Answer:
It takes 85 seconds to go 12.75 miles
Step-by-step explanation:
We are given
An airplane is flying from New York City to Los Angeles
the distance it travels in Miles D is related to the time in seconds T by the equation
![d=0.15T](https://tex.z-dn.net/?f=d%3D0.15T)
we are given to find time when distance is 12.75 miles
so, we can set d=12.75
and then we can solve for T
![12.75=0.15T](https://tex.z-dn.net/?f=12.75%3D0.15T)
We can divide both sides by 0.15
![T=\frac{12.75}{0.15}](https://tex.z-dn.net/?f=T%3D%5Cfrac%7B12.75%7D%7B0.15%7D)
![T=85](https://tex.z-dn.net/?f=T%3D85)
So,
It takes 85 seconds to go 12.75 miles
Answer:
![\large \boxed{2}](https://tex.z-dn.net/?f=%5Clarge%20%5Cboxed%7B2%7D)
Step-by-step explanation:
The formula for the nth term of a geometric sequence is
aₙ = a₁rⁿ⁻¹
In your geometric sequence, a₁ = 4 and a₁₃ = 16 384.
![\begin{array}{rcl}16384 & = & 4r^{(13 - 1)}}\\16384 & = & 4r^{12}\\4096 & = & r^{12}\\3.6124 & = & 12 \log r\\0.30102 & = & \log r\\r & = & 10^{0.30102}\\ & = & \mathbf{2}\\\end{array}\\\text{The common ratio is $\large \boxed{\mathbf{2}}$}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Brcl%7D16384%20%26%20%3D%20%26%204r%5E%7B%2813%20-%201%29%7D%7D%5C%5C16384%20%26%20%3D%20%26%204r%5E%7B12%7D%5C%5C4096%20%26%20%3D%20%26%20r%5E%7B12%7D%5C%5C3.6124%20%26%20%3D%20%26%2012%20%5Clog%20r%5C%5C0.30102%20%26%20%3D%20%26%20%5Clog%20r%5C%5Cr%20%26%20%3D%20%26%2010%5E%7B0.30102%7D%5C%5C%20%26%20%3D%20%26%20%5Cmathbf%7B2%7D%5C%5C%5Cend%7Barray%7D%5C%5C%5Ctext%7BThe%20common%20ratio%20is%20%24%5Clarge%20%5Cboxed%7B%5Cmathbf%7B2%7D%7D%24%7D)
Check:
![\begin{array}{rcl}16384 & = & 4(2)^{12}\\16384 & = & 4(4096)\\16384 & = & 16384\\\end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Brcl%7D16384%20%26%20%3D%20%26%204%282%29%5E%7B12%7D%5C%5C16384%20%26%20%3D%20%26%204%284096%29%5C%5C16384%20%26%20%3D%20%26%2016384%5C%5C%5Cend%7Barray%7D)
It checks.
Answer:
the required expression equivalent to the area of the square A in inches is (10² + 24²).
Step-by-step explanation:
Answer:
(-7,4)
Step-by-step explanation:
goal: (y-k)^2=4p(x-h)
y^2-8y=4x+12 Rearranged and added 4x and 12 on both sides
y^2-8y+(-8/2)^2=4x+12+(-8/2)^2 complete square time (add same thing on both sides)
y^2-8y+(-4)^2=4x+12+(-4)^2 (simplify inside the squares)
(y-4)^2=4x+12+16 (now write the left hand side as a square)
(y-4)^2=4x+28
(y-4)^2=4(x+7) factored...
vertex is (-7,4)
Answer:
47
Step-by-step explanation:
if there are 100 total and 45 are girls, then there are 55 boys enrolled. since 8 are absent- 55-8=47