The equation you will use would be <span>40x + 15x =115 </span>
<u>Given</u>:
The given expression is
We need to determine the solution of the given expression.
<u>Solution</u>:
Let us solve the exponential equations with common base.
Applying the rule, if then
Thus, we have;
Subtracting both sides of the equation by 9x, we get;
Subtracting both sides of the equation by 18, we have;
Factoring the equation, we get;
Grouping the terms, we have;
Taking out the common term from both the groups, we get;
Factoring out the common term (x - 7), we get;
Thus, the solution of the exponential equations is x = -2 and x = 7.
Hence, Option C is the correct answer.
It is expected the height of the melted wax in this shape is 9.57 inches, this height would make the volume remain constant.
<h3>What is the volume of the spherical ball?</h3>
The volume of a sphere can be calculated using the formula V = 4/3 πr³. Let's use this formula to calculate the volume of the spherical ball of wax:
- V = 4/3 π8³
- V = 4/3 π 512
- V= 4/3 x 3.1416 x 512
- V =2144.66 cubic inches
<h3>What is the height of the new shape?</h3>
Considering the volume should be the same (2144.66 cubic inches) and the volume of this shape can be calculated by multiplying the sides, this would be the equation:
- 2144.66 = 14 x 16 x y ( unknown value)
- y= 2144.66 / 14 x 16
- y = 9.57
This means the height would be 9.57 inches.
Learn more about volume in: brainly.com/question/1578538
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Answer:
x<4
Move all terms not containing x to the right side of the inequality.
Answer:
true
Step-by-step explanation: