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VashaNatasha [74]
3 years ago
15

-5(k + 6) + 7(k – 4)

Mathematics
1 answer:
sergiy2304 [10]3 years ago
5 0

Answer:

2k-58

Step-by-step explanation:

-5(k+6) + 7(k-4)

-5k-30+7k-28

2k-48

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J time sixteen equals thirty five.
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I’m terms of 12 in is the correct answer.
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Let f ( ) sin(arctan ) x x = . What is the range of f ?
nikklg [1K]
<span>So you have composed two functions,
</span><span>h(x)=sin(x) and g(x)=arctan(x)</span>
<span>→f=h∘g</span><span>
meaning
</span><span>f(x)=h(g(x))</span>
<span>g:R→<span>[<span>−1;1</span>]</span></span>
<span>h:R→[−<span>π2</span>;<span>π2</span>]</span><span>
And since
</span><span>[−1;1]∈R→f is defined ∀x∈R</span><span>

And since arctan(x) is strictly increasing and continuous in [-1;1] ,
</span><span>h(g(]−∞;∞[))=h([−1;1])=[arctan(−1);arctan(1)]</span><span>
Meaning
</span><span>f:R→[arctan(−1);arctan(1)]=[−<span>π4</span>;<span>π4</span>]</span><span>
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5 0
3 years ago
Upon descent, an airplane is 20,000 feet above the ground. The air traffic control tower is 200 feet tall. It is determined that
PIT_PIT [208]

Answer:

Base length of plane from control tower = 73,880 feet (Approx.)

Step-by-step explanation:

Given:

Height of plane from ground = 20,000 feet

Height of control tower = 200 feet

Angle of elevation from control tower = 15°

Find:

Base length of plane from control tower

Computation:

Height of plane from control tower = 20,000 - 200

Height of plane from control tower = 19,800 feet

Tan θ = Perpendicular / Base

Tan15 = 19,800 / Base length of plane from control tower

0.268 = 19,800 / Base length of plane from control tower

Base length of plane from control tower = 73,880 feet (Approx.)

6 0
3 years ago
Suppose that you are a member of this arbitration panel. Construct a 95% confidence interval for the true mean return of the inv
lisabon 2012 [21]

Answer:      Margin of Error = 1.944

                    Lower Bound = 3.052

Explanation:-

Attached below is a file for monthly Rate of return. Used an excel sheet to determine the confidence interval which seems relatively easier as compared to manual computation. The range below (A2:A40) shows the monthly

Functions used : Standard Deviation as= STDEV (A2:A40)

                             Sample Mean = AVERAGE(A2:A40)

                             Margin of Error = CONFIDENCE.T(D4,D5,D2)

                              Lower Bound Interval = D6-D7 = -3.052

                           

3 0
4 years ago
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