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3 years ago

What are the answers?

Advanced Placement (AP)

1 answer:

slamgirl [31]3 years ago

6 0

The answer to the question would be 15 and 10

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Clayton went camping with his family. At 6:10 A.M., Clayton set out to go fishing. It took 1

ANEK [815]

Answer: 11:35 A.M.

Explanation:

6:10am (Starting)

+ 1:10 (Hiking to the lake)

+ 2:50 (Fishing)

+ 1:25 (Hiking back)

= 11:35 A.M.

3 0

2 years ago

Surface Area of a can is 517.8 cm^2. Maximize the volume of this can using the measured surface area.

mafiozo [28]

Answer:

$r = 5.24$ --- Radius

$h = 10.48$ --- Height

Explanation:

Given

Object: Can (Cylinder)

$Surface\ Area = 517.8cm^2$

Required

Maximize the volume

The surface area is:

$S.A = 2\pi r^2 + 2\pi rh$

Substitute 517.8 for S.A

$517.8 = 2\pi r^2 + 2\pi rh$

Divide through by 2

$258.9 = \pi r^2 + \pi rh$

Factorize:

$258.9 = \pi r(r + h)$

Divide through by $\pi r$

$\frac{258.9}{\pi r} = r + h$

Make h the subject

$h = \frac{258.9}{\pi r} - r$ --- (1)

Volume (V) is calculated as:

$V = \pi r^2h$

Substitute (1) for h

$V = \pi r^2(\frac{258.9}{\pi r} - r)$

Open Bracket

$V = 258.9r - \pi r^3$

Differentiate V

$V' = 258.9 - 3\pi r^2$

Set V' to 0

$0 = 258.9 - 3\pi r^2$

Collect Like Terms

$3\pi r^2 = 258.9$

Divide through by 3

$\pi r^2 = 86.3$

Divide through by $\pi$

$r^2 = \frac{86.3}{\pi}$

$r^2 = \frac{86.3*7}{22}$

$r^2 = \frac{604.1}{22}$

Take square root of both sides

$r = \sqrt{\frac{604.1}{22}$

$r = 5.24$

Recall that:

$h = \frac{258.9}{\pi r} - r$

Substitute 5.24 for r

$h = \frac{258.9}{\pi * 5.24} - 5.24$

$h = \frac{258.9*7}{22 * 5.24} - 5.24$

$h = \frac{1812.3}{115.28} - 5.24$

$h = 15.72 - 5.24$

$h = 10.48$

Hence, the dimension that maximize the volume is:

$r = 5.24$ --- Radius

$h = 10.48$ --- Height

7 0

2 years ago

why is it neccessary to correct the readings of the respirometers containing seeds with the readings taken from the respirometer

romanna [79]

Do you have a paper or file

6 0

3 years ago

Which of the following is the first key to reducing the risk of exposure to bloodborne pathogens?

hjlf

Answer:

A: Education

Explanation:

5 0

2 years ago

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At an all-way stop, when it comes to right-of-way, "first in, first out" means _____.

Lana71 [14]

Answer:

Explanation:

"Yield to any road users who arrived before you",

We can apply this to the road situation. When we are in a situation of a four-way stop with no traffic light, the first car that arrives at the intersection has "the right of way" or he has the priority to go first. The location of the cars or their direction don't have any importance; the car that arrives first at the intersection has the priority to go first ( first in, first out).

7 0

2 years ago

Read 2 more answers