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densk [106]
3 years ago
12

PLEASE HELP!!find x​

Mathematics
1 answer:
Natalija [7]3 years ago
8 0

Answer:

\frac{7}{2}\sqrt{3}

Step-by-step explanation:

the ratio of hypotenuse to longer leg of 30-60-90 triangle is 1 to sqrt(3)/2, and multiply by 7 to obtain answer

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Find the term indecent of x in the expansion of (x^2-1/x)^6
Mars2501 [29]

By the binomial theorem,

\displaystyle \left(x^2-\frac1x\right)^6 = \sum_{k=0}^6 \binom 6k (x^2)^{6-k} \left(-\frac1x\right)^k = \sum_{k=0}^6 \binom 6k (-1)^k x^{12-3k}

I assume you meant to say "independent", not "indecent", meaning we're looking for the constant term in the expansion. This happens for k such that

12 - 3k = 0   ===>   3k = 12   ===>   k = 4

which corresponds to the constant coefficient

\dbinom 64 (-1)^4 = \dfrac{6!}{4!(6-4)!} = \boxed{15}

3 0
3 years ago
The county fair charges 1.00 per ride and additional 3.00 to get in. Write an equation to represent the total cost of attending
Paraphin [41]
1(x)+3=total cost
x=the number of rides you go on
7 0
3 years ago
I don’t know how to type it out so here’s the picture.
jarptica [38.1K]
It’s the third one

i plugged two in for x to double check and it’s right
3 0
3 years ago
Composition of the function is commuatative
dimulka [17.4K]

Answer:

The functions g and f are said to commute with each other if g ∘ f = f ∘ g. Commutativity is a special property, attained only by particular functions, and often in special circumstances. For example, |x| + 3 = |x + 3| only when x ≥ 0. ... The composition of one-to-one functions is always one-to-one.

\

4 0
4 years ago
José left Westcliffe on his bicycle riding at an average rate of 8 miles per hour five hours before his father left by automobil
Serga [27]

Answer:

48 miles per hour

Step-by-step explanation:

José left Westcliffe on his bicycle riding at an average rate of 8 miles per hour five hours before his father left by automobile. The father overtook José in exactly one hour. This means Jose was riding

5 hours + 1 hour = 6 hours.

Use formula

D=r\cdot t,

where

D = distance

r = rate

t = time

In Jose's case,

D = unknown

r = 8 miles per hour

t = 6 hours

Hence,

D=8\cdot 6=48\ miles

In Jose's father case,

D = 48 miles

r = unknown

t = 1 hour (father overtook José in exactly one hour)

Hence,

48=r\cdot 1\\ \\r=48\ miles \ per \ hour

4 0
4 years ago
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