La unión de dos rayos o segmentos forman?

If x ≡ 7 (mod 20), then

x ≡ 7 ≡ 27 ≡ 47 ≡ 67 ≡ 87 ≡ … (mod 20)

or equivalently, x = 7 + 20k for some integer k.

Taken mod 4, we have

x ≡ 7 + 20k ≡ 3 (mod 4)

and mod 5,

x ≡ 7 + 20k ≡ 2 (mod 5)

so that a = 3 and b = 2.

Answer:

Distributive

Step-by-step explanation:

The equation just distributes the 0.5 to the numbers in the parenthesis.

The final price of the bouquet of flowers after applying sales tax and discount is $38.64.

It is given in the question that:-

The original price of bouquet of flowers = $46

Sales tax % = 12 %

Discount % = 25 %

We have to find the final price of the bouquet of flowers after applying sales tax and discount.

Sales tax = (12/100)*46 = $ 5.52

Total price of bouquet of flowers = 46 + 5.52 =  $ 51.52

Discount = (25/100)*(51.52) = $12.88

Hence,

The final price of the bouquet of flowers = 51.52 - 12.88 = $38.64

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Answer:

the answer is :

20 for the first figure

12 for the second figure

30 for the last figure

Answers:

==============================================

Explanation:

The perimeter is the total distance around the outer edge of the figure. It's the total amount of fence you need to enclose the region.

So we simply add up all the side lengths. Refer to the diagram to see any missing sides that aren't labeled (shown in blue).

For instance, the perimeter for problem 1 is 5+2+2.5+4+2.5+6 = 22 cm. Problems 2 and 3 are handled the same way.

It's not a typo that the perimeters of problems 1 and 2 are the same value. This is because both figures can be surrounded by a rectangle that is 6 cm across and 5 cm tall. The perimeter of the surrounding rectangle is exactly the same as the perimeter of the inner fenced region. We're effectively just moving fence around but not changing the perimeter.

Answer:

B

Step-by-step explanation:

AB=6 therefore Pto Q should be 6

6^2=36

8^2=64

add them together

=100

square root 100=10

divide by 2=5

Lets first look at the cost per round with the 25 round pass

Take the total cost and divide by the number of rounds

$84 / 25 rounds

$ 3.36 per round

OR

They can pay 3.25 per round with the single pay

$3.25 is less than 3.36 so it is cheaper ( less per round) to pay the single round price

Option 2 $3.25 is cheaper

Answer:

The linear equation is, y = 6.9286 + 0.9214

Step-by-step explanation:

The average of the sample ranges for the weight of packages of Skittles is 0.11. So, the correct answer is (e) 0.11.

To find the average of the sample ranges for the weight of packages of Skittles, we first calculate the range for each sample. The range is the difference between the maximum and minimum values in each sample.

Sample 1: Range\(= 3.62 - 3.58 = 0.04\)

Sample 2: Range\(= 3.65 - 3.49 = 0.16\)

Sample 3: Range \(= 3.65 - 3.45 = 0.20\)

Sample 4: Range \(= 3.64 - 3.54 = 0.10\)

Sample 5: Range\(= 3.62 - 3.49 = 0.13\)

Next, we calculate the average of these sample ranges:

A\(verage = (0.04 + 0.16 + 0.20 + 0.10 + 0.13) / 5 = 0.11\)

Therefore, the average of the sample ranges for the weight of packages of Skittles is \(0.11\). So, the correct answer is (e) \(0.11.\)

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Answer:

Perpendicular bisectors.

Step-by-step explanation:

This is called a circumscribed circle.

First you construct the perpendicular bisector of one side, then repeat with a second side. Where these lines cross is the center of the circle.

The real values of $c$ for which $x^2 + 16x + c$ is the square of a binomial are $64$ and $0$.

To find these values, we can use the concept of completing the square. For a quadratic expression to be the square of a binomial, the coefficient of the linear term ($16x$) must be twice the product of the square root of the constant term ($c$) and the square root of the coefficient of the quadratic term ($1$). In this case, the coefficient of the linear term is $16$ and the coefficient of the quadratic term is $1$. So, we have $16 = 2\sqrt{c}\sqrt{1}$.

Simplifying this equation gives $16 = 2\sqrt{c}$. Dividing both sides by $2$ yields $\sqrt{c} = 8$. Squaring both sides gives $c = 64$. Thus, $c = 64$ is one possible value.

Additionally, if we consider the case when $c = 0$, the quadratic expression becomes $x^2 + 16x + 0 = (x + 8)^2$. Therefore, $c = 0$ is another possible value.

In summary, the real values of $c$ for which $x^2 + 16x + c$ is the square of a binomial are $64$ and $0$.

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2a , 1st exp= a2 + ab

= a(a+b)

2nd exp = a2-b2

= (a+b) (a-b)

HCF = (a+b)

b, 1 st exp= (a+b)2

= (a+b)(a+)

2 nd exp = a2-b2

= (a+b) ( a-b)

HCF = (a+b)

c, 1 st exp= (a-1)2

= (a+1) (a-1)

2nd exp= a2-1

= (a+1)(a-1)

HCF = (a-1)

d, 1st exp= (x-2)(x-3)

= x(x-3)-2(x-3)

= x2 - 3x - 2x + 6

= x2- 5x+ 6

= x2 - (3+2)x + 6

=x2 -3x-2x+ 6

= x(x-3) -2(x-3)

=(x-3)(x-2)

2 nd exp = (x+2) (x-3)

= x( x-3) + 2 (x-3)

= x2 - 3 x+ 2x -6

= x(x-3) + 2(x-3)

=(x-3) ( x+ 2)

HCF = (x-3)

Answer:

If the value of the discriminant is equal to zero

If the value of the discriminant will equal to zero then there will not be both a positive and a negative solution, when finding the square root.​

The square root is the number with a power of 1/2 we can also say that by taking the square root we can find the original value of the number.

So from the condition given in the question that:-

There would NOT be both a positive and a negative solution, when finding the square root.​

So if the number is zero then there will not be both a positive and a negative solution, when finding the square root.​

=  √0 = ± 0 = 0

Hence the value of the discriminant will equal to zero then there will not be both a positive and a negative solution, when finding the square root.​

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Answer:

1. -12

2. 8

Step-by-step explanation:

We are given two equations, both with meanings of variables, making my job a little bit easier wink wink.

Let's start with 5x + 3 when x = -3

Substitute :

5(-3) + 3

-15 + 3

-12

Onto the next :

2x - 4 if x = 6

2(6) - 4

12 - 4

8

Answer:

The company will pay 43 + 24h dollars to hire both Jill and Kyle your welcome

Step-by-step explanation:

Answer:

i dont know

Step-by-step explanation:

The value of \(c\) such that the line \(y = 2\cdot x + 3\) is tangent to the parabola \(y = c\cdot x^{2}\) is \(-\frac{1}{3}\).

If \(y = 2\cdot x + 3\) is a line tangent to the parabola \(y = c\cdot x^{2}\), then we must observe the following condition, that is, the slope of the line is equal to the first derivative of the parabola:

\(2\cdot c \cdot x = 2\) (1)

Then, we have the following system of equations:

\(y = 2\cdot x + 3\) (1)

\(y = c\cdot x^{2}\) (2)

\(c\cdot x = 1\) (3)

Whose solution is shown below:

By (3):

\(c =\frac{1}{x}\)

(3) in (2):

\(y = x\) (4)

(4) in (1):

\(y = -3\)

\(x = -3\)

\(c = -\frac{1}{3}\)

The value of \(c\) such that the line \(y = 2\cdot x + 3\) is tangent to the parabola \(y = c\cdot x^{2}\) is \(-\frac{1}{3}\).

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Answer:

the and swer is 3x+9

hoped that helped

The slope of the plane's altitude gain is 1/7.

The slope of the plane's altitude gain can be calculated using the formula: slope = rise / run, where rise is the change in altitude and run is the horizontal distance covered.

In this case, the rise is 2000ft and the run is 14000ft. Therefore, the slope of the plane's altitude gain is:

slope = 2000 / 14000

slope = 1/7

This means that for every 7 units of horizontal distance covered by the plane, it gains 1 unit of altitude. In other words, the slope represents the steepness of the plane's climb. A slope of 1/7 indicates a relatively gentle climb compared to a steeper slope.

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Answer:

-4

Step-by-step explanation:

substitute -2 into the formula and solve

\(f(x)=(-2)^2+3(-2)-2\\f(x)=4+(-6)-2\\\boxed{f(x)=-4}\)

An account that pays 6% interest and is compounded monthly. At the end of five years, you will have approximately $6,691.13 in the account.

To calculate the amount you will have at the end of five years, we can use the formula for compound interest:

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

Where:

A = the final amount

P = the principal amount (initial investment)

r = annual interest rate (in decimal form)

n = number of times the interest is compounded per year

t = number of years

In this case, the principal amount (P) is $5,000, the annual interest rate (r) is 6% (or 0.06 in decimal form), the interest is compounded monthly, so the number of times compounded per year (n) is 12, and the number of years (t) is 5.

Plugging these values into the formula, we have:

A = $5,000(1 + 0.06/12)^(12*5)

Calculating the expression inside the parentheses first:

(1 + 0.06/12)^(12*5) ≈ 1.33822558

Now, substituting this value back into the formula:

A ≈ $5,000 * 1.33822558

A ≈ $6,691.13

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angle measure | rotation

0                               0

π/6                          1/12

π/4                         1/8

π/2                          1/4

2π/3                        1/3

π                             1/2

3π/2                        3/4

2π                             1

An angle is a measure of the amount of turn between two lines or rays that share a common endpoint. The unit of measure for angles is usually degrees, but radians and gradians are also used.

Since 2π radian corresponds to 1 full rotation. We can say:

π/6 radian = π/6 * 1/2π = 1/12 rotation

1/8 rotation = 1/8 * 2π = π/4 radian

1/6 rotation = 1/6 * 2π = π/3 radian

π/2 radian = π/2 * 1/2π = 1/4 rotation

2π/3 radian = 2π/3 * 1/2π = 1/3 rotation

1/2 rotation = 1/2 * 2π = π radian

3π/2 radian = 3π/2  * 1/2π = 3/4 rotation

1 rotation = 2π radian

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The amount of Chemical  B needed is 1.6 g.

This refers to a diagram that shows a series of one or more points, lines, line segments, curves, or areas that represents the variation of a variable when compared with that of one or more other variables.

The quantity of Chemical B is plotted against the quantity of  Chemical A.

Chemical B  is plotted on the vertical axis using the scale of 1 cm to represent 2 units. Chemical A is plotted on the horizontal axis using the scale of 1 cm to represent 1 unit.

Therefore, on the graph, the line passing through the origin of the graph shows that when  1.4 g of Chemical A is used  1.6 g of Chemical B is needed.

Chemical B  is plotted on the vertical axis using the scale of 1  cm to represent 2 units.

To get the amount of Chemical B is  on vertical axis =  2 grams

                                                                                             5 boxes

                                                                                       =0.4 g

Tracing the mass of Chemical A used 1.4 g it meets the line passing through the center at 4th line (4th box).

To get the amount of Chemical B is  on vertical axis = amount of Chemical B per box * the number of line (boxes).

To get the amount of Chemical B is  on vertical axis = 0.4 g * 4 lines (boxes)

                                                                                        = 1.6 g

Hence The amount of Chemical  B needed is 1.6 g.

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Answer:

2x+ 2y = -2

Step-by-step explanation:

Given the equation of a line as x + y = -1

To get the equation of the line P so the set of equations has infinitely many solutions, we will have to multiply the given equation by a factor

Multiplying the given equation by a factor of 2;

Given x + y = -1

Multiplying both sides by 2;

2(x + y) = 2(-1)

2x+ 2y = -2

Hence the required equation is 2x+ 2y = -2

Answer:

\(B=4^{3} feet\)

Step-by-step explanation:

The altitude of B = 16A and we now that A = 4 feet.

Finally B will be:

\(B=4^{2}*4=4^{3} feet\)

I hope it helps you!

Answer:

Below

Step-by-step explanation:

Losing 27 % of value each year means it retains 73% each year

  we need to multiply 20 000 x  .73 x .73 x .73     ....  .73     (twelve times )

                  or   re-written as   20 000 * .73^12 = value =$ 458.04

Answer:

$864.63

Step-by-step explanation:

I hoped this helped:)