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garik1379 [7]
3 years ago
6

Math Please Hurry Im smooth brain

Mathematics
2 answers:
rosijanka [135]3 years ago
8 0
1 yes
2 no
3 no
4 no
5 yes
Klio2033 [76]3 years ago
6 0

Answer:

see below

Step-by-step explanation:

1. yes

2. no, 4.82 x 10^4

3, no, 9.9 x 10^-4

4. no, 3.6 x 10^6

5. yes

6. no, 7.8 x 10^-4

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How do I answer this question
soldi70 [24.7K]

The answer is C. 2.

This is because the part that is inside of the parentheses is equal to 4. Multiplying the fractions in the numerator is equal to 4^\frac{3}{2}.

\frac{4^\frac{3}{2}}{4^\frac{1}{2}}=4., using the exponential rule 3/2-1/2=2/2 or 1. 4^1=4.

Now, we reduced the fraction, so all that is left is (4)^\frac{1}{2}. This is equal to 2.

So your answer is 2.

I hope this helps :)

8 0
3 years ago
Read 2 more answers
Simplify the expression: (4 − 7i) + (1 − 2i).<br><br> 3 − 9i<br> 3 − 5i<br> 5 − 9i<br> 5 − 5i
motikmotik

Answer:

5-9i

Step-by-step explanation:

If you add the 4 and 1 you get 5, and if you add -7i and -2i since they are both negative, they stay negative, so you get -9i.  So the answer is 5-9i.

6 0
3 years ago
Suppose you cool a pot of soup in a 20°C room. Right when you take the soup off the stove, you measure its temperature to be 180
dezoksy [38]

Answer:

  • 28.3 minutes
  • 53.6°C

Step-by-step explanation:

The temperature of the soup is described by Newton's Law of Cooling, which says the rate of change of temperature is proportional to the difference between the temperatures of the soup and the room. The solution to this differential equation is the exponential function ...

  f(t) = a +b·c^(t/τ)

where a is the room temperature, b is the initial difference in temperature, and c is the fractional change in the difference in temperature over time period τ.

__

<h3>application</h3>

For the given scenario, we find ...

  a = room temperature = 20 . . . . degrees C

  b = (180 -20) = 160 . . . . degrees C

  c = (100 -20)/(180 -20) = 80/160 = 1/2 . . . . in τ = 20 minutes

So, the formula for the temperature of the soup is ...

  f(t) = 20 +160(1/2)^(t/20) . . . . . . . degrees C after t minutes

__

<h3>time to 80°C</h3>

Solving for t when f(t) = 80, we find ...

  80 = 20 +160(1/2)^(t/20)

  3/8 = (1/2)^(t/20) . . . . . subtract 20, divide by 160

  20×log(3/8)/log(1/2) = t ≈ 28.3 . . . take logarithms, divide by coefficient of t

It will take about 28.3 minutes to cool to 80°C.

__

<h3>temp at 45 minutes</h3>

The temperature after 45 minutes is ...

  f(45) = 20 +160(1/2)^(45/20)

  f(45) ≈ 53.6 . . . . degrees C

After 45 minutes the temperature of the soup will be about 53.6°C.

3 0
1 year ago
Read 2 more answers
graph the solution to the following system of inequalities y&lt;-2x+7, y greater than or equal to 2x - 3 ​
Alex777 [14]

Answer:

See attached diagram

Step-by-step explanation:

Graph the solution of the inequality y First, draw the dotted line y=-2x+7 (dotted because the sign of the inequality is <). Then determine wich part of the coordinate plane should be shaded. Since the origin's coordinates satisfy the inequality, then this point should belong to the region (red part on the diagram).

Graph the solution of the inequality y\ge 2x-3. First, draw the solid line y=2x-3 (solid because the sign of the inequality is ≥). Then determine wich part of the coordinate plane should be shaded. Since the origin's coordinates satisfy the inequality, then this point should belong to the region (blue part on the diagram).

The intersection of both regions is the solution of the system of two inequalities.

6 0
3 years ago
**PLEASE HELP ILL MARK BRAINLIEST** Which of the following correctly represents y = 10x + 15
Vladimir [108]

Answer:

D

Step-by-step explanation:

Neither the table and the graph is correct.

7 0
3 years ago
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