Answer: The cube root of 10 is 2.1544, using an initial value of -0.003723.
Step-by-step explanation: The Newton-Raphson method is utilized for root finding, and its formula is NR: X=Xo-(f(x)/f'(x)). Before applying this formula, the derivative of the equation must be determined. Given that X =10, this method was implemented to identify the best root to ascertain the cube root of 10 to 5 significant figures. Utilizing software like Excel for quicker iteration calculations is advisable. The found root in this instance was -0.003723.
Answer:
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The relevant equation is: b. 0.75x + 0.15y = 90
Answer:
Refer to the detailed explanation below
Step-by-step explanation:
* Let’s organize the procedure to bisect angle ABC
- Angle ABC has vertex at point B and rays BA and BC
# Step 1:
- Center the compass at point B and draw an arc that crosses rays BA and BC ⇒ fifth step
# Step 2:
- Mark point D where the arc intersects ray BA and point E where it meets ray BC ⇒ third step
# Step 3:
- With the compass on point D, create an arc inside the angle ⇒ sixth step
# Step 4:
- Using the same compass width, set it on point E and draw an arc inside the angle ⇒ second step
# Step 5:
- Let point F be the intersection of the arcs from points D and E ⇒ fourth step
# Step 6:
- Draw a ray from point B through point F ⇒ first step
* This ray divides angle ABC into two equal parts
Let’s clarify this: the basketball moves faster, indicating the tennis ball won’t be able to catch up. Therefore, we utilize the formula:
Vr=Vb-Vt
<span>=0.5-0.25=0.25
</span>Thus, the relative speed is <span>0.25m/s.
I hope this is helpful.</span>