What is the value of f(x) = 1/2x + 5 when x = 4?

The probability of randomly drawing a vowel is 4/10

From the question, we have the following parameters that can be used in our computation:

W, E, L, O, V, E, M, A, T, H

Using the above as a guide, we have the following:

Vowels = 4

Total = 10

So, we have

P(Vowel) = Vowel/Total

Substitute the known values in the above equation, so, we have the following representation

P(Vowel) = 4/10

Hence, the solution is 4/10

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Solution

- 40% of peole would vote for the mMath teacher out f the 750 people. This implies that the number of people tahat would vote for him is

- We are also told that there is a margin of error of 4%. This implies that the number of people that vote for the math teacher is either 4% more or 4% less than the 300 people

- 4% margin of error can be gotten as follows:

- Thus, the number of people that vote for him is 300 give or take 30 people

Answer:

0, 4.2, 6, 9

Step-by-step explanation:

The number of guests that must attend the picnic for the sophomores to pay for the permit is 82.

The sophomore class is planning a picnic. The cost of the permit to use a city park is $250. To pay for the permit, there is a fee of $.74 for each sophomore and $1.25 for each guest who is not a sophomore. A total of two hundred sophomores plan to attend the picnic. Let the number of guests who attend the picnic be "x". We can form an inequality to find the value of x.

0.74*200 + 1.25*x ≥ 250

148 + 1.25x ≥ 250

1.25x ≥ 102

x ≥ 81.6

Hence, the minimum number of guests is 82.

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Answer:

8

Step-by-step explanation:

Vertical angles are congruent.  That means that they have the same measurement.  Set them equal to each other and solve for x

x = 4x - 24  Subtract x from both sides of the equation

o = 3x - 24  Add 24 to both sides

24 = 3x  Divide both sides by 3

8 = x

m<A is 8

Answer:

C (1,11) and (-1,-5)

Step-by-step explanation:

Answer:

The height above ground when the ride stops is 96 feet

Step-by-step explanation:

The given diameter of the carnival ride, d = 120 ft.

The height of the ride above the ground, h = 6 ft.

The angle through which the ride is rotated, θ = 240° counterclockwise

Therefore, we have;

The radius of the ride, r = d/2

∴ r = 120 ft./2 = 60 ft.

We note that at 180° rotation, the ride is at the highest point, \(h_{max}\) = 6 ft. + 120 ft. = 126 ft.

When the ride rotates a further 240° - 180° = 60° the height drops from the maximum point by y = 60 ft. × cos (60°) = 30 ft., such that the final height above ground is therefore;

h = 126 ft. - 30 ft. = 96 ft.

The height above ground when the ride stops, h = 96 ft.

To determine the optimal feed mix that minimizes cost while meeting the protein and starch requirements for each cow, we can formulate a linear programming problem.

By defining the decision variables, constraints, and objective function, we can solve the problem using linear programming techniques. The optimal solution will provide the amounts of corn feed and wheat feed to be used, as well as the corresponding cost.

Let's denote the amount of corn feed used as x (in kg) and the amount of wheat feed used as y (in kg). We want to minimize the cost, so the objective function is given by the cost per kg of corn feed multiplied by x, plus the cost per kg of wheat feed multiplied by y.

The constraints for protein and starch requirements can be expressed as follows:

For protein: 100x + 150y ≥ 650 (minimum protein requirement)

For starch: 750x + 700y ≥ 4000 (minimum starch requirement)

Additionally, we have the constraint that each cow should be fed at most 7 kg of feed per day: x + y ≤ 7.

To solve this linear programming problem, we can graph the feasible region and find the corner points. We evaluate the objective function at each corner point and determine the minimum cost.

Solving the problem, we find that the optimal feed mix is approximately 2.53 kg of corn feed and 4.47 kg of wheat feed. The corresponding cost is $3.03.

Therefore, the optimal feed mix that minimizes cost consists of using approximately 2.53 kg of corn feed and 4.47 kg of wheat feed, resulting in an optimal cost of $3.03.

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Repeated-measures design would require the smallest number of subject

Repeated-measures design: Repeated measures design is a research design that involves multiple measures of the same variable taken on the same or matched subjects either under different conditions or over two or more time periods. For instance, repeated measurements are collected in a longitudinal study in which change over time is assessed

given that, a researcher conducts an experiment comparing two treatment conditions and obtains 20 scores in each treatment

Repeated-measures design would require the smallest number of subjects

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Answer:

Step-by-step explanation:

0.10 i think if its multiple choice

The missing dimension (height) of the cylinder is 11.62 feet.

The formula for the volume of a cylinder is V = πr²h, where V is the volume, r is the radius, and h is the height.

Substituting the given values, we get:

3000 = π(9.3)²h

Simplifying and solving for h:

h = 3000 / (π(9.3)²)

h ≈ 11.62 feet

Thus, the missing dimension (height) of the cylinder is 11.62 feet.

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Answer:

9 4/5

Step-by-step explanation:

7 1/2 + 2 3/10 = 9 8/10 = 9 4/5

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.

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Answer:

4x(x+3)(x+4)

Step-by-step explanation:

Answer:

49/16

Step-by-step explanation:

make the fraction into a mixed number then multiply have answer

Answer:

0.4 inches per hour

Step-by-step explanation:

2.5 hrs = 31.5 in

5 hrs = 32.5

that's 1 inch in 2.5 hours

or

1/2.5 = 0.4 inches per hour

From the diagram, we get that the height we are looking for is h₂*0.914. To compute h₂ we notice that it is equal to the tangent of the depression angle times 31 yds.

Therefore:

Answer: 9.21 meters.

Answer:

The revenue from selling a pair of running shoes at p dollars per pair is 50,000p - p^2

Step-by-step explanation:

Here in this question, we are interested in writing an equation that represents the revenue from selling a number of shoes.

Mathematically;

Revenue = Number of shoes sold * Price of one shoe

From the question, the number of shoes sold at price P dollars is 50,000 - 40p

The price of a single pair is P dollars

So the revenue in this case will be ; p * (50,000 - 40p)

= (50,000p - 40p^2) dollars

The expression that represents the revenue in dollars is \((50000p-40p^{2} )\)

We have to find an expression  that represents the revenue in dollars

So that,

            Revenue = Number of shoes sold * Price of one shoe

It is given that the number of shoes sold at price P dollars is \((50000 - 40p)\)

and the price of a single pair is P dollars

Thus,  the revenue expression is,

                                \(= p * (50000 - 40p)\\\\=50000p-40p^{2}\)

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Answer:

800

Step-by-step explanation:

2 times 4 is 8, 20 has one zero and 40 has one zero. Just add both zeros to 8, if you know the answer to 2x4.

The value of x , y and z in the parallel line is 50 degrees.

When parallel lines are crossed by a transversal line, angle relationships are formed such as vertically opposite angles, alternate interior angles, alternate exterior angles, adjacent angles, corresponding angles etc.

Therefore, let's use the angle relationships to find the angle, x, y and z as follows:

Therefore,

x = 360 - 310(sum of angles in a point)

x = 50 degrees

Therefore,

x = y(alternate interior angles)

Alternate interior angles are congruent.

Hence,

y = 50 degrees

Therefore,

x = z(alternate interior angles)

z = 50 degrees.

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The tires and the traction control system work in tandem to ensure maximum traction and stability, minimizing the risk of traction loss and improving overall vehicle control and safety.

The two most important parts of a vehicle in preventing traction loss are the tires and the traction control system.

Tires: Tires are the primary point of contact between the vehicle and the road surface. The quality and condition of the tires greatly influence traction. Tires with good tread depth and appropriate tread pattern are essential for maintaining grip on the road. Tread depth helps to channel water, snow, or debris away from the tire, preventing hydroplaning or loss of traction. Additionally, tire pressure should be properly maintained to ensure even contact with the road. Choosing tires suitable for the specific driving conditions, such as all-season, winter, or performance tires, is crucial for optimal traction and handling.

Traction Control System: The traction control system is a vehicle safety feature that helps prevent the wheels from slipping or spinning on low-traction surfaces. It uses various sensors to monitor the speed and rotation of the wheels. If the system detects a loss of traction, it will automatically reduce engine power and apply braking force to the wheels that are slipping. By modulating power delivery and braking, the traction control system helps maintain traction and prevent wheel spin, especially in challenging conditions like slippery roads or during quick acceleration.

The tires and the traction control system work in tandem to ensure maximum traction and stability, minimizing the risk of traction loss and improving overall vehicle control and safety.

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Answer:

yes

Step-by-step explanation:

ΔABC ~ ΔEFD

Step-by-step explanation:

Answer:

acute

Step-by-step explanation:

Answer:

Acute triangle.

Explanation:

All sides are under 90 degrees.

A bit of help if you need it:

Acute: all sides are under 90 degrees

Right: One side is 90 degrees

Obtuse: One side is above 90 degrees

Answer:

Step-by-step explanation:

There are 19 - 5 = 14 students between the number 5 and 19, either side, so the total number is:

Answer:

22cm

Step-by-step explanation:

Circumference of a circle = 2πr

π = 22/7

r = 3.5

Circumference of a circle = 2 × (22/7) × 3.5

Circumference of a circle = 22cm.

Answer:

\(P(t)=100(0.994)^t\)

Step-by-step explanation:

A calculator shows the value of \(e^{-.006} \approx 0.994\) meaning that each day, about 99.4% of the sample remains.

The formula \(P(t)=100e^{-0.006t} = 100(e^{-0.006})^t=100(0.994)^t\)

Evaluate this at t = 16 to get 91 grams remain.

Answer:

1a. 100, 1b. 22

Step-by-step explanation:

1a. Given information from the question:

\( \frac{b}{46} = \frac{50}{23} \\ 23b = (50)(46) \: (cross \: multiply) \\ b = \frac{50 \times 46}{23} \\ = 50 \times 2 \\ = 100\)

1b. Given information from the question:

\( \frac{34}{d} = \frac{68}{44} \\ 68d = (34)(44) \: (cross \: multiply)\\ \\ d = \frac{34 \times 44}{68} \\ d = \frac{44}{2} \\ = 22\)

Answer:

• \(b = \bf 100\)

• \(d = \bf 22\)

Step-by-step explanation:

To solve these questions, we need to rearrange the equations to make the unknown variables the subject of the equations.

1a.

\(\frac{b}{46} = \frac{50}{23}\)

⇒ \(b = \frac{50 \times 46}{23}\)             [multiplying both sides by 46]

⇒ \(b = \bf 100\)

1b.

\(\frac{34}{d} = \frac{68}{44}\)

⇒ \(34 = \frac{68 \times d}{44}\)               [multiplying both sides by d]

⇒ \(34 \times 44 = 68 \times d\)    [multiplying both sides by 44]

⇒ \(\frac {34 \times 44}{68} = d\)               [dividing both sides by 68]

⇒ \(d = \bf 22\)

Answer:

16/22, 24/33, and 40/55

or

72.7272...% = Percentage form

0.7272... = Decimal form

Hope this helps :)

Pls brainliest...

Answer:

19,188

Step-by-step explanation:

hope this helps ;)