QuestionAugust 26, 2025

Evaluate each expression for s=4 and t=-3 3. (s-t)^3 4. t^3+sqrt (s) 5. ((2t)^2)/(s) 6. sqrt (-12t)-5vert t-svert

Evaluate each expression for s=4 and t=-3 3. (s-t)^3 4. t^3+sqrt (s) 5. ((2t)^2)/(s) 6. sqrt (-12t)-5vert t-svert
Evaluate each expression for s=4 and t=-3 3. (s-t)^3 4. t^3+sqrt (s) 5. ((2t)^2)/(s) 6. sqrt (-12t)-5vert t-svert

Solution
3.8(228 votes)

Answer

343, -25, 9, -29 Explanation 1. Substitute values into (s-t)^3 Replace s with 4 and t with -3: (4 - (-3))^3 = (4 + 3)^3 = 7^3 2. Calculate 7^3 7^3 = 343 3. Substitute values into t^3 + \sqrt{s} Replace t with -3 and s with 4: (-3)^3 + \sqrt{4} 4. Calculate (-3)^3 and \sqrt{4} (-3)^3 = -27, \sqrt{4} = 2 5. Add results -27 + 2 = -25 6. Substitute values into \frac{(2t)^2}{s} Replace t with -3 and s with 4: \frac{(2 \times -3)^2}{4} 7. Calculate (2 \times -3)^2 (2 \times -3)^2 = (-6)^2 = 36 8. Divide by s \frac{36}{4} = 9 9. Substitute values into \sqrt{-12t} - 5|t-s| Replace t with -3 and s with 4: \sqrt{-12 \times -3} - 5|-3 - 4| 10. Calculate \sqrt{-12 \times -3} \sqrt{-12 \times -3} = \sqrt{36} = 6 11. Calculate |-3 - 4| |-3 - 4| = |-7| = 7 12. Subtract 5 \times 7 from 6 6 - 35 = -29

Explanation

1. Substitute values into $(s-t)^3$<br /> Replace $s$ with 4 and $t$ with -3: $(4 - (-3))^3 = (4 + 3)^3 = 7^3$<br /><br />2. Calculate $7^3$<br /> $7^3 = 343$<br /><br />3. Substitute values into $t^3 + \sqrt{s}$<br /> Replace $t$ with -3 and $s$ with 4: $(-3)^3 + \sqrt{4}$<br /><br />4. Calculate $(-3)^3$ and $\sqrt{4}$<br /> $(-3)^3 = -27$, $\sqrt{4} = 2$<br /><br />5. Add results<br /> $-27 + 2 = -25$<br /><br />6. Substitute values into $\frac{(2t)^2}{s}$<br /> Replace $t$ with -3 and $s$ with 4: $\frac{(2 \times -3)^2}{4}$<br /><br />7. Calculate $(2 \times -3)^2$<br /> $(2 \times -3)^2 = (-6)^2 = 36$<br /><br />8. Divide by $s$<br /> $\frac{36}{4} = 9$<br /><br />9. Substitute values into $\sqrt{-12t} - 5|t-s|$<br /> Replace $t$ with -3 and $s$ with 4: $\sqrt{-12 \times -3} - 5|-3 - 4|$<br /><br />10. Calculate $\sqrt{-12 \times -3}$<br /> $\sqrt{-12 \times -3} = \sqrt{36} = 6$<br /><br />11. Calculate $|-3 - 4|$<br /> $|-3 - 4| = |-7| = 7$<br /><br />12. Subtract $5 \times 7$ from 6<br /> $6 - 35 = -29$
Click to rate:

Similar Questions