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4 years ago

Could someone help me with this?

Mathematics

2 answers:

Veronika [31]4 years ago

5 0

No, you can’t afford a repair that takes 4 hours. If you have to pay $50 for a house call that leaves you with $150 and at a rate of $40 an hour that’d be another $160 you’d have to pay.

Tasya [4]4 years ago

4 0

Answer:

Step-by-step explanation:

To how did you attach a link?

You might be interested in

The decrease in the proposed 2015 budget for Cooperative State Research, Education and Extension Service is mainly due to a redu

diamong [38]

Answer:

Special Research Grants

Step-by-step explanation:

6 0

3 years ago

Write down the explicit solution for each of the following: a) x’=t–sin(t); x(0)=1

Kay [80]

Answer:

a) x=(t^2)/2+cos(t), b) x=2+3e^(-2t), c) x=(1/2)sin(2t)

Step-by-step explanation:

Let's solve by separating variables:

$x'=\frac{dx}{dt}$

a) x’=t–sin(t), x(0)=1

$dx=(t-sint)dt$

Apply integral both sides:

$\int {} \, dx=\int {(t-sint)} \, dt\\\\x=\frac{t^2}{2}+cost +k$

where k is a constant due to integration. With x(0)=1, substitute:

$1=0+cos0+k\\\\1=1+k\\k=0$

Finally:

$x=\frac{t^2}{2} +cos(t)$

b) x’+2x=4; x(0)=5

$dx=(4-2x)dt\\\\\frac{dx}{4-2x}=dt \\\\\int {\frac{dx}{4-2x}}= \int {dt}\\$

Completing the integral:

$-\frac{1}{2} \int{\frac{(-2)dx}{4-2x}}= \int {dt}$

Solving the operator:

$-\frac{1}{2}ln(4-2x)=t+k$

Using algebra, it becomes explicit:

$x=2+ke^{-2t}$

With x(0)=5, substitute:

$5=2+ke^{-2(0)}=2+k(1)\\\\k=3$

Finally:

$x=2+3e^{-2t}$

c) x’’+4x=0; x(0)=0; x’(0)=1

Let $x=e^{mt}$ be the solution for the equation, then:

$x'=me^{mt}\\x''=m^{2}e^{mt}$

Substituting these equations in c)

$m^{2}e^{mt}+4(e^{mt})=0\\\\m^{2}+4=0\\\\m^{2}=-4\\\\m=2i$

This becomes the solution m=α±βi where α=0 and β=2

$x=e^{\alpha t}[Asin\beta t+Bcos\beta t]\\\\x=e^{0}[Asin((2)t)+Bcos((2)t)]\\\\x=Asin((2)t)+Bcos((2)t)$

Where A and B are constants. With x(0)=0; x’(0)=1:

$x=Asin(2t)+Bcos(2t)\\\\x'=2Acos(2t)-2Bsin(2t)\\\\0=Asin(2(0))+Bcos(2(0))\\\\0=0+B(1)\\\\B=0\\\\1=2Acos(2(0))\\\\1=2A\\\\A=\frac{1}{2}$

Finally:

$x=\frac{1}{2} sin(2t)$

7 0

3 years ago

The Benjamin Franklin Parkway in Philadelphia, PA, runs diagonally from City Hall to the Philadelphia Museum of Art. In the scal

Ghella [55]

Answer:

6895ft

Step-by-step explanation:

Given data

The coordinates

City Hall is located at (11.4, 1.2) x1,y1= 11.4, 1.2

Museum of Art is located at (1.5, 10.8) x2,y2= 1.5, 10.8

Required:

the distance between the two points

Applying the Pythagorean theorem as

$d= \sqrt((x_2-x_1)^2+(y_2-y_1)^2)$ we can find the distance by substituting the given point coordinates

$d= \sqrt((1.5-11.4)^2+(10.8-1.2)^2)\\\\d= \sqrt((-9.9)^2+(9.6)^2)\\\\d= \sqrt(98.01+92.16)\\\\d= \sqrt190.17\\\\d=13.79$

in feet, we are told that a unit is 500 ft

then 13.79 will be 500*13.79

=6895.107ft

=6895ft

3 0

3 years ago

If f(x) is shifted 4 units to the left and 6 units up, what is the equAation of the resulting graphs

irina1246 [14]

Answer:

f= (x-4, y+6) or f= (x-4),(y+6)

Step-by-step explanation:

* when you move to the left you are subtracting from x because eventually you'll get to the negatives, if you were going to the right you would add

* going up from y, you would be adding since the further up you go the higher positive number you'll get, if you were going down it would be subtracting from y

4 0

3 years ago

5000 milliliters equals

Illusion [34]

Answer:

1.321 us liquid gallons

8 0

3 years ago

Read 2 more answers