Answer:
Add the exponents
Step-by-step explanation:
Product Rule: am ∙ an = am + n, this says that to multiply two exponents with the same base, you keep the base and add the powers.
EX:
x multiplied by x^5=x^6
Answer:11.9 inches
Step-by-step explanation:
Circumference(c)=75inches
Pi=3.14
Circumference(c)=2 x π x radius(r)
75=2 x 3.14 x r
75=6.28 x r
Divide both sides by 6.28
75 ➗ 6.28=(6.28 x r) ➗ 6.28
11.9=r
Therefore radius=11.9 inches
Answer: the value us 2.064
Step-by-step explanation:
To determine the t value, we would need the t distribution table. Since degree of freedom is known as 24, we would determine alpha/2
A 95% confidence level is 95/100 = 0.95
1 - alpha = 0.95
alpha = 1 - 0.95
alpha = 0.05
alpha/2 = 0.05/2 = 0.025
this is the area to the left. The area to the right 1 - 0.025 = 0.975
alpha/2 = 0.975
Looking at the t distribution table, the t value is
2.064
In a mechanical system, it is a law that energy should be conserved. In this case, what is the initial energy should be equal to the total energy after the motion happened. We do as follows:
PE(at rest) = KE(during motion) + PE(after motion)
51450 J = KE(during motion) + 32781 J
KE(during motion) = 18669 J