Answer:
a) Q(-2,1) is false
b) Q(-5,2) is false
c)Q(3,8) is true
d)Q(9,10) is true
Step-by-step explanation:
Given data is
is predicate that
then
. where
are rational numbers.
a)
when 
Here
that is
satisfied. Then

this is wrong. since 
That is 
Thus
is false.
b)
Assume
.
That is 
Here
that is
this condition is satisfied.
Then

this is not true. since
.
This is similar to the truth value of part (a).
Since in both
satisfied and
for both the points.
c)
if
that is
and
Here
this satisfies the condition
.
Then 
This also satisfies the condition
.
Hence
exists and it is true.
d)
Assume 
Here
satisfies the condition 
Then 
satisfies the condition
.
Thus,
point exists and it is true. This satisfies the same values as in part (c)
13 kids sandwiches X 4 inches = 52 inches
22 small sandwiches X 6 inches = 132 inches
17 medium sandwiches X 8 inches = 136 inches
17 large sandwiches X 12 inches = 204 inches
52+132+136+204= 524 inches = 43.66 feet = 43.7 feet
Answer:
w = 9.82
x = 66.73
Step-by-step explanation:
By applying tangent rule in triangle ABD,
tan(81°) = 
6.31 = 
w = 
w = 9.82
Similarly,
tan(39°) = 
0.81 = 
0.81 = 
9.82 + x = 
x = 76.56 - 9.82
x = 66.74
Answer:
y=7*3^x
Step-by-step explanation:
y=ab^x
(0,7) ⇒ 7=ab^0 ⇒ 7=a
(5, 1701) ⇒ 1701= 7b^5 ⇒ b^5=243 ⇒ b^5= 3^5 ⇒ b=3
y=7*3^x