solve for x in the simplest form

Answer: [tex]r=-\frac{2}{3} \pm \frac{i\sqrt{23}}{3}[/tex]

Step-by-step explanation:

[tex]3r^2 +4r+9=0\\\\3\left(r^2 +\frac{4}{3} r \right)+9=0\\\\3\left(\left(r+\frac{2}{3} \right)^2 -\frac{4}{9} \right)+9=0\\\\3\left(r+\frac{2}{3} \right)^2 -\frac{4}{3}+9=0\\\\3\left(r+\frac{2}{3} \right)^2 =-\frac{23}{3}\\\\\left(r+\frac{2}{3} \right)^2 =-\frac{23}{9}\\\\r+\frac{2}{3}=\pm \frac{i\sqrt{23}}{3}\\\\r=-\frac{2}{3} \pm \frac{i\sqrt{23}}{3}[/tex]

The possible number of green tiles in the rectangle can be found to be H. 24.

The number of green tiles and red tiles in the rectangle will need to be expressed as whole number alone.

This means that because the ratio of the green tiles to the red tiles is 3 : 4, number of green tiles should be divisible by 3.

The numbers given are:

= 10 / 3

= 3.33

16:

= 16 / 3

= 5.33

24:

= 24 / 3

= 8

Because 24 is divisible by 3, there must be 24 green tiles in the rectangle.

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Answer:

Difference Between Active and Passive Transport

Active Transport Passive Transport

Active transport is an energetic process. It is a physical process.

It is extremely selective. It is partially non-selective

It is a quick process. It is a moderately slow process.

It Occurs in one direction. It occurs bidirection

Answer:

4y

Step-by-step explanation:

the graph is that also 02929393 i needed points

Answer:

canadate A =4 votes

Step-by-step explanation:

Answer:

A. 125/100 = p/35

Step-by-step explanation:

" I hope it helps : - ) "

m = (-1/2 - 3/4) / (5/6 - (-2/3))

= (-2/4 - 3/4) / (5/6 + 4/6)

= (-5/4) / (9/6)

times 24 on top and bottom,

= -30/36

= -5/6

$17,260.27

Divide 6.3 million dollars by 365 to show how much the basketball players earns in a day

Answer:

28

Step-by-step explanation:

64 - 9(4)

64 - 36

28

According to the concept of unitary method, the number of pennies are 6.

Unitary method:

The process of finding the value of a single unit, and based on this value is called as unitary method.

Given,

Out of 150 coins, 90 are quarters. Of the remaining coins, 40% are nickels and the rest are dimes and pennies. There are 5 dimes for every penny.

Here we need to find the number of pennies in the coins.

Here we know that the total number of coins are 150, thus includes

=> Quarters + nickels + dimes + pennies = 150 

Here the number of Quarters are 90 

Therefore, the remaining coins are calculated as,

=>  150 − 90 = 60

Here the percent of nickels is 40, then the number of nickels is

=> 60x 40/100

=> 24 numbers

Now, the remaining coins such as dimes and pennies are

=> 60 − 24 = 36 numbers.

Here we know that, in (5 + 1) = 6 coin of dimes and pennies there is 1 penny

So, in 36 coin of dimes and pennies there are,

=>36 / 6

=> 6 

Therefore, there are 6 pennies.

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A

C

A

D

B

You're welcome :)

Answer:

The correct Answer is 4:2:3

Step-by-step explanation:

ABC in the ratio 1 by 3 1/2 1/4 money is distributed ABC is equal to 2 by 3 egg be caused by a and c equal to 1 by 4 BC value a + b + c will be 7200

36 X + 1 by 4 X equal to 7203 B12 for dual is right down here now divide 12343 12 and 4 x is 144 Avenger 4 Hindi 2020 worldwide 6 then it will be 2 and 2 X 1 will be 2 + 12 and 72 value will be 9 x 12 equal to make a call to 7212 989 and

n7200 will be divided by 3 and answer will be 2424 4 will be 9696 amount of a 1 by X equal to 1 by 3 X 9600 equal to 3200 amount of the one my c equal to 1 by 6 multiply 9600 be 1602 14 x 9600 will be 2400

solution of this question

Answer:

8x+7+11x+2=180

11x_8x +7+11=180

3x+18=180

3x=180_18

3x=168

x=168÷3

x=56

The worth in 5 years is $1,383,441.63. option B is the correct answer

From the question, we have

worth in 5 years = current value * ( 1 + rate) ^ 5

= 810,000*( 1 + 11.3/100) ^ 5

= 810,000*( 1.113) ^ 5

=$1,383,441.63

Multiplication:

Finding the product of two or more numbers in mathematics is done by multiplying the numbers. It is one of the fundamental operations in mathematics that we perform on a daily basis. Multiplication tables are the main use that is obvious. In mathematics, the repeated addition of one number in relation to another is represented by the multiplication of two numbers. These figures can be fractions, integers, whole numbers, natural numbers, etc. When m is multiplied by n, either m is added to itself 'n' times or the other way around.

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The value of x in the polygon is 9

A heptagon is a polygon that has seven sides. It is a closed figure having 7 vertices. A heptagon is also sometimes called Septagon.

In Geometry, the shape that is bounded by at least three straight lines or at least three interior angles is called polygon. The most common examples of polygons are

Triangle ( 3 sided polygon)

Quadrilateral ( 4 sided polygon)

Pentagon ( 5 sided polygon)

The polygon is a heptagon with number of sides n = 7

sum of interior angles of a polygon = (n - 2) x 180

if n = 7,

Sum of the interior angles = (7 -2) x 180

                                            = 5 x 180

                                            = 900

summing all the angles in the given polygon, we have

135 + 3x + 31 + 4x + 15 + 6x - 8 = 120 + 7x - 64 + 5x - 4 = 25x + 675

25x + 675 = 900

25x = 900 - 675

25x = 225

x = 225/25

x = 9

In conclusion, the value of x for the given polygon is 9

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Answer:

The right whale is 100 times more massive that the polar bear

Step-by-step explanation:

7 x 10^2 = 700 kg

7 x 10^4 = 70,000kg.

Check: 700 x 100 = 70,000

(the equivalent mass of 10 polar bears equals that of one whale)

:)

The number of short sleeves that Maria sold is 819.

Ratio demonstrates how many times one number can fit into another number. Ratios contrast two numbers by ordinarily dividing them.

In this case, Maria’s clothing store sold 1547 shirts with the ratio of short sleeve to long sleeve shirt being 9:8.

The number of short sleeves will be:

= Ratio for short sleeve / Total ratio × Total number of clothes

= 9 / (8 + 9) × 1547

= 9/17 × 1547

= 819

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Answer: 2187

Step-by-step explanation: Raise 3 to the power of 7 = 2187

Answer: It adds to your purchasing power.

Answer: It adds to your purchasing power

Step-by-step explanation:

Edmentum it's right.

The skew lines in the prism shown, considering their definition, are given as follows:

QT and WX.

Skew lines are pairs of lines that share these two features:

Hence, for each option in this problem, we have that:

Hence there is only one pair of skew lines, given by lines QT and WX, thus only the third option should be marked.

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Hey there! I would be glad to help you out.

For the first two miles, the price would be six dollars total.

For every mile after that, you would be charged two dollars.

Assuming that you travel 8 miles, you would have to pay six dollars for the first two miles (3*2), and twelve dollars for the last six miles, totaling eighteen dollars.

So the price of an eight mile ride would be eighteen dollars.

You can use this logic for the 50 miles trip too. After traveling 2 miles ($6), there will be 48 more miles.

For these 48 miles, it'll only charge you two dollars each, which would total 96 dollars.

So the price of a fifty mile ride would total $102.

I wish you luck on your homework!

Grocer will mix 20 pounds of the kenyan beans $8.25per/lb one and another 30 pounds of the venezuelan beans $9.50per/lb one.

Let's x be the kenyan beans that sell for $8.25 per pound and y be venezuelan beans that sell for $9.50 per pound.

Altogether there are 50 pounds of beans.

The algebraic equation would be x + y = 18.

At $9.00 per pound, he will make 50 * $9.00 = $ 450.0

So, how many of the x and y kinds of coffee should he use to make the $9.00 per pound mixture which will net him $450.0.

The algebraic equation would be 8.25x + 9.50y = 450

We now have two equations

x + y = 50 --(i)

8.25x + 9.50y = 450 --(ii)

Substituting x= 50 - y in the second equation gives us

8.25(50-y) + 9.50y = 450

412.5 - 8.25y + 9.50y = 450

1.25y = 450 - 412.5

1.25y = 37.5

y = 30

Substitute the value of y in equation(i)

x + y = 50

x = 50 - 30

x = 20

Hence, Grocer will mix 20 pounds of the kenyan beans $8.25per/lb one and another 30 pounds of the venezuelan beans $9.50per/lb one.

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Answer:

D)

Step-by-step explanation:

Let the original length be 'x'.

Percentage error = 5 %

So, (100 -5)% = 95% of the original measurement is 3.99 m

     95% of x = 3.99

     [tex]\sf \dfrac{95}{100}*x = 3.99[/tex]

              [tex]\sf x = \dfrac{3.99*100}{95}\\\\x = \dfrac{399}{95}\\\\\\x = 4.2 m[/tex]

Original length = 4.2 m

The Z-score of a value is the count of the number of standard deviations between the value and the mean of the set. Hence, the height of a man with a z-score is [tex]25.35inches[/tex]

What is z-sore ?

The z-score of a value is the count of the number of standard deviations between the value and the mean of the set. You can find it by subtracting the value from the mean and dividing the result by the standard deviation.

Here given that,

mean=[tex]69.0 inches[/tex]

standard deviation=[tex]2.8 inches[/tex]

[tex]x=-2[/tex]

The general formula of the z-score is

[tex]z=\frac{x-mean}{standard deviation}[/tex]           .......[tex](1)[/tex]

Now, putting the values in the equation [tex](1)[/tex], we get

[tex]z=\frac{-2-69.0}{2.8}\\z=\frac{71}{2.8}\\z=25.35inches[/tex]

Hence, the height of a man with a z-score is [tex]25.35inches[/tex]

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Step-by-step explanation:

0.16666666666

In the year 2018, the amount that Chase owes in federal income taxes is $16, 280.70

In 2018, Chase earned $91, 630 which put him in the 24% tax bracket. Here, his tax is $14,089.50 plus 24% of every dollar above $82,500.

The amount that Chase made above $82, 500 is:

= 91, 630 - 82, 500

= $9, 130

The federal income tax that Chase owes is therefore:

= 14, 089.50 + (9, 130 x 24%)

= 14, 089.50 + $2, 191. 20

= $16, 280.70

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Answer: $16,280.70

Step-by-step explanation:

First, find the difference between $91,630 and $82,500 to find the amount that is taxed at the 24% tax rate.

$91,630−$82,500=$9,130

Now, multiply $9,130 by 24% to find the additional amount of tax.

$9,130⋅24%=$2,191.20

Add $2,191.20 to $14,089.50 to find the total amount of federal income taxes Chase owes.

$2,191.20+$14,089.50=$16,280.70

Therefore, Chase owes $16,280.70 in federal income taxes for 2018.

They could have biked on first day at the speed of x/4 miles per hour and on the second day at the speed of (88-x)/6 miles per hour where x is the distance covered on first day.

According to the question,

We have the following information:

Jaden and Emilia biked 88 miles from Daytona Beach to Jacksonville in 2 days. They spent 4 hours biking the first day and 6 hours biking the second day. They biked at one speed the first day and a different speed the next day.

Now, let's take the distance covered on first day to be x miles.

Distance covered on second day = 88-x miles

Following formula is used to find the speed of an object:

Speed = distance/time

Speed of first day = x/4 miles per hour

Speed of the second day = (88-x)/6 miles per hour

Hence, they could have biked on first day at the speed of x/4 miles per hour and on the second day at the speed of (88-x)/6 miles per hour where x is the distance covered on first day.

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Answer:

(-12, 10)

Step-by-step explanation:

2x + 4y = 16

-2x - 3y = -6

Add the equations to eliminate x.

y = 10

2x + 4y = 16

2x + 4(10) = 16

2x = -24

x = -12

Solution:

x = -12; y = 10

(-12, 10)

The mean age (nearest year) of all the people in the office is 22.4.

Age for women

Age = 12 women × 22 years old / 12

Age = 264 /12

Age = 22

Age for men

Age = 3 men × 24 years old / 3

Age = 72/3

Age = 24

Now let find the mean age

Mean age = Sum of men and women age / Number of men and women

Mean age = 264 + 72 / 12 +3

Mean age = 336 /15

Mean age = 22.4

Therefore the mean age is 22.4.

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