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3 years ago

Find ST. Help me solve please and thank you

Mathematics

1 answer:

slava [35]3 years ago

6 0

Answer: ST is equal to 12

Step-by-step explanation:

If RU is equal to 24 as a whole and we are given that RS and TU are equal to 6 then we could set up an equation and solve for ST.

6 + 6 +x = 24 where x is the length of ST

12 + x = 24

-12 -12

x = 12

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At 7:00 A.M., Alicia pours a cup of tea whose temperature is 200°F. The tea starts to cool to room temperature (72°F). At 7:02 A

alexgriva [62]

Answer: A) Option B

B) 22.3 minutes.

Step-by-step explanation:

The temperature decreases in an exponential decrease, this means that we can write the equation as:

T(x) = A*r^x + B

Where A is the difference between the initial temperature and the room temperature, B is the room temperature, and r is a positive number smaller than 1, that says "how fast" the temperature decreases (and x is the variable, in units of time)

We know that the initial temperature

A = 200° - 72° = 128°

B = 72°

T(x) = 128°r^x + 72°

The only option with those two values is option B.

T(x) = 128(0.989)^x + 72

We should check that when x = 2m, the temperature must be 197°

T(2m) = 128*(0.989)^2 + 72 = 197.2° (that we can round down to 197°)

So this equation is correct

Now we want to find the time such the temperature is 172°F

then:

172° = 128°(0.989)^x + 72°

100° = 128°(0.989)^x

100/128 = (0.989)^x

x = ln(100/128)/ln(0.989) = 22.3 minutes.

Let's check in our equation:

T(22.3) = 128°(0.989)^22.3 + 72 = 172°

8 0

3 years ago

Please help thank you so so so much there is more than one answer

Luden [163]

Answer:

B and C work. A and D do not.

Step-by-step explanation:

This is one of those questions that you have to go through each answer to see what the results are. You don't have to go far to eliminate A and D so let's do that first.

5n + 6

Let n = 1

5(1) + 6

5 + 6= 11

However there is trouble beginning with n = 2

5*2 + 6

10 + 6

16 All you need is one wrong answer and the choice is toast. So A won't work.

================

Try D

6(n - 1)+ 5

n=0

6*(-1) + 5

-6 + 5

- 1

And D has been eliminated with just 1 attempt. n= 2 or n = 1 would be even worse. D is not one of the answers.

=============

Let n = 1

6(1) + 5

6 + 5

11 The first term works.

n = 2

6*(2) + 5

12 + 5

17 and n = 2 works as well. Just in case it is hard to believe, let's try n = 3 because so far, everything is fine.

n = 3

6*(3) + 5

18 + 5

23 And this also works. I'll let you deal with n = 4

========

n = 0

6(0 + 1) + 5

6*1 + 5

6 + 5

n = 1

6(1 + 1) + 5

6*2 + 5

12 + 5

17 which works.

So C is an answer.

4 0

3 years ago

I need help with math

Mashutka [201]

Answer:

45%

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

Please answer this correctly

erastovalidia [21]

The right answer is 40 cm

please see the attached picture for full solution

Hope it helps

Good luck on your assignment

8 0

3 years ago

The sum of n 2 more than n

Lena [83]

N+2 would be the correct answer... i think!!!!!!!!!!!!

Hope i helped!!!!!!!!

4 0

3 years ago