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3 years ago

Who else is only on this cause of Algebra Nation?

Mathematics

1 answer:

Ede4ka [16]3 years ago

5 0

Riiiight her buddy and history

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Does 1/8 ÷ 5 equal 1/4 true or false?

Llana [10]

True I think cause it’s divided by 5

6 0

3 years ago

What is the nth term of the sequence -2 -8 -18 -32 -50

andreev551 [17]

Answer:

-2n²

Step-by-step explanation:

Using the image attached:
We see that the second differences (blue ones) are all equal so we conclude that this is a quadratic sequence.
The quadratic sequence has the form:
$T_{n} = an^{2} +bn +c$

To find the value of a we just divide second difference ( -4 ) by 2:

$a = \frac{-4}{2}= -2$

Now we have:

$T_{n}= -2n^{2} +bn+c$

Substitute $n_{1}$ and $n_{2}$ into the equation above:

$T_{1} = -2(1)^{2} +b(1) +c$

$T_{2} = -2(2)^{2} +b(2)+c$

Since $T_{1}$ = -2 and $T_{2}$ = -8 , after simplification we have:

$b +c =0$
$2b+c=0$

The solution of this system is:

b=0, c =0

The general term is :

$T_{n} = -2n^{2}$

6 0

2 years ago

The sum of three consecutive even numbers is 114 what's the smallest of these numbers

laila [671]

Answer:

Step-by-step explanation:

consecutive even numbers are 2,4, 6...

Let the smallest of the 3 numbers be x.

2nd number= x+2

3rd number

=x+2+2

= x+4

sum of the 3 numbers= x +x+2 +x+4

114= 3x+6

3x= 114 -6 (-3 on both sides)

3x= 108 (simplify)

x= 108 ÷3

x= 36

Thus, the smallest number is 36.

Let's check!

36+38+40= 114 ✓

8 0

3 years ago

What is the sum of the geometric series i =i

tatiyna

Answer: is B

Because:

4 0

3 years ago

A person on the top of a tall building looks through his binoculars at his friend that is 300 ft away from the building on the g

Gnesinka [82]

In this instance the distance will be the hypotenuse of a right angle triangle.
x = 300/sin30 = 600

They are 600 ft away from each other

4 0

4 years ago