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Alex787 [66]
2 years ago
12

you find an apartment on Craigslist that is advertised as having an area of 700 square feet. How big is the apartment in square

yards? Round to the nearest tenths place. (5 pts) Hint: I yd 3 ft 1 yd 3 ft​
Mathematics
1 answer:
skelet666 [1.2K]2 years ago
3 0

Answer:

x = 77.8 square yards

Step-by-step explanation:

Given the following data;

Area = 700 square feet

To find the area in square yards;

Conversion:

1 yard = 3 feet

1 square yard = 9 square feet

x square yard = 700 square feet

Cross-multiplying, we have;

700 = 9x

x = 700/9

x = 77.8 square yards

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zheka24 [161]

SOLUTION

We have been given the equation of the decay as

\begin{gathered} N=N_0e^{-kt} \\ where\text{ } \\ N_0=initial\text{ amount of C-14 at time t} \\ N=amount\text{ of C-14 at time t = 65\% of N}_0=0.65N_0 \\ k=0.0001 \\ t=time\text{ in years = ?} \end{gathered}

So we are looking for the time

Plugging the values into the equation, we have

\begin{gathered} N=N_0e^{-kt} \\ 0.65N_0=N_0e^{-0.0001t} \\ e^{-0.0001t}=\frac{0.65N_0}{N_0} \\ e^{-0.0001t}=0.65 \end{gathered}

Taking Ln of both sides, we have

\begin{gathered} ln(e^{-0.000t})=ln(0.65) \\ -0.0001t=ln(0.65) \\ t=\frac{ln(0.65)}{-0.0001} \\ t=4307.82916 \end{gathered}

Hence the answer is 4308 to the nearest year

8 0
9 months ago
Identify the factor terms by grouping: 5x3 – 4x2 + 20x – 16
jek_recluse [69]

Answer:

The answer is D

Step-by-step explanation:

All you have to do is distribute.

x^2(5x-4)+4(5x-4) =

5x^3-4x^2+20x-16

7 0
3 years ago
Please answer correctly
Afina-wow [57]

Answer:

2nd and 4th options

Step-by-step explanation:

both answers begin with a fixed point drawn with a straight line through a point that continues on by showing an arrow

3 0
2 years ago
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Perform (3x3 – 2x2 + 3x – 4) ÷ (x – 3) to find the value of the remainder.
irakobra [83]
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Given that m angle G- 81", what is m angle I?<br> A)81"<br> B)89<br> C)91<br> D)99
seraphim [82]

Answer:

\text{D) }99^{\circ}

Step-by-step explanation:

Define a cyclic quadrilateral by a quadrilateral that is circumscribed by a circle. In this case, since the quadrilateral shown is circumscribed by a circle, it is a cyclic quadrilateral.

A property of all cyclic quadrilaterals is that their opposite angles are supplementary, meaning they add up to 180 degrees. Since \angle G and \angle I are opposite angles in the quadrilateral, they must be supplementary. Therefore, we have the equation:

\angle G+\angle I=180,\\81^{\circ}+\angle I=180,\\\angle I=180-81=\boxed{99^{\circ}}

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