Question
What is a peregrine falcon's maximum speed while diving to catch prey, in feet per second? (Round your answer to the nearest whole number 1 mile = 5280 feet)
Hint:
Hint:
- Use 1 mile = 5280feet and 1 hour = 3600sec to solve this question.
The correct answer is: 293 feet / sec
Explanation:
- We have given the maximum speed of peregrine falcon is 200 miles per hour
- We have to find this maximum speed in feet per sec.
Step 1 of 1:
We know that
1mile = 5280feet
And 1hour = 3600sec
So,
= 200mile / hour
![equals fraction numerator 200 cross times 5280 text feet end text over denominator 3600 sec end fraction](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAJYAAAAjCAYAAAB2BvMkAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAXQ/cXWQAABJVJREFUeNrtXF1kHFEUviIiYpWoqqgqERVRESKqoipUVEXVEhVVVSGqDxF9q+hj6UNV9aFERPQhLxVRFVGqalUeQkRURZSqqooIeYiotZbtOfKt3tzMzN69cyc7Sc/H97B3zszOmXvmnHN/ziiVHHqJs8QdYoG4SrwdInuC+Iq4BE6gzVUuLkoRdNWxifiSuEvME98Tz3jU8RrxO7EYcJ/HCjniEDGD3x3ERbSZ+Ei8of0eQJurnA/D8q3jFPEJsZ7YQHwKw/Gl40/8fxLYTruxnSN+MdoG8SabeGF0kK3cYRqWrY4KXkpHHbyc8qRjkl7qSHhA8wFzKOkPkOvDsWrldIyD1R4redZRIQRmDMP65fgsKoVuHUP4H76naWJjwPlRMlHXTg0uIVSYbrYhQJbbNh3kbAwoyqjiGlaQjgqeaNSQe+b4LGzv+SJxnXgWhjxCfO4gk2qP1YicotdoL0acU3CQq2RclYyq/CALSMoXiA8Nb1OtjoxOXLOA3GyDeNnxWdga1lxACN1wkEmtYTUT34a4+aJlSLGVizKuDxZGpYMT7W7iY7zV7Y46ct41Q2zRPFI3RnGdnnQshYTf00bbjoNMKg2rFQ+8LeT4Zoj7bzTcv62cT8PS0Q9P46LjnGFAeu70yZOOpSqmTVxkUgV+wycxhxOGWczBBHXkrIOcj1BYjdew0TFveSyOjqWQaYImi6mEJodr1wzsXt8gnEQhi44xMW3Efls5H8l7EC4gdLnouBbizTqMfMZVx7DO5/OGK5xnI1NAYp8KzFfISXRwOBhT/yYPx0PCjq1c3OmGOYza6sDyrHbWUccsjKtPu2Yfrnk/po5RhtWG/+jXcr3XDjKryv9cYaxJNZv4XU58pxAW/qi9ZYxMDLm44InKb0imt+GVemLqyNdcwdufh7Hc9KhjWLjqwfQH6/JV7Z/Vt5XpQ453rJeKBAKBQCCoYW6U6vUigUAg8O7thMebEgoFAoFAIBAIBAJBbcHrWrzrk9fZeL2N1/y4GOFkiDyvk/Fa4A7k3xGvGDJpK08T1AC8O4B3E+gb5rrUXh2fiREY0nnNMLgu8LMhl7byNEGKYG635b1QyxbnpbE8TZAS8NbhdaNtwrLDfZentcKrcqgOmxe0Kdnigo0cZLhY9Y508+GBd3jeQ5513TjGhtZicQ3f5WnLKnhPVBk25Vgc2rfU3n6uOoTyGenu5GGuFIwFyOTRIXPwHgV0uvntBd/lafxfzRGyNuVY7AFHpZtrh2a81UsBIz02uBV4snq8+b3wbg8sDcalPI3vZzEiDNuUY+3IaDMdyKiDH+Dgzgn62guHmd/a7yTK0/h+uGhiTRuRhnnbI1GO9T/DLMFaUOGVJwUj7CRVnvYIXtPM6SqVY22Jx0oHOhHidHC4uxUg2254tyTL04K+OGNTjjUpOdbhg4fgg1rexMP9H8S7AaO1HDqxXhuR8SeIrhqySZWnDav9ldAMm3KsVkwxZKEjh/Qp6fpkwR/amEfoy6PjBkJkT+Ht30XynVMHP9RRHgT4Kk8r50xFhOOgKQ+bkq0ueFaWWa0whXHo+As7BD8MJLg7GQAAANJ0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bW8+PTwvbW8+PG1mcmFjPjxtcm93Pjxtbj4yMDA8L21uPjxtbz4mI3hENzs8L21vPjxtbj41MjgwPC9tbj48bXRleHQ+JiN4QTA7ZmVldCYjeEEwOzwvbXRleHQ+PC9tcm93Pjxtcm93Pjxtbj4zNjAwPC9tbj48bWk+c2VjPC9taT48L21yb3c+PC9tZnJhYz48L21hdGg+hRnMqQAAAABJRU5ErkJggg==)
![equals 293.33 feet divided by sec](data:image/png;base64,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)
Hence, Rounding to the nearest whole number 293 feet/sec .
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![table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell 2.4 x minus 1.5 y equals 0.3 end cell row cell 1.6 x plus 0.5 y equals negative 1.3 end cell end table](data:image/png;base64,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)
The system of equations above is graphed in the xy -plane. What is the x -coordinate of the intersection point ( x, y) of the system?
![table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell 2.4 x minus 1.5 y equals 0.3 end cell row cell 1.6 x plus 0.5 y equals negative 1.3 end cell end table](data:image/png;base64,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)
The system of equations above is graphed in the xy -plane. What is the x -coordinate of the intersection point ( x, y) of the system?
![x minus 2 y equals negative 3](data:image/png;base64,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)
![x plus y equals 21](data:image/png;base64,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)
According to the system of equations above, what is the value of X ?
Note:
Here we find the value of y from equation (1) and use it in equation (2).
We could do it the other way and receive the same answer, that is, if we find the value of y from equation (2) and use it in equation (1) to find x, we get the same value of x as found in the solution above.
Students are encouraged to try this method too.
![x minus 2 y equals negative 3](data:image/png;base64,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)
![x plus y equals 21](data:image/png;base64,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)
According to the system of equations above, what is the value of X ?
Note:
Here we find the value of y from equation (1) and use it in equation (2).
We could do it the other way and receive the same answer, that is, if we find the value of y from equation (2) and use it in equation (1) to find x, we get the same value of x as found in the solution above.
Students are encouraged to try this method too.