KARWA TAXI FARE STARTS AT A FIXED RATE OF Rs 10 AND RUNS AT Rs 1.20 PER KM DURING THE DAY TIME AND Rs 1.80 PER KM AT NIGHT. FRAME A LINEAR EQUATION TO CALCULATE THE TAXI FARE FOR A JOURNEY FROM YOUR HOME TO VILLAGIO MALL​

The distance between point P and line L is 16/9√(13).

To find the distance between point P and line L, we can use the formula for the distance between a point and a line in two-dimensional space. The formula is as follows:

Let P = (x1, y1) be the point and L be the line ax + by + c = 0. Then the distance between P and L is:

|ax1 + by1 + c|/√(a² + b²)

To find a, b, and c for the given line, we need to put it in slope-intercept form y = mx + b by solving for y.

2x - 3y = 12=> 2x - 12 = 3y=> (2/3)x - 4 = y

The slope of the line, m, is the coefficient of x, which is 2/3. Therefore, the line is:

y = (2/3)x - 4The values of a, b, and c are: a = 2/3b = -1c = -4

Now we can substitute the coordinates of P and the values of a, b, and c into the formula for the distance between a point and a line.

Let P = (3, 5).|a(3) + b(5) + c|/√(a² + b²)= |(2/3)(3) - 1(5) - 4|/√[(2/3)² + (-1)²]= |-4/3 - 4|/√(4/9 + 1)= 16/9√(13).

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Explanation:

Let's draw a vertical line to split the figure into two rectangles.

The rectangle on the left is 42 by 9, so its area is 42*9 = 378.

The rectangle on the right is 7 by 20 giving an area of 7*20 = 140.

Overall, the entire area is 378+140 = 518 square yards

Solution:

Draw the rectangle:

Refer to image~

Finding the area of the rectangle:

Finding the area of the unshaded region:

Subtract the area of the unshaded region from the area of the rectangle.

The area of the figure is 518 yd².

After answering the presented question, standard deviation t Lower bound = X - \((t * (s/\sqrt(n))) = 1271.89 - (1.860 * (34.753/\sqrt(9))) = 1238.94\)

A statistic that expresses the variability or variation of a bunch of values is the standard deviation. A high standard deviation indicates that the values are more distributed, whereas a low standard deviation indicates that the numbers are closer to the set mean. The standard deviation is a measure of how far the data are from the mean (or ). When the standard deviation is small, the data tends to cluster around the mean; when it is great, the data is more spread. The standard deviation represents the average variability of the data collection. It displays the average deviation from the mean of each score.

Next, we need to find the t-value for a 90% confidence interval with 8 degrees of freedom (n-1):

t = t(0.05, 8) = 1.860

Now we can calculate the lower and upper bounds of the confidence interval:

Lower bound = X - \((t * (s/\sqrt(n))) = 1271.89 - (1.860 * (34.753/\sqrt(9))) = 1238.94\)

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Answer:

D. 0.79

Step-by-step explanation:

To find the probability that a Hospitality Management student has visited 21 or more states, we need to sum up the probabilities of the categories that represent students who have visited 21 states or more.

The probabilities of the categories are as follows:

Visited 21–30 states: 45% = 0.45

Visited 31–40 states: 19% = 0.19

Visited 41–50 states: 15% = 0.15

So, the total probability of a student having visited 21 or more states is:

0.45 + 0.19 + 0.15 = 0.79.

Therefore, the probability that a Hospitality Management student has visited 21 or more states is 0.79 or 79%.

Answer:

4

Step-by-step explanation:

I'm not to sure though your answer doesn't really maker sense

Answer:

(x-6)(x-6) or (x-6)^2

Step-by-step explanation:

Answer: x=-6

Step-by-step explanation:

Answer:

x=-6

Step-by-step explanation:

Put it in an equation,

7-2x=19

Solve for x

Subtract 9 on both sides

-2x=12

Divide -2 on both sides

x=-6

Answer:

4

just go with it the explaining  would take to long

Step-by-step explanation:

I will take 1000 dollars because it is advertised at 1000 dollars

Answer:

Step-by-step explanation:

b

The equivalent equatiοn x² + 16x = 22 will be (x + 8)² = 86. Then the cοrrect οptiοn is A.

The equivalent is the expressiοns that are in different fοrms but are equal tο the same value. Equivalent expressiοns are expressiοns that wοrk the same even thοugh they lοοk different. If twο algebraic expressiοns are equivalent, then the twο expressiοns have the same value when we plug in the same value(s) fοr the variable(s).

The equatiοn is given belοw.

x² + 16x = 22

Add bοth side 64.

x² + 16x + 64 = 22 + 64

        (x + 8)² = 86

Then the cοrrect οptiοn is A.

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Complete question:

Which equation is equivalent to the given equation? x² + 16x = 22

a. (x+8)² = 86

b. (x+8)² = 38

c. (x+16)² = 278

d. (x+4)² = 22

Answer:

8.25

Step-by-step explanation:

first substitution

x=4 and y=7

square root(i dont have it) 4(x)7 + 9(x)4 =

square root 28+36 =

square root 64 =

8.246211251

round to 3 significant figure = 8.25

The multiplication of the number 340 and 962 is 3,27,080

Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

We will call d as ones digit, then c as tens digit (it get multiplied by 10), b as hundreds digit.

We call e as digit at 10th place (division by 10), f as digit at hundredth place etc..

We are given the two numbers as 340 and 962.

we need to find the product of the numbers

  340

x 962

______

3,27,080

Hence,

340 x 962 = 3,27,080

Therefore, the multiplication of the number is 3,27,080

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Answer:

$600

Step-by-step explanation:

Let x = og price

x - 0.29x = 426

0.71x=426

÷0.71 ÷0.71

x = 600

Answer:

3$

Step-by-step explanation:

18 - 3 = 15 divided by 5 = 3

The exponential equation that models the situation is; y = 2,716·(0.85)ˣ

The amount of battery charge that will be in the phone after 6 hours therefore is 1024 milliamperes

An exponential equation is an equation that has the input variable as an exponent; y = a·bˣ

The rate at which the cell phone battery is losing battery charge = 15% per hour

The capacity of the iPhone X starts at 2,716 milliamperes

Therefore, the rate at which at which the battery is discharging is an exponential relationship. The equation that models the situation can therefore be expressed as follows;

y = 2,716 × (1 - 0.15)ˣ = 2,716 × (0.85)ˣ

Where;

y = The current battery charge

x = The number of hours the battery has been losing battery charge

When x = 6, we get;

y = 2,716 × (0.85)⁶ ≈ 1024

y = 1024

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Answer:

No

Step-by-step explanation:

Given values are

f(x) = 5x^3+60x^2+109x+90

x = -10.

Given Polynomial is 5x^3+60x^2+109x+90 .

= (90)+(5.x^3)+(60.x^2)+(109.x)

By putting x = (-10) we can rewrite it as

= (90)+(5.(-10)^3)+(60.(-10)^2)+(109.(-10))

= (90)+(-5000)+(6000)+(-1090)

= 0

The remainder of given polynomial is 0.

The coordinates to which the portable irrigation system should be sent to water the area are:

(495.75, 672).

The portable irrigation system should be sent right to the middle of the dry area given by the rectangle at the end of the answer.

Hence the coordinates are given as follows:

Hence the x-coordinate of the point to which the system should be sent is:

x = (56 + 144 + 888 + 895)/4 = 495.75.

(the mean is given by the sum of the observations divided by the number of observations).

The y-coordinate of the point to which the system should be sent is:

y = (289 + 332 + 1012 + 1055)/4 = 672.

The area is given by the image at the end of the answer.

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Answer:

Erin gets £90

Step-by-step explanation:

Ratio = 5 : 2 : 7

Money with Erin = 5x

Money with Faye = 2x

Money with Sachin = 7x

Faye gets £90 less than Sachin

7x -  2x = 90

      5x = 90

        x = 90/5

        x = 18

Money with Erin = 5*18 = 90

The total measurements of the roof in square feet as required to be determined in the task content is; 2649 ft².

It follows from the task content that the total area of the roof as given in the task content is to be determined.

On this note, the area of the roof is the total area of the 71ft by 39 ft rectangle minus the area of the shaded region with dimensions 15 ft by 8 ft.

Therefore;

Area = (71 × 39) - (15 × 8)

= 2649 ft².

Ultimately, the total area measure of the roof in square feet is; 2649 square feet.

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Answer:

A is the answer

Step-by-step explanation:

if its wrong than its C

Hello

42. ?

100 17

We use cross product.

\( \frac{42 \times 17}{100} = 7.14\)

42% of 17 => 7.14

Have a nice day ;)

\(\huge\text{Hey there!}\)

\(\huge\textbf{Question reads....}\)

\(\large\textbf{What is 42\% of 17?}\)

\(\huge\textbf{Answering your question}\)

\(\mathbf{42\% \ of \ 17}\)

\(\huge\textbf{Translating it to easier to terms}\)

\(\mathbf{42\% \ of \ 17}\)

\(\mathbf{= 42\%\times 17}\\\)

\(\mathbf{= \dfrac{42}{100}\times 17}\)

\(\mathbf{= \dfrac{42\div2}{100\div2}\times17}\)

\(\mathbf{= \dfrac{21}{50}\times17}\)

\(\mathbf{= \dfrac{21}{50} \times \dfrac{17}{1}}\)

\(\mathbf{= \dfrac{21\times17}{50\times1}}\)

\(\mathbf{= \dfrac{357}{50}}\)

\(\mathbf{= 357 \div 17}\)

\(\mathbf{= 7.14}\)

\(\huge\textbf{Answer }\bf \huge\boxed{\downarrow}\)

\(\huge\text{Therefore, your answer should be: \boxed{\mathsf{7.14}}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

Answer:

w(25) = 96

There are 96 wolves in the year 2020

Step-by-step explanation:

Given:

\(w(x)=14\cdot 1.08^{x}\)

w(25) =

\(w(25)=14\cdot 1.08^{25}\\\\= 14 * (6.848)\\\\=95.872\\\\\approx 96\)

Number of years : 1995 + 25 = 2020

In 2020, there are 96 wolves

The point slope equation and slope of some lines are given below

1) For y - 6 = 3(x - 5), slope = 3

2) For  y - 4 = -9(x + 8), slope = -9

3) y - 2 = 5x, slope = 5

4) Point slope equation of line whose slope = -10 and passing through   (1, 4)

   y - 4 = -10(x - 1)

5) Point slope equation of line whose slope = 2 and passing through    (5, -3)

      y  + 3 = 2(x - 5)

6) Point slope equation of line whose slope = \(\frac{1}{2}\) and passing through    (-7, -7)

   \(y +7 = \frac{1}{2}(x +7)\\\)

What is equation of line in point slope form?

The most general form of equation of line in point slope form is given by \(y - y_1 = m(x - x_1)\) , \((x_1, y_1)\) is a point on the line

Where m is the slope of the line

Slope of a line is the tangent of the angle that the line makes with the positive direction of x axis.

If  \(\theta\) is the angle that the line makes with the positive direction of x axis, then slope (m) is given by

m = \(tan\theta\)

1) y - 6 = 3(x - 5)

  y - 6 = 3x - 15

  y = 3x - 15 + 6

  y = 3x - 9

  Slope = 3

  If x = 0,

  \(y = 3 \times 0 -9\\y = -9\)

  (0, -9) is a point on the line

2) y - 4 = -9(x + 8)

   y - 4 = -9x - 72

   y = -9x - 72 + 4

   y = -9x - 68

   Slope  = -9

   If x = 0

   \(y = -9 \times 0 -68\\y = -68\)

   (0, -68) is a point on the line

3) y - 2 = 5x

   y = 5x + 2

  Slope = 5

    Putting x = 0

    \(y = 5 \times 0 + 2\\y = 2\)

    (0, 2) is a point on the line

4) Slope = - 10

    The line passes through (1, 4)

    Point slope equation

      y - 4 = -10(x - 1)

5) Slope = 2

    The line passes through (5, -3)

     Point slope equation

      y - (-3) = 2(x - 5)

      y + 3 = 2(x - 5)

6) Slope = \(\frac{1}{2}\)

      The line passes through (5, -3)

     Point slope equation

       \(y - (-7) = \frac{1}{2}(x - (-7))\\y +7 = \frac{1}{2}(x +7)\\\)

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Answer: B

Step-by-step explanation:

Answer:

The height of the ball is less than 17 feet for t > 2 seconds.

Step-by-step explanation:

The height of the ball after t seconds is given by the following equation:

\(h(t) = -16t^{2} + 81\)

For which interval of the time is the height of the ball less than 17 feet

This is t for which:

\(h(t) < 17\)

So

\(-16t^{2} + 81 < 17\)

\(16t^{2} < -64\)

Multiplying by -1

\(16t^{2} > 64\)

\(t^{2} > \frac{64}{16}\)

\(t^{2} > 4\)

\(t > \sqrt{4}\)

\(t > 2\)

The height of the ball is less than 17 feet for t > 2 seconds.

Answer:

2

Step-by-step explanation:

y = mx + b

y = total cost of the gym

m = cost per personal session

x = number of sessions

b = cost of one month

Silver gym:

y = 30x + 25

Fit Factor:

y = 20x + 45

Set them Equal to each other:

30x + 25 = 20x + 45                   (get Xs on one side by subtracting 20x)

10x + 25 = 45                              (isolate x by subtracting 25 from both sides)

10x = 20                                      (divide both sides by 10)

x = 2 personal training sessions to make the cost equal

The first time that Account X will have more money than Account W, excluding the initial deposits, is in the fifth month.

To determine when Account X will contain more money than Account W, we need to compare the balances of the two accounts each month until Account X surpasses Account W.

Let's analyze the balances of the two accounts month by month:

Month 1:

Account W: $0 + $100 = $100

Account X: $1 + 80% × $1 = $1 + $0.80 = $1.80

Month 2:

Account W: $100 + $100 = $200

Account X: $1.80 + 80% × $1.80 = $1.80 + $1.44 = $3.24

Month 3:

Account W: $200 + $100 = $300

Account X: $3.24 + 80% × $3.24 = $3.24 + $2.592 = $5.832

Month 4:

Account W: $300 + $100 = $400

Account X: $5.832 + 80% × $5.832 = $5.832 + $4.6656 = $10.4976

Month 5:

Account W: $400 + $100 = $500

Account X: $10.4976 + 80% × $10.4976 = $10.4976 + $8.39808 = $18.89568

Please note that the values provided in this calculation assume no withdrawals and no interest earned on the balances.

As we can see, by the fifth month, Account X will contain more money than Account W. The first time that Account X will have more money than Account W, excluding the initial deposits, is in the fifth month.

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The maximum height of the golf ball on Mars is about 48.8 meters.

To find how much longer it would take for the golf ball hit on Mars to reach the ground, we can use the given equation h = -1.9t² + 26t, where h is the height of the object and t is the time in seconds. First, we need to find the time it takes for the golf ball to reach the ground on Mars. Setting h = 0, we get:

0 = -1.9t² + 26t

Solving for t using the quadratic formula, we get t = 13.684 or t = 0.856. Since the golf ball is launched upward, we need the positive value of t, so it takes about 13.7 seconds for the golf ball to reach the ground on Mars. Therefore, it takes 13.7 − 5.4 = 8.3 seconds longer for the golf ball hit on Mars to reach the ground than the golf ball hit on Earth.

To find the maximum height of the golf ball on Mars, we can use the formula h = -1.9t² + 26t, where t is the time when the height is maximum. Since the formula is a quadratic equation, the maximum height occurs at the vertex of the parabola, which is at t = -b/2a.

In this case, a = -1.9 and b = 26, so the time at maximum height is t = -26 / 2(-1.9) = 6.842. Plugging this value into the equation for h, we get:

= -1.9(6.842)² + 26(6.842) ≈ 48.8 meters

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