Answer:
Step-by-step explanation:
Simplify:
Group same factor:
Add :
Apply the distributive law: -(a+b) = -a - b
Group same factor:
Subtract:
Add:
Group same factor:
Hence answer =
<u><em>~lenvy~</em></u>
The <em><u>correct answer</u></em> is:
46.6 days
Explanation:
The general form for exponential growth is
, where A is the total amount, p is the initial amount, r is the percent of growth, and t is the amount of time (in this case, days).
We do not know the initial amount, the total amount, or the amount of time. We do know that r, the percent of growth, is 1.5%; 1.5% = 1.5/100 = 0.015:
We also know we want the total amount, A, to be twice that of the initial amount, p:
Divide both sides by p:
Using logarithms to solve this,
Answer:
840 cubes
Step-by-step explanation:
First we need to find the volume of each one:
Rectangular prism: Volume = 10.5 * 5 * 2 = 105 in3
Cube: Volume = 0.5 * 0.5 * 0.5 = 0.125 in3
Now, to find how many cubes can fit inside the prism, we just need to divide the volume of the prism by the volume of the cube:
Number of cubes = 105 / 0.125 = 840 cubes
Range of values of x is 25°<x<27°.
<u>Step-by-step explanation:</u>
An angle is formed when two rays, a line with one endpoint, meet at one point called a vertex.Alternate interior angles are formed when a transversal passes through two lines. The angles that are formed on opposite sides of the transversal and inside the two lines are alternate interior angles. The Alternate Interior Angles theorem states, if two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent.
In above question, sides are equal and so alternate interior angles are equal i.e. 2x + 10° = 62° ⇒ 2x = 52° ⇒ x =26°
∴ range of values of x is 25°<x<27°
