Sten and Manu are at a mystery movie. The movie starts at 5:40 PM ane ends at 8:20 PM. How long is the movie?

The optimal decision for the median selection problem (1, 3, 3) is that the median value can be either 1 or 3.

To construct an optimal decision tree for the median selection problem with the values (1, 3, 3), we need to determine the median value using a binary comparison approach. Here's the decision tree:

(a) Compare the first two values, 1 and 3:

If 1 is less than 3, move to Step 2.

If 1 is greater than 3, swap the positions of 1 and 3 and move to Step 2.

(b) Compare the second value, which is now 1, with the third value, which is 3:

If 1 is less than 3, the median is 3.

If 1 is greater than 3, the median is 1.

If 1 is equal to 3, the median is 1 or 3 (since they are equal in this case).

Based on this decision tree, the optimal decision for the median selection problem (1, 3, 3) is that the median value can be either 1 or 3.

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The congruent statement for the triangle is ΔVXW ≅ ΔRPQ

Two triangles are said to be congruent if all three corresponding sides are equal and all the three corresponding angles are equal .

In other words, two triangles are said to be congruent if pairs of their corresponding sides and their corresponding angles are equal.

Therefore, for the two triangles the to be congruent the corresponding sides are and the angles are equals also.

Hence,

∠V ≅ ∠R

∠W ≅ ∠Q

∠X ≅ ∠P

Therefore, ΔVXW ≅ ΔRPQ

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Answer:

7.85 km/h

Step-by-step explanation:

Answer:

Step-by-step explanation:

find the two points and do "rise over run" to fins the slope.

the y-intercept is the point on the y-axis

(0, 3) and (-5, 5)

slope is 2/5

y-intercept is 3

y = 2/5x + 3

Answer:

A is the real part and B is the imaginary part. i is an imaginary figure. b is how many imaginary figures there are, making it represent an imaginary part

Answer:

(a) Domain is \((-\infty,+\infty)\) (b) Range is \((-\infty,+1]\) (c) x intercepts  -1 and +1 (d) y-intercept is +1

(e)

\(F(-2)=-2\\F(2)=-2\)

Step-by-step explanation:

(a) The function's domain:

From the given graph, it is clear that the value of function exist in the interval from \((-\infty,+\infty)\).

Therefore, the domain of the function is \((-\infty,+\infty)\).

(b) The function's range:

Clearly from the graph that is given in the question, the highest value of y coordinate is +1 and its lowest value is \(-\infty\).

Hence, the range of the function is \((-\infty,+1]\)

(c) The x-intercepts:

The curve intersects the x-axis at -1 and +1, therefore the intercepts of the curve is -1 and +1.

(d) The y-intercept:

The curve intersect the y-axis at y=1, therefore y-intercept is +1.

(e) Missing Values:

Clearly from graph:

\(F(-2)=-2\\F(2)=-2\)

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Utilizing the graph, it is found that:

a) The domain of the function is all real values.

b) The range is given by: \((-\infty, 1]\)

c) The x-intercepts are \(x = \pm 1\)

d) The y-intercept is \(y = 1\)

e) \(F(-2) = F(2) = -3\)

-----------------------

Item a:

-----------------------

Item b:

-----------------------

Item c:

-----------------------

Item d:

-----------------------

Item e:

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The y intercept of the graph of the function f(d) indicates f(d) = 11 and the average rate of change of the function f(d) from d = 2 to d = 7 is 0.114, making 6.97 a reasonable domain to depict the growth function.

The definition of an equation in algebra is a mathematical statement that proves two mathematical expressions are equal.

An equation is a mathematical expression with two equal sides and an equal sign in between. An equation is a mathematical statement proving the equality of two numbers or values.

Equations can be categorized as either identities or conditional equations. For each value of the variables, an identity holds true. Only specific values of the variables make a conditional equation true. An equals symbol ("="), separating two expressions, is used to represent an equation.

Part A:

11.79 = 11(1.01\()^d\)

substitute the values in the above equation, we get

\($$& (1.01)^d\) = 11.79 / 11

simplifying the equation, we get

\($$& (1.01)^d\) = 1.071818

d = log 1.071818 / log 1.01

The value of d = 6.97

Part B:

y-intercept is obtained when domain = 0

\($& d=0 \Rightarrow f(0)=11(1.01)^0=11 \times 1=11 \\\)

f(d) = 11

Part C:

Average rate of change,

\($\Delta \mathrm{f} / \Delta \mathrm{d} & =(\mathrm{f}(7)-\mathrm{f}(2)) /(7-2) \\\)

\($& =\left(11(1.01)^7-11(1.01)^2\right) / 5 \\\)

= 0.57 / 5 = 0.114

The y intercept of the graph of the function f(d) indicates f(d)=11 and the average rate of change of the function f(d) from d=2 to d=7 is 0.114, making 6.97 a reasonable domain to depict the growth function.

The complete question is:

A biologist is studying the growth of a particular species of algae. She writes the following equation to show the radius of the algae, f(d), in mm, after d days:

f(d) = 11(1.01)d

Part A: When the biologist concluded her study, the radius of the algae was approximately 11.79 mm. What is a reasonable domain to plot the growth function? (4 points)

Part B: What does the y-intercept of the graph of the function f(d) represent? (2 points)

Part C: What is the average rate of change of the function f(d) from d = 2 to d = 7, and what does it represent?

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6.97 is an appropriate domain in which to represent the growth function because the y intercept of the graph of the function f(d) suggests that f(d) = 11 and the average rate of change of the function f(d) from d = 2 to d = 7 is 0.114 as studied by biologist.

A mathematical statement that establishes the equality of two mathematical expressions is the definition of an equation in algebra.

A mathematical expression with two equal sides and an equal sign in the middle is called an equation. A mathematical statement establishing the equality of two numbers or values is called an equation.

Either identities or conditional equations are categories for equations. Each value of the variables corresponds to a specific identity. A conditional equation can only be true for a certain range of variable values. An equation is represented by two expressions being separated by the equals sign ("=").

Part A:

11.79 = 11(1.01

substitute the values in the above equation, we get

\((1.01)^{d}\) = 11.79 / 11

simplifying the equation, we get

  (1.01)^{0} = 1.071818

d = log 1.071818 / log 1.01

The value of d = 6.97

Part B:

y-intercept is obtained when domain = 0

d = 0

f(0) = 11\((1.01^{0} )\) = 11 * 1 = 11

f(d) = 11

Part C:

Average rate of change,

Δf / Δd  = (f(7) - f(2)) / 7-2

= 0.57 / 5 = 0.114

The y intercept of the graph of the function f(d) indicates f(d)=11 and the average rate of change of the function f(d) from d=2 to d=7 is 0.114, making 6.97 a reasonable domain to depict the growth function.

The complete question is:

A biologist is studying the growth of a particular species of algae. She writes the following equation to show the radius of the algae, f(d), in mm, after d days:

f(d) = 11(1.01)d

Part A: When the biologist concluded her study, the radius of the algae was approximately 11.79 mm. What is a reasonable domain to plot the growth function? (4 points)

Part B: What does the y-intercept of the graph of the function f(d) represent? (2 points)

Part C: What is the average rate of change of the function f(d) from d = 2 to d = 7, and what does it represent?

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c = 0.65n (option C)

4lbs of apple cost $2.60

1 lbs of apple =?

since 1 lbs of local fruit = $0.65,

the cost for n pounds of apples

c = cost per one × number of apples

c = $0.65 × n

c = 0.65n (option C)

The number of cows needed to satisfy the beef appetite would be 5263

With an average yield of 570 pounds (258.1 Kg.) of prepared beef per cow, we need to determine how many people can be fed from this amount. The number of people fed per cow can vary depending on various factors such as portion sizes and individual dietary preferences. Assuming a reasonable estimate, let's consider that one pound (0.45 Kg.) of prepared beef can feed about three people.

To find the number of cows needed to satisfy the beef appetite for New York City's population of approximately 9,000,000 people, we divide the population by the number of people fed by one cow. Thus, the calculation becomes 9,000,000 / (570 pounds x 3 people/pound).

After simplifying the equation, we get 9,000,000 / 1710 people, which equals approximately 5,263 cows. However, it's important to note that this is a rough estimate and does not consider factors such as variations in consumption patterns, distribution logistics, or other sources of meat supply. Additionally, individual dietary choices and preferences may result in different consumption rates. Therefore, this estimate serves as a general indication of the number of cows needed to satisfy the beef appetite for New York City's population.

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He stands 6 feet tall, and his shadow extends 9 feet. if the building's shadow extends for 322.5 feet.

Now 6/9 = X/322.5

9X = 1935

X = 215ft

The Height of the building = 215ft

Consider an object AB of height h such that its shadow of length s is formed and angle of elevation is θ.

The object AB depicts a right triangle in which ∠ABO = 90o.

Now we know that in trigonometry, the tangent ratio for an angle is equal to the opposite side to that angle divided by its adjacent side.

So, for the angle of elevation θ, we have

=> tan θ = AB/OB

Putting AB = h and OB = s, we get

=> tan θ = h/s

=> s/h = 1/tan θ

=> s = h/tan θ

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Answer:

i think it is c but i don't know

Step-by-step explanation:

give me a brainiest

Answer:

the blank would be tax.

Answer:

hey! the picture isnt loading.

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

275 divided by 32 in equal to 8.59, so you just have to round up  but that last trip just wont be full

Answer:

9 roller coaster rides. hope this helps!

Step-by-step explanation:

A roller coaster can hold 32 people at a time.

there are 275 people waiting in line.

How many trips will it take for there to be 0 people waiting in line?

We know the roller coaster can hold 32 people at a time, and 275 people are waiting in line.

275/32=8 rides and 19 people left.

If you don't know how to do that: 275 people at first. 275-32 because the roller coaster can only hold 32. Repeat that process untill you find your answer.    

So we have 8 rides, and 19 people left? It doesn't matter, It will not take, half the time left, or more time to get it done. So anything below or equal to 32 people will take the same amount of time. So our final answer is 9 rides. Not 8.59375.

Answer:

5066

Step-by-step explanation:

10 + 9 + 5047 = 5066

The answer is 5066

Answer:

5066

Step-by-step explanation:

(10 + 9) + 5047

Answer:

The linear equation is y = 450 - 30 x, where y is the number of pages

Lourdes has left to read after x days

Step-by-step explanation:

Each day, Lourdes reads 30 pages of a 450-page book

- We need to write a linear equation to represent the number of pages

 Lourdes has left to read after x days

∵ Lourdes reads 30 pages each day

∵ Lourdes will read for x days

∴ The number of pages Lourdes will read in x day = 30 x

- The left pages will be the difference between the total pages of the

 book and the pages Lourdes read

∵ The book has 450 pages

∵ Loured will read 30 x in x days

∴ The number of pages left = 450 - 30 x

- Assume that y represents the number of pages Lourdes has left

 to read after x days

∴ y = 450 - 30 x

The linear equation is y = 450 - 30 x, where y is the number of

pages Lourdes has left to read after x days

Answer:

X = 13

Step-by-step explanation:

42 - X = 29

Subtract 42 from each side

42-42 - X = 29-42

-X = -13

Multiply each side by -1

X = 13

Answer:

x = 15 and x = 10

Step-by-step explanation:

To complete the square for the quadratic equation -10x² + 250x - 1500 = 0, follow these steps:

1. Divide the entire equation by the coefficient of x² to make the coefficient of x² equal to 1:

-10x² + 250x - 1500 = 0

Dividing by -10, we get:

x² - 25x + 150 = 0

2. Move the constant term (in this case, 150) to the right-hand side of the equation:

x² - 25x = -150

3. Add the square of half of the coefficient of x to both sides of the equation:

x² - 25x + (25/2)² = -150 + (25/2)²

Note that (25/2)² = 625/4.

x² - 25x + 625/4 = -150 + 625/4

4. Simplify the right-hand side of the equation:

x² - 25x + 625/4 = 25/4

5. Factor the left-hand side of the equation as a perfect square trinomial:

(x - 25/2)² = 25/4

6. Take the square root of both sides of the equation:

x - 25/2 = ±5/2

7. Solve for x:

x = (25 ± 5)/2

x = 15 or x = 10

Therefore, the solutions to the equation -10x² + 250x - 1500 = 0 are x = 15 and x = 10.

Answer:

y = 4x - 9

Step-by-step explanation:

Same slope, so they're parallel

Answer:

4.2 ft

Step-by-step explanation:

Given the equation for the Law of Cosines, we can rewrite the equation to solve for "c" directly:

\(c^2=a^2+b^2-2ab(cosC)\\c=\sqrt{a^2+b^2-2ab(cosC)}\\c=\sqrt{7^2+8^2-2(7)(8)(cos32)}\\c=\sqrt{49+64-2(56)(cos32)}\\c=\sqrt{113-112(cos32)}\\c=\sqrt{113-94.98138677}\\c=\sqrt{18.01861323}\\c=4.244833711\\c=4.2\)

So the length of c is approximately 4.2 ft

Answer:

angle 1 is 145°

Step-by-step explanation:

this is because à horizontal line is always 180° so you jus have to subtract 35 from 180

The solution to the system of equations by combining them is x  = -6 and y = -6

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

6x - 8y = 12 and -4x+6y=-12

By combining the equations, we have

6x - 8y = 12

1.5( -4x + 6y = -12 )

Add the equations

-8y + 1.5 * 6y = 12 - 1.5 * 12

Evaluate

-8y + 9y = -6

So, we have

y = -6

This also means that

6x - 8(-6) = 12

So, we have

x - 8(-1) = 2

Evaluate

x  = -6

Hence, the solution is x  = -6 and y = -6

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Answer:

Step-by-step explanation:

\(n^4=625\\ \\ \sqrt[4]{n^4}=\sqrt[4]{625}\\ \\ n=5\)

Answer:

5

Step-by-step explanation:

i started big the broke it down:

25*25=625 so that didnt work

so i went to 15

15*15=225*15=3375 and that also didnt work

so i went to 5

5*5=25*5=125*5=625

A geometric series is the collection of an unlimited number of terms with a fixed ratio between them. The correct option is A.

A geometric series is the collection of an unlimited number of terms with a fixed ratio between them.

An geometric series is a series where the ratio of any two consecutive term is the same. Therefore, the nth term of a geometric series is given as,

\(a_n = a_1 \times r^{(n-1)}\\\\A(n) = P(1+i)^{n-1}\)

Hence, the correct option is A.

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Answer: 16

Step-by-step explanation:

\(f(x)=x^2 + 2x + 1\)

Since the coefficient of x^2 is 1, we know that the graph does *not* open downwards. However, the graph has been shifted left and right. This will make the maximum occur at a different place than normally.

Specifically, it has been shifted to the left, by 1 unit.

So the maximum will occur at x = 3.

lets plug in:

\(f(3)=(3)^2 + 2(3) + 1\)

\(f(3)=9 + 6 + 1\)

\(f(3)=16\)

The largest y valye is 16

Answer:

16

Step-by-step explanation:

Answer:

11, 15

Step-by-step explanation:

They both occur two times so they are tied for mode so both numbers is the answer

Answer: The answer is 37

Step-by-step explanation:

If you subtract 71 from 108 the answer is 37

Since the angles of (x + 71)º is opposite to the same vertex to the angle of 108º, it is found that x = 37º.

Applying the equality:

\(x + 71 = 108\)

\(x = 108 - 71\)

\(x = 37\)

Thus, x = 37º.

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The average rates of change for f(x)=0.1x squared, g(x)=0.3x squared is 0.5 and 1.3 over the interval [1,4].

In order to calculate the average rate of change of a function f(x) over an interval [a,b] we need to implement the formula

A(x) = {f(b) - f(a)] / (b – a)}

Here,

A(x)= average rate of change,

f(a) = value of function,

f(b) = value of function

given, from the question

f(x) = 0.1x^2

g(x) = 0.3x^2

The calculated interval is 1 ≤ x ≤ 4.

Therefore,

for f(x), we have staged the values as

A(x) = {f(4) - f(1)] / (4 - 1)}

= {(0.1 * 4^2) - (0.1 * 1^2)] / (4 - 1)}

= (1.6 - 0.1) / 3

= 0.5

for g(x), we have staged the values as

A(x) = {g(4) - g(1)] / (4 - 1)}

= {(0.3 * 4^2) - (0.3 * 1^2)] / (4 - 1)}

= (4.2 - 0.3) / 3

= 1.3

The average rates of change for f(x)=0. 1x squared, g(x)=0. 3x squared is 0.5 and 1.3 over the interval [1,4].

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