Answer:
2x-64<108
One solution was found :
x < 86
Rearrange:
Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :
2*x-64-(108)<0
Step by step solution :
Step 1 :
Pulling out like terms :
1.1 Pull out like factors :
2x - 172 = 2 • (x - 86)
Equation at the end of step 1 :
Step 2 :
2.1 Divide both sides by 2
Solve Basic Inequality :
2.2 Add 86 to both sides
x < 86
Answer:
-$0.16
Step-by-step explanation:
The expected value is the sum of the outcomes multiplied by their probabilities.
E(X) = 1/38 (+68) + 37/38 (-2)
E(X) = -0.16
Answer: the population after 10 years is 12036
Step-by-step explanation:
We would apply the formula for exponential growth which is expressed as
A = P(1 - r)^ t
Where
A represents the population after t years.
t represents the number of years.
P represents the initial population.
r represents rate of growth.
From the information given,
P = 14000
r = 1.5% = 1.5/100 = 0.015
t = 10 years
Therefore, the exponential decay equation to find the population of the town after 10 years is
A = 14000(1 - 0.015)^10
A = 14000(0.985)^10
A = 12036
Answer:348
Step-by-step explanation:
For composite prisms, where the bases are a composite shape, the area of the bases is the sum of the areas of the parts it is made of. The volume of the composite prism is then given by multiplying the whole base area by the height of the prism.In math, volume is the amount of space in a certain 3D object. For instance, a fish tank has 3 feet in length, 1 foot in width and two feet in height. To find the volume, you multiply length times width times height, which is 3x1x2, which equals six. So the volume of the fish tank is 6 cubic feet.
You can drag in the first empty box ∡3 and get ∡2≅∡3.
In the second box you can drag '' definition of angle bisector ''.
In the third empy box you can drag ∡1 and get ∡1≅∡3.
At last empy box you can drag ''transitive property of congruence''
Good luck!!!
