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andrey2020 [161]
3 years ago
11

Which is a sum of cubes? аз +18 а + 9 a° + 16 а12 + 8

Mathematics
1 answer:
ICE Princess25 [194]3 years ago
4 0

Answer:

53

Step-by-step explanation:

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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
What do the factors (x+2)(-8x+70)in the factored form represent?
Tasya [4]

Answer:

-2(x+2)(4x-35)

Step-by-step explanation:

5 0
3 years ago
What is the 101st term in the sequence 997, 989, 981, ...?
melamori03 [73]

Answer: first option.

Step-by-step explanation:

Find the common difference d of the arithmetic sequence:

d=a_n-a_{(n-1)}\\d=989-997\\d=-8

Then the formula for the 101st term is the shown below:

a_n=a_1+(n-1)d

Where:

a_1=997\\d=-8\\n=101

Substitute values into the formula. Therefore, you obtain:

a_n=997+(101-1)(-8)=197

4 0
3 years ago
Read 2 more answers
The Board of Directors of a small company consists of five people. Two of those directors are considered "strong leaders". If th
Pavel [41]
1: 40%
2: 30%
3: 20%

If we know one of the succeeded, then 
1: 44.44%
2: 33.33%
3: 22.22%

If under the circumstance that they all fail to meet a strong leader, the board picks one of them at random,
1: 43.33%
2: 33.33%
3: 23.33%

The first person has a 2 in 5 chance of randomly getting a strong leader. If the first person doesn't find a strong leader, the second person has a 2/4 chance of getting a strong leader. If neither the first nor second person gets a strong leader, the third sales person has a 2/3 chance of getting a strong leader.

1: 2/5=40% Chance
2: (3/5)*(2/4)=30% Chance You have to take the probability the first rep failed to get a strong leader, then multiply by the probability the second rep gets a strong leader.
3: (3/5)*(2/4)*(2/3)=20% You have to take the probability both the other people failed, then multiply by the probability they succeeded.
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3 years ago
Monthly payment of 1,000 where interest is 6% compounded monthly​
inessss [21]

Answer: you would have 1,060 in a month if that’s what you are asking

Step-by-step explanation:

6 0
3 years ago
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