Answer:
Thank you lol. I am so bored right now.
Step-by-step explanation:
Answer:
a₇ = 2.375
Step-by-step explanation:
There is a common ratio r between consecutive terms, that is
r =
=
=
= - 
This indicates the sequence is geometric with nth term
= a₁ 
where a₁ is the first term and r the common ratio
Here a₁ = 152 and r = -
, then
= 152
, so
a₇ = 152
= 152 ×
= 2.375
<h2>
The required poynomial equation is
.</h2>
Step-by-step explanation:
Given,
The zeros of the polynomial are - 4, - 2, 1 and 4
To find, the polynomial equation = ?
We know that,
The polynomial equation = (x - A)(x - B)(x - C)(x - D)
= (x + 4)(x + 2)(x - 1)(x - 4)
= [(x + 4)(x - 4)] [(x + 2)(x - 1)]
= (
)(
)
= (
)(
)
= 
= 
Thus, the required poynomial equation is
.
Answer:
x = 4.6439
Step-by-step explanation:
2^x =25
Take the log of each side
log 2^x = log 25
We know that log a^b = b log a
x log 2 = log 25
Divide each side by log 2
x = log 25 / log 2
x =4.643856
Rounding to 4 decimal places
x = 4.6439
Remark
Don't try and do this all at once. Break it down, otherwise you'll have layers and brackets all over the place.
Step One
Find 23/0.3
X = 23/0.3 = 76.7
Step Two
Now Divide by 20
x1 = 76.7 / 20
x1 = 3.83
Step Three
Take this result and put it over 24
x2 = x1/24
x2 = 3.83 / 24
x2 = 0.1597 <<<< Answer