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AysviL [449]
3 years ago
8

Can someone solve this

Mathematics
2 answers:
KiRa [710]3 years ago
6 0

\bf \textit{circumference of a circle}\\\\ C=2\pi r~~ \begin{cases} r=radius\\ \cline{1-1} C=32 \end{cases}\implies 32=2\pi r\implies \cfrac{32}{2\pi }=r \\\\\\ \cfrac{16}{\pi }=r\implies 5.092958178940651\approx r\implies \stackrel{\textit{rounded up}}{5.1=r}

kompoz [17]3 years ago
5 0
The answer is r=5.1..I agree
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taurus [48]
Note: a radioactive decay constant is always negative.

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time = ln (5/6) / -.00011
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time = <span> <span> <span> 165.75 years

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2 years ago
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A pizza pan is removed at 9:00 PM from an oven whose temperature is fixed at 450°F into a room that is a constant 70°F. After 5​
gladu [14]

Answer:

A) It will get to a temperature of 125°F at 9:19 PM

B) It will get to a temperature of 150°F at 9:16 PM

C) as time passes temperature approaches the initial temperature of 450°F

Step-by-step explanation:

We are given;

Initial temperature; T_i = 450°F

Room temperature; T_r = 70°F

From Newton's law of cooling, temperature after time (t) is given as;

T(t) = T_r + (T_i - T_r)e^(-kt)

Where k is cooling rate and t is time after the initial temperature.

Now, we are told that After 5​ minutes, the temperature is 300°F.

Thus;

300 = 70 + (450 - 70)e^(-5k)

300 - 70 = 380e^(-5k)

230/380 = e^(-5k)

e^(-5k) = 0.6053

-5k = In 0.6053

-5k = -0.502

k = 0.502/5

k = 0.1004 /min

A) Thus, at temperature of 125°F, we can find the time from;

125 = 70 + (450 - 70)e^(-0.1004t)

125 - 70 = 380e^(-0.1004t)

55/380 = e^(-0.1004t)

In (55/380) = -0.1004t

-0.1004t = -1.9328

t = 1.9328/0.1018

t ≈ 19 minutes

Thus, it will get to a temperature of 125°F at 9:19 PM

B) Thus, at temperature of 150°F, we can find the time from;

150 = 70 + (450 - 70)e^(-0.1004t)

150 - 70 = 380e^(-0.1004t)

80/380 = e^(-0.1004t)

In (80/380) = -0.1004t

-0.1004t = -1.5581

t = 1.5581/0.1004

t ≈ 16 minutes.

Thus, it will get to a temperature of 150°F at 9:16 PM

C) As time passes which means as it approaches to infinity, it means that e^(-kt) gets to 1.

Thus,we have;

T(t) = T_r + (T_i - T_r)

T_r will cancel out to give;

T(t) = T_i

Thus, as time passes temperature approaches the initial temperature of 450°F

6 0
3 years ago
What is  3/8f+1/2=6(1/16f-3)
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Choose the correct simplification of (4x − 3)(3x2 − 4x − 3).
Korolek [52]

the expression simplified is:

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<h3>How to simplify the given expression?</h3>

Here we have the expression:

(4x - 3)*(3x^2 - 4x - 3)

We just need to distribute the product, we will get:

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Now we just need to group terms with the same exponent of x:

12x^3 - 16x^2 - 12x - 9x^2 + 12x + 9\\\\12x^3 + (-16 - 9)x^2 + (-12 + 12)x + 9\\\\12x^3 - 25x^2 + 9

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If you want to learn more about simplification:

brainly.com/question/723406

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