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3 years ago

A little confused on this one, if you can help that’d be great! thank you :))

Mathematics

1 answer:

Citrus2011 [14]3 years ago

7 0

Answer:

The answer is A

Step-by-step explanation:

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A calculator is required to obtain the final answer on this question. A solid metal sphere at room temperature 20oC is dropped i

yKpoI14uk [10]

Answer:

T = 47.1875°C

Step-by-step explanation:

Given:

Surrounding temp, Ts = 100°C

Initial Temperature ,T0= 20°C

Increase in temperature = 15°C

Final temperature, T = 20 + 15 = 35°C

Time, t = 9 seconds

Let's take Newton's law of cooling:

$T - Ts = (T_0 - Ts)e^k^t$

We'll solve for k

$35 - 100 = (20 - 100)e^9^k$

$-65 = (-80)e^9^k$

Divide both sides by -5

$13 = (16)e^9^k$

$9k = ln (\frac{13}{16})$

$k = \frac{1}{9} ln (\frac{13}{16})$

$k = -0.02307104053$

Let's now find the temperature of the ball after 18 seconds in boiling water.

Use the Newton's equation again:

$T - Ts = (T_0 - Ts)e^k^t$

$T - 100 = (20 - 100)e^-0.0^2^3^0^7^1^0^4^0^5^3^*^1^8$

$T - 100 = (-80)e^-0.0^2^3^0^7^1^0^4^0^5^3^*^1^8$

$T - 100= -52.8125$

$T = 100 - 52.8125$

T = 47.1875°C

Temperature of the ball after 18 seconds in boiling water is 47.1875°C

5 0

3 years ago

PLEASE HELPPP HELP HELP HELP HELP ASAPPP MATH AHHHHH

Rom4ik [11]

Answer:

Step-by-step explanation:

$121 - 55 = 66$

8 0

3 years ago

Read 2 more answers

Use a table to write a funtion

Lady bird [3.3K]

I see no table sorry

8 0

3 years ago

When h is 2, is the following statement true: 6h + 9 < 20

Pepsi [2]

Answer:

False

Step-by-step explanation:

12+9<20

21≮20

False

8 0

3 years ago

A population of flies grows according to the function p(x) = 2(4)x, where x is measured in weeks. A local spider has set up shop

aleksandr82 [10.1K]

The functions are:

$p(x)=2\cdot4^x$ and $s(x)=2x+5$ .

After 2 weeks, under no risk of spiders, the population of the flies is calculated by the function as $p(2)=2\cdot4^2=2\cdot16=32$ .

Similarly, we calculate s(2)=2(2)+5=4+5=9, which means that the spider consumes 9 flies in 2 weeks.

Thus, out of 32 flies, 9 are eaten by the spider, so there are 32-9=23 flies left.

Answer: 23

7 0

3 years ago