Answer:
97.6 in^3
Step-by-step explanation:
find the volume of the cylinder and then find the volume of the cone. the formula for the volume of the cylinder is pi*r^2*h. the formula for the volume of the cone is 1/3*pi*r^2*h. r=d/2=4/2=2, h(cylinder)=8, h(cone)=0.7. now just plug these values into the formulas.
cylinder: pi*2^2*8=100.531
cone: 1/3*pi*2^2*0.7=2.932
cylinder-cone= 100.531-2.932=97.599. round to the nearest tenth to get 97.6
Answer:
p - q
Step-by-step explanation:
Given the factors
(x + p)(x - q) ← expanding the factors
= x² - qx + px - pq ← collect like terms
= x² + px - qx - pq ← factor out x in each of the x- terms
= x² + (p - q)x - pq
The coefficient of the x- term is p - q
Answer:
A. f(x) = -4|x + 2| + 3
Step-by-step explanation:
An absolute value graph is a v-shaped graph whose equation has the form y = a| x - h| + k where (h,k) is the vertex. On the graph the vertex is (-2,3). This means its equation is y = a| x --2| + 3. It simplifies to y = a|x+2|+3. To find a, look at the answer options. Each option has 4 or -4. Since the graph faces downward, it has a negative leading coefficient of a = -4. The equation is y = -4|x+2|+3
Answer:
a P(x) = Q(x)
b. R(x) = Q(x)
c. R(x) = P(x)
d. Yes
Step-by-step explanation:
This is a statement of logical connectives.
a P(x) = Q(x)
b. R(x) = Q(x)
c. R(x) = P(x)
d. Yes, (c) follows from (a) and (b)
Reasoning:
(c) is equivalent to ∀x ¬ P(x) ∨ Q(x)
Proof:
Follow the tautology (X→Υ) Ξ(¬x∨Υ)
This gives X: R(x) ∧ ¬ P(X)
Answer:
C and E i think
Step-by-step explanation:
