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Alinara [238K]
3 years ago
9

What are the 1st 5 terms in this sequance? t_n=2t_(n-1)+t_(n-2) where t1=3, t2=4, and n is a natural number greater than or equa

l to 3.
Mathematics
1 answer:
Zepler [3.9K]3 years ago
3 0
The first two terms are given, t_1=3 and t_2=4.

The third term, according to the formula, is

t_3=2\times4+3=11

and the next two terms are

t_4=2\times11+4=26
t_5=2\times26+11=63
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Match each description with the expression containing terms that model it
Paul [167]

Answer:

?

Step-by-step explanation:

8 0
3 years ago
Imagine that you have developed a genetic test to detect the dominant allele (A) that cause a rare genetic condition. As with mo
s344n2d4d5 [400]

Answer:

Correct option: (B) 1.495%.

Step-by-step explanation:

Denote the events as follows:

<em>X</em> = the test is positive.

<em>A</em> = a person with the dominant allele

The information given are:

P(X|A)=1\\P (X|A^{c})=0.005\\P(A)=0.01

According to the law of total probability the probability of an event <em>A, </em>conditional upon the occurrence of another event <em>B</em> is:

P(A)=P(A|B)P(B)+P(A|B^{c})P(B^{c})

Use this law to compute the probability of person having a positive result as follows:

 P(X)=P(X|A)P(A)+P(X|A^{c})P(A^{c})\\=(1\times0.01)+(0.005\times(1-0.01))\\=0.01+0.00495\\=0.01495

The percentage of positive result is: 0.01495 × 100 = 1.495%.

Thus, the percentage of the population will give a positive test is 1.495%.

4 0
3 years ago
Can someone help answer at least one? :) ty
Vika [28.1K]

Answer:

Step-by-step explanation:

a). Ratio of OP and RT = \frac{OP}{RT}

                                     = \frac{12}{3.6}

                                     = \frac{10}{3}

b). Since ΔOPQ ~ ΔRTS, their corresponding sides will be proportional.

    \frac{OQ}{RS}=\frac{OP}{RT}

    \frac{OQ}{4.5}=\frac{10}{3}

    OQ = \frac{10\times 4.5}{3}

    OQ = 15 cm

c). m∠P = m∠T = 60°

d). m∠Q = m∠S

    By applying angle sum theorem in ΔRST,

    m∠R + m∠S + m∠T = 180°

    26° + m∠S + 60° = 180°

    m∠S = 180° - 86°

             = 94°

    Therefore, m∠Q = m∠S = 94°

3 0
3 years ago
19) *
RUDIKE [14]
The correct answer is 18 sides.
7 0
3 years ago
Is it possible for two different numbers, when squared, to give the same result?
lawyer [7]

Actually, yes, it is possible for two different numbers to give the same result when squared.

In my last answer, I wrote that it wasn't, but I realize now where my mistake was made.

When a number like positive 4 is squared, the answer is 16. When a number like negative 4 is squared, the answer is also 16. I think that the only time when two different squared numbers have the same result is when they are the same number but have a different positive/negative sign.

I hope this helps.

7 0
3 years ago
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