6. Alicia has a friend at work who is selling a used Honda. The car has 60,000 miles
on it. Alicia comparison shops and find these prices for the same car.
a. Find the mean price of the 5 prices listed.
b. How many of these cars are priced below the mean?
Prles
$22,500
$19,000
$17,000
$17,800
$16,900
c. Find the median price?
d. How many of these cars are priced below the median?

Answer:

5000x^8

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The end of the 48-inch long treadmill is raised approximately 8.36 inches.

The incline of the treadmill is given as 10 degrees.

We can use trigonometry to calculate the height of the end of the treadmill.

The height (h) can be found using the formula h = l * sin(θ), where l is the length of the treadmill and θ is the angle of inclination.

Substitute the values into the formula:

h = 48 inches * sin(10 degrees)

Calculate the sine of 10 degrees using a calculator:

sin(10 degrees) ≈ 0.1736

Multiply the length of the treadmill by the sine of the angle:

h = 48 inches * 0.1736 ≈ 8.36 inches

The end of the 48-inch long treadmill is raised approximately 8.36 inches when set at an incline of 10 degrees.

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To find a recursive Nevill's method when interpolating a table using a polynomial at x = 4.1, we can use the following steps:

Step 1: Set up the given data in a table with two columns, one for f(x) and the other for x.

f(x)             x

36               1.16164956

3.80201036       4.0

0.30663842       4.2

0.35916618       -123926000.4

Step 2: Begin by finding the first-order differences in the f(x) column. Subtract each successive value from the previous value.

Δf(x)            x

-32.19798964     1.16164956

-3.49537194      4.0

-0.05247276      4.2

Step 3: Repeat the process of finding differences until we reach a single value in the Δf(x) column. Continue subtracting each successive value from the previous one.

Δ^2f(x)          x

29.7026177       1.16164956

3.44289918       4.0

Step 4: Repeat Step 3 until we obtain a single value.

Δ^3f(x)          x

-26.25971852     1.16164956

Step 5: Calculate the divided differences using the values obtained in the previous steps.

Divided Differences:

Df(x)             x

36                1.16164956

-32.19798964     4.0

29.7026177       4.2

-26.25971852     -123926000.4

Step 6: Apply the recursive Nevill's method to find the interpolated value at x = 4.1 using the divided differences.

f(4.1) = 36 + (-32.19798964)(4.1 - 1.16164956) + (29.7026177)(4.1 - 1.16164956)(4.1 - 4.0) + (-26.25971852)(4.1 - 1.16164956)(4.1 - 4.0)(4.1 - 4.2)

Solving the above expression will give the interpolated value at x = 4.1.

Q2: To construct an approximation polynomial using the Hermite method, we follow these steps:

Step 1: Set up the given data in a table with three columns: f(x), f'(x), and x.

f(x)             f'(x)              x

2.572152         7.615964          1.2

3.602102         13.97514          1.3

5.797884         34.61546          1.4

14.101442        199.500           1.5

Step 2: Calculate the divided differences for the f(x) and f'(x) columns separately.

Divided Differences for f(x):

Df(x)            \(D^2\)f(x)           \(D^3\)f(x)

2.572152         0.51595           0.25838

Divided Differences for f'(x):

Df'(x)           \(D^2\)f'(x)

7.615964         2.852176

Step 3: Apply the Hermite interpolation formula to construct the approximation polynomial.

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\(\large\bf{\underline{We\:have\:to\:find:-}}\)

\(\large\bf{\underline{To \:find\:the\:value\:of\:x}}\)

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\(⟹4x + 12 = 8\)

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\(⟹4x = 8 - 12\)

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\(⟹4x = - 4\)

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\(⟹x = \frac{ - 4}{4} \)

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\(⟹x = - 1\)

\(\large\bf{\underline{Putting\:the\:value\:of\:x\:in\:2x+7}}\)

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\(=2x + 7\)

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\(=2( - 1) + 7\)

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\(= - 2 + 7\)

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎\(= 5\)

__________________________________________

\(\large\bf{\underline{Hence}}\)

\(\huge{2x + 7}\)

\(\huge{=5}\)

Answer:

x = 3 and y = 5

Step-by-step explanation:

y = x+2

3x+2(x+2)=19

3x+2x+4=19

5x+4=19

    -4   -4

5x=15

x=3

y=x+2

y=(3)+2

y=5

Answer:

x=3 and y=5

Step-by-step explanation:

Answer:

on day 6

Step-by-step explanation:

you would multiply

Answer:

Option B is the correct option.

Step-by-step explanation:

\( - \frac{1}{2} + x = - \frac{21}{4} \)

Move constant to R.H.S and change its sign:

\(x = - \frac{21}{4} + \frac{1}{2} \)

Take the L.C.M

\(x = \frac{ - 21 + 1 \times 2}{4} \)

\(x = \frac{ - 21 + 2}{4} \)

Calculate

\(x = - \frac{19}{4} \)

Hope this helps...

Good luck on your assignment..

Step-by-step explanation:

-19/4 is the correct answer for your question

1. The linear function .f(2) = 79.4, therefore, test average for maths class after 2 test is: 79.4

2. Using the function table, the test average for science class is after the second test is: 84.

3. f(4) = 79.8

4. g(4) = 80

5. Science class was higher.

The equation of a linear function is given as .f(x) = mx + b, given that m represents the slope/unit rate, and b is the y-intercept or starting value.

The linear function for average test score in maths class is given as, .f(x) = 0.2x + 79

Write the linear function for science class;

Slope (m) = change in y/change in x = (84 - 82)/(2 - 3) = 2/-1

Slope (m) = -2

Substitute m = -2 and (x, y) = (3, 82) into y = mx + b:

82 = -2(3) + b

82 = -6 + b

82 + 6 = b

88 = b

b = 88

Substitute m = -2 and b = 88 into g(x) = mx + b:

g(x) = -2x + 88

Part 1:

Substitute x = 2 into .f(x) = 0.2x + 79

.f(2) = 0.2(2) + 79

.f(2) = 79.4

Test average for maths class after 2 test is: 79.4

Part 2:

Using the function table, when x = 2, the test average for science class is: 84.

Part 3:

Substitute x = 4 into  .f(x) = 0.2x + 79

.f(4) = 0.2(4)+ 79

.f(4) = 79.8

Part 4:

Substitute x = 4 into g(x) = -2x + 88

g(4) = -2(4) + 88

g(x) = 80

Part 5:

Science class had a higher test 4 average of 80.

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Using the inclusion-exclusion principle for Venn diagram to expand the intersection of two events we conclude that 2p + 2q + 2r = 4/5.

In the area of mathematical logic known as set theory, we study sets and their characteristics. A set is a grouping or collection of items. These things are frequently referred to as elements or set members. A set is, for instance, a team of cricket players. We may claim that this set is finite since a cricket team can only have 11 players at a time.

P[(A ∪ B) ∩ (B' ∪ A')] = 8/25

Using the inclusion-exclusion principle to expand the intersection of two sets:

P[(A ∪ B) ∩ (B' ∪ A')] = P[(A ∪ B) - (A ∩ B')] + P[(B' ∪ A') - (A ∩ B')]

P[(A ∪ B) ∩ (B' ∪ A')] = [P(A) + P(B) - P(A ∩ B')] + [P(B') + P(A') - P(A ∩ B')]

Substituting the given probabilities and simplifying, we get:

P[(A ∪ B) ∩ (B' ∪ A')] = [(7/25) + (1/5) - x] + [(4/5) - (7/25) - x] = 8/25

Solving for x, we get:

x = 1/25

Now we can use the given probabilities to solve for 2p + 2q + 2r:

2p = P(A) = 7/25

2r = P(B') = 1 - P(B) = 4/5

2q = P[(A ∩ B') ∪ (A' ∩ B)] - P(A ∩ B') - P(A' ∩ B) = (8/25) - (1/25) - (q)

2q = 7/25

Simplifying, we get:

2p + 2q + 2r = (7/25) + (7/25) + (4/5) = 28/25 + 20/25 = 48/25

Dividing by 2, we get:

p + q + r = 24/25

Finally, multiplying by 2 again, we get:

2p + 2q + 2r = 48/25

So we have shown that 2p + 2q + 2r = 4/5.

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Answer:

x ≈ - 5.83 , x ≈ - 0.17

Step-by-step explanation:

x² + 6x + 1 = 0 ( subtract 1 from both sides )

x² + 6x = - 1

Using the method of completing the square

add ( half the coefficient of the x- term)² to both sides

x² + 2(3)x + 9 = - 1 + 9

(x + 3)² = 8 ( take square root of both sides )

x + 3 = ± \(\sqrt{8}\) ( subtract 3 from both sides )

x = - 3 ± \(\sqrt{8}\)

Then

x = - 3 - \(\sqrt{8}\) ≈ - 5.83 ( to 2 dec. places )

x = - 3 + \(\sqrt{8}\) ≈ - 0.17 ( to 2 dec. places )

The train will have traveled option (C) 450 km from its starting point after 4 more hours at the same average speed.

The average speed of the train is given by the distance traveled divided by the time taken to travel that distance

average speed = distance ÷ time

Using this formula, we can find the average speed of the train:

average speed = 250 km ÷ 5 h = 50 km/h

Now that we know the average speed of the train, we can use it to calculate how far it will have traveled after another 4 hours:

distance = average speed × time

distance = 50 km/h × 4 h = 200 km

Therefore, the train will have traveled 250 km + 200 km = 450 km from its starting point after 4 more hours at the same average speed.

So, the answer is (C) 450 km.

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Answer:

Step-by-step explanation:

"To find the four-year inflation rate from December 1973 to December 1977, you can use the formula:

Inflation rate = ((CPI in 1977 - CPI in 1973) / CPI in 1973) x 100%

From the CPI table, we can see that the CPI in December 1973 was 146.4, and the CPI in December 1977 was 207.9. So, the inflation rate is:

((207.9 - 146.4) / 146.4) x 100% = 41.9%

Therefore, the four-year inflation rate from December 1973 to December 1977 is 41.9%. Does that help?"

Beginning:

You see...

You see:

It is the bisector of the photosynthesis if you want the nucleustransformation to let you know transpirtation is present for the bisector of photosynthesis and then the nucleus would get a membrane which allowed the photosynthesis synthesise into photos that needs to be taken by photographer

In Conclusion:

Gimme Brainliest

Answer:

A

Step-by-step explanation:

6x+y<=4

3x-y>8

Answer:

a.$1230

b.$20.50

Step-by-step explanation:

Assuming Landon only makes the minimum payments for the sixty months this is how you would find it

Multiply loan by percentage over the five years: 4100 x .3 = 1230

Then divide that amount by months paid: 1230/60= 20.5

Answer:

42.50

Step-by-step explanation:

bill + tip = total bill

The tip is based on the bill

tip = bill * 20%

tip = bill * .20

Replace in the original equation

bill + .20 bill = total bill

Combine like terms

1.20 bill = total bill

The total bill was 51 dollars

1.20 bill = 51

Divide each side by 1.20

1.20 bill / 1.2 = 51/ 1.2

bill =42.50

Answer:

$42.50

Step-by-step explanation:

If the total was $51 with the tip, and you know the tip was 20%, you can set up an equation and solve:

0.2x+x=51

1.2x=51

x=42.5

Therefore, the bill (w/o tip) was $42.50

p.s.Please give me brainliest. Thank you! :)

One solution, the answer is x = 0.

Answer:

r= -2 and 2

Step-by-step explanation:

The equation |r|=2 is an example of absolute value. So any number inside the absolute value symbols is positive. This is why -2 and 2 would be two values for this equation. So, |-2|=2 and |2|=2.

Answer:

-6

Step-by-step explanation:

Hope I understand your "f(x) = 12 over the quantity of 4 x + 2" correctly

f(x) = 12 / 4x +2

Now so they want a f(-1), as u can see they substituted the x for - 1, therefor do that the same to the right side

f(-1) = 12/ 4(-1) + 2

f(-1) = 12 / - 4+2

= 12/ - 2

= - 6

There are 5x6=30 one-to-one functions from a set containing 5 elements to a set containing 6 elements.

A one-to-one (or injective) function is a type of mathematical function that maps each element of one set to one, and only one, element of another set. In other words, a one-to-one function is a function that has a unique output for each input. To calculate the number of one-to-one functions from a set containing 5 elements to a set containing 6 elements, we can use the formula f(x)=y, where x is the number of elements in the original set and y is the number of elements in the target set. In this case, x = 5 and y = 6, so f(x) = 6. Since each element in the original set must be mapped to a unique element in the target set, the total number of one-to-one functions is equal to the product of x and y, or 5 x 6 = 30.

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Answer:

The probability of drawing a red marble = 2/5. The probability of drawing a blue marble is now = 1/4.

Step-by-step explanation:

The sum of the series [infinity] at n = 1 is equal to 7.

To find the sum of the series [infinity] at n = 1 whose partial sums are given as sn = 7 − 6(0.6)n, we use the given formula :

lim n→∞ sn

So, we need to find the limit of sn as n approaches infinity.

Therefore, we get:

s = lim n→∞ sn= lim n→∞ (7 − 6(0.6)n) = 7 − 6 × lim n→∞ (0.6)n

For the limit, we note that (0.6)n is a geometric series, and its common ratio is r = 0.6.

Therefore, we use the formula to find the limit of the geometric series as n approaches infinity.

Thus, we get:

lim n→∞ (0.6)n= 0 n = ∞

The reason being that 0 < r < 1, then the sum of the infinite series becomes infinite because the terms are continuously getting smaller and smaller but never actually get to 0. Now, plugging in this value to our equation for s, we obtain:

s = 7 − 6 × 0= 7

Therefore, the sum of the series [infinity] at n = 1 whose partial sums are given as sn = 7 − 6(0.6)n is equal to 7.

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Answer:

y- coordinate = 4

Step-by-step explanation:

consider a right triangle formed by the x- axis, the radius (hypotenuse) of 5 and a vertical line drawn to the x- axis from the point ( 3, - )

using Pythagoras' identity in the right triangle

3² + y² = 5²

9 + y² = 25 ( subtract 9 from both sides )

y² = 16 ( take square root of both sides )

y = \(\sqrt{16}\) = 4

the y- coordinate of the point is 4 , that is (3, 4 )

Answer:

y= coordinate 4

right triangle formed by the x- axis, the radius (hypotenuse) of 5 and a vertical line drawn to the x- axis from the point ( 3, - )

using Pythagoras' identity in the right triangle

3² + y² = 5²

9 + y² = 25 ( subtract 9 from both sides )

y² = 16 ( take square root of both sides )

y =

16

16

= 4

the y- coordinate of the point is 4 , that is (3, 4 )

Answer:

x must be 6 because 6 * 3 is 18 which is greater than 16 but less than 20. x can't be 6.1 or include decimals or fractions because integers are whole numbers just adding negative numbers so therefore 6 is the only answer for this question.

Step-by-step explanation:

Hope this is the answer you were looking for. If I am wrong I will try correcting my mistake. :)

Answer:

a) Slave labor was needed for the economy.

Step-by-step explanation:

Slave labor was needed for the economy of the southern states during the early 1800’s. Hence, the option (a) is correct.

In the case where the initial condition is y(4) = -3, the solution to the differential equation (t2-9)y' - ln(t)y = 3t can be found anywhere on the interval [0, ].

It is necessary to take into consideration the domain of the given problem in order to find out the interval on which the solution can be found. The term ln(t), which is part of the differential equation, can only be determined for t-values that are in the positive range. As a result, the range for t ought to be constrained to (0, ).

In addition to this, we need to take into account the beginning condition, which is y(4) = -3. Given that the initial condition is established at t = 4, this provides additional evidence that a solution does in fact exist for times greater than 0.

The solution to the differential equation (t2-9)y' - ln(t)y = 3t, with y(4) = -3, therefore exists on the interval [0, ]. This conclusion is drawn based on the domain of the equation as well as the initial condition that has been provided.

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Answer:

the correct answer is 16

Step-by-step explanation:

Add  ⇒ 16 to each side x2 – 8x = 9 to complete the square.