Let the numbers be x and y. They differ by 46. Then x = y + 46.
Their product is P = xy. Since x = y + 46, P = xy = (y + 46)y, or
P = y^2 + 46y. You could graph this and then identify the coordinates of the vertex, which would give you the minimum value of P.
Or you could differentiate P(y) with respect to y, set the result = to 0, and solve for y:
2y + 46 = 0; y = -23. x = y + 46, or +23.
The vertex of the graph of this parabola represents the minimum value of the product P. It is (23, 46), and 46 is the smallest possible product here.
To answer the question, divide the fiber intake during breakfast by the total fiber intake prescribed by the doctor and multiply with 100%. With the given above,
(4 / 25) x 100% = 16%
Thus the fiber intake during breakfast constitutes 16% of the total fiber intake.
The volume of the fountain cup in gallons is 4775.2 gallons
<h3>Volume of a frustum</h3>
Since the fountain cup is in the shape of a frustum, its volume is given by
V = πh/3(r² + rr' + r'²) where
- h = height of cup = 8 feet,
- r = radius of base of cup = 4 feet and
- r' = radius of top of cup = 6 feet.
So, substituting the values of the variables into th equation, we have
V = πh/3(r² + rr' + r'²)
V = π × 8 ft/3[(4 ft)² + 4 ft × 6 ft + (6 ft)²]
V = π × 8 ft/3[16 ft² + 24 ft² + 36 ft²]
V = π × 8 ft/3 × (76 ft²)
V = 608π ft³/3
V = 1910.088 ft³/3
V = 636.69 ft³
V ≅ 636.7 ft³
<h3>
Volume of the fountain cup in gallons</h3>
Since there are 7.5 gallons per cubic foot,
The volume of the fountain cup in gallons is V = 636.7 ft³ × 7.5 gallons/ft³ = 4775.2 gallons
So, the volume of the fountain cup in gallons is 4775.2 gallons
Learn more about volume of a frustum here:
brainly.com/question/14268491
Answer:

Step-by-step explanation:
Angles <em>B</em><em> </em>and<em> </em><em>C</em><em> </em>form a straight angle, so you set both expressions equal to 180°:
180° = (2x + 15)° + x°
180° = 15° + [3x]°
- 15° - 15°
____________
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Answer:
Step-by-step explanation:
Formula: πr
h
to find the radius, multiply 6×2= 12 r=12
πr
×3
to simplify that equation... π×12²×3 = 1357.168026350790679
I THINK I DID THIS CORRECTLY, SORRY IF IT IS WRONG...