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2 years ago

Write a function rule that represents each sentence c is 8 more than half of n

Mathematics

2 answers:

Olegator [25]2 years ago

6 0

C= n/2+ 8 this is your answer

NemiM [27]2 years ago

5 0

Answer:

Or your answer is c=8+n/2

Step-by-step explanation:

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The cost of parking a motor home in a state park includes a one time fee of $180, plus a daily rate of $55 per day. Anthony prep

HACTEHA [7]

Answer:

Anthony paid for 7 days of parking.

Step-by-step explanation:

From the information given, the cost of parking a motor home in a state park would be equal to the one time fee plus the result of multiplying the daily rate for the number of days:

c=180+55x, where c is the cost of parking the motor home and x is the number of days.

Now, you can replace c with 565 that is the amount Anthony prepaid and you can solve for x to be able to find the number of days he paid for:

565=180+55x

565-180=55x

385=55x

x=385/55

x=7

According to this, Anthony paid for 7 days of parking.

7 0

2 years ago

In a small town, the use of coal (W in tons/per

zimovet [89]

Answer:

i)W = 2500 / T

ii) W = 500 Tons

iii) grad W(10°) = - 25î

iv) The formulation is not practical

Step-by-step explanation:

i) Write an equation describing the use of coal

As use of coal is inversely proportional to the average monthly temperature

if W is use of coal in tons/per month then

W(t) = k / T where k is a constant of proportionality and T is the average temperature in degrees. We have to determine k from given conditions

k = ?? we know that when T = 25° W = 100 tons the by subtitution

W = k/T 100 = k /25 k = 2500 Tons*degree

Then final equation is:

W = 2500 / T

ii) Find the amount of coal when T = 5 degrees

W = 2500 / 5

W = 500 Tons

iii)

The inverse proportionality implies that W will decrease as T increase.

The vector gradient of W function is:

grad W = DW(t)/dt î

grad W = - 2500/T² î

Wich agrees with the fact that W is decreasing.

And when T = 100°

grad W(10°) = - 2500/ 100 î ⇒ grad W(10°) = - 25î

iv) When T = 0 The quantity of coal tends to infinite and the previous formulation is not practical

5 0

2 years ago

A square base a side length of x+3. What is its area

zepelin [54]

Well it would be (x+3)(x+3)
using the FOIL method you end up with:
x^2 + 6x + 9

:D

6 0

2 years ago

Find the solution of the problem (1 3. (2 cos x - y sin x)dx + (cos x + sin y)dy=0.

lakkis [162]

Answer:

$2*sin(x)+y*cos(x)-cos(y)=C_1$

Step-by-step explanation:

Let:

$P(x,y)=2*cos(x)-y*sin(x)$

$Q(x,y)=cos(x)+sin(y)$

This is an exact differential equation because:

$\frac{\partial P(x,y)}{\partial y} =-sin(x)$

$\frac{\partial Q(x,y)}{\partial x}=-sin(x)$

With this in mind let's define f(x,y) such that:

$\frac{\partial f(x,y)}{\partial x}=P(x,y)$

and

$\frac{\partial f(x,y)}{\partial y}=Q(x,y)$

So, the solution will be given by f(x,y)=C1, C1=arbitrary constant

Now, integrate $\frac{\partial f(x,y)}{\partial x}$ with respect to x in order to find f(x,y)

$f(x,y)=\int\ 2*cos(x)-y*sin(x)\, dx =2*sin(x)+y*cos(x)+g(y)$

where g(y) is an arbitrary function of y

Let's differentiate f(x,y) with respect to y in order to find g(y):

$\frac{\partial f(x,y)}{\partial y}=\frac{\partial }{\partial y} (2*sin(x)+y*cos(x)+g(y))=cos(x)+\frac{dg(y)}{dy}$

Now, let's replace the previous result into $\frac{\partial f(x,y)}{\partial y}=Q(x,y)$ :

$cos(x)+\frac{dg(y)}{dy}=cos(x)+sin(y)$

Solving for $\frac{dg(y)}{dy}$

$\frac{dg(y)}{dy}=sin(y)$

Integrating both sides with respect to y:

$g(y)=\int\ sin(y) \, dy =-cos(y)$

Replacing this result into f(x,y)

$f(x,y)=2*sin(x)+y*cos(x)-cos(y)$

Finally the solution is f(x,y)=C1 :

$2*sin(x)+y*cos(x)-cos(y)=C_1$

7 0

2 years ago

A piece of rope 27m long is cut into two pieces so that one piece is four-fifths as long as the other. Find the length of each p

nata0808 [166]

Answer:

x+.8x=27

1.8x=27

x=15

4/5(15)=12

So 15 and 12

Step-by-step explanation:

8 0

2 years ago