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Virty [35]
3 years ago
5

!!!! URGENT evaluate the geometric series below !

Mathematics
1 answer:
True [87]3 years ago
6 0

Answer:

C

Step-by-step explanation:

S(6)= -2(1-(-3)^6)/1-(-3)

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The international cricket team is going to stadium to play the T20 cricket game. A coordinate grid is superimposed on a highway
marysya [2.9K]

Answer:

The coordinate of the rest stop is: (5,2.5)

The distance between the hotel and the stadium is 32 miles

Step-by-step explanation:

Given

(x_1,y_1) = (3,4) --- Team hotel

(x_2,y_2) = (7,1) --- Stadium

Solving (a): The coordinates of the rest stop

The rest stop is at half way;

So, the coordinate is:

(x,y) = \frac{1}{2}(x_1+x_2,y_1+y_2)

This gives:

(x,y) = \frac{1}{2}(3+7,4+1)

(x,y) = \frac{1}{2}(10,5)

Open bracket

(x,y) = (5,2.5)

Solving (b): Distance between the hotel and the stadium

We have:

(x_1,y_1) = (3,4) --- Team hotel

(x_2,y_2) = (7,1) --- Stadium

The distance (d) is:

d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}

So, we have:

d = \sqrt{(3 - 7)^2 + (4 - 1)^2}

d = \sqrt{(-4)^2 + 3^2}

d = \sqrt{16 + 9}

d = \sqrt{25}

d =5

From the question, we have:

1\ unit = 6.4\ miles

So:

d =5 * 6.4\ miles

d =32\ miles

3 0
2 years ago
A sporting goods store sold 2.5 times as many footballs as basketballs last year. Which statement is true? The ratio of football
Mrac [35]
Footballs : basketballs = 2.5 : 1
(x 2)
footballs : basketballs = 5 : 2
⇒ basketballs : footballs = 2 : 5

Answer: <span>The ratio of basketballs to footballs is 5 : 2.</span>
7 0
2 years ago
Solve the following initial-value problem:<br><br> (ex+y)dx+(3+x+yey)dy=0, y(0)=1<br><br> 0=
alex41 [277]

Answer:

e^x+xy+3y+(y-1)e^y=4

Step-by-step explanation:

Given that

(e^x+y)dx+(3+x+ye^y)dy=0

Here

M=e^x+y

N=3+x+ye^y

We know that

M dx + N dy=0 will be exact if

\frac{\partial M}{\partial y}=\frac{\partial N}{\partial x}

So

\frac{\partial M}{\partial y}=1

\frac{\partial N}{\partial x}=1

it means that this is a exact equation.

\int d\left(e^x+xy+3y+(y-1)e^y\right)=0

Noe by integrating above equation

e^x+xy+3y+(y-1)e^y=C

Given that

x= 0 then y= 1

e^0+0+3+(1-1)e^1=C

C=4

So the our final equation will be

e^x+xy+3y+(y-1)e^y=4

3 0
3 years ago
At Wallys school 30% of the student are in 8th grade if there are 470 students total find the number of 8th grade students
kiruha [24]
30%*470=141 (So the number of students in 8 grade is 141)

4 0
3 years ago
Read 2 more answers
Which formula should be used to find the circumference of a circle?
mojhsa [17]

Answer:

C=pid

Step-by-step explanation:

8 0
3 years ago
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