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oksian1 [2.3K]
2 years ago
11

Points points points points

Mathematics
2 answers:
arlik [135]2 years ago
8 0

Answer:

..................................

masya89 [10]2 years ago
8 0
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After heating up in a teapot, a cup of hot water is poured at a temperature of 204°F.
laila [671]

Answer:

  • Question 1: 0.081 min⁻¹
  • Question 2: 168ºF

Explanation:

The missing equation is:

             T=T_a+(T_0-T_a)e^{-kt}

You are given:

  • Ta = the temperature surrounding the object = 73ºF
  • T₀ = the initial temperature of the object = 204ºF
  • t = 2.5 min
  • T after 2.5 min = 180ºF

Question 1: Find the the value of k.

Substitute the data into the equation and solve for k:

          180\º=73\º+(204\º-73\º)e^{-k\cdot 2.5min}\\ \\ 107\º=131\ºe^{-k\cdot 2.5min}\\\\-k\cdot 2.5min=\ln (107/131)\\\\k=0.081min^{-1}

Question 2: Find the Fahrenheit temperature of the cup of water, to the nearest degree, after 4 minutes.

Subsititute into the formula and compute:

            T=73\ºF+(204\ºF-73\ºF)e^{-0.081min^{-1}\times 4min}\\ \\ T=73\ºF+(131\ºF)(0.72325024)\\\\T=168\ºF

4 0
3 years ago
Can someone help me with question 1 and 2 please​
ss7ja [257]

Answer:

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Step-by-step explanation:

7 0
3 years ago
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It took Michala 4 hours to sew 9 scarfs. How many scarfs could she make in 24 hours
aksik [14]
<h2>4 hours → 9 scarfs</h2><h2>8 hours → 18 scarfs</h2><h2>12 hours → 27 scarfs</h2><h2>16 hours → 36 scarfs</h2><h2>20 hours → 45 scarfs</h2><h2><u>24 hours → 54 scarfs</u></h2><h2><u /></h2><h3>Therefore, Michala can sew 54 scarfs in 1 day.</h3>
3 0
3 years ago
Which statement is true regarding the graphed functions?
RoseWind [281]

Answer:c. F(2)=g(-2)

Step-by-step explanation:

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3 years ago
Find the value of x. I WILL GIVE YOU BRAINLIEST!!!!​
Elan Coil [88]

Hi there!

\large\boxed{x = 40}

We can solve for x knowing that the sum of interior angles in a triangle is 180°.

The square at the bottom indicates a right angle, or 90°. Therefore:

180 = 90 + x + (x + 10)

Combine like terms:

180 = 100 + 2x

Subtract 100 from both sides:

180 - 100 = 2x

80 = 2x

Divide both sides by 2:

x = 40.

5 0
3 years ago
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