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topjm [15]
3 years ago
13

An office building has 123 floors. The floors are 3.8m apart.

Mathematics
1 answer:
sineoko [7]3 years ago
3 0

Answer:

345.8 meters

Step-by-step explanation:

Given that :

Distance between floors = 3.8 m apart

Moving from floor 32 to the top

Number of floors moved = 123 - 32 = 91 floors

Distance traveled :

Distance between floors * number of floors moved

3.8 m * 91 = 345.8 meters

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What is the derivative of the following function? f(x) = 4x^6/cos^5(x)
KIM [24]

Answer:

f'(x) = \frac{24x^{5} \cos x + 20x^{6}\sin x}{\cos^{6}x }

Step-by-step explanation:

We have to find the derivative of the following function:

f(x) = \frac{4x^{6} }{\cos^{5} x }

Now, differentiating both sides with respect to x we get,

f'(x) = \frac{\cos^{5}x (24x^{5}) - 4x^{6}(5\cos^{4}x )(- \sin x)}{(\cos^{5}x )^{2}}

⇒ f'(x) = \frac{ 24x^{5} \cos x + 20 x^{6}\sin x}{\cos^{6}x } (Answer)

{Since, we know that, \frac{d(mx^{n} )}{dx} = m \times n x^{(n - 1)} and \frac{d(\cos^{n} x)}{dx} = n \cos^{(n - 1)} x(- \sin x) }

5 0
4 years ago
What is the yield on a corporate bond with a $1000
White raven [17]

The yield on the corporate bond of a face value of $1000 is 7.77%.

What is the percentage discount?

The percentage discount is the discount given on a product as compared to the given discount on 100 rupees.

Given, the face value of the bond is $1000.

Discounted price of the bond is $900.

Therefore, the fixed interest on the bond for that period will be

= $1000 × 7/100 = $70.

Now, the yield on that corporate  bond = 70 × 100/900 % = 7.77% .

Hence, the yield on the corporate bond of a face value of $1000 is 7.77%.

Learn more about percentage discount here:

brainly.com/question/26178186

#SPJ4

5 0
1 year ago
I need help with this question ASAP!!!
alex41 [277]
I’m not sure sorry also it past due
4 0
3 years ago
If UV = 21 and UX = 13, what Is UW?​
Nimfa-mama [501]

Answer:

17

Step-by-step explanation:

3 0
3 years ago
F(x) = x4 - x3 - 2x- 4 factor the polynomial function over the complex numbers
olchik [2.2K]

Answer:

<u>f(x) = = (x + √2 i) (x - √2 i) (x - 2 ) (x + 1)</u>

Step-by-step explanation:

The given function is f(x) = x⁴ - x³ -2x -4

factor the polynomial function

f(x) = x⁴ - x³ -2x -4 = (x⁴ - 4) - (x³ + 2x )  ⇒ take (-) as a common from (- x³ -2x)

     = (x² + 2 ) (x² - 2) - x (x² + 2)   ⇒ take (x² + 2)  as a common

     = (x² + 2 ) ( x² - x - 2)

     = (x + √2 i) (x - √2 i) (x -2 ) ( x+1)

Notes:  (x⁴ - 4) = (x² + 2 ) (x² - 2)

            (x² + 2)= (x + √2 i) (x - √2 i)

            ( x² - x - 2) = (x -2 ) ( x+1)

8 0
3 years ago
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