There are 8 letters and 3 of them is a vowel.
P(not consonant) = P(vowel) = 3/8
A is the correct choice.
Answer:
2) cos theta
Step-by-step explanation:
0 = theta
√(1- sin 0)(1+sin 0)
=√(1 - sin²0)
=√cos²0
= cos 0 => (cos theta)
To find slope:
(y1 - y2) / (x1 - x2)
(0-3)/(-4-0)
Slope is 3/4
So the equation is
y=3/4x + 3
7t⁴ * 7t⁴ = 49t⁸
Multiply the coefficients and add the exponents together.
Answer:
See verification below
Step-by-step explanation:
Remember that the Intermediate Value Theorem (IVT) states that if f is a continuous function on [a,b] and f(a)<M<f(b), there exists some c∈[a,b] such that f(c)=M.
Now, to apply the theorem, we have that f(0)=0²+0-1=-1, f(5)=5²+5-1=29, then f(0)=-1<11<29=f(5). Additionally, f is continous since it is a polynomial. Then the IVT applies, and such c exists.
To find, c, solve the quadratic equation f(c)=11. This equation is c²+c-1=11. Rearranging, c²+c-12=0. Factor the expression to get (c+4)(c-3)=0. Then c=-4 or c=3. -4 is not in the interval, then we take c=3. Indeed, f(3)=3²+3-1=9+3-1=11.
