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Furkat [3]
3 years ago
8

HELP ME OUT PLEASE!!!!!!!!!!!!!!!!!!

Mathematics
1 answer:
galben [10]3 years ago
8 0
∠LKH corresponds to ∠FGK, as it is the angle on the line that crosses the parallel lines (an F angle).
Therefore, ∠LKH=25°
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Find the equation of the exponential function represented by the table below: above^^^^
Nikitich [7]

Answer:

Step-by-step explanation:

We will use 2 coordinates from the table along with the standard form for an exponential function to write the equation that models that data. The standard form for an exponential function is

y=a(b)^x where x and y are coordinates from the table, a is the initial value, and b is the growth/decay rate. I will use the first 2 coordinates from the table: (0, 3) and (1, 1.5)

Solving first for a:

3=a(b)^0. Sine anything in the world raised to a power of 0 is 1, we can determine that

a = 3. Using that value along with the x and y from the second coordinate I chose, I can then solve for b:

1.5=3(b)^1. Since b to the first is just b:

1.5 = 3b so

b = .5

Filling in our model:

y=3(\frac{1}{2})^x

Since the value for b is greater than 0 but less than 1 (in other words a fraction smaller than 1), this table represents a decay function.

4 0
3 years ago
John is interested in purchasing a multi-office building containing five offices. The current owner provides the following proba
Elenna [48]

Answer:

Option B.

Step-by-step explanation:

The given table is:

Number of Lease Offices :  0           1         2       3        4         5

Probability                         : 5/18     1/4     1/9    1/18     2/9      1/12

The expected probability is

Expected probability = \sum_{i=0}^5 x_{i}p(x_i)

Expected probability = 0p(0)+1P(1)+2P(2)+3P(3)+4P(4)+5P(5)

Expected probability = 0\cdot (\frac{5}{18})+1\cdot (\frac{1}{4})+2\cdot (\frac{1}{9})+3\cdot (\frac{1}{18})+4\cdot (\frac{2}{9})+5\cdot (\frac{1}{12})=\frac{35}{18}

It is given that the yearly lease = $12,000.

The yearly leases for the whole building in a given year is

Yearly leases = \frac{35}{18}\times 12000=23333.3333333\approx 23333.33

Therefore, the correct option is B.

3 0
3 years ago
40081 in scientific notation
Maksim231197 [3]

4.0081 x 10 to the 4th power. I know because I did this one.

4 0
3 years ago
8.5 hours equal how many minutes
k0ka [10]

Answer:

510 minutes.

Step-by-step explanation:

<em>i hope this helped you! :)</em>

8 0
2 years ago
Read 2 more answers
Evaluate 3a+15+bc−6, when a=7, b=3, and c=15.<br><br> Enter your answer in the box.
melamori03 [73]
I think it's 75.
____________
5 0
3 years ago
Read 2 more answers
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