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3 years ago

Find the unit rate for number of parts manufactured per hour if 1116 parts are made in 7 hours. Round to the nearest integer

1 answer:

4 0

It would be 159 parts. This is because 1116/7 is 159.42 and technically a part can only be a whole number. So it would be 159 parts.

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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

In which quadrant will the image FGH lie after a counterclockwise rotation of 1980 degrees? Explain how you made your prediction

Nata [24]

A 360 degrees counter-clockwise rotation will bring the triangle at the same place.

So, divide 1980 by 360 and find the remainder.

On dividing, we can find that

1980 = 5(360) + 180

A 1800 degrees rotation will rotate the triangle 5 times and will bring it in the same place.

A further 180 degrees rotation will rotate the triangle to two quadrants back and will bring it in the first quadrant.

3 0

2 years ago

Bluepoint's current population is 7,353 residents, which is 14% smaller than at the time of its founding. What was the populatio

valina [46]

Answer:

8,382.42

Step-by-step explanation:

4 0

2 years ago

HELP ME PLEASE!!! I DON'T UNDERSTAND!

Rama09 [41]

Answer: 12

Step-by-step explanation:

this is a right angled triangle so you use the pythagorean theory

which is a^2 + b^2 = c^2

you have c and b already. c is the hypotenuse.

a^2 + 16^2 = 20^2

a^2 + 256 = 400

a^2 = 400 - 256

a^2 = 144

then you square root 144 and get..

a = 12

3 0

3 years ago

Read 2 more answers

Simplify 2(5+3x) + (x+10)

xz_007 [3.2K]

Answer:

7x + 20

I hope I helped :D

Step-by-step explanation:

8 0

2 years ago