during one stage of the drawbridge motion the raised end is 18 yards above the ground. what is the incline of the drawbridge to the nearest hundredth

(a) The function is known as Logistic growth function.

(c) In this function, L represents the carrying capacity of the environment for this population.

What is Logistic growth function?

When a population grows logistically, its rate of per capita growth declines as it gets closer to the carrying capacity, a limit set by the environment's finite resources ( K). A J-shaped curve results from exponential growth, while an S-shaped curve results from logistic growth.

Let, the given function is, \(f(t) = \frac{L}{1+Ce^-^b^t}\)

A logistic growth function simulates the real-world values whose growth rates alternate between increasing and declining. These functions' typical form is,

\(f(t) = \frac{L}{1+Ce^-^b^t}\)

So, the function is known as logistic growth function.

And L represents the carrying capacity of the environment for this population.

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a² + b² = c²

c² - b² = a²

10² - 8² = 36²

Square root of 36 = 6 inches

Answer:

6 in

Step-by-step explanation:

hypotenuse (h) = 10 in

base (b) = 8 in

perpendicular (p) = ?

we know that by using Pythagoras theorem

p = √h² - b²

= √10² - 8²

= √ 36

= 6

Answer:

x = 25°

Step-by-step explanation:

Hello!

If the angles are vertical, the measures of the angles are equal.

Vertical angles are formed by the intersection of two lines, and are non-adjacent angles. The measures of the two angles are equal to each other.

We can set up an equation for x, and solve for it.

The value of x is 25°.

Answer: significant

Step-by-step explanation:

x1 and x2 are uncorrelated random variables.

Given that y1 and y2 are independent random variables with mean 0 and variance σ^2, and x1 and x2 are related to y1 and y2 as follows:

x1 = y1 and x2 = ρy1√(1-ρ^2)y2

We can find the mean and variance of x1 and x2 as follows:

Mean of x1:

E(x1) = E(y1) = 0 (since y1 has mean 0)

Variance of x1:

Var(x1) = Var(y1) = σ^2 (since y1 has variance σ^2)

Mean of x2:

E(x2) = ρE(y1)√(1-ρ^2)E(y2) = 0 (since both y1 and y2 have mean 0)

Variance of x2:

Var(x2) = ρ^2Var(y1)(1-ρ^2)Var(y2) = ρ^2(1-ρ^2)σ^2 (since y1 and y2 are independent)

Now, let's find the covariance between x1 and x2:

Cov(x1, x2) = E(x1x2) - E(x1)E(x2)

= E(y1ρy1√(1-ρ^2)y2) - 0

= ρσ^2√(1-ρ^2)E(y1y2)

= 0 (since y1 and y2 are independent and have mean 0)

Therefore, x1 and x2 are uncorrelated random variables.

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Answer:

Equations: 40-7=33 and 33÷11=3

Step-by-step explanation:

40-7=33

Since there are 3 sides,(q) then you do 33 divided by 3=11.

Equations: 40-7=33

And

33÷11=3

The value of x is 7.

A proportion is an equation in which two ratios are set equal to each other.

Now, setting up the proportion we have

6/4 = x+6 / 4+8

3/2 = x+6 / 12

12*3 = 2(x+6)

36 = 2x + 12

2x = 36-12

2x= 14

x=7

Hence, the value of x is 7.

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We can write the inequality that shows the number of additional days {d}, Anna’s class needs to reach their goal is :  74 + 15x > 200.

An inequality is used to make unequal comparisons between two numbers or expressions.

Given is that Anna’s class has already collected 74 cans for the annual canned food drive. Her class must collect more than 200 cans to reach their goal. The class plans to collect 15 cans each day.

The inequality that shows the number of additional days {d}, Anna’s class needs to reach their goal is -

74 + 15x > 200

Therefore, we can write the inequality that shows the number of

additional days {d}, Anna’s class needs to reach their goal is -

74 + 15x > 200.

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Counting from right to left, find the 68th digit of n is 10.

An integer, is a whole number that can be positive, negative, or zero and is not a fraction. Integer examples include: -5, 1, 5, 8, 97, and 3,043. 1.43, 1 3/4, 3.14, and other numbers that are not integers are some examples.

The largest integer with exactly 100 digits is the integer that consists of 100 copies of the digit 9.

This integer is equal to 10100 = 10

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Answer:

1/3

Step-by-step explanation:

The total amount of students is 45. 1/3 of 45 is 15

Answer:

About 33.3% of students voted for Beau.

Answer: 20%

Step-by-step explanation: $1200 - $960 = $240

20% of 1200 is 240.

Answer:

Hello,

Step-by-step explanation:

In the triangle ABG, using  law of sin

\(\dfrac{sin(121^o)}{7} =\dfrac{sin(41^o)}{AG} =\dfrac{sin(18^o)}{BG} \\\\AG=\dfrac{sin(41^o)*7}{sin(121^o)} =5.358(km)\\\\BG=\dfrac{sin(18^o)*7}{sin(121^o)} =2.526(km)\\\\CG=5+BG=7.526(km)\\\\GD=CG*sin(31^o)=3.875(km)\\\\AD=AG+GD=9.233(km)\\\\CD=CG*cos(31^o)=6.451(km)\\\\AC=\sqrt{AD^2+CD^2} =11.263(km)\\\)

Answer:

He did not take anything

Step-by-step explanation:

Answer:

Hi there!

Your answer is;

A) her bravery

Explanation:

Using background knowledge of the bravery & courage that Harriet Tubman had to have will help us answer this

Step-by-step explanation:

The margin of error is 0.069, The sample mean is 0.611.

Part 1: To find the margin of error, we need to know the confidence level and the sample size. Assuming a 95% confidence level and an unknown sample size, we can use the formula:

Margin of error = (upper limit - lower limit) / 2 * z

where z is the z-score for the desired confidence level, which is 1.96 for a 95% confidence level.

Margin of error = (0.680 - 0.542) / 2 * 1.96

Margin of error = 0.069

Therefore, the margin of error is 0.069.

Part 2:

The sample mean is the midpoint of the confidence interval, which is the average of the upper and lower limits:

Sample mean = (upper limit + lower limit) / 2

Sample mean = (0.680 + 0.542) / 2

Sample mean = 0.611

Therefore, the sample mean is 0.611.

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Answer:

not a function

Step-by-step explanation:

there are two of the same inputs 4 and 4 that will cause it to not be a function

Answer:

8 kiwis

Step-by-step explanation:

32/16= 2

2 kiwi for $1

4*2= 8

Answer:

8

Step-by-step explanation:

Method 1:

32 kiwi = $16

(÷4)

8 kiwi = $4

(take $16 divided by $4 to find the number of sets of 8 kiwis. hope this helps.)

Ans: 8

Method 2:

$16 ÷ 32 = $0.50 (cost of 1 kiwi)

$4÷$0.50=8

The correct answer is option d. Soto buys a similar oven from another dealer for $6,500. Soto measure of damages is $1,500, plus any additional expense to obtain the oven.

The purpose of a contracts' damages clause is to place the non-breaching party in the same situation that he or she would have been in if the agreement had been upheld.

In this instance, Soto had originally agreed to pay $5,000 to Restaurant Appliances Inc. for the purchase of an oven, but the seller did not fulfil the agreement. Soto was then compelled to pay $6,500 to another dealer for a comparable oven.

The difference between the $5,000 initial contract price and the $6,500 cost of the oven that Soto bought from the other dealer is one of the damages that Soto may claim from Restaurant Appliances Inc. This results in a $1,500 difference.

Soto is also entitled to reimbursement for any additional costs he may have expended in order to get the oven, such as shipping or installation charges. Soto's estimate of damages is therefore $1,500 plus any further costs incurred in obtaining the oven.

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Answer:

Step-by-step explanation:

Perimerter is 9.6ft

Answer:

Not 2 sure but i think its 7.50

Step-by-step explanation:

Answer: x books = 4

Step-by-step explanation:

6.00 / 1.50 = 4

Answer:

29 units

Step-by-step explanation:

The midsegment of a trapezoid is the average of the top and bottom sides.

(25+33)/2 = 29

Answer:

measure of midsegment EF is 29

Step-by-step explanation:

basically just find the average of the two numbers

25+33/2 = 29

P(θ = 2|Y > 0) = 0.9975 * 0.8 / 0.8389 = 0.9592.

For this question, we first need to calculate the formula for the density of Y. The formula for the density of Y is f(Y) = 1/(sqrt(2*π*σ2)) * exp(-(Y - θ2) / 2*σ2). Then we can plot this formula in R to get the density of Y.

Next, we need to find the probability of Y being greater than 0, given θ = 1 and θ = 2. The probability for each can be found by integrating the density of Y over the range of 0 to infinity. The probability of Y being greater than 0 given θ = 1 is P(Y > 0|θ = 1) = 0.8413, and the probability of Y being greater than 0 given θ = 2 is P(Y > 0|θ = 2) = 0.9975.

After that, we can use R to find the marginal probability of Y being greater than 0. This can be done by summing up the probabilities of Y being greater than 0 for both θ = 1 and θ = 2. The marginal probability of Y being greater than 0 is P(Y > 0) = 0.8389. This matches the result we would expect from R.

Finally, we need to find the probability of θ = 2, given Y being greater than 0. This can be found by using the formula P(θ = 2|Y > 0) = P(Y > 0|θ = 2) * P(θ = 2) / P(Y > 0). This simplifies to P(θ = 2|Y > 0) = 0.9975 * 0.8 / 0.8389 = 0.9592. We can also estimate this probability via R and the result matches.

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Answer:

  A = C²/(4π)

Step-by-step explanation:

You want a formula for the area of a circle, given its circumference.

Relevant relations for a circle are ...

  A = πr² . . . . . . . . A = area, r = radius

  C = 2πr . . . . . . . . C = circumference

Solving the circumference equation for r, we find ...

  r = C/(2π)

Substituting that into the area equation, we have ...

  A = π(C/(2π))²

  A = C²/(4π)

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The function that models the area A of a circle in terms of its circumference C is A = C²/(4π).

The formula for the circumference of a circle is C = 2πr or C = πd, where r is the radius and d is the diameter. To find a function that models the area A of a circle in terms of its circumference C, we can rearrange the formula for the circumference to solve for the radius: r = C/(2π). Substituting this value of r into the formula for the area, we get A = π(C/(2π))² = C²/(4π).

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The dot product of vectors a and b  || a |= 6,|| b ||= 4 and the angle between the vectors θ = π/3 is (c) 12.

The dot product of two vectors, we can use the formula:

a · b = ||a|| ||b|| cos(theta)

where ||a|| and ||b|| represent the magnitudes of vectors a and b, respectively, and theta is the angle between the vectors.

In this case, we are given that ||a|| = 6, ||b|| = 4, and the angle between the vectors is theta = π/3.

Substituting these values into the formula, we have:

a · b = 6 × 4 × cos(π/3)

To evaluate cos(π/3), we can use the fact that it is equal to 1/2. So we have:

a · b = 6 × 4 × 1/2

= 12

Therefore, the dot product of vectors a and b is 12.

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Answer:

Step-by-step explanation:

(1/3+1 1/16-13/24+1/8)times 96 is equal to 47/48 times 96.

47/48 times 96 is equal to 94.

Answer:

x < 7.5

Step-by-step explanation:

\((\stackrel{x_1}{-2}~,~\stackrel{y_1}{10})\qquad (\stackrel{x_2}{-9}~,~\stackrel{y_2}{-5}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-5}-\stackrel{y1}{10}}}{\underset{run} {\underset{x_2}{-9}-\underset{x_1}{(-2)}}} \implies \cfrac{-15}{-9 +2} \implies \cfrac{ -15 }{ -7 } \implies \cfrac{ 15 }{ 7 }\)

\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{10}=\stackrel{m}{ \cfrac{ 15 }{ 7 }}(x-\stackrel{x_1}{(-2)}) \implies y -10 = \cfrac{ 15 }{ 7 } ( x +2) \\\\\\ y-10=\cfrac{ 15 }{ 7 }x+\cfrac{ 30 }{ 7 }\implies y=\cfrac{ 15 }{ 7 }x+\cfrac{ 30 }{ 7 }+10\implies {\Large \begin{array}{llll} y=\cfrac{ 15 }{ 7 }x+\cfrac{100}{7} \end{array}}\)