- x\3 ≥ 5 help pls?
solve the inequality

The correct statements are Neither was correct and Joe used the height and radius to calculate the slant height.

The square inches of paper needed A = surface area of cone +  area of overlap

The surface area of the cone is given by A = πr[r + √(h² + r²)] where

So, A = πr[r + √(h² + r²)]

A = π × 2 × [2 + √(6² + 2²)]

A = π × 2 × [2 + √(36 + 4)]

A = π × 2 × [2 + √40]

A = π × 2 × [2 + 2√10]

A = 2π[2 + 2√10]

A = 4π + 4π√10

The area of overlap A' = wL where

So, A' = wL

A' = w[√(h² + r²)]

A' =  1/2[√(6² + 2²)]

A' =  1/2[√(36 + 4)]

A' =  1/2[√40]

A' =  1/2 × 2√10

A' = √10

So, the number of square inches of paper needed is A" = A + A'

=  4π + 8π√10 + √10

Since the number of square inches of paper needed is 4π + 4π√10 + √10

So, the correct statements are Neither was correct and Joe used the height and radius to calculate the slant height.

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Answer:

The coordinates of k are (-2,-1)

Step-by-step explanation:

Here, we are interested in calculating the coordinates of point k.

Mathematically, we will use the internal division formula for this;

This would be;

(x,y) =( nx1 + mx2)/(m + n), (ny1 + my2)/(m + n)

where m = 1 , n = 4

x1 = -2 , x2 = 8

y1 = -4 , y2 = 11

we now make the substitutions into the formula;

(x,y) = 4(-2) + 1(-2)/(1+4) , 4(-4) + 1(11)/(4 + 1)

(x,y) = (-8-2)/5 , (-16 + 11)/5

(x,y) = -10/5 , -5/5

(x,y) = (-2, -1)

Answer:

Step-by-step explanation:

the product of two and a number x is 2•x

so the sum of seven and the product of two and a number x is:

7 + 2x

The restaurant has a table utilization rate of 12.02%.

On average, 1223 customer groups were served during the evening shift.

The average wait time for customer groups before being seated is 19.36 minutes.

On average, 37 customer groups reneged, accounting for 2.94% of all arrivals.

Adding additional tables is worthwhile, as the net profit per hour increases from $36,135 to $53,247.

Customers arrive at a rate of 50 groups per hour.

Customers wait for a Triangular (5, 15, 40) minutes before leaving.

The restaurant has 30 tables.

Service time for each group is approximately NORM(70, 15) minutes.

No groups are seated after 8:30 pm.

Status plots show the number of tables in use and the number of reneging customers.

30 replications of an evening shift from 5 pm to 10 pm are run.

A) % utilization of the tables: The % utilization is 12.02%.

B) Average number of customer groups served: 1223.

C) Average wait time for customer groups before being seated: 19.36 minutes.

D) Average number of customer groups that reneged: 37, representing 2.94% of all arrivals.

E) Adding an additional table is worthwhile, as the net profit per hour is $53,247 compared to the current profit per hour of $36,135.

In summary, the % utilization of tables is 12.02%, with an average of 1223 customer groups served over the evening shift. The average wait time is 19.36 minutes, and 37 customer groups reneged, representing 2.94% of all arrivals. Adding an extra table is justified by the increased net profit per hour

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Therefore , the solution of the given problem of percentage comes out to be the total amount of water is 100 ounces.

Any value that may be expressed as a fraction of 100 is referred to as a percentage in mathematics. The acronyms "pct.," "pct," or "pc" are also occasionally used. However, the "%" symbol is usually used to signify it. The proportional amount has no dimensions and is flat. Percentages can be viewed as fractions because their numerator is 100. To indicate that a number is a percentage, the percent symbol (%) must be used after the number.

Here,

Every day, Leilani consumes a total of 70 ounces of water. This implies that she consumes a total of 70 ounces of liquid every day before and after the ride.

She downs 14 ounces of water before her morning ride to be hydrated.

We would divide the quantity she drinks prior to the bike by the entire amount of water she consumes each day, then multiply the result by 100 to get the percentage of her daily water intake that she has before the ride. It develops

=> 14/70 × 100 = 20%\s=> 20

Thus, 20 equals 100 ounces of water in total.

As a result, the answer to the given 20-ounce problem is that there are 100 ounces of water in all.

Therefore , the solution of the given problem of percentage comes out to be the total amount of water is 100 ounces.

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If the incident light changes from a wavelength of 630 nm to 420 nm, the fringe spacing will decrease, resulting in fringes that are closer together.

In a double-slit experiment, when light passes through two narrow slits and hits a viewing screen, interference patterns are observed. The fringe spacing, also known as the separation between adjacent bright fringes, is determined by the wavelength of the incident light. The formula for calculating fringe spacing is given by:

Fringe Spacing = (wavelength * distance from slits to screen) / distance between the slits

Given that the fringe spacing is initially 1.8 mm when the incident light has a wavelength of 630 nm, we can use the formula to calculate the new fringe spacing when the light wavelength changes to 420 nm. Since the distance from the slits to the screen and the distance between the slits remain constant, the only variable that changes is the wavelength. As the wavelength decreases, the fringe spacing will also decrease. Therefore, the fringe spacing will be smaller when the light wavelength is 420 nm compared to when it is 630 nm.

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The 95% confidence interval for the population mean SAT score is given as follows:

(1340, 1460).

The confidence interval is calculated using the t-distribution, as the standard deviation for the population is not known, only for the sample.

The bounds are obtained according to the equation defined as follows:

\(\overline{x} \pm t\frac{s}{\sqrt{n}}\)

In which the variables of the equation are presented as follows:

In the context of this problem, the values of these parameters are given as follows:

\(\overline{x} = 1400, n = 64, s = 240\)

The critical value, using a t-distribution calculator, for a two-tailed 95% confidence interval, with 64 - 1 = 63 df, is t = 1.998.

Then the lower bound of the interval is of:

1400 - 1.998 x 240/sqrt(64) = 1340.

The upper bound of the interval is of:

1400 + 1.998 x 240/sqrt(64) = 1460.

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Answer:

162

Step-by-step explanation:

3 teams of 4 players each means 12 players altogether.

1. Shaking hands with people of other teams.

Let's call the teams A, B, and C.

1 player of team A shakes hands once with 8 players of teams B and C.

That is 8 hand shakes.

Now each of the other 3 players in team A does the same. That is another 3 × 8 handshakes, or 24 more. So far there are 32 handshakes.

For all players of 1 team to handshake once with each player of the other teams, there are 32 handshakes.

Since there are 3 teams, now the player of team B do the same. This is another 32 handshakes. The players of team C do the same. Another 32 handshakes.

3 × 32 = 96

Since each handshake involves two people, player 1 shaking hands with player 2, and player 2 shaking hands with player 1 is the same handshake, so we must divide 96 y 2 to eliminate the duplicate handshakes.

96/2 = 48

48 is the number of handshakes between each player and the players of the other teams if they shake hands only once, but since when they shake hands with players of other teams, they shake hands 3 times, then we multiply 48 by 3.

48 × 3 = 144

The number of handshakes that take place between a player and the players of other teams is 144.

2. Shaking hands with players of the same team.

Each team has 4 players. Each of the 4 players shakes hands with 3 other players.

4 × 3 = 12, but since each handshake is between two players, and player 1 handshaking player 2 is the same as player 2 handshaking player 1, we divide 12 by 2 to get 6. Within a team, there are 6 handshakes. There are 3 teams, so 3 × 6 = 18.

The number of handshakes that take place within the teams is 18.

Total

144 + 18 = 162

Answer:

6 6(4a ⋅ 2) = 6 ⋅ 4a

Step-by-step explanation:

I think it is but i am not sure

Answer:

D

Step-by-step explanation:

6(4a ⋅ 2) = (6 ⋅ 4a) ⋅ 2

Area of triangle:-

Area of rectangle (Including semicircle)

Area of semicircle

TOTAL area:-

Answer:

231.48 cm²

Step-by-step explanation:

Formulae

Area of a rectangle = width × length

Area of a triangle = 1/2 × base × height

Area of a semicircle = 1/2 πr²

To find the shaded area:

Find the area of the rectangle. Subtract the area of the semicircle from the rectangle. Add this to the area of the triangle.

Area of the rectangle:

= 12 x 21

= 252 cm²

Area of the semicircle:

= 1/2 π(12 ÷ 2)²

= 1/2 · 3.14 · 6²

= 1/2 · 3.14 · 36

= 56.52 cm²

Area of the triangle:

= 1/2 x 6 x 12

= 36 cm²

Shaded area:

= area of rectangle - area of semicircle + area of triangle

= 252 - 56.52 + 36

= 194.48 + 36

= 231.48 cm²

This is very true for a function that is continuous.

Answer:

x^2 + 2x + 1

Step-by-step explanation:

Divide the original equation by 3x-1

Answer:

III

Step-by-step explanation:

the answer would be the third one because if you divided the three numbers by 3 then they will be 3,5,4 which is a type of right angled triangle...you can also check it with pythagoras theorm.

Answer:

I and III

Step-by-step explanation:

How to tell if a triangle is a right triangle with given sides : If a and b are measures of the shorter sides of a triangle, c is the measure of the longest side, and c2 = a2 + b2, then the triangle is a right triangle. If c2 ≠ a2 + b2, then the triangle is not a right triangle. let us see some example problems based on the above concept.

To determine if the triangle is a right triangle, we use the Pythagorean theorem to test or see if the data agrees. We do as follows: c² = a² + b². 10² = (5√3)² + 5². 100 = 75 + 25. 100 = 100. Therefore, the triangle with the given measurements is a right triangle.

21² + 21² = 29²

and

9² + 12² = 15²

The statement "the San Gabriel Mountains are 60 miles lengthy, 24 miles wide, and more or less 10,000 feet high (at their highest)" is true.

The San Gabriel Mountains are a mountain range positioned in Southern California, walking east-west across los angeles County. They stretch for approximately 60 miles from the Cajon bypass inside the east to the San Fernando Valley inside the west and are around 24 miles wide.

The best peak within the range is Mount San Antonio, also referred to as Mount Baldy, that is kind of 10,000 ft high. The San Gabriel Mountains are a famous destination for out of doors sports consisting of hiking, camping, and snowboarding, and are an vital supply of water for the los angeles place.

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We have a sample of x=weights with the following data:

• Min = 107

• Q1(x) = 197

• Median(x) = 264

• Q3(x) = 312

• Max(x) = 426

1) The percent of the chicks weight more than 197, this is the value of the Q1. The quartile 1 represent the value of x that the 25% of the sample has a value less o equal to that.

So the percent of chicks that have a weight greater than 197 is 75%.

2) For the weight more than 264, correspond to the Median, so the 50% of sample has a weight lower or equal 264, and the other 50% has a weight greater or equal to 264.

So, the percent is 50%.

3) The weight of 312 correspond with Q3, so the 75% of the sample has a weight less or equal to 312, and the other 35% has a weight greater than 312.

So, the percent is 25%.

4) The weigth are the percentil Q1 and Q3, respectively. So the percent of chicks that have a weigth between 197 and 312 is 75%-25% = 50%

Answer:

433

Step-by-step explanation:

i hope i helped<3

1 - According to the conjugate zeros theorem if a complex number is the root of a polynomial its conjugate is a root as well.

2 - So the conjugates of i, -7i would be

-i, 7i, so

-i , 7i would ALSO be roots of the polynomial according to the conjugates zeros theorem and those are the two roots we were missing.

y=-1/3x+5 is the required equation of line that passes through the point (9, 2) and has a y-intercept of (0,5).

A straight line's general equation is y = mx + c, where m is the gradient and y = c is the value at which the line intersects the y-axis. This value c is known as the y-axis intercept. A straight line's equation is y=mx+c. y = m x + c The gradient is denoted by m, and the height at which the line crosses the y axis, commonly known as the y -intercept, is denoted by c. These lines are expressed as y = mx + b, where m represents the slope and b represents the y-intercept. Because we know from the question that our slope is 3 and our y-intercept is -5, we can calculate the equation of our line as y = 3x - 5.

Here,

The slope intercept of line,

y=mx+b

y-intercept=(0,5)

b=5

y=mx+5

(x1,y1)=(9,2)

(x2,y2)=(0,5)

m=(y2-y1)/(x2-x1)

m=(5-2)/(0-9)

=3/-9

m=-1/3

y=-1/3x+5

The necessary equation of a line that goes through the point (9, 2) and has a y-intercept (0,5) is y=-1/3x+5 .

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In an MDP (Markov Decision Process), the following statements are true:

The optimal policy for a given state s is unique.

The problem of determining the value of a state is solved recursively by the value iteration algorithm.

The optimal policy for a given state in an MDP refers to the best course of action to take from that state in order to maximize expected rewards or outcomes. This policy is unique because, given a specific state, there is a single action or set of actions that yields the highest expected value.

The value iteration algorithm is a dynamic programming method used to determine the value of each state in an MDP. It starts with an initial estimate of the state values and then iteratively updates them until convergence. This recursive process involves considering the immediate rewards and expected future rewards obtained by transitioning from one state to another, following the optimal policy. Through this algorithm, the values of states are refined and converge to their optimal values.

The third statement, "V* (s) = 25, T (s, a, s') [R (s, a, s') + yV* (s')]," represents the equation for calculating the value function V*(s) of each state in an MDP. It states that the value of a state is determined based on the transition probabilities T(s, a, s'), immediate rewards R(s, a, s'), discount factor y, and the value of the next state V*(s'). This equation allows us to compute the value of a state by considering the expected rewards and future values.

The fourth statement, "Q* (s, a) = ∑T (s, a, s') [R (s, a, s') + yV* (s')]," represents the equation for calculating the action-value function Q*(s, a) in an MDP. It calculates the expected value of taking action a in state s, considering the transition probabilities, immediate rewards, discount factor, and the value of the next state. However, the specific notation given in the statement, with "2,," is incomplete or incorrect, making it an invalid equation.

In summary, the optimal policy for a given state in an MDP is unique, and the value of each state is determined recursively using the value iteration algorithm. The value function V*(s) and the action-value function Q*(s, a) play key roles in evaluating the expected rewards and future values in an MDP.

Answer:

9 + 1.34 + 1 2 (3.50 +1.74) = 73.22

Step-by-step explanation:

add what is inside the parenthesis

9 + 1.34 + 1 2 (5.24)

multiply what is inside the parenthesis by 12.

9 + 1.34 + 62.88

Add all the numbers

73.22

Answer:

B

Step-by-step explanation:

im just smart

Answer:

Im Sure its A

Step-by-step explanation:

Answer: x −x  3  +x  2  +623x−2

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Step-by-step explanation:

Answer:

Each small bag cost $8.5

Step-by-step explanation:

25-4=21

239.75-61.25=178.5

178.5/21=8.5

The building is approximately 19.1 meters tall.

We have,

Let's call the height of the building "h".

From the person's perspective,

The building and the ground form a right triangle.

Let's call the distance between the person and the building "d".

Using trigonometry.

tan(66°) = h / d

And

tan(21°) = (h - 2) / d

We can rearrange the first equation.

d = h / tan(66°)

We can rearrange the second equation.

d = (h - 2) / tan(21°)

Since both expressions for "d" must be equal, we can set them equal to each other:

h / tan(66°) = (h - 2) / tan(21°)

Now we can solve for "h":

h = (2 tan(66°) tan(21°)) / (tan(66°) - tan(21°))

h ≈ 19.1 meters

Therefore,

The building is approximately 19.1 meters tall.

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Answer:

We get a sample mean of 675.78.

Step-by-step explanation:

To calculate the sample mean, we need to sum up all the measurements and divide by the total number of measurements:

Sample mean = (684 + 684.4 + 677.1 + 680.6 + 671.5 + 657.1) / 6 Sample mean = 4054.7 / 6 Sample mean = 675.78

Rounding this to two decimal places, we get a sample mean of 675.78.

Answer:

y = -0.71

x = 8

Step-by-step explanation:

Bring variables on one side of the equation

18.3y - 8.4y = -14.6 + 7.6

4.1x - 0.7x = 25.9 + 1.3

Solve for the variable

9.9y = -7

y = -70/99

3.4x = 27.2

x = 8

The age of person is 40 years old.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

Age of the person = M

Now,

We can make an expression.

M + (3/4)M = 70

Now,

Solve for M.

M + (3/4)M = 70

(4M + 3M) / 4 = 70

7M = 70 x 4

7M = 280

Divide both sides with 7.

M = 40

Thus,

The age of person is 40 years old.

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Answer: 20+3 per person

Step-by-step explanation:

Answer:

105cm^2

Step-by-step explanation:

5 times 6 = 30

30 div 2 = 15

6 times 15 = 90

90 + 15 = 105