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3 years ago

5

a company makes wax candles in the shape of a cyclinder. each candle has a radius of 4 inches and a height of 2 inches. how much

wax will the company need to make 160 candles

1 answer:

LenaWriter [7]3 years ago

8 0

Roughly 16084.8

If the volume is roughly 100.53, then times that by 160, then you get roughly 16084.8

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Read 2 more answers

Jack and Diane were saving money to go to a rock n roll concert. They need at least $750 in order to go if you count their gas,

nataly862011 [7]

Answer:

$\left\{\begin{array}{l}y\le 4x\\ \\x\ge 10\\ \\50x+25y\ge 750\end{array}\right.$

Step-by-step explanation:

Let x represents the number of nights Jack worked and y represents the number of nights Diane worked.

1. The number of nights Diane is scheduled to work is no more than four times the number of nights Jack is scheduled to play. Then

$y\le 4x$

2. Diane will work at least 10 times before the concert. Then

$x\ge 10$

3. Jack earns $50 per night that he plays, then he earned $50x in x nights. Diane earns $25 each night she works, then she earns $25y in y nigths. They need at least $750, so

$50x+25y\ge 750$

4. We get the following set of constraints to model the problem:

$\left\{\begin{array}{l}y\le 4x\\ \\x\ge 10\\ \\50x+25y\ge 750\end{array}\right.$

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Which of the following statements are true?

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When a constant force is applied to an object, the acceleration of the object varies inversely with its mass. When a certain con

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Answer: The mass of the object is 10 kg

Step-by-step explanation:

According to Newton's second law of motion, the force $F$ applied to an object with mass $m$ is directly proportional to its acceleration $a$ :

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If we isolate $a$ :

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Now, we are given the following data to calculate a constant force using (1):

$m_{1}=4 kg$

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If we apply this same force calulated in (4) in another object with an acceleration of $a_{2}=2 m/s^{2}$ , its mass $m_{2}$ will be:

$F=m_{2}a_{2}$ (6)

$20 N=m_{2}2 m/s^{2}$ (7)

Finding $m_{2}$ :

$m_{2}=10 kg$ This is the mass of the object

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3 years ago