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icang [17]
3 years ago
5

Is 7x-y-6 independent

Mathematics
1 answer:
Liula [17]3 years ago
8 0
Yes it is, im 95% sure
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What is the momentum of each hockey player? Hockey player 1 has a mass of 65 kg and a velocity of 3.8 m/s
DaniilM [7]

Answer:

Momentum of  hocking player 1: 247\ kg\ m/s

Hockey player 2: =249.4\ kg\ m/s

Step-by-step explanation:

For first hockey player :

Given that

mass (m) =65\ kg

Velocity (v) =3.8\ m/s

p=mv\................(1)

where p is momentum

put the value in equation (1)

p=65\times3.8\\\\p=247kg\times m/s

For second hockey player :

Given that

mass (m) =58\ kg

velocity (v) =4.3\ m/s

p=mv\ ...............(2)

Where p is momentum

put the value in equation (2)

p=58\times4.3\\p=249.4\ kg\times m/s

6 0
3 years ago
Find the area of the following regions, expressing your results in terms of the positive integer n ≥ 2. The region bounded by
cluponka [151]

Answer:

The area of the searched region is A= a+b+ \frac{2n}{n+1}- \frac{n(a^{\frac{n+1}{n} }+b^{\frac{n+1}{n} }) }{n+1}-2

Step-by-step explanation:

If you want to find the area of a region bounded by functions f(x) and G(x) between two limits (a,b), you have to do a double integral. you must first know which of the functions is greater than the other for the entire domain.

In this case, for 0<x<1, f(x)<g(x)

while for 1<x, g(x)<f(x).

Therefore if our domain is all real numbers superior to 0 (where the limit 0<a<1 and 1<b), we have to do 2 integrals:

A=A(a<x<1)+A(1<x<b)

A(a

A(1

A=a-1 +\frac{n}{n+1} - \frac{na^{\frac{n+1}{n} } }{n+1} +  b-1 + \frac{n}{n+1} - \frac{nb^{\frac{n+1}{n} } }{n+1} = a+b+ \frac{2n}{n+1}  - \frac{n(a^{\frac{n+1}{n} }+b^{\frac{n+1}{n} }) }{n+1}   -2

3 0
3 years ago
Which shows the correct substitution of the values a, b, and c from the equation 1 = -2x + 3x2 + 1 into the quadratic
lidiya [134]

Answer: A

Step-by-step explanation:

The first thing we need to do is to make sure our equation is in standard form. The given equation is not in standard form.

3x²-2x=0

Now that the equation is in standard form, we can find our A, B, C to see which quadratic equation is correct.

A=3

B=-2

C=0

We can automatically eliminate D because the first value is -3 when it is supposed to be -(-2). Also, the denominator is supposed to be 2a. We know that A=3. The denominator should be 2(3), not 2(-2).

Next, we can eliminate B and C. For the 4ac, we know it has to be 4(3)(0) because A=3 and C=0. B and C have given 4(3)(2) and 4(3)(1), respectively. This does not match A=3 and C=0.

Therefore, A is the correct answer.

4 0
4 years ago
Given the following information, find the length of the missing side. Leave your answer as a simplified radical.
Mkey [24]

Answer:

7√3

Step-by-step explanation:

Given the following information,

Short = 7 = Opposite

Angle of elevation =30 degrees

Required

Long (Adjacent)

Using SOH CAH TOA identity

tan theta = 7/long

tan 30 = 7/long

long = 7/tan30

long= 7/1/√3

long = 7√3

Hence the long is 7√3

8 0
3 years ago
Find r(t) if r'(t) = 5t4i + 6t5j + t k and r(1) = i + j.
Vladimir [108]
\mathbf r(t)=\displaystyle\int(5t^4\,\mathbf i+6t^5\,\mathbf j+t\,\mathbf k)\,\mathrm dt
\mathbf r(t)=(t^5+C_1)\,\mathbf i+(t^6+C_2)\,\mathbf j+\left(\dfrac12t^2+C_3\right)\,\mathbf k

Given \mathbf r(1)=\mathbf i+\mathbf j, we have

\begin{cases}1^5+C_1=1\\\\1^6+C_2=1\\\\\dfrac121^2+C_3=0\end{cases}\implies C_1=0,C_2=0,C_3=-\dfrac12

so that the particular solution is

\mathbf r(t)=t^5\,\mathbf i+t^6\,\mathbf j+\dfrac12(t^2-1)\,\mathbf k
8 0
3 years ago
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