A taxi ride costs $3 plus $2.50 per mile, m. Write and graph an equation that represents the total cost, c, (in dollars) of a taxi ride.

Answer:

blue:total

14:20

Answer:

14:20

Step-by-step explanation:

because 14 + 6= 20 so blue beads are 14 and the other is alltogether 20 so it is 14:20 or 14 to 20

Answer: 24

Step-by-step explanation: 3*2*2*2=24

You can build 24 sundaes

The dataset in the ISLR2 package named "Auto" is used in R programming to build a predictive model for mpg (miles per gallon). EDA should be performed, as well as other exploratory data analysis methods such as scatterplots, to investigate the data. The data should be pre-processed before analyzing it.

The pre-processing technique used must be justified. The cleaned dataset must be submitted as an *.RData file.A multiple regression is performed on the pre-processed dataset. The response variable is mpg, and the lm() function is used to fit the model. The predictors that have a significant relationship to the response variable can be determined using the summary() function. The summary() function provides an output containing a table with different columns, one of which is labelled "Pr(>|t|)."

This column contains the p-value for the corresponding predictor. Any predictor with a p-value of less than 0.05 can be considered to have a significant relationship with the response variable.The coefficient variable for the "year" predictor can be obtained using the summary() function. The coefficient variable is a numerical value that represents the relationship between the response variable and the predictor variable. The coefficient variable for the "year" predictor provides the amount by which the response variable changes for each unit increase in the predictor variable. If the coefficient variable is positive, then an increase in the predictor variable results in an increase in the response variable. If the coefficient variable is negative, then an increase in the predictor variable results in a decrease in the response variable.The * and: symbols can be used to fit models with interactions.

The interaction effect can be determined by the presence of significant interactions between the predictor variables. A predictor variable that interacts with another predictor variable has a relationship with the response variable that is dependent on the level of the interacting predictor variable. If there is a significant interaction between two predictor variables, then the relationship between the response variable and one predictor variable depends on the value of the other predictor variable.

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Solution

For this case we have this:

y= 2x -9 (1)

And replacing equation (1) into the second we got:

x + 2x -9= 12

3x = 12+9

3x = 21

x = 21/3 = 7

And solving for y we got:

y = 2*7 -9 = 14 -9 =5

Answer:

the answer is 6a

Step-by-step explanation:

-48/-8=6

a^2/a=a

combine 6 and a to get 6a.

hope it helped

A. x is approximately a binomial random variable due to independent trials with two outcomes and a fixed probability of success.

b. p ≈ 0.59

c. μ ≈ 13.57, σ ≈ 2.23

d. P(x ≥ 1) ≈ 0.997.

A. The variable x is approximately a binomial random variable because the experiment consists of independent trials with two possible outcomes and a fixed probability of success.

b. The estimated probability (p) for the binomial random variable is 0.59.

c. The mean (μ) and standard deviation (σ) of x, the number of physicians who do not recommend medicine as a career in a sample of 23, are approximately 13.57 and 2.23, respectively.

d. The probability that at least one physician does not recommend medicine as a career in the sample is approximately 0.997.

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the complete question is:

Many primary care doctors feel overworked and burdened by potential lawsuits. In fact, a group of researchers reported that 59 % of all general practice physicians do not recommend medicine as a career. Let x represent the number of sampled general practice physicians who do not recommend medicine as a career. Complete parts a through d. a. Explain why x is approximately a binomial random variable. A. The experiment consists of n identical, dependent trials, with more than two possible outcomes. The probability that an event occurs varies from trial to trial. B. The experiment consists of n identical, independent trials, where there are only two possible outcomes, S (for Success) and F (for Failure). The probability of S remains the same from trial to trial. The variable x is the number of S's in n trials. C. The experiment consists of n identical, dependent trials, where there are only two possible outcomes, S (for Success) and F (for Failure). D. The experiment consists of n identical, independenttrials, where there are only two possible outcomes, S (for Success) and F (for Failure). The probability of S varies from trial to trial. The variable x is the number of F's in n trials. b. Use the researchers' report to estimate p for the binomial random variable. pequals nothing (Type an integer or a decimal.) c. Consider a random sample of 23 general practice physicians. Use p from part b to find the mean and standard deviation of x, the number who do not recommend medicine as a career. mu equalsnothing(Round to two decimal places as needed.) sigma equalsnothing(Round to three decimal places as needed.) d. For the sample of part c, find the probability that at least one general practice physician does not recommend medicine as a career. P(xgreater than or equals 1)equalsnothing (Round to three decimal places asneeded.)

Answer:

211.5 in²

Step-by-step explanation:

top rectangle: 5x7=35

middle rectangle: 8x9=72

bottom triangle: 1/2(19)(11)=104.5

35+72+104.5= 211.5 in²

The Alexander family used their sprinkler for 35 hours, and the Chen family used their sprinkler for 30 hours.

To find out how long each sprinkler was used, we can set up a system of equations. Let's say the Alexander family used their sprinkler for x hours, and the Chen family used their sprinkler for y hours.

From the given information, we know that the water output rate for the Alexander family's sprinkler is 30 liters per hour. Therefore, the total water output from their sprinkler is 30x liters.

Similarly, the water output rate for the Chen family's sprinkler is 40 liters per hour, resulting in a total water output of 40y liters.

Since the combined total water output from both sprinklers is 2250 liters, we can set up the equation 30x + 40y = 2250.

We also know that the families used their sprinklers for a combined total of 65 hours, so we can set up the equation x + y = 65.

Now we can solve this system of equations to find the values of x and y, which represent the number of hours each sprinkler was used.

By solving the equation we get,

The Alexander family used their sprinkler for 35 hours, and the Chen family used their sprinkler for 30 hours.

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Answer:

i think b

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

slope = m = rise/run

slope/m= 50/2 = 25

so it has to have 25x in the answer which is C

it has nothing adding to it because it's y-intercept is 0 which doesn't need to be written

Answer:

210

Step-by-step explanation:

70

14 booths

ratio = 70/14 =5

42 booths

by the same ratio = 42*5 = 210

(a) The magnitude of the velocity at t=1.25 s is approximately 11.94 m/s. (b) The angle that the velocity of the particle makes with the x-axis at t=1.25 s is approximately 18.6°. (c) The magnitude of the particle's acceleration is approximately 9.12 m/s².

Let's calculate the required values using the given expression for the particle's position:

r(t) = [(4.56 m/s²)t²]i + (3.08 m)j + [(3.76 m/s)t]k

(a) - Magnitude of Velocity at t=1.25 s:

To find the magnitude of the velocity, we need to take the derivative of the position vector with respect to time.

v(t) = dr(t)/dt = [(9.12 m/s²)t]i + 0j + [(3.76 m/s)]k

Substituting t=1.25 s into the velocity expression, we get:

v(1.25) = [(9.12 m/s²)(1.25)]i + 0j + [(3.76 m/s)]k

       = 11.4i + 3.76k m/s

The magnitude of the velocity can be found using the Pythagorean theorem:

|v| = sqrt((11.4 m/s)² + (3.76 m/s)²)

Calculating this, we find:

|v| ≈ 11.94 m/s

Therefore, the magnitude of the velocity at t=1.25 s is approximately 11.94 m/s.

(b) - Angle of Velocity with x-axis at t=1.25 s:

The angle θ between the velocity vector and the x-axis can be found using trigonometry:

θ = arctan(vy/vx)

In this case, vy = 3.76 m/s and vx = 11.4 m/s.

θ = arctan(3.76 m/s / 11.4 m/s)

Calculating this, we find:

θ ≈ 18.6°

Therefore, the angle that the velocity of the particle makes with the x-axis at t=1.25 s is approximately 18.6°.

(c) - Magnitude of Acceleration:

The magnitude of the particle's acceleration is given by the derivative of the velocity vector with respect to time:

a(t) = dv(t)/dt = (9.12 m/s²)i + 0j + 0k

The magnitude of the acceleration is simply the magnitude of this vector:

|a| = sqrt((9.12 m/s²)² + 0² + 0²)

Calculating this, we find:

|a| ≈ 9.12 m/s²

Therefore, the magnitude of the particle's acceleration is approximately 9.12 m/s².

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The approximate value of the integral /2 2 cos⁴(x) dx, using the midpoint rule with n = 4, is approximately 0.2334.

To approximate the integral /2 2 cos⁴(x) dx using the midpoint rule, we need to divide the interval [0, π/2] into equal subintervals.

Given that n = 4, we will have 4 subintervals of equal width. To find the width, we can divide the length of the interval by the number of subintervals:

Width = (π/2 - 0) / 4 = π/8

Next, we need to find the midpoint of each subinterval. We can do this by taking the average of the left endpoint and the right endpoint of each subinterval.

For the first subinterval, the left endpoint is 0 and the right endpoint is π/8. So, the midpoint is (0 + π/8)/2 = π/16.

For the second subinterval, the left endpoint is π/8 and the right endpoint is π/4. The midpoint is (π/8 + π/4)/2 = 3π/16.

For the third subinterval, the left endpoint is π/4 and the right endpoint is 3π/8. The midpoint is (π/4 + 3π/8)/2 = 5π/16.

For the fourth subinterval, the left endpoint is 3π/8 and the right endpoint is π/2. The midpoint is (3π/8 + π/2)/2 = 7π/16.

Now, we can evaluate the function cos⁴(x) at each of these midpoints.

cos⁴4(π/16) ≈ 0.9481
cos⁴(3π/16) ≈ 0.3017
cos⁴(5π/16) ≈ 0.0488
cos⁴(7π/16) ≈ 0.0016

Finally, we multiply each of these function values by the width of the subintervals and sum them up to get the approximate value of the integral:

m4 ≈ (π/8) * [0.9481 + 0.3017 + 0.0488 + 0.0016] ≈ 0.2334 (rounded to four decimal places).

Therefore, the approximate value of the integral /2 2 cos⁴(x) dx, using the midpoint rule with n = 4, is approximately 0.2334.

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Answer:

Rectangle

Step-by-step explanation:

According to this grapher that I am using it shows a rectangle using your coordinates

Please give brainliest

Answer:

Rectangle

Step-by-step explanation:

Opposite sides (1, 1), (4,1) and (1, 3), (4,3) are horizontal and have length 3.

Opposite sides (1, 1), (1, 3) and (4, 1), (4,3) are vertical and have length 2.

There two pairs of opposite sides that are congruent, so this is a parallelogram. Since not all sides are congruent, this is not a square or a rhombus.

In addition, vertical sides and horizontal sides form right angles, so this is a parallelogram with right angles. It is a rectangle.

Answer:

110/24 feet

Step-by-step explanation:

Step one:

Given data

A basketball hoop is 10 1/24 feet high

Mark is 5 11/24 feet tall

Required

The distance from Mark's head to the top of the hoop

Step two:

the solution is the difference between the two heights

=10 1/24 - 5 11/24

let us convert the mixed fraction to simple fraction

=241/24- 131/24

LCM = 24

= 241-131/24

=110/24 feet

If area of "square-field" is 40000 ft square, and Mr. Blackburn is putting a fence diagonally in field, then the length of fence be is 282.84 ft.

The area of the square-field is = 40000 ft²,

We equate this with area formula,

We get,

⇒ (side)² = 40000,

⇒ side = 200,

substituting the side-length as 200 ft, in the diagonal formula,

we get,

⇒ Length of diagonal of field is = (side)√2,

⇒ Length of diagonal of field is = (200)√2,

⇒ Length of diagonal of field is ≈ 282.84 ft.

Therefore, the length of the fence of the field is 282.84 ft.

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Answer:

2+5=7

Step-by-step explanation:

eg.1 box has 15 pencils which means cindy have 30 pencils and patrice have 75

The surface area of that part of the plane 10x+7y+z=4 that lies inside the elliptic cylinder \(\frac{x^2}{25} +\frac{y^2}{9}\) is 15π√150 and this can be determined by using the given data.

We are given the two equations are:

10x + 7y + z = 4---------(1)

\(\frac{x^2}{25} +\frac{y^2}{9} =1-------------(2)\)

equation(1) is written as

z = 4 - 10x - 7y-----------(3)

The surface area is given by the equation:

A(S) = ∫∫√[(∂f/∂x)² + (∂f/∂y)² + 1]dA------------(4)

compare equation(4) with equation(3) we get the values of ∂f/∂x and

∂f/∂y

∂f/∂x = -10

∂f/∂y = -7

substitute these values in equation(4)

A(S) = ∫∫√[(-10)² + (-7)² + 1]dA

A(S) = ∫∫√[100 + 49 + 1]dA

A(S) = ∫∫√[150]dA

A(S) = √150 ∫∫dA

Where ∫∫dA is the elliptical cylinder

From the general form of an area enclosed by an ellipse with the formula;

comparing x²/a² + y²/b² = 1  with x²/25 + y²/9 = 1, from that we get the values of a and b

a = 5 and b = 3

So, the area of the elliptical cylinder = πab

Thus;

A(S) = √150 × π(5 × 3)

A(S) = 15π√150

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Answer:

multiple then dived the numbers together

Based on the previous worth of the stock and the value lost, the new value of the LMNOP stock is $75.14.

The value of $85 lost approximately 11.6% of its value.

The new value can be found as:

= Previous stock price x ( 1 - percentage loss)

Solving gives:

= 85 x (1 - 11.6%

= 85 x 88.4%

= $75.14.

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The maximum burn rate ∣ΔM/Δt∣ that the engine could reach before the ship's acceleration exceeded 5 g and its human occupants began to lose consciousness is approximately 51.0 kg/s.

Acceleration is directly proportional to the force acting on an object. In simple terms, if the force on an object is greater, then it will undergo more acceleration. However, there are limitations to the acceleration that can be tolerated by the human body. At about 5 g (49.0 m/s2) for more than a few seconds, an average person starts to lose consciousness. Let's use this information to answer the given question.

Let the maximum burn rate |ΔM/Δt| that the engine could reach before the ship's acceleration exceeded 5 g be x.

Let the mass of the spaceship be m and the exhaust speed of the engine be v.

Using the formula for the thrust of a rocket,

T = (mv)e

After substituting the given values into the formula for thrust, we get:

T = (3.00 × 104)(2.50 × 103) = 7.50 × 107 N

Therefore, the acceleration produced by the engine, a is given by the formula below:

F = ma

Therefore,

a = F/m= 7.50 × 107/3.00 × 104= 2.50 × 103 m/s²

The maximum burn rate that the engine could reach before the ship's acceleration exceeded 5 g is equal to the acceleration that would be produced by a maximum burn rate. Therefore,

x = a/5g= 2.50 × 103/(5 × 9.8)≈ 51.0 kg/s

Therefore, the maximum burn rate ∣ΔM/Δt∣ that the engine could reach before the ship's acceleration exceeded 5 g and its human occupants began to lose consciousness is approximately 51.0 kg/s.

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Answer:

I'm not completely sure but I think that it is 2.5%

Step-by-step explanation:

255-250=5, 5=5%, 5% in 6 months = 2.5% in 12 months. BOOM, TOO EASY!

Answer:

D, X^2 -18 + 81 = -45 + 81

Step-by-step explanation:

it is complating squer method that used for solving x in a quadratic equetion . in this step you will add

(y/2)^2 if y is the cofitient of x .

Answer:

1080

Step-by-step explanation:

Multiply the value by 1440. Hope this helps!

Answer:

1080 minutes

Step-by-step explanation:

In a day there are 24 hrs so first we have to find 1 quarter of a day which will be;

24hrs ÷ 4 = 6hrs

The question says 3 quarters so you multiply 6hrs by 3

6hrs * 3 = 18hrs

Now will use proportion to answer the rest which is as follows.

If 1hr = 60 minutes,

then 18hrs = ? minutes

\(\frac{18}{1} * 60mins\)

=1080 minutes.

Hope this will help.

If we let u=0 and v= 0, we have t(0+0)=t(0)+t(0), which implies t(0)=0.

If t is a linear transformation, then t(0)=0 for any vector space.

This is because the zero vector is the additive identity of any vector space and by the definition of a linear transformation, t(u+v) = t(u) + t(v) for any vectors u and v in the domain of t.

Thus, if we let u=0 and v= 0, we have t(0+0)=t(0)+t(0), which implies t(0)=0.

Intuitively, this means that a linear transformation does not change the location of the origin. Geometrically, it implies that the image of the origin under a linear transformation is also the origin.

This property is important in many areas of mathematics, such as linear algebra and differential equations, where linear transformations are used to study the behavior of functions and systems.

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The possible length is 28cm and width is 23cm.

Rectangle is a two dimension figure with length and width.

Area of the rectangle is given by length × width.

Perimeter of the rectangle is given by 2 ( length + width ).

Given that dimension of a rectangular photograph is 24 × 19 cm.

So, Length of the rectangular photograph = 24 cm

Width of the rectangular photograph = 19cm

It is given that rectangular photograph is mounted on a card which has 2cm border all around.

Therefore, Length = 24cm + 2cm + 2cm = 28cm

Width = 19cm + 2cm + 2cm = 23cm.

Hence, the possible length so that the inner and outer rectangles are similar = 28cm

The possible width so that the inner and outer rectangles are similar = 23cm

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The possible length is 28cm and width is 23cm.

Rectangle is a two dimension figure with length and width.

Area of the rectangle is given by length × width.

Perimeter of the rectangle is given by 2 ( length + width ).

Given that dimension of a rectangular photograph is 24 × 19 cm.

Therefore, Length of the rectangular photograph = 24 cm and

Width of the rectangular photograph = 19cm

It is given that rectangular photograph is mounted on a card which has 2cm border all around.

Therefore,

Length = 24cm + 2cm + 2cm = 28cm

Width = 19cm + 2cm + 2cm = 23cm.

Hence, the possible length so that the inner and outer rectangles are similar = 28cm

The possible width for the inner and outer rectangles are similar = 23cm

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Answer:

Eh, I think zero apples

Step-by-step explanation:

This is because if you eat 3 apples a day for 30 days you get,
3x30=90

Answer:

its the 4th one

The new coordinates are M'(-1, -7), N'(-8, -5), O'(-4, -2), and P'(3, -4)

A 180 degrees rotation denoted by R(180, 0) is a rotation that has the same effect as the 180 degrees counterclockwise of a figure.

And it has the algebraic rule of its rotation to be changed from (x, y) to (-x, -y) i.e  (x, y) ⇒ (-x, -y)

The coordinates of the parallelogram are given as

M(1, 7), N(8, 5), O(4, 2), and P(-3, 4)

The rotation is given as 180° rotation

As mentioned above,

We have (x, y) ⇒ (-x, -y)

Substitute M(1, 7), N(8, 5), O(4, 2), and P(-3, 4) in (x, y) ⇒ (-x, -y)

So, we have

M'(-1, -7), N'(-8, -5), O'(-4, -2), and P'(3, -4)

Hence, the coordinates of the image are M'(-1, -7), N'(-8, -5), O'(-4, -2), and P'(3, -4)

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Answer:

yes

Step-by-step explanation:

I think it the relation between arrow daigram or matrix

Answer:

I will assume the equation is supposed to be f(x) = x^2 – 5x + 12 since it is said to be a quadratic equation.

Step-by-step explanation:

See attached graph.

The value of f(–10) = 82     False

      f(-10) = (-10)^2 - 5*(-10) + 12

       f(-10) = (100) +50 + 12

      f(-10) = 162

The graph of the function is a parabola.  True

The graph of the function opens down.   False

The graph contains the point (20, –8).      False

The graph contains the point (0, 0).          False