10 pts
Question
Cindy rides her horse 28 miles in 3 hours 30 minutes. What is her average speed in miles per hour?
*Hint: 3 hours 30 minutes = 3.5 hours
28 mph
8 mph
3.5 mph

a) The amount of water in the pool after 2 hours can be calculated using the equation.

Water in pool = 10L/hour × 2 hours = 20L.

b) The pool will be 80L when the equation is satisfied: 80L = 10L/hour × Time.

Solving for Time, we find Time = 8 hours.

c) Part b) is linear.

a) To calculate the amount of water in the pool after 2 hours, we can use the equation:

Water in pool = Water filling rate × Time

Since the pool gets filled up with 10L of water per hour, we can substitute the values:

Water in pool = 10 L/hour × 2 hours = 20L

Therefore, after 2 hours, there will be 20 liters of water in the pool.

b) To determine the number of hours it takes for the pool to reach 80 liters, we can set up the equation:

Water in pool = Water filling rate × Time

We want the water in the pool to be 80 liters, so the equation becomes:

80L = 10 L/hour × Time

Dividing both sides by 10 L/hour, we get:

Time = 80L / 10 L/hour = 8 hours

Therefore, it will take 8 hours for the pool to contain 80 liters of water.

c) Part b) is linear.

The equation Water in pool = Water filling rate × Time represents a linear relationship because the amount of water in the pool increases linearly with respect to time.

Each hour, the pool fills up with a constant rate of 10 liters, leading to a proportional increase in the total volume of water in the pool.

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The two possible answers for the third side of the right triangle are 6 and 24.

The Triangle Inequality theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side.

So, a difference of two sides <x< sum of two sides, will give you the possible length of a triangle.

Sarah said, "There is only one possible third side for a right triangle with two sides measuring 9 units and 15 units.'

The two possible answers for the third side of the right triangle are;

\(\rm 15-9 < x < 15+9\\\\6 < x < 24\)

The possible length of the third side of a triangle.

For checking the possible length:

15 + 9 > 7 (a+b>c)

9 + 7 > 15 (b+c>a)

7+ 15 >9(a+c>b)

Which satisfy the triangle inequality theorem.

Hence, the two possible answers for the third side of the right triangle are 6 and 24.

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The probability that a student will choose drama as an elective is 7 percent.

The probability that a student will choose drama only, when it comes to choosing an elective can be found by the formula for finding the probability that student chooses art or drama:

Probability that student chooses art or drama = Probability of choosing art as an elective + Probability of choosing drama - Probability of choosing both art and drama

Solving for the probability of picking drama gives:
Probability of choosing drama = Probability that student chooses art or drama - Probability of choosing art as an elective  + Probability of choosing both art and drama

= 20% - 15% + 2%

= 7%

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Answer:

10 units

Step-by-step explanation:

this is right answer

Answer: 26.6 repeating number or 26 2/3

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

Answer:

Manu has 15.

Step-by-step explanation:

Manu picked 10 apples

He has ten

Sten gave him ten more

Manu has 20

Manu gives Klara 5

Manu has 15.

The correct answer is option (D) "The graph shifts 7 units right and 8 units down".Explanation:To solve the given question, we need to use the rules for vertical and horizontal shifts, which are as follows:

Vertical Shift: y=f(x)+a moves the graph of f(x) upward if a > 0 and downward if a < 0.Horizontal Shift: y=f(x+a) moves the graph of f(x) left if a > 0 and right if a < 0.Now, let's transform the function f(x) into function g(x) and determine the shift required.The transformation of f(x) to g(x) is: g(x) = f(x - a) + bwhere a = horizontal shift and b = vertical shiftThe equation of the given functions is:f(x) = 1/(x − 2) and g(x) = 1/(x^(5/9))Let's set the equation of function f(x) in the standard form:y = 1/(x - 2)and the equation of function g(x) in the standard form:y = 1/(x^(5/9))

Now, we can observe that:To transform the graph of f(x) onto the graph of g(x), we need to shift the graph of f(x) right by 7 units and down by 8 units, which is given in option (D).Hence, the correct option is (D) "The graph shifts 7 units right and 8 units down".

The graph shifts 7 units right and 8 units down is the statement that describes the transformation of the graph of function f onto the graph of function g.Conclusion:Thus, we have determined the correct answer with an explanation and concluded that the correct option is (D) "The graph shifts 7 units right and 8 units down".

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If we have a degree 4 Taylor polynomial centered at x=5 for some function f, we can represent it as:

\(\[ f(x) = f(5) + f'(5)(x-5) + \frac{f''(5)}{2!}(x-5)^2 + \frac{f'''(5)}{3!}(x-5)^3 + \frac{f''''(c)}{4!}(x-5)^4 \]\)

where c is some value between x and 5.

To find the value of  \(\( f^3(5) \)\) , we need to determine the coefficient of \(\( (x-5)^3 \)\) in the fourth term of the Taylor polynomial.

Since the fourth term is \(\( \frac{f'''(5)}{3!}(x-5)^3 \)\) , the coefficient of  \(\( (x-5)^3 \) is \( \frac{f'''(5)}{3!} \).\)

Therefore, the value of \(\( f^3(5) \)\)  for the given Taylor polynomial is  \(\( \frac{f'''(5)}{3!} \).\)

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To arrive at the objective function, we must make the main assumption that the returns are normally distributed

The objective function is a mathematical expression used to represent the goal of a problem in terms of one or more variables. In finance, the objective function is used to represent the goal of maximizing returns.

The distribution of returns is an important factor to consider when creating an objective function for an investment portfolio. Returns are the gains or losses an investor makes on his investments. The distribution of returns refers to the way in which these returns are distributed in the portfolio.

To arrive at the objective function, we must make the main assumption that the returns are normally distributed. A normal distribution is a bell-shaped curve that represents the distribution of data in a population. In finance, normal distributions are used to model portfolio returns because they ensure a good approximation of how returns are distributed across a wide range of investments.

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Cluster sampling is a type of sampling method where the population is divided into groups or clusters, and then a random selection of clusters is chosen for analysis.

In cluster sampling, the population (machines in this case) is divided into groups or clusters (e.g., based on their location or other relevant factors). Instead of individually selecting machines, entire clusters are randomly chosen. This means that all machines within the selected clusters are included in the sample for analysis.

Cluster sampling is beneficial when it is more practical or efficient to sample groups rather than individual units. By analyzing the selected clusters, one can infer the overall performance of the machines in the manufacturing process.

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Answer:

c

Step-by-step explanation:

im pretty sure it is c because of the 50 50 shoot anically

Answer: T 0.5   H  0.3

Step-by-step explanation:

dont actually do this im a 5th grader who guessed

Answer:

It is 1  4/7

Step-by-step explanation:

We have a basket and a hat.

The basket has the numbers 1, 2, 3, 4 and 5.

The hat contains the letters A, B, C and D.

We have to calculate the probabiltiy of drawing a number that is greater than 3 from the basket and drawing the letter C from the hat.

We have two events:

- Drawing a number greater than 3 from the basket

- Drawing a C from the hat

They are independent as the probability of each on does not depend on the outcome of the other event.

Then, we can calculate the probability of the two events happening together as the product of its probabilities:

The probability of drawing a number greater than 3 can be described as 2/5, as we have 2 numbers greater than 3 (4 and 5) out of 5 numbers in the basket.

The probability of drawing a letter C can be described as 1/4, as we have one letter C out of 4 letters available.

Then, we can calculate the probability as:

Answer: the probability is 1/10 or 0.1.

Answer:

\(2p^2\)

Step-by-step explanation:

Step 1: Apply the exponentiation property:

\((8p^6)^\frac{1}{3} = 8^\frac{1}{3} * (p^6)^\frac{1}{3}\)

Step 2: Simplify the cube root of 8:

The cube root of 8 is 2:

\(8^\frac{1}{3} =2\)

Step 3: Simplify the cube root of \((p^6)\):

The cube root of \((p^6)\) is \(p^\frac{6}{3} =p^2\)

Step 4: Combine the simplified terms:

\(2 * p^2\)

So, the simplified expression is \(2p^2\).

Answer:

r=10

Step-by-step explanation:

I used a cone calculator.

The domain of the given inequality is y>1.

An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.

Here, given inequality:

              y < \(\sqrt{x+3}+1\)

Related equation:

             y = \(\sqrt{x+3}+1\)

The equation defined as,

    x+3 > 0

    x > -3

In the given inequality, the sign of inequality is <, it means the points on the boundary line are not included in the solution set. Thus, -3 is not included in the domain.

So, the domain of the given inequality is x>-3.

We know that,

    \(\sqrt{x+3} \geq 0\)

adding 1 on both sides, we get

  \(\sqrt{x+3} + 1 \geq 1\)

      y ≥ 1

The points on the boundary line are not included in the solution set. Thus, 1 is not included in the range.

Thus, the domain of the given inequality is y>1.

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Answer:

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

Step-by-step explanation:

(6x-y=-35)-2

5x-2y=-35

-12x+2y=70

5x-2y=-35

-7x=35

x=-5

5(-5)-2y=-35

-25-2y=-35

-2y=-10

y=5

Answer:

D

Step-by-step explanation:

A system of equations with no solution means the lines are parallel and never intersect.

The only graph showing a possible set of parallel lines is D

Answer:

i dont know this one sdfghjasdfghj

Step-by-step explanation:

Answer:

m - a - b  =   c

Step-by-step explanation:

m    =   a + b + c                      

  -a  =  -a                Add -a from both sides

m - a     =    b + c

       -b  =   -b         Add -b from both sides

m - a - b =   c

Answer:

Math is similar to language because there are questions that require you to write them such as word problems and when you explain how you got to a certain answer.

Step-by-step explanation:

1. There are 3 decision nodes in the tree.
2. The best course of action for the hospital is option B - seek approval first, and proceed with Plan B if approved, and Plan A if denied.
3. The answer is E) B & C only. The decision tree shows conditional probabilities, but TreePlan is not maximizing the EMV. The probability of approval for Plan B does not depend on when approval is sought.
4. The EMV for choosing Plan B from the start is -137.5.

1. Decision nodes are points in a decision tree where a decision must be made. To determine the number of decision nodes in the tree, count the number of places where a choice must be made between different options.

2. To determine the best course of action, you would analyze the decision tree by considering the expected monetary value (EMV) of each path. Choose the path with the highest EMV.

3. Examine your decision tree and determine which conclusions apply. Some things to consider are:
  A) Conditional probabilities: Are there probabilities given based on the outcomes of previous decisions?
  B) "Rolling back" the decision tree: Is the tree being analyzed by working backward from the final outcomes to determine the best course of action?
  C) Probability of approval: Does the chance of getting approval for Plan B change based on when approval is sought?

4. To find the EMV for choosing Plan B from the start, calculate the probability-weighted average of the possible monetary outcomes for that path. Multiply the probability of each outcome by its monetary value, then sum those products.

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The equation represents the relationship between the number of months since opening and the profit earned each month is y=700/3x-4000

An equation is a mathematical statement that shows that two mathematical expressions are equal.

Given that, The relationship between the number of months since opening, x, and the profit earned each month, y, is shown in the table below:-

Number of Months, x Profit Earned, y ($)

x      y

6  -2,600

12  -1,200

18  200

24 1,600

Considering the equation, y=700/3x-4000

Put x = 6

y = 700/3x6 - 4000

y = 1400 - 2600

y = -2600

Put x = 12

y = 700/3x12-4000

y = 2800-4000

y = -1200

Put x = 18

y = 700/3x18-4000

y = 4200 - 4000

y = 200

Put x = 24

y = 700/3x24-4000

y = 5600-4000

y = 1600

Since, the equation, y=700/3x-4000 is satisfying the values of table.

Hence, the correct equation is y=700/3x-4000

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Answer:

seconds

Step-by-step explanation:

I can't see it so well,but I think it's seconds

The population decreased by 5,400 people from 2015 to 2020.

Also known as population decline, means the reduction in a human population size

Population in 2015 = Population in 2010 + Growth from 2010 to 2015

Population in 2015 = 167,000 + (8% of 167,000)

Population in 2015 = 167,000 + 13,360

Population in 2015 = 180,360

Population in 2020 = Population in 2015 - Decrease from 2015 to 2020

Population in 2020 = 180,360 - (3% of 180,360)

Population in 2020 = 180,360 - 5,411.8

Population in 2020 = 174,948.2

The population decrease from 2015 to 2020 is:

= Population in 2015 - Population in 2020

= 180,360 - 174,948.2

= 5,411.8

= 5,400 to nearest 100 people.

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Answer:

slope = \(\frac{10}{1}\)

Step-by-step explanation:

calculate the slope m using the slope formula

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

with (x₁, y₁ ) = (4, - 9 ) and (x₂, y₂ ) = (5, 1 )

m = \(\frac{1-(-9)}{5-4}\) = \(\frac{1+9}{1}\) = \(\frac{10}{1}\)

Answer: 1.42 x 10^1

Step-by-step explanation:

Answer: 1.42x10

Step-by-step explanation:

Answer:

\(84.13^{\circ}\)

Step-by-step explanation:

By the exterior angle theorem, the answer is \(m\angle y+m\angle z=84.13^{\circ}\).

Answer:

Step-by-step explanation:

USE THE EXTERIOR ANGLE THEROME!
FIRST

THE FOMULA

a+b=c

y+z=x

now we have to add y and z

45.43 + 38.7

which gives us 84.13!

Answer:

(-3,8)

Step-by-step explanation:

When reflecting over the y-axis, you are switching from positive to negative x-values. Since 3 was already positive, we change the integer and in this case, to negative, so it becomes -3. Since the y value remains the same we don’t change the 8. So (-3,8)

I hope this helps!

Please give thanks or brainliest if this helps!

Answer:

(-3,8)

Step-by-step explanation: