Determine the seating capacity of an auditorium with 10 rows of seats if there are 15 seats in the first row, 19 seats in the second row, 23 seats in the third row, 27 seats in the fourth row, and so on. Total number of seats =

answer

their are 4 10.25 and 4 10.50 and 4 11.00 and 2 11.25 and

Step-by-step explanation:

ok so you just need to put those on the line plot

Answer: 14m+8n

Step-by-step explanation:

Simplify the expression

6m+3n+8m+5n

6m+8m+3n+5n

14m+8n

It is the same expression except that it is simplified and contains only 2 terms

Answer:

y=0.75x

Step-by-step explanation:

$3 for every 4 hours

$0.75 for every hour

y=0.75x

The equation relating the total cost (y) to the number of hours (x) is y = 0.75x.

The equation that relates the total cost (y) to the number of hours (x) can be derived from the given information. We know that the cost is $3 for 4 hours of feeding kookaburras.

The cost is proportional to the number of hours, and we can represent this relationship using a linear equation:

Cost = Rate × Hours

In this case, the rate is the cost per hour, which is $3 / 4 hours = $0.75 per hour.

Therefore, the equation relating the total cost (y) to the number of hours (x) is:

y = 0.75x

Here, "y" represents the total cost, and "x" represents the number of hours. This equation reflects the linear relationship between the total cost and the number of hours of feeding kookaburras in the zoo.

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Answer: x ≈ 8.9 units

Step-by-step explanation:

     We can use trigonometric functions to help us solve this question.

[tex]\displaystyle sin(\theta)=\frac{\text{opposite side}}{\text{hypotenuse}}[/tex]

[tex]\displaystyle sin(43)=\frac{x}{13}[/tex]

[tex]\displaystyle 13(sin(43))=x[/tex]

[tex]\displaystyle x= 13(sin(43))[/tex]

[tex]\displaystyle x= 8.86597868[/tex]

[tex]\displaystyle x \approx 8.9[/tex]

Answer:

V= 22800 unit^3

Step-by-step explanation:

hope this helps :)

Answer:

C, D, F

Step-by-step explanation:

Exponent rules:

[tex]\dfrac{a^b}{a^c}=a^{b-c}[/tex]

[tex]a^{-n}=\dfrac{1}{a^n}[/tex]

[tex]\dfrac{1}{a^{-n}}=a^n[/tex]

[tex]a^n \cdot b^n=(ab)^n[/tex]

[tex]a^0=1[/tex]

[tex](a^b)^c=a^{bc}[/tex]

[tex]\textsf{A}\quad\dfrac{24^{-3}}{24^{-4}}=24^{-3-(-4)}=24^1=24[/tex]

[tex]\textsf{B}\quad3^{-2} \cdot 8^{-5}=\dfrac{1}{3^2} \cdot \dfrac{1}{8^5}=\dfrac{1}{9} \cdot \dfrac{1}{32768}=\dfrac{1}{294912}[/tex]

[tex]\textsf{C}\quad\left(\dfrac{1}{24^{-7}}\right)^{-1}=\left(24^7\right)^{-1}=24^{-7}[/tex]

[tex]\textsf{D}\quad\dfrac{8^{-7}}{3^7}=\dfrac{1}{8^7 \cdot 3^7}=\dfrac{1}{(8 \cdot 3)^7}=\dfrac{1}{24^7}=24^{-7}[/tex]

[tex]\textsf{E}\quad24^7 \cdot 24^0=24^7 \cdot 1=24^7[/tex]

[tex]\textsf{F}\quad(24^3 \cdot 24^4)^{-1}=\left(24^{3+4}\right)^{-1}=(24^7)^{-1}=24^{-7}[/tex]

Answer:

-5, -6, -7 ,-8, -9, -10, -11

Step-by-step explanation:

Answer:

I would be 3 8/10

Step-by-step explanation:

hope this helps

Answer:

3rd choice: sec(a) = 1.06

Step-by-step explanation:

sec(a) = (hypotenuse)/(adjacent leg)

The statement that is accurate for the right triangle shown below is C. sec(a) = 1.06

The accurate statement is the one that can help us arrive at the correct angle in the diagram. That is sec(a) = 1.06. The formula is given as follows:

(hypotenuse)/(adjacent)

In the question we have, the hypotenuse is 50 while the adjacent is 47. Note that the hypotenuse is the longest side of the triangle, and the adjacent is often represented by the base.

So, we have;

50/47 = 1.06

Thus to find the angle for alpha in the triangle shown, the right statement would be; sec(a) = 1.06.

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Answer:

35

Step-by-step explanation:

4+1/3 ÷5=1/6

4+5/3=1/6

Multiply each side by the L.C.M which is 6

24+10+1

35

A heptagon has seven sides. The measure of the final interior angle of the heptagon is 124°.

A heptagon, sometimes known as a septagon, is a seven-sided polygon. The heptagon is also known as the septagon, which combines the prefix "sept-" with the Greek suffix "-agon," which means "angle."

A heptagon has 7 sides therefore, the sum of the interior angle of the heptagon can be written as,

[tex]\text{Sum of intetrior angles of a polygon with n sides} = (n-2)\times 180^o\\\\\text{Sum of all the angle of heptagon} = (7-2) \times 180^o = 900^o[/tex]

As it is said in the problem that the sum of the all the angles of the heptagon  except one is 776°, therefore, the measure of the last angle of the heptagon is,

The measure of the last angle = 900° - 776° = 124°

Hence, the measure of the final interior angle of the heptagon is 124°.

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Answer:

C. 124

Step-by-step explanation:

E2020

Julian’s data shows that the recent seasons’s average jeans price is not $75.

Julian is a manager at a clothing store for teens.

He is analyzing the order for next season.

The average price is the mean price of an asset or security observed over some period of time

data for the previous 10 years suggests that teens are willing to spend an average of $75 for a pair of designer jeans with a standard deviation of $5.

however, Julian thinks the average may have changed due to a recession.

The answer is A).

Julian’s data shows that the recent seasons’s average jeans price is not $75.

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Answer:

Julian’s data shows that the recent seasons’ average jeans price is not $75.

Step-by-step explanation:

edge 2022

Answer:

[tex]y =\dfrac{-1}{2}x +4[/tex]

Step-by-step explanation:

Equation of the line: y = mx +b

y = 2x + 7

m = 2

Slope of the perpendicular line = [tex]-\frac{1}{m}[/tex]

   [tex]\sf m_1 =\dfrac{-1}{2}[/tex]

Equation of the perpendicular line:

             [tex]y= \dfrac{-1}{2}x + b[/tex]

This line is passing throught (2 ,3). Substitute the x & y coordinate in the above equation and now we can obtain the value of b (y-intercept)

           [tex]\sf 3 = \dfrac{-1}{2}*2+b\\\\3 = -1 + b\\[/tex]

   3  +  1 = b

          4 = b

Equation:

      [tex]y =\dfrac{-1}{2}x +4[/tex]

The equation is a quadratic equation that is x + x² = 42. Then the correct option is A.

Algebra is the study of mathematical symbols and the rule involves manipulating these mathematical symbols.

The sum of a number and its square is 42.

Let x be the number. Then the square of that number will be x².

Then we have

x + x² = 42

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Answer:

a

Step-by-step explanation:

Answer:

10 meters is equivalent to 1000 cm and 0.01 kilometers

Step-by-step explanation:

Answer:

The probability of all events occurring is 1

(1/6)+p=1

p=1-1/6

p=5/6

The probability of not rolling 5 is 5/6

Or you could have just said there are five numbers other than 5 out of the six so:

5/6

it is 2 centimeters I hope that helps and I hope I'm not late

Answer: (-4, -5) in 3rd Quadrant

Step-by-step explanation: Reflection across x axis only flips the sign of y coordinate

Answer:

4

Step-by-step explanation:

[tex] \sqrt[5]{32^2} = (\sqrt[5]{32})^2 = 2^2 = 4 [/tex]

Answer:

[tex]\frac{x^{2} }{21}[/tex]

Step-by-step explanation:

1. Combine multiplied terms into a single fraction

2. Eliminate quotient in numerator

3. Multiply the numbers

Solution: [tex]\frac{x^{2} }{21}[/tex]

Answer:

When we multiply 4\7, 5\3 and 3\4, then the answer will be 5\7.

Answer:

0.1s + 125 < 180

Answer:

The answer is 3. 1. There is '0' point of intersection, that means they do not intersect. This only possible when the lined are parallel to each other.

'c' can be any real number except 4 for which the considered system would have no solution.

When both the lines(represented by both the equations) are parallel and not coincident, then that system of linear equations have no solutions as there is no common point on both line.

If they are coincident (lying over each other), then there will have infinite solution since in that case, they will have infinite points in common.

Thus, if two lines are not in any of above case, they intersect at single point and in that case, the considered system of equation has unique single solution.

If the slope of a line is m and the y-intercept is c, then the equation of that straight line is given as:

[tex]y = mx +c[/tex]

Parallel lines(non-coincident) have same slope but different y-intercept.

Converting these equations to slope-intercept form, we get:

For first line:

[tex]\dfrac{1}{2}x + \dfrac{1}{5}y = 2\\\\ \dfrac{1}{5}y = 2 - \dfrac{1}{2}x\\\\y = 10 - \dfrac{5}{2}x\\\\y = -\dfrac{5}{2}x + 2[/tex]

and

For second line:

[tex]5x + 2y = c\\\\y = \dfrac{1}{2}c - \dfrac{5}{2}x\\\\y = -\dfrac{5}{2}x + \dfrac{c}{2}[/tex]

For no-solution, we need both lines to stay parallel but not coincident so that there is no common point (solution of this system) between those two lines.

Thus, we get:

[tex]2 \neq \dfrac{c}{2}\\\\\text{Multiplying 2 on both the sides}\\\\c \neq 4[/tex]

Since 'y' assumes real numbers assumingly, so 'c' can be any real number except 4 for which the considered system would have no solution.

Below is image attached of those parallel lines when c = 10.

Thus,  'c' can be any real number except 4 for which the considered system would have no solution.

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Answer:

what you mean about circles but i do know probability

Step-by-step explanation:

conditional probability is a measure of the probability of an event occurring, given that another event has already occurred.

A poll worker analyzing the ages of voters found that μ = 65 and σ = 5. The possible voter age that would give her zx = 1.14 is 71.

In statistics, Standard deviation is a measure of the variation of a set of values.

σ = standard deviation of a population

N = number of observations of population

X = mean

μ = population mean

It is given that the random variable,

X = The ages of voters

μ = The analysis is having mean of 65

Standard deviation = 5

X = normal (65,5) Now, we will convert it into Z-score concept ,

Z = x - 65/ 5

z = 1.14

X = 65 + 5z

So, X = 65 + 5(1.14)

         = 65 + 5.7

         = 70.70

Therefore, We can also write it by rounding off the value,i.e.=71

The possible voter age that would give her zx = 1.14 is 71.

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Answer:

C, 71

Step-by-step explanation:

quiz edge

Answer:

4 , 7

Step-by-step explanation:

It worked in my app so... :)

Answer:  Median

The median is not affected by large or small outliers.

The mean on the other hand is affected by outliers. The more distant the outlier, the more skewed the mean will be.

For example, home prices will have a larger than normal mean because of very rich mansions which are far above the average group. This is why the median home price is a more useful measure of center.

Answer:

2.3 pints

Step-by-step explanation:

4.6 cups = 2.3 pints

The expression that models d, the horizontal distance in inches of the pendulum from the center as a function of time, t, in seconds is d=9cosine[(π/2)t] option second is correct.

It is defined as the number of waves that crosses a fixed point in one second, known as frequency. The unit of frequency is per second.

The pendulum takes 2 seconds to swing a horizontal distance of 18 inches from right to left.

For swing back from left to right, it takes again 2 seconds to cover a horizontal distance of 18 inches.

The total time to complete the one cycle = 4 seconds

Thus, the frequency is the reciprocal of the time

f = 1/4

The expression for the angular speed is:

w = 2πf

w = 2π(1/4)

w = π/2

The distance of the pendulum from the center A = half the horizontal                                  

                                                                                 distance of 18 inches

A = 18/2

A = 9 inches

We know the cosine function for the pendulum is given by:

d = Acosine(wt)

d = 9cosine(πt/2)  or

d = 9cosine[(π/2)t]

Thus, the expression that models d, the horizontal distance in inches of the pendulum from the center as a function of time, t, in seconds is d = 9cosine[(π/2)t]

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