MATHEMATICS COLLEGE

Consider the set S of primes less than 15. List the set S . (Input this as a list with no spaces, use commas.) How many subsets does the set have

Answers

Answer 1

Answer:

9514 1404 393

Answer:

S = {2, 3, 5, 7, 11, 13}

2^6 = 64 subsets

Step-by-step explanation:

The list of primes less than 15 is ...

S = {2, 3, 5, 7, 11, 13}

A set with n unique elements has 2^n unique subsets, including the empty set and the full set. This set of 6 elements has 2^6 = 64 subsets.

Related Questions

1) Which number line belowshows x 4?a)1 2 3 4 5 6b)0 1 2 3 4 5 6C)26O i 2 3 4D)50 1 23 4 56ABооооСD
Solve for the area of ΔABC to the nearest whole number. A) 13 cm2 B) 26 cm2 C) 53 cm2 D) 106 cm2
The parallelogram shown below has an area of 15 units^2Find the missing height.
Solve the equation for ny=nx+mN=?
Costco sells chicken for $2.25 per pound. What would be the cost of 2 4 5 lb of chicken?

A cat has 24 whiskers by its nose. A manatee has 25 times as many whiskers.

How many whiskers does a manatee have?

Answers

Answer:

600 whiskers

Step-by-step explanation:

If you multiply 24 by 25 you get 600

Il give brainliest thanks

Answers

Answer:

D) a = 14, b = 6√2

Step-by-step explanation:

The given figure is trapezoid.

When we draw perpendicular to base "a", we get h = 6

From 45, 45, 90 degrees triangle, the ratio of sides 1:1:√2

since h = 6, b = 6√2

a = 8 + 6

a= 14

Therefore, a = 14 and b = 6√2

Thank you.

6^3x=14 Show your work

Answers

Answer:

Is 3x supposed to be an exponent?

Step-by-step explanation:

Both possible answer are provided

3x as an exponent and as 6 times 3x

Write a function in terms of t that represents the situation.A population of 210,000 increases by 12.5% each year

y=

Answers

The exponential function is given by $y = 210000(1.125)^t \n$

exponential function

An exponential function is in the form:

$y=ab^x$

Where a is the initial value of y and b is the multiplier factor

Let y represent the population after t years.

Given an initial population of 210000, hence:

a = 210000

The population increases by 12.5% each year, hence:

b = 100% + 12.5% = 112.5% = 1.125

The exponential function is given by $y = 210000(1.125)^t \n$

Find out more on exponential function at: brainly.com/question/12940982

A central angle θ in a circle of radius 3 m is subtended by an arc of length 4 m. Find the measure of θ in degrees. (Round your answer to one decimal place.) θ = ° Find the measure of θ in radians. (Round your answer to two decimal places.) θ = rad

Answers

Answer:

θ = 76.4°

θ = 1.33 radians

Step-by-step explanation:

Length of an arc is given as

L = (θ/360) × 2πr

L = 4 m

θ = angle subtended at the centre of the circle by the arc in degrees = ?

r = radius of the circle = 3 m

4 = (θ/360) × 2π(3)

θ = (4×360)/6π

θ = 76.4°

L = θ r

where θ = angle subtended at the centre of the circle by the arc in radians

4 = θ × 3

θ = (4/3) = 1.33 radians

OR we could do a direct conversion

360° = 2π radians

76.4° = (76.4 × 2π)/360

θ = (4/3) radians = 1.33 radians

Hope this Helps!!!

Step-by-step explanation:

Below is an attachment containing the solution.

ASAP! GIVING BRAINLIEST! Please read the question THEN answer CORRECTLY! NO guessing. I say no guessing because people usually guess on my questions.

Answers

Answer:

D. F(x) = 2(x-3)^2 + 3

Step-by-step explanation:

We are told that the graph of G(x) = x^2, which is a parabola centered at (0, 0)

We are also told that the graph of the function F(x) resembles the graph of the function G(x) but has been shifted and stretched.

The graph of F(x) shown is facing up, so we know that it is multiplied by a positive number. This means we can eliminate A and C because they are both multiplied by -2.

Our two equations left are:

B. F(x) = 2(x+3)^2 + 3

D. F(x) = 2(x-3)^2 + 3

Well, we can see that the base of our parabola is (3, 3), so let's plug in the x value, 3, and see which equation gives us a y-value of 3.

y = 2(3+3)^2 + 3 =

2(6)^2 + 3 =

2·36 + 3 =

72 + 3 =

That one didn't give us a y value of 3.

y = 2(3-3)^2 + 3 =

2(0)^2 + 3 =

2·0 + 3 =