Answer:
Value of f(-10) is 1100
Step-by-step explanation:
Given that f(x) = x² - x³
Here we need to find f(-10).
f(-10) = (-10)² - (-10)³
f(-10) = 100 - (-1000)
f(-10) = 100 + 1000
f(-10) = 1100
Value of f(-10) is 1100
1 centiliter is .01 of a liter.
6.02 decaliter is 60.2 liters.
6.02 decaliter is also 6020 centiliters
So 6.02 decaliter is 6020 centiliters
A+bi is a complex number
(3+2i)(a+bi)=17+7i
remember
i²=-1
so
expand and solve
a is the ral part
bi is the imaginary part
ok so
if Ac+Be=dc+fe where c=c and e=e then A=d and B=f
(3+2i)(a+bi)=17+7i
expand/distribute/FOIL
3a+2ai+3bi+2bi²=17+7i
3a+2bi+2ai+2bi=17+7i
3a-2b+2ai+2bi=17+7i
real parts are 3a-2b
imaginary is 2ai+2bi
so
3a-2b=17 and
2ai+2bi=7i
we need to solve
2nd equation, divide both sides by i
2a+2b=7
multiply by -1 and add to other equation
3a+2b=17
<u>-2a-2b=-7 +</u>
1a+0b=10
a=10
subsitue
2a+2b=7
2(10)+2b=7
20+2b=7
2b=-13
b=-13/2
the complex number is
10-(13/2)i or
10-6.5i
Answer:
Not equivalent
Step-by-step explanation:
5:3
15:12 simplified = 5:4
Answer:
the 30th term is 239
Step-by-step explanation:
The computation of the 30th term is as follows:
As we know that
a_n = a_1 + (n-1)d
where
a_1 is the first number is the sequence
n = the term
And, d = common difference
Now based on this, the 30th term is
= 152 + (30 - 1) × 3
= 152 + 29 × 3
= 152 + 87
= 239
Hence, the 30th term is 239
