Hello there!
Let's use foil.
First: 4x * 2x = 8x^2
Outside: 4x * -9 = -36x
Inside: -7 * 2x = -14x
Last: -7 * -9 = 63
Now, let's combine these.
8x^2 - 36x - 14x + 63
Finally, we can simplify this
8x - 50x + 63
I hope I helped!
Let me know if you need anything else!
~ Zoe
Answer:
67.97
Step-by-step explanation:
let AC be length of ladder and BC be distance between ladder and wall and angle be theta
Now,
costheta=BC/AC
THETA =COS^-1(3÷8)
THETA=COS^-1(0.375)
THETA=67.97 DEGREE
A=number of seats in section A
B=number of seats in section B
C=number of seats in section C
We can suggest this system of equations:
A+B+C=55,000
A=B+C ⇒A-B-C=0
28A+16B+12C=1,158,000
We solve this system of equations by Gauss Method.
1 1 1 55,000
1 -1 -1 0
28 16 12 1,158,000
1 1 1 55,000
0 -2 -2 -55,000 (R₂-R₁)
0 12 16 382,000 (28R₁-R₂)
1 1 1 55,000
0 -2 -2 -55,000
0 0 4 52,000 (6R₂+R₃)
Therefore:
4C=52,000
C=52,000/4
C=13,000
-2B-2(13,000)=-55,000
-2B-26,000=-55,000
-2B=-55,000+26,000
-2B=-29,000
B=-29,000 / -2
B=14,500.
A + 14,500+13,000=55,000
A+27,500=55,000
A=55,000-27,500
A=27,500.
Answer: there are 27,500 seats in section A, 14,500 seats in section B and 13,000 seats in section C.
Answer:
<em>The monthly payment is $450.71</em>
Step-by-step explanation:
<u>Financial Computing
</u>
Given the loan amount A, the loan term t, and the APR (annual percentage rate), the montly payment is computed as
where f is
The provided data is
Since the payments will be made monthly, the values of n and i are:
Calculating f:
Now for the payments:
The speed of the wave given by the wave equation y(x,t) = (9.13 mm) sin[(6.65 m-1)x - (5.52 s-1)t] is 0.83 m/s
<h3>How to find the speed of the wave?</h3>
The speed of a wave given the equation of the wave y'(x,t) = Asin(kx - ωt) is given by v = ω/k where
- ω = angular speed of wave and
- k = wave number
Given that the wave equation is y(x,t) = (9.13 mm) sin[(6.65 m-1)x - (5.52 s-1)t] and comparing it with y' above, we have that
- k = wave number = 6.65 m⁻¹ and
- ω = angular speed = 5.52 s⁻¹
Since the speed of the wave v = ω/k, substituting the values of the variables into the equation, we have
v = ω/k
v = 5.52 s⁻¹/6.65 m⁻¹
v = 0.83 m/s
So, the speed of the wave given by the wave equation y(x,t) = (9.13 mm) sin[(6.65 m-1)x - (5.52 s-1)t] is 0.83 m/s
Learn more about speed of a wave here:
brainly.com/question/25141502
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