The other endpoint would be (4,1)
Answer:
x=3,y=7
Step-by-step explanation:
8x+3y=45
2x+3y=27
8x-2x=6x
45-27=18
<u>6</u><u>x</u><u>=</u><u>1</u><u>8</u>
6. 6
x=3
2x+3y=27
2(3)+3y=27
6+3y=27
3y=27-6
<u>3</u><u>y</u> = <u>2</u><u>1</u>
3. 3
y=7
Answer:
a. 54.05 Mpbs.
b. 2.745... standard deviations.
c. The z-score is 2.745....
d. The carrier's highest data speed is significantly high.
Step-by-step explanation:
a. The difference between the highest measured data speed and the mean is 72.6 - 18.55 = 54.05 Mbps.
b. The amount of standard deviations of 54.05 Mbps is equal to this value divided by the standard deviations, so we yield
standard deviations.
c. The z-score is equal to the difference between the mean and a data point in standard deviations, so the z-score is 2.745....
d. 2.745... is not between -2 and 2, so the carrier's highest data speed is not insignificant - so it's significantly high.
Answer:
![\log{\dfrac{3\sqrt{x}(x^3+4)}{2}}](https://tex.z-dn.net/?f=%5Clog%7B%5Cdfrac%7B3%5Csqrt%7Bx%7D%28x%5E3%2B4%29%7D%7B2%7D%7D)
Step-by-step explanation:
![\log{9}+\dfrac{1}{2}\log{x}+\log{(x^3+4)}-\log{6}=\log{\left(\dfrac{9x^{\frac{1}{2}}(x^3+4)}{6}\right)}\\\\=\boxed{\log{\dfrac{3\sqrt{x}(x^3+4)}{2}}}\qquad\text{matches choice A}](https://tex.z-dn.net/?f=%5Clog%7B9%7D%2B%5Cdfrac%7B1%7D%7B2%7D%5Clog%7Bx%7D%2B%5Clog%7B%28x%5E3%2B4%29%7D-%5Clog%7B6%7D%3D%5Clog%7B%5Cleft%28%5Cdfrac%7B9x%5E%7B%5Cfrac%7B1%7D%7B2%7D%7D%28x%5E3%2B4%29%7D%7B6%7D%5Cright%29%7D%5C%5C%5C%5C%3D%5Cboxed%7B%5Clog%7B%5Cdfrac%7B3%5Csqrt%7Bx%7D%28x%5E3%2B4%29%7D%7B2%7D%7D%7D%5Cqquad%5Ctext%7Bmatches%20choice%20A%7D)
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The applicable rules of logarithms are ...
log(ab) = log(a) +log(b)
log(a/b) = log(a) -log(b)
log(a^b) = b·log(a)
Answer:
35 Meters
Step-by-step explanation:
Ratio is 12
What I mean by that is 2 turns into 24 because you multiply 12 to it. Same thing for 420, except for the fact that you divide it (working backwards). So 420 divided by 12 equals 35:) Enjoy your day