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3 years ago

Write the first 4 terms for f (1) = 3, f (n) = [f(n-1)]

1 answer:

4 0

$f(1)=3\\\\f(n)=[f(n-1)]\\\\f(2)=[f(2-1)]=[f(1)]=[3]=3\\\\f(3)=[f(3-1)]=[f(2)]=[3]=3\\\\f(4)=[f(4-1)]=[f(3)]=[3]=3\\\\f(5)=[f(5-1)]=[f(4)]=[3]=3$

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Harper has $14 in her piggy bank. Her mom pays her $12 for chores. How much does Harper now have in the piggy bank?

vovikov84 [41]

Answer:

Step-by-step explanation:

14+12=26

1+1=2

4+2=6

7 0

3 years ago

Read 2 more answers

The sum of two number is 27. One number is 3more than the other number. Write and solve a system of equations to find the two nu

Sladkaya [172]

Answer:

One number is 15 and 3 less than that is 12 so that is your other number

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4 years ago

WILL GIVE U BRAINLIEST ♡ Rationalize the denominator of fraction with numerator square root of -36 divided by (2-3i)+(3+2i)

Dmitriy789 [7]

Answer:

$- \frac{3}{13} + \frac{15i}{13}$

Step-by-step explanation:

$\frac{ \sqrt{ - 36} }{(2 - 3i) + (3 + 2i)}$

Set up equation

Step 1: Simplify

$\frac{6i}{5 - i}$

Step 2:Multiply by conjugate

$\frac{6i}{5 - i} \times \frac{5 + i}{5 + i}$

Step 3:Simplify

$\frac{30i + 6 {i}^{2} }{ {i}^{2} - 5 {}^{2} }$

We can reduce this and we must make the imaginary number and real number serpate equations.

$- \frac{6}{26} + \frac{30i}{26}$

Reduce each by 2

$- \frac{3}{13} + \frac{15i}{13}$

7 0

3 years ago

2. Writing a set in Roster Method means you list the elements of sets inside the braces separated by commas; while writing the s

ra1l [238]

The sets can either be presented in set builder form or roaster form. The

given sets presented in the required form are;

a. The set B is the set of days in the week that starts with letter S

Therefore;

The elements of B are; Saturday, Sunday

In roster method, we have; B = {Saturday, Sunday}

In set builder notation, we have; B = {x | x is a days in the week that starts with letter S}

b. C is the set of letters in PHILIPPINES

In roster form, we have; C = {P, H, I, L, I, P, P, I, N, E, S}

In set builder notation, we have; C = {Letters in the word PHILLIPINES}

Learn more here:

brainly.com/question/13642904

6 0

2 years ago

You have been asked to design a rectangular box with a square base and an open top. The volume of the box must be 500cm3. Determ

babymother [125]

Answer:

x = 10 cm, y = 5 cm gives a minimum area of 300 cm^2.

Step-by-step explanation:

V= x^2y = 500

Surface area A = x^2 + 4xy.

From the first equation y = 500/x^2

So substituting for y in the equation for the surface area:

A = x^2 + 4x * 500/x^2

A = x^2 + 2000/x

Finding the derivative:

dA/dx = 2x - 2000x^-2

dA/dx = 2x - 2000/x^2

This = 0 for a minimum/maximum value of A, so

2x - 2000/x^2 = 0

2x^3 - 2000 = 0

x^3 = 2000/ 2 = 1000

x = 10

Second derivative is 2 + 4000/x^3

when x = 10 this is positive so x = 10 gives a minimum value of A.

So y = 500/x^2

= 500/100

= 5.

6 0

3 years ago