The surface area of a regular tetrahedron is computed as the product of √3 and the square of the length of one side. The length given is 5 meters, by evaluating, we will have A = √3 (a²) = √3 (25) = 43.30. The answer is B.
Step-by-step explanation:
If x − 2 is a factor of p(x), then p(2) will equal 0.
p(x) = x⁴ − 3x² + 2x − 8
p(2) = 2⁴ − 3(2)² + 2(2) − 8
p(2) = 16 − 12 + 4 − 8
p(2) = 0
So x − 2 is indeed a factor of p(x).
Hey there!
To solve this expression, you must follow your orders of operations or PEMDAS (Parenthesis, Exponents, Multiplication and Division, Addition and Subtraction).
In the case of <span>5[3(14.5+7)-3]-7.4, you not only have parenthesis, but you also have brackets. To start, you would first simplify what is in the parenthesis:
</span><span>5[3(14.5+7)-3]-7.4
5[3(21.5)-3]-7.4
Now, simplify what is in the bracket, starting by multiplying 3(21.5) since multiplication comes before addition and subtraction:
</span><span>5[3(21.5)-3]-7.4
5[64.5-3]-7.4
5[61.5]-7.4
Now, multiply 5*61.5 since multiplication comes next:</span>
<span>5[61.5]-7.4
307.5-7.4
And finally, subtract what is left since it is your final operation remaining to get 300.1 as your final answer.
Hope this helps and have a marvelous day!
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Unfortunately, doing this kind of problem by hand would take a very long time. So I recommend using a graphing calculator. Specifically, one that can handle numeric integration. You'll need to find the area under the curve from t = 0 to t = 3. This will tell you the change in velocity during the time period from t = 0 to t = 3 seconds. You should find that
If you want to do this by hand, you can use Riemann rectangles to break up the area and find the area of each rectangle. Though use of a calculator is recommended here as well.
This result will add onto the initial velocity of 5 to get a final approximate result of 5+6.71005 = 11.71005 which rounds to 11.710
