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SIZIF [17.4K]
2 years ago
6

3. A mysterious metal medallion has a mass of 3,088 grams. Water is poured into a graduated glass container with a 10-by-10 cm s

quare base with a water level of 53.0 cm. The medallion is dropped into the container and the water level rises to 54.6 cm. Find the volume and the density of the medallion.​
Mathematics
1 answer:
Gekata [30.6K]2 years ago
6 0

Step-by-step explanation:

Volume of displaced water = (10cm)(10cm)(1.6cm)

= 160 cm^3

density = mass/vol of displaced water

= 3088 grams/160 cm^3

= 19.3 g/cm^3

P.S. This is most likely a pure gold medallion.

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The function f(x) = –x2 + 20x – 75 models the profit from one customer, in dollars, a shop makes for printing photos, where x is
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The function is graphed as shown below

Part A:

We use the formula - \frac{b}{2a} to find the vertex of the function. A quadratic function of the form of a x^{2} +bx+c and equating this form to the given function - x^{2} +20x-75, we have
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Substituting a and b into the vertex formula, we have
x=- \frac{20}{2(-1)}=10, as shown in the graph

This calculation means that the highest profit is achieved when the number of photo printed equals to ten photos

Part B:

We can find solution to this equation by factorising

- x^{2} +20x-75=0
-( x^{2} -20x+75)=0
x^{2} -20x+75=0
(x-5)(x-15)=0
x=5 and x=15, as shown in the graph

The two values means that the company makes no profit when they either produce 5 or 15 photos

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(8.99x10^15) in standard form
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Study quadrilateral ABCD. Which graph of ABCD shows the reflection of quadrilateral ABCD across the line y=x
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Answer:

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Step-by-step explanation:

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