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ludmilkaskok [199]
3 years ago
9

Sets M and F are defined as follows.

Mathematics
1 answer:
a_sh-v [17]3 years ago
6 0

Answer:

intersection is /c,d/

Step-by-step explanation:

circle the common members and list them

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Find the LCM of n^3 t^2 and nt^4.<br><br> A) n 4t^6<br> B) n 3t^6<br> C) n 3t^4<br> D) nt^2
patriot [66]

Answer:

The correct option is C.

Step-by-step explanation:

The least common multiple (LCM) of any two numbers is the smallest number that they both divide evenly into.

The given terms are n^3t^2 and nt^4.

The factored form of each term is

n^3t^2=n\times n\times n\times t\times t

nt^4=n\times t\times t\times t\times t

To find the LCM of given numbers, multiply all factors of both terms and common factors of both terms are multiplied once.

LCM(n^3t^2,nt^4)=n\times n\times n\times t\times t\times t\times t

LCM(n^3t^2,nt^4)=n^3t^4

The LCM of given terms is n^3t^4. Therefore the correct option is C.

8 0
3 years ago
Read 2 more answers
Simplify the expression:<br> b2–3b+7+5b
MArishka [77]
The answer is :

4b+7

hope this helps!!
6 0
3 years ago
Read 2 more answers
If a company buys an item at a wholesale price of $45, which of the following would make sense as a retail price to charge the c
boyakko [2]

Answer:

Step-by-step explanation:

buys it for $ 45

well...you know the business is gonna want to make a profit...so they would have to sell it for more then they bought it for.

I would say $ 60 or $ 80

4 0
3 years ago
Someone answer this please, I’ll give you brainliest and your getting a lot of points.
ANTONII [103]

Answer:

Step-by-step explanation:

Recursive formula

tn = t_n-1 / 4

t2 = t1 / 4

t2 = 10240

t1 = 10240 / 4 = 2560

Explicit formula

tn = 10240 / 4^(n-1)

t4 = 10240 / 4^(4 - 1)

t4 = 10240 / 4^3

t4 = 10240 / 64

t4 = 160

t8 = 10240 / 4^7

t8 = 0,625

6 0
2 years ago
A firecracker reaches a height of h feet before it bursts. The height h is modeled by h = −16t2 + vt + c, where v is the initial
daser333 [38]

General Idea:

If we have a quadratic function of the form f(x)=ax^{2} +bx+c , then the function will attain its maximum value only if a < 0 & its maximum value will be at x=-\frac{b}{2a} .

Applying the concept:

The height h is modeled by h = −16t^2 + vt + c, where v is the initial velocity, and c is the beginning height of the firecracker above the ground. The firecracker is placed on the roof of a building of height 15 feet and is fired at an initial velocity of 100 feet per second. Substituting 15 for c and 100 for v, we get the function as h=-16t^2+100t+15.

Comparing the function f(x)=ax^{2} +bx+c with the given function h=-16t^{2} +100t+15, we get a = -16, b = 100 and c=15.

The maximum height of the soccer ball will occur at t=\frac{-b}{2a}=\frac{-100}{2(-16)} = \frac{-100}{-32}=3.125 seconds

The maximum height is found by substituting t=3.125 in the function as below:

h=-16(3.125)^2+100(3.125)+15=171.25 feet

Conclusion:

<u>Yes !</u> The firecracker reaches a height of 100 feet before it bursts.

6 0
3 years ago
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