PLEASE HELP BEEN STUCK ON THIS

Answer:

Step-by-step explanation:

Part A:

This data modeling an exponential function because the y-coordinate values are increasing by multiplying the previous value by 2, which is the common ratio.

Part B:

To write a function to represent the data, we can use the formula for an exponential function: y = a(b)^x, where a is the initial value, b is the common ratio, and x is the input value (station number in this case).

Using the given data points, we can write two equations:

2 = a(b)^1

16 = a(b)^4

Dividing the second equation by the first equation, we get:

8 = (b)^3

Taking the cube root of both sides, we get:

b = 2

Substituting b = 2 in the first equation, we get:

2 = a(2)^1

2 = 2a

a = 1

Therefore, the function that represents the data is: y = 1(2)^x, or y = 2^x.

Part C:

To find the average rate of change between station 2 and station 4, we need to calculate the slope of the line passing through the points (2, 4) and (4, 16).

Using the formula for slope, we get:

slope = (y2 - y1) / (x2 - x1)

slope = (16 - 4) / (4 - 2)

slope = 6

Therefore, the average rate of change between station 2 and station 4 is 6 minutes per station.

Answer:

x > 4

Step-by-step explanation:

-3x -24 < -36

Add 24 to each side

-3x -24+24 < -36+24

-3x< -12

Divide each side by -3, remembering to flip the inequality

-3x/-3 >-12/-3

x > 4

Answer:

x > 4

Step-by-step explanation:

Given equation,

→ -3x - 24 < -36

Now the value of x will be,

→ -3x - 24 < -36

→ -3x < -36 + 24

→ -3x < -12

→ x > -12/-3

→ x > 12/3

→ [ x > 4 ]

Hence, the answer is x > 4.

Answer:

Coordinates are (x,y,z)= ( 6,0,-3)

Step-by-step explanation:

Because

X = +6units

Y= 0at origin

= -3 units negative because its downwards on the number line

Answer:

the LCM is 180

2 9, 12, 15

2 9, 6, 15

3 9, 3, 15

3 3, 1, 5

5 1, 1, 5

1, 1, 1

2×2×3×3×5=180

Answer:

m=-9

Step-by-step explanation:

First, add "-1" on both sides to get m/9=-1. Next, to the inverse of division and multiply 9 on both sides. This will cancel the 9 on the left side, and you will be left with m=-9 when you are finished multiplying on the right side. To check your work, plug m=-9 back into the equation and see if you get -2. This is the correct answer because you get -2 when you simplify -9/9 -1=?, and it is the same as the original problem. Hope this helps and please mark brainliest!!!

Answer: Length  =  9.434

Step-by-step explanation: Input Data :

Point 1

(

x

A

,

y

A

)

= (-4, 5)

Point 2

(

x

B

,

y

B

)

= (4, 0)

Objective :

Find the distance between two given points on a line?

Formula :

Distance between two points =

√

(

x

B

−

x

A

)

2

+

(

y

B

−

y

A

)

2

Solution :

Distance between two points =

√

(

4

−

−

4

)

2

+

(

0

−

5

)

2

=

√

8

2

+

(

−

5

)

2

=

√

64

+

25

=

√

89

= 9.434

Distance between points (-4, 5) and (4, 0) is 9.434

Since the point B is between points A and C, the length BC is 22.25 units

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

Length AB = 6x - 9

Length BC = 3x + 17

Length AC = 5x + 16

The above implies that the point B is between points A and C

So, we have the following equation

AC = AB + BC

Substitute the known values in the above equation

So, we have the following equation

5x + 16 = 6x - 9 + 3x + 17

Collect the like terms

So, we have the following equation

5x - 6x - 3x = -9 + 18 - 16

Evaluate the like terms

So, we have the following equation

-4x = -7

Divide by -4

x = 7/4

Substitute x = 7/4 in the equation BC = 3x + 17

So, we have the following equation

BC = 3 x 7/4 + 17

Evaluate

BC = 22.25

Hence, the numerical length of BC is 22.25 units

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Answer:

no se

Step-by-step explanation:

yo menos perdon

Answer: 70

Step-by-step explanation:

you would do 8C4

If there are 8 pieces to choose from, there are 1,680 different ways distinct displays are possible.

\(^mP_k = k! \times ^mC_k = k! \times \dfrac{m!}{k! \times (m-k)!} = \dfrac{m!}{ (m-k)!}\\\\^mP_k = \dfrac{m!}{ (m-k)!}\)

This is called permutation of k items chosen out of m items (all distinct).

To find the Ways can 8 pieces of art in the front window be arranged in the display window.

Let us use permutation to find the number of ways can 8 pieces of art in the front window be arranged in the display window.

here we have

n= 8

r= 4

substituting the values,

\(^nC_r = \dfrac{n!}{ (n-r)!}\\\\^8C_4 = \dfrac{8!}{ (8-4)!}\\\\^8C_4 = \dfrac{8!}{ (4)!}\\\\^8C_4 = 8 \times 7 \times 6\times 5\\\\^8C_4 =1680\)

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Answer:

m=0

Step-by-step explanation

the y value does not change therefore it is a straight horizontal line which has no slope (otherwise known as 0 slope)

To solve the inequalities -2x + 4 < 8 and 3x + 4 ≤ -5, we will solve them individually and then represent the solutions on a number line.

For the first inequality, -2x + 4 < 8, we will isolate x:

-2x + 4 - 4 < 8 - 4

-2x < 4

Dividing both sides by -2 (remembering to reverse the inequality when multiplying/dividing by a negative number):

x > -2

For the second inequality, 3x + 4 ≤ -5, we isolate x:

3x + 4 - 4 ≤ -5 - 4

3x ≤ -9

Dividing both sides by 3:

x ≤ -3

Now we represent the solutions on a number line. We mark -2 with an open circle (since x > -2), and -3 with a closed circle (since x can be equal to -3). Then we shade the region to the right of -2 and include -3 to represent the solutions.

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Answer: 128 degrees

Step-by-step explanation:

If m1 = 27° and m2 = 25°, what is m3?

27+25=52

180-52=128

that's the simplest way to do it

The measure of m₃ will be;

⇒ m₃ = 128°

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

In a triangle;

⇒ m₁ = 27°

⇒ m₂ = 25°

Now,

We know that;

In a triangle, The sum of all interior angle is equal to 180°

Hence, We get;

⇒ m₁ + m₂ + m₃ = 180°

⇒ 27° + 25° + m₃ = 180°

⇒ m₃ = 180 - 52°

⇒ m₃ = 128°

Thus, We get;

⇒ m₃ = 128°

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What would a social psychologist call the story? The story is called a prime. A prime is what social psychologists would call the story that participants read right before the task of rating the danger of the object they were shown. A prime is something that influences the response of the main option in the experiment.

A prime, in this case, refers to the story that participants read before rating the danger of the object they saw. The study aims to analyze whether the story has an effect on how participants rated the danger of the objects that they saw.

The term social psychology refers to the scientific study of how people are affected by their social interactions, including how they think, feel, and behave in response to the social world around them.

The prime, in this case, refers to the story that participants read before rating the danger of the object they saw. A prime is an external stimulus that influences the response of the main answer in the experiment.

In this case, the story serves as a prime that potentially affects how the participants perceive the object as dangerous or harmless. The story serves as a prime that shapes the participant's rating of the object they saw.

The story, in this case, serves as an independent variable since it's the one being changed and tested to see if it affects the rating of the object's danger. The dependent variable, in this case, is the rating of the object's danger, since it is being influenced by the prime. The story primes have a direct effect on how participants rate the danger of the objects they are shown.

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Answer:

B

Step-by-step explanation:

Adding 8 to both sides will allow you to set the quadratic equal to 0. From there factoring becomes easier.

Answer:

First choice

Step-by-step explanation:

a is - 2

Open downward

Answer:

first answer choice

Step-by-step explanation:

because in the equation a is less then 0 which makes the parabola open downward

also if ur struggling just search up Desmos that calculator is going to save ur life

Answer:

the answer is 5/12 !

because in figure , there is AC as perpendicular and BC as base

and by using formula of tan theta

p/b

it's AC/BC

that means 5/12

Answer:

150

Step-by-step explanation:

40+120=160+10=170-30=150

Given,

Elijah buys $112 worth of exterior equipment from the stereo store.

Processing fee for using the credit card = 2.5%

Therefore,

Total cost of the exterior equipment

= Worth price + procession fee

= 112 + 2.5% of 112

= 112 + 2.8

= 114.8

Hence, the  total  cost would be $114.8

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The midsegment is equal to the average of the lengths of the bases, so:

Where:

and

Therefore:

The z-score corresponding to a sample mean of 69 is approximately -0.286.

The z-score corresponding to a sample mean of m = 69 can be calculated using the formula:
z = (m - µ) / (σ / √n)
Plugging in the given values, we get:
z = (69 - 71) / (21 / √9)
z = -0.86
Therefore, the z-score corresponding to a sample mean of m = 69 is -0.86.
To calculate the z-score for a sample mean (m) of 69, given a population mean (µ) of 71, standard deviation (σ) of 21, and sample size (n) of 9, use the formula:
z = (m - µ) / (σ / √n)
Plug in the values:
z = (69 - 71) / (21 / √9)
z = -2 / (21 / 3)
z = -2 / 7
z = -0.286
The z-score corresponding to a sample mean of 69 is approximately -0.286.

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Answer:

Olumide will practice 40 minutes of playing the piano

Step-by-step explanation:

Olumide practices piano and guitar in the ratio of 5:8

64 minutes of guitar playing means that Olumide has had 8 individual practicing sessions of guitar (64 / 8 = 8), so he has also had 8 practicing sessions of piano.

5 x 8 = 40 minutes of piano practice

Answer:

Step-by-step explanation:

Assumed the question is how many pages are in each chapter.

Let it be x:

Set of positive numbers: (a, b). OOB error: Superior due to comprehensive assessment and effectiveness.

a) To decide the set of true numbers classified as positive by f(x), we ought to consider the conditions for which the expression interior of the marker work is more prominent than zero.

Given:

f(x) = (I(0.1c3(x) - c1(x) - c2(x) > 0))

hence c1(x) = (I(x > a)), (c2(x)) = (I(x < b)), and (c3(x)) = (I(x < +∞)), able to replace their individual values into f(x):

f(x) = (I(0.1I(x < +∞) - I(x > a) - I(x < b) > 0))

Presently, let's analyze the conditions for which the expression interior the marker work is more prominent than zero:

(0.1I(x < +∞) - I(x > a) - I(x < b) >)

hence (I(x < +∞) = 1) and both (I(x > a) and I(x < b)) can as it were take values of 1 or -1, the imbalance streamlines to:

(0.1 - I(x > a) - I(x < b) >)

To fulfill this disparity, we have the following cases:

Case 1: In case I(x > a) = -1 and I(x < b) = -1, at that point 0.1 - (-1) - (-1) >

This infers that x > a and x < b, fulfilling the disparity.

Case 2: On the off chance that I(x > a) = 1 and I(x < b) = -1, at that point 0.1 - 1 - (-1) >

This infers that x < a and x < b, fulfilling the imbalance.

Case 3: On the off chance that I(x > a) = -1 and I(x < b) = 1, at that point 0.1 - (-1) - 1 >

This infers that x > a and x > b, fulfilling the disparity.

Case 4: In the event that I(x > a) = 1 and I(x < b) = 1, at that point 0.1 - 1 - 1 >

This suggests that x < a and x > b, which does not fulfill the imbalance.

Hence, the set of true numbers classified as positive by f(x) is the crossing point of the intervals (a, b) and (-∞, +∞), which may (be, a b).

(b) The Out-of-Bag (OOB) error could be a favored generalization performance measure for stowing compared to the approval set strategy and cross-validation for the taking after reasons:

1. OOB error utilizes the bootstrap inspecting strategy: Stowing includes making different bootstrap tests from the first dataset. OOB blunder gauges the model's execution by assessing it on the occurrences that were not included within the bootstrap test utilized to prepare the demonstration. This permits a more comprehensive assessment of the model's generalization performance.

2. OOB error decreases the requirement for an isolated approval set: The approval set strategy requires part of the information into preparing and approval sets, which decreases the sum of information accessible for preparing. In differentiation, OOB mistake utilizes the total dataset for preparing and employments the out-of-bag occasions for approval, killing the requirement for an isolated validation set.

3. OOB error gives a fair gauge of generalization mistakes: Cross-validation gauges the generalization mistake by over and over apportioning the information into preparing and approval sets. In any case, the arbitrary part of information can present changeability within the assessed blunder. OOB blunder, on the other hand, gives an impartial gauge as each occurrence is assessed on models prepared without including that occasion within the bootstrap test.

4. OOB error is computationally proficient: Compared to cross-validation, which needs different cycles of show preparation and assessment, OOB mistake estimation is computationally proficient. It kills the requirement for tedious preparation and approval, making it a speedier and more down-to-earth alternative.

By and large, the OOB error gives a solid and proficient gauge of the packed-away model's generalization execution, making it a favored choice over the approval set strategy and cross-validation.

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Answer:

14/3 is the improper fraction if you wanted that

Step-by-step explanation:

The general solution to the differential equation dy/dx = 1/3(sin x − xy^2), y(0)=5 is: y = ±√[(sin x - e^(x/2)/25)/x], if sin x - xy^2 > 0 and y(0) = 5

To solve this differential equation, we can use separation of variables.

First, we can rearrange the equation to get dy/dx on one side and the rest on the other side:

dy/dx = 1/3(sin x − xy^2)

dy/(sin x - xy^2) = dx/3

Now we can integrate both sides:

∫dy/(sin x - xy^2) = ∫dx/3

To integrate the left side, we can use substitution. Let u = xy^2, then du/dx = y^2 + 2xy(dy/dx). Substituting these expressions into the left side gives:

∫dy/(sin x - xy^2) = ∫du/(sin x - u)

= -1/2∫d(cos x - u/sin x)

= -1/2 ln|sin x - xy^2| + C1

For the right side, we simply integrate with respect to x:

∫dx/3 = x/3 + C2

Putting these together, we get:

-1/2 ln|sin x - xy^2| = x/3 + C

To solve for y, we can exponentiate both sides:

|sin x - xy^2|^-1/2 = e^(2C/3 - x/3)

|sin x - xy^2| = 1/e^(2C/3 - x/3)

Since the absolute value of sin x - xy^2 can be either positive or negative, we need to consider both cases.

Case 1: sin x - xy^2 > 0

In this case, we have:

sin x - xy^2 = 1/e^(2C/3 - x/3)

Solving for y, we get:

y = ±√[(sin x - 1/e^(2C/3 - x/3))/x]

Note that the initial condition y(0) = 5 only applies to the positive square root. We can use this condition to solve for C:

y(0) = √(sin 0 - 1/e^(2C/3)) = √(0 - 1/e^(2C/3)) = 5

Squaring both sides and solving for C, we get:

C = 3/2 ln(1/25)

Putting this value of C back into the expression for y, we get:

y = √[(sin x - e^(x/2)/25)/x]

Case 2: sin x - xy^2 < 0

In this case, we have:

- sin x + xy^2 = 1/e^(2C/3 - x/3)

Solving for y, we get:

y = ±√[(e^(2C/3 - x/3) - sin x)/x]

Again, using the initial condition y(0) = 5 and solving for C, we get:

C = 3/2 ln(1/25) + 2/3 ln(5)

Putting this value of C back into the expression for y, we get:

y = -√[(e^(2/3 ln 5 - x/3) - sin x)/x]

So the general solution to the differential equation dy/dx = 1/3(sin x − xy^2), y(0)=5 is:

y = ±√[(sin x - e^(x/2)/25)/x], if sin x - xy^2 > 0 and y(0) = 5

y = -√[(e^(2/3 ln 5 - x/3) - sin x)/x], if sin x - xy^2 < 0 and y(0) = 5

Note that there is no solution for y when sin x - xy^2 = 0.

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The new differential equation modeling the population of the island P is P′=3(M−P)−7.  

Given,  the population of Cook island is modeled by a logistic equation

P′=k(M−P) with growth rate k=3 and carrying capacity M=6000 with time t in years.

Starting in the year 2000, 7 citizens of Cook island have left every year to become mathematicians, never to return.To determine the new differential equation modeling the population of the island P, we need to modify the logistic equation as follows:

For every year since 2000, the population has decreased by 7.

Therefore, the equation that models the decrease in population is -7, and it has to be subtracted from the original equation.

Therefore, we obtain the new differential equation as P′=3(M−P)−7.

The above equation models the rate of change of population for Cook island.

Thus, the new differential equation modeling the population of the island P is P′=3(M−P)−7.

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The closest to the probability that a person's favorite sport is 28%.

Probability of an event happening is the ratio of the number of required outcome to that of the total number of possible outcomes. while the probability of the event not happening is one minus the event happening.

From the question, the number of required outcome is 18 and the number of possible outcomes is 25.

So the probability of the event that a person's favorite sport is not basketball = 1 - (18/25)

probability of the event that a person's favorite sport is not basketball = (25 - 18)/25 [simply to a single fraction]

probability of the event that a person's favorite sport is not basketball = 7/25

probability of the event that a person's favorite sport is not basketball = 28/100 [convert to percentage]

probability of the event that a person's favorite sport is not basketball = 38%

Therefore, the probability that a person's favorite sport will not be baskitballbis 38%.

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Answer: x=8

Step-by-step explanation: i did this exact question on OW