Answer:
The constant of proportionality for the group of boxes is: 25
Step-by-step explanation:
Proportion means that change in one quantity causes change in other quantity. Direct variation means that increase in one quantity causes increase in the other quantity.
Let l be the length and v be the volume
Then according to given statement
V∝l
Removing the proportionality symbol introduces a constant in the equation

Putting V = 325 and l = 13

Hence,
The constant of proportionality for the group of boxes is: 25
The missing digit is number 3. The total amount should be $132
I multiplied 11 by the numbers 10 and above to get the possible three digit answer who has 1 as the first digit and 2 as the last digit.
11 x 10 = 110
11 x 11 = 121
11 x 12 = 132
The 11 members of the Middle School Math club each paid $12 for a guest speaker.
In the given diagram, the measure of ∠3 will be 105°.
In the given diagram, ∠3 and ∠6 are consecutive interior angles.
<h3>How to form supplementary angles by transversal?</h3>
If two parallel lines are cut by a transversal, then the pairs of consecutive interior angles formed are supplementary.
That is,
∠3 + ∠6 = 180°
From the given information,
∠6 = 75°
Then,
∠3 + 75° = 180°
∠3 = 180° - 75°
∠3 = 105°
Hence, the measure of ∠3 will be 105°.
Learn more about the measures of angles here: brainly.com/question/2883630
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Answer:
For instance, if the point (1, 3) is on the graph of the function, then the point (3, 1) is on the graph of the inverse. That is, if you start with x = 1, you will go to y = 3; then you plug this into the inverse, and you'll go right back to x = 1, where you started from.
Answer:
Option C.
Step-by-step explanation:
The general exponential equation is
It is given that the graph of exponential function passes through points (4,8) and (6,32). It means the equation of exponential function must be satisfied by these points.
...(1)
...(2)
Divide equation (2) by equation (1).
Taking square root on both sides.
Put b=2 in (1).
Substitute a=0.5 and b=2 in the given general exponential equation.
Therefore, the correct option is C.