Answer:

If
is constant, say k
Then,

∴ d ∝ w
Hence, weight is proportional to the density
Step-by-step explanation:
From the question,
Let w denote the weight of the rock in pounds
s denote the size of the rock in cubic inches and
d denote the density of the rock in pounds per cubic inch.
First, we will write the equation connecting w, s, and d.
We get

That is,

Now, given a 48-cubic-inch rock with weight w pounds, to show the proportional relation between the weight and the density, we will write

If
is constant, say k
Then,

∴ d ∝ w
Hence, density is proportional to the weight OR weight is proportional to the density
Answer:
a. ∠B
b. DC
Step-by-step explanation:
a. Since ABCDE and GHJDF are similar shapes, this implies that the angle of one point in one shape is equal to another angle of one point in the other shape. In this case, ∠H is equivalent to ∠B because they share the same relative point between the shapes. You can also approach this question by identifying that H is the second letter in the shape name. If you look at B, you will also notice that the second letter in the shape name is B.
b. Just like in part a, you are trying to find one relative value in one shape that is equal to the other shape. Look at the left side of the equation, you will notice that it is a ratio of sides. The goal is to match the left with the right side. The ratio is side GH:DJ. Notice that it is a ratio of the top right side to the bottom side of the shape. If you follow this format for shape ABCDE , you will notice that the top right side is AB and the bottom side is DC. Since the question is just asking for the denominator of the ratio, your answer is just DC
Answer:
Angle 3 is 49 degrees
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Explanation:
Angle 1 is 50 degrees and angle 2 is 48 degrees. Added up, they total to 98 degrees. This is angle DEF.
Angle DEF is congruent to angle ABC because they are alternate exterior angles and because lines m and n are parallel
We are told that angle ABC is bisected (aka cut in half) because of line s; which means that the angles labeled "4" and "5" are exactly half that of angle ABC = 98 degrees
Therefore, angle 4 is 98/2 = 49 degrees and so is angle 3 (due to angles 3 and 4 being vertical angles; angle 3 = angle 4)
The option (A) "The graph of function f is shifted right 3 units and up 4 units. " is correct.
<h3>What is a function?</h3>
It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a transformation function:
g(x) = f(x - 3) + 4
The parent function is f(x).
First transformation:
x → (x - 3)
The function will shift right by 3 units.
Second transformation:
Add 4 to the function:
g(x) = f(x - 3) + 4
The function will shift up by 4 units.
Thus, the option (A) "The graph of function f is shifted right 3 units and up 4 units. " is correct.
Learn more about the function here:
brainly.com/question/5245372
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