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ANEK [815]
3 years ago
15

Th Write an explicit formula for An, the nth term of the sequence 15, 23, 31, ....

Mathematics
1 answer:
Pani-rosa [81]3 years ago
4 0

Answer:

a₁ = 15 and common difference = 8 so the formula is:

aₙ = 15 + (n - 1) * 8

= 8n + 7

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What is the conjugate? √x + 2√b
Llana [10]
The correct answer is:  " √x  −  <span>2√b " .
</span>_________________________________________________________

       The "conjugate" of  " √x  + 2√b "  is:  " √x  −  2√b " .
_________________________________________________________

Explanation:
_________________________________________________________
      In an expression with 2 (TWO) terms;  that is, in a "binomial expression", 
the "conjugate" of that expression refers to that very expression — with the "sign" in between those two terms—"reverse" (e.g. "minus" becomes "plus" ; or, "plus" becomes "minus" .) .
_________________________________________________________ 

      →  So:  We are given:  " <span>√x + 2√b " .
</span>
      →  Note that this is a "binomial expression" ;

      →  that is, there are 2 (TWO) terms:  " <span>√x " ; and:  " 2√b " .
_________________________________________________________

To find the "conjugate" of the given binomial expression:

     </span>→  " <span>√x + 2√b "  ; 

     </span>→  We simply change the "+" {plus sign} to a "<span>−"  {minus sign} ;  and rewrite:
___________________________________________________________

     </span>→  " √x − 2√b "  ; 

     →  which is the "conjugate" ; and is the correct answer:
___________________________________________________________
→  " √x − 2√b " ;   is the "conjugate" of the expression:  " <span>√x + 2√b " . 
___________________________________________________________
     
</span>→  {that is:  " √x − 2√b " ;  is the conjugate.}.
___________________________________________________________
7 0
3 years ago
If you start with 60% sunny days and after 200 days it decrease by 50%. How many days of the 200 were sunny days
qaws [65]
120 sunny days if there were 60% of em in 200 days
4 0
3 years ago
Plz help I dont understand this at all
ANEK [815]
1) the sum of all three angles in a triangle is always 180, so number 5 is w=80

2)I assume they mean x. since the x angle and the 70 angle are a linear pair they must add to 180, so x has to be 110

3) the top 60 angle makes a vertical angles with the angle right below it. since vertical angles are congruent, the angle below has to be 60 also. again all 3 must add to 180 so o is also 60

4) these are all linear pairs. every angle shown has to be 90
3 0
3 years ago
Read 2 more answers
According to the manufacturer of the candy Skittles, 20% of the candy produced are red. If we take a random sample of 100 bags o
igomit [66]

Answer:

Probability that the proportion in our sample of red candies will be less than 20% is 0.5 .

Step-by-step explanation:

We are given that 20% of the candy produced are red. A random sample of 100 bags of Skittles is taken.

The distribution we can use here is;

               \frac{\hat p - p}{\sqrt{\frac{\hat p (1- \hat p)}{n} } } ~ N(0,1)

where, p = 0.20 and n = 100

Let \hat p = proportion of red candies in our sample

So, P(\hat p < 0.20) = P(\frac{\hat p - p}{\sqrt{\frac{\hat p (1- \hat p)}{n} } } < \frac{0.20 - 0.20}{\sqrt{\frac{0.2 (1- 0.2)}{100} } } ) = P(Z < 0) = 0.5

Therefore, probability that the proportion in our sample of red candies will be less than 20% is 0.5 .

5 0
3 years ago
Simplify (4xy^2)^3(xy)^5<br><br>A. 64x^8y^11<br>B. 64x^15y^30<br>C. 12x^2y^11<br>D. 12x^8y^11<br>​
saveliy_v [14]
I’ll help u in 5 years
8 0
3 years ago
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