Answer:
62 square units
Step-by-step explanation:
Surface area of a rectangular prism = 2 ( wl + hl + hw)
Where,
w = width = 2 units
h = height = 3 units
l = length = 5 units
Surface area of a rectangular prism = 2 ( wl + hl + hw)
= 2 (2*5 + 3*5 + 3*2)
= 2 (10 + 15 + 6)
= 2 (31)
= 62 square units
Surface area of the rectangular prism = 62 square units
Answer:
0.07%
Step-by-step explanation:
This equation is solving for what percentage of 100 kg is 0.07 kg.
1. Set up the equation
= 
0.07 kg out of 100 kg is equal to x out of 100 because x represents the percentage and percentages are out of 100.
2. Solve by cross multiplying
100x = 7
3. Solve for x by dividing both sides by 100
x = 0.07
The answer is 0.07%
<u><em>Answer:</em></u>
A. (3x²-4x-5)(2x⁶-5)
<u><em>Explanation:</em></u>
<u>The fundamental theorem of Algebra states that:</u>
"A polynomial of degree 'n' will have exactly 'n' number of roots"
We know that the degree of the polynomial is given by the highest power of the polynomial.
Applying the above theorem on the given question, we can deduce that the polynomial that has exactly 8 roots is the polynomial of the 8th degree
<u>Now, let's check the choices:</u>
<u>A. (3x²-4x-5)(2x⁶-5)</u>
The term with the highest power will be (3x²)(2x⁶) = 6x⁸
Therefore, the polynomial is of 8th degree which means it has exactly 8 roots. This option is correct.
<u>B. (3x⁴+2x)⁴</u>
The term with the highest power will be (3x⁴)⁴ = 81x¹⁶
Therefore, the polynomial is of 16th degree which means it has exactly 16 roots. This option is incorrect.
<u>C. (4x²-7)³</u>
The term with the highest power will be (4x²)³ = 64x⁶
Therefore, the polynomial is of 6th degree which means that it has exactly 6 roots. This option is incorrect
<u>D. (6x⁸-4x⁵-1)(3x²-4)</u>
The term with the highest power will be (6x⁸)(3x²) = 18x¹⁰
Therefore, the polynomial is of 10th degree which means that it has exactly 10 roots. This option is incorrect
Hope this helps :)
I would choose B. because first of all negative -2 can't be equal to -4 (but that's just my opinion)
Answer:
50y^4x/49
Step-by-step explanation:
y^3/98
((100* y^3/98 * x) * y
2.1 y^3 * y^1=y^(3+1)=y^4
