Answer:
Step-by-step explanation:
Average Temperatures Suppose the temperature (degrees F) in a river at a point x meters downstream from a factory that is discharging hot water into the river is given by
T(x) = 160-0.05x^2
a. [0, 10]
For x = 0
T(0) = 160 - 0.05 × 0^2
T(0) = 160
For x = 10
T(10) = 160 - 0.05 × 10^2
T(10) = 160 - 5 = 155
The average temperature
= (160 + 155)/2 = 157.5
b. [10, 40]
For x = 10
T(10) = 160 - 0.05 × 10^2
T(10) = 160 - 5 = 155
For x = 40
T(10) = 160 - 0.05 × 40^2
T(10) = 160 - 80 = 80
The average temperature
= (80 + 155)/2 = 117.5
c. [0, 40]
For x = 0
T(0) = 160 - 0.05 × 0^2
T(0) = 160
For x = 40
T(10) = 160 - 0.05 × 40^2
T(10) = 160 - 80 = 80
The average temperature
= (160 + 80)/2 = 120
Ya got to go $660 + 7% hours later on $450 hours later 00.578 to finish
Answer:
48
Step-by-step explanation:
L = Length W = Width H = Height B = Base
8L x 4W = 32
4B + 4H = 8
4B + 4H = 8
8 + 8 = 16
16 + 32 = 48
(MEANS A LOT FOR A BRAINLIEST - TRYING TO REACH GENIUS)
;)
Answer:
d.
Step-by-step explanation:
Let's examine each statement:
Option A: m<CUD = m<VUM (CORRECT)
Rationale: vertical angles are congruent to each other.
Option B: m<AUV + m<DUA = 180 (CORRECT)
Rationale: angles on a straight line
Option C: m<MUC - m<MUD = m<CUD (CORRECT)
Rationale:
m<MUC = m<MUD + m<CUD
Subtract m<MUD from each side
m<MUC - m<MUD = m<CUD
Option D is FALSE
Rationale:
m<PUD + m <VUP = 180° (angles on a straight line)
m<PUM + m<CUA ≠ 180°
Therefore,
m<PUD + m<VUP = m<PUM + m<CUA IS FALSE.
Answer:
Step-by-step explanation:
area = 30x + 30(x+3) + 30(2x)
= 30x + 30x+90 + 60x
= (120x + 90) m²
length of planting area = x + (x+3) + 2x = 4x+3 m
area = 30(4x+3) = (120x + 90) m²
x = 5
maple area = 30(5+3) = 240 m²
locust area = 30(2·5) = = 300 m²
