First, we pay attention to the numerical coefficients of the terms in the series: 10, 21, 32, 43, 54, 65. Conclusively they form an arithmetic sequence with a common difference of 11. Thus, the next numerical coefficient is 76. Then, we pay attention to the letters which are just arrange alphabetically. The next letter ought to be G which needs to be capitalized. Thus, the answer is letter C. 76G.
Answer:
Step-by-step explanation:
the function -16t^2 + 64t + 192 give the height S, in ft, of a model water rocket launched with a velocity of 64 ft/second from a hill that is 192 ft high. a) determine how long it will take the rocket to reach the ground, b) find the interval on which the height of the rocket is greater than 240 ft.
Answer:
D=6
Step-by-step explanation:
So, first, we can multiply 7x2=14. Then, it would be D+14=20. 20-14=6, so D=6.
The diameter is 2x the radius. The radius 5 (x). 2(5) =10. Diameter= 10.
Answer:
Step-by-step explanation:
![\log_23x+\log_23=2\\\\\bold{DOMAIN}:\\3x>0\to x>0\\\\\text{Use}\ \log_ab+\log_ac=\log_a(bc)\\\\\log_2\bigg[(3x)(3)\bigg]=2\\\\\log_29x=2\qquad\text{use}\ \log_ab=c\iff a^c=b\\\\\log_29x=\log_22^2\\\\\log_29x=\log_24\iff9x=4\qquad\text{divide both sides by 9}\\\\\dfrac{9x}{9}=\dfrac{4}{9}\\\\\boxed{x=\dfrac{4}{9}}\in \bold{DOMAIN}](https://tex.z-dn.net/?f=%5Clog_23x%2B%5Clog_23%3D2%5C%5C%5C%5C%5Cbold%7BDOMAIN%7D%3A%5C%5C3x%3E0%5Cto%20x%3E0%5C%5C%5C%5C%5Ctext%7BUse%7D%5C%20%5Clog_ab%2B%5Clog_ac%3D%5Clog_a%28bc%29%5C%5C%5C%5C%5Clog_2%5Cbigg%5B%283x%29%283%29%5Cbigg%5D%3D2%5C%5C%5C%5C%5Clog_29x%3D2%5Cqquad%5Ctext%7Buse%7D%5C%20%5Clog_ab%3Dc%5Ciff%20a%5Ec%3Db%5C%5C%5C%5C%5Clog_29x%3D%5Clog_22%5E2%5C%5C%5C%5C%5Clog_29x%3D%5Clog_24%5Ciff9x%3D4%5Cqquad%5Ctext%7Bdivide%20both%20sides%20by%209%7D%5C%5C%5C%5C%5Cdfrac%7B9x%7D%7B9%7D%3D%5Cdfrac%7B4%7D%7B9%7D%5C%5C%5C%5C%5Cboxed%7Bx%3D%5Cdfrac%7B4%7D%7B9%7D%7D%5Cin%20%5Cbold%7BDOMAIN%7D)
