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krok68 [10]
3 years ago
14

How many terms are in the binomial expansion of (3x 5)9?

Mathematics
2 answers:
Yuki888 [10]3 years ago
8 0

the answer is C , 10

Brrunno [24]3 years ago
8 0

Answer:  The number of terms in the binomial expansion of (3x-5)^9 is 10.

Step-by-step explanation:  We are given to find the number of terms in the following binomial expansion:

B=(3x-5)^9~~~~~~~~~~~~~~~~~~~~~(i)

We know that

the number of terms in the binomial expansion of (x+y)^pis given by

N_t=p+1.

In the given binomial expansion (i), we have

p=9.

Therefore, the number of terms in the given binomial expansion will be

N_t=p+1=9+1=10.

Thus, there are 10 terms in the binomial expansion of (3x-5)^9.

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April shoots an arrow upward at a speed of 80 ft/sec from a platform of 25 ft. High. The pathway of the arrow can be represented
soldi70 [24.7K]

Answer:

125feet

Step-by-step explanation:

Given the equation that modeled the height expressed as h = -16t^2 + 80t + 25, where h is the height and t is the time in seconds.

The arrow reaches the maximum height at dh/dt = 0

dh/dt = -32t + 80

0= -32t+80

32t = 80

t = 80/32

t = 2.5secs

substitute t = 2.5 into the formula;

h = -16t^2 + 80t + 25

h = -16(2.5)^2 + 80(2.5) + 25

h = -16(6.25)+225

h = -100+225

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Hence the maximum height the arrow reaches is 125feet

4 0
3 years ago
I need help ASAP please
Solnce55 [7]

Answer:

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Step-by-step explanation:

The area of a triangle is equal to the base times the height divided by two. In this case, the base is 6 (or x, it doesn't really matter) and the height is x (or 6, it doesn't matter). That means that the area of this triangle is equal to 6 * x divided by 2, which is also equal to 18. we can say that 6x/2 = 18, meaning that 6x = 36, so x = 6.

6 0
2 years ago
What square root is closest to 5
nikklg [1K]

Answer: 2.236

Step-by-step explanation: The square root of 5 is expressed as √5 in the radical form and as (5)½ or (5)0.5 in the exponent form. The square root of 5 rounded up to 5 decimal places is 2.23607. It is the positive solution of the equation x2 = 5.

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In the high jump event at the city track meet ronald successfully jumped 4 feet and 6 inches. Luis successfully jumped 3 feet an
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Answer:

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Step-by-step explanation:

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