what is the minum of two colors needed?​

The actual divorce rate in the United States is around 39%, and it is important to consider the specific factors that contribute to divorce rates rather than relying on a generalization about marriage.

The statistic that half of all marriages end in divorce is not an accurate depiction of the situation.

The statement is false.The statement that half of all marriages end in divorce is a widely held belief that has been perpetuated by popular media, but it is not an accurate depiction of the situation.

The actual divorce rate in the United States has been declining since the 1980s and is currently around 39%.The misconception about the high divorce rate is due in part to the fact that many people get divorced more than once, inflating the overall divorce rate.

Additionally, certain demographics are more likely to get divorced than others, such as those who marry at a young age or those with lower levels of education. Therefore, it is important to consider the specific factors that contribute to divorce rates rather than relying on a generalization about marriage.In conclusion, the statement that half of all marriages end in divorce is false.

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Answer:

  lies in the shaded regions of both the top and bottom inequalities

Step-by-step explanation:

For a point to be a solution of two inequalities, it must lie in both solution sets. It ...

  lies in the shaded regions of both the top and bottom inequalities

We want to define when a point is a solution of a system of inequalities, we will see that the correct option is: "lies in the shaded regions of both the top and bottom inequalities."

Just like in a system of equations, a solution of the system is must be a solution of both equations.

Here, a solution ot the system of inequalities must be at the same time a solution of each inequality.

Remember that the solutions of the inequalities are represented by shaded regions, so the point must belong to the intersection of the two shaded regions.

So the correct option is:

"lies in the shaded regions of both the top and bottom inequalities."

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Answer:

its either a rectangle or a square

Step-by-step explanation:

for it to be a rectangle there must be 4 right angles, but for it to be a square, there must be both 4 right angles and each side must be the same

Answer:

z = 1

Step-by-step explanation:

12 = 15(z - 1/5)

12/15 = z - 1/5

4/5 = z - 1/5

z = 1

Answer:

z = 1

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

12 = 15(z - 1/5)

12/15 = z - 1/5

4/5 = z - 1/5

z = 1

(P.S I did the khan academy)

Answer:

You are 78 years old.

Answer:

Naw bro you're 0

Step-by-step explanation:

In the given question, option D  is correct .Because power of power rule for exponent verified the answer.In given expression 2, option A is correct.Because \(\sqrt4^{5}\) is equal to given expression \(4^{5/2}\).

What is exponent?

Exponent refer to the number of times a number is multiplied by itself.It is a number or letter written above and to the right side of a mathematical expression .

There are many exponent rules.Each rule shows how to solve different types of math equation and how to add, subtract , multiply and divide exponent.

we use power of power rule  for exponent :

\((a^{m})^{n} =a^{mn}\)

\((4^{5})^{1/2} = 4^{5/2}\)

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The correct inequality is the one in option C.

x ≥ 85

Here we know that:

Julie's Snow Cone Shack sells at least 85 snow cones every Saturday.

So she can sell 85 cones or any number larger than 85.

We want to write an inequality that represents this, using x as the x, we can write:

x ≥ 85

That says that x can be equal to or larger than 85.

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Answer:

y=8x

Step-by-step explanation:

hubsdgvgcsvya

The equation that shows that the total number of markers Mrs. Larsen gets y depends on the number of boxes she buys x, will be;

⇒ y = 8x

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Mrs. Larsen wants to get some markers for her class.

She notices that they come in boxes of 8.

Now,

Let total number of markers = y

And, Number of boxes = x

Here, She notices that they come in boxes of 8.

So, We can formulate;

⇒ y = 8x

Thus, The equation that shows that the total number of markers Mrs. Larsen gets y depends on the number of boxes she buys x, will be;

⇒ y = 8x

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Answer: hello your question lacks vital data hence I will provide you with a general equation within the scope of your question

answer :

General equation = ( Stiver and Mackay or EPA ) evaporation equations

E = \(\frac{PAW}{T +459.67}\)  or  E = \(\frac{7.4PA(0.447W)^{0.8} }{T + 459.67}\)

Step-by-step explanation:

Given data

volume of water in pool = 0.9 i.e. 90% full

rate of evaporation = 7.5ft^3  per day = 56.1039 gallons / day

Assumption :

Volume of pool = 16,000 gallons

In order to resolve the missing part of the problem  apply the equation below

E = \(\frac{PAW}{T +459.67}\)   or   E = \(\frac{7.4PA(0.447W)^{0.8} }{T + 459.67}\)

where : E = Evaporation rate , P = water's vapor pressure ,  A = pool surface Area , W = wind speed ,  T = Temperature in Fahrenheit

Answer:

− 312500

Step-by-step explanation:

Whenever looking at sequences, you have to attempt to find a common factor between the members of that sequence, be it the difference between them, a common divisor, a common multiplier, etc. In this case, we can see that if we divide each member by the previous one, we get a the same number:

100/-20 = -5

-20/4 = -5

So our sequence, starting at 4 is represented by the following recursive equation:  

Hope this helps. :D

Answer: x = -2 or 9

Explanation:

(x + 2)(x - 9) = 0

x + 2 = 0

or

x - 9 = 0

Therefore, x = -2 or 9.

Sorry for the late response, hope this helps! :D

Answer:

(3, 2 )

Step-by-step explanation:

Given the 2 equations

4x + y = 14 → (1)

5x + 2y = 19 → (2)

Multiplying (1) by - 2 and adding to (2) will eliminate the y- term

- 8x - 2y = - 28 → (3)

Add (2) and (3) term by term to eliminate y

- 3x + 0 = - 9

- 3x = - 9 ( divide both sides by - 3 )

x = 3

Substitute x = 3 into either of the 2 equations and solve for y

Substituting into (1)

4(3) + y = 14

12 + y = 14 ( subtract 12 from both sides )

y = 2

solution is (3, 2 )

Step-by-step explanation:

\( \underline{ \underline{ \text{USING \: ELIMINATION \: METHOD}}}\)

\( \underline{ \underline{ \text{ Solution}}} : \)

Multiply equation ( i ) by 2 & Subtract from ( ii ). The equation ( i ) now becomes 8x +2y = 28 { 2 ( 4x + y ) = 2 × 14 }. Remember that while subtracting the sign of each term of equation ( i ) changes and now , it becomes -8x-2y = -28.

\( \text{5x + 2y = 19}\)

\( \text{ - 8x - 2y = - 28}\)

_____________________

\( \text{ - 3x = - 9}\)

Solve for x :

⤑ \( \tt{x = \frac{ - 9}{ - 3}} \)

⤑ \( \tt{x = 3}\)

Now , substitute the value of x in equation ( ii ) :

⟼ \( \text{5 × \: 3 + 2y = 19}\)

⟼ \( \text{15 + 2y = 19} \)

⟼ \( \text{2y = 19 - 15}\)

⟼ \( \text{2y = 4}\)

⟼ \( \text{y = 2}\)

\( \pink{ \boxed{ \boxed{ \tt{⤿ \: Our \: final \: answer : \boxed{ \boxed{ \tt{x = 3 \: and \: y = 4}}}}}}}\)

Hope I helped ! ツ

Have a wonderful day night ! ♡

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Answer:13.8 is the best answer i could get

Step-by-step explanation:1,077 multiply that × 13.8 =14,862

Answer:

Step-by-step explanation:

Since the sequence is an arithmetic sequence

For an nth term in an arithmetic sequence

A(n) = a + ( n - 1)d

where a is the first term

n is the number of terms

d is the common difference

From the question

d = 6

a = 2

n = 12

So the 12th term of the sequence is

A(12) = 2 + (12-1)6

= 2 + 11(6)

= 2 + 66

Hope this helps you

Answer:

48

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Answer:

The answer would be 6

Step-by-step explanation:

(a) Function 1 graph is the least steep.

(b) The functions that have graphs with slopes less than -3 are Function 2 and Function 4.

(c) Function 2 has the greatest y-intercept

Function 1

For function 1, we can find the slope (m) and y-intercept (b) using the graph:

slope = (y2-y1)/(x2-x1)

Using the two points on the graph: x1 = 0, y1 = 2; x2 = 1, y2 = 3

slope = (3-2)/(1-0) = 1

The y-intercept (b) is the value of y when x = 0. From the graph when x = 0, y = 2.

Thus, y-intercept (b) = 2

Function 2

For function 2, we can find the slope (m) and y-intercept (b) using the table:

slope = (y2-y1)/(x2-x1)

Picking any two points on the table: x1 = 0, y1 = 5; x2 = 1, y2 = 3

slope = (3-5)/(1-0) = -2

y-intercept (b) = 5

Function 3

For function 3, y = 4x - 1.

The general form of the equation of a line is y = mx + b,

where  m is the slope and b is the y-intercept

Thus, slope = 4 and  y-intercept = -1

Function 4

slope = -5 and  y-intercept = -1

(a) Since slope is a measure of steepness. Thus, the function with the lowest slope will be the least steep.

Thus, the graph of Function 1 is the least steep.

Note: The sign is not considered i.e. 1 is less than -3.

(b)Function 2 and Function 4 have graphs with slopes less than -3.

Note:  In the context of slopes, a slope of -3 is steeper than a slope of -2.

(c) Function 2 has the greatest y-intercept

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To solve the initial value problem y'' - 2y' - 3y = 0, with y(0) = 1 and y'(0) = 2, we can use the method of Laplace transforms.

First, we take the Laplace transform of the given differential equation to obtain an algebraic equation in terms of the Laplace transform of the unknown function y(t). Then, we solve the algebraic equation for the Laplace transform of y(t) using standard algebraic techniques. Finally, we take the inverse Laplace transform to obtain the solution y(t) in the time domain.

Applying the Laplace transform to the given differential equation, we have s²Y(s) - sy(0) - y'(0) - 2(sY(s) - y(0)) - 3Y(s) = 0, where Y(s) represents the Laplace transform of y(t). Simplifying this equation, we get (s² - 2s - 3)Y(s) - (s - 2) = s²Y(s) - 3s - 4. Rearranging the equation, we have Y(s) = (s - 2) / (s² - 2s - 3).

To solve this equation for Y(s), we can decompose the expression into partial fractions, which yields Y(s) = 1 / (s - 3) - 1 / (s + 1). Taking the inverse Laplace transform of Y(s), we obtain y(t) = e^(3t) - e^(-t), which is the solution to the initial value problem.

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The expected value in a binomial situation with n = 18 and π = 0.60 is E(X) = np = 18 * 0.60 = 10.8.

In a binomial situation, the expected value, denoted as E(X), represents the average or mean outcome of a random variable X. It is calculated by multiplying the number of trials, denoted as n, by the probability of success for each trial, denoted as π.

In this case, we are given n = 18 and π = 0.60. To find the expected value, we multiply the number of trials, 18, by the probability of success, 0.60.

n = 18 (number of trials)

π = 0.60 (probability of success for each trial)

To find the expected value:

E(X) = np

Substitute the given values:

E(X) = 18 * 0.60

Calculate the expected value:

E(X) = 10.8

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Answer:

Step-by-step explanation:

First find the number of students who stayed home.

# students who stayed home = Total number - the choir members.

Total number = 126

Choir members = 94

Stay at homes = 126 - 94 = 32

Formula

Stay at home % = (32 / 126) * 100

Stay at home %= 0.25397 * 100

Stay at home % = 25.397

To the nearest whole %, the answer is 25

Answer:

126/94 = 1.34

1% of the students stayed at school

Step-by-step explanation:

Answer:

15%

Step-by-step explanation:

Answer:

9%

Step-by-step explanation:

30+15+40+20+35+25

=165

blue M&M=15

15/165=x/100

x=9

To maximise the area it should be build as a square having side=250 feet each and having area=62500 feet.

what are squares?

A square is a two-dimensional plane figure with four equal sides and all four angles are equal to 90 degrees. The properties of the rectangle are somewhat similar to a square, but the difference between the two is, a rectangle has only its opposite sides equal. Therefore, a rectangle is called a square only if all its four sides are of equal length.

The most important properties of a square are listed below:

Area of square=(side)²

Perimeter of square=4*side

Now,

Given

total fencing available=1000feet

perimeter=1000

4*s=1000

s=250 feet

Therefore,

Area=250^2

=62500 feet^2

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The inverse function for the given function is y=(5x-3)/2.

Inverse function is represented by f⁻¹ with regards to the original function  and the domain of the original function becomes the range of inverse function and the range of the given function becomes the domain of the inverse function. The graph of the inverse function is obtained by swapping (x, y) with (y, x) with reference to the line y = x.

Given that, f(x)=(2x+3)/5

Here, the given function can be written as y=(2x+3)/5.

Replace y with x and x with y, we get

x=(2y+3)/5

5x=2y+3

5x-3=2y

y=(5x-3)/2

Therefore, the inverse function is y=(5x-3)/2.

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Answer:

D. O

Step-by-step explanation:

O is the circumcenter of the Triangle and <C is the only 90 degree angle in the triangle

So basically O is the middle (the center) of the triangle.

Hope this helps fr.

If the rule (x, y)→(x, −y) is done, the endpoints would be at (2, -3), (7, -4) and (6, -8)

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, rotation and dilation.

Rigid transformation is the transformation that does not change the shape or size of a figure. Examples of rigid transformations are translation, reflection and rotation.

The endpoints of the triangle are at (2, 3), (7, 4) and (6, 8). If the rule (x, y)→(x, −y) is done, the endpoints would be at (2, -3), (7, -4) and (6, -8)

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The position vector r (with components x1, x2, x3) and any vector v can be expressed as r = x1*i + x2*j + x3*k and v = a*i + b*j + c*k, respectively.

The dot product of two vectors is defined as the sum of the products of their corresponding components. Therefore, the dot product of r and v can be calculated as:

r · v = (x1*i + x2*j + x3*k) · (a*i + b*j + c*k)

     = (x1*a) + (x2*b) + (x3*c)

Here, we multiplied the corresponding components and summed them up. The dot product represents the scalar projection of one vector onto the other, which indicates the magnitude of one vector in the direction of the other.

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Answer:

variable

Step-by-step explanation:

A variable is a American, Latin, Greek etc letter used to represent an unknown.

Answer:

Step-by-step explanation:

(8-10)/2 = -2/2 = -1

(10-10)/2= 0/2 = 0

(-1, 0)

Answer:

n = - 5

Step-by-step explanation:

- 2(8n - 3) = 43(n + 7) ← distribute parenthesis on both sides

- 16n + 6 = 43n + 301 ( subtract 43n from both sides )

- 59n + 6 = 301 ( subtract 6 from both sides )

- 59n = 295 ( divide both sides by - 59 )

n = - 5

Answer:

n=7.14

Step-by-step explanation:

-2(8n-3)=43(n+7)

distribute

-16n+6=43n+301

add 16n on both sides

6=43n-301

add 301 on both sides

307=43n

divide both sides by 43

n=7.1395