Use the graph of f to determine each of the following(a) the domain of f(b) the range of f(c) the zero(s) of f(d) f(4)(e) the intervals on which f is increasing(n the intervals on which f is decreasing(g) the values for which fix) <= 0(h) any relative maxima or minima(i) the value(s) of × for which f(x) = 4() Is f(3) positive or negative?

The height of the hexagonal-based pyramid is approximately 101.61 inches.

To find the height of the hexagonal-based pyramid, we can use the formula for the volume of a pyramid:

Volume = (1/3) × Base Area × Height

In this case, the base of the pyramid is a regular hexagon, and we have the side length (s) and apothem (a) given.

The base area of a regular hexagon can be calculated using the formula:

Base Area = (3√3/2) × s²

Let's calculate the base area first:

Base Area = (3√3/2) × (6 in)²

Base Area = (3√3/2) × 36 in²

Base Area ≈ 93.53 in²

Now, we can rearrange the volume formula to solve for the height:

Height = Volume / ((1/3) × Base Area)

Height = 3168 in³ / ((1/3) × 93.53 in²)

Height = 3168 in³ / (31.177 in²)

Height ≈ 101.61 in

Therefore, the height of the hexagonal-based pyramid is approximately 101.61 inches.

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Step-by-step explanation:

It is important to know that the diagonals of a rhombus are PERPINDICUALR bisectors of each other .   Opposite angles are equal and adjacen angles sum to 180 degrees .

Then remember alternate angles are equal  and there are 180 degrees inside of a triangle .....then you should be able to solve these...here is the first one

Answer:

It is not a function

Step-by-step explanation:

A function is a rule from x to y that applies to all elements of x. Every element of x should have one image only.

Here, element "1" has two images 3 and 7. Therefore it's not a function.

To determine the possible lenghts of the thir

Answer:

3

Step-by-step explanation:

Answer:

x=0 or x=3

Step-by-step explanation:

Since it is a geometric sequence, that means term divided by previous term is the same number. Let's call that number, r.

That means we have:

(3x+1)/(2x-1)=r

(7x-1)/(3x+1)=r

Since both of the ratios are the same, then we have

(3x+1)/(2x-1)=(7x-1)/(3x+1)

Cross multiply:

(3x+1)(3x+1)=(2x-1)(7x-1)

Distribute:

9x^2+3x+3x+1=14x^2-2x-7x+1

Combine like terms:

9x^2+6x+1=14x^2-9x+1

Subtract 1 on both sides:

9x^2+6x=14x^2-9x

Subtract 14x^2 on both sides

Add 9x on both sides

-5x^2+15x=0

Factor -5x:

-5x(x-3)=0

-5x=0 when x=0 since -5(0)=0

x-3=0 when x=3 since 3-3=0

Note that the coordinates of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4). (Option B)

To rotate a point 90 degrees  clockwise about a given point,we can follow these steps -

Translate the coordinates   of the given point so that the center of rotation is at the origin.   In this case,we subtract the coordinates   of the center (0,1) from the coordinates of point A (5,4) to get (-5, 3).

Perform the rotation by swapping the x and y coordinates and changing the sign of the   new x coordinate. In this case,we  swap the x and y coordinates of (-5, 3)   to  get (3, -5).

Translate the coordinates back to their original position   by adding the coordinates of the center (0,1)  to the result from step 2. In   this case, we add (0,1) to (3, -5) to get (3, -4).

Therefore, the coordinates   of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4).

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Answer:

-300

Step-by-step explanation:

because is in the negative and is a number bigger than 23 but in negative.

The number of sells she needs to to in order to earn same as fixed monthly salary, 3000

Percentage is a way to express a number as a fraction of 100. It is often used to represent ratios and proportions in a more convenient and understandable form, especially in financial and statistical contexts. For example, 50% means 50 per 100, or half of a given quantity. It is denoted using the symbol "%".

Given that,

First choice, monthly salary of ​$1260 from a company

Second choice, base salary of ​$1200 and a ​2% commission on the amount of furniture she sells during the month.

Let's call the amount of furniture Juliet sells each month "x".

With the second option, Juliet would receive a monthly salary of $1200 + 0.02x,

We want to find the value of x such that this salary is equal to $1260, so we can set up the following equation:

$1200 + 0.02x = 1260

Subtracting $1200 from both sides:

0.02x = 60

Dividing both sides by 0.02:

x = 3000

So, for Juliet to earn the same salary with either option, she would need to sell $3000 worth of furniture each month.

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Answer:

3

Step-by-step explanation:

Answer:

see photo

Step-by-step explanation:

took the test

Answer:

3

Step-by-step explanation:

We can use 2 for x and 4 for y.

(2y-2)/x

(2(4)-2)/2

(8-2)/2

6/2

3

Answer:

Total Profit = P(a,b) = ($0.40a) + ($0.40b), where a = # of apples sold and b = # of bananas sold.

Answer:

its B

Step-by-step explanation:

your welcome

Step-by-step explanation:

the answer would be

4

2

1

3

5

Answer:

1

Step-by-step explanation:

The maximum of f(x) = sin(x) is 1. The sine function has a range of -1 ≤ sin(x) ≤ 1. The sine function oscillates between -1 and 1, reaching a maximum of 1 when x = π/2 and a minimum of -1 when x = -π/2.  If you look at a graph of

y = sin(x) you can see this.  

Answer: The Maximum Value of f(x)=sin(x) is 1 , when x=90°.

Step-by-step explanation:

Property of Sine function:

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The required polynomial (24x² - 3x + 4) / 6x is equivalent to the given expression 4x - 1/2 + 2/3x.

Expressions are mathematical statements with a minimum of two terms containing variables or numbers.

The expression below which is given in the question.

⇒ 4x - 1/2 + 2/3x

Rearrange the terms likewise and apply the arithmetic operation

⇒ 4x + 2/3x - 1/2

Take the LCM in the above expression,

⇒ (6x × 4x + 2 × 2 - 3x ×1) / 6x

⇒ (24x² + 4 - 3x) / 6x

⇒ (24x² - 3x + 4) / 6x

The required polynomial (24x² - 3x + 4) / 6x is equivalent to the given expression.

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The question seems to be incomplete the correct question would be

Which polynomial is equivalent to the below expression?

4x - 1/2 + 2/3x

According to the given time card the pay for the day is $96.25.

To calculate the pay for a day, we need to determine the total number of hours worked for that day. We can do this by subtracting the start time from the end time for each shift.

In the morning, the start time is 8:00 and the end time is 12:00, so the number of hours worked is 12:00 - 8:00 = 4 hours.

In the afternoon, the start time is 12:45 and the end time is 17:30, so the number of hours worked is 17:30 - 12:45 = 4 hours and 45 minutes, which we can convert to decimal form by dividing 45 by 60 to get 0.75 hours.

The total number of hours worked is 4 + 4.75 = 8.75 hours.

Since the wage is $11/hr, the pay for the day is 8.75 hours * $11/hr = $96.25.

Rounding to the nearest hundredth, the pay for the day is $96.25.

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Answer:

-9,-4

Step-by-step explanation:

The mean absolute deviation is $106.6.

Given the table shows the amount Bill spent on 5 days last week.

DayAmount12622313126534To find the mean of the amount he spent: The formula for calculating the mean of a given set of values is mean=∑x/n where x represents the values, n represents the number of values, and ∑x represents the sum of the values.

Mean=total sum of values/total number of values Mean=(26+23+31+26+534)/5Mean=640/5Mean=128So,

the mean of the amount he spent is $128.To find the mean absolute deviation: The mean absolute deviation (MAD) is the average distance between each data value and the mean. MAD shows how much the data set deviates from the mean. The formula for calculating the MAD is MAD=∑|xi−m|/n where xi represents the values, m represents the mean, and n represents the number of values. So, the calculation for each day is:

Day Amount Absolute deviation from mean1 26 |128-26|=102 23 |128-23|=105 31 |128-31|=974 26 |128-26|=102 534 |128-534|=406

The sum of all absolute deviations is:

10+10+97+10+406=533The mean absolute deviation (MAD) is: MAD=533/5=106.6So.

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The only interval with a negative rate of change is the last one:

[1, 2.5]

For an interval (a, b) and a function f(x), the rate of change is defined as:

\(r = \frac{f(b) - f(a)}{b - a}\)

So the rate of change is only negative when the function evaluated on the first value of the interval is larger than the function evaluated in the second one.

For example, on the interval [1, 2.5} we can see that:

f(1) = 3

f(2.5) = -1

Then on this interval, the rate of change will be negative, meaning that this is the correct option.

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Answer:

It's D: 1 to 2.5

Step-by-step explanation:

It's D: 1 to 2.5

Answer:

Cost of Washer = $696

Cost of Dryer = $232

Step-by-step explanation:

Start by making and equation, put a variable for the missing prices, let's say the cost of the dryer is 'x' and since the cost of the washer is three times, it will be '3x'.

Put the equation together, so we can add the x variables together.

3x + x = 4x

The total cost will be what the '4x' is equal to.

4x = 928

Going back to algebra, we solve the equation by dividing both sides by 4.

x = 232

Remember x is the variable we gave to the dryer, so now we must find the cost of the washer. In order to do this, we will have to multiply it by 3.

3x

3(232) = 696.

To check the answer, we can add them together to make sure we get the total cost.

696 + 232 = 928

Answer:

a

The null hypothesis is  \(H_o : \sigma^2_1 = \sigma^2 _2\)

The alternative hypothesis is \(H_a : \sigma_1 ^2 > \sigma^2_2\)

b

\(F_{critical} = 1.8608\)

c

\(F = 2.9085\)

d

    The decision rule is  

Reject the null hypothesis

e

There is sufficient evidence to support the researchers claim

Step-by-step explanation:

From the question we are told that

 The first sample size is  \(n_1 = 30\)

 The sample variance for elementary school is  \(s^2_1 = 8324\)

 The second sample size is  \(n_2 = 30\)

  The sample variance for the secondary school is  \(s^2_2 = 2862\)

   The significance level is  \(\alpha = 0.05\)

The null hypothesis is  \(H_o : \sigma^2_1 = \sigma^2 _2\)

The alternative hypothesis is \(H_a : \sigma_1 ^2 > \sigma^2_2\)

Generally from the F statistics table  the critical value of \(\alpha = 0.05\) at first and  second degree of freedom \(df_1 = n_1 - 1 = 30 - 1 = 29\) and  \(df_2 = n_2 - 1 = 30 - 1 = 29\) is  

         \(F_{critical} = 1.8608\)

Generally the test statistics is mathematically represented as

       \(F = \frac{s_1^2 }{s_2^2}\)

=>   \(F = \frac{8324 }{2862}\)

=>   \(F = 2.9085\)

Generally from the value obtained we see that  \(F > F_{critical }\) Hence

   The decision rule is  

Reject the null hypothesis

    The conclusion is  

  There is sufficient evidence to support the researchers claim

We have found that: AB = (BD/2) * (XZ/AY) and we can solve for BD:

BD = 2 * AB * AY / XZ

What is triangle?

A triangle is a three-sided polygon with three angles. It is a fundamental geometric shape and is often used in geometry and trigonometry.

Since BD is a median of triangle ABC, it divides side AC into two equal parts. Let's label the midpoint of AC as M. Similarly, YW is a median of triangle XYZ and it divides side XZ into two equal parts, with the midpoint labeled as N.

Since AABC~AXYZ, we know that the corresponding sides are proportional. Thus,

AB/AX = AC/AY = BC/BZ

Since AB = BC (given that B is a vertex of both triangles), we have:

AB/AX = AC/AY

We can rewrite this equation as:

AB/AC = AX/AY ----(1)

Since BD is a median of triangle ABC, we have:

BD = 1/2 AC ----(2)

Similarly, since YW is a median of triangle XYZ, we have:

YW = 1/2 XZ ----(3)

From equation (1), we have:

AB/AC = AX/AY

Multiplying both sides by AC, we get:

AB = AX * (AC/AY)

Now, using equation (2), we can substitute AC/2 for BD:

AB = AX * BD/AY

Finally, using equation (3), we can substitute XZ/2 for YW:

AB = (BD/2) * (XZ/AY)

Therefore, we have found that:

AB = (BD/2) * (XZ/AY)

Hence, we can solve for BD:

BD = 2 * AB * AY / XZ

Note that we need to know the actual values of AB, AY, and XZ to find BD.

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The shaded area to the right of 4 indicates all values larger than 4 being inequality included in the solution set, while the closed circle at 4 represents the number 4 being included in the solution set.

A relationship between two terms or values which is not equal is known as an inequality in mathematics. Inequality follows imbalances, therefore. In mathematics, an inequality makes a link among two quantities that are not equal. Egality and inequality are different. Use the not similar symbol most frequently when two components are not equal (). Various inequalities are employed to contrast values of all sizes. By changing the two parts until only the variables are left, one can solve many straightforward inequalities. However a variety of factors support inequality: Negative values are split or added on either side. Switch between the left & right.

The graph below shows the set of solutions to the inequality where x + 2 is larger than or equal to 6:

From negative 9 to positive 9 is a number line. At positive 4, a closed circle appears. Positive numbers four through nine are shaded on the number line.

This means that the inequality will be satisfied by any value of x larger than or equal to 4. The graph includes the value 4 in the solution set since it has a closed circle there, and because it is shaded to the right of 4, it also includes all values higher than 4.

Here is an illustration of the graph:

  |----|----|----|----|----|----|----|----|----|

     -9   -8   -7   -6   -5   -4   -3   -2   -1    0

                                           o        

                                         ---->      

                                           4        

                                         ----]      

                                           >        

      |----|----|----|----|----|----|----|----|----|

      -9   -8   -7   -6   -5   -4   -3   -2   -1    0

The shaded area to the right of 4 indicates all values larger than 4 being included in the solution set, while the closed circle at 4 represents the number 4 being included in the solution set.

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Answer:

the probability of no defects in 10 feet of steel = 0.1353

Step-by-step explanation:

GIven that:

A roll of steel is manufactured on a processing line. The anticipated number of defects in a 10-foot segment of this roll is two.

Let consider β to be the average value for defecting

So;

β = 2

Assuming Y to be the random variable which signifies the anticipated number of defects in a 10-foot segment of this roll.

Thus, y follows a poisson distribution as number of defect is infinite with the average value of β = 2

i.e

\(Y \sim P( \beta = 2)\)

the probability mass function can be represented as follows:

\(\mathtt{P(y) = \dfrac{e^{- \beta} \ \beta^ \ y}{y!}}\)

where;

y =  0,1,2,3 ...

Hence,  the probability of no defects in 10 feet of steel

y = 0

\(\mathtt{P(y =0) = \dfrac{e^{- 2} \ 2^ \ 0}{0!}}\)

\(\mathtt{P(y =0) = \dfrac{0.1353 \times 1}{1}}\)

P(y =0) = 0.1353

Answer:

1.42 liters is the correct answer

Answer:

Step-by-step explanation:

The expression k - 3d has two terms: k and -3d.

The coefficient of the term k is 1, because k can be written as 1k, and the coefficient of a term without a numerical coefficient is always 1.

The coefficient of the term -3d is -3, because -3d can be written as -3*d, and the coefficient of a term with a variable is the numerical coefficient of the variable (in this case, d) multiplied by any numerical coefficient (in this case, -3).

Answer:

Step-by-step explanation:

The two adjacent angles must have a sum of 180

CED=180-122

CED=58 degrees

Answer:

C. 18.5

Step-by-step explanation:

all you have to do is add all the numbers together. Your equation should be 25+20+20+17+15+14 to get the answer of 111. After this all you have to do is divide 111 by how many games were played which is 6. 111÷6 is 18.5

Answer:

a

Step-by-step explanation:

The region represented by the inequality in vertex form is the inequality in the last option y ≥ -(x - 50)² + 625.

Let's assume that the equation is y = a(x - h)² + k

y = a(x - 50)² + 625

Put the point (61,504) in the equation

⇒ 504 = a(61 - 50)² + 625

⇒ 504 = a(11)² + 625

⇒ 504 = 121a + 625

⇒ 121a = -625 + 504

⇒ 121a = -121

⇒ a = -1

y = -(x - 50)² + 625

Hence the inequality is  y ≥ -(x - 50)² + 625.

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