Which expression represents the composition [f o g o h](x) for the functions below? f(x) = –2x^4 g(x) = 4x – 6 h(x) = x – 1

Mathematics

2 answers:

pantera1 [17]3 years ago

6 0

The expression would be -2( 4 (x-1) - 6 )^4.

BARSIC [14]3 years ago

5 0

Answer: A. -2(4x-10)^4 on edge :)

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18. The Tennis for Champs company is looking into new ways to package tennis balls. The packaging engineer at the company is exp

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Answer:

Amount of empty space in the cylinder = 395.64 cm³

Step-by-step explanation:

Since the cylinder contains 3 tennis balls each measuring 6 cm in diameter, we can say that the diameter of the cylinder is 6 cm because the balls are on top of each other. Since we have 18 cm is the height of the cylinder,then;

Formula for volume of a cylinder is;

V = πr²h

We are to use π = 3.14

Thus, V_cylinder = 3.14 × (6/2)² × 18

V_cylinder = 508.68 cm³

Volume of a tennis ball is;

V_tennis ball = (4/3)πr³

V_tennis ball = (4/3) × 3.14 × (6/2)³

V_tennis ball = 37.68 cm³

Thus, volume of 3 tennis balls = 3 × 37.68 = 113.04 cm³

Amount of empty space in the cylinder = V_cylinder - V_3 tennnis ball = 508.68 - 113.04 = 395.64 cm³

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3 years ago

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iren2701 [21]

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Step-by-step explanation:

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3 years ago

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Jan.1 Jerome concocts a rumor and tells

LuckyWell [14K]

Number of people who have heard it
by the end of the day:

January 1 . . . . . 2
January 2 . . . . . 4
January 3 . . . . . 8
January 4 . . . . . 16
January 5 . . . . . 32
January 6 . . . . . 64
January 7 . . . . . 128
January 8 . . . . . 256
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February 1 . . . . . 4,294,967,296
February 2 . . . . . 8,589,934,592 <=== more than the Earth's
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4 years ago

What initial investment must be made to accumulate $60000 in 17 years if the money is invested in a mutual fund that pays 12% an

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$7881.18

Step-by-step explanation:

Let the initial Investment be $P_{0}$ . The Interest is compounded on a monthly basis at 12% annual interest rate. After 17 years, the Investment amounts to $60,000.

As the annual interest rate is 12%, the monthly interest rate is 1%.

Since this is a compound interest problem, the total amount can be modeled as follows: $P(t)=P_{0}(1+\frac{i}{100})^{t}$

Here $i$ is the interest rate, i.e $1$ , and t is the number of time periods, i.e $17\textrm{ years x }12\frac{\textrm{months}}{\textrm{year}}$ = $204\textrm{ months}$