are the ratios 1:3 and 4:12 equivalent

Answer:

I think that the answer is B

Answer: 3.46

Step-by-step explanation:

Answer:

yes cs its a orange juice

Step-by-step explanation:

Answer:

taking back the answer spot that is rightfully mine!

Step-by-step explanation:

Social scientists gather data from samples instead of populations because c. populations are often too large to test.

Social scientists often cannot test an entire population due to its size, so they gather data from a smaller group or sample that is representative of the larger population. This allows them to make inferences about the larger population based on the data collected from the sample. The sample size must be large enough to accurately represent the population, but it is not necessarily larger or more complete than the population itself. Trustworthiness, meaning, and interest are subjective and do not necessarily determine why social scientists choose to gather data from samples.

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Step-by-step explanation:

this is one of the formulas you should remember for life :

the general solution for a quadratic equation

ax² + bx + c = 0

is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case that is

x = (-4 ± sqrt(4² - 4×1×-1))/(2×1) = (-4 ± sqrt(16 + 4))/2 =

= (-4 ± sqrt(20))/2 = (-4 ± sqrt(4×5))/2 =

= (-4 ± 2×sqrt(5))/2 = -2 ± sqrt(5)

x1 = -2 + sqrt(5) = 0.236067977...

x2 = -2 - sqrt(5) = -4.236067977...

so, the negative solution is the x2 solution :

-4.236067977...

I don't know to how many decimal positions you are supposed to round. it is not specified in your problem definition.

If there are n men and n women in the group, we can first arrange the men and women separately in alternate positions. We can treat the men as a single group and arrange them in n! ways, and similarly, we can treat the women as a single group and arrange them in n! ways.

Next, we need to arrange the two groups (men and women) in alternate positions to satisfy the given condition. Since we need to place the youngest person (who could be a man or a woman) at the beginning of the row, we have two cases:

Case 1: The youngest person is a man

In this case, the men must start the arrangement, followed by the women. Since there are n men and n women, there are n! ways to arrange the men and n! ways to arrange the women. We can fix the youngest man at the beginning of the row, so there are (n-1)! ways to arrange the remaining n-1 men. Similarly, there are (n-1)! ways to arrange the n-1 women. Therefore, the total number of arrangements in this case is:

n! * n! * (n-1)! * (n-1)!

Case 2: The youngest person is a woman

In this case, the women must start the arrangement, followed by the men. Since there are n women and n men, there are n! ways to arrange the women and n! ways to arrange the men. We can fix the youngest woman at the beginning of the row, so there are (n-1)! ways to arrange the remaining n-1 women. Similarly, there are (n-1)! ways to arrange the n-1 men. Therefore, the total number of arrangements in this case is:

n! * n! * (n-1)! * (n-1)!

To get the total number of arrangements that satisfy the given condition, we need to add the number of arrangements in Case 1 and Case 2:

n! * n! * (n-1)! * (n-1)! + n! * n! * (n-1)! * (n-1)!

= 2 * n! * n! * (n-1)! * (n-1)!

= 2 * (n!)^2 * (n-1)!

Therefore, the total number of ways to arrange the people in a row with alternating men and women, starting with the youngest person, is 2 * (n!)^2 * (n-1)!.

Hello!

45% of x = 7.2

45x/100 = 7.2

45x = 7.2 * 100

45x = 720

x = 720/45

x = 16

the number = 16

Answer:

1/-2

Step-by-step explanation:

To find the slope:

rise/run

From point to point

So....

From (-1,0)

you go up 2(2)

then left 4(-4)

to get to (-5,2)

so 2/-4 reduced is 1/-2

Answer:

\(\huge\boxed{\sf x = 83\°}\)

Step-by-step explanation:

So,

x + 53 + 44 = 180

x + 97 = 180

x = 180 - 97

\(\rule[225]{225}{2}\)

Answer:

x = 83

Step-by-step explanation:

You can apply the theory of euclidean triangle: all three measurements of a triangle sum up and equal to 180°.

Therefore, we sum three angles and set to 180°

\(\displaystyle{x^{\circ} + 44^{\circ} + 53^{\circ} = 180^{\circ}}\\\\\displaystyle{x^{\circ} + 97^{\circ} = 180^{\circ}}\)

Solve for x; subtract both sides by 97°:

\(\displaystyle{x^{\circ} + 97^{\circ}-97^{\circ}= 180^{\circ}-97^{\circ}}\\\\\displaystyle{x^{\circ} = 83^{\circ}}\)

Therefore, x = 83

After solving the equation the linear equation is x = 27/5 , y = 7/5.

What do you mean by linear equation?

Equations with the highest degree of 1 are called linear equations. This means that the exponent of the variable in the linear equation is greater than 1. The graph of a linear equation is always a straight line.

A linear equation is an algebraic equation in which each term has exponent 1, and the graph of this equation is always a straight line. For this reason, it is called a "linear equation".

Given system of equation:

7x - 7y = 28 ..........(1)

2x - 7y = 1 .............(2)

Solve this system of linear equation. Find the value of 7y from equation (1) and substitute in equation(2)

7x - 7y = 28

7x - 28 =7y .............(3)

Substitute this value in equation (2)

2x - (7x - 28) = 1

2x - 7x + 28 = 1

-5x + 28 = 1

5x = 28 - 1

5x = 27

x = 27/5

Substitute this value in equation (3)

7y = 7(27/5) - 28

7y = 189/5 - 28

7y = 49/5

y = 7/5

Therefore, x = 27/5 , y = 7/5

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Answer:

75.609

Step-by-step explanation:

75 would be before the decimal, since it's a whole number.

609/1000 would be 0.609

609/1000 =  .609

75 + 0.609 =  75.609

So, '75 609/1000 as a decimal' would be 75.609.

Answer:

75 .609

Step-by-step explanation:

75 is the whole number

609/1000 as a decimal is .609

75 .609

Answer:

D. d^2 - πd^2/4.

Step-by-step explanation:

The sides of the square are equal to the diameter of the circles so the area of the square = d^2.

The shaded area = area of the square -  4 * the area of a quarter circle

= area of the square - area of 1 circle

= d^2 - π r^2

r = d/2 so

Area of the shaded part = d^2 -  π (d/2)^2

= d^2 -  π (d^2/4)

Answer:

The gear ratio is 36 to 12 however it can be simplified to a 6-2 gear ratio.

Answer:

answer was 3

Step-by-step explanation:

just did the test

Answer: 44 feet.

Step-by-step explanation: If the object is moving at a speed of 6 miles per month, that's 6 miles for every 720 hours at the very least. That's 1 mile for every 120 hours. That's 5280 feet for every 120 hours. The object is moving 44 feet every hour.

The speed of the object is 43.39 feet per hour.

It is the conversion of one unit to another unit with its standard conversion.

Example:

1 minute = 60 seconds

1 km = 1000 m

We have,

6 miles = 1 month

1 miles = 5280 feet

1 month = 730 hours

Now,

6 miles = 6 x 5280 feet

6 miles = 31680 feet

So,

31680 feet = 730 hours

Divide both sides by 730.

31680/730 feet = 1 hour

43.39 feet = 1 hour

Thus,

Speed is 43.39 feet per hour.

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The probability of the event "~ (a ∩ d)", or the probability that either "a" OR "d" does not occur, is 3/5.

The symbol "∩" represents the intersection of two events.

For example, "a ∩ d" means the event where both "a" and "d" occur together.

The symbol "~" means "not" or "complement." So, "~ (a ∩ d)" means the event where "a ∩ d" does NOT occur, or in other words, where "a" OR "d" does not occur.

Now, onto the question.

We are given that p(a ∩ d) = 2/5, which means that the probability of both events "a" and "d" occurring together is 2/5.

We want to find the probability of the event "~ (a ∩ d)", or the probability that either "a" OR "d" does not occur.

To find this probability, we need to use some basic probability rules.

One of these rules is that the probability of an event happening (let's call it "E") is equal to 1 minus the probability of the complement of that event not happening (~E).

In other words, p(E) = 1 - p(~E).

So, if we apply this rule to the event "~ (a ∩ d)", we get:
p(~ (a ∩ d)) = 1 - p(a ∩ d)

Now we can substitute in the value we were given for p(a ∩ d):
p(~ (a ∩ d)) = 1 - 2/5

Simplifying this gives:
p(~ (a ∩ d)) = 3/5

Therefore, the probability of the event "~ (a ∩ d)", or the probability that either "a" OR "d" does not occur, is 3/5.

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Answer:

YES

Step-by-step explanation:

NATRURAL NUMBERS ARE 1 AND UP NON DECIMAL

Answer:

Always

Step-by-step explanation:

The equilateral triangles have all the angles and all the sides congruent. That is the definition of a regular polygon

Answer:

Equilateral Triangles are always regular polygons.

Step-by-step explanation:

This is because all of the interior angles are the same(60 degrees). Regular polygons have the same interior angles. For instance, a pentagons interior angle is 108 degrees.

Answer: unit of account

Step-by-step explanation:

I learned this in Macro Chapter 34.

Answer:

0.07$

Step-by-step explanation:

so

3 divided by 45

$0.07

The initial temperature of the inside room is 65.56° F. we can use Newton's Law of Cooling to solve problems

To solve the problem, we can use the formula for Newton's Law of Cooling:  T(t) = T(∞) + (T(0) - T(∞))e^(-kt)

where T(t) is the temperature at time t, T(0) is the initial temperature, T(∞) is the outside temperature, and k is a constant.

We can set up two equations using the given information:

75 = 25 + (T(0) - 25)e^(-k)

50 = 25 + (T(0) - 25)e^(-5k)

We can solve for k by dividing the second equation by the first equation:

50 / 75 = e^(-5k) / e^(-k)

2 / 3 = e^4k

Taking the natural logarithm of both sides, we get:

ln(2/3) = 4k

k = -ln(2/3) / 4

Then, we can substitute k into one of the equations to solve for T(0):

75 = 25 + (T(0) - 25)e^(-k)

T(0) = 65.56° F (rounded to two decimal places).

In summary, we can use Newton's Law of Cooling to solve problems involving temperature changes. We can set up equations using the given information and then solve for the constants using algebraic methods.

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Answer: The equation \(x-7/8=-3/2\) has a different value of x than the others. The value of x here is -0.625, while in all the other equations, the value of x is 0.625.

Step-by-step explanation: Simplifying the equation \(x+9/8=7/4\), we get:

\(x=7/4-9/8\)

\(x=0.625\)

Simplifying the equation \(x-7/8=-3/2\),  we get:

\(x=-3/2+7/8\)

\(x=-0.625\)

Simplifying the equation \(x+0.875=1.5\), we get:

\(x=1.5-0.875\)

\(x=0.625\)

Simplifying the equation \(x-0.025=0.6\), we get:

\(x=0.6+0.025\)

\(x=0.625\)

Therefore, \(x+9/8=7/4\) has a different value of x than the others.

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Answer:

j = 125

Step-by-step explanation:

All you do is take 625 divided by 5 to get 125. Replace j for 125 to get 625 so j is equal to 125.

Amber should graph the equations X = -31 and X = 19 and shade the region between them to represent the solution to the inequality.  

Supporting Question and Answer:

How can we graphically represent the solution to the inequality |X+6| - 12 < 13?

To graphically represent the solution, we need to determine the values of X that satisfy the inequality. By breaking down the absolute value function into two cases and solving for X in each case, we can plot the corresponding equations on a graph and shade the region that satisfies the original inequality.

To solve the inequality |X+6| - 12 < 13, we can break it down into two cases based on the positive and negative values of |X+6|:

Case 1: When X + 6 ≥ 0 (or X ≥ -6):

In this case, the absolute value function |X+6| is equal to X+6. Therefore, we can rewrite the inequality as: (X+6) - 12 < 13 Simplifying this inequality, we get:

X - 6 < 13

Case 2: When X + 6 < 0 (or X < -6):

In this case, the absolute value function |X+6| is equal to -(X+6). Therefore, we can rewrite the inequality as: -(X+6) - 12 < 13 Simplifying this inequality, we get:

-X - 6 - 12 < 13

-X - 18 < 13

Now, we can graph these two equations to find the solution to the inequality:

Case 1:

X - 6 < 13 Graph the line:

X - 6 = 13,

or X = 19

Case 2: -

X - 18 < 13 Graph the line:

-X - 18 = 13,

or X = -31

To represent the solution on the graph, we shade the region to the left of -31 and to the right of 19 on the number line.

Therefore, Amber should graph the equations X = -31 and X = 19 and shade the region between them to represent the solution to the inequality.  

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In terms of trigonometric functions the exact value of sin(2θ) is -112. The exact value of cos(2θ) is -15. The exact value of sin θ/2 is ±2. The exact value of θ/2 is ±√(-3).

For the trigonometric functions' exact values, we can use the given value of tanθ and the knowledge that θ is in the third quadrant.

We know: tanθ = 8/7 and π < θ < 3π/2

First, we can determine the values of sinθ and cosθ using the tangent identity: tanθ = sinθ/cosθ. Since tanθ = 8/7, we can set up the equation: sinθ/cosθ = 8/7. Rearranging the equation, we have sinθ = 8 and cosθ = -7.

(a) To find sin(2θ), we can use the double-angle formula for sine: sin(2θ) = 2sinθcosθ. Plugging in the values, we get sin(2θ) = 2(8)(-7) = -112.

(b) To find cos(2θ), we can use the double-angle formula for cosine: cos(2θ) = cos²θ - sin²θ. Plugging in the values, we have cos(2θ) = (-7)² - (8)² = 49 - 64 = -15.

(c) To find sin(θ/2), we can use the half-angle formula for sine: sin(θ/2) = ±√((1 - cosθ)/2). Plugging in the values, we get sin(θ/2) = ±√((1 - (-7))/2) = ±√(8/2) = ±2.

(d) To find cos(θ/2), we can use the half-angle formula for cosine: cos(θ/2) = ±√((1 + cosθ)/2). Plugging in the values, we have cos(θ/2) = ±√((1 + (-7))/2) = ±√(-6/2) = ±√(-3).

In conclusion, using the given value of tanθ and the quadrant information, we were able to determine the exact values of sin(2θ), cos(2θ), sin(θ/2), and cos(θ/2). These trigonometric functions are important in various mathematical and scientific applications, allowing us to further analyze and solve problems involving angles and triangles.

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Answer:

7296

Step-by-step explanation:

.

Answer:

7296

Step-by-step explanation:

you multiply the two numbers and the out come is 7296

There are no local extreme points and the global minimum is -3, which is the same value that we obtained graphically.

The maximum value of the piecewise function g(t) = 1 + 2|t|+2 on the interval (-3,3) can be found using graphical and analytic methods. Graphically, we can plot the graph of the function, and observe that the maximum value is 5. Analytically, we can find the extreme values of the function by taking the derivative of the function and setting it equal to zero. The first derivative of g(t) is g'(t) = 2|t|, and setting this equal to zero gives us two values for t, which are -3 and 3. We then plug those values into the original function and find that the maximum value of g(t) is 5, which is the same value that we obtained graphically.

The minimum value of g(t) on the interval (-3,3) is also found using graphical and analytic methods. Graphically, we can again plot the graph of the function, and observe that the minimum value is -3. Analytically, we can find the extreme values of the function by taking the second derivative of the function and setting it equal to zero. The second derivative of g(t) is g''(t) = 2, and setting this equal to zero gives us no values for t. This implies that there are no local extreme points and the global minimum is -3, which is the same value that we obtained graphically.

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Answer:

Step-by-step explanation:

By using mid point formula ,

(X,Y) =( X1+X2/2) , Y1 +Y2/2

(-2+2/2) , (-4-10/2)

or, (0/2), (-7)

Answer:

2/3

Step-by-step explanation:

Simplify

\(26=6\cdot \left(5-a\right)\\26=6\cdot 5+6\cdot -a\\26=30+6\cdot -a\\26=30+\left(6\cdot -1\right)a\\26=30-6a\\30-6a=26\)

Group constants

\(30-6a=26\\30-6a-30=26-30\\-6a+30-30=26-30\\-6a=26-30\\-6a=-4\\\)

Isolate the term, a

\(-6a=-4\\\frac{-6a}{-6}=\frac{-4}{-6}\\\frac{6a}{6}=\frac{-4}{-6}\\a=\frac{-4}{-6}\\\\\frac{-a}{-b} = \frac{a}{b}\\\\a=\frac{4}{6}\\a=\frac{2\cdot 2}{3\cdot 2}\\a=\frac{2}{3}\)