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torisob [31]
3 years ago
6

Convert 0.00001 to a power of 10.

Mathematics
1 answer:
kolezko [41]3 years ago
6 0

Answer:

10^-5

Step-by-step explanation

Move the decimal to the right 5 places. Moving to the right makes the power a negative, moving to the left would make it a positive.

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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
Help please! any help is appreciated
maria [59]

Answer:

Step-by-step explanation:

6.

P(even)=4/8=1/2

=50 %

7.

P(8)=23/50

=46 %

5 0
2 years ago
Marcelina uses a blend of white corn and yellow corn to make tortilla chips at her restaurant. She needs to buy 50kg of corn in
zlopas [31]

Answer:

Option D. Marcelina spends less that the intended amount of money and buy less than enough corn

Step-by-step explanation:

Let

x---->  is the amount of white corn she buys

y ---> is the amount of yellow corn she buys

we know that

She needs to buy 50 kg of corn in total

so

x+y=50 ----> equation A

She wants to spend $12 dollars total

so

0.30x+0.15y=12 ----> equation B

The solution of the system of equations is the intersection point both graphs

The solution is the point (30,20)

That means

Marcelina needs to buy 30 kg of white corn and 20 kg of yellow corn

we have the ordered pair F(15.15)

That means

15 kg of white corn and 15 kg of yellow corn

therefore

Total kg of corn bought is

15+15=30\ kg

30\ kg < 50\ kg

Total spend is

0.30(15)+0.15(15)=\$6.75

\$6.75

therefore

Marcelina spends less that the intended amount of money and buy less than enough corn

6 0
3 years ago
Read 2 more answers
Enter the range of values for x:<br> А<br> 52° 31°<br> B<br> 12<br> D<br> 2x - 6<br> 3
Vinvika [58]

Answer:

it's 9 I just took this assignment

5 0
3 years ago
Using 8(-20) in a real world situation
Paul [167]
Maybe, the price went down $20 eight times?
5 0
2 years ago
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