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EleoNora [17]
3 years ago
15

For a fund-raiser, Anthony earns $5 for the first mile he runs, an additional $7 for the second mile, an additional $9 for the t

hird mile, and so on.The expression represents the total amount of money Anthony earns if he runs 10 miles. How much does Anthony earn if he runs 10 miles?
Mathematics
1 answer:
mel-nik [20]3 years ago
8 0

Answer:

He will earn $140, my bad miss calculated...

Step-by-step explanation:

Its 140....

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Consider the initial value problem:
Inessa [10]

Answer:

\left \{ {{u'=v} \atop {v'=5v-6u-5\sin(2t)}} \right. \\u(0)=-5;u'(0)=2

Step-by-step explanation:

The given initial value problem is;

y''-5y'+6y=-5\sin(2t)---(1)\\y(0)=-5,y'(0)=2

Let

u(t)=y(t)----(2)\\v(t)=y'(t)----(3)

Differentiating both sides of equation (1) with respect to t, we obtain:

u'(t)=y'(t)---(4)\\ \\\implies u'(t)=v(t)---(5)

Differentiating both sides of equation (2) with respect to t gives:

v'(t)=y''(t)----(6)

From equation (1),

y''=5y'-6y-5\sin(2t)\\y''=5v(t)-6u(t)-5\sin(2t)\\\implies v'(t)=5v(t)-6u(t)-5\sin(2t)----(7)

Putting t=0 into equation (2) yields

u(0)=y(0)\\\implies u(0)=-5

Also putting t=0 into equation (3)

u'(0)=y'(0)\\u'(0)=2

The system of first order equations is:

\left \{ {{u'=v} \atop {v'=5v-6u-5\sin(2t)}} \right. \\u(0)=-5;u'(0)=2

3 0
3 years ago
What does the perpendicular bisector of a line mean?
ankoles [38]
This bisector created a 90 degree angle
7 0
2 years ago
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What is the answer NEED HELP ASAP<br><br> b-14=9 WHO ever answers gets 10 points
Naddik [55]

Answer:

b-14 = 9

b = 23

Step-by-step explanation:

Add 14 to 9 to get b alone.

4 0
2 years ago
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I NEED HELP ASAP!!!!!!!!​
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Answer:

Bruh what is this

5 0
3 years ago
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Please help me I need help please​
MakcuM [25]

Answer:

p = 4

Step-by-step explanation:

Given equation:

x^2+(p-3)y^2-4x+6y-16=0

<u>Standard equation of a circle:</u>

(x-a)^2+(y-b)^2=r^2

(where (a,b) is the centre of the circle, and r is the radius)

If you expand this equation, you will see that the coefficient of y^2 is always one.

Therefore, p-3=1

\implies p=1+3=4

<u>Additional information</u>

To rewrite the given equation in the standard form:

\implies x^2+y^2-4x+6y-16=0

\implies x^2-4x+y^2+6y=16

\implies (x-2)^2-4+(y+3)^2-9=16

\implies (x-2)^2+(y+3)^2=16+4+9

\implies (x-2)^2+(y+3)^2=29

So this is a circle with centre (2, -3) and radius √29

3 0
2 years ago
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