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irinina [24]
3 years ago
6

A radio station plays 3 1/2 minutes of commercials every 1/4 hour. At this rate, how many minutes of commercials does this radio

station play in one hour?
Mathematics
1 answer:
mel-nik [20]3 years ago
5 0
14 minutes in one housr
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Evaluate dydx at x=2 for the function below.<br><br> y=6u^3+5u+2, where u=−3x^2−4x+9
bekas [8.4K]

Step-by-step explanation:

y = 6u {}^{3}  + 5u + 2

y = 6( - 3 {x}^{2}  - 4x + 9) {}^{3}  + 5( - 3 {x}^{2}  - 4x + 9) + 2

Use the chain rule.

\frac{dy}{dx}  = 6(3)( - 3 {x}^{2}  - 4x + 9) {}^{2} ( - 6x  -  4) + 5( - 6x - 4)

18( - 3 {x}^{2}  - 4x + 9) {}^{2} ( - 6x - 4) + 5( - 6x - 4)

Factor out -6x-4,

( - 6x - 4)(18( - 3 {x}^{2}  - 4x + 9) {}^{2}  + 5)

Know plug in x=-2 to evaluate the derivative

( - 6(2) - 4)(18( - 3(2) {}^{2}  - 4(2) + 9) {}^{2}  + 5)

( - 16)(18(( - 12) - 8 + 9)) {}^{2}  + 5)

- 16(18( - 11) {}^{2}  + 5)

- 16(2183)

- 34928

6 0
9 months ago
Order the ratios from least to greatest 6:3 13 to 4 19/2 15 to 10 8:2
Alik [6]
6:3 = 6/3 = 2

13 to 4 = 13:4 = 13/4 = 3.25

19/2 = 9.5

15 to 10 = 15:10 = 15/10 = 1.5

8:2 = 8/2 = 4

From the least to the greatest:

15 to 10 ,  6:3,  13 to 4,  19/2

I hope this explains it.
8 0
3 years ago
The statue of liberty is 305 feet tall. A nearby building is 4/9 as tall. Find the height of the building.
inysia [295]

Answer:

The nearby building is 135 \dfrac{5}{9} feet tall.

Step-by-step explanation:

The statue of liberty is 305 feet tall.

A nearby building is \dfrac{4}{9} as tall as the statue of liberty.

To find the height of the building, you need to find \dfrac{4}{9} of 305:

\dfrac{4}{9}\cdot 305=\dfrac{1,220}{9}= 135 \dfrac{5}{9}\ feet

Thus, the nearby building is 135 \dfrac{5}{9} feet tall.

5 0
2 years ago
If sin tetha=root3/2, what is cos tetha?​
Minchanka [31]

Answer:

The value of cos Ф is ± \frac{1}{2}

Step-by-step explanation:

There are important rules for sin Ф and cos Ф

  • sin²Ф + cos²Ф = 1
  • sin²Ф = 1 - cos²Ф
  • cos²Ф = 1 - sin²Ф

∵ sin Ф = \frac{\sqrt{3}}{2}

∴ sin²Ф = (\frac{\sqrt{3}}{2})^{2}

∴ sin²Ф = \frac{3}{4}

→ By using the third rule above

∵ cos²Ф = 1 - sin²Ф

∴ cos²Ф = 1 - \frac{3}{4}

∴ cos²Ф = \frac{1}{4}

→ Take square root for both sides

∴ cos Ф = ± \frac{1}{2}

∴ The value of cos Ф is ± \frac{1}{2}

6 0
3 years ago
While shopping at store, Billy
romanna [79]

Answer:

A. 270

Step-by-step explanation:

30% can be rewritten as 3/10

To multiply 900 by 3/10, just divide by 10 (90) and multiply by 3 (270)

Therefore, the answer is A. 270

Bonus: To find the actual price, just subtract this amount (270) from the original price (900).

The television costs $630.

3 0
2 years ago
Read 2 more answers
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