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pashok25 [27]
2 years ago
8

Find a ∩ b if a = {2, 5, 8, 11, 14} and b = {1, 3, 5, 7}. {1, 2, 3, 5, 7, 8, 11, 14} {5}

Mathematics
1 answer:
Maslowich2 years ago
8 0

The intersection of given set a and b is a∩b = {5}.

According to the given question.

We have two sets a and b.

a = {2, 5, 8, 11, 14}

And, b = {1, 3, 5, 7}

As, we know that "the intersection of two sets A and B is the set of all those elements which are common to both A and B. Symbolically, we can represent the intersection of A and B as A ∩ B".

Since, only the element which is common to set a and set b is 5.

Thereofore, the intersection of given set a and b is given by

a∩b = {5}

Find out more information about intersection of sets here:

brainly.com/question/14679547

#SPJ4

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Ben and Josh went to the roof of their 40-foot tall high school to throw their math books off the edge.
krok68 [10]

Answer:

  • Josh's book lands first
  • Ben's lands about 0.648 seconds later

Step-by-step explanation:

Using the given equation for v=60 and s=40, the height of Ben's book is ...

  h(t) = -16t² +60t +40

We want to find t when h(t) = 0, so we're looking for the solution to ....

  0 = -16t² +60t +40

Using the quadratic formula, we find the positive value of t to be ...

  t = (-60 -√(60² -4(-16)(40)))/(2(-16)) = (15 +√385)/8 ≈ 4.3277

__

Similarly, the height of Josh's book is ...

  0 = -16t² +48t +40

  t = (-48 -√(48² -4(-16)(40)))/(2(-16)) = (12 +√304)/8 ≈ 3.6794

__

The time before Josh's book lands is shorter by ...

  4.3277 -3.6794 ≈ 0.6482 . . . . . seconds

Josh's book reaches the ground first, by about 0.648 seconds.

3 0
3 years ago
20 POINTS AND BRAINLIEST!! Write an exponential function in the form y=ab^x
Rudik [331]

Answer:

y=13(4)^x

Step-by-step explanation:

We have the exponential function of the form:

y=ab^x

And it goes through the points (0, 13) and (3, 832).

Hence, when we substitute in 0 for x, we should get 13 for y. Therefore:

13=ab^0

Since anything to the zeroth power is 1, this yields:

a=13

So, we determined that the value of a is 13.

So, our function is now:

y=13b^x

We will need to determine b. We know that y equals 832 when x is 3. Hence:

832=13(b)^3

Divide both sides by 13:

b^3=64

Take the cube root of both sides:

b=4

Hence, our b value is 4.

Therefore, our entire equation is:

y=13(4)^x

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