This is an incomplete question, here is a complete question.
What is a peregrine falcon's maximum speed while diving to catch prey 200 miles per hour in feet per second? (Round your answer to the nearest whole number. (1 mile = 5280 feet)
Answer : The speed in feet per second is, 293 feet/s
Step-by-step explanation :
As we are given that the speed of peregrine falcon's is 200 miles per hour. Now we have to determine the speed in feet per second.
As we know that:
1 mile = 5280 feet
1 hour = 3600 second
So,
1 mile/hr = 1.4667 feet/s
As, 1 mile/hr = 1.4667 feet/s
So, 200 mile/hr = ![\frac{200\text{ mile/hr}}{1\text{ mile/hr}}\times 1.4667\text{ feet/s}](https://tex.z-dn.net/?f=%5Cfrac%7B200%5Ctext%7B%20mile%2Fhr%7D%7D%7B1%5Ctext%7B%20mile%2Fhr%7D%7D%5Ctimes%201.4667%5Ctext%7B%20feet%2Fs%7D)
= 293.34 feet/s ≈ 293 feet/s
Therefore, the speed in feet per second is, 293 feet/s
D if you take 6/25 = 24/100 then change to a decimal and get 0.24
Answer: ![\bold{S_{\infty}=\dfrac{3125}{2}=1562.5}](https://tex.z-dn.net/?f=%5Cbold%7BS_%7B%5Cinfty%7D%3D%5Cdfrac%7B3125%7D%7B2%7D%3D1562.5%7D)
<u>Step-by-step explanation:</u>
a₁, 375, a₃, a₄, 81
First, let's find the ratio (r). There are three multiple from 375 to 81.
![375r^3=81\\\\r^3=\dfrac{81}{375}\\\\\\r^3=\dfrac{27}{125}\qquad \leftarrow simplied\\\\\\\sqrt[3]{r^3} =\sqrt[3]{\dfrac{27}{125}}\\ \\\\r=\dfrac{3}{5}](https://tex.z-dn.net/?f=375r%5E3%3D81%5C%5C%5C%5Cr%5E3%3D%5Cdfrac%7B81%7D%7B375%7D%5C%5C%5C%5C%5C%5Cr%5E3%3D%5Cdfrac%7B27%7D%7B125%7D%5Cqquad%20%5Cleftarrow%20simplied%5C%5C%5C%5C%5C%5C%5Csqrt%5B3%5D%7Br%5E3%7D%20%3D%5Csqrt%5B3%5D%7B%5Cdfrac%7B27%7D%7B125%7D%7D%5C%5C%20%5C%5C%5C%5Cr%3D%5Cdfrac%7B3%7D%7B5%7D)
Next, let's find a₁
![a_1\bigg(\dfrac{3}{5}\bigg)=375\\\\\\a_1=375\bigg(\dfrac{5}{3}\bigg)\\\\\\a_1=125(5)\\\\\\a_1=625](https://tex.z-dn.net/?f=a_1%5Cbigg%28%5Cdfrac%7B3%7D%7B5%7D%5Cbigg%29%3D375%5C%5C%5C%5C%5C%5Ca_1%3D375%5Cbigg%28%5Cdfrac%7B5%7D%7B3%7D%5Cbigg%29%5C%5C%5C%5C%5C%5Ca_1%3D125%285%29%5C%5C%5C%5C%5C%5Ca_1%3D625)
Lastly, Use the Infinite Geometric Sum Formula to find the sum:
![S_{\infty}=\dfrac{a_1}{1-r}\\\\\\.\quad =\dfrac{625}{1-\frac{3}{5}}\\\\\\.\quad =\dfrac{625}{\frac{2}{5}}\\\\\\.\quad = \dfrac{625(5)}{2}\\\\\\.\quad = \large\boxed{\dfrac{3125}{2}}](https://tex.z-dn.net/?f=S_%7B%5Cinfty%7D%3D%5Cdfrac%7Ba_1%7D%7B1-r%7D%5C%5C%5C%5C%5C%5C.%5Cquad%20%3D%5Cdfrac%7B625%7D%7B1-%5Cfrac%7B3%7D%7B5%7D%7D%5C%5C%5C%5C%5C%5C.%5Cquad%20%3D%5Cdfrac%7B625%7D%7B%5Cfrac%7B2%7D%7B5%7D%7D%5C%5C%5C%5C%5C%5C.%5Cquad%20%3D%20%5Cdfrac%7B625%285%29%7D%7B2%7D%5C%5C%5C%5C%5C%5C.%5Cquad%20%3D%20%5Clarge%5Cboxed%7B%5Cdfrac%7B3125%7D%7B2%7D%7D)
Answer:
Where's the question?
Step-by-step explanation:
Answer:
inequality 3n+5>9+n, subtract 5 from both sides to get 3n>4+n, now subtract n from both sides to get 2n>4 and divide both sides by 2 to get n>2 :)
Step-by-step explanation: