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steposvetlana [31]

2 years ago

6

In one popular game, five number cubes are rolled at the same time. if the number cubes are kept separate, what is the total pos

sible number of outcomes

1 answer:

madreJ [45]2 years ago

3 0

5 cubes, each have six sides containing different numbers = 6⁵ = 7,776

Answer: 7,776 total possible outcomes

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Please help with this

gladu [14]

Answer: Y=-3x+5
Explanation:

6 0

2 years ago

Mario invested $6,000 in an account that pays 5% annual interest compounded annually how much will be there after 2.5 years

Liono4ka [1.6K]

Answer:

$48,000

Step-by-step explanation:

$i = \frac{p \times r \times t}{100 } \\ 6000 = \frac{p \times 5 \times 2.5}{100 } \\ 600000 = 12.5 \\ 48000$

6 0

1 year ago

Please hurry in need for help!!

d1i1m1o1n [39]

5 × x = 1/4 x = 1/4 ÷ 5 x = 1/20

7 0

2 years ago

The velocity v and maximum height h of the water being pumped into the air are related by the equation v=\sqrt(2gh) where g is t

Whitepunk [10]

The velocity v and maximum height h of the water being pumped into the air are related by the equation

v= $\sqrt{2gh}$

where g = 32

(a) To find the equation that will give the maximum height of the water , solve the equation for h

v= $\sqrt{2gh}$

Take square root on both sides

$v^2$ = 2gh

Divide by 2g on both sides

$\frac{v^2}{2g}$ = h

So maximum height of the water h = $\frac{v^2}{2g}$

(b) Maximum height h= 80

velocity v= 75 ft/sec

Given g = 32

h = $\frac{v^2}{2g}$

h = $\frac{75^2}{2*32}$

h= 87.89 ft

The pump withe the velocity of 75 ft/sec reaches the maximum height of 87.89 feet. 87.86 is greater than the maximum height 80 feet.

So the pump will meet the fire department needs.

8 0

2 years ago

In a group of eighteen people, each person shakes hands once with each other person in the group. How many handshakes will occur

miv72 [106K]

The number of handshakes that will occur in a group of eighteen people if each person shakes hands once with each other person in the group is 153 handshakes

In order to determine the number of handshakes that will occur among 18 people, that is, the number of ways we can choose 2 persons from 18 people.

∴ The number of handshakes = $^{18}C_{2}$

$^{18}C_{2} = \frac{18!}{(18-2)!2!}$

$^{18}C_{2} = \frac{18!}{16!2!}$

$^{18}C_{2} = \frac{18\times17\times16!}{16!\times2!}$

$^{18}C_{2} = \frac{18\times17}{2\times1}$

$^{18}C_{2} = \frac{306}{2}$

$^{18}C_{2} = 153$

∴ The number of handshakes = 153 handshakes

Hence. 153 handshakes will occur in a group of eighteen people if each person shakes hands once with each other person in the group.

Learn more here: brainly.com/question/1991469

5 0

1 year ago