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Hoochie [10]
2 years ago
12

Bob has 150 grams of gold, and he wants to use it all to make a cube. Given that the density of gold is 19.3 grams / cubic centi

meter, how long should each side of the cube be? (Round your answer to the nearest hundredth.) Show all work/Explanation
Mathematics
1 answer:
Mice21 [21]2 years ago
4 0

Answer:

1.98 cm side length of the cube

Step-by-step explanation:

150 gm / 19.3 gm/cm^3 = 7.77202 cm^3

  take the cube root to find the side length = 1.98 cm

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l think 3rd option must be answer

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Please Help TYSM Owl monkeys sleep during the day, waking about 15 mins after sundown to find the food. At midnight, they rests
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What’s the circumference and the area for 4 in
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Answer:

C = 25.12 , A = 50.24

Step-by-step explanation:

C = \pi d\\A = \pi r^{2}

C = 8 * 3.14 = 25.12

A = (4*4) * 3.14 = 50.24

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The graph shows the functions f(x), p(x), and g(x): Graph of function g of x is y is equal to 1 plus the quantity 1.5 raised to
satela [25.4K]
Part A:

Given that the <span>straight line p(x) joins the ordered pairs (0, 2) and (1, -5), thus the equation of the line joining ordered pairs (0, 2) and (1, -5) is given by

\frac{y-2}{x} = \frac{-5-2}{1} =-7 \\  \\ \Rightarrow y-2=-7x \\  \\ \Rightarrow y=-7x+2

Thus, p(x) = -7x + 2

</span>Given that the <span>straight line f(x) joins the ordered pairs (4, 1) and (2, -3), thus the equation of the line joining ordered pairs (4, 1) and (2, -3) is given by

\frac{y-1}{x-4} = \frac{-3-1}{2-4} =\frac{-4}{-2}=2 \\  \\ \Rightarrow y-1=2(x-4)=2x-8 \\  \\ \Rightarrow y=2x-7

Thus, f(x) = 2x - 7
</span>
The solution to the pair of equations represented by p(x) and f(x) is given by

p(x) = f(x)
⇒ -7x + 2 = 2x - 7
⇒ -7x - 2x = -7 - 2
⇒ -9x = -9
⇒ x = -9 / -9 = 1

Substituting for x into p(x), we have

p(1) = -7(1) + 2 = -7 + 2 = -5

Therefore, the solution to the pair of equations represented by p(x) and f(x) is  (1, -5)



Part B:

From part A, we have that f(x) = 2x - 7

when x = -8

f(-8) = 2(-8) - 7 = -23

Thus, (-8, -23) is a solution to f(x).

When x = -10

f(-10) = 2(-10) - 7 = -27

Thus, (-10, -27) is a solution to f(x).

Therefore, two solutions of f(x) are (-8, -23) and (-10, -27).



Part C:

From part A, we have that p(x) = -7x + 2, given that g(x) = 1 + 1.5^x

From the graphs of p(x) and g(x), we can see that the two graphs intersected at the point (0, 2).

Therefore, the solution to the equation p(x) = g(x) is (0, 2).

3 0
3 years ago
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