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Nastasia [14]
2 years ago
15

The function h(t) = 210 – 15t models the altitude of a hot air balloon over time t, in minutes. Explain what h(10) means in the

context of the real-world scenario, and how to find its value.
Mathematics
2 answers:
Elina [12.6K]2 years ago
4 0
H(10) represents the altitude of the hot air balloon after 10 minutes' change. In this case, at the beginning, the hot air balloon is at an altitude of 210, unit unknown, every minute it decreases by 15. 
h(10)=210-15*10=60
10 minutes later it is at an altitude of 60
rosijanka [135]2 years ago
3 0
 t<span> represents time, which is the input of the function, so we know that 10 is the time in minutes. </span>h(t<span>) represents the altitude, which is the output of the function after time, </span>t. So, we need to substitute 10 into 210 – 15t<span> in place of </span>t<span>. Simplifying 210 – 15(10), we get  that 60 is the altitude in feet. So, after 10 minutes, the hot air balloon is at 60 feet. </span>
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Use the binomial theorem to find the coefficient of xayb in the expansion of (5x2 + 2y3)6, where a) a = 6, b = 9. b) a = 2, b = 15.
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Answer:

Step-by-step explanation:

                    1

                1      1

            1      2      1

         1     3      3      1

      1    4     6       4       1

   1   5    10     10       5     1

 1    6   15   20      15    6     1

1    6   15   20      15    6     1

we use these for the expansion of (5x² + 2y³)⁶

1(5x²)⁶(2y³)⁰ + 6(5x²)⁵(2y³)¹ + 15(5x²)⁴(2y³)² + 20(5x²)³(2y³)³+  15(5x²)²(2y³)⁴+ 6(5x²)¹(2y³)⁵ + 1(5x²)⁰(2y³)⁶

78125ₓ¹²+187500ₓ¹⁰ y³ +37500ₓ⁸y⁶+20000ₓ⁶y⁹+6000x⁴y¹²+960x²y¹⁵+2y¹⁸

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b) a = 2, b = 15. the coefficient of xᵃyᵇ ( 960x²y¹⁵) = 960

c) a = 3, b = 12. the coefficient of xᵃyᵇ is not present

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e) a = 8, b = 9. the coefficient of xᵃyᵇ is not present

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2 years ago
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1. Draw an accurate picture of the triangle in the coordinate axes, as shown in the attached picture.<span>

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<span>3. The area of the triangle ABC is  The area of the rectangle - Area 1- Area 2- Area 3.</span>

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5 0
1 year ago
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Answer:

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