help?

2+r/6>-1

and also
-5-y/6 ≤1

The proof that the trigonometry equation \(\frac{\cos(x)}{\(sec(x)\sin(x)} = \csc(x) - \sin(x)\) is an identity is shown below

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

\(\frac{\cos(x)}{\(sec(x)\sin(x)} = \csc(x) - \sin(x)\)

To prove the trigonometry equation is an identity, we start by simplifying the left-hand side of the equation using trigonometric identities

So, we have

\(\frac{\cos(x)}{\sec(x)\sin(x)} = \csc(x) - \sin(x)\)

sec(x) = 1/cos(x)

So, we have

\(\frac{\cos(x)}{\frac{1}{\cos(x)} * \sin(x)} = \csc(x) - \sin(x)\)

When the product is evaluated, the equation becomes

\(\frac{\cos^2(x)}{\sin(x)} = \csc(x) - \sin(x)\)

cos²(x) = 1 - sin²(x).

So, we have

\(\frac{1 - \sin\²(x)}{\sin(x)} = \csc(x) - \sin(x)\)

Expand the fraction

\(\frac{1}{\sin(x)} - \frac{\sin\²(x)}{\sin(x)} = \csc(x) - \sin(x)\)

Simplify the fraction

csc(x) - sin(x) = csc(x) - sin(x)

Because both sides of the equation are the same

It means that we have proven that \(\frac{\cos(x)}{\(sec(x)\sin(x)} = \csc(x) - \sin(x)\)

The graph that proves the identity is also added as an attachment

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Answer:

Your answer is B or 54.

Step-by-step explanation:

Answer:

the answer is 54

Step-by-step explanation:

if you have a ratio of 1:2 you divide 324 by three

108     and      216

if you take 108 and divide it again into two more piles you get 54  

The linear equation that describes the total wait time(y) based on the number of family groups in the line(x) is given by:

\(y = 3.5x\)

A linear equation is modeled by:

\(y = ax + b\)

In which:

In this problem:

Hence, the equation is:

\(y = 3.5x\)

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Answers:

Experimental probability =  5/12

Theoretical probability = 5/36

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

Explanation:

The experimental probability, aka empirical probability, is what we observe to happen. The event of rolling a six happens 5 times out of 12 total rolls. That leads directly to the experimental probability of 5/12

----------------------------

The theoretical probability is based on predetermined odds, and can be done on paper rather than actually rolling the dice.

There are 6*6 = 36 ways to roll two dice. Of those 36 ways, we have these cases that add to 6

There are five ways to add to 6, out of 36 outcomes total.

This means the theoretical probability of getting a sum of 6 is 5/36

9514 1404 393

Answer:

  x = 64

Step-by-step explanation:

I find it easier to solve the equation, which requires 1 operation. Substituting 3 numbers requires 3 operations, so is 3 times the work. (I'm basically lazy.)

  4x = 256 . . . . given

  x = 256/4 = 64 . . . . the last of the listed values

__

Alternatively, you can let a graphing calculator or spreadsheet try the list of values for you. That result is attached.

_____

Since you know the rules of signed multiplication, you know that x must be positive. Only one answer choice is positive, so you really only need to try one number.

  4(64) = 256 . . . . true, so x = 64

Answer

C41 = 2

This very simple to do.

First locate the entry in A41 in matrix A. That is the entry in the intersection of the fourth row and first column of matrix A. This entry is 7.

Then multiply by the scalar which is 2 to get,

Next we locate the entry in B41 in matrix B also. Which is 4. We multiply by the scalar of -3 to get,

-3 x 4= -12

We now add these two corresponding entries to obtain,

14+-12= 2

Answer: y = 3x+1

Step-by-step explanation: If (4,1) is a solution of y = 3x+1, that means if we plugin the respective values of (4,1), we should have an EQUALITY:

1 = 3(4) + 1

1 = 13 , which is wrong, then the point (4,1) is NOT a solution of y = 3x+1.

Answer:

Step-by-step explanation:

To estimate the required sample size for estimating the true proportion of Americans who support gun control in 2018 with a 95% confidence level and a margin of error of 0.36, we need to use the formula:

n = (Z^2 * p * (1 - p)) / E^2

Where:

n = required sample size

Z = Z-score corresponding to the desired confidence level (for 95% confidence level, Z ≈ 1.96)

p = estimated proportion (since we have no prior information, we can use p = 0.5, which gives the maximum sample size required)

E = margin of error

Substituting the values into the formula:

n = (1.96^2 * 0.5 * (1 - 0.5)) / 0.36^2

n = (3.8416 * 0.25) / 0.1296

n ≈ 9.6042 / 0.1296

n ≈ 74.0842

Rounding up to the nearest whole number, the required sample size is approximately 75. Therefore, you would need to survey at least 75 randomly selected Americans to estimate the true proportion of Americans who support gun control in 2018 with a 95% confidence level and a margin of error of 0.36.

Answer:

None really look like a solution. I mean, that's what I think, honestly.

The converted number is 4248, which matches the result obtained using division-remainder method or subtraction.

To convert 310410 to base 9, we can use division-remainder method.

Step 1: Divide 3104 by 9. The quotient is 344 and the remainder is 8. Write down the remainder (8) as the rightmost digit of the converted number.

Step 2: Divide 344 by 9. The quotient is 38 and the remainder is 2. Write down the remainder (2) to the left of the previous remainder.

Step 3: Divide 38 by 9. The quotient is 4 and the remainder is 2. Write down the remainder (2) to the left of the previous remainder.

Step 4: Divide 4 by 9. The quotient is 0 and the remainder is 4. Write down the remainder (4) to the left of the previous remainder.

Therefore, the converted number is 4248.

Alternatively, we could also use subtraction method as follows:

Step 1: Find the largest power of 9 that is less than or equal to 3104. This is 9^3 = 729.

Step 2: Divide 3104 by 729. The quotient is 4 and the remainder is 368. Write down the quotient (4) as the leftmost digit of the converted number.

Step 3: Find the largest power of 9 that is less than or equal to 368. This is 9^2 = 81.

Step 4: Divide 368 by 81. The quotient is 4 and the remainder is 64. Write down the quotient (4) to the right of the previous digit.

Step 5: Find the largest power of 9 that is less than or equal to 64. This is 9^1 = 9.

Step 6: Divide 64 by 9. The quotient is 7 and the remainder is 1. Write down the quotient (7) to the right of the previous digit.

Step 7: The remainder is 1, which is the final digit of the converted number.

Therefore, the converted number is 4248, which matches the result obtained using division-remainder method.

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Answer:

Step-by-step explanation:

1 micron = 1 *  \(10^{-3} \ milli meter = \frac{1}{1000} \ millemeter\)

1 micron  = 0.00003937 inches

Answer:

hello good morning ✌☺

I hope you are fine ❗

its may help you !!!!¡¡¡¡¡¡¿¿¿¿¿¿♤♤♤

llxXKHaNZaDaXxll 《《~_^)⌐╦╦═─

Answer: 0.14

Step-by-step explanation:

1) Find the total #of seniors. To do this add up 25+5+5 = 35.

2)Since we know the number of seniors that work just do 5/35. This simplifies to 0.14 rounded to the nearest hundreth.

Answer:

P  2.680          S  2.920     T    4.200

Step-by-step explanation:

 S = seconde    

 Premiere =  S-240

Troisieme = 3/4( 2S -240)

S + S-240 + 3/4(2S-240) = 9800

Multiplie  tout par 4 pour eliminer la fraction

4S + 4S -960 + 6S - 720  =  39200

14 S = 40.880

S = 2.920

P = 2.920-240 = 2.680

T =3/4(5.600) = 4.200

2.920  + 2.680 + 4.200  = 9.800

The answer is attached. I hope this helps answer your question!

Answer:

10

Step-by-step explanation:

data=11,7,21,14,9,x

mean=sum of data/no of data

12=11+7+21+14+9+x/6

12*6=62+x

72-62=x

10=x

therefore sixth number is 10.

On the map, 8 inches correspond to 840 real-world miles.

A map's scale is defined as the ratiο οf a distance οn the map tο the cοrrespοnding distance οn the grοund. The curvature οf the Earth's surface, which fοrces scale tο vary acrοss a map, illustrates this straightfοrward cοncept. Because οf this variatiοn, the cοncept οf scale acquires twο distinct meanings.

We can set up a calculatiοn tο determine hοw many miles are represented by 8 inches οn the map if 2 inches οn the map cοrrespοnd tο 210 miles in reality.

2 inches : 210 miIes = 8 inches : x miIes

Tο sοIve fοr x, we can crοss-muItipIy:

2 inches * x miIes = 8 inches * 210 miIes

2x = 1,680

x = 840

As a result, 840 miles are represented by 8 inches οn the map.

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Let's solve your system by substitution.

y=2x+1;y=4x−1

Step: Solve y=2x+1for y:

y=2x+1

Step: Substitute2x+1foryiny=4x−1:

y=4x−1

2x+1=4x−1

2x+1+−4x=4x−1+−4x(Add -4x to both sides)

−2x+1=−1

−2x+1+−1=−1+−1(Add -1 to both sides)

−2x=−2

−2x

−2

=

−2

−2

(Divide both sides by -2)

x=1

Step: Substitute1forxiny=2x+1:

y=2x+1

y=(2)(1)+1

y=3(Simplify both sides of the equation)

Answer:

x=1 and y=3

It cannot be determined. At least one other point on the line is needed to determine if x is proportional to y

Given data ,

A point on a straight line has an x-coordinate of 3 and a y-coordinate of 6

Now , A single point on a straight line does not define the connection between x and y. We must evaluate the connection between x and y for several places on the line in order to establish if x is proportional to y.

As a result, the relationship between x and y cannot be inferred only from the supplied location (3, 6). To establish the proportionality between x and y, at least one more point on the line is required

Hence , the equation of line is solved

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Answer:

A Rectangle

Step-by-step explanation:

a wrecked angle

A crushed angle is commonly referred to as a "rectangle" or a "wrecked angle".

When an angle is crushed or collapsed, its sides are no longer straight or evenly spaced, and its vertex may be shifted or deformed.

This deformation can occur in various contexts, such as in physical objects or in mathematical diagrams. The angle's original shape has been significantly changed due to external influences.

Thus, a crushed angle is commonly referred to as a "rectangle" or a "wrecked angle".

This is a play on words, as a rectangle is a shape with four right angles, and when an angle is crushed or wrecked, it can resemble a rectangle.

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Answer:

20, 250

Step-by-step explanation:

3:3:2

u will first need to find the addition of all the ratio and divide each ratio by the sum

3+3+2=8

the u will; 3/8×54000=20,250

3/8×54000=20,250

2/8×54000=13500

To look from the guest to their left to the guest to their right at a round table seating 6 people, you need to rotate by 60 degrees.

For a regular polygon with n sides, the sum of its interior angles is given by ((n - 2) × 180) degrees. In the case of a round table seating 6 people, the table can be considered as a hexagon, which has 6 sides. Using the formula, we can calculate the sum of the interior angles:

((6 - 2) × 180) / 6 = (4 × 180) / 6 = 720 / 6 = 120 degrees

Since the table forms a complete circle, the sum of the interior angles is divided equally among the guests. Therefore, each guest sits at an angle of 120 degrees. To look from the guest to their left to the guest to their right, you need to rotate by the angle between adjacent guests, which is half of the angle they sit at:

120 / 2 = 60 degrees

Thus, to look from the guest to their left to the guest to their right at a round table seating 6 people, you need to rotate by 60 degrees.

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The accounting equation is a fundamental principle in accounting that states that assets equal liabilities plus equity. Using this equation, missing amounts can be determined in various situations.

The accounting equation is expressed as Assets = Liabilities + Equity. It serves as the foundation for double-entry bookkeeping and ensures that the financial statements are balanced. By rearranging the equation, missing amounts can be determined.

For example, if the assets and equity are given, the missing amount of liabilities can be calculated by subtracting equity from assets. Conversely, if the liabilities and equity are known, the missing amount of assets can be calculated by adding liabilities to equity.

Similarly, if the assets and liabilities are provided, the missing amount of equity can be calculated by subtracting liabilities from assets. Alternatively, if the assets and equity are known, the missing amount of liabilities can be calculated by subtracting equity from assets.

In each situation, the missing amount can be determined by applying the accounting equation and rearranging it to solve for the missing variable. This equation provides a framework for ensuring that all financial transactions are properly recorded and that the financial statements accurately reflect the financial position of a business.

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a) The weight of 70 vitamins is 437.5 grams.

b) The total weight of the bottle with 70 vitamins is 12187.5 grams.

a) To find the weight of 70 vitamins, we simply multiply the weight of one vitamin tablet by the total number of tablets. Given that each vitamin tablet weighs 7/8 of a gram, we have:

Weight of 70 vitamins = 70 x (7/8) = 437.5 grams.

Therefore, the weight of 70 vitamins is 437.5 grams.

b) To find the total weight of the bottle with 70 vitamins, we need to add the weight of the vitamins to the weight of the empty bottle. The weight of the empty bottle is given as 12077/9 grams.

Total weight of the bottle with 70 vitamins = weight of vitamins + weight of empty bottle

= 437.5 + 12077/9

= (4375/8) + (12077/9)

= (4921875/900) + (1089244/900)

= (6011119/900)

= 12187.5 grams.

Therefore, the total weight of the bottle with 70 vitamins is 12187.5 grams.

It is important to accurately measure and record the weights of objects and substances in various settings, such as in the manufacturing of medications and supplements, in order to ensure product quality and consistency.

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The predicted length for a catfish with weight of 48 pounds is given as follows:

45 inches.

The slope-intercept representation of a linear function is given by the equation presented as follows:

y = mx + b

The coefficients of the function and their meaning are described as follows:

Two points on the graph of the linear function are given as follows:

(20, 3) and (30, 21).

When x increases by 10, y increases by 18, hence the slope m is given as follows:

m = 18/10

m = 1.8.

Hence:

y = 1.8x + b.

When x = 20, y = 3, hence the intercept b is given as follows:

3 = 1.8(20) + b

b = 3 - 36

b = -33.

Hence the equation is:

y = 1.8x - 33.

The predicted length for a catfish with weight of 48 pounds is obtained as x when y = 48, hence:

48 = 1.8x - 33

x = 81/1.8

x = 45 inches.

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Answer:

14

Step-by-step explanation:

126*14 = 1764

square root of 1764 = 42

1.

find the factors of 126

126=9*7*2

9 is already a square number. Multiplying by 7*2 will give the answer

OR

2.

Prime factorize or find the prime factors of 126

a.

first one is 2

square it

you get 4

b.

next one is 3

square it

you get 9

c.

so far you got 36

d.

next one is 7

square it

you get 49

Prime factorize 126 to get, 126 = 2*3*3*7

To make this a perfect square (say N), we need N = (2^2)*(7^2)*(3^2)

Therefore the smallest positive integer that we need to multiply 126 with is 2*7 = 14

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Answer:

1/π²

Step-by-step explanation:

On multiplying π² by its inverse value, you get the answer to be 1, which has no decimal points.

Answer:

π² × 1/π² = 1

Step-by-step explanation:

Given equation,

→ π² × ___ = ?

Let's keep the missing term as y, and product as 1 (a number with no decimal).

→ π² × y = 1

Then the answer will be,

→ π² × y = 1

→ [ y = 1/π² ]

Verification of the value of y,

→ π² × y = 1

→ π² × (1/π²) = 1

→ [ 1 = 1 ]

→ LHS = RHS

Hence, 1/π² is the missing term that ends up with a number with no decimal.

To determine which workstation the person is facing in the south-easterly direction, we would need additional information or a specific reference point.

The orientation of workstations within a workspace can vary, and without a specific layout or reference point, it is difficult to identify the exact workstation facing the south-easterly direction.

If you have a diagram or layout of the workspace, please provide more details or reference points, such as the orientation of other workstations or any landmarks within the workspace. With that additional information, I can assist you in identifying the workstation facing the south-easterly direction.

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At which WS work station is the person facing south easterly direction?

The Bus can hold 59 students and van can hold 18 students.

The freshman class rented and filled 1 van and 6 buses with 372 students. This can be illustrated as:

v + 6b = 372 .... i

The sophomore class rented and filled 4 vans and 12 buses with 780 students. This can be illustrated as:

4v + 12b = 780 ... ii

where v = van.

b = bus

v + 6b = 372

4v + 12b = 780

Reduce equation ii by 2. The new equations will be:

v + 6b = 372

2v + 6b = 390

Subtract

v = 18

The van can hold 18 students

Since v + 6b = 372

This will be:

18 + 6b = 372

6b = 354

b = 59.

Bus can hold 59 students.

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