i need help asappppppppppppp

1) The distance between two points with the following coordinates:

(0, 3) , (-2, 3) is 2 units.

2)  the distance between points A and B is √53 units.

3) the distance between EF is √(349).

4) the midpoint between G(7,-5) and H(9,-1) is M(8,-3).

5) the midpoint between A(-7, 1) and B(3, -4) is (-2, -1.5).

1 )

To find the distance between two points, we can use the distance formula:

d = √[(x₂ - x₁)² + (y₂ - y₁)²]

Let's plug in the coordinates we have:

d = √[(-2 - 0)² + (3 - 3)²]

d = √[4 + 0]

d = √4

d = 2

Therefore, the distance between the two points (0, 3) and (-2, 3) is 2 units.

2) Using the distance formula:

d = √[(x2 - x1)² + (y2 - y1)²]

where (x1, y1) = A and (x2, y2) = B

d = √[(3 - (-4))² + (-1 - 1)²]

= √[7² + (-2)²]

= √[49 + 4]

= √53

Therefore, the distance between points A and B is √53 units.

3)

Using the distance formula:

distance EF = √((11 - (-7))^2 + (3 - (-2))^2)

distance EF = √(18^2 + 5^2)

distance EF = √(324 + 25)

distance EF = √(349)

So, the distance between EF is √(349).

4) To find the midpoint between two points, we take the average of their x-coordinates and the average of their y-coordinates.

Let's apply this formula to points G and H:

Midpoint_x = (G_x + H_x)/2 = (7 + 9)/2 = 8

Midpoint_y = (G_y + H_y)/2 = (-5 + (-1))/2 = -3

Therefore, the midpoint between G(7,-5) and H(9,-1) is M(8,-3).

5)

To find the midpoint between two points, we need to take the average of their x-coordinates and the average of their y-coordinates.

Let's first find the average of the x-coordinates:

average of x-coordinates = (x-coordinate of A + x-coordinate of B)/2

average of x-coordinates = (-7 + 3)/2

average of x-coordinates = -2

Now let's find the average of the y-coordinates:

average of y-coordinates = (y-coordinate of A + y-coordinate of B)/2

average of y-coordinates = (1 + (-4))/2

average of y-coordinates = -1.5

Therefore, the midpoint between A(-7, 1) and B(3, -4) is (-2, -1.5).

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The solutions of the expressions -(-1), -|-1|, -|1|, |1|, and |-1| are 1, -1, -1, 1, and 1.

We are given five expressions. An expression or mathematical expression is a finite collection of symbols that is well-formed according to context-dependent norms. The first expression is -(-1). The simplified solution of the first expression is 1. The second expression is -|-1|. The simplified solution of the first expression is -1. The third expression is -|1|. The simplified solution of the first expression is -1. The fourth expression is |1|. The simplified solution of the first expression is 1. The fifth expression is |-1|. The simplified solution of the first expression is 1.

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\((0.4), (-4,-6)\)

The LCM of a, b is the smallest multiplier that is divisible by both a and b

\(= 0.4(-4, -6)\)

(a) The real discrete Fourier transform (DFT) is calculated for the given data set to analyze the helicopter's acoustic signature.

(b) To obtain the ck values and illustrate the relative size of each term in the Fourier series, we calculate the magnitude of each coefficient and plot their amplitudes on a bar graph against the corresponding frequency component, k.

To analyze the helicopter's acoustic signature, the real DFT is computed for the provided data set. The DFT transforms the time-domain measurements of acoustic pressure into the frequency domain, revealing the different frequencies present and their corresponding amplitudes. This analysis helps in understanding the spectral characteristics of the helicopter's acoustic signature and identifying prominent frequency components.

Using the Fourier series representation, the amplitudes (ck's) of the different frequency components in the Fourier series are determined. These amplitudes represent the relative sizes of each term in the series, indicating the contribution of each frequency component to the overall acoustic signature. By plotting the amplitudes on a bar graph, the relative strengths of different frequency components become visually apparent, enabling a clear comparison of their importance in characterizing the helicopter's acoustic signature.

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Answer:

f(4)=7

Step-by-step explanation:

f(x)=3x-5

f(4)=3(4)-5

f(4)=12-5

f(4)=7

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Answer:

32

Step-by-step explanation:

Mountain Mack can carve 30 fishing lures and 36 duck decoys in a week.

Mountain Mack spends his time carving fishing lures and duck decoys. It is stated that if he spends all of his time carving fishing lures, he can carve 30 lures in a week. Similarly, if he spends all of his time carving duck decoys, he can carve 25 decoys in a week. Additionally, for every 5 duck decoys Mountain Mack carves, he must give up 6 fishing lures.

To determine the number of fishing lures and duck decoys Mountain Mack can carve in a week, we need to consider the trade-off between the two activities. Let's assume that Mountain Mack spends x amount of time carving fishing lures and y amount of time carving duck decoys in a week.

From the given information, we know that if Mountain Mack spends all of his time carving fishing lures, he can carve 30 lures in a week. Therefore, we can set up the equation:

x = 30

Similarly, if Mountain Mack spends all of his time carving duck decoys, he can carve 25 decoys in a week. Hence, we can set up another equation:

y = 25

Now, let's consider the trade-off between fishing lures and duck decoys. For every 5 duck decoys carved, Mountain Mack must give up 6 fishing lures. This means that for every 5 units of y (duck decoys), he loses 6 units of x (fishing lures). We can express this relationship as:

(5/6)y = x

Now we have a system of equations:

x = 30

y = 25

(5/6)y = x

To solve this system, we can substitute the value of x from the first equation into the third equation:

(5/6)y = 30

y = (6/5) * 30

y = 36

Now that we have the value of y, we can substitute it back into the second equation to find x:

x = 30

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The given sequence appears to be an arithmetic sequence, as the difference between consecutive terms is 9. To find the 43rd term, we can use the formula for the nth term of an arithmetic sequence:

a_n = a_1 + (n - 1)d

where a_n is the nth term, a_1 is the first term (11 in this case), n is the term number (43 in this case), and d is the common difference (9 in this case).

Plugging in the values, we get:

a_43 = 11 + (43 - 1) * 9

a_43 = 11 + 42 * 9

a_43 = 11 + 378

a_43 = 389

So the 43rd term of the sequence is 389.

Answer:

5

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

£160

Step-by-step explanation:

£160 times 0.6 equals  £96

since  £96 is 60% of the original price since 40% was taken off

The price of the bicycle before decrease is obtained as  £160.

A percentage is a value that indicates 100th part of any quantity.

A percentage can be converted into a fraction or a decimal by dividing it by 100. And to convert a fraction or a decimal into percentage, they are multiplied by 100.

The new price of the bicycle is  £96.

And, the percent of decrease is 40%.

Suppose the original price be x.

Then, the following equation can be written for the given case as,

x - 40% × x = 96

⇒ x - 40/100x = 96

⇒ 60/100x = 96

⇒ x = 160

Hence, the original price of the bicycle is given as £160.

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Answer:

n = 250

See solution and check blow.

Step-by-step explanation:

Solution:

-17 + n/5 = 33

Add 17 to both sides.

-17 + 17 + n/5 = 33 + 17

n/5 = 50

Multiply both sides by 5.

n/5 × 5 = 50 × 5

n = 250

Check:

-17 + n/5 = 33

Since we found out that n = 250, substitute 250 for n in the equation.

-17 + 250/5 = 33

Simplify the left side. Divide 250 by 5.

-17 + 50 = 33

Add on the left side.

33 = 33

Since 33 = 33 is a true statement, the solution n = 250 is correct.

The point of turn or angle of rotation of 360° is a point of rotational symmetry for all figures. Therefore, the correct answer is option number 4.

This indicates that the figure will appear identical to its original form when it is rotated 360 degrees around its center point. At the end of the day, the figure will have a similar direction as it had before the turn. In geometry, this property is frequently used to identify shapes with rotational symmetry and to create repeating patterns and designs.

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Complete Question:

which angle of rotation is an angle of rotational symmetry for all figures? 45°

90°

180°

360°

Given statement solution is :- a) Power set for two sets A and B with any 2 elements:

Set A: {1, 2}, Set B: {3, 4}

Power set of A: {{}, {1}, {2}, {1, 2}}

Power set of B: {{}, {3}, {4}, {3, 4}}

b) Power set for two sets A and B with any 3 elements:

Set A: {1, 2, 3}, Set B: {4, 5, 6}

Power set of A: {{}, {1}, {2}, {3}, {1, 2}, {1, 3}, {2, 3}, {1, 2, 3}}

Power set of B: {{}, {4}, {5}, {6}, {4, 5}, {4, 6}, {5, 6}, {4, 5, 6}}

c) Power set for two sets A and B with any 4 elements:

Set A: {1, 2, 3, 4}, Set B: {5, 6, 7, 8}

Power set of A: {{}, {1}, {2}, {3}, {4}, {1, 2}, {1, 3}, {1, 4}, {2, 3}, {2, 4}, {3, 4}, {1, 2, 3}, {1, 2, 4}, {1, 3, 4}, {2, 3, 4}, {1, 2, 3, 4}}

Power set of B: {{}, {5}, {6}, {7}, {8}, {5, 6}, {5, 7}, {5, 8}, {6, 7}, {6, 8}, {7, 8}, {5, 6, 7}, {5, 6, 8}, {5, 7, 8}, {6, 7, 8},

a) Power set for two sets A and B with any 2 elements:

Set A: {1, 2}, Set B: {3, 4}

Power set of A: {{}, {1}, {2}, {1, 2}}

Power set of B: {{}, {3}, {4}, {3, 4}}

Set A: {apple, banana}, Set B: {cat, dog}

Power set of A: {{}, {apple}, {banana}, {apple, banana}}

Power set of B: {{}, {cat}, {dog}, {cat, dog}}

Set A: {red, blue}, Set B: {circle, square}

Power set of A: {{}, {red}, {blue}, {red, blue}}

Power set of B: {{}, {circle}, {square}, {circle, square}}

b) Power set for two sets A and B with any 3 elements:

Set A: {1, 2, 3}, Set B: {4, 5, 6}

Power set of A: {{}, {1}, {2}, {3}, {1, 2}, {1, 3}, {2, 3}, {1, 2, 3}}

Power set of B: {{}, {4}, {5}, {6}, {4, 5}, {4, 6}, {5, 6}, {4, 5, 6}}

Set A: {apple, banana, orange}, Set B: {cat, dog, elephant}

Power set of A: {{}, {apple}, {banana}, {orange}, {apple, banana}, {apple, orange}, {banana, orange}, {apple, banana, orange}}

Power set of B: {{}, {cat}, {dog}, {elephant}, {cat, dog}, {cat, elephant}, {dog, elephant}, {cat, dog, elephant}}

Set A: {red, blue, green}, Set B: {circle, square, triangle}

Power set of A: {{}, {red}, {blue}, {green}, {red, blue}, {red, green}, {blue, green}, {red, blue, green}}

Power set of B: {{}, {circle}, {square}, {triangle}, {circle, square}, {circle, triangle}, {square, triangle}, {circle, square, triangle}}

c) Power set for two sets A and B with any 4 elements:

Set A: {1, 2, 3, 4}, Set B: {5, 6, 7, 8}

Power set of A: {{}, {1}, {2}, {3}, {4}, {1, 2}, {1, 3}, {1, 4}, {2, 3}, {2, 4}, {3, 4}, {1, 2, 3}, {1, 2, 4}, {1, 3, 4}, {2, 3, 4}, {1, 2, 3, 4}}

Power set of B: {{}, {5}, {6}, {7}, {8}, {5, 6}, {5, 7}, {5, 8}, {6, 7}, {6, 8}, {7, 8}, {5, 6, 7}, {5, 6, 8}, {5, 7, 8}, {6, 7, 8},

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The given probabilities help us determine the joint probabilities, The joint probabilities are:P(A and B) = 0.345P(A and B') = 0.405P(A' and B) = 0.195P(A' and B') = 0.055

Conditional probability is the probability of an event given that another event has occurred. In probability theory, the product rule describes the likelihood of two independent events occurring. This rule is used for computing joint probabilities of an event. The rule is stated as:If A and B are two independent events, then,

P(A and B) = P(A) × P(B)

Given, P(A) = 0.75, P(A') = 0.25, P(B|A) = 0.46, P(B|A') = 0.78

We need to determine all the joint probabilities listed below P(A and B)P(A and B')P(A' and B)P(A' and B')

Using the product rule,

P(A and B) = P(A) × P(B|A) = 0.75 × 0.46 = 0.345

P(A and B') = P(A) × P(B'|A) = 0.75 × (1 - 0.46) = 0.405

P(A' and B) = P(A') × P(B|A') = 0.25 × 0.78 = 0.195

P(A' and B') = P(A') × P(B'|A') = 0.25 × (1 - 0.78) = 0.055

Therefore, joint probabilities are:P(A and B) = 0.345P(A and B') = 0.405P(A' and B) = 0.195P(A' and B') = 0.055

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Answer:

please rate and mark as brainlest.

Step-by-step explanation:

(i) 1/20

(ii)

a.708.22

b.8635.4

c.147.392

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Step-by-step explanation:

\(the \: gradient \: of \: line \: a \: is\)

\(m = \frac{4}{1 } \\ m = 4\)

\(the \: gradient \: of \: line \: b \: is\)

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

Gradients of line A is equals to \(4\) and gradients of line B is equals to \(-2\).

" Gradients is defined as the ratio of difference of y-coordinates  to the difference of x-coordinates."

Formula used

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

According to the question,

Given from the graph,

Coordinates of Line A

\((x_{1} ,y_{1} ) = ( 3,3)\\\\(x_{2} ,y_{2} ) = ( 4,7)\)

Substitute the value in the formula we get,

Gradient of line A \(= \frac{7-3}{4-3}\)

                              \(= 4\)

Coordinates of Line B

\((x_{1} ,y_{1} ) = ( -1,3)\\\\(x_{2} ,y_{2} ) = ( -2,5)\)

Gradient of line B \(= \frac{5-3}{-2-(-1)}\)

                              \(= -2\)

Hence, gradients of line A is equals to \(4\) and gradients of line B is equals to \(-2\).

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The commutative property for addition just means the sum is the same no matter what order you add the terms. This property is also true for multiplication of real numbers.

If altering the operands' order has no effect on the outcome, the binary operation is commutative in mathematics. Numerous binary operations depend on it as a fundamental property, and numerous mathematical arguments.

A commutative property in mathematics states that if integer positions are switched around or combined while performing addition or multiplication operations, the result will remain the same.

According to the commutative property, the numbers we use can be moved around or swapped around without changing the solution. For addition and multiplication, the property is true, but not for division or subtraction.

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Hypothesis testing is a statistical method in which an analyst conducts a hypothesis test on a sample of data to draw inferences about the entire population.
1. Hypothesis tests are one of Inferential statistics. True. Inferential statistics, which deals with generalizing sample data to the population from which the sample was taken, includes hypothesis testing.
2. Mean is a central tendency measurement it is necessary to be one of the raw data. False. The mean measures central tendency calculated by adding all the values and dividing by the number of observations. The mean value does not have to be one of the raw data values. It's just a mathematical calculation used to represent a typical value for a dataset.
3. Calculation of the mean considers all the data, while other measurements do not consider all raw data. True. The mean calculation considers all data points, whereas other measures of central tendency, such as the median and mode, do not. This property makes the mean more representative of the entire data set.
4. Mode, median, and mean are single when that data is normally distributed. False. The mode, median, and mean are distinct when the data is non-normal. The mode, median, and mean are identical when data is normally distributed.
5. Mutually exclusive events can contain common elements. False. If two events are mutually exclusive, they cannot occur simultaneously. They have no elements in common by definition.
6. In the standard normal distribution, μ=1 and σ=0. False. In the standard normal distribution, the mean (μ) is 0, and the standard deviation (σ) is 1.

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Minimization of  f(x) = |x+3| + x^3 at the endpoints (-2 and 6)  the minimum value of the function is approximately 3.84, which occurs at x= \sqrt{1/3}

within the given interval.

To minimize the function subject to the constraint f(x) = |x+3| + x^3 that x lies in the interval [-2, 6], we need to find the value of x that minimizes f(x) within that interval.

First, let's analyze the function f(x). The absolute value term |x+3| can be rewritten as:

|x+3| =

x+3 if x+3 >= 0

-(x+3) if x+3 < 0

Since the interval [-2, 6] includes both positive and negative values of x+3, we need to consider both cases.

Case 1: x+3 >= 0

In this case, f(x) = (x+3) + x^3 = 2x + x^3 + 3

Case 2: x+3 < 0

In this case, f(x) = -(x+3) + x^3 = -2x + x^3 - 3

Now, we can find the minimum of f(x) within the given interval by evaluating the function at the endpoints (-2 and 6) and at any critical points within the interval.

Calculating the values of f(x) at x = -2, 6, and the critical points, we can determine the minimum value of f(x) and the corresponding value of x.

Since the equation involves both absolute value and a cubic term, it is not possible to find a closed-form solution or an exact minimum value without numerical methods or approximation techniques.

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Answer:

B) Likely

Step-by-step explanation:

Unlikely = < 50%

Likely = > 50%

Certain = 100%

Equally likely = 50%

The required value of the angles x and y is 40° and 51°.

Given that,
The angle pair relationships in the diagram, To write and solve equations for x and y,

The equation is the relationship between variables and is represented as y =ax +b    is an example of a polynomial equation.

Here, two parallel lines intersected by a line,

Here,
by intersection through transversal line y  and 119° are two supplementary angles.
\The sum of the supplementary angle is 180,
119 + y = 180
y = 180 - 119
y = 51°

Now 5x +11 and y are corresponding angles for parallel lines,
y  = 5x + 11
51° = 5x + 11°
x = 40°

Thus, the required value of the x and y is 40° and 51°.

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Answer:

(x - 2)(x + 2)

Step-by-step explanation:

If this is a difference of squares, it factors like this.

(x - 2)(x + 2)

The general rule is x^2 - a^2 factors into sqrt(x^2) +/- sqrt(a^2)

That always produces 2 factors: (x + a)(x - a)

Answer:

$ 128 for 2 tons

Step-by-step explanation:

3/8 ton is $24

   2 ton is $?

→to keep the proportion the same we write

?$ / 2 ton = $24/ (3/8)

→rewrite 24/ (3/8) as (24/1) *(8/3) because if we divide by a fraction is the same as multiplying by it's inverse

? / 2  = 24*8/ 3

→solve to find the unknown amount of money

? = 24*8*2 /3

? = 128

a. The equation for the line tangent to the graph is W(0.4) ≈ 3 + 3(0.4) = 4.2°C.

b. The particular solution to the differential equation with the initial condition W(0) = 3 is W(t) = 3e^(3sin(t/2)).

c. To find the cost of operating the refrigerator for the 24-hour interval, an expression involving an integral would be ∫[0, 24] 0.001(W(t) - 20) dt.

a. To find the equation for the line tangent to the graph of W(t) at t = 0, we can find the derivative dW/dt and evaluate it at t = 0. We have dW/dt = 3cos(t/2)W. Evaluating it at t = 0 gives dW/dt = 3cos(0/2)W = 3W. This represents the slope of the tangent line. Using the point-slope form, we get the equation for the tangent line as W(t) ≈ 3 + 3t. Plugging in t = 0.4, we find W(0.4) ≈ 3 + 3(0.4) = 4.2°C as an approximation for the temperature inside the refrigerator at t = 0.4 hours.

b. To find the particular solution to the differential equation dW/dt = 3cos(t/2)W with the initial condition W(0) = 3, we can separate variables and integrate both sides. After solving the integral, we arrive at the particular solution W(t) = 3e^(3sin(t/2)).

c. The cost of operating the refrigerator accumulates at a rate of $0.001 per hour for each degree that the temperature in the kitchen exceeds the temperature inside the refrigerator. Let's denote the cost as C(t). To find the cost for the 24-hour interval, we need to calculate the accumulated cost over that period. This can be expressed as the integral of the rate of accumulation, which is 0.001 multiplied by the difference between the kitchen temperature (20°C) and the temperature inside the refrigerator W(t), integrated from t = 0 to t = 24. Thus, the expression involving an integral to find the cost of operating the refrigerator for the 24-hour interval is ∫[0, 24] 0.001(W(t) - 20) dt.

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(a) The probability that a randomly selected policyholder lives more than 80 years is approximately 0.3106.  (b) Given that a male policyholder just turned 80, the probability that he will live for at least three more years is approximately 0.6166.

(a) To find the probability that a randomly selected policyholder lives more than 80 years, we need to calculate the cumulative probability of survival beyond 80 for both males and females separately, and then weigh them based on the gender distribution.

For males: Using the normal distribution with mean 75 and standard deviation 8, we find the probability of survival beyond 80 is approximately 0.3446.

For females: Using the normal distribution with mean 78 and standard deviation 6, we find the probability of survival beyond 80 is approximately 0.2847.

The weighted probability for a randomly selected policyholder is (0.60 * 0.3446) + (0.40 * 0.2847) = 0.3106.

(b) Given that a male policyholder just turned 80 years old today, we can use conditional probability to calculate the likelihood of him living for at least three more years.

Using the normal distribution with mean 75 and standard deviation 8, the probability of survival beyond 83 (80 + 3) is approximately 0.8621.

Therefore, the probability that a male policyholder, who just turned 80, will live for at least three more years is 0.8621.

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Jackie made 12 bracelets each day and the equation used to represent this is 8x = 96. The solution has been obtained using the concept of simplification.

What is simplification?

In mathematics, the operation and interpretation of a function to make it simple or easier to grasp is known as simplifying, and the process is known as simplification.

We are given that Jackie made bracelets for 8 days and when he was done he had 96 bracelets with him.

Let 'x' be the number of bracelets made by Jackie each day

So, we get

⇒8x = 96

⇒x = 96/8

⇒x = 12

Hence, Jackie made 12 bracelets each day and the equation used to represent this is 8x = 96.

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Question: Jackie made bracelets for 8 days. When he was done he had 96 bracelets Write equation to express how many bracelets Jackie made each day.

Answer:

b = 1/3

Step-by-step explanation:

The general structure of equations in slope-intercept form is:

y = mx + b

In this form, "m" represents the slope and "b" represents the y-intercept.

The given equation is already in slope-intercept form. In other words, you have already been given "m" and "b". Therefore, the value which corresponds with the y-intercept is (1/3).

f(x) = mx + b

f(x) = -(2/9)x + 1/3