Find the volume of each prism. Round to the nearest tenth if necessary

Of the following numbers, which one is prime: 14, 13, 21, 33?

Dvinal [7]

13 is a prime number because you can't multiply 2 numbers to make 13

6 0

4 years ago

What is equivalent to the ratio 5/13

Rudik [331]

10/26, you can just multiply each number in the fraction by 2 :)

4 0

3 years ago

Read 2 more answers

You have a chess board as pictured, with squares numbered 1 through 64. You also have a huge change jar with an unlimited number

ANEK [815]

Answer:

(a) 512 dimes

(b) $D(n) = 2^{n-1}$

(c) 9.22337 x 10¹⁸ dimes

(d) 9.22337 x 10¹² km

(e) roughly 61,489.13 times longer than the distance from the earth to the sun.

Step-by-step explanation:

b. Starting with 1 dime in the first square, if the number of dimes per each square is the double of the previous square, the general equation for the number of dimes in each square 'n' can be found by:

$D(1) = 1\\D(2) = 2^1\\D(3) = 2^2\\D(4) = 2^3\\D(n) = 2^{n-1}$

a. On the 10th square:

$D(10) = 2^{10-1}\\D(10) = 512\ dimes$

c. On the 64th square:

$D(64) = 2^{64-1}\\D(10) = 9.22337 *10^{18}\ dimes$

d. If a dime is 1 mm thick, the 64th pile will be:

$h= 9.22337*10^{18}*0.0001\ m\\h= 9.22337*10^{15}\ m\\h= 9.22337*10^{12}\ km$

e. The ratio between the height of the last pile (h) to the distance from the earth to the sun is:

$R=\frac{9.22337*10^{12}\ km}{150,000,000\ km}\\ R=61,489.13$

The height of the last pile is roughly 61,489.13 times longer than the distance from the earth to the sun.

5 0

3 years ago

PLEASEE HELP.!! ILL GIVE BRAINLIEST.!! *EXTRA POINTS* DONT SKIP:((

pishuonlain [190]

Answer:

Step-by-step explanation:

I'm not exatcly sure what is meant by magnitude but if it is the slope it is simply -7 if it is asking about the actual magnitude or length of the vector then we use pthagorean theorum which is:

$c^{2} =a^{2} +b^{2}\\$