Answer:
a) r→q
b) r→p
c) r→p
d) r→ p∧q
e) r→ p∨q
Step-by-step explanation:
Using logical connectives, as shown in the picture below, we can write all of the statements of the question.
p:"You get an A on the final exam"
q:"You do every exercise in this book"
r:"You get an A in this class"
a) r→q
b) r→p
c) r→p
d) r→ p∧q
e) r→ p∨q
Answer:
a) 25.15
b)
x = 1
y = t
z = (4pi)^2 + t *(8pi) = 4pi(4pi + 2t)
c) (x,y) = (1, -2pi)
Step-by-step explanation:
a)
First lets calculate the velocity, that is, the derivative of c(t) with respect to t:
v(t) = (-sin(t), cos(t), 2t)
The velocity at t0=4pi is:
v(4pi) = (0, 1, 8pi)
And the speed will be:
s(4pi) = √(0^2+1^2+ (8pi)^2) = 25.15
b)
The tangent line to c(t) at t0 = 4pi has the parametric form:
(x,y,z) = c(4pi) + t*v(4pi)
Since
c(4pi) = (1, 0, (4pi)^2)
The tangent curve has the following components:
x = 1
y = t
z = (4pi)^2 + t *(8pi) = 4pi(4pi + 2t)
c)
The intersection with the xy plane will occurr when z = 0
This happens at:
t1 = -2pi
Therefore, the intersection will occur at:
(x,y) = (1, -2pi)
8) D
9) D
11) Twenty-five thousandths
13) A
14) Sixty-eight and 4 tenths
Not sure on 10 and 12
Answer:
0.504m
Step-by-step explanation:
First, we would multiply 0.4cm by 126 watermelon seeds to find the length of the line in cm.
0.4*126
= 50.4cm
Therefore, the line of watermelon seeds stretches 50.4cm.
Now, because the question wants us to type the answer in meters, we must convert 50.4cm into meters. We do this by dividing 50.4 by 100 since 100cm makes up 1 meter.
50.4/100
= 0.504m
Therefore, the line of watermelon seeds stretches 0.504m.
I hope this helps!
Answer:
<h2>____</h2><h3>1260 </h3><h2>____</h2>
Since we have to predict, we can use ratios to help us solve this.
12 said yes out of 72 randomly chosen, SO,
if 210 would say yes (goes to play), how many is total??
12 is to 72 AS 210 is to HOW MUCH (let it be x)??
We can setup ratio, cross multiply, and solve for x:
= 12/72= 210/x
= 12x = 210*72
=12x = 15,120
=x = 15,120/12
<h2>=x =1260</h2>
