Courtney Jones Sign Chart from Factored Function ? Jun 01, 9:06:50 PM Watch help video Plot the x-intercepts and make a sign chart that represents the function shown below. f(x) = (x + 1)²(x-2)(x-4)(

The time it will take the thermometer to hit the ground is 22 seconds

From the question, we are to determine the how long it would take the thermometer to hit the ground

From the given information,

The equation for the height as a function of time is

h(t) = -16t² + initial height

From the given information,

The thermometer falls from a weather balloon at a height of 7744 ft

∴ Initial height = 7744 ft

When the thermometer hits the ground, h(t) = 0

Thus, we get

0 = -16t² + 7744

16t² = 7744

t² = 7744/16

t² = 484

t = √484

t = 22 seconds

Hence, the time it will take the thermometer to hit the ground is 22 seconds

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\(e^{-5 \lambda}\) is the probability that we have to wait for more than 5 min for the bus to arrive.

So, \(f_X(x)=\lambda e^{-\lambda x}, x \geq 0\) ⇒ \(P(x \geq 5)=\int_5^{\infty} f_X(x) d x\)

Now, solving the above function as follows:

\(\begin{aligned}&P(x \geq 5)=\int_5^{\infty} f_X(x) d x \\&=\int_5^{\infty} \lambda e^{-\lambda x} d x \\&=\left.\right|_5 ^{\infty} \frac{\lambda e^{-\lambda x}}{-\lambda} \\&=\left.\right|_5 ^{\infty}-e^{-\lambda x} \\&=e^{-5 \lambda}\end{aligned}\)

Therefore, the probability that we have to wait for more than 5 min for the bus to arrive is \(e^{-5 \lambda}\).

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The correct question is given below:
Suppose that the buses arrive are scheduled to arrive at a bus stop at noon are always X minutes late, where X is an exponential random variable with probability density function  \(f_X(x)=\lambda e^{-\lambda x}, x \geq 0\). Suppose you arrive at the bus stop precisely at noon. Find the probability that you have to wait for more than 5 min for the bus to arrive

Answer:

1/4

Step-by-step explanation:

This is because you want to get x alone, so if you divide -12 on one side you have to do it on the other side, so you get -3/-12 which can be divided by -3 to be simplified to 1/4. Hope this helps!

Answer:

Step-by-step explanation:

-12x = -3

x = 12 : -3

x = 1/4

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

check

-12 * 1/4 = -3

-3 = -3

the answer is good

It will take 5 minutes to print a batch of newspapers if 20 printers are used.

What is proportionality?

Proportionality is a mathematical relationship between two variables, where one variable is a constant multiple of the other. In other words, two quantities are proportional if they maintain a constant ratio to each other, meaning that as one quantity increases or decreases, the other quantity changes in the same proportion.

We are given that the time it takes to print a batch of newspapers, m, is inversely proportional to the number of printers used, n, and the equation of proportionality is:

m = k/n

where k is a constant of proportionality. We are also given that when k = 100, the equation is satisfied. So we can substitute k = 100 into the equation to get:

m = 100/n

To find the time it will take to print a batch of newspapers if 20 printers are used, we can substitute n = 20 into the equation:

m = 100/20 = 5

So it will take 5 minutes to print a batch of newspapers if 20 printers are used. Rounded to 1 decimal place, the answer is 5.0 minutes.

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Answer:

9, 81, 144

Step-by-step explanation:

Answer:

4³ and 4 · 4 · 4

Step-by-step explanation:

4³ is the same as 4 · 4 · 4 (or 4 three times).

First We Need To Solve All The Expression:-

\((4) {}^{3} \\ = 4 \times 4 \times 4 \\ = 64\)

\(( {3})^{4} \\ = 3 \times 3 \times 3 \times 3 \\ = 81\)

\(\: \:\: \:4 \: ·4 \: ·4 \\ = 64\)

\(\: \:\: \:3 \: · \: 4 \\ = 12\)

\( \therefore \text{We Can See \underline{Expression (1)} And \underline{Expression (3)} are same}\)

The angle at which your friend is waving at you is calculated to be 11.31° using tan theta.

Given:

Opposite side of the triangle = 1000 m

Adjacent side of the triangle = 5000 m

We need to determine at what angle was your friend looking at you.

We know that,

tan ∅ = Opposite side/Adjacent side

         = 1000/5000

         = 0.2

∅ = 11.31°

Therefore, the angle at which your friend is waving is waving at you is found to be 11.31° .

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Based on the achievements, we can conclude that the Maya were an organized society with a clear social structure and foundations in science and art.

The Maya civilization flourished in present-day Mexico and Central America. The society was characterized by well-defined social structure which includs nobles, priests and commoners.

They were renowned for their advanced scientific knowledge including their sophisticated understanding of astronomy and mathematics which enabled them to create complex calendars and architectural wonders.

They were known for their exceptional artistic expressions which included intricate murals, sculptures, and pottery which are still revered today.

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Answer:

Step-by-step explanation:

i need points goodluck tho

Answer:

x= 58+46-180

z=x

y=z+13-180

Answer:

x = 3

Step-by-step explanation:

Brainliest Please!

Answer:

\(2x + 1 = 7 \\ 2x = 7 - 1 \\ 2x = 6 \\ x = \frac{6}{2} \\ x = 3\)

Answer: \(\dfrac{53}{16}\ \text{or}\ 3\dfrac{5}{16}\)

Step-by-step explanation:

Given

Length of board is \(16\ \frac{3}{4}\)

It is divided into 4 equal pieces i.e. length of each piece is

\(\Rightarrow \dfrac{\frac{64+3}{4}}{4}=\dfrac{67}{16}\ \text{in.}\)

If  \(\frac{7}{8}\) of an inch is removed from one of the pieces then,

\(\Rightarrow \dfrac{67}{16}-\dfrac{7}{8}\\\\\Rightarrow \dfrac{67}{16}-\dfrac{14}{16}=\dfrac{53}{16}\ \text{inch}\)

a) The union of all nonempty bit strings of length not exceeding n (⋃ni=1Ai) is the set of all nonempty bit strings of length 1 to n.

b) The intersection of all nonempty bit strings of length not exceeding n (⋂ni=1Aj) is an empty set, as there are no common bit strings among all Ai sets.

a) To find ⋃ni=1Ai, follow these steps:
1. Start with an empty set.
2. For each i from 1 to n, add all nonempty bit strings of length i to the set.
3. Combine all sets to form the union.


b) To find ⋂ni=1Aj, follow these steps:
1. Start with the first set A1, which contains all nonempty bit strings of length 1.
2. For each set Ai (i from 2 to n), find the common elements between Ai and the previous sets.
3. As there are no common elements among all sets, the intersection is an empty set.

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Answer:

24

Step-by-step explanation:

120

---------

24

The required answers are:

Exercise 79: No solution for all values of "k".

Exercise 80: Exactly one solution for all values of "k".

Exercise 81: Infinitely many solutions for all values of "k".

Exercise 82: No solution for all values of "k".

Exercise 83: Infinitely many solutions for all values of "k".

Exercise 84: Infinitely many solutions for all values of "k".

Using the concept of the system of linear equations, we can determine the number of solutions for each exercise:

No solution:

Equations: x + ky = 2, kx + y = 4

For a unique solution, the slopes of the two lines formed by the equations should be different. In this case, the slopes are k and 1, respectively. Since a1/b1 = k/1 is not equal to a2/b2 = 1/k, there is no common slope. Therefore, for exercise 79, there is no solution for all values of "k".

Exactly one solution:

Equations: x + ky = 0, kx + y = 0

For exactly one solution, the slopes of the two lines formed by the equations should be different. In this case, the slopes are k and 1, respectively. Since a1/b1 = k/1 is not equal to a2/b2 = 1/k, the slopes are different. Therefore, for exercise 80, there is exactly one solution for all values of "k".

Infinitely many solutions:

Equations: kx + 2ky + 3kz = 4k, x + y + z = 0, 2x - y + z = 1

For infinitely many solutions, the slopes of the planes formed by the equations should be equal. In this case, a1/b1 = a2/b2 = 1/2 = c1/c2. Therefore, for exercise 81, there are infinitely many solutions for all values of "k".

No solution:

Equations: x + 2y + kz = 6, 3x + 6y + 8z = 4

For a unique solution, the slopes of the planes formed by the equations should be different. In this case, a1/b1 = 1/2 is not equal to a2/b2 = 3/6 = 1/2. Therefore, for exercise 82, there is no solution for all values of "k".

Infinitely many solutions:

Equations: 4x + ky = 6, kx + y = -3

For infinitely many solutions, the slopes of the lines formed by the equations should be equal. In this case, a1/b1 = 4/k is equal to a2/b2 = k/1. Therefore, for exercise 83, there are infinitely many solutions for all values of "k".

Infinitely many solutions:

Equations: kx + y = 16, 3x - 4y = -64

For infinitely many solutions, the slopes of the lines formed by the equations should be equal. In this case, a1/b1 = k/1 is equal to a2/b2 = 3/-4 = -3/4. Therefore, for exercise 84, there are infinitely many solutions for all values of "k".

Thus, the required answers are:

Exercise 79: No solution for all values of "k".

Exercise 80: Exactly one solution for all values of "k".

Exercise 81: Infinitely many solutions for all values of "k".

Exercise 82: No solution for all values of "k".

Exercise 83: Infinitely many solutions for all values of "k".

Exercise 84: Infinitely many solutions for all values of "k".

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Answer: The correct answer is 96 inches

Step-by-step explanation: hope this helps

d

I took the test because me

Answer:

64 square centimeters

Step-by-step explanation:

The surface are of a pyramid is found by finding the sum of the area of the four sides and the base.

Finding the triangular face:

Area of triangle = \(\frac{1}{2} b h\) = \(\frac{1}{2}*4*6 = 12\)

12 * 4 (4 sides) = 48 square cm

Finding the Base = \(w * l = 4 * 4 = 16\)

Finally, we add it together. 48 + 16 = 64

12 ≡ 7 + 5 ≡ 5 (mod 7)

so

12 + 12 + 12 + 12 ≡ 4•12 ≡ 4•5 ≡ 20 ≡ 14 + 6 ≡ 6 (mod 7)

Answer:

X = 29.9

Step-by-step explanation:

Trigonometric Ratios

The ratios of the sides of a right triangle are called trigonometric ratios.

The longest side of the triangle is called the hypotenuse and the other two sides are the legs.  

Selecting any of the acute angles as a reference, it has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides.

Selecting the angle of 18°:

Tangent Ratio:

\(\displaystyle \tan 18^\circ=\frac{\text{opposite leg}}{\text{adjacent leg}}\)

\(\displaystyle \tan 18^\circ=\frac{X}{92}\)

Solving for X:

\(\displaystyle X=92\tan 18^\circ\)

Operating:

\(\displaystyle X=92*0.325\)

X = 29.9

a) The probability that the shark attack happened in Brazil is 33/540 or approximately 0.061. b) The probability that the shark attack happened in Brazil and was fatal is 12/540 or approximately 0.022.

a) The probability that the shark attack happened in Brazil is 33/540 or approximately 0.061.

b) The probability that the shark attack happened in Brazil and was fatal is 12/540 or approximately 0.022.

c) The probability that the shark attack was fatal given that it happened in Brazil is 12/33 or approximately 0.364.

d) Using the conditional probability rule, we have P(Fatal|Brazil) = P(Brazil and Fatal) / P(Brazil) = (12/540) / (33/540) = 12/33 or approximately 0.364, which is the same answer as in part (c).

e) To find the probability that the shark attack happened in Brazil or was fatal, we need to add the probabilities of these two events and subtract their intersection. This gives us (33/540) + (70/540) - (12/540) = 91/540 or approximately 0.169.

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The least number that has 4 odd factors and can have only 1 and itself as factors, with each factor greater than 1, is 9.

Step 1: Start with the prime factorization of the number. Since the number has only 1 and itself as factors, it must be a prime number or the square of a prime number.

Step 2: We know that a prime number has only 2 factors: 1 and itself. So, it cannot be the answer.

Step 3: Let's consider the square of a prime number. In this case, the prime number must be odd, since we need all factors to be odd. The smallest odd prime number is 3.

Step 4: Square of 3 is 9, and it has factors 1, 3, 3, and 9. All four factors are odd, and each factor is greater than 1.

Thus, the least number that satisfies all the given conditions is 9.

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The function \(f(x)=(logn)2+2n+4n+logn+50 belongs to the Θ(n)\) complexity category, in accordance with the big theta notation.

Let's get started with the solution to the given problem.

The given function is:

\(f(x) = (logn)2 + 2n + 4n + logn + 50\)

The term 4n grows much more quickly than logn and 2n.

So, as n approaches infinity, 4n dominates these two terms, and we may ignore them.

Thus, the expression f(x) becomes:

\(f(x) ≈ (logn)2 + 4n + 50\)

Next, we can apply the big theta notation by ignoring all of the lower-order terms, because they are negligible.

Since 4n and (logn)2 both grow at the same rate as n approaches infinity,

we may treat them as equal in the big theta notation.

Therefore, the function f(x) belongs to the Θ(n) complexity category as given in the question,

which is a correct option.

Alternative way of solving:

Given function:

\(f(x) = (logn)2 + 2n + 4n + logn + 50\)

Hence, we can find the upper and lower bounds of the given function:

\(f(x) = (logn)2 + 2n + 4n + logn + 50<= 4n(logn)2 (\)\(using the upper bound of the function)\)

\(f(x) = (logn)2 + 2n + 4n + logn + 50>= (logn)2 (using the lower bound of the function)\)

So, we can say that the given function belongs to Θ(n) category,

which is also one of the options mentioned in the given problem.

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The answer is 0 painted unit-cube faces hidden in the interior of the cube.

To find the number of painted unit-cube faces hidden in the interior of the 44-by-44-by-44 cube, we need to calculate the number of painted unit cubes on the surface of the larger rectangular solid.

The surface area of the 2-by-44-by-88 rectangular solid consists of the top and bottom faces (2 faces of size 44 by 88), the front and back faces (2 faces of size 2 by 88), and the four side faces (4 faces of size 2 by 44). Therefore, the total surface area of the larger rectangular solid is:

2(44 * 88) + 2(2 * 88) + 4(2 * 44) = 7744 + 352 + 352 = 8048 square units.

Since each unit cube has 6 faces, we divide the surface area of the larger rectangular solid by 6 to determine the number of painted unit cubes on the surface:

8048 / 6 = 1341.33.

Since we can't have a fraction of a cube, we round down to the nearest whole number, giving us 1341 painted unit cubes on the surface.

Now, the 44-by-44-by-44 cube is formed by reassembling the unit cubes. Since the entire surface of this cube is red, all the painted unit cubes on the surface remain visible. Therefore, the number of painted unit-cube faces hidden in the interior of the cube is:

Number of painted unit-cube faces on the surface - Number of painted unit-cube faces on the surface of the 44-by-44-by-44 cube

= 1341 - (44 * 44 * 6)

= 1341 - 11616

= -10275.

However, we cannot have a negative number of painted unit-cube faces. This indicates that there are no hidden painted unit-cube faces in the interior of the cube.

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Answer:

b=136, c=44, d=44

Step-by-step explanation:

B is the same measure as A. C = D and A+B+C+D=360; C+D=88; C=44; D=44

Samantha works at a nursery where sh pots plants. It takes her 1-1/2 hours to pot 12 plants. So, Samantha takes7.5 minutes to pot one plant.

Samantha takes 1-1/2 hours to pot 12 plants. To find out how long it takes her to pot one plant, we need to divide the total time taken by the number of plants potted.

There are a few steps we can take to simplify the calculation. First, we can convert 1-1/2 hours to a decimal by adding 1 to 1/2, which gives us 1.5 hours. Then, we can divide 1.5 hours by 12 plants to find the time it takes to pot one plant.

1-1/2 hours = 1.5 hours

Time taken to pot one plant = 1.5 hours / 12 plants

Time taken to pot one plant = 0.125 hours per plant

Finally, we can convert hours to minutes by multiplying by 60.

0.125 hours per plant = 7.5 minutes per plant

Therefore, it takes Samantha 7.5 minutes to pot one plant.

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Question:

Samantha works at a nursery where she pots plants. It takes her 1 1/2 hours to pot 12 plants. How many plants can Samantha pot in 1 hour? (Please give me the equation you used.)

Answer: BeleveNtEen

Step-by-step explanation:

you add the two with the two and then bAmm!! BelEVenTEen.

We need to  know about margin of error to solve the problem. The factors that influence margin of error are confidence level and sample size.

Margin of error is a statistic expressing the amount of random sampling error in the results of a survey. The larger the margin of error, the less confidence one should have that a poll result will reflect the result of a census of the entire population. Margin of error is influenced by three factors, confidence level, sample size and population standard deviation. In absence of population standard deviation, the margin of error is influenced by confidence level and sample size.

Therefore the margin of error is influenced by confidence level and sample size.

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