2 years ago

Number cards from 1 to 10 are placed in a bag. Flame chooses a card at random? What is the chance that it is a multiple of 4?

Mathematics

1 answer:

Thepotemich [5.8K]2 years ago

6 0

I believe the chances are 20%

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What is the common multiple of 2,960 6,400 and 2000 with full process

Mamont248 [21]

Answer:

1184000

Step-by-step explanation:

lcm(2960,6400,2000)

prime factor:

$2960=(2^4)(5)(37)\\6400=(2^8)(5^2)\\2000=(2^4)(5^3)$

Take the largest power of each factor:

$(2^8)(5^3)(37^1)\\=1184000$

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1 year ago

Determine if this conjecture is true. If not, give a counterexample. The difference of two negative numbers is a negative number

Orlov [11]

That would be a false statement

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2 years ago

A sequence has a common ratio of Three-halves and f(5) = 81. Which explicit formula represents the sequence? f(x) = 24(Three-hal

Ede4ka [16]

Answer:

$f(x)=16\, (\frac{3}{2} )^{x-1}$

Step-by-step explanation:

Since we are given the common ratio (3/2), all we need to find to define the geometric sequence, is its multiplicative factor ( $a$ ) that corresponds to the first term of the sequence - remember that all consecutive terms will be generated by multiplying this first value repeatedly by the common ratio (3/2) as shown below:

$f(1)=a\\f(2)=a\,*\,(\frac{3}{2} )\\f(3)=a\,*\,(\frac{3}{2} )^2\\f(4)=a\,*\,(\frac{3}{2} )^3\\f(5)=a\,*\,(\frac{3}{2} )^4$

Since we are given the information that $f(5)=81$ we can use this to find the value of the first term:

$f(5)=\,a\,*\,(\frac{3}{2} )^4\\81=\,a\,*(\frac{81}{16} )\\a\,*\,81=\,81\.*\,16\\a\,=\,16$

Notice as well that the first term doesn't contain the common ratio, the second term contains the common ration (3/2) to the power one, the third one contains the common ratio to the power two, the fourth one contains it to the power three, and so forth. So the exponent at which the common ratio appears is always one unit less than the order (x) of the term in question. This concept helps us finalize the expression for the sequence's formula:

$f(x)=16\,*\,(\frac{3}{2} )^{x-1}$