What is the distance from the origin to point A graphed on the complex plane below?
-5-4-3
O √5
O√13
O 9
-94
--
13
A
& 1 14.
543
2
1
+2+
Mark thin ond roturn
-3-
4
4
L
1 2 3 4 5 X
Save and Exit
57

P(12,8)

Move  8 units to the left (X) and  12  units down(Y).

P'(12-8, 8-12)

P'(4, -4)

If you don't how to do translation try plotting (12,8).

Answer:

the answer is 24 sides

explanation

rectangular Persian rug's measurements are 10 ft in length and 1 ft in width.

Let's say that the Persian rug is rectangular, with length "l" and width "w".

The total of a rectangle's four sides is known as the perimeter, and it can be calculated as follows:

Perimeter = 2l + 2w

Given that the distance around it is 22 feet, we can write:

2l + 2w = 22

When we simplify this equation, we obtain:

l + w = 11

A rectangle's area is determined by the product of its length and breadth, which may be written as follows:

l x w = area

Given that the space is 10 square feet, we can write:

l x w = 10

Two equations with two variables are now available:

L+W = 11, and L x W = 10.

To find l and w, we can utilise substitution or elimination. For instance, we can solve for w from the first equation in terms of l:

w = 11 - l

Using this expression as w's replacement in the second equation, we obtain:

l x (11 - l) = 10

The result of expanding and rearrangement is a quadratic equation:

l² - 11l + 10 = 0

Using the quadratic formula or factoring, we can solve this quadratic problem. Factoring results in:

(l - 10)(l - 1) = 0

so either l = 10 or l = 1 is true.

w = 1 if l = 10, otherwise. w equals 10 if l = 1.

As w is always smaller than l, we have

The rectangular Persian rug's measurements are 10 ft in length and 1 ft in width.

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Answer:

15^4

Step-by-step explanation:

An exponent refers to the number of times a number is multiplied by itself,

so 15 multiplied 3 more times by itself (15 * 15 * 15 * 15) its 15^4.

[tex]15^{4} .[/tex]

When working with positive non fractional exponents, we state that a number A elevated to the n power is that number A in a multiplication of itself n times. For example, when we write [tex]7^{3}[/tex] we're stating that the seven is being multiplied 3 times: [tex]7*7*7[/tex].

As you may see, the expression "15*15*15*15" is just the number 15 being multiplied by itself four times. Hence, we could say that the number 15 to the power of 4. Thus, we can rewrite it as:

[tex]15^{4} .[/tex]

Answer:

Step-by-step explanation:

In a parallelogram, opposite sides are congruent. To prove this, you would need to show that the following two conditions are true:

The length of one pair of opposite sides is equal.

The two pairs of opposite sides are parallel.

To show these two conditions, you may need additional segments or points such as:

Perpendicular lines or segments to the sides to help show the sides are parallel.

Diagonal segments to help show that the parallelogram is a rectangle and that the sides are equal in length.

By showing these two conditions, you can conclude that the opposite sides of a parallelogram are congruent.

Answer:

P=10x^2+38y

Step-by-step explanation:

its the answer

Answer:

The original number is 86.

Step-by-step explanation:

The only two-digit numbers whose digits sum to 14 are:

If we reverse and double the original number:

If we add the result of reversing and doubling the original number to the original number:

As the sum of adding the result of reversing and doubling the original number to the original number is 222, the original number must be 86.

Answer:

Option D.

Step-by-step explanation:

Negative correlation also called an " inverse correlation " is a relation between 2 variables where-by they behave in opposite manner. When one variable moves ---> in an increasing /\ direction, the other variable moves in a decreasing \/ direction.

Thus, Option D.

Answer:

  3 : 4

Step-by-step explanation:

You want to know the ratio of areas of a rectangle and square such that the rectangle is 50% longer and 50% narrower than the square.

A square that is 2 units on a side will be transformed to a rectangle that is 1.5×2 = 3 units long, and 0.5×2 = 1 unit wide.

The rectangle area is 3×1 = 3. The square area is 2×2 = 4.

The ratio of areas is ...

  rectangle area : square area = 3 : 4

a) The value of z-score is -0.299.

c) The IQR value is measure of spread of data,  IQR = 4.25.

d) There is outliers since observations are not less than 30.375 and greater than 47.375.

The z-score is an example of a standardised score. The standard deviation of a data point's divergence from the mean of the distribution is calculated using a z-score.

Given:

Sample Data = 31.5, 36.0, 37.8, 38.5, 40.1, 42.2, 34.2, 36.2, 38.1, 38.7, 40.6, 42.5, 34.7, 37.3, 38.2, 39.5, 41.4, 43.4, 35.6, 37.6, 38.4, 39.6, 41.7, 49.3

(a) The value of z-score is calculated as follows,

μ = [tex]\sum _{i=1}^n[/tex]/ n = 933.1 /24 = 38.88

σ = 3.61

So, z = X - μ / σ  

 = 37.8 - 38.88/3.61

 = −  0.299

(b) Quartile:

Q₁ = ( n+1/4)th value

= (24+1/4)th

= 6.25th

=  36.2 + 0.25 x ( 37.3 −  36.2 )  

= 36.47

and, M = ( n+1/2)th value

= (24+1/2)th

= (24+1/4)th

=  12.5 t h

= 38.4 + 38.5/2

= 38.45

Q₃ = 3( n+1/4)th

= 3(24+1/4)th

= 18.75 t h  

= 40.6 + 0.75 x ( 41.4  −  40.6 )  

= 41.2

(c) Interquartile​ range

=  Q ₃ −  Q ₁  

= 41.2  −  36.47  

= 4.25

(d) Lower fences =  Q₁− 1.5 ( I Q R )  

                           =  36.75 −  1.5  ( 4.25 )  

                           =   30.375  

Upper fences = Q ₃+1.5

                      =  41 + 1.5( 4.25 )  

                      = 47.375

Hence, there is outliers since observations are not less than 30.375 and greater than 47.375.

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Answer:

[tex]\frac{1}{10}[/tex]

Step-by-step explanation:

The total value of $6800 compounded quarterly at 6% for 3 years is $8,123

From the question, we have

A = final amount

P = principal amount (initial investment) = $6800

r = annual interest rate = 0.06 ie. 6%

n = number of times interest is compounded per year = 4

t = time (in years) = 3

The total value is calculated as:

A = P(1 + r/n)^(nt)

substitute the known values in the above equation, so, we have the following representation

A = 6800(1 + 0.06/4)^(4*3)

Evaluate

A = 8130.2

Hence,, the value is $8130.2

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Answer:

5

_ y - 7

3

the five is floating for some reason its supposed to be under the line

The relation is a direct variation

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

10 inches in 6 hours

80 inches in 2 days

Convert 2 days to hours

So, we have the following representation

10 inches in 6 hours

80 inches in 72 hours

For the relation to be a direct variation, the following must be equal

6/10 = 72/80

Evaluate

0.6 = 0.6

Hence, the relation is a direct variation

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Complete question

Determine if the following relation represents a direct variation

10 inches in 6 hours

80 inches in 2 days

Answer:

3w= 17.98-6.88

3w=11.1

w =3.7

Step-by-step explanation:

After subtracting divide both side by 3

Answer:

w = 3.70

Step-by-step explanation:

Given that,

6.88 + 3w= 17.98 ..........(1)

Now subtracting both sides by 6.88 in equation (1), We have

6.88 + 3w - 6.88 = 17.98 - 6.88

or, 3w + 0 = 11.1

or, 3w = 11.1

Again dividing both sides by 3 in the above equation, We have

[tex]\frac{3w}{3}=\frac{11.1}{3} = 3.70[/tex]

Hence the required answer is w = 3.70

Answer:

The solution is 23/500 or 0,046

Step-by-step explanation:

6 3/14÷250+5 2/7÷250

= 6 3/14×1/250+5 2/7×1/250

= (87/14×1/250)+(37/7×1/250)

= (87/3500)+(37/1750)

= 87+37(2)/3500

= 87+74/3500

= 161/3500

= 161÷7/3500÷7

= 23/500

= 0,046

The given system of linear equations has a unique solution.

A linear equation is an algebraic equation in which each term has an exponent of 1 and when graphed, the result is always a straight line.

Given that, a system of linear equations, ​ y = 5x+1 and y = -2x-8, we are asked to find how many solutions do they have,

The rule for a system of linear equations, ​a₁x+b₁y+c₁ = 0 and a₂x+b₂y+c₂ = 0 are :-

​a₁ / a₂ ≠ b₁ / b₂, and the lines intersect at one only point.

a₁ / a₂ = b₁ / b₂ ≠ c₁ / c₂, and the lines are parallel.

a₁ / a₂ = b₁ / b₂ = c₁ / c₂, and the lines overlaps.

Checking for the given equations,

y = 5x+1 and y = -2x-8

Converting into standard form of the linear equations,

5x-y +1 = 0 and 2x+y+8 = 0

5/2 ≠ -1

The equation is following the rule of unique solution, also the graph is intersecting at one point, [graph is attached]

Hence, the given system of linear equations has a unique solution.

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Answer:

One solution

Step-by-step explanation:

The base-nine system of 76 base 10 is 84

We will divide 76 by 9 and write down the remainder

9 | 76 R

9 | 8 | 4

9 |8 | 8

The remainder is then written from the bottom value giving us 84

Consequently, base 10 numbers can be converted to base 9 by dividing by 9 and writing the remainder in the reverse order of bottom to top.

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Answer:

When it comes to right trangles, to find the value of x, what ever 9 plus x is, it is equal to 24.

You want to subtract 9 and 24 to get the x value:

24 - 9 = 15

x = 15

Step-by-step explanation:

Hope it helps! =D

Hi there, here's your answer:

Given a right angled triangle

With the hypotenuse as 24 units and one of the legs as 9 units
To find:

The 3rd side denoted as 'x'

Solution:

We use Pythagoras Theorem:

[tex]a^2 + b^2 = c^2[/tex]

Where a and b are the legs and c is the hypotenuse.

We know the value of c and b

And a = x
Thus,

[tex]x^2 = c^2 - b^2[/tex]

[tex]x^2 = 576 - 81\\[/tex]

[tex]== > x^2 = 495\\[/tex]

Or
[tex]x = \sqrt{495} = 3\sqrt{55} = 22.248[/tex] units

Hope it helps! Please mark as Brainliest!

After 40 years, the account has a total balance of $49.450.80.

Any loans or borrowings come with interest. the portion of the loan's value that lenders use to calculate interest. By lending money (via a bond or certificate of deposit, for instance), or by depositing funds into an interest-bearing bank account, consumers can earn interest.

here, we have,

Let's assume that he starts with $0 in the account and makes a monthly contribution of $100 for 40 years, which is equal to 40 x 12 = 480 months.

The total contributions would be $100 x 480 = $48,000.

The interest earned on the account balance can be calculated as follows:

Interest = Account balance * Interest rate

At the end of each year, the interest is added to the account balance. So, after 40 years, the balance would be:

Year 1: $48,000 * 1.5% = $720

Balance = $48,000 + $720 = $48,720

Year 2: $48,720 * 1.5% = $730.80

Balance = $48,720 + $730.80 = $49,450.80

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Due to length restrictions, we kindly invite to read the explanation of this question for further details about two numbers related to a given sum and a given product.

In this problem we find 48 case of two numbers that must be found and whose sum and product are given. Mathematically speaking, the expressions describing the problem:

x₁ + x₂ = b

x₁ · x₂ = c

Whose solution can be found by numerical methods.

Now we proceed to determine the values for each cases:

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Statistics is referred to as a discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

This is referred to as information that has been translated into a form that is efficient for movement or processing.

Statistics involves using information that has been translated into a form that is efficient for movement or processing through different tools such as mean standard deviation etc.They help to provide more details about a set of data which makes it use very important.

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The equation for the function is [tex]y=-0.15x+240[/tex].

What is a linear equation?

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, occasionally referred to as a "linear equation of two variables."

It is given that the amount of fuel filled up in Jon's semi truck is 240 gallons.

It is also given that for 1 mile the truck uses 0.15 gallons of fuel.

So, for "x" miles, the truck uses 0.15*x gallons of fuel.

So, the remaining fuel in the tank will be 240-0.15x.

Let the remaining fuel be "y".

This can be written as:

[tex]y=240-0.15x\\y=-0.15x+240[/tex].

Therefore the remaining fuel in the tank after Jon drives x miles will be a linear equation [tex]y=-0.15x+240[/tex]

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The point estimate of the population mean is 6

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

Measurements: 5, 10, 2, 7, and 6.

Sample size = 5

The point estimate of the population mean is the sample size of the mean

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

Sample mean  = Sum/Count

substitute the known values in the above equation, so, we have the following representation

Sample mean  = (5 + 10 + 2 + 7 + 6)/5

Evaluate

Sample mean = 6

Hence, the estimate is 6

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Step-by-step explanation:

[tex] \frac{1}{ \sin(x ) } - \frac{1}{ \csc(x) } = \csc(x) - \sin(x) [/tex]

[tex] \frac{ \csc(x) - \sin(x) }{ \csc(x) \sin(x) } [/tex]

[tex] \csc(x) - \sin(x) = \csc(x) - \sin(x) [/tex]

➡ There are 22 hundredths. That is enough to make a tenth.

What is the arithmetic operations?

Arithmetic is an elementary part of mathematics that consists of the study of the properties of the traditional  operations on numbers—addition, subtraction, multiplication, division, exponentiation, and extraction of roots. In the 19th century, Italian mathematician Giuseppe Peano formalized arithmetic with his Peano axioms,[disputed – discuss] which are highly important to the field of mathematical logic today.

The four basic mathematical operations are Addition, subtraction, multiplication, and division.

To find the total volume of the slime, we need to add 1.5 and 0.72:

1.5 + 0.72 = 2.22

There are 22 hundredths, which is enough to make a tenth.

Hence, the answer is:

➡ There are 22 hundredths. That is enough to make a tenth.

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The percentage of gratuity paid is 20%.

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

Amount for the bill = $50

Amount paid = $60

The amount of gratuity.

= 60 - 50

= $10

Now,

The percentage of gratuity.

= 10/50 x 100

= 20%

Thus,

The percentage of gratuity is 20%.

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The system of equations defined by the supply and demand models solved for equilibrium price is $9 and equilibrium quantity is 3000 units

Supply:

p=0.003x

x = p/0.003

x = 1/0.003p

Demand:

p= -0.008x+330

-0.008x = p - 330

x = (p - 330)/-0.008

Equilibrium price

Equate supply and demand price

0.003x = -0.008x+330

0.003x + 0.008x = 330

0.011x = 330

x = 330/0.11

x = 3,000

Substitute into

p=0.003x

p = 0.003(3000)

p = $9

Consequently, the equilibrium quantity and price is 3000 units and $9

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I think this is it

252-(193×n) =131