WORTH 100 POINTS!
Find the common ratio and the next term for the sequence shown. Express your answers as fractions or as decimals. 333 1/3, 250, 187 1/2,

The probability of rolling a number greater than 2 and then rolling a number greater than 3 is 1/3.

The probability of rolling a number greater than 2 on a 6-sided die is 4/6 or 2/3 (since there are 4 numbers on the die greater than 2: 3, 4, 5, and 6, out of a total of 6 possible outcomes).

The probability of rolling a number greater than 3 on a 6-sided die is 3/6 or 1/2 (since there are 3 numbers on the die greater than 3: 4, 5, and 6, out of a total of 6 possible outcomes).

To find the probability of both events occurring, we multiply the probabilities:

P(rolling > 2 and then rolling > 3) = P(rolling > 2) * P(rolling > 3)

P(rolling > 2 and then rolling > 3) = (2/3) * (1/2)

P(rolling > 2 and then rolling > 3) = 1/3

Therefore, the probability of rolling a number greater than 2 and then rolling a number greater than 3 is 1/3.

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Answer:

Option B.

Step-by-step explanation:

For a function f(x), the domain is the set of all the possible values of x that can be used in the function.

We know that the natural logarithm is only defined for positive real numbers.

So, the function:

Ln(x + 2)

Works always that

x + 2 > 0

So we can just solve this inequality for x, and that will give us the domain of the function.

To isolate x, we just need to subtract 2 in both sides of the inequality.

x + 2 - 2 > 0 - 2

x > - 2

This is the domain of the function.

The correct option is B.

Answer:

b.x>-2

Step-by-step explanation:

edge 2021

Answer:

A: >

Step-by-step explanation:

I believe A because if you look at the 2 in the first first number or whatever its higher then the 0 in 0.420 And plus for the 5 in 2.510 its greater then the 4 so thats why i believe A because you always gotta read the question slowly and make sure which one is high or not but it can actually trick you sometimes but if they match its an equal so hope this helps ya^^

The smallest number of rectangles required will be  30.

Given:- The sides of the rectangle are in the ratio of 5:4

let, length=5x

breadth=4x

Area = 20x²

Area of smaller rectangle =2*3

                                           =6cm²

Now, take numbers which are in the ratio of 5:4;

suppose, Case 1=10:8

                 Case2 = 15:12

For Case 1;

number of rectangles needed =10*8/2*3

                                                     =13.3333

This means it is overlapping hence, not possible.

For Case 2;

number of rectangles needed=15*12/2*3

                                                  =30

therefore, the smallest number will be 30.

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The equation of the line perpendicular to the line QR in slope intercept is y= \(\frac{1}{2}x+\frac{7}{2}\).

Given,

x+2y=2

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

Slope = -1/2 = \(m_{1}\)

Let Slope of line perpendicular to line x+2y=2 is \(m_{2}\)

⇒  \(m_{1}\) *    \(m_{2}\) = -1

Then \(m_{2}\) = 1/2

Equation of line perpendicular is given by

\(y = \frac{1}{2}x + c\)

Since it contains point (5,6)

6 = \(\frac{1}{2} (5) + c\)

c= \(\frac{7}{2}\)

Then the equation of line is:

\(y = \frac{1}{2}x+ \frac{7}{2}\).

Therefore, the equation of the line perpendicular to the line QR in slope intercept is y= \(\frac{1}{2}x+\frac{7}{2}\).

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Answer:2W + 2L = P

P is at most 112.......< or = 112

L = 3W

answer is :

2W + 2(3W) < = 112 (thats less then or equal)

Step-by-step explanation:

16 percentage of the unknown number is 73.6

To solve the problem, we can use the relationship between percentages and multiply/divide by factors of 100.

Let's start by finding the whole number that corresponds to 1% of the unknown number

1% of the number = 4.6

100 times 1% of the number = 100 x 4.6

Whole number corresponding to the unknown number = 460

We can now use this value to find 5% of the unknown number:

5% of the number = 5/100 x the number = (5/100) × 460 = 23

So we have confirmed that the number we found is correct.

Finally, to find 16% of the number, we can use the same approach

16% of the number = 16/100 x the number = (16/100) × 460 = 73.6

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Answer:

The penalty for not voting in New South Wales is a $55 fine. You must respond within 28 days of the issue date of the notice. You will have four options: If you voted, you can provide details of where and when using our non-voter self-service portal.

Answer:

DG

Step-by-step explanation:

This is a rectangular prism.  BE & AH are also parallel to CF. but they r not in the answers.

Answer:

$442.40

Step-by-step explanation:

14x2=28

21x2=42

42+28=70

70x6.32=442.4

a) Per unit labor cost in the United States is $1.20.

b) Per unit labor cost in China is $0.75.

c) The company should locate its production facility in China to minimize per unit labor costs as it is lower than in the United States.

a) The per unit labor cost in the United States can be calculated as follows:

Per unit labor cost = Hourly wage rate / Productivity per hour

= $24 / 20 units per hour

= $1.20 per unit of labor

b) The per unit labor cost in China can be calculated as follows:

Per unit labor cost = Hourly wage rate / Productivity per hour

= $3 / 4 units per hour

= $0.75 per unit of labor

c) If a company's goal is to minimize per unit labor costs, the production facility should be located in China because the per unit labor cost is lower than in the United States. Therefore, China's production costs would be cheaper than those in the United States.

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The null hypothesis is that the proportion of people who would still vote for the government of Preon is still 67%, while the alternative hypothesis is that the proportion has changed from 67%.

The null hypothesis (H0) is that the proportion of people who would still vote for the government of Preon is still 67%, as it was at the last election.

The alternative hypothesis (H1) is that the proportion of people who would still vote for the government of Preon has changed from 67%, either increased or decreased.

In symbols, this can be written as:

H0: p = 0.67

H1: p ≠ 0.67

Where p is the proportion of people who would vote for the government of Preon in the upcoming election.

Note that the alternative hypothesis is two-tailed, indicating that the proportion could have either increased or decreased from 67%.

This is because the government suspects that their approval rating may have changed in either direction.

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Answer:

IT'S D

Step-by-step explanation:

LOOK AT THE PATTERN AND YOU WILL UNDERSTAND.

Answer:

ii honestly think d

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

Find 26% of 50 by doing

.26 * 50

resulting in 13

The requirements for a given year to be a leap year are the year must be divisible by 4, if the year is divisible by 100, it is not a leap year, unless it is also divisible by 400.

In the Gregorian calendar, a leap year is a year that has 366 days instead of the usual 365 days. The reason for this is to account for the fact that the Earth takes slightly longer than 365 days to orbit the Sun.

This system of leap years helps to keep our calendar in synchronize with the astronomical year and ensure that seasonal events, such as the solstices and equinoxes, occur at approximately the same time each year.

For example, 1900 was not a leap year because it is divisible by 100 but not by 400, while 2000 was a leap year because it is divisible by both 100 and 400.

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Given parameters:

First point  = (12, -5)

Second point  = (10, -4)

Unknown:

Slope of the line = ?

Slope is simply the vertical rise divided by the horizontal distance.

             Slope  = \(\frac{Rise }{horizontal distance}\)

Simply to find slope;

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

First point  = (12, -5), x₁  = 12 and y₁  = -5

Second point  = (10, -4), x₂  = 10 and y₂  = -4

Input the parameters:

       Slope  =  \(\frac{-4 -(-5)}{10 - 12}\)

                  = \(\frac{-4 + 5}{-2}\)

                  = - \(\frac{1}{2}\)

The slope of the line is -\(\frac{1}{2}\)

Answer:

Step-by-step explanation:

Terms           Coefficient

7p                    7

-6z                    -6

-80                  constant term

Answer:

Step-by-step explanation:

 \(\frac{2-5}{9-2}\) =\(\frac{-3}{7}\)x is the slope intercept form

$1.81 (option D)

The cost of Skullcandy earbuds = $24.95

sale tax = 7.25% = 0.0725

Tax = The cost of Skullcandy earbuds × sales tax

Tax = 24.95 × 0.0725

Tax = 1.8089

Tax he paid for the earbuds = $1.81 (option D)

Answer:

The outcomes are {1nor} , {2nor}, {3nor}, {4nor}, {5nor}, {6nor}, {7nor}, {8nor}, {9nor}

Step-by-step explanation:

The outcomes are {1nor} , {2nor}, {3nor}, {4nor}, {5nor}, {6nor}, {7nor}, {8nor}, {9nor}

Reason-

0 can not be possible because if 0 is the first digit then , it will become the 3-digit password , not 4-digit

Answer:16ft

√256=16ft

length=16ft

Answer:

0.7

Step-by-step explanation:

13/19 as a decimal rounded to the nearest tenth.

13/19 = 0.68421...

rounded:

= 0.7

Answer:

0.684

Step-by-step explanation:

13/19

= 13 ÷ 19

= 0.68421052631579

=0.684

Answer:

Step-by-step explanation:

-14k-14 Answer

Step-by-step explanation:

5(−3.4k−7)+(3k+21) this is the same as:

(5*-3,4)k-(5*7)+3k+21

-17k-35+3k+21

Grouping terms of k:

(-17+3)k-35+21

-14k-14

Answer:

-14k - 14

Step-by-step explanation:

5(−3.4k − 7) + (3k + 21) =

= -17k - 35 + 3k + 21

= -14k - 14

Answer:

about 24.38 feet

Step-by-step explanation:

Graphing window: [0, 30] by [-20, 160]

y1 = 20 + 2x + √(400 + 4x^2)

y2 = 1.6(20 + x + √(400 + x^2))

y1 = y2 when x = 24.3798.

So the length of the smaller garden's longer leg is about 24.38 feet.

Answer:

  (X_1, X_2) = (2, 4)

  Z = 110

Step-by-step explanation:

You want a graphical solution to ...

  minimize Z = 15 X_1 +20 X_2

  subject to ...

A graph of the reverse of the inequalities is attached. This makes the feasible solution region be white (rather than shaded multiple times), so its vertices are easier to see. (The dashed lines are part of the solution space.)

The vertex of the solution space that minimized the objective function is (X_1, X_2) = (2, 4). The minimum value of Z is 110.

Answer:

(323)(2)=7 1/3

(Decimal: 7.333333)

Step-by-step explanation:

Answer:

7 \(\frac{1}{3}\)

Step-by-step explanation:

\(3 \frac{2}{3}\)  × 2

\(\frac{11}{3}\)  × 2

\(\frac{11}{3}\) × \(\frac{2}{1}\) = \(\frac{22}{3}\)

\(\frac{22}{3} = 7 \frac{1}{3}\)

The total area of the painting and frame is 248 inches squared.

Area is the size of a two-dimensional surface, typically defined by its length and width. It is an important concept in mathematics and is used to measure different shapes and figures. Area is also commonly used to measure the size of land, such as a city block or a region of a country. Areas can be measured in square meters, square kilometers, hectares, square feet, and many other units. Knowing the area of a shape or space can be helpful when planning a project or understanding how much space something requires.

Using the given equation, \(f(x) = x2 + 14x + 40\), we can solve for the area of the painting and frame.

\(f(x) = x2 + 14x + 40\)

\(f(x) = (x + 6)2 + 2(x + 6)(2) + 2(2)(2)\)

\(f(x) = x2 + 12x + 36 + 4x + 24 + 16\)

\(f(x) = x2 + 16x + 56\)

We are told that the longer side of the frame is 14 inches long, so x = 8.

\(f(8) = 8^2 + 16(8) + 56\)

\(f(8) = 64 + 128 + 56\)

\(f(8) = 248 \ \text{in}^2\)

Therefore, the total area of the painting and frame is 248 inches squared.

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To verify whether the languages of two regular expressions r and s are equal, we can follow these steps:

Construct the finite automata for r and s.

Convert both the finite automata to their corresponding deterministic finite automata (DFA).

Minimize the DFAs obtained in step 2.

Compare the minimized DFAs to check if they are equivalent.

If the DFAs are equivalent, then the languages of r and s are also equal.

Alternatively, we can directly compare the regular expressions r and s by using the following algorithm:

Convert both r and s to their equivalent minimal deterministic finite automata (DFA).

Construct the product DFA of the two DFAs obtained in step 1.

Check if the accepting states of the product DFA correspond to the same regular expressions in r and s.

If the accepting states correspond to the same regular expressions, then l(r) = l(s). Otherwise, l(r) ≠ l(s).

Note that the above algorithm may not be efficient for larger regular expressions, and in such cases, constructing the minimal DFAs may be a more practical approach.

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