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brilliants [131]
3 years ago
5

Which of the following is equal

Mathematics
1 answer:
Bezzdna [24]3 years ago
4 0

Answer:

C

Step-by-step explanation:

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Solve for x <br><br> (5√3)^x+(10√3)^(x-10)=84
Olenka [21]

9514 1404 393

Answer:

  x = 20

Step-by-step explanation:

We can define z = 3^(x/10). Then the equation is quadratic, which we can solve by completing the square. X can be found from the positive solution for z.

  z^2+\dfrac{1}{3}z=84\\\\z^2+\dfrac{1}{3}z+\dfrac{1}{36}=84\dfrac{1}{36}\\\\(z+\dfrac{1}{6})^2=(9\dfrac{1}{6})^2\\\\z=9\dfrac{1}{6}-\dfrac{1}{6}=9\\\\z=3^{\frac{x}{10}}=3^2\\\\x=10\cdot2\\\\\boxed{x=20}

8 0
3 years ago
You have $44000 in a savings account that pays 2% annual interestand the inflatation rate is 3.24%. How much buying power in dol
puteri [66]
At the end of the year ...
   the price will be 44,000*1.0324 = 45,425.60
   the bank balance will be 44,000*1.02 = 44,880.00

This is 545.60 fewer dollars than required to pay the price.

You lose $545.60 in current-year buying power.
4 0
3 years ago
I really don't understand this. plzz help
Vsevolod [243]

Answer:

x = 25

Step-by-step explanation:

In any triangle, the sum of all 3 angles is ALWAYS 180 degrees. So we can make this into an equation.

4x + 2x+ 10 + x - 5 = 180

Now we combine the like terms.

7x + 5 = 180

Subtract 5 from both sides.

7x = 175

Now divide by 7 on both sides.

x = 25

8 0
4 years ago
What is the length of the hypotenuse in a right triangle? ​
Whitepunk [10]

Answer:

the square of the length of the hypotenuse equals the sum of the squares of the lengths of the other two sides.

3 0
2 years ago
I need help.......<br>How many right angles need to be put together to make:<br>360 degrees?
kari74 [83]

Answer:

4 right angles.

Step-by-step explanation:

1 right angle: 90 degrees

360/90= 4

6 0
3 years ago
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