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Alika [10]
3 years ago
7

Simplify the following completely, show all work.4 + ✓-27​

Mathematics
1 answer:
V125BC [204]3 years ago
8 0

Answer:

4+3i\sqrt{3}

Step-by-step explanation:

the \sqrt{-27} needs to be simplified

first, I broke it down to\sqrt{-1} and \sqrt{27}

\sqrt{-1} simplifies to i ;and  can be broken down to \sqrt{9} and \sqrt{3}

\sqrt{9} can be simplified further to 3

Now all you have to do is put it together

4(which you didnt have to do anything to)+ 3i( 3 from the sqrt of 9 and i from the sqrt of -1) sqrt 3( which cant be simplified further)

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You lose 3 pounds per week on your new diet. What integer represents the change in your weight after 3 weeks
horsena [70]
Hello,

If you lose 3 pounds per week, after 3 weeks you lose (3)(3) = 9 pounds.

The change in your weight is represented by the integer 9 (pounds).

Hope this helps!

3 0
3 years ago
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A factory produces 80,000 candies each day. They produce equal quauntities of four flavors cherry lemon orange and strawberry. T
Stells [14]

Answer: \dfrac14

Step-by-step explanation:

Given: The factory produces equal quantities of four flavors cherry lemon orange and strawberry.

Let  orange candy= cherry = lemon = strawberry  = x

Total candies = x + x + x + x= 4x

The probability that a randomly selected candy is orange = \dfrac{x}{4x}=\dfrac14

Hence, the probability that a randomly selected candy is orange = \dfrac14

3 0
3 years ago
Im not sure about this im confused
Maru [420]

Answer:

Step-by-step explanation:

8 0
3 years ago
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Find the exponential function that passes through the points (2,80) and (5,5120)​
juin [17]

Answer:

  y = 5·4^x

Step-by-step explanation:

If you have two points, (x1, y1) and (x2, y2), whose relationship can be described by the exponential function ...

  y = a·b^x

you can find the values of 'a' and 'b' as follows.

Substitute the given points:

  y1 = a·b^(x1)

  y2 = a·b^(x1)

Divide the second equation by the first:

  y2/y1 = ((ab^(x2))/(ab^(x1)) = b^(x2 -x1)

Take the inverse power (root):

  (y2/y1)^(1/(x2 -x1) = b

Use this value of 'b' to find 'a'. Here, we have solved the first equation for 'a'.

  a = y1/(b^(x1))

In summary:

  • b = (y2/y1)^(1/(x2 -x1))
  • a = y1·b^(-x1)

__

For the problem at hand, (x1, y1) = (2, 80) and (x2, y2) = (5, 5120).

  b = (5120/80)^(1/(5-2)) = ∛64 = 4

  a = 80·4^(-2) = 80/16 = 5

The exponential function is ...

  y = 5·4^x

3 0
3 years ago
There is 3 4 of an apple pie left from dinner. Tomorrow, Victor plans to eat 1 4 of the pie that was left. Enter how much of the
lora16 [44]

Answer:

3/16

Step-by-step explanation:

Let the size of the whole apple be T

Given that 3/4 of the apple is left, it means the size left

= 3T/4

Since Victor plans to eat 1/4 of the pie that was left, this amounts to

1/4 * 3T/4

= 3T/16

This means that Victor will eat 3/16 of the whole pie tomorrow

5 0
3 years ago
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