Newton's cooling model is ΔT = ΔTo * e ^ (-k t)
ΔTo = 200°F - 70°F = 130°F
k = 0.6
t = 2 hours
=> ΔT = 130 * e ^ (-0.6 t) = 130 * e^ (-0.6 * 2) = 130 * e ^ (-1.2)
ΔT = 39.15°F
ΔT = T - Tenvironment => T = ΔT + Tenvironment = 39.15°F + 70°F = 109.15°F ≈ 109 °F.
Answer: T = 109 °F
Answer:
n=-17
Step-by-step explanation:
8(2n-5)=3(6n-2)
1) Distributive property
16x-40=18x-6
16x−40=18x−6
2) Subtract 16x16x from both sides.
-40=18x-6-16x
−40=18x−6−16x
3) Simplify 18x-6-16x18x−6−16x to 2x-62x−6.
-40=2x-6
−40=2x−6
4) Add 66 to both sides.
-40+6=2x
−40+6=2x
5) Simplify -40+6−40+6 to -34−34.
-34=2x
−34=2x
6) Divide both sides by 22.
-\frac{34}{2}=x
−
2
34
=x
7) Simplify \frac{34}{2}
2
34
to 17
−17=x
8) Switch sides.
x=−17
The mean is the average of the data set. Median is the value that separates the higher half and the lower half of the set of values. Mode is the value that occurs often in the data set. Therefore, the correct answer is option A, <span>mean = 9.7, median = 10, mode = 15</span>
Answer: See explanation (btw, the answer is always in bold letters)
Step-by-step explanation:
1.) 1 gallon for $1.99
1/2 gallon for $0.98
1 gallon would be 0.98 × 2 = <em>1.96</em>
2 gallons for $3.98
1 gallon would be 3.98 ÷ 2 = 1.99
2.) 621 ÷ 4 = 155.25
He pays $155.25 each payment!
3.) V = s³
s = 3
V = 3³
3 × 3 × 3 = 27
V = 27 m³
4.) This is a rectangle; the area of a rectangle is l × b.
L = 6.9
l × b = a
6.9b = 28.29
Divide both sides by 6.9
b = 4.1
The missing length is 4.1 m
5.) False
Answer:
The 1st, 3rd, 4th, 5th are correct
