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2 years ago

Which number is equivalent to (1/3)^-4 A.12 B.81 C.1/12 D.1/81

Mathematics

1 answer:

marishachu [46]2 years ago

6 0

Answer:

Step-by-step explanation:

(1/3)^-4

=1/[(1/3)^4]

=1/(1/81)

=81

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If the third term in a geometric sequence is 20, and the fifth term in the sequence is 5, what is the ratio (multiplier)?

Talja [164]

Term:    3    4      5
Value 20    ..      5
          20 20r 20r^2
So 20r^2 = 5
         r^2 = 1/4
           r = 1/2

5 0

3 years ago

Round 83,461 to the nearest thousand.

ch4aika [34]

Answer:

See below.

Step-by-step explanation:

83,461

This is the thousand place.

5 and above is rounded up, 4 and below is rounded down.

83,000 is the answer.

-hope it helps

4 0

2 years ago

Two cards are drawn without replacement from a standard deck of 52 playing cards. What is the probability of choosing a red card

joja [24]

Answer: $\dfrac{3}{51}$

Step-by-step explanation:

Given : The total number of cards in a deck = 52

Number of red cards = 26

There are two types of red cards : diamond and heart.

Number of diamond cards = 13

The probability that the first card is a diamond :-

$\dfrac{13}{52}=\dfrac{1}{4}$

Since diamond is also a red card.

Now, the total cards left = 51

The number of red cards left = 12

The probability that the second card is a red card (without repetition) is given by :-

$\dfrac{12}{51}$

Now, the probability of choosing a red card for the second card drawn, if the first card, drawn without replacement, was a diamond :-

$\dfrac{1}{4}\times\dfrac{12}{51}=\dfrac{3}{51}$

7 0

3 years ago

Suppose that r varies directly with s and inversely with t, and r = 2 when s = 3 and t = 12. What is the value of r when s = 5 a

Dmitry_Shevchenko [17]

The statement suppose that r varies directly with s and inversely with t is best represented as:

r α s/t

To make it into equality, we insert a proportionality constant, k:

r = ks/t

Using the initial conditions, we solve for k.

r = ks/t
r = 2 when s = 3 and t = 12

2 = k(3)/12
k = 8

Thus, when s = 5 and t = 4,

r = 8(5)/4
r = 10 -----> OPTION C

6 0

3 years ago

From the intersection for the following sets.

zaharov [31]

Since x is intersecting y, it will be XnY =(0, 10)

3 0

3 years ago