A community center offers yoga classes for $8 per month plus an additional $0.25 per center floor mat used.


Write an equation to express this relationship, using m to represent the number of mats used per month and C to represent the total cost in dollars. ​

Answer:

Step-by-step explanation:

acellus

The American romantic transcendental turn for respite nature.

A permanent, densely populated area with a clearly defined territorial area is what is meant by a city. Most cities have advanced equipment for housing, transport, sanitation, utilities, land use, manufacturing, and telecommunications.

The Transcendentalists worshipped nature. Instead of being beneath mankind, nature served as the additional half of a symbiotic association. The transcendental perspective of environment and the individuality of a person is based on this analogy.

The idea is that in order to connect with God via nature, mankind must transcend the physical and almost all materialistic world. These all reaffirm the core tenets of transcendentalism: freedom of thought, independence and nonconformity, personal development, and regeneration.

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Answer:

44 minutes

Step-by-step explanation:

It takes him 4 minutes to read one page, so you multiple 4 by 11 and get the amount of time it takes him to read 11 pages

Answer:

takes 44 minutes to read 11 pages

Step-by-step explanation:

Answer:

\(x = \frac{3}{4} + \frac{ \sqrt{105} }{4} \: \: , \: \: \: x = \frac{3}{4} - \frac{ \sqrt{105} }{4} \\ \)

Step-by-step explanation:

2x² - 3x - 12 = 0

Using the quadratic formula which is

\(x = \frac{ - b \pm\sqrt{ {b}^{2} - 4ac} }{2a} \\ \)

From the question

a = 2 , b = - 3 , c = - 12

So we have

\(x = \frac{ - - 3\pm \sqrt{ ({ - 3})^{2} - 4(2)( - 12)} }{2(2)} \\ = \frac{3\pm \sqrt{9 + 96} }{4} \\ = \frac{3\pm \sqrt{105} }{4} \: \: \: \: \: \: \)

Separate the solutions

We have the final answer as

\(x = \frac{3}{4} + \frac{ \sqrt{105} }{4} \: \: , \: \: \: x = \frac{3}{4} - \frac{ \sqrt{105} }{4} \\ \)

Hope this helps you

Answer:

A) 5

B) 20

C) 28

D) 25

Step-by-step explanation:

Hope this helps :))

Answer:

a) a-b

7-2 =5

b) 2×a + 3×b

2×7 + 3×2

14 +6 =20

c) 2ab

2×a×b

2×7×2 =28

d) (7-2) power of 2

5 power of 2

5+5 =10

The length of side AD is,

⇒ AD = 16

We have to given that;

The given figure is a right triangular prism.

In the prism:

• DF = 22 in.

• EG = 11 in.

• Volume of the prism = 1936 cubic in.

Since, Volume of right triangular prism is,

V = 1/2 (bh) x L

Substitute all the values we get;

V = 1/2 (22 × 11) × AD

1936 = 121 × AD

AD = 16

Thus, The length of side AD is, 16

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Answer:

400^2 = 160 000

Step-by-step explanation:

The square of a number means the product of a number by itself, while the perfect square ... For example, the number 9 is a perfect square because it can be expressed as a product of ... A square football pitch has a perimeter of 400 meters.

The type of model that best fits the situation of a $500 raise in salary each year is a linear model.

In a linear model, the dependent variable changes a constant amount for constant increments of the independent variable.

In the given case, the dependent variable is the salary and the independent variable is the year.

You may build a table to show that for increments of 1 year the increments of the salary is $500:

Year         Salary        Change in year         Change in salary

2010           A                           -                                       -

2011           A + 500     2011 - 2010 = 1          A + 500 - 500 = 500

2012          A + 1,000   2012 - 2011 = 1          A + 1,000 - (A + 500) = 500

So, you can see that every year the salary increases the same amount ($500).

In general, a linear model is represented by the general equation y = mx + b, where x is the change of y per unit change of x, and b is the initial value (y-intercept).              

In this case, m = $500 and b is the starting salary: y = 500x + b.

keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above

\(y = \stackrel{\stackrel{m}{\downarrow }}{-\cfrac{2}{3}}x-7\qquad \impliedby \qquad \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\)

so, we're really looking for the equation of a line whose slope is -2/3 and passes through (-6 , 3)

\((\stackrel{x_1}{-6}~,~\stackrel{y_1}{3})\qquad \qquad \stackrel{slope}{m}\implies -\cfrac{2}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{3}=\stackrel{m}{-\cfrac{2}{3}}(x-\stackrel{x_1}{(-6)})\implies y-3=-\cfrac{2}{3}(x+6) \\\\\\ y-3=-\cfrac{2}{3}x-4\implies y=-\cfrac{2}{3}-1\)

The equation for the line parallel to y =-2/3x – 7 that contains (-6, 3) is y - 3 = -2/3(x+6)

The equation of a line in point slope form is expressed as:

y - y1 = m(x-x1)

m is the slope

(x1, y1) is any point on the line

GIven the equation y =-2/3x – 7, the slope of the line is -2/3

Substitute m = -2/3 and (-6, 3) into the formula

y - 3 = -2/3(x-(-6)

y - 3 = -2/3(x+6)

Hence the equation for the line parallel to y =-2/3x – 7 that contains (-6, 3) is y - 3 = -2/3(x+6)

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Answer:

\(q=45\)

Step-by-step explanation:

Notice that \((q+2)^{\circ}\) and \((3q-2)^{\circ}\) form a linear pair, that is, they sum to \(180^{\circ}\) as follows:

\((q+2)^{\circ}+(3q-2)^{\circ}=180^{\circ}\\(q+2+3q-2)^{\circ}=180^{\circ}\\(4q)^{\circ}=180^{\circ}\\4q=180\\q=\frac{180}{4}\\q=45\)

Answer:

His is a normal distribution question with a) x1 = 480 x2 = 520 P(480.0 < x < 520.0)=? This implies that P(480.0 < x < 520.0) = P(-2.4326 < z < 0.3475) = P(Z < 0.3475) - P(Z < -2.4326)

Step-by-step explanation:

A Sample Of 65 Scores Is Chosen. Use The TI-84 Plus Calculator. Part 1 Of 5 (a) What Is The Probability That The Sample Mean Score Is Less Than 5007

Answer: Yes

Step-by-step explanation: bc 6(-3)+5=5(-3)+8+2(-3)

Becomes -18+5=-15+8+-6 which equals -13 on both sides meaning -3 is a solution

6x+5=5x+8+2x

6x+5=(5x+2x)+(8)(Combine Like Terms)

6x+5=7x+8

6x+5=7x+8

Step 2: Subtract 7x from both sides.

6x+5−7x=7x+8−7x

−x+5=8

Step 3: Subtract 5 from both sides.

−x+5−5=8−5

−x=3

Step 4: Divide both sides by -1.

−x

−1

=

3

−1

x=−3

Answer:

x=−3

Answer:

2,057.18

Step-by-step explanation:

The probability that the friend is between 10 and 30 minutes late is approximately 0.6667, or 66.67%.

Since the probability density function is uniform, the probability of the friend being between 10 and 30 minutes late is equal to the area of the rectangle that lies between x = 10 and x = 30, and below the curve of the probability density function.

The height of the rectangle is equal to the maximum value of the probability density function, which is 1/30 since the interval of possible values for x is [0, 30] minutes.

The width of the rectangle is equal to the difference between the upper and lower limits of the interval, which is 30 - 10 = 20 minutes.

Therefore, the probability of the friend being between 10 and 30 minutes late is:

P(10 < x < 30) = (height of rectangle) x (width of rectangle)

= (1/30) x 20

= 2/3

≈ 0.6667

So the probability that the friend is between 10 and 30 minutes late is approximately 0.6667, or 66.67%.

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In accordance with the exponential model, the current forest area is equal to 2801.149 square kilometers after six years.  

According with statement, the forest area decreases exponentially in time. Then, the exponential model is defined by following model:

n(x) = n' · (1 - r)ˣ

Where:

If we know that n' = 4400 km², r = 0.0725 and x = 6 yr, then the current forest area is:

n(6) = 4400 · (1 - 0.0725)⁶

n(6) = 2801.149

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Answer:↓↓

Step-by-step explanation:

2, 3, 13, 14, 16, 20, 20, 20, 30, 40

Mean: the average of a data set.

2 + 3 + 13 + 14 + 16 + 20 + 20 + 20 + 30 + 40 / 10 = 178/10 = 17.8

Median: the middle of the set of numbers.

16 + 20 / 2 = 36/2 = 18

Mode: the most common number in a data set.

20

Range: The difference of the smallest and highest number.

40 - 2 = 38

Answer:

The minimum sample size required to create the specified confidence interval is 295.

Step-by-step explanation:

We have that to find our \(\alpha\) level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\(\alpha = \frac{1 - 0.95}{2} = 0.025\)

Now, we have to find z in the Z-table as such z has a p-value of \(1 - \alpha\).

That is z with a pvalue of \(1 - 0.025 = 0.975\), so Z = 1.96.

Now, find the margin of error M as such

\(M = z\frac{\sigma}{\sqrt{n}}\)

In which \(\sigma\) is the standard deviation of the population and n is the size of the sample.

Variance of 0.49:

This means that \(\sigma = \sqrt{0.49} = 0.7\)

They want to construct a 95% confidence interval with an error of no more than 0.08. What is the minimum sample size required to create the specified confidence interval?

The minimum sample size is n for which M = 0.08. So

\(M = z\frac{\sigma}{\sqrt{n}}\)

\(0.08 = 1.96\frac{0.7}{\sqrt{n}}\)

\(0.08\sqrt{n} = 1.96*0.7\)

\(\sqrt{n} = \frac{1.96*0.7}{0.08}\)

\((\sqrt{n})^2 = (\frac{1.96*0.7}{0.08})^2\)

\(n = 294.1\)

Rounding up:

The minimum sample size required to create the specified confidence interval is 295.

ggg

Step-by-step explanation:

Answer:

9/16

Step-by-step explanation:

There are 4 beads in the bag, 1 purple and 3 green

P ( green) = green/total

                = 3/4

The bead is replaced

There are 4 beads in the bag, 1 purple and 3 green

P ( green) = green/total

                = 3/4

P ( green, replace, green) =P( green) * P ( green)

                                           = 3/4 * 3/4

                                            = 9 /16

Answer:

Step-by-step explanation:

20 tickets were sold to guest and 235 were sold to guest

Got to say what a school

Number of student tickets are 105 and the number of guest tickets are 150.

An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.

Let x be the number of student tickets and y be the number of guest tickets sold.

The high school drama club earned $855 after selling 255 tickets.

x + y = 255

Given,

Cost of one student ticket = $1

Cost of one guest ticket = $5

x + 5y = 855

Thus we get two linear equations :

x + y = 255

x + 5y = 855

Solving this, we will get the number we need.

Subtracting the first equation from the second one,

4y = 600

y = 600 / 4

y = 150

x = 255 - y

  = 255 - 150

  = 105

Hence the high school drama club sold 105 student tickets and 150 guest tickets.

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The domain of the composite functions:

a). (f + g)(-2) = 23

b). (f - g) (-2) = 1

c). f(x) - g(x) = x² - 5x - 13

A function is composite when the co- domain of the first mapping is the domain of the second mapping

Given the functions f(x) = x² - 4x and g(x) = x + 13, we shall evaluate the domains of the functions as follows:

a). (f + g)(-2) = (-2)² - 4(-2) + (-2) + 13

(f + g)(-2) = 4 + 8 - 2 + 13

(f + g)(-2) = 23

b). (f - g) (-2) = (-2)² - 4(-2) - (-2) - 13

(f - g)(-2) = 4 + 8 + 2 - 13

(f - g) (-2) = 1

c). f(x) - g(x) = x² - 4x - x - 13

f(x) - g(x) = x² - 5x - 13

Therefore, the domain of the composite functions:

a). (f + g)(-2) = 23

b). (f - g) (-2) = 1

c). f(x) - g(x) = x² - 5x - 13

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The equation that represents the cost, c, of n sets is c = 63.74n

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

Each volleyball set costs $63.74.

Let the total number of sets be n

So we have

Cost of n = 63.74 * n

This gives

c = 63.74n

Hence, the equation is c = 63.74n

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Answer:

Step-by-step explanation:

it is B

Answer:

1 potato chip every 3 seconds

Step-by-step explanation:

Answer:

20 chips in one minute

Step-by-step explanation:

multiply each number by 5

The table is an exponential function, and the equation that represents this function is \(f(x) =2^x -1\)

The table is given as:

x   F(x)

4    15

5    31

7    127

8    255

Rewrite the table as:

x   F(x)

4    16 - 1

5    32 - 1

7    128 - 1

8    256 - 1

Express as a base of 2

x   F(x)

4    2⁴ - 1

5    2⁵- 1

7    2⁷ - 1

8    2⁸ - 1

Notice that the function is 1 subtracted from 2 raised to the power of the input.

This is represented as:

\(f(x) =2^x -1\)

Hence, the equation of the table is \(f(x) =2^x -1\)

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The pair of Linear angles are 51° and 129°.

When two lines intersect at a point then they will form two linear angles. The sum of angles of a linear pair is always equal to 180°. Such angles are also known as supplementary angles.

In other words, if the sum of two adjacent angles is 180° then the pair of angles are said to be Linear Angles.

Here we have

Two angles form linear angles

Let x and y be the two angles

=> x + y = 180 ------ (1)  [ since both are linear angles ]  

Given that the sum of one angle plus 27 is equal to two times the sum of the other angle

=> x + 27 = 2y

=> x = (2y - 27) ---- (2)

Substitute (2) in (1)

=> 2y - 27 + y = 180

=> 3y = 153

=> y = 153/3

=> y =  51  

Now substitute y = 51 in (1)

=> x + 51 = 180

=> x = 180 - 51

=> x = 129

The pair of Linear angles are 51° and 129°.

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The mean body mass of the Adelie species is  3706.164 g.

Original chunk of code:

penguins %>%

drop_na() %>%

group_by(species) %>%

The code chunk summarize(mean(body_mass_g)) lets you find the mean value for the variable body_mass_g. The correct code is

penguins %>% drop_na() %>% summarize (mean(body_mass_g)).

The summarize () function displays summary statistics. We can use the summarize() function in combination with other functions - such as mean(), max(), min() - to calculate specific statistics. In this case, you use mean() to calculate the mean value for body mass.

Hence, The mean body mass for the Adelie species is 3706.164 g.

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Answer:

wait huh?

Step-by-step explanation:

cdzfv

c

c

c

c

c

The relationship between the distance that birds fly in relation to the time they do so, is positive.

There are about 3 outliers but for the most part, the relationship is positive.

The graph which shows the distance that birds fly in relation to the time they do, shows that there is a positive relationship because as the time increases, the distance that the birds have flown also increases.

There are some outliers such as the bird that flew 1 mile in 7 hours but in general, as the time increases, the distance increases as well. There are two clusters of distance as well.

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Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522

Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.

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Answer:

Step-by-step explanation

1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.

Now let's check if this result is correct:

1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.

So we have shown that each family paid **Rs 13,522** for the trip