Cameron is designing a paper airplane (Someone Please Help, Due in 10 minutes)

Answer:

1.85 seconds

Step-by-step explanation:

1.85 is when the ball reaches it’s highest point and 3.7 is when it returned to the ground so:

3.7 - 1.85 = 1.85

Answer: 27/45 > 20/45

Step-by-step explanation:

You must make the denominator of each fraction equivalent while keeping the value of each individual fraction the same.

3/5 x (9/9) = 27/45

4/9 x (5/5) = 20/45

27/45 > 20/45

Answer: 27/45 > 20/45

Step-by-step explanation:

You must make the denominator of each fraction equivalent while keeping the value of each individual fraction the same.

3/5 x (9/9) = 27/45

4/9 x (5/5) = 20/45

27/45 > 20/45

Answer: 30

Step-by-step explanation:

Answer:

10.

Step-by-step explanation:

First of all, the little 2 stands for multiply by 2 so multiply 5 by 2 then you will get 10. Add 10 and 10 so you will get 20. Then divide 20 by 2 and you will get 10!

Hope it helps!

OwO

The isoelectric point (pI) for histidine is 3.92. The correct answer is option (b).

To determine the isoelectric point (pI) for histidine, we need to consider the pKC, pKN, and pKR values, which are 1.80, 9.33, and 6.04, respectively. The isoelectric point is the pH at which the amino acid has a neutral charge.
Step 1: Identify the two relevant pK values. Since histidine has three ionizable groups, we need to find the two pK values that involve the amino and carboxyl groups. These are pKC (1.80) and pKR (6.04).

Step 2: Calculate the average of these two pK values: (1.80 + 6.04) / 2 = 3.92.
The isoelectric point (pI) for histidine is 3.92, which corresponds to option b. This means that at a pH of 3.92, histidine will have a neutral charge.

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Answer:

True

Step-by-step explanation:

\(x^{2} -6x=9\)

subtract \(9\) from both sides

\(x^{2} -6x-9\)

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The value of constant of proportionality is, 9,400

Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.

Given that;

The local dam lets 75,200 gallons pass through it over the course of 8 hours on Wednesday.

And, On Thursday, the dam lets 141,000 gallons pass through it over the course of 15 hours.

Now, We know that;

By the definition of proportionality,

⇒ y = kx

Where, k is constant of proportionality.

Let y represent the number of gallons and x represent the number of hours.

So, We get;

For The local dam lets 75,200 gallons pass through it over the course of 8 hours on Wednesday.

⇒ y = kx

⇒ 75,200 = k × 8

⇒ k = 9,400

And, On Thursday, the dam lets 141,000 gallons pass through it over the course of 15 hours.

⇒ y = kx

⇒ 141,000= k × 15

⇒ k = 9,400

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The transformations to the graph of the quadratic function are given as follows:

A translation happens when either a figure or a function is moved horizontally or vertically on the coordinate plane.

The four translation rules for functions are defined as follows:

Additionally, when the function is multiplied by |a| > 1, it is said that the function is vertically stretched by a factor of a.

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So, the variance of the number of tornadoes in a year given that at least one tornado occurs is 3.

The Poisson distribution is a discrete probability distribution that describes the number of events that occur in a fixed interval of time or space, given the average number of events per interval.

For a Poisson distribution with mean λ, the variance is equal to λ.

Given that at least one tornado occurs in a year, the mean number of tornadoes is 3. Therefore, the variance is also equal to 3.

So, the variance of the number of tornadoes in a year given that at least one tornado occurs is 3.

It's worth noting that this result is based on the assumption that the number of tornadoes follows a Poisson distribution with mean 3, which may not always be the case in real-world scenarios. The actual number of tornadoes in a given year can be influenced by various factors such as climate, weather patterns, and geography.

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Part A

The equation has two solutions since it is an absolute equation.

Part B

Given the equation:

First, subtract 9 from both sides.

Next, we divide both sides by -5.

We then solve the absolute value.

The solutions for this equation are 3 or -13/4.

Answer:

Step-by-step explanation:

Permutations and combinations are mathematical concepts that deal with counting the number of different arrangements or selections of objects from a set.

Permutations:

A permutation is an arrangement of objects in a specific order. For example, consider a set of three letters: A, B, and C. There are 3! = 6 possible permutations of these letters, which are ABC, ACB, BAC, BCA, CAB, and CBA. The notation "3!" is the factorial notation, which means 3 × 2 × 1.

Combinations:

A combination is a selection of objects, where the order does not matter. For example, consider a set of three letters: A, B, and C. There are 3 C 2 = 3 possible combinations of two letters from this set, which are AB, AC, and BC. The notation "3 C 2" is the combination notation, which means the number of ways to choose k objects from a set of n objects.

In summary, permutations deal with the arrangement of objects in a specific order, while combinations deal with the selection of objects without regard to the order.

1. We can conclude that T(n) = 1 + 5(n-1).

2. This recurrence relation can be solve as  T(n) = O(n²).

(1) T(n) = {1, T(n-1) + 5} for n = 1, and for n ≥ 2

To solve this recurrence relation, we can use the substitution method.

We'll start by finding the pattern for a few values of n:

T(1) = 1

T(2) = T(1) + 5 = 1 + 5 = 6

T(3) = T(2) + 5 = 6 + 5 = 11

T(4) = T(3) + 5 = 11 + 5 = 16

From the pattern, we can observe that T(n) = T(n-1) + 5 = T(n-2) + 5 + 5 = T(n-3) + 5 + 5 + 5 = ... = T(1) + 5(n-1).

Therefore, we can conclude that T(n) = 1 + 5(n-1).

(2) T(n) = {1, 3T(n/2) + n^2} for n = 1, and for n ≥ 2

To solve this recurrence relation, we can use the recursion tree method.

First, let's build the recursion tree:

                       T(n)

                 /                 \

             T(n/2)          T(n/2)

              /   \                /   \

          T(n/4) T(n/4) T(n/4) T(n/4)

           /   \     /   \     /   \     /   \

        ...      ...  ...     ...    ...  ... ...

The height of the recursion tree is log₂n, and at each level, the work done is n². Therefore, the total work done can be calculated by multiplying the work done at each level by the number of nodes at that level.

Total work = n² + 2(n/2)² + 4(n/4)² + ... + 2ᵏ(n/2ᵏ)²

The recursion tree terminates when n/2ᵏ = 1, which implies k = log₂n.

Using the formula for the sum of geometric series, we can simplify the total work:

Total work = n²(1 + 1/2² + 1/4² + ... + 1/(2^(log₂n))²)

= n²(1 + 1/4 + 1/16 + ... + 1/n²)

= n²(1 - 1/(4^log₂n))/(1 - 1/4)

= n²(1 - 1/n²)/(3/4)

= 4/3 n² - 4/3

Therefore, T(n) = O(n²).

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A rhombus with MK = 24 m, JL = 20, ∠MJL = 50°. So, NK = 24 m, NL = 24.8 m, ML = 24.8 m, and JM = 20 m.

We need the information about the measurements or a description of the missing measures in the rhombus. We can make it MK = 24 m, JL = 20, ∠MJL = 50° for example. Since it's a rhombus, all sides are equal in length. Therefore, NK = MK = 24 m, JM = JL = 20 m, and ML = NL.

To find ML (or NL), we can use the Law of Cosines on the triangle MJL. In this case,

ML² = JM² + JL² - 2(JM)(JL)cos(∠MJL):

ML² = 20² + 20² - 2(20)(20)cos(50°)

ML² = 400 + 400 - 800cos(50°)

ML² ≈ 617.4

Taking the square root of both sides, we get ML ≈ √617.4 ≈ 24.8 m.

So, NK = 24 m, NL = 24.8 m, ML = 24.8 m, and JM = 20 m.

The complete question is The quadrilateral below is a rhombus. Given MK = 24 m, JL = 20, ∠MJL = 50°. Find NK, NL, ML, and JM. Any decimal answers should be rounded to the nearest tenth.

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Answer:

Step-by-step explanation:

15x+5y=8-3x

18x+5y=8⇒eqn 1

15x+5y=20y

15x-15y=0⇒eqn 2

eqn 1 * 3

 54x + 15y=24⇒eqn 3

eqn 3 + eqn 2

69x=24

x=24/69=0.3478

eqn  1⇒

    5y=8-18(24/69)

     y=1.7391/5

     y=0.3478

The solution to the system of equations is (10/3, -2).

Two or more expressions with an equal sign are defined as an equation.

The given equations are 15x + 5y = 20 and y = 8-3x.

15x + 15y = 20

Substitute y = 8-3x into the above equation:

15x + 15(8-3x) = 20

15x + 120 - 45x = 20

45x - 15x = 120 - 20

30x = 100

x = 10/3

Substitute x = 10/3 in y = 8 - 3x:

y = 8 - 3 (10/3)

y = 8 - 10

y = -2

Hence, the solution to the system of equations is (10/3, -2).

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Answer:

y= -5/3x + 4

Step-by-step explanation:

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The equation of the circle with a radius of 111 and a center at (9, 5) is:

To determine the equation of a circle, we use the standard form equation:

\((x - h)^2 + (y - k)^2 = r^2\)

Where (h, k) represents the center coordinates of the circle, and r represents the radius.

In this case, the center of the circle is (9, 5), and the radius is 111. Plugging these values into the equation, we have:

(x - 9)^2 + (y - 5)^2 = 111^2

Expanding and simplifying further:

\((x - 9)^2 + (y - 5)^2 = 12321\)

Therefore, the equation of the circle with a radius of 111 and a center at (9, 5) is:

(x - 9)^2 + (y - 5)^2 = 12321

This equation represents all the points (x, y) that are equidistant from the center (9, 5) by a distance of 111 units, forming a circle shape.

To graphically represent the circle, plot the center point (9, 5) on a coordinate plane and then draw the circle with a radius of 111 units around it. Any point on the graph that satisfies the equation will lie on the circle, while points outside the circle will not satisfy the equation.

It's important to note that the equation of a circle can also be expressed in other forms, such as the general form or parametric form. However, the standard form equation provided above is commonly used for representing circles.

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The statement that is true about the equation 3(-y + 7) = 3(y + 5) + 6 is;

Statement A; The equation has one solution, y = 0

The given equation is;

3(-y + 7) = 3(y + 5) + 6

Expanding the brackets gives us;

-3y + 21 = 3y + 15 + 6

-3y + 21 = 3y + 21

Using subtraction property of equality, subtract 21 from both sides to give;

-3y = 3y

Using addition property of equality, add 3y to both sides to give;

-3y + 3y = 3y + 3y

6y = 0

Using division property of equality, divide both sides by 6 to get;

y = 0

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The missing statements are;

A. The equation has one solution, y = 0.

B. The equation has one solution, y = -1.

C. The equation has no solution.

D. The equation has infinitely many solutions.

Probability is a measure of the likelihood of an event occurring, expressed as a number between 0 and 1. It is calculated based on the number of favorable outcomes divided by the total number of possible outcomes.

To solve this problem, we will use the formula for probability of independent events:

P(A and B and C) = P(A) x P(B|A) x P(C|A and B)

where P(A) is the probability of the first event, P(B|A) is the probability of the second event given that the first event has occurred, and P(C|A and B) is the probability of the third event given that the first two events have occurred.

a.) Probability of drawing three red balls in succession:

P(RRR) = (24/81) x (23/80) x (22/79) = 0.027 or 2.7%

b.) Probability of drawing three green balls in succession:

P(GGG) = (27/81) x (26/80) x (25/79) = 0.061 or 6.1%

c.) Probability of drawing three blue balls in succession:

P(BBB) = (30/81) x (29/80) x (28/79) = 0.080 or 8.0%

Therefore, the probability of drawing all three balls of the same color without replacement from the box are:
a.) 2.7%
b.) 6.1%
c.) 8.0%

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The function θ : p(z) → p(z) defined as θ(x) = x is injective and surjective, therefore bijective.

The function θ(x) = x takes an element x from the set p(z) and returns the same element x. This means that for any input x in p(z), the function simply returns x as the output.

To determine whether θ is injective, we need to check if distinct inputs produce distinct outputs. In this case, since the function θ simply returns the input element x, it is evident that if two different elements are provided as input, they will always produce different outputs. Thus, θ is injective.

To assess the surjectivity of θ, we need to determine if every element in the codomain p(z) has a corresponding preimage in the domain p(z). In this scenario, since the function θ returns the same element x that is provided as input, it covers all elements in p(z). Therefore, for any given element in the codomain, there exists a preimage in the domain. Hence, θ is surjective.

Since the function θ is both injective and surjective, it is bijective. This means that for every input element x, there is a unique output element x, and every element in the codomain p(z) has a corresponding preimage in the domain p(z).

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Answer:

a. The number of custom necklaces that can be manufactured if each requires 2 7/8 ounces of gold is 74 necklaces.

b. The value of the gold in each necklace is $1761

Step-by-step explanation:

(a) Number of necklaces

2\(7/8\) ounces of gold=2.875

No of necklaces=212.75oz x 1 necklaces/2.875oz

                          =74 necklaces

(b)Value of gold in each necklace

There are 2.875 oz of 14K gold in each necklace. Pure gold is 24K.

Mass of pure gold=2.875oz x 14k/24k

                              =1.677083oz

Pure 24K gold is worth $1050/oz.

Value of pure gold=1.677oz x 1050/1oz

                              = 1760.9 dollars

The value of the gold in each necklace is $1761

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The number of custom necklaces that can be manufactured if each requires 2 7/8 ounces of gold is 74 necklaces and the value of the gold in each necklace is $ 1761.

2 ounces of gold = 2.875 oz.

Number of necklaces = 212.75 oz. x 1 necklaces / 2.875 oz.

                         = 74 necklaces

Value of gold in each necklace

There are 2.875 oz. of 14K gold in each necklace.

Mass of pure gold=2.875 oz. x 14 k / 24 k

                             = 1.677083 oz.

Pure 24K gold is worth $ 1050 / oz.

Value of pure gold= 1.677oz x 1050 / 1oz

                             = 1760.9 dollars

The value of the gold in each necklace is $1761

Therefore, the number of custom necklaces that can be manufactured if each requires 2 7/8 ounces of gold is 74 necklaces and the value of the gold in each necklace is $ 1761.

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Answer:

C

Step-by-step explanation:

x + 6 not hard

Answer:

Is C friend

Step-by-step explanation:

The expression that represents 6 more than x is x + 6. You can also rewrite this as 6 + x, but there is no need.

Answer:4

Step-by-step explanation:

4

Answer:

4

Step-by-step explanation:

The required answer is based on survey results, it can be concluded that 23% of females feel overloaded with too much information compared to 17% of males.

To represent the information in a visual way, a stacked bar chart would be a suitable choice. The chart will have two stacked bars representing the "Yes" and "No" responses, and each bar will be divided into two segments for males and females. The height of the segments will be proportional to the number of respondents in each category.

b. The insights provided by the chart include:

A clear comparison between males and females in terms of feeling overloaded with too much information.

The relative proportions of males and females who feel overloaded or not.

The overall distribution of responses among the surveyed population.

The difference in the percentage of females (23%) and males (17%) who feel information overload.

By visualizing the data in this way, it becomes easier to understand and compare the responses of males and females, enabling us to identify gender-related differences in the perception of information overload.

The actual values from the survey should be used for an accurate representation.

Therefore, based on the survey results, it can be concluded that 23% of females feel overloaded with too much information compared to 17% of males.

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The function y = ln(x) - x^2 has two local maxima at x = √(1/2) and x = -√(1/2).

To find the local maxima and minima of the function y = ln(x) - x^2, we need to find the critical points by taking the derivative and setting it equal to zero:

y = ln(x) - x^2

y' = 1/x - 2x

Setting y' = 0, we have:

1/x - 2x = 0

Simplifying, we get:

1 - 2x^2 = 0

2x^2 = 1

x^2 = 1/2

x = ±√(1/2)

So the critical points are x = √(1/2) and x = -√(1/2). To determine whether these critical points correspond to local maxima or minima, we can use the second derivative test.

Taking the second derivative of the function:

y'' = -1/x^2 - 2

For x = √(1/2):

y'' = -1/(√(1/2))^2 - 2 = -1/1/2 - 2 = -2 - 2 = -4

Since the second derivative is negative, this confirms that x = √(1/2) is a local maximum.

For x = -√(1/2):

y'' = -1/(-√(1/2))^2 - 2 = -1/1/2 - 2 = -2 - 2 = -4

Again, the second derivative is negative, confirming that x = -√(1/2) is also a local maximum.

Therefore, the function y = ln(x) - x^2 has two local maxima at x = √(1/2) and x = -√(1/2).

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The standard deviation is a more technical measure and may not be as easily understood by a high school student is 50%

A histogram is a graph that represents the distribution of data. It uses bars to show the frequency of data within different ranges or bins. The height of each bar represents the number of observations within that bin.

In the case of the life expectancies at birth for 190 countries, the histogram shows the frequency of the different ranges of life expectancies. To describe the spread of the data, we can use either the standard deviation or the interquartile range (IQR).

The standard deviation is a measure of how far each observation is from the mean of the data set. It is calculated by finding the difference between each observation and the mean, squaring those differences, and taking the average of the squared differences. The standard deviation gives a measure of the amount of variability in the data.

The IQR is a measure of the spread of the data that is based on the middle 50% of the observations.

It is calculated by finding the first quartile (25th percentile), the median (50th percentile), and the third quartile (75th percentile).

The IQR is then defined as the difference between the third quartile and the first quartile.

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Answer:

Isosceles triangle

Answer:

Step-by-step explanation:

Answer:

Your answer would be C

6 (A) + 4 (B) = 10

6 (A) - 4 (B) = 2

The probability that both jurors selected are female is 1/6. To calculate the probability that both jurors selected are female,.

We need to determine the number of favorable outcomes (two female jurors selected) divided by the total number of possible outcomes.

In this scenario, there are two female alternate jurors available out of a total of four alternates. Since we need to select two jurors, we can use combinations to calculate the number of possible outcomes.

The number of possible outcomes is given by selecting 2 jurors out of 4, which can be calculated as:

C(4, 2) = 4! / (2! * (4-2)!) = 6

Therefore, there are 6 possible outcomes.

Out of these possible outcomes, we are interested in the favorable outcome where both selected jurors are female. Since there are two female alternate jurors available, we can calculate the number of favorable outcomes by selecting 2 female jurors out of 2, which is:

C(2, 2) = 2! / (2! * (2-2)!) = 1

Therefore, there is 1 favorable outcome.

Now, we can calculate the probability:

Probability = Number of favorable outcomes / Number of possible outcomes

= 1 / 6

= 1/6

Thus, the probability that both jurors selected are female is 1/6.

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The solution of the system of linear equations 2x + y = 5 and 3x - 2y = 4 is x = 2, y = 1.

To find the solution of the pair of equations, 2x + y = 5 and 3x - 2y = 4, we can use different methods.

You can use elimination method to solve the system of linear equations. The elimination method consists of eliminating one of the variables by adding or subtracting the equations.

Multiply the first equation by 3 and the second equation by 2.

6x + 3y = 15

6x - 4y = 8

Subtract second equation from first:

7y = 7

y = 1

Substitute this value of y in the first equation:

2x + (1) = 5

2x = 4

x = 2

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Answer:

let that man's age be x :

\(300 - 3x = 6\)

subtract 300 from both sides:

\((300 - 3x) - 300 = 6 - 300 \\ - 3x = - 294\)

apply the division rule of equality:

\( \frac{ - 3x}{ - 3} = \frac{ - 294}{ - 3} \\ \\ x = 98\)

The man is 98 years

Answer:

the man is 98 years old.... please give me brainliest

Step-by-step explanation:

\(300 - 3 \times x = 6 \\ 300 - 3x =6 \\ - 3x = 6 - 300 \\ - 3x = - 294 \\ divide \: both \: sides \: by \: - 3 \\ - 3x \div 3 = 294 \div 3 \\ x = 98\)