During summer vacation, Dwayne read, on average, 8 pages per night. Once he returned to school, he averaged 2 pages per night. What is the percent of decrease in Dwayne's reading?

In the theater, that have 1,464 seats.

1426 seats are in "regular" sections

38 seats are  "premium" front-row section

The seat arrangement is solved by division. In this case the 62 equal spaced is the divisor while the number of seats is the in each row is the quotient

The division is as follows

1464 / 62

= 23 19/31

The number of seats in the regular section is 23 * 62 = 1426

The remainder will be arranged in premium front row

using equivalent fractions

19 / 31 = 38 / 62

the remainder is 38 and this is the seat for the premium front row section

OR 1464 - 1426 = 38 seats

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Answer:

  22. x = 0.228 or 8.772

  24. x = -0.869 or 1.535

Step-by-step explanation:

The solutions are all irrational, so it would be tedious arriving at a solution using tables. I prefer a graphing calculator for this.

The first attachment shows the problems with graphs of left-side and right-side expressions. The points of intersection are the solutions.

The second attachment shows the difference of the two sides of the equation. The x-intercepts of that difference are the solutions. The graph also shows the vertex of the quadratic, which lets you write down the exact solution. For y = a(x -h)^2 +k, the solutions are x = h ±√(-k/a) where (h, k) is the vertex and 'a' is the leading coefficient of the quadratic.

__

22. x = 0.228 or 8.772

  graphs in first attachment are red and orange

  graph in second attachment is black

  x = 4.5 ± √18.25

__

24. x = -0.869 or 1.535

  graphs in first attachment are blue and purple

  graph in second attachment is red ('a' = 3)

  x = (1 ±√13)/3

The summation of the present values (year 0 value) of FCFs in Year The correct option is C. 1710.

The present value of a future cash flow is the amount of money that would have to be invested today at a given interest rate to produce the future cash flow.

In this case, the interest rate is 2%, and the future cash flows are $1000 in year 1, $1100 in year 2, and $1210 in year 3. The present value of these cash flows is calculated as follows:

Present value = (Future cash flow 1 / (1 + Interest rate)^1) + (Future cash flow 2 / (1 + Interest rate)^2) + (Future cash flow 3 / (1 + Interest rate)^3)

= (1000 / (1 + 0.02)^1) + (1100 / (1 + 0.02)^2) + (1210 / (1 + 0.02)^3)

= 1710

This is rounded to 2 decimal places.

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The summation of the present values (year 0 value) of FCFs in Year. So, the correct option is C. 1710.

The present value of a future cash flow is the amount of money that would have to be invested today at a given interest rate to produce the future cash flow.

In this case, the interest rate is 2%, and the future cash flows are $1000 in year 1, $1100 in year 2, and $1210 in year 3. The present value of these cash flows is calculated as follows:

Present value = (Future cash flow 1 / (1 + Interest rate)^1) + (Future cash flow 2 / (1 + Interest rate)^2) + (Future cash flow 3 / (1 + Interest rate)^3)

= (1000 / (1 + 0.02)^1) + (1100 / (1 + 0.02)^2) + (1210 / (1 + 0.02)^3)

= 1710

This is rounded to 2 decimal places.

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The volume of the block after cutting the smaller cubes is:

volume = 56/125 \(cm^{3}\)

What is volume?

Volume is a mathematical term that describes how much three-dimensional space an object or closed surface occupies.

The formula to calculate the volume of the cube is given by:

Volume = \(a^{3}\), where a is the length of its sides or edges

Length of solid wooden cube= \(\frac{4}{5} cm\)

Length of smaller wooden cube= \(\frac{1}{3} cm\)

Volume of the large cube = \((\frac{4}{3} )^{3}\)

Volume of the large cube = \(\frac{64}{125} cm^{3}\)

Volume of the small cube = \(\frac{1}{5} cm^{3}\)

Volume of the small cube = \(\frac{1}{125} cm^{3}\)

Volume of block after cutting out the smaller cubes is

                = \(\frac{64}{125} -\frac{(8)(1)}{125}\)

                = \(\frac{64-8}{125}\)

                =\(\frac{56}{125}\)\(cm^{3}\)

Hence, the volume of the block after cutting the smaller cubes is:

volume = 56/125 \(cm^{3}\)

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Answer:

B works it satisfies the equation to both 1 ⅔ i = 1 ⅔ i

Answer:

125 pages

Step-by-step explanation:

seu =125 pages

sal =128pages

Steve =122

average = (125+128+122 )/3

=375/3

= 125

average =125 pages

Answer:

Hello! The answer for ur question is unavailable

Answer:

yay

Step-by-step explanation:

Answer:

B. 183

Step-by-step explanation:

m<L = (1/2)[m(arc)KN - m(arc)KM)]

35 = (1/2)(177x - 107x)

70 = 70x

x = 1

m(arc)KN = 177x = 177

m(arc)NMK = 360 - m(arc)KN

m(arc)MNK = 360 - 177

m(arc)MNK = 183

8.1^4 x 8.1^8 will be equal to 8.1^12. But, 8.1^12 will not be equal to 8.1^6.

Some laws of exponents are:

We are given:

8.1^4 x 8.1^8

We need to check if 8.1^4 x 8.1^8 be equal to 8.1^12 and if 8.1^12 be equal to 8.1^6.

We will use laws of exponents to solve the given expression:

8.1^4 x 8.1^8 = 8.1^(4 + 8) = 8.1^12

So, 8.1^4 x 8.1^8 = 8.1^12

Also,

8.1^12 = 8.1^(2 * 6) = (8.1^2)^6

So, 8.1^12 ≠ 8.1^6.

Thus, 8.1^4 x 8.1^8 will be equal to 8.1^12. But, 8.1^12 will not be equal to 8.1^6.

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The given function is f(x) = 15(1.02)^x, where x is the number of years from the date at which money is initially deposited.

This means that $15 were initially deposited into the account, and the amount grows at an annual rate of 2% (which is represented by 1.02 being raised to the power of x).

Therefore, the correct answer is: $15 were initially deposited into the account, which grows at an annual rate of 2%.

Hope I helped you...

Answer:

43.982 or 44 (depends if your teacher wants it rounded or not)

Step-by-step explanation:

C=2(pi)r (I don't know how to type the pi symbol, my apologies)

The radius is the diameter divided by 2

Radius = 14/2 = 7

Radius = 7

Circumference = 2 times pi times 7

Circumference = 43.982

The rounded-up answer would be 44.

Have a great day :)

Answer:

x³ - y³ = 0

Step-by-step explanation:

Given : \(\frac{x}{y}+\frac{y}{x}=-1\)

To Find : value of (x³ - y³)

Since, \(\frac{x}{y}+\frac{y}{x}=-1\)

\(\frac{x^2+y^2}{xy}=-1\)

x² + y² = -xy

x² + y² + xy = 0 -----(1)

Since, x³ - y³ = (x - y)(x² + xy + y²) [From the formula, (a³ - b³) = (a -b)(a²+ b² + ab)

                     = (x - y)(0) {From equation (1)]

                     = 0

Therefore, value of x³ - y³ = 0 will be the answer.

Answer:

Al 8

Step-by-step explanation:

The minute hand is pointing to 20 minutes later at the number 8.

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

The minute hand is pointing to the 4.

Now,

Since, The minute hand is pointing to the 4.

Hence, The value of number after pointing to 20 minutes later is,

We know that;

Every 5 minutes gives 1 point.

⇒ 20 / 5

⇒ 4

Thus, The minute hand is pointing to 20 minutes later is,

⇒ 4 + 4

⇒ 8

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Answer:

54 inches

Step-by-step explanation:

First, let's convert the measurements into a common measurement.

Since inch is the smallest measurement here, let's use that.

Ella's pet snake is 42 inches long.

Roya's pet snake is 8 feet long. There are 12 inches in one foot. Therefore, 8 feet would mean 12 times 8 or 96 inches.

Therefore, Roya's snake is 96 inches long.

To find out how many inches longer is Roya's snake, subtract:

96 - 42 = 54.

Therefore, Roya's snake is 54 inches longer than Ella's.

The number of minutes will it take him to mow the entire yard will be 50 minutes.

A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.

Dad mowed 60% of the yard in 30 minutes.

Let 'A' be the entire area of the lawn and 'x' be the total time to mow the entire lawn. Then 60% of the lawn is given as,

⇒ 60% of A

⇒ 0.60A

The ratio of the area of the lawn to time remains constant. Then the equation is given as,

0.60A / 30 = A / x

x = 30 / 0.60

x = 50 minutes

The number of minutes will it take him to mow the entire yard will be 50 minutes.

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Answer:

For

 y = (x^2 -4)/((x +2)(x^2 -49))

the numerator factors to (x -2)(x +2), so the factor of (x +2) will cancel with that in the denominator, leaving

 y = (x -2)/(x^2 -49)

There are points of discontinuity at the hole, x=-2, and at each of the vertical asymptotes, at x=-7, +7.

The horizontal asymptote is y=0.

Step-by-step explanation:

Answer:

Imma be honest here. I'm just answering so the other person can get brainliest

Step-by-step explanation:

The answer that describes the polygon RSTU is as follows:

A quadrilateral is a polygon with 4 sides. Therefore, let's use the properties to find the name of the shape  RSTU as follows:

The polygon has 4 sides therefore, it is a quadrilateral.

The quadrilateral has opposite side parallel to each other. The opposite sides are RS and TU.

A trapezoid is a quadrilateral with only one pair of opposite side parallel to each other.

Therefore, the shapes that defines the polygon are as follows:

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x=5

y= 7.07

.......................................

Answer:

x=5 y=7.07

Step-by-step explanation:

hope it helps you out

The Large blizzard has the lowest cost per ounce at $ 0.31125/oz

Given data ,

To determine the best price per ounce for Dairy Queen blizzards, we can calculate the cost per ounce for each size option:

Small: 6 oz. for $2.49 ->

Cost per ounce = $2.49 / 6 oz. = $0.415/oz.

Large: 16 oz. for $4.98 ->

On simplifying the equation , we get

Cost per ounce = $4.98 / 16 oz. = $ 0.31125/oz.

Medium: 10 oz. for $3.49 ->

Cost per ounce = $3.49 / 10 oz. = $0.349/oz.

Super Size: 24 oz. for $7.69 ->

On simplifying the equation , we get

Cost per ounce = $7.69 / 24 oz. = $0.32042/oz.

Comparing the cost per ounce for each size option, we can see that the Small blizzard has the highest cost per ounce at $0.415/oz. The Large blizzard has the lowest cost per ounce at $ 0.31125/oz.

Hence , the Large blizzard gives you the best price per ounce among the options provided.

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Answer:

Solution is in attached photo.

Step-by-step explanation:

Do take note for this question, since PQ and RS are parallel, they have the same slope.

Answer:

Step-by-step explanation:

Answer:

The answer is C. 60(-4) = -240

Step-by-step explanation:

First, let's eliminate some of the choices. A doesn't make sense since negative times a negative equals positive. Secondly, how can 60.4 equal 240 when 60.4 is less than 240? Furthermore, D doesn't make sense since positive times a negative equals negative.

Here is a rule for you to remember:

When multiplying two integers with different signs, the product is always negative; when multiplying two integers with the same sign, the product is always positive.

Evaluating all possible values of a variable in a model is called a sensitivity analysis.

A sensitivity analysis is a technique used to assess the impact of changes in the values of input variables on the output or outcome of a model or system. It involves systematically varying the values of the variables within a defined range and observing the corresponding changes in the model's output.

The purpose of a sensitivity analysis is to understand how sensitive the model is to changes in the input variables and to identify which variables have the most significant influence on the model's results.

During a sensitivity analysis, different scenarios are created by varying one or more input variables while keeping others constant. By examining the resulting changes in the model's output, analysts can gain insights into the relationships and dependencies between the variables and assess the robustness of the model's predictions or decisions.

Sensitivity analysis helps in understanding the potential risks, uncertainties, and limitations associated with the model, and can aid in decision-making and improving the model's performance by identifying critical variables that need to be carefully monitored or controlled.

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New car prices to fall within is $18,300 - $41,900

Interval of prices would we expect at least 95% of new car prices to fall within Suppose that the average price for new cars has a mean of $30,100, a standard deviation of $5,600 and is normally distributed. Based on this information, the interval of prices that we would expect at least 95% of new car prices to fall within is $18,300 - $41,900.How to solve the problem? We know that the average price of new cars is $30,100 and the standard deviation is $5,600. The normal distribution has 95% of the data points within two standard deviations of the mean. Therefore, the interval of prices that we would expect at least 95% of new car prices to fall within is given by:Lower limit: $30,100 - 2 × $5,600 = $18,300Upper limit: $30,100 + 2 × $5,600 = $41,900Thus, the interval of prices that we would expect at least 95% of new car prices to fall within is $18,300 - $41,900.

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The mean absolute deviation of the given data set is 2.5.

The average distance between each data item and the mean is known as the mean absolute deviation.

The gap between each data value and the mean in absolute terms is represented by this average.

First, we'll find the mean of the given data set which is,

= (8 + 4 + 8 + 8 + 10 + 2 + 4 + 4)/8.

= 48/8.

= 6.

The mean of the given data is 6.

Now, the distance between each data and mean is,

| 8 - 6 | = 2.

| 4 - 6 | = 2.

| 8 - 6 | = 2.

| 8 - 6 | = 2.

| 10 - 6 | = 4.

| 2 - 6 | = 4.

| 4 - 6 | = 2.

| 4 - 6 | = 2.

∴ The mean absolute deviation is,

= (2 + 2 + 2 + 2 + 4 + 4 + 2 + 2)/8.

= 20/8.

= 2.5.

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Answer: It is 21 hope I'm right