I just need the answer tbh idrc how to do it.

Answer:

t = 8.017 or 0.608 (nearest hundredth)

Step-by-step explanation:

\(h = 138t-16t^2\)

when h = 78:

\(\implies 138t-16t^2=78\)

\(\implies 16t^2-138t+78=0\)

Using quadratic formula:

\(t=\dfrac{138 \pm\sqrt{(-138)^2-(4 \cdot 16 \cdot 78)} }{2 \cdot 16}\)

\(\implies t=\dfrac{138 \pm\sqrt{14052} }{32}\)

\(\implies t=8.017, t = 0.608\)

To solve this expression, we can first simplify the expression inside the parenthesis by combining like terms:

(x + 2y) + (x + 2y)^2 = (x + 2y) + x^2 + 4xy + 4y^2

Now we can distribute the A to each term inside the parenthesis:

A(x + 2y) + A(x^2 + 4xy + 4y^2)

Next, we can simplify each term:

A(x + 2y) = Ax + 2Ay

A(x^2 + 4xy + 4y^2) = Ax^2 + 4Axy + 4Ay^2

Putting these simplified terms back together, we get:

Ax + 2Ay + Ax^2 + 4Axy + 4Ay^2

This is the final simplified expression.

Answer:

The square root of 4 is 2

The price per T-shirt should be at least $15 to achieve a profit of $250.

To calculate the price per T-shirt that will yield a profit of at least $250, we need to consider the cost of production, the desired profit, and the number of shirts to be sold.

Given that the cost to make each T-shirt is $10, and we want to sell 50 shirts, the total cost of production would be 10 * 50 = $500.

Now, let's calculate the minimum revenue needed to achieve a profit of $250. We add the desired profit to the total cost of production: $500 + $250 = $750.

Finally, to determine the price per T-shirt, we divide the total revenue by the number of shirts: $750 ÷ 50 = $15.

Therefore, to make a profit of at least $250, the price per T-shirt should be set at $15.

By selling each T-shirt for $15, the total revenue would be $15 * 50 = $750. From this revenue, we subtract the total production cost of $500 to calculate the profit, which amounts to $750 - $500 = $250. Thus, by charging $15 per T-shirt, the desired profit of $250 is achieved.

For more question on profit visit:

https://brainly.com/question/30495119

#SPJ8

P(X = 4) = 1/16

To find the probability distribution of the random variable X, we need to calculate the probability of each possible outcome. In this case, X represents the total number of tails obtained in four coin tosses.

To calculate the probability of each possible outcome, we need to use the following formula:

P(X = x) = (number of ways to get x tails) / (total number of possible outcomes)

The total number of possible outcomes when tossing a coin four times is 2^4 = 16.

Let's fill in the table:

D) x  P(X=x)  P(X≤x)  P(X>x)
0   1/16    1/16    15/16
1   4/16    5/16    11/16
2   6/16    11/16   5/16
3   4/16    15/16   1/16
4   1/16    16/16   0

Therefore, the probability distribution of X is:

P(X = 0) = 1/16
P(X = 1) = 4/16 = 1/4
P(X = 2) = 6/16 = 3/8
P(X = 3) = 4/16 = 1/4
P(X = 4) = 1/16

To know more about Probablity visit: brainly.com/question/14210034

#SPJ11

The potential traffic patterns in the network of one-way streets and a roundabout depend on factors such as road capacity, roundabout placement and capacity, and the volume of vehicles entering and exiting the network. Efficient design and management of these elements are crucial for maintaining smooth traffic flow and minimizing congestion.

In this network, traffic patterns will depend on several factors. Firstly, the capacity and connectivity of the one-way streets will influence the flow of vehicles. If the streets are wide and have multiple lanes, they can accommodate a higher volume of traffic, reducing congestion. However, if the streets are narrow or have limited lanes, it can result in slower traffic and potential bottlenecks.

The location of the roundabout is another crucial factor. A well-placed roundabout can efficiently distribute traffic and reduce congestion by allowing vehicles to flow smoothly in a circular manner. It can act as a central hub, directing traffic from multiple entry points to the desired exit streets. However, if the roundabout is poorly positioned or has inadequate capacity, it can lead to traffic backups and delays.

Additionally, the volume of vehicles entering and exiting the network will impact traffic patterns. If there is a high inflow of vehicles into the network but limited exit points, it can cause congestion near the roundabout or on the connecting streets. On the other hand, if there are several exit points but insufficient entry points, some streets may experience lower traffic volumes.

Overall, the potential traffic patterns in this network will be influenced by factors such as road capacity, roundabout placement and capacity, and the volume of vehicles entering and exiting the network. Efficient design and management of these elements are crucial for maintaining smooth traffic flow and minimizing congestion.

Learn more about volume here:

https://brainly.com/question/28058531

#SPJ11

Answer:

2, 3

Step-by-step explanation:

1. Average of the entire data set: 15.47 ounces

  Standard deviation of the entire data set: 1.51 ounces

2. American League:

  Average of drink sizes: 16.8 ounces

  Standard deviation of drink sizes: 2.26 ounces

1. Computing the average and standard deviation of the entire data set:

  Average = (14 + 18 + 20 + 16 + 16 + 12 + 14 + 16 + 14 + 16 + 16 + 16 + 14 + 32 + 16 + 20 + 12 + 16 + 20 + 12 + 16 + 16 + 24 + 16 + 16 + 14 + 14 + 12 + 14 + 20) / 30

          = 464 / 30

          ≈ 15.47 ounces

  Standard deviation = √[((14 - 15.47)² + (18 - 15.47)² + (20 - 15.47)² + ... + (14 - 15.47)²) / 30]

                    ≈ √(68.71 / 30)

                    ≈ √2.29

                    ≈ 1.51 ounces

2. Computing the average and standard deviation for the American League and the National League:

  American League:

  Average (AL) = (14 + 18 + 20 + 16 + 16 + 12 + 14 + 16 + 14 + 16 + 16 + 16 + 14 + 32 + 16) / 15

               = 252 / 15

               ≈ 16.8 ounces

  Standard deviation (AL) = √[((14 - 16.8)² + (18 - 16.8)² + (20 - 16.8)² + ... + (32 - 16.8)²) / 15]

                         ≈ √(76.8 / 15)

                         ≈ √5.12

                         ≈ 2.26 ounces

  National League:

  Average (NL) = (20 + 12 + 16 + 20 + 12 + 16 + 16 + 14 + 14 + 12 + 14 + 20) / 15

               = 200 / 15

               ≈ 13.33 ounces

  Standard deviation (NL) = √[((20 - 13.33)² + (12 - 13.33)² + (16 - 13.33)² + ... + (20 - 13.33)²) / 15]

                         ≈ √(40 / 15)

                         ≈ √2.67

                         ≈ 1.63 ounces

To know more about average, click here: brainly.com/question/31337778

#SPJ11

To solve the constrained optimization problem, we will use the Lagrange multiplier method. Let's define the Lagrangian function L(x, y, λ) as follows:

L(x, y, λ) = mx(x, y) + λ(g(x, y) - c)

where mx(x, y) = x^2 + y^2 is the objective function, g(x, y) = x^2 + z^2 = -1 is the constraint equation, and c is a constant.

Now, we need to find the critical points by taking partial derivatives of L with respect to x, y, and λ and setting them equal to zero:

∂L/∂x = 2x + 2λx = 0

∂L/∂y = 2y + λ = 0

∂L/∂λ = g(x, y) - c = 0

From the second equation, we have λ = -2y. Substituting this into the first equation, we get:

2x + 2λx = 0

2x - 4yx = 0

x(1 - 2y) = 0

This gives two possible cases:

Case 1: x = 0

Substituting x = 0 into the constraint equation g(x, y) = -1, we have:

0 + z^2 = -1

z^2 = -1

However, this equation has no real solutions, so this case is not valid.

Case 2: 1 - 2y = 0

This gives y = 1/2. Substituting y = 1/2 into the constraint equation, we have:

x^2 + z^2 = -1

Since x^2 and z^2 are non-negative, the only way for the equation to hold is if x = 0 and z = -1. Thus, we have a critical point at (0, 1/2, -1).

Next, we need to examine the second-order conditions to determine whether this critical point is a maximum, minimum, or a saddle point. The bordered Hessian matrix is given by:

H = | ∂^2L/∂x^2   ∂^2L/∂x∂y   ∂g/∂x |

   | ∂^2L/∂y∂x   ∂^2L/∂y^2   ∂g/∂y |

   | ∂g/∂x       ∂g/∂y       0     |

Evaluating the second derivatives and the partial derivatives, we have:

∂^2L/∂x^2 = 2 + 2λ

∂^2L/∂x∂y = 0

∂g/∂x = 2x

∂^2L/∂y^2 = 2

∂^2L/∂y∂x = 0

∂g/∂y = 1

∂g/∂x = 2x

∂g/∂y = 2z

Plugging in the values at the critical point (0, 1/2, -1), we have:

∂^2L/∂x^2 = 2 + 2λ = 2 + 2(-1/2) = 1

∂^2L/∂x∂y = 0

∂g/∂x = 2x = 2(0) = 0

∂^2L/∂y^2 = 2

∂^2L/∂y∂x = 0

∂g/∂y = 1

∂g/∂x = 2x = 2(0) = 0

∂g/∂y = 2z = 2(-1) = -2

The bordered Hessian matrix at the critical point is:

H = | 1 0 0 |

| 0 2 -2 |

| 0 -2 0 |

The determinant of the bordered Hessian matrix is given by:

det(H) = 1(20 - (-2)(-2)) = 1(4) = 4

Since the determinant is positive, we can conclude that the critical point (0, 1/2, -1) is a local minimum. However, further analysis is required to determine if it is an absolute minimum.

Based on the theory of constrained optimization and the given information, the critical point (0, 1/2, -1) is a local minimum of the objective function mx(x, y) = x^2 + y^2 subject to the constraint x^2 + z^2 = -1, where z is a constant.

Visit here to learn more about Lagrangian function:

brainly.com/question/30426461

#SPJ11

Answer: It is 10 because there are 2 other faces and 8+2=10

Step-by-step explanation:

Answer:

  305 miles

Step-by-step explanation:

You want to know how far Dylan travelled if he drove 50 mph for 3.5 hours and 65 mph for 2 hours.

Distance is the product of speed and time. The total distance Dylan travelled will be the sum of lengths of the legs of his trip.

  distance = speed · time

  total distance = speed1 · time1 + speed2 · time2

  = (50 mi/h)(3.5 h) +(65 mi/h)(2 h) = 305 mi

Dylan travelled a total of 305 miles.

Step-by-step explanation:

Our basic problem looks like:

y = qx

When we plug in our variables, we get:

20 = q * 4

To isolate q, we divide both sides by 4:

20 / 4 = q * 4 / 4, which becomes:

5 = q, leading to 5x = y

now to plug in our 5 variable:

5 * 5 = 25 = y

Answer:

its d

Step-by-step explanation:

8% of 20 is 1.6 so 20 + 1.6

Answer:

D

Step-by-step explanation:

b-1≥ 0 or b-7<-8

b ≥ 1 or b<-8+7

b ≥ 1 or b<-1

The answer Calebmf1245 is

40 and 140

because

If the angles are supplementary, they add to 180 degrees.Since 140 - 100 = 40 and 140 + 40 = 180, those are the two angle you are looking for.

Answer:

i think its 420

Step-by-step explanation:

The claim that "a context level data flow diagram includes many detailed processes representing the computer programmes within the system" is false.

A context level data flow diagram (DFD) is a particular kind of diagram that shows how various system components interact with one another. The main objective of building a DFD is to visually depict the data flow and system activities.

The highest-level diagram that shows the system's overall operation without going into specifics about particular processes or data stores is a context level DFD, also referred to as a Level 0 DFD.

The statement that "a context level data flow diagram includes many detailed processes representing the computer programmes within the system" is untrue. This is so because the context level DFD reflects the total functionality of the system.

Know more about computer programs here:

https://brainly.com/question/14588541

#SPJ11

Answer:

Step-by-step explanation:

4+[2x3 2nd power] +4 divided by 11

translation

4 + (2×3²) + 4 : 11 =

4 + 18 + 4 : 11 =

4 + 18 + 0.36 =

22.36

The value of the function at f(4) is 14.

When a function is defined using the notation, the set of rational data, or, is implicitly taken into account to be the function's range and small-space requirement. When a function is defined, the domain and codomain are not usually explicitly stated; one may just be aware that the function's domain is a subset of a larger set without having to perform any (potentially challenging) computations.

the given function is

f (x) = 3x + 2

f(4) = 3(4) +2

f(4) = 14

The area is assumed to be the largest subset of the set if the formula may be evaluated at any real number. In mathematical analysis, the phrase "a function from X to Y" is frequently used to describe a function that has a permissible subset of X as its domain.

The value of the function at f(4) is 14.

To learn more about function visit:

brainly.com/question/24710827

#SPJ9

Answer: 18.5

Step-by-step explanation:

First, I did 2x2 witch is 4. Then I added 4 to 33, to get 37, lastly I divided 37 by 2 to get 18.5 as my product.

Answer:

its b

Step-by-step explanation:

becasue i had the same typ eof questions 2 days ago glad to help pls mark it 5 starts its 100% corect i am an A+ student

The percentage, the experimental probability is 22.5% and the theoretical probability is 12.5%.

The total number of letters in the bag is:

9 + 12 + 7 + 2 + 4 + 1 + 3 + 2 = 40

The experimental probability of drawing the letter M is the frequency of M divided by the total number of letters:

Experimental probability = 9/40 = 0.225

To find the theoretical probability, we need to know how many M's are in the bag. There is only one M in the word "mathematics," so the theoretical probability of drawing the letter M is:

Theoretical probability = 1/8 = 0.125

Converting to a percentage, the experimental probability is 22.5% and the theoretical probability is 12.5%.

To know more about Probability visit:

brainly.com/question/30034780

#SPJ1

To find the highest and lowest temperatures encountered by the ant as it traverses the circle of radius 7 centered at the origin, we need to parameterize the circle and then find the maximum and minimum values of the temperature function T(x, y) along the circle.

First, we can parameterize the circle of radius 7 centered at the origin using polar coordinates:

x = 7cosθ

y = 7sinθ

where θ is the angle measured counterclockwise from the positive x-axis.

Substituting these expressions into the temperature function, we get:

T(θ) = 4x^2 - 4xy + y^2 = 4(7cosθ)^2 - 4(7cosθ)(7sinθ) + (7sinθ)^2

= 49(2cos^2θ - 4cosθsinθ + sin^2θ)

= 49(cosθ - 2sinθ)^2

Now, we can find the maximum and minimum values of T(θ) by finding the maximum and minimum values of the function f(θ) = cosθ - 2sinθ, since T(θ) is a square of f(θ).

To find the maximum and minimum values of f(θ), we can take its derivative with respect to θ and set it equal to zero:

f'(θ) = -sinθ - 2cosθ = 0

Solving for θ, we get θ = arctan(-2), which is in the second quadrant. Since f''(θ) = -cosθ + 2sinθ is negative at this value, we know that this is a maximum value of f(θ).

Therefore, the highest temperature encountered by the ant is T(θ) = 49(cosθ - 2sinθ)^2 evaluated at θ = arctan(-2), which gives T_max = 245.

Similarly, the lowest temperature encountered by the ant is T(θ) = 49(cosθ - 2sinθ)^2 evaluated at θ = arctan(-2) + π, which gives T_min = 49.

Learn more about Trigonometry here -: brainly.com/question/13729598

#SPJ11

Answer:

%556

Step-by-step explanation:

278 times 2 cuz its 50 percent off

Answer:

$556

Step-by-step explanation:

There was a 50% sale, so the original price has to be double the sale price.

$278 x 2 = 556

So, the original price is $556

The alpha level for each hypothesis test made on the same set of data is called B. experimentwise alpha

When numerous suppositions are examined concurrently, the likelihood of committing at least one type I mistake grows.

In order to manage the probability of erroneously rejecting the null hypothesis in all tests, scientists usually modify the alpha level for each test, with the purpose of maintaining an experimentwise alpha that reflects the probability of making a type I error in the entire set of tests.

The Bonferroni procedure is a technique utilized to regulate the experimentwise error rate by adjusting the alpha level for each hypothesis test.

Learn more about hypothesis at: https://brainly.com/question/606806

#SPJ1