2025年1月15日 · Expression: 3 16 x 7 ⋅ 3 12 x 9 Use the property of cube roots: 3 a ⋅ 3 b = 3 a ⋅ b . Calculate inside the cube root: 16 ⋅ 12 = 192 and x 7 ⋅ x 9 = x 16. Now simplify: 3 192 x 16 . Break it down: 192 = 64 × 3 and 64 is a perfect cube (64 = 4 3). So, 3 192 = 4 ⋅ 3 3 and 3 x 16 = x 5 ⋅ 3 x . Multiply everything together: 4 x 5 ⋅ ...

2020年6月23日 · To find the product of the expressions 3 16 x 7 and 3 12 x 9 , we can use the property of radicals that states n a × n b = n a × b . Therefore, we can combine the two cube roots: 3 16 x 7 × 3 12 x 9 = 3 (16 x 7) × (12 x 9) Now, calculate the product inside the cube root: 16 × 12 = 192 x 7 × x 9 = x 7 + 9 = x 16. Putting it together: 3 192 ...

2022年12月8日 · Isolate x: To find the value of x, you need to isolate it on one side of the equation. To do this, divide both sides by 0.16: x = 0.16 7 Perform the Division: Now calculate the right side: x = 43.75. Conclusion: Therefore, the solution to the equation 0.16 x = 7 is x = 43.75. You can verify this by substituting the value of x back into the ...

2025年1月15日 · 3 16 x 7 ⋅ 3 12 x 9 = 3 (16 x 7) ⋅ (12 x 9) ### Step 2: Multiply Inside the Cube Root Multiply the constants and the variables: 16 ⋅ 12 = 192 For the x terms, apply the laws of exponents to get: x 7 ⋅ x 9 = x 7 + 9 = x 16 So, we now have: 3 192 x 16 ### Step 3: Separate the Expression Inside the Cube Root We can take the cube root of ...

So, 3 16 x 7 × 3 12 x 9 = 3 (16 x 7) (12 x 9) Now we can multiply the coefficients and combine the terms with the same base: = 3 16 ⋅ 12 ⋅ x 7 + 9 = 3 192 ⋅ x 16 Next step is to factor 192 to find its cube root: 192 = 64 ⋅ 3 = 4 3 ⋅ 3

2022年3月15日 · The equations of both plants are given, where x represents the time in weeks and y represents the height of the plants in inches. Plant A: y = 1.8 x + 3.1 Plant B: y = 2.3 x + 1.9 Approximately how many weeks will it take for both plants to reach the same height? Round your answer to the nearest tenth. A. 1.9 weeks B. 2.4 weeks C. 3.1 weeks D ...

To solve the equation 16^(x - 7) + 5 = 24, we can start by subtracting 5 from both sides to isolate the exponent term: 16^(x-7) = 19. To solve for x, we can take the logarithm of both sides using logarithm properties. Taking the logarithm base 16 of both sides gives us: log16(16^(x-7)) = log16(19). Applying the logarithm property x logb(a ...

The correct equation for translating the circle x² + y² = 16 seven units to the right and five units up is (x - 7)² + (y - 5)² = 16. Therefore, option D is the correct answer. The original equation for a circle with a radius of 4 units is x² + y² = 16.

2020年9月30日 · According to the given information, the angles are (x+16) and (4x-5). Therefore, we can set up the following equation: x + 16 = 4x - 5. To solve for x, we'll isolate it on one side of the equation. Let's solve the equation step by step: x - 4x = -5 - 16 (subtract x from both sides and simplify)-3x = -21 (combine like terms)

3y=16 X=7 X=y Y=8 Select the equation of the line that passes through the points (5,7) and is perpendicular to the line x=4. Y=4 X=5 Y=7 X=7 Community Answer