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grigory [225]
3 years ago
12

12. On a table there were 16 dimes and quarters. The value of the coins was

Mathematics
1 answer:
7nadin3 [17]3 years ago
6 0
6 quarters and 10 dimes
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H(t)=(t+3)^2+5 Over which interval does h have a negative average rate of change?
Yuri [45]

Answer:

( -∞, -3 ) or any subinterval of  ( -∞, -3 )

Step-by-step explanation:

h(t)=(t+3)^2+5 has the form

h(t) =(t-h)^2 + 5, indicating that h(t)=(t+3)^2+5 represents a parabola with vertex at (-3,5) that opens up.  This (-3,5) is the minimum point of the graph.

To the left of t = -3, h(t) is decreasing; to the right of t = -3, h(t) is increasing.

Thus, it is on any interval to the left of t = -3 that the rate of change of this function is negative (the function is decreasing  on ( -∞, -3 ).

4 0
3 years ago
Read 2 more answers
In a 30°-60°-90° triangle, the length of the hypotenuse is 30. Find the length of the longer leg.
Assoli18 [71]
<span>In a 30-60-90  triangle the side opposite the 30 degree angle is half the length of the hypotenuse. 
The shorter leg is </span>the side opposite the 30 degree angle, therefore
the shorter leg = 30/2 = 15

<span>By the Pythagorean theorem
</span><span>the longer leg = </span>√(30² - 15²) = √(900-225) = √675 = 15√3 ≈ 25.98 units
6 0
4 years ago
Please answer! Thanks!
Karo-lina-s [1.5K]

Answer:

26.4 m

Step-by-step explanation:

The sine of an angle is the ratio between the opposite side of the angle and the hypotenuse. Hence,

sin 40° = \frac{opposite}{hypotenuse}

            = \frac{17}{c}

         c = \frac{17}{sin40}

       <u>  c = 26.4 m (3 sf)</u>

7 0
3 years ago
I really need help it’s due in two days
Bumek [7]

Answer:

Step-by-step explanation:

The answer is "Impossible to solve" , because there is no rule for function at point x = 7 . The given function has domain ( - ∞ , 2 ) ∪ { 2 } ∪ ( 2 , 7 ) ⇒ 7 is not a part of domain!!!

8 0
3 years ago
An African elephant has a mass of 8139kg<br> The answer
Contact [7]

Answer:

sorry dear but I don't understand your question

8 0
3 years ago
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