Write the function that corresponds to the given situation.

Answer:

£624

52 weeks in a year 52 x 12

Answer:

The time it will take is 8hours 45mins.

Step-by-step explanation:

Since y = –240x represents a submarine descent. We are looking for how long, that is the time, it will take for the submarine to make a descent of 2100. We know that y is the elevation, if it is descending it will be in the negative direction, making it -ve.

A descent of 2100 means y = –2100. Hence,

–2100 = –240x

x = –2100/–240 = 8.75hours = 8hours 45minutes. (0.75hours = 3/4hours = 3/4 x 60mins = 45mins).

Answer:

y = 3x - 7

General Formulas and Concepts:

Pre-Algebra

Algebra I

Standard Form: Ax + By = C

Slope-Intercept Form: y = mx + b

Step-by-step explanation:

Step 1: Define

Standard Form:   3x - y = 7

Step 2: Rewrite

Find slope-intercept form

Answer:

y = 3x + 7

Step-by-step explanation:

subtract 3x from both sides

multiply both sides by (-1) to get positive numbers

you look too cute in the dp i like your face its very cute

Answer:

Slope of the perpendicular line = 4/7

So , general equation of line is

y = (4/7) x +c

As this line passes through (5,-2) ,it also satisfy the equation

\( - 2 = ( \frac{ 4}{7} ) \times 5 + c\)

\(c = -2 - \frac{20}{7} \)

\(c = \frac{-34}{7} \)

Now the required equation :-

\(y = ( \frac{ 4}{7} )x + \frac{-34}{7} \)

\(4x - 7y = 34\)

Mark me as brainliest ❤️

Answer:

Cause they delusionadelusional and PattPatty

Step-by-step explanation

Answer:

2.4 that what I got

Step-by-step explanation:

Answer:

n=29

Step-by-step explanation:

Answer:

Step-by-step explanation:

Finding final velocity.

\(\boxed{v_{f}=v_{i} + at}\\\\v_{f} -- > final \ velocity\\\\v_{i} -- > Initial velocity\)

a -> accelaration

t ---> time

\(v_{i} = 7 \ m/s\)

a = 2 m/s²

t = 5 s

\(v_{f}= 7 + 2*5\)

     = 7 + 10

     = 17 m/s

10) h = 5 m

g = -10m/s²

\(t =\sqrt{\dfrac{2*h}{g}}\\\\ =\sqrt{\dfrac{2*5}{10}}\\\\= \sqrt{\dfrac{10}{10}}\\\\= 1\)

t = 1 sec

Answer:

a: (-2, -7)

b: (7, 1)

c: (4, -6)

d: (-4, 2)

e: (2, 4)

f: (-5, -4)

Answer:

a(-2, -7)

b(7, 1)

c(4, -6)

d(-4, 2)

e(2, 4)

f(-5, -4)

Step-by-step explanation:

Answer:

eeeeeeeeeeeeeeeeeeeeeeeeeeeee

Step-by-step explanation:

Answer:

-10

Step-by-step explanation:

-4 between each number

After the stock's value increases by 4.5% and then falls by the same percentage, the new value would be approximately $997.975.

Let's calculate the new value of the stock after the increase and decrease.

Starting with $1,000, a 4.5% increase in value would be calculated as (4.5/100) * 1000 = $45. This brings the value up to $1,045.

Next, a 4.5% decrease in value would be calculated as (4.5/100) * 1045 = $47.025. This amount is subtracted from the increased value of $1,045.

Subtracting $47.025 from $1,045 gives us $997.975, which is slightly less than $1,000.

Therefore, after the stock's value increases by 4.5% and then falls by the same percentage, the new value would be approximately $997.975. It's important to note that this calculation assumes a simple percentage increase and decrease without considering other factors that can affect stock market fluctuations.

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The smaller number is 28.

Answer:

Solution Given:

let the smaller number be a.

and larger number be a+4.

By question

a+(a+4)=60

a+a+4=60

2a=60-4

2a=56

a=\( \frac{56}{2} \)

a=28

Answer:

y = 28

Step-by-step explanation:

Given variables:

Create two equations with the given information.

Equation 1

If one number is 4 more than another, then:

⇒ x = y + 4

(Remembering that x is the larger number and y is the smaller number).

Equation 2

If their sum is 60, then:

⇒ x + y = 60

Substitute Equation 1 into Equation 2 and solve for y:

⇒ (y + 4) + y = 60

⇒ 2y + 4 = 60

⇒ 2y + 4 -4 = 60 - 4

⇒ 2y ÷ 2 = 56 ÷ 2

⇒ y = 28

Therefore, the value of the smaller number (y) is 28.

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According to the given percentages, 18% of the students at the orientation are male arts majors.

The statement correctly calculates that 60% of the students at the orientation are men and 30% are arts majors.

To determine the percentage of students who are male arts majors, we multiply these two percentages together: 60% x 30% = 18%. Therefore, 18% of the students at the orientation are male arts majors.

This calculation follows the principles of probability, where the intersection of two events (being a male and being an arts major) is determined by multiplying the probabilities of each event occurring individually.

In this case, it results in 18% of the students meeting both criteria.


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Question - Sixty percent of the students at an orientation are men and 30% of the students at the orientation are arts majors. Therefore, 60% X 30% = 18% of the students at the orientation are male arts majors.

Answer:

6 cm

Step-by-step explanation:

Let each side of the equilateral triangle be a.

Given, area of an equilateral triangle = 9√3 cm2

Area of an equilateral triangle = (√3)/4 × (Side)²

=> (√3)/4 × a² = 9√3

\( {a}^{2} = \frac{9 \sqrt{3} }{ \frac{ \sqrt{3} }{4} } = \frac{9 \sqrt{3} }{ \sqrt{3} } \times 4 = 9 \times 4\)

=> a² = 36

\( \sqrt{ {a}^{2} } = \sqrt{36} \\ a = (+ - )6\)

∴ Side = 6 cm  [taking positive square root because side is always positive]

Answer:

Not a function

Step-by-step explanation:

The set of ordered pairs is not a function because of (1,3) and (1,4). There must be a unique input for every output, and x=1 violates this rule because it belongs to more than one output, which are y=3 and y=4.

The probability of having 7 boys in a family with 7 children is 1 out of 128, as there is only one favorable outcome out of 128 total possible outcomes.

To find the probability, we need to calculate n(E) and n(S).

In this case, event E represents the scenario where all 7 children are boys. The sample space S consists of all possible permutations of boys and girls for the 7 children, which is 2^7 = 128.

This is because each child has 2 possibilities (boy or girl), and we multiply these possibilities for all 7 children.

Since event E includes only one specific outcome (all boys), n(E) is equal to 1. Therefore, both n(E) and n(S) are 1 and 128, respectively. The probability of having 7 boys is given by n(E)/n(S) = 1/128.

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\(XX, ¯xx¯ and ∑x∑x\) distribution for a 5K fun runGiven the below information:Mean of 5K fun run\(= μ = 21\)minutesStandard Deviation of 5K fun run\(= σ = 2.2\) minutesNumber of runners selected\(= n = 49\)

Random variable of 5K fun run = XXDistribution of \(XX: XX ~ N(μ,σ^2) = N\)(21, 2.2^2)

Distribution of \(¯xx¯: ¯xx¯ ~ N(μ, σ^2/n) = N(21, 2.2^2/49) = N\)(21,0.0976)Distribution of\(∑x∑x: ∑x∑x ~ N(nμ, nσ^2) = N(49×21, 49×2.2^2) = N\) (1029, 1085.96)

Therefore, the distribution of XX is N(21, 2.2^2), the distribution of\(¯xx¯ is N(\) 21,0.0976) and the distribution of ∑x∑x is N(1029, 1085.96).

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The scale factor was applied to the first diamond is 2.5

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

The diamonds

The scale factor is calclated as

scale factor = Diamond 2/Diamond 1

Substitute the known values in the above equation, so, we have the following representation

scale factor = 1.5/0.6

Evaluate

scale factor = 2.5

Hnce, the scale factor is 2.5

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The coordinates of point L are (s/2, s√3/2). If we know the value of s, we can determine the specific coordinates of point L.

To determine the coordinates of point L in an equilateral triangle with vertices J and K, we first need to know the location of J and K.

Since the triangle is equilateral, the distance from J to K is the same as the distance from J to L or from K to L. Let's assume that the side length of the equilateral triangle is s. Then, the distance from J to K is also s. We can assume that J is located at the origin (0,0), and K is located at (s,0).

To find the coordinates of point L, we can use some trigonometry. Let's draw a line from point K to point L, and let the angle between this line and the x-axis be θ. Since the triangle is equilateral, this angle is 60 degrees.

The x-coordinate of point L is then given by s cos θ. Since cos 60 = 1/2, the x-coordinate of point L is s/2.

The y-coordinate of point L is given by s sin θ. Since sin 60 = √3/2, the y-coordinate of point L is s√3/2.

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Domain: All real values of x such that 4x + 8 > 0, which gives x > -2.

(-2, ∞)

Vertical asymptote: At x = -2.End behavior: As x approaches infinity, g(x) approaches infinity, and as x approaches negative infinity, g(x) approaches negative infinity.

The function g(x) = ln(4x + 8) + 1.4 is a logarithmic function, where the natural logarithm of 4x + 8 is added with 1.4 to form a function.

For a logarithmic function, there is no y-intercept. The domain of the function is all real values of x such that

4x+8 > 0

4x > -8

x > -2

Thus, the domain of g(x) is all real numbers greater than -2:

Domain: (-2, ∞)

There is only one vertical asymptote that occurs when the logarithm of a negative number is taken. Because the natural logarithm of 0 is undefined, there is no horizontal asymptote for this function.

Therefore, the vertical asymptote of the given function is at x = -2. The end behavior of the given function, on the other hand, as x approaches infinity, g(x) approaches infinity, and as x approaches negative infinity, g(x) approaches negative infinity.

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The main answer for the first argument is that we cannot prove that the band could play rock music based on the given premises and rules of inference.

1. Let's assign the following propositions:

  - P: The band could play rock music.

  - Q: The refreshments were delivered on time.

  - R: The New Year's party was canceled.

  - S: Alicia was angry.

  - T: Refunds were made.

2. The given premises can be expressed as:

  (¬P ∨ ¬Q) → (R ∧ S)

  R → T

3. To prove that the band could play rock music (P), we need to derive it using valid rules of inference.

4. Using the premises, we can apply the rule of modus tollens to the second premise:

  R → T        (Premise)

  Therefore, ¬R.

5. Next, we can use disjunctive syllogism on the first premise:

  (¬P ∨ ¬Q) → (R ∧ S)     (Premise)

  ¬R                    (From step 4)

  Therefore, ¬(¬P ∨ ¬Q).

6. Applying De Morgan's law to step 5, we get:

  ¬(¬P ∨ ¬Q)  ≡  (P ∧ Q)

7. Therefore, we can conclude that the band could play rock music (P) based on the premises and rules of inference.

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a. The probability that the system will operate as shown is approximately 0.6141.

b. Probability ≈ 0.6141The probability remains the same as in the previous case, which is approximately 0.6141.

c. The probability that the system will operate with each component having a backup with a probability of 0.85 and a switch that is 90% reliable is approximately 0.6485.

a. To find the probability that the system will operate as shown, we multiply the probabilities of each component. Since the system is shown to have three components with a probability of 0.85 each, we can calculate:

Probability = 0.85 × 0.85 × 0.85

Probability ≈ 0.6141

The probability that the system will operate as shown is approximately 0.6141.

b. In this case, each system component has a backup with a probability of 0.85 and a switch that is 100% reliable. Since the backup has a probability of 0.85, and the switch is 100% reliable (probability = 1), we can calculate the probability as:

Probability = 0.85 × 0.85 × 0.85

Probability ≈ 0.6141The probability remains the same as in the previous case, which is approximately 0.6141.

c. In this scenario, each system component has a backup with a probability of 0.85, but the switch is 90% reliable (probability = 0.90). We can calculate the probability as:

Probability = 0.85 × 0.90 × 0.85

Probability ≈ 0.6485

The probability that the system will operate with each component having a backup with a probability of 0.85 and a switch that is 90% reliable is approximately 0.6485.

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It indicates that the test is highly accurate in correctly identifying individuals with hepatitis C (high sensitivity) and accurately ruling out individuals without the disease (high specificity).

Sensitivity and specificity are two important measures of a diagnostic test's performance. Sensitivity refers to the test's ability to correctly identify individuals who have the condition, while specificity refers to its ability to correctly identify individuals who do not have the condition.

In the case of the ELISA test for hepatitis C, a sensitivity of 95% means that the test will correctly identify 95% of individuals who actually have hepatitis C as positive. This indicates a high probability of detecting the disease when it is present.

On the other hand, a specificity of 90% means that the test will correctly identify 90% of individuals who do not have hepatitis C as negative. This suggests that there is a 10% chance of a false positive result, where individuals without the disease are mistakenly identified as positive.

Overall, the high sensitivity and specificity of the ELISA test for hepatitis C make it a valuable tool in the diagnosis and screening of individuals for this infectious disease. However, it is important to consider that no test is 100% accurate, and false results can still occur. Therefore, additional confirmatory tests may be required in certain cases to ensure accurate diagnosis and appropriate medical intervention.

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At a constant rate of 400 miles per hour travel, the plane would be travelling from 32000 feet above the land.

The speed of an object is the ratio of distance and time it takes for the object to travel that distance.

Mathematically,

S = D/T

where

S is velocity

D is the distance traveled or distance traveled

T is the time it takes to travel that distance

Velocity is considered a scalar quantity. A scalar size only has a size. It does not provide information about the direction of object movement.

If an object moves at a constant speed, it means that the object moves the same distance in the same time interval.

Acceleration of an object is the ratio of velocity and time. vector size. Vector quantities have both magnitude and direction.

Mathematics,

a = v/t

When an object is in motion, its acceleration is never zero.

When an object moves, it moves a constant distance over time. Therefore, body positions cannot be the same from the same coordinate system.

Given in the question:

First the plane was travelling at a constant rate of 250  miles per hour.

Initial height was 20000 feet

Now,

As the speed increases and travels at a constant rate of 400 miles per hour.

Now,

   (400 /250 ) × 20000

=  1.6 × 20000

= 32000 feet

Thus, At a constant rate of 400 miles per hour travel, the plane would be travelling from 32000 feet above the land.

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P(2)The value of P(2) can be found from the probability distribution provided above. It can be observed that the value of p(x) is 0.30 for x = 2. Hence, P(2) = 0.30.b. P(no more than 1)The value of P(no more than 1) can be found by adding the probabilities of x = 0 and x = 1 as follows: P(no more than 1) = P(0) + P(1) = 0.10 + 0.25 = 0.35c. Probability that no one is in line Probability of zero customers = P(0) = 0.10d.

Probability that at least three people are in line Probability of at least 3 customers = P(3) + P(4) + P(5) = 0.20 + 0.10 + 0.05 = 0.35e.

Mean μxTo find the mean of a discrete probability distribution, we multiply each value by its corresponding probability and then sum the resulting products.

That is,μx = ∑ (x * p(x))where x = 0, 1, 2, 3, 4, 5 and p(x) are the corresponding probabilities given in the probability distribution. Therefore,

μx = (0 * 0.10) + (1 * 0.25) + (2 * 0.30) + (3 * 0.20) + (4 * 0.10) + (5 * 0.05)= 1.85f. Standard deviation σxTo find the standard deviation of a discrete probability distribution, we use the formulaσx = sqrt[∑(x - μx)² * p(x)]where μx is the mean calculated in part (e).σx = sqrt[(0 - 1.85)² * 0.10 + (1 - 1.85)² * 0.25 + (2 - 1.85)² * 0.30 + (3 - 1.85)² * 0.20 + (4 - 1.85)² * 0.10 + (5 - 1.85)² * 0.05]= 1.351g.

Probability that it will take more than 6 minutes for all customers in line to check outIf each customer takes 3 minutes to check out, the time it takes for all the customers currently in line to check out is the sum of the individual checkout times. We can use the probability distribution to determine the probability that it takes more than 6 minutes for all the customers in line to check out.

That is,P(checkout time > 6) = P(4) + P(5) = 0.10 + 0.05 = 0.15Therefore, the probability that it will take more than 6 minutes for all the customers in line to check out is 0.15.

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Answer:

b. <

Step-by-step explanation:

2,369 is less than 25,500

23x103=2369

250x102=25500

Answer:

The answer is 3 . Hope you like answer.

The null and alternative hypotheses for the given situation can be stated as follows:

Null Hypothesis (H0): There is no significant improvement or decline in students' grades after using the tutoring services.

Alternative Hypothesis (Ha): There is a significant improvement or decline in students' grades after using the tutoring services.

In symbols:

H0: μ = 0

Ha: μ ≠ 0

Where:

μ represents the population mean change in grades after using the tutoring services. The null hypothesis assumes that the population mean change is equal to zero, indicating no improvement or decline on average. The alternative hypothesis suggests that the population mean change is not equal to zero, indicating a significant improvement or decline on average.

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By showing that the corresponding sides are not proportional we know that the Triangles △fgh and △jih are not similar.

To prove that triangles △fgh and △jih are not similar, we need to show that at least one pair of corresponding sides is not proportional.
Let's compare the side lengths:

Side fg does not have a corresponding side in △jih.
Side gh in △fgh corresponds to side hi in △jih.
Side fh in △fgh corresponds to side ij in △jih.

By comparing the side lengths, we can see that side gh/hj and side fh/ij are not proportional.

Therefore, triangles △fgh and △jih are not similar.

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Triangle FGH (△FGH) is not similar to triangle JIH (△JIH) because their corresponding angles are not congruent and their corresponding sides are not proportional.

To prove that triangle FGH (△FGH) is not similar to triangle JIH (△JIH), we need to show that their corresponding angles and corresponding sides are not proportional.

1. Corresponding angles: In similar triangles, corresponding angles are congruent. If we compare the angles of △FGH and △JIH, we find that angle F in △FGH corresponds to angle J in △JIH, angle G corresponds to angle I, and angle H corresponds to angle H. Since the corresponding angles in both triangles are not congruent, we can conclude that the triangles are not similar.

2. Corresponding sides: In similar triangles, corresponding sides are proportional. Let's compare the sides of △FGH and △JIH. Side FG corresponds to side JI, side GH corresponds to side IH, and side FH corresponds to side HJ. If we measure the lengths of these sides, we can see that they are not proportional. Therefore, the triangles are not similar.

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Answer:

0.25

Step-by-step explanation:

A system having ΔG equal to zero means that the system is at equilibrium at standard conditions. This is option c. In a chemical reaction, ΔG represents the change in Gibbs free energy, which is a measure of the energy available to do work.

When ΔG is equal to zero, it indicates that the system is balanced, with the forward and reverse reactions occurring at the same rate. At equilibrium, the concentrations of reactants and products remain constant over time. For example, consider the reaction A ⇌ B. Initially, if we have more A than B, the forward reaction will be favored until equilibrium is reached. At equilibrium, the rate of the forward reaction equals the rate of the reverse reaction, and the concentrations of A and B remain constant. In this case, ΔG is zero.

It is important to note that while a ΔG of zero indicates equilibrium, it does not provide information about whether the reaction is spontaneous or nonspontaneous. The spontaneity of a reaction is determined by the sign of ΔG. If ΔG is negative, the reaction is spontaneous, while a positive ΔG indicates a nonspontaneous reaction.

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