60 minutes in 1 hr, 60 seconds in 1 minute....(60 * 60) = 3600 seconds in 1 hr
(1/4) / 36 = x / 3600...1/4 mile to 36 seconds = x miles to 3600 seconds
cross multiply
(36)(x) = (1/4)(3600)
36x = 900
x = 900/36
x = 25 mph <==
Answer:
√8 degrees Celsius per meter.
Step-by-step explanation:
The highest rate of temperature increase is given as 4 degrees Celsius per meter with its direction in northeast.
Imagine this high rate as a diagonal vector pointing in the northeast direction.
This vector has an x component (horizontal, or east) and a y component (vertical, or north).
The highest rate (maximum) is found as the magnitude of these two components.
It is the square root of (x^2)+(y^2).
4 = √((x^2)+(y^2))
-> Take the square of both sides to remove the square root on the right side of the equation.
16 = (x^2)+(y^2)
-->The x^2 and y^2 values each must equal 8 in order to get: 8 + 8 = 16
(x^2) = 8
x = √8
(y^2) = 8
y = √8
If the object moves directly north, it is therefore moving only in the y-direction.
Thus, it is increasing at a rate of √8 degrees Celsius per meter.
7 5 35
-- X -- = -----
1 6 6
hope it helps
7 =7/1
Multiplying Fractions is easy . numerator times numerator and denominator times denominator. then simplify if possible
(g*f)(0)= (x^3)*(2x+6)
(g*f)(0)= (0^3)*(2(0)+6)
(g*f)(0)= (0)*(0+6)
(g*f)(0)= (0)*(6)
(g*f)(0)= 0
9
c
−
4
−
c
2
=
−
7
9
c
-
4
-
c
2
=
-
7
Move
7
7
to the left side of the equation by adding it to both sides.
9
c
−
4
−
c
2
+
7
=
0
9
c
-
4
-
c
2
+
7
=
0
Add
−
4
-
4
and
7
7
.
9
c
−
c
2
+
3
=
0
9
c
-
c
2
+
3
=
0
Factor
−
1
-
1
out of
9
c
−
c
2
+
3
9
c
-
c
2
+
3
.
Tap for more steps...
−
(
c
2
−
9
c
−
3
)
=
0
-
(
c
2
-
9
c
-
3
)
=
0
Multiply each term in
−
(
c
2
−
9
c
−
3
)
=
0
-
(
c
2
-
9
c
-
3
)
=
0
by
−
1
-
1
Tap for more steps...
c
2
−
9
c
−
3
=
0
c
2
-
9
c
-
3
=
0
Use the quadratic formula to find the solutions.
−
b
±
√
b
2
−
4
(
a
c
)
2
a
-
b
±
b
2
-
4
(
a
c
)
2
a
Substitute the values
a
=
1
a
=
1
,
b
=
−
9
b
=
-
9
, and
c
=
−
3
c
=
-
3
into the quadratic formula and solve for
c
c
.
9
±
√
(
−
9
)
2
−
4
⋅
(
1
⋅
−
3
)
2
⋅
1
9
±
(
-
9
)
2
-
4
⋅
(
1
⋅
-
3
)
2
⋅
1
Simplify.
Tap for more steps...
c
=
9
±
√
93
2
c
=
9
±
93
2
The final answer is the combination of both solutions.
c
=
9
+
√
93
2
,
9
−
√
93
2
c
=
9
+
93
2
,
9
-
93
2
The result can be shown in multiple forms.
Exact Form:
c
=
9
+
√
93
2
,
9
−
√
93
2