Answer:
D, or the last answer
Step-by-step explanation:
First, plugin the value of y into the equation, resulting in 12 - 2(-2) = 8.
Second, Simplify as much as you can on the left hand side of the equation, resulting in 12 - (-4), and because of the double negative rule, those two negatives become a plus. 16
Lastly, see if the two sides are equal or not equal. 16 is NOT equal to 8. That means D is your answer.
Answer:
C. Australia and Antarctica were a single landmass in the past.
Step-by-step explanation:
The most likely explanation for why the fossils of this plant are found on these two continents is that Australia and Antarctica were a single landmass in the past.
This evidence is vastly supported by the theory of plate tectonics originally, the theory of continental drift.
Plate tectonics proposes that all land masses were once joined together as a single supercontinent called Pangaea.
The region of Antartica and Australia were once joined as a single continental mass.
The plant must have developed together at that time.
When the continents moved apart, they still had the fossils.
Answer:
Step-by-step explanation:
If the bars will be packed in cartons which are 1 foot wide, 1 foot high, and 1 foot long, the volume of the carton will be expressed as shown;
Volume of carton = Length * Breadth * Height
Volume of carton = 1ft*1ft*1ft
= 1ft³
Given the dimension of shipping crate to be 5 ft long, 12 ft wide, and 4 ft high, the volume of the tank will be 5*12*4 = 240ft³
Number of cartons they pack into the shipping crate = Volume of the shipping crate/volume of one carton
Number of cartons they pack into the shipping crate = 240ft³/1ft³
= 240 cartons
Answer:
number of cartons that can be packed in the shipping crate = 240 cartons
Step-by-step explanation:
The cartons are cube since the face all have the same dimension . The length = 1 ft, width = 1 ft and height = 1 ft.
The shipping crate is a rectangular prism or cuboid . The dimension is given as follows.
length = 5 ft
width = 12 ft
height = 4 ft
The number of the cartons that can be packed in the shipping crate can be calculated as follows.
volume of the cubed carton = L³
where
L = length
volume of the cubed carton = 1³ = 1 ft³
Volume of the shipping crate = LWH
where
L = length
W = width
H = height
Volume of the shipping crate = 5 × 12 × 4
Volume of the shipping crate = 240 ft³
number of cartons that can be packed in the shipping crate = 240/1 = 240 cartons
Answer:
a. The biomass weighs 2.30 * 10^7 kg after a year
b. It'll take 2.56 years to get to 4*10^7kg
Step-by-step explanation:
a.
k = 0.78,K = 6E7 kg
Given
dy/dt = ky(1- y/K)
Make ky dt the subject of formula
ky dt = dy/(1-y/K) --- make k dt the subject of formula
k dt = dy/(y(1-y/K))
k dt = K dy / y(K-y)
k dt = ((1/y) + (1/(K-y)))dy ---- integrate both sides
kt + c = ln(y/(K-y))
Ce^(kt) = y/(K-y)
Substitute the values of k and K
Ce^(0.78t) = y/(6*10^7 - y) ----- (1)
Given that y(0) = 2 * 10^7kg
(1) becomes
Ce^(0.78*0) = (2 * 10^7)/(6*10^7 - 2*10^7)
Ce° = (2*10^7)/(4*10^7
C = 2/7
Substitute 2/7 for C in (1)
2/7e^0.78t = y/(6*10^7 - y) ---(2)
We're to find the biomass a year later
So, t = 1
2/7e^0.78 = y/(6*10^7 - y)
0.62 = y/(6*10^7 - y)
y = 0.62(6*10^7 - y)
y = 0.62*6*10^7 - 0.62y
y + 0.62y = 0.62*6*10^7
1.62y = 0.62*6*10^7
1.62y = 3.72 * 10^7
y = 2.30 * 10^7kg.
Hence, the biomass weighs 2.30 * 10^7 kg after a year
b.
Here, we're to calculate the time it'll take the biomass to get to 4*10^7 kg
Substitute 4*10^7 for y in (2)
2/7e^0.78t = 4*10^7/(6*10^7 - 4*10^7)
2/7e^0.78t = 4*10^7/2*10^7
2/7e^0.78t = 2
e^0.78t = (2*7)/2
e^0.78t = 2
t = 2 * 1/0.78
t = 2.56 years
Hence, it'll take 2.56 years to get to 4*10^7kg
between them?
A. Cylinder
B. Cone
C. Cube
D. Prism
A cylinder is a three-dimensional structure formed by two parallel circular bases connected by a curving surface. The correct option is A.
A cylinder is a three-dimensional structure formed by two parallel circular bases connected by a curving surface. The circular bases' centers overlap each other to form a right cylinder.
The solid is described as a three-dimensional solid made from
two parallel and congruent discs, not in the same plane, and all the points
between them is a Cylinder.
Hence, the correct option is A.
Learn more about Cylinder:
#SPJ2
Answer:
13
Step-by-step explanation:
42 + 16 = 58
58/2 = 29
29 + 13 = 42
29 - 13 = 16
Therefore if Cristiano gives his brother 13 they will both have 29 apples each. Enough to keep 29 doctors away each.
Cristiano needs to give his brother forty-two apples.
what is the GCF of both these numbers?
Answer:
the answer is 9
Step-by-step explanation:
look at all the factors of both numbers, then find the factors that they both have, and then multiply those factors