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2 years ago

How many dice can fit into a 3 by 5 in box

1 answer:

8 0

In addition to the information given in the question,
the answer is going to depend on ...

-- the dimensions of the dice

-- the height of the box.

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Identify the expression with nonnegative limit values. More info on the pic. PLEASE HELP.

marshall27 [118]

Answer:

$\lim _{x\to 2}\:\frac{x-2}{x^2-2}\\\\ \lim _{x\to 11}\:\frac{x^2+6x-187}{x^2+3x-154}\\\\ \lim _{x\to \frac{5}{2}}\left\frac{2x^2+x-15}{2x-5}\right$

Step-by-step explanation:

a) $\lim _{x\to 3}\:\frac{x^2-10x+21}{x^2+4x-21}=\lim \:_{x\to \:3}\:\frac{\left(x-7\right)\left(x-3\right)}{\left(x+7\right)\left(x-3\right)}=\lim \:_{x\to \:3}\:\frac{x-7}{x+7}=\frac{3-7}{3+7}=-\frac{4}{10}=-\frac{2}{5}$

b) $\lim _{x\to -\frac{3}{2}}\left(\frac{2x^2-5x-12}{2x+3}\right)=\lim \:_{x\to -\frac{3}{2}}\:\frac{\left(2x+3\right)\left(x-4\right)}{\left(2x+3\right)}=\lim \:\:_{x\to \:-\frac{3}{2}}\:\left(x-4\right)=-\frac{3}{2}-4\\ \\ \lim _{x\to -\frac{3}{2}}\left(\frac{2x^2-5x-12}{2x+3}\right)=-\frac{11}{2}$

c) $\lim _{x\to 2}\:\frac{x-2}{x^2-2}=\frac{2-2}{\left(2\right)^2-2}=\frac{0}{4-2}=0$

d) $\lim _{x\to 11}\:\frac{x^2+6x-187}{x^2+3x-154}=\lim _{x\to 11}\:\frac{\left(x-11\right)\left(x+17\right)}{\left(x-11\right)\left(x+14\right)}=\lim _{x\to 11}\:\frac{\left(x+17\right)}{\left(x+14\right)}=\frac{11+17}{11+14}=\frac{28}{25}$

e) $\lim _{x\to 3}\:\frac{x^2-8x+15}{x-3}=\lim \:_{x\to \:3}\:\frac{\left(x-3\right)\left(x-5\right)}{x-3}=\lim _{x\to 3}\left(x-5\right)=3-5=-2$

f) $\lim _{x\to \frac{5}{2}}\left(\frac{2x^2+x-15}{2x-5}\right)=\lim \:_{x\to \:\frac{5}{2}}\frac{\left(2x-5\right)\left(x+3\right)}{2x-5}=\lim \:\:_{x\to \:\:\frac{5}{2}}\left(x+3\right)=\frac{5}{2}+3=\frac{11}{2}$

4 0

2 years ago

1. The sum of two numbers is 90. Their difference is 18. Find the numbers. A(40, 22) B(45, 45) C(36, 54) D(27, 63) E (40, 50) F

Genrish500 [490]

Answer:

36 and 54

Step-by-step explanation:

54-36=18

54+36= 90

3 0

2 years ago

jillian is trying to save water so she reuces the size of her square grass lawn by 8 ft on each side the area of the smaller law

dusya [7]

(x - 8)^2 = 144
take the sq rt of both sides
x - 8 = 12
x = 12 + 8
x = 20

20 feet by 20 feet

5 0

2 years ago

Read 2 more answers

NEED HELP ASAP WILL GIVE BRAINLY IF CORRECT

Alenkinab [10]

Answer:

from top to bottom

the second one

the third one

and the sixth one

5 0

2 years ago

Frog A eats 8 flies in 4 minutes, while Frog B eats 14 flies in 7 minutes. Which frog eats more flies per minute?

lions [1.4K]

<h3>Answer:</h3>

Neither one

<h3>Step-by-step explanation:</h3>

Frog A's "unit rate" is ...

... (8 flies)/(4 minutes) = 2 flies/minute

Frog B's "unit rate" is ...

... (14 flies)/(7 minutes) = 2 flies/minute

Both rates are the same. Each frog eats 2 flies per minute.

8 0

3 years ago