the volumes of two spheres are 729 in3 and 27 in3. what is the ratio of their radii, rounded to the nearest whole number?

Answers

Answer 1

Answer: The volumes of spheres are proportional to R³. So their 'R's
are proportional to ∛their volumes.

(729/ 27) = 27

∛27 = exactly 3 . No rounding required.

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If you and a friend each toss two pennies at the same time, what is the probability that all four pennies will be tails?A. 1/2
B. 1/4
C. 1/8
D. 1/16
E. 1/32

Answers

Probability helps us to know the chances of an event occurring. The probability that all four pennies will be tails is (1/16).

What is Probability?

Probability helps us to know the chances of an event occurring.

$\rm Probability=(Desired\ Outcomes)/(Total\ Number\ of\ outcomes\ possible)$

The probability of a penny getting a tail is 0.5 or (1/2), therefore, the probability of four penny getting a tail can be written as,

$\rm Probability = \frac14 * \frac14 * \frac14 * \frac14 = \frac1{16}$

Hence, the probability that all four pennies will be tails is (1/16).

Learn more about Probability:

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Answer:

1/16

Step-by-step explanation:

X times 18 times 12 find the number

Answers

Answer: X=216

Step-by-step explanation:

18×12=216

Now, to find the number x times 18 times 12, you can multiply 216 by x:

X x 216

A laptop computer is priced at $650. If the sales tax is 5%, find the total cost of the computer, including sales tax.

Answers

price + tax

650 + 5/100 x 650

650 + 32,5

= $682,5

$100\%+5\%=105\%\n\n \$650-100\%\n \$x=105\%\n \n 650 \cdot 105=100x\n 68250=100x\ /:100\n x=\$682,5\n \n Answer:Total\ cost\ of\ the\ computer\ is\ \$682,5.$

Y varies directly with x, and y=16
in. when x=8 in.

Answers

Answer:

y= 2x

Step-by-step explanation:

To figure out what the equation would be you would set up an equation..

16 = 8z

Then you find z

16/8 = 8z/8

2 = z

Now you can set up a variable expression although it isn't necessary

y = zx

Now you plug in the value of z to complete the equation

y= 2x

I hope this is what you wanted!!!

Given the function f(x)=0.3(4)x
what is the value of
f−1(6)

a. 0.360
b. 1.242
c. 2.161
d. 2.312

Answers

For this case we have the following function:
$f (x) = 0.3 (4) ^ x$
Rewriting we have:
$y = 0.3 (4) ^ x$
From here, we clear the value of x:
$(4) ^ x = y / 0.3log4 ((4) ^ x) = log4 (y / 0.3)$
Rewriting we have:
$x = log4 (y / 0.3)$
Therefore, the inverse function is given by:
$f ^ {-1} (x) = log4 (x / 0.3)$
For x = 6 we have:
$f ^ {-1} (6) = log4 (6/0.3)f ^ {-1} (6) = 2.161$
Answer:
is the value of f^-1(6) is:
c. 2.161

f(x)=0.3(4)^x

f^-1(x) = ?

x = 0.3(4)^y

4^y = x/0.3

4^y = 6/0.3

4^y = 20

y = 2.161

Which is a factor of x^2 + 8x – 48?(x – 6)

(x + 4)

(x – 16)

(x + 12)