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Romashka [77]
3 years ago
7

Fill in the blank to make the expression a perfect square u² - 14 u +

Mathematics
1 answer:
MissTica3 years ago
3 0

12 beacause it is what it is jk im just put anything fr the challenges plz rate me 5 stars

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I don't understand this geometry
Dmitry [639]
They are complementary because if you were to put them on top of one another they'd line up. (same degree measurement)
3 0
3 years ago
Angus has $3,000 he want to invest. What interest rate compounded continuously does an account need to offer so that Angus has $
kaheart [24]

Answer:

The interest rate is 7.58%

Step-by-step explanation:

Compound continuous interest can be calculated using the formula:

A = Pe^{rt}, where

  • A is the future value of the investment, including interest
  • P is the principal investment amount (the initial amount)
  • r is the interest rate  in decimal
  • t is the time the money is invested for

∵ Angus has $3,000 he want to invest

∴ P = 3000

∵ The interest rate is compounded continuously

∵ Angus has $5,500 in 8 years

∴ A = 5500

∴ t = 8

→ Substitute them in the rule above to find r

∵ 5500 = 3000e^{8r}

→ Divide both sides by 3000

∴ \frac{11}{6} = e^{8r}

→ Insert ㏑ in both sides

∵ ㏑( \frac{11}{6} ) = ㏑(e^{8r})

→ Remember ㏑(e^{n}) = n

∴ ㏑( \frac{11}{6} ) = 8r

→ Divide both sides by 8

∴ 0.07576697545 = r

→ Multiply it by 100% to change it to a percentage

∴ r = 0.07576697545 × 100%

∴ r = 7.576697545 %

→ Round it to the nearest hundredth

∴ r ≅ 7.58

∴ The interest rate is 7.58%

3 0
2 years ago
Solve similar triangles (advanced)
SCORPION-xisa [38]

Answer:

  x = 9/4

Step-by-step explanation:

Locate point G on segment DE so that DG = 1 and GE = 4. CG is parallel to AD, so ΔCGE ~ ΔABC. Corresponding sides are proportional.

  AB/BC = CG/GE

  x/1 = 9/4

  x = 9/4

_____

<em>Additional comment</em>

Using the given triangles, you can write the proportion statement as ...

  (9+x)/x = 5/1

We judge this to take more steps to solve, so we prefer the method shown above.

3 0
2 years ago
After 8/15 of an hour, Jane has completed painting 3/5 of the wall. At this rate, how much of the wall will she finish painting
LuckyWell [14K]

Answer:

Step-by-step explanation:

Find the unit rate for this painting:

 3/5 of wall surface            3/5              15            9

------------------------------- = --------------- * --------- = -----------

         (8/15) hour                 8/15             15             8

Jane could actually paint the whole wall plus 1/8 more of it in one hour.

5 0
2 years ago
1. Which of the following equations would not
Katen [24]
I think it’s “c” y=2x+8




5 0
3 years ago
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