Find the following sets

Maru [420]

The answer is : Sn = S(n-1) + n

7 0

3 years ago

Please help me pleeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaasssssssssssssssssssssss

balandron [24]

B is the correct answer

4 0

2 years ago

4. If N is the set of natural numbers that are factors of 16, choose the selection below that correctly shows

Lostsunrise [7]

The set of factors of 16 is={1,2,4,8,16}.So option(1) is correct

Natural numbers are those that start with 1 and go on indefinitely. In other words, natural numbers are counting numbers that do not include 0 or any negative or fractional numbers. Natural numbers are numbers like 1, 6, 89, 345, and so on.

What exactly are the factors?

A factor is a number that divides another number with no remainder. In other words, if multiplying two whole numbers results in a product, the multiplied numbers are factors of the product because the product is divisible by them. There are two methods for locating factors: multiplication and division.

Given in the question that, N is the set of natural numbers that are factors of 16

factors of 16 are = 1,2,4,8,16

so the set of factors of 16 is={1,2,4,8,16}

To learn more about natural numbers visit

brainly.com/question/17429689

#SPJ1

3 0

10 months ago

Rowan has $50 in a savings jar and is putting in $5 every week. Jonah has $10 in his own jar and is putting in $15 every week. E

Harrizon [31]

Answer:

(3) Jonah's graph has a steeper slope than Rowan's

Step-by-step explanation:

First we are going to write the equations for the amount of money that each one save

y = a+bx

Where y: Amount of money in the jar

a: Initial saving

b: Money saved every week ( graph's slope )

x: Number of week

Then, for Rowan

y = 50 + 5x

and for Jonah

y = 10 + 15x

Initially Rowan's graph lies above Jonah's graph but this situation change with time.

It is always true that Jonah's graph has a steeper slope than Rowan's, because for Rowan's graph the slope is 5 and for Jonah's graph the slope is 15

Then the answer is:

(3) Jonah's graph has a steeper slope than Rowan's

5 0

3 years ago

Given cosα = −3/5, 180 < α < 270, and sinβ = 12/13, 90 < β < 180

torisob [31]

I got

$- \frac{6 3}{65}$

What we know

cos a=-3/5.

sin b=12/13

Angle A interval are between 180 and 270 or third quadrant

Angle B quadrant is between 90 and 180 or second quadrant.

What we need to find

Cos(b)

Cos(a)

What we are going to apply

Sum and Difference Formulas

Basics Sine and Cosines Identies.

1. Let write out the cos(a-b) formula.

$\cos(a - b) = \cos(a) \cos(b) + \sin(a) \sin(b)$

2. Use the interval it gave us.

According to the given, Angle B must between in second quadrant.

Since sin is opposite/hypotenuse and we are given a sin b=12/13. We. are going to set up an equation using the pythagorean theorem.

.

${12}^{2} + {y}^{2} = {13}^{2}$

$144 + {y}^{2} = 169$

$25 = {y}^{2}$

$y = 5$

so our adjacent side is 5.

Cosine is adjacent/hypotenuse so our cos b=5/13.

Using the interval it gave us, Angle a must be in the third quadrant. Since cos is adjacent/hypotenuse and we are given cos a=-3/5. We are going to set up an equation using pythagorean theorem,

.

$( - 3) {}^{2} + {x}^{2} = {5}^{2}$