1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Gnoma [55]
2 years ago
10

A sequence is defined by the equation a1=50 and an=an-1+(-4) what is term a5?

Mathematics
1 answer:
ZanzabumX [31]2 years ago
6 0

Answer:

Step-by-step explanation:

an=an-1+(-4)

a2 = a1 + (-4) = 50 - 4 = 46

a3 = a2 - 4 = 46 - 4 = 42

a4 = a3 - 4 = 42 - 4 = 38

a5 = a4 - 4 = 38 - 4 = 34

You might be interested in
Suppose that one person in 10,000 people has a rare genetic disease. There is an excellent test for the disease; 98.8% of the pe
nirvana33 [79]

Answer:

A)The probability that someone who tests positive has the disease is 0.9995

B)The probability that someone who tests negative does not have the disease is 0.99999

Step-by-step explanation:

Let D be the event that a person has a disease

Let D^c be the event that a person don't have a disease

Let A be the event that a person is tested positive for that disease.

P(D|A) = Probability that someone has a disease given that he tests positive.

We are given that There is an excellent test for the disease; 98.8% of the people with the disease test positive

So, P(A|D)=probability that a person is tested positive given he has a disease = 0.988

We are also given that  one person in 10,000 people has a rare genetic disease.

So,P(D)=\frac{1}{10000}

Only 0.4% of the people who don't have it test positive.

P(A|D^c) = probability that a person is tested positive given he don't have a disease = 0.004

P(D^c)=1-\frac{1}{10000}

Formula:P(D|A)=\frac{P(A|D)P(D)}{P(A|D)P(D^c)+P(A|D^c)P(D^c)}

P(D|A)=\frac{0.988 \times \frac{1}{10000}}{0.988 \times (1-\frac{1}{10000}))+0.004 \times (1-\frac{1}{10000})}

P(D|A)=\frac{2470}{2471}=0.9995

P(D|A)=0.9995

A)The probability that someone who tests positive has the disease is 0.9995

(B)

P(D^c|A^c)=probability that someone does not have disease given that he tests negative

P(A^c|D^c)=probability that a person tests negative given that he does not have disease =1-0.004

=0.996

P(A^c|D)=probability that a person tests negative given that he has a disease =1-0.988=0.012

Formula: P(D^c|A^c)=\frac{P(A^c|D^c)P(D^c)}{P(A^c|D^c)P(D^c)+P(A^c|D)P(D)}

P(D^c|A^c)=\frac{0.996 \times (1-\frac{1}{10000})}{0.996 \times (1-\frac{1}{10000})+0.012 \times \frac{1}{1000}}

P(D^c|A^c)=0.99999

B)The probability that someone who tests negative does not have the disease is 0.99999

8 0
3 years ago
Write a polynomial function f of least degree that has a leading coefficient of 1 and the given zeros -4,-2,5. write the functio
OLga [1]

Answer:

Step-by-step explanation:

This is a third degree polynomial since we have 3 zeros.  We find these zeros by factoring the given polynomial.  The zeros of a polynomial are where the graph of the function goes through the x-axis (where y = 0).  If x = -4, the factor that gives us this value is (x + 4) = 0 and solving that for x, we get x = -4.  If x = -2, the factor that gives us that value is (x + 2) = 0 and solving that for x, we get x = -2.  Same for the 5.  The way we find the polynomial that gave us these zeros is to go backwards from the factors and FOIL them out.  That means that we need to find the product of

(x + 4)(x + 2)(x - 5).  Do the first 2 terms, then multiply in the third.

(x+4)(x+2)=x^2+2x+4x+8, which simplifies to

x^2+6x+8

No we multiply in the final factor of (x - 5):

(x^2+6x+8)(x-5)=x^3+6x^2+8x-5x^2-30x-40 which simplifies to

f(x)=x^3+x^2-22x-40

If you are aware of the method for factoring higher degree polymomials, which is to use the Rational Root Theorem and synthetic division, you will see that this factors to x = -4, -2, 5.  If you know how to use your calculator, you will find the same zeros in your solving polynomials function in your apps.

3 0
3 years ago
There were 100 pizzas sold at Romeo's Pizzeria on Tuesday. A large pizza costs $16 and a small pizza costs $11. If $1,550 worth
Blizzard [7]

Answer:

  • 10 small pizzas sold

Step-by-step explanation:

Let number of large pizzas be l and number of small be s.

<u>Then we have equations:</u>

  • l + s = 100
  • 16l + 11s = 1550

<u>From the first equation, we get l = 100 - s and substitute in the second equation:</u>

  • 16(100 - s) + 11s = 1550
  • 1600 - 16s + 11s = 1550
  • 5s = 1600 - 1550
  • 5s = 50
  • s = 10

Number of small pizzas is 10

7 0
3 years ago
X÷2=6<br><br>need help<br><br>Alguem me ajuda<br><br>necesito ayuda​
Ganezh [65]
Divide both sides by 2

X=3
8 0
2 years ago
Read 2 more answers
What is bigger 1/5 or .29
n200080 [17]
.29 is bigger.

If you convert 1/5 to a decimal (or simply solve it!) you will end up with .2 or .20
Which is obviously smaller than .29
3 0
3 years ago
Read 2 more answers
Other questions:
  • Which is the correct solution of the equation x + 5 = 1?
    10·2 answers
  • Solve the following equation: x + 5 = 42<br> a -42, 42<br> b -5, 5<br> c -37, 47<br> d -47, 37
    6·1 answer
  • PLEASE HELP!!!!!!
    15·1 answer
  • Evaluate: (4 + 6 ⋅<br> 3) + 3<br><br> 16<br><br> 66<br><br> 33<br><br> 25
    10·1 answer
  • Point R is on line segment QS. Given RS = 13 and QS = 20, determine the length of QR
    9·1 answer
  • Your 3rd quarter final will be in April. The test will be 100 points total and contain 35 questions.
    8·1 answer
  • Can someone help plz!!
    11·2 answers
  • If you translate the cubic parent function, F(x) = x3, down 2 units, what is the
    6·1 answer
  • Use substitution to solve each system of equations.<br><br> 4x – 5y = –7<br> y = 5x
    7·2 answers
  • In Exploration 5.4.2 Question 2, what conclusion can you make about the value of the derivative at
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!