Answer:
x = 5
Step-by-step explanation:
10 * 7 = x * 14
10 * 7 = 70
14 * x = 14x
14x = 70
divide each side by 14
14x / 14 = x
70 / 14 = 5
we're left with x = 5
Answer:
<h2>40,000 populations</h2>
Step-by-step explanation:
Initial population in 2018 = 25,000
Annual growth rate (in %) = 4%
Yearly Increment in population = 4% of 25000
= 4/100 * 25000
= 250*4
= 1000
This means that the population increases by 1000 on yearly basis.
To determine what the population will be in 2033, we need to first know the amount of years we have between 2018 and 2033.
Amount of years we have between 2018 and 2033 = 2033-2018
= 15 years
<em>After 15 years, the population will have increased by 15*1000 i.e 15,000 more than the initial population.</em>
<em />
<em>Hence the population in 2033 will be Initial population + Increment after 15years = 25,000+15000 = 40,000 population.</em>
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Answer:
B. X > 0
Step-by-step explanation:
It is X > 0, because the circle is empty, which means that X cannot be 0, which allows s to eliminate C and D as an answer. The arrow shows that X is greater than 0. Therefore, you can eliminate A as an answer, leaving us with B. X > 0
Answer:
Therefore the given vectors are orthogonal for b = 0,±3.
Step-by-step explanation:
If 
and 
are two vectors orthogonal, then the dot product of and will be zero.
i.e 
If 
and 
Given two vectors are (-18,b,9) and (b,b²,b)
Let
and
Therefore,
=(-18).b+b.b²+9.b
= -18b+b³+9b
= b³-9b
Since 
and 
are orthogonal. Then = 0.
Therefore,
b³-9b= 0
⇒b(b²-9)=0
⇒b =0 or b²=9
⇒b=0 or b =±3
Therefore the given vectors are orthogonal for b = 0,±3.
