All categories

3 years ago

How to find the number of students who like football or volleyball

Mathematics

1 answer:

Akimi4 [234]3 years ago

6 0

Answer:

both can't really decide

Step-by-step explanation:

You might be interested in

the second term of a geometric sequence is 18 and the fourth term is 8 find the common ratio . And find the sum of the first 6 t

777dan777 [17]

Answer:

ratio: 2/3
sum: 73 8/9

Step-by-step explanation:

The general term of a geometric sequence is ...

an = a1·r^(n-1)

You have the 2nd and 4th terms, so ...

a2 = a1·r^(2-1) = a1·r

a4 = a1·r^(4-1) = a1·r^3

We can find r from the ratio ...

a4/a2 = (a1·r^3)/(a1·r) = r^2 = 8/18 = 4/9

Then r is ...

r = √(4/9) = 2/3 . . . . the common ratio

The first term is ...

a2 = 18 = a1·(2/3)

a1 = (3/2)·18 = 27

The sum of the first 6 terms is ...

Sn = a1·(r^n -1)/(r -1)

S6 = 27·((2/3)^6 -1)/(2/3 -1)

S6 = 27·(64/729-1)/(2/3-1) = (27)(665)/243 = 73 8/9

The sum of the first 6 terms is 73 8/9.

_____

Check on the sum

The first 6 terms are ...

27, 18, 12, 8, 5 1/3, 3 5/9

Their sum is 73 8/9, as above.

8 0

3 years ago

A rectangular poster is to contain 722 square inches of print. the margins at the top and bottom of the poster are to be 2 inche

Delvig [45]

Let
x ----------> the height of the whole poster
y ----------> the width of the whole poster

We need to minimize the area A=x*y

we know that
(x-4)*(y-2)=722
(y-2)=722/(x-4)
(y)=[722/(x-4)]+2

so
A(x)=x*y--------->A(x)=x*{[722/(x-4)]+2}
Need to minimize this function over x > 4

find the derivative------> A1 (x)
A1(x)=2*[8x²-8x-1428]/[(x-4)²]

for A1(x)=0
8x²-8x-1428=0
using a graph tool
gives x=13.87 in

(y)=[722/(x-4)]+2

y=[2x+714]/[x-4]-----> y=[2*13.87+714]/[13.87-4]-----> y=75.15 in

the answer is
the dimensions of the poster will be
the height of the whole poster is 13.87 in
the width of the whole poster is 75.15 in

6 0

3 years ago

The perimeter it a square field is 224. How long is

geniusboy [140]

Since each side of a sqare is equal and there are four sides to the square
$224 = 4x$
X being the side length.
Then you would simiply divide by 4 to isolate x
$x = 56$
A side length is 56

8 0

3 years ago

Evaluate 1/2 t + 3/8 when t=1/4

Annette [7]

Answer:

.5 or 1/2

Step-by-step explanation:

.5 x .25 = .125

3/8 = .375

.125 + .375 = .5

7 0

3 years ago

Read 2 more answers

Do these ordered pairs represent a function? (0, 1), (0, 2), (2,3), (4,8)

Aleksandr-060686 [28]

Answer:

Step-by-step explanation:

To be a function, each input can only go to one output

0 goes to 1 and 2 so it cannot be a functions

8 0

3 years ago