Tony is designing an indoor play area. He knows the width will be 14 feet. He wants the length to be a multiple of 6 and thus records it as 6x. The area of the indoor play area must be greater than 588 square feet. Write an inequality that can be used to find the possible x-values for the desired area. Include all necessary work to support your answer

The angles of smallest possible positive measure coterminal with the given angle \( -173^{\circ} \) \( 187^{\circ} \) \( 367^{\circ} \) \( 173^{\circ} \) \( 7^{2} \) are 187° and 7°.

To find the angle of the smallest possible positive measure coterminal,  we add multiples of 360 to the angle until we get the smallest possible positive measure.

Here are the steps for each given angle:-

For -173°:We add 360 until we get a positive angle.

That is:$$-173^{\circ}+360^{\circ} = 187^{\circ}$$

Therefore, the angle of smallest possible positive measure coterminal with -173° is 187°.-

For 187°:Since 187° is already a positive angle, it is the angle of smallest possible positive measure coterminal with itself.

For 367°:We subtract 360 from 367° until we get an angle less than 360.

That is:$$367^{\circ}-360^{\circ} = 7^{\circ}$$

Therefore, the angle of smallest possible positive measure coterminal with 367° is 7°.-

For 173°:Since 173° is already a positive angle, it is the angle of smallest possible positive measure coterminal with itself.

For 72:Since 72 is not an angle measure in degrees, it cannot have an angle of smallest possible positive measure coterminal with it.

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The correct option is B. The complete collection of all elements, individuals, measurements, scores, or other entities that are of interest and relevant to a particular study or analysis is called the population.

A collection is a group of items that have been gathered or accumulated together based on a particular theme or purpose. Collections can be made up of physical objects such as books, stamps, coins, or artwork, as well as digital items like photos, music, or videos. Collections can also refer to data structures in computer programming that hold groups of related items.

People often collect items as a hobby or passion, and the act of collecting can bring a sense of fulfillment, enjoyment, and satisfaction. Collections can have both sentimental and monetary value, and they may be displayed in personal or public settings, such as museums or galleries. The process of collecting often involves researching and acquiring new items, as well as organizing and preserving the existing collection.

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Answer:

(3, -2)

Step-by-step explanation:

the formula for this is (x, y) ---> (-y, x)

The forecasted sales for July using a four-month moving average would be 44. This is based on the actual sales figures from March to June and assumes that the sales trend will continue.

To calculate the four-month moving average forecast for July, we need to add up the sales from the previous four months (March, April, May, June) and divide by 4.

March = 48

April = 46

May = Forecasted sales (average of March, April, May, and June)

June = Forecasted sales (average of April, May, June, and July)

So, the forecasted sales for May would be:

(48 + 46 + May + June) / 4 = 39.5

To estimate June's sales, we use the same approach and replace the forecasted sales for May with the actual sales figure for May (40):

(46 + 40 + June + July) / 4 = 44

Since we don't have the actual sales figure for July, we use the forecasted sales for June as our forecast for July, which is 44.

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Complete question:

What is the forecast for july using a four-month moving average?

Nov: 39

Dec: 36

Jan: 40

Feb: 42

Mar: 48

Apr: 46

An estimator is said to be unbiased if the expected value of the estimator is equal to the true value of the parameter being estimated.

Unbiased estimators are useful because they provide an estimate that, on average, is equal to the true value of the parameter, making them desirable for making accurate inferences about a population.

In statistics, an estimator is a statistic used to estimate the value of an unknown parameter in a population. An estimator is said to be unbiased if, on average, it produces an estimate that is equal to the true value of the parameter. An unbiased estimator is desirable because it provides an estimate that is, on average, accurate, which is important for making inferences about a population.

Biased estimators, on the other hand, tend to consistently overestimate or underestimate the true value of the parameter, which can lead to incorrect conclusions. Therefore, unbiased estimators are useful because they provide more accurate estimates, which can lead to more reliable inferences about a population.

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There are 28 ways to choose the players for the workshop,

A combination in mathematics is the act of choosing elements from a set that includes distinctive members so that the order of selection is not significant or unimportant.

It can be expressed by using the formula:

\(\mathbf{^nC_r = \dfrac{n!}{r!(n-r)!}}\)

From the given parameters:

∴

\(\mathbf{^8C_6 = \dfrac{8!}{6!(8-6)!}}\)

\(\mathbf{\implies \dfrac{8 \times 7 \times 6!}{6!(2)!}}\)

\(\mathbf{\implies \dfrac{8 \times 7}{2!}}\)

\(\mathbf{\implies \dfrac{8 \times 7}{2\times 1}}\)

= 28 ways

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Answer:

The answer above is correct! The answer is 28 :)

Step-by-step explanation:

Answer:

Write this:

y= -3x + 1

Step-by-step explanation:

Solve the equation:

6x -2y = 32

Subtract 6x from both sides

-2y = -6x +32

divide by negative to on both sides

y = -3x -16

ANSWER:

y = -3x (any number ,negative or positive, except 16)

The slope of the line will be 3.

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The equation of parallel line is,

⇒ 6x - 2y = 32

Now,

The slope of two parallel lines are always same.

So, We find the slope of the parallel line.

Since, The standard form of equation line is,

⇒ y = mx + c

Where, m is slope of the line.

So, We can change the equation of parallel line in the standard form.

The equation of parallel line is,

⇒ 6x - 2y = 32

Add 2y both side,

⇒ 6x - 2y + 2y = 32 + 2y

⇒ 6x = 32 + 2y

Subtract 32 both side,

⇒ 6x - 32 = 2y

⇒ 2y = 6x - 32

Divide by 2, we get;

⇒ y = 3x - 16

Compare with y = mx + c, we get;

The slope of the line (m) = 3

Thus, The slope of the line will be 3.

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The tail length of an alligator whose body length is 4.2 feet will be 3 feet.

Direct proportion or direct variation is the relation between two quantities where the ratio of the two is equal to a constant value. Mathematically, direct proportionality is represented by a straight line and it equation is of the form -

y = kx

k = y/x

where [k] is the constant

Given is an alligator's tail length [T] varies directly as its body length [B]. An alligator with a body length of 2.8 feet has a tail length of 2 feet.

We can write as -

tail length [T]  \(\alpha\)  body length [B].

Therefore -

T/B = K    [Constant]

We can write -

T₁/B₁ = T₂/B₂

2/2.8 = T₂/4.2

T₂ = (2 x 4.2)/2.8

T₂ = 3 ft

Therefore, the tail length of an alligator whose body length is 4.2 feet will be 3 feet.

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Answer:

Step-by-step explanation:

Greg

Distance from start line after 10 seconds:

Marti

Distance from start line after 10 seconds:

Comparing distances from the start line, 134.7 ft vs 167 ft, Marti is farthest from the start line and he is the winner.

oopss wrong one my bad

Answer:

2431

Step-by-step explanation:

2 4 3 1 is the way of the answers

Answer:

6

Step-by-step explanation:

The slope m between the 2 points is a measure of the rate of change.

Calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (3, 8) and (x₂, y₂ ) = (6, 26)

m = \(\frac{26-8}{6-3}\) = \(\frac{18}{3}\) = 6

Then rate of change is 6

Answer:

El costo total es 4 $.

Step-by-step explanation:

Sabemos que el metro de alambre grueso cuesta 4 pesos y el metro de alambre delgado cuesta 5 pesos.

Entonces:

Costo de alambre grueso

\(0.5\: m*4\frac{\$}{m}=2\: $\)

Costo de alambre delgado

\(0.4\: m*5\frac{\$}{m}=2\: $\)

Por lo tanto, el costo total es 4 $.

Espero te haya sido de ayuda!

The required answer is  P ≈  $1,904.76 in the CD to have $2,000 in 2 years with a 2.5% annual simple interest rate.

To determine how much you must put in the Certificate of Deposit (CD) to have $2,000 in 2 years with an annual interest rate of 2.5% using simple interest, follow these steps:

1. First, recall the simple interest formula: I = P × r × t
where,

I is the interest earned, P is the principal (initial amount) amount, r is the interest rate, and t is the time in years.
we know that the interest rate is 2.5% per year and the time period is 2 years.
2. Rearrange the formula to solve for the principal: P = I / (r × t)

3. Since you want to have $2,000 in 2 years, calculate the interest earned:
  Interest earned (I) = $2,000 - (amount you need to deposit)
 
4. Plug the interest rate, time, and interest earned into the rearranged formula:
  P = (2,000 - P) / (0.025 × 2)

5. Solve for P:
  0.05P = 2,000 - P
  1.05P = 2,000
  P ≈ $1,904.76

You should deposit approximately $1,904.76 in the CD to have $2,000 in 2 years with a 2.5% annual simple interest rate.

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The domain of sin^-1(x) and cos^-1(x) are different while the domain of sin(x) and cos(x) are the same is due to the inverse properties and the range of their respective functions.

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The x - coordinate of the point of intersection of the curves is

x = 1.

To find the x-coordinates of the points of intersection of the curves

y = x³ + 2x and

y = x³ + 6x - 4  

we equate both equations and solve for x.

Setting the equations equal

x³ + 2x = x³ + 6x - 4  

2x = 6x - 4

Subtracting 6x from both sides

-4x = -4

Dividing both sides by -4, we find:

x = 1

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Answer:

37

Step-by-step explanation: IM MAKING A GUESS IF ITS WRONG IM SORRY  I TIRED

If the machine produces 6153 bolts per hour then that machine produces 98448 bolts in 16 hours.

A formula that expresses the relationship between the two expressions on each side of a sign. Typically, it has a single variable and an equal sign.

A General Rule for Equation Solving. Remove parentheses from each of the equation's sides and combine similar phrases to make it simpler. To separate a constant component with one side of the equation, use addition or subtraction.

To find the variable, use division or multiplication.

Here given that a machine can produce 6153 bolts per hour.

Let x be the number of bolts produced per hour.

x = 6153

We have to find the number of bolts produced in 16 hr.

Number of bolts produced in 16hr = 16x

By substituting,

16hr = 16x

= 16 × 6153

= 98448

So the machine produces 98448 bolts in 16 hours.

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Answer:

Subtracting polynomials is quite similar to adding polynomials, but there are those pesky "minus" signs to deal with. If the subtraction is being done horizontally, then the "minus" signs will need to be taken carefully through the parentheses

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

This is true: the result of adding two polynomials will always be another polynomial. A polynomial is an algebraic expression made up of the sum of monomials, which are products of numbers (coefficients) and variables in positive integer exponents.

The work done by the winch in running the winch until the bottom of the chain is at the 10-foot level is 200 foot-pounds.

Given, The weight of the chain per foot = 2 pounds

Total length of the chain = 20 feet

The chain is hanging from a winch 20 feet above ground level.

The work done by the winch in running the winch until the bottom of the chain is at the 10-foot level is to be determined.

The force required to lift the chain is equal to the weight of the chain. Therefore, the force needed is F = 2 × 20 = 40 pounds. The work done is the product of force and distance.

Therefore, Work done = force × distance= 40 × (20 − 10)= 400 foot-pounds

Thus, the work done by the winch in running the winch until the bottom of the chain is at the 10-foot level is 200 foot-pounds.

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Answer:

5/7 - 2/6 = 16/42

Choice 4^th

Step-by-step explanation:

Given equation:

5/7 - []/6 = 16/42

To Find:

The missing numerator

Solution:

Let us assume that the missing numerator is x.

Then the equation will be:

\( = > \cfrac{5}{7} - \cfrac{x}{6} = \cfrac{16}{42} \)

Solve the equation to get our solution.

\( = > \cfrac{5}{7} - \cfrac{1x}{6} = \cfrac{16}{42} \)

You'll need to re-write this equation as:

\( = > \cfrac{ - 1x}{6} + \cfrac{5}{7} = \cfrac{8}{21} \)

Subtract 5/7 from both sides:

\( = > \cfrac{ - 1x}{6} + \cfrac{5}{7} - \cfrac{5}{7} = \cfrac{8}{21} - \cfrac{5}{7} \)

\( = > \cfrac{ - 1}{6} x = \cfrac{ - 1}{3} \)

Multiply both sides by 6/-1:

\( = > \cfrac{ \cancel{- 1}}{ \cancel6} x \times \cfrac{ \cancel6}{ \cancel{- 1}} = \cfrac{ \cancel{- 1}}{ \cancel3} \times \cfrac{ \cancel6 {}^{2} }{ \cancel{ - 1} }\)

\( = > \boxed{ x = 2}\)

Hence,

5/7 - 2/6 = 16/42

Choice 4^th

\( \rule{225pt}{2pt}\)

Answer:

5

Step-by-step explanation:

If two is subtracted from a number: let's give the number a name and call it  X . And this difference is tripled: so we get  3(X−2) . The result is 4 more than the number, so

3(X−2)=4+X .

We want to know  X  so we need to get it to one side of the equation. That's done by repeatedly doing the same operation on both sides of the equation. First get rid of the parentheses:

3X−6=4+X.  

Now subtract  X  and add  6 :

2X=10  

Divide by 2:

X=5

Answer:

x = 1

Step-by-step explanation:

The mathematical equation is 1-3x=2-4x

plz mark brainliest

If h(x) = (-x + 1)2 – 5 and g(x) = -x – 2, then (hog)(x) will be B. -x2 + 2x + 2.

If h(x) = (-x + 1)2 – 5 and g(x) = -x – 2, then (hog)(x) = (h(g(x)). This means that we need to plug in the value of g(x) into the equation for h(x) and simplify. To get this result, first use the chain rule:

(hog)(x) = h(g(x)).

So, (hog)(x) = h(g(x)) = h(-x-2) = (-(x)-2+1)2 – 5 = (-x-1)2 – 5

Expanding the square, we get:

(hog)(x) = (-x-1)(-x-1) – 5 = x2 + 2x + 1 – 5 = x2 + 2x - 4

Therefore, the correct answer is B. -x2 + 2x + 2.

Answer: B. -x2 + 2x + 2

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Quotient: 0.0009775. The decimal point is moved 4 places to the left in both the divisor and the dividend.

Quotient: 0.0023835. The decimal point is moved 2 places to the left in both the divisor and the dividend.

By moving the decimal point in the divisor and the dividend, we can perform long division to find the quotients. To check the dividend, we can multiply the quotients by the divisor and see if the result matches the dividend.

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The type of sampling that was used is a cluster.

furthered explained below

A cluster in a data set occurs when several of the data points have a commonality. The size of the data points has no affect on the cluster just the fact that many points are gathered in one location.

Clusters can be found by examining a graph or dot plot for data points grouped in a certain location. Clusters can also be found by analyzing a data set for a value that most of the data points are near.

In the given question above, each American Airlines flight is a group. 100 of them are chosen randomly, and in each group chosen, every passenger is surveyed. Hence cluster sampling was used.

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Answer:

Okay so x greater then or equal to 7

To plot ask yourself:

Open or Closed Circle:

Open->, <

Closed-Greater then or equal to or less then or equal to

Also ask:

am i ploting to the left or to the right

Step-by-step explanation:

It is going to be a closed circle, since it is greater then or equal too

And you cand use the sign so it is going to go to the left <------ (that way)

You can use the sign to guied you ex: x>5 you are going to the right ---->

Also, for this topic just know if the equation is like this: 3>x

MAKE SURE TO SWICH IT TO THIS:

x<3

YOU HAVE TO SWITCH THE EQUATION AROUND AND THE SIGN

I hope this helped! :D

Answer:

Equation 3

Step-by-step explanation:

The percentage of the scheduled time lost was 16.7%

Percentage can be calculated by dividing the value by the total value, and then multiplying the result by 100.

Percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%".

Percentage can be calculated by dividing the value by the total value, and then multiplying the result by 100. It is given by:

Percentage = (value / total value) * 100%

Time stopped = 35 mins

Scheduled time = 3 1/2 hour

converting to mins

3 1/2 hour = 210 mins

% lost = (35/210) x 100

% lost = 16.7%

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The solution to the given simultaneous equations are;

x = 5/3 and y = 7/3

We are given the two simultaneous equations as;

x + y = 4  

y = 2x -1

Rearranging the second equation to have all the variables on one side gives; 2x - y = 1

Thus, we have the equations;

x + y = 4   ------(1)

2x - y = 1    -----(2)

Add eq 1 to eq 2 to get;

3x = 5

divide both sides by 3 using division property of equality to get;

x = 5/3

Put 5/3 for x in eq 1 to get;

⁵/₃ + y = 4

y = 4 - ⁵/₃

y = ⁷/₃

Thus, those are the solutions to the simultaneous equations.

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Answer:

3.6

Step-by-step explanation:

20% of $18

20/100 x 18 = 180/50 =3 30/50 = 3 60/100 = 3.6