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never [62]
2 years ago
8

A Sunday newspaper lists the 10 used car prices for a foreign compact, with age x measured in years and selling price y measured

in thousands of dollars.

Mathematics
1 answer:
Masteriza [31]2 years ago
7 0

Question:

A Sunday newspaper lists the 10 used car prices for a foreign compact, with age x measured in years and selling price y measured in thousands of dollars. A Sunday newspaper lists the 10 used car prices for a foreign compact, with age x measured in years and selling price y measured in thousands of dollars.

Picture of data can be found in the picture attached.

Answer:

Slope = -1.71

Intercept = 22.05

Step-by-step explanation:

Equation of a line usually takes the general form :

ŷ = mx + c

Where :

m = slope or gradient

c = intercept

Inputting the data into a linear regression calculator ;

The output is : ŷ = -1.70872X + 22.04985

Comparing the output to the general formula;

The slope (m):

m = -1.70872 = -1.71(2 decimal places).

The intercept (c):

c = 22.04985 = 22.05(2 decimal places).

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Tonyas dog walking service charges a flat rate of $20 per month, plus $3 per mile that each dog is walked. beth does not charge
andreev551 [17]

Answer:

Step-by-step explanation:

given that tonya charges 20$ monthly fee and 3$ per mile of her dog-walking service.

and beth does not charge any monthly fee but charges 5$ per mile of the dog walked in.

let x be the number of miles dog has walked in a month.

the amount tonya will charge on x miles = fixed monthly fee + number of miles * charge per mile = 20+3x

and the amount beth will charge on x miles = 0+ 5*x = 5x.

we are asked to find the x-value for which beth chargeable amount = tonya chargeable amount

that is 5x = 20+3x

5x-2x = 20

2x=20

x=\frac{20}{2}   = 10

hence number of miles for which tonya and beth will charge the same amount is 10.

7 0
2 years ago
Consider the vibrating system described by the initial value problem. (A computer algebra system is recommended.) u'' + u = 8 co
krek1111 [17]

Answer:

  u(t)  = -(3 + w^2 ) cos t /(1- w^2)cos t + 7 sin t + 8 cos wt /(1- w^2)

Step-by-step explanation:

The characteristic equation is     k²+1 = 0,⇒k²=−1,⇒ k=±i.

the roots are k = i or -i

the solution has the form  u(x)=C₁cosx+C₂sinx.

Using undetermined coefficient method

Uc(t) = Pcos wt  + Qsin wt

Uc’(t) = -Pwsin wt  + Qwcos wt

Uc’’(t) = -Pw^2cos wt  - Qw^2sin wt

U’’ + u = 8cos wt

-Pw^2cos wt  - Qw^2sin wt + Pcos wt  + Qsin wt = 8cos wt

(-Pw^2 + P) cos wt   + (- Qw^2 + Q ) sin wt = 8cos wt

-Pw^2 + P = 8  which implies P= 8  /(1- w^2)

- Qw^2 + Q = 8 which implies Q = 0

Uc(t) = Pcos wt  + Qsin wt = 8 cos wt /(1- w^2)

U(t) = uh(t ) + Uc(t)

     = C1cos t + c2 sin t + 8 cos wt /(1- w^2)

Initial value problem

U(0) = C1cos(0) + c2 sin (0) + 8 cos (0) /(1- w^2)

C1 + 8 /(1- w^2) = 5

C1 = 5 -8 /(1- w^2) = -(3 + w^2 ) /(1- w^2)

U’(t) = -C1 sin t + c2 cos t - 8 w sin wt /(1- w^2)

U’(0) = -C1 sin (0) + c2 cos (0) - 8 w sin (0) /(1- w^2) = 7

 c2 = 7

  u(t)  = -(3 + w^2 ) cos t /(1- w^2)cos t + 7 sin t + 8 cos wt /(1- w^2)

   

4 0
2 years ago
Read 2 more answers
4(3+1/4c-1/2d) apply the distributive property to create a equivalent expression
Romashka-Z-Leto [24]
Answer iiiiiiis -2d+c+12

5 0
2 years ago
Read 2 more answers
In a meeting, there are five presenters: Lily, Catherine, Ted, Edward, and Bianca. Bianca must present after Edward but not imme
Marta_Voda [28]

Answer:

Lily would present after Edward

Step-by-step explanation:

Catherine must present after Ted. Therefore we have Ted, Catherine.

There must be one presenter between Bianca and Catherine, therefore we have: Bianca, x, Catherine. x is the name of the presenter between  Bianca and Catherine. Since Ted presents immediately before Catherine, x = Ted. This means we have Bianca, Ted, Catherine.

There must be at least two other people must present after Edward and before Ted. This means we have Edward, y, Bianca, Ted, Catherine. y is the name of the presenter between Edward and Bianca.. Since we have only five presenters, the only presenter remaining is Lily.

Therefore the presenters are arranged as:

Edward, Lily, Bianca, Ted, Catherine.

Lily is the second to present. Lily would present immediately after Edward and before Bianca

8 0
2 years ago
The energy expended by a bird per day, E, depends on the time spent foraging for food per day, F hours. Foraging for a shorter t
Veronika [31]

Answer:

Therefore F=2.387 hours gives a minimum value of energy expenditure E.

Step-by-step explanation:

Given that,

The energy expended by a bird per day

E=0.25 F+\frac{1.7}{F^2}

Differentiating with respect to F

E'=0.25 -\frac{3.4}{F^3}

Again differentiating with respect to F

E''=\frac{10.2}{F^4}

Now set E'=0

0.25 -\frac{3.4}{F^3}=0

\Rightarrow \frac{3.4}{F^3}=0.25

\Rightarrow F^3=\frac{3.4}{0.25}

\Rightarrow F=2.387

Now E''|_{F=2.387}=\frac{10.2}{2.387^4}>0

Since, E''>0 at F=2.387, So at F=2.387 , E has minimum value.

Therefore F=2.387 hours that minimizes energy expenditure.

7 0
2 years ago
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