share a common vertex and a common side but do not have any common interior points. They are angles that are next to each other.

Adjacent angles are often used in geometry to describe the angles formed by intersecting lines or figures. The adjacent angles can be classified into two types, namely:

Interior adjacent angles: They are formed by two lines that intersect inside a closed figure, such as in a parallelogram.

Exterior adjacent angles: They are formed by two lines that intersect outside a closed figure, such as in a straight line.

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Answer:

0.75

Step-by-step explanation:

Answer: 0.75

Step-by-step explanation:

Its correct on AP3X! :)

Answer:

17,388³

Step-by-step explanation:

To find volume you need bh the formula, which is base x height. We have to find the base first, so you multiply 27 * 23

27 * 23 = 621

Now you multiply 621 by 28 because 18 is the height.

621 * 28 = 17,388

Therefore, the volume of the figure is 17,388³ (I think, I'm not 100% sure if this is correct)

Hope this helps !!

-Ketifa

There are  17/36 pounds of trail mix in each bag.

you need to first add the weight of the peanuts and M&M's together.

1[tex]\frac{17}{18}[/tex] + 1 [tex]\frac{5}{6}[/tex] =([tex]\frac{35}{18}[/tex]) +([tex]\frac{11}{6}[/tex]) =  [tex]\frac{35+33}{18}[/tex]    =[tex]\frac{68}{18}[/tex]

which can be simplified to 3 [tex]\frac{14}{18}[/tex]

So there are 3 [tex]\frac{14}{18}[/tex]pounds of trail mix altogether.

3 [tex]\frac{14}{18}[/tex]÷ [tex]\frac{8}{1}[/tex] =

[tex]\frac{68}{18}[/tex]  ÷  [tex]\frac{8}{1}[/tex]=[tex]\frac{68}{144}[/tex]

which can be simplified to [tex]\frac{17}{36}[/tex]

So there are [tex]\frac{17}{36}[/tex]pounds of trail mix in each bag.

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Answer:

Game 1

Equal chance

Game 2

Step-by-step explanation:

A BETTER CHANCE OF WINNING

Each of the problems below describes two different games you can play with a random number generator. In each case, you will win if the random number generator gives you the indicated kind of number. Find the theoretical probability that you win each game below. Decide and justify whether Game I or Game II in each part, (a) through (c), gives you a better chance of winning.

Game I

a.Picking a prime number from the integers between 1 and  20

b.Picking a multiple of 5 from the integers between 1 and  20

c.Picking a multiple of 7 from the integers between 1 and 40  

Hint:

Find the percent chance that each event will occur and compare the results.

a.Picking a prime number from the integers between 21 and  40

b.Picking a multiple of 5 from the integers between 1 and  40

c.Picking a multiple of 6 from the integers between 1 and  25

Answer:

Game 1

Equal chance

game 2

Answer:

B 12

Step-by-step explanation:

Using pythagoras theorem

Answer:

x=-3, y=1. (-3, 1).

Step-by-step explanation:

-x+5y=8

3x+7y=-2

----------------

3(-x+5y)=3(8)

3x+7y=-2

--------------------

-3x+15y=24

3x+7y=-2

------------------

22y=22

y=22/22

y=1

-x+5(1)=8

-x+5=8

-x=8-5

-x=3

x=-3

Answer:

. The slope of the line indicates that test score and the time spent watching tv are negatively correlated

The coeficient of x^3+y^4 in the algebraic expression is the number 2

What is an algebraic expression?

An algebraic expression is a set of numbers and letters that make up an expression that has a meaning, the letters are variables and the numbers are coefficients or independent terms, algebraic expressions can be part of an equation and model mathematical processes.

In the given expression we have the following:

2x^3+ 2y^4

As we are asked for the coefficient of the variable "y" then we must take the number that is just before the letter which in this case is the number 2.

2 is the coefficient of x^3+y^4

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Answer:

J

Step-by-step explanation:

Answer:

33 ounces

Explanation:

20% of 27.5 ounces is 5.5 ounces.

To find how much more juice the container has, we add 5.5 to 27.5, which equals to 33 ounces

Answer:

2km

Step-by-step explanation:

Jamie is jogging from the park to the school

He has jogged 1.62 km so far

He has 0.38 km left

Hence he distance of the park from the school Is

1.62+0.38

= 2km

Answer: To solve this system of equations, you can use the substitution method.

First, you can solve one of the equations for one of the variables in terms of the other. For example, you can solve the first equation for y:

y = (-4x - 8)/4

Then, you can substitute this expression for y into the second equation to find the value of x:

-2x - 2((-4x - 8)/4) = 4

-2x + 4x + 8 = 4

2x = -4

x = -2

You can then substitute this value of x back into the first equation to find the value of y:

y = (-4(-2) - 8)/4 = (8 - 8)/4 = 0

Thus, the solution to the system of equations is x = -2 and y = 0.

Step-by-step explanation:

The various statements regarding the given scatter plot is checked and found to be true or false.

What is a scatter plot?

A set of dots plotted on a horizontal and vertical axis is known as a scatter plot. Because they can demonstrate the degree of connection, if any, between the values of observed quantities.

1)The equation of the line is y = 2500x - 125.

From the graph we can take two points on the line,

( 2,2250) and ( 10,1250)

Standard equation of line is y = mx + b

where b is y - intercept and m is slope

m = [tex]\frac{y_{2} - y_{1} }{x_{2}-x_{1}}[/tex] = [tex]\frac{1250 - 2250}{10 - 2}[/tex] = -125

From graph, b = 2500

Equation of line is

y = -125x + 2500

Therefore the given equation is false.

2) The group of hikers descends about 250 feet every minute.

      From the graph it is evident that for the interval between two points on y-axis is 250 feet and interval of x-axis is 1 minute.

So the hikers descend 250 feet every minute.

Therefore the given statement is true.

3) The hikers began at the elevation of 2500 feet.

     The x-intercept of the graph is 2500 feet.

      So the beginning elevation is 2500 feet.

 Therefore the statement is true.

4) The graph shows a negative association.

Since the line in the graph is going down and the slope is negative, the graph shows a negative association.

Therefore the statement is true.

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Answer:

2 hours!

Step-by-step explanation: