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Contact [7]
3 years ago
15

Find the time required for an object to cool from 280°F to 220°F by evaluating the following where t is time in minutes. (Round

your answer to four decimal places.) *280 t= 10 In 2 1 dT T – 100 min​

Mathematics
1 answer:
blsea [12.9K]3 years ago
4 0

9514 1404 393

Answer:

  5.8496 min

Step-by-step explanation:

  \displaystyle t=\frac{10}{\ln{2}}\int_{220}^{280}{\frac{1}{T-100}}\,dT=\frac{10(\ln{(280-100)}-\ln{(220-100)})}{\ln{2}}=\frac{10\ln{(3/2)}}{\ln{2}}\\\\\boxed{t\approx5.8496\quad\text{min}}

__

Modern calculators can perform integration with high accuracy. This one gives the same result.

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Examine the table below showing the merchandising sales and answer the questions that follow.
-BARSIC- [3]

Answer:

The mean amount spent = £14.80

The modal product is hoodies.

Step-by-step explanation:

Here

25 T shirts each costing £10 were purchased

Amount spent on T shirts = 25 × 10 = £250

30 key ring of £5 were purchased

Amount spent on key ring = 30 × 5 = £150

40 Hoodies for £25 each

Amount spent on Hoodies = 40 × 25 =£1000

30 CD's for £15 each

Amount spent on CD's = 30 ×15 = £450

Total amount spent = 250 +150 + 1000 + 450 = £1850

Total items purchased = 25 + 30 + 40 + 30 = 125

Mean amount spent = \frac{1850}{125}= 14.80

The modal product is Hoodies as the maximum number of hoodies were purchased.


6 0
3 years ago
sally needs $20,000 in 4years. she has $10,000 to invest. if interest is compounded continuously, what rate is required for Sall
I am Lyosha [343]
10,000 Because you need to add 10,000 add its going to give you 20,000
7 0
3 years ago
What are the coordinates of point F?
sashaice [31]
D, its (x,y) and (8.2,5.7) are the only ones that match up
5 0
3 years ago
Find the area of this regular polygon.<br> Round to the nearest tenth.<br> 8.65 mm<br> [? ]mm2
nadezda [96]

Answer:

Actually it's not polygon. it's a nonagon. With r=8.65mm″, the law of cosines gives us side a:

a=√{b²+c²−2bc×cos40°}

a=√{149.645−149.645cos40°}

Area Nonagon = (9/4)a²cos40°

=9/4[149.645−149.645cos40°]cot20°

=336.70125[1−cos(40°)]cot(20°)

Applying an identity for the cos(40°) does not get us very far…

= 336.70125[1−(cos2(20°)−1)]cot(20°)

= 336.70125[2−cos2(20°)]cot(20°)

= 336.70125[2−(1−sin2(20°))]cot(20°)

= 336.70125[1+sin2(20°)]cos(20°)sin(20°)

= 336.70125[cot(20°)+sin(20°)cos(20°)]mm²

3 0
3 years ago
Which word describes a triangle with three angles, if each angle measures less than 90°?
NemiM [27]

Answer:

acute triangle

Step-by-step explanation:

A triangle with all angles less than 90 degrees has all angles that are acute.

Acute angles are less than 90 degrees

6 0
3 years ago
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