The space probe must be able to recognize 7 distinct command types.
The number of combinations that can be encoded using n bits is 2^n. Thus, the minimum number of bits required to encode at least 7 different commands would be:
2^n > 7
2^n > 2^2.80
n > 2.80
n=3
A minimum of 3 bits is required
Answer:
It could either be 455 or 680, based on assumptions.
Step-by-step explanation:
Assuming the three choices are distinct, we can calculate...
15C3 = 15·14·13/(3·2·1) = 35·13 = 455
ways to create the pizza.
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In the case where two or more of the toppings may be identical, this would lead to...
2(15C2) + 15C1 = 2·105 + 15 = 225
additional combinations, resulting in a grand total of...
455 + 225 = 680
unique pizza varieties.
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There is a multiplication factor of 2 for the two-topping selections, since it allows for variations like double anchovies and tomatoes or double tomatoes and anchovies when the topping choices are anchovies and tomatoes.
_____
nCk = n!/(k!(n-k)!)
Answer:
90 degrees
Step-by-step explanation:
Complete question
On Mr. Hunt's desk, a cup of coffee is cooling down. Its cooling can be described by the equation T=70(0.80)^x+20, where x represents time in minutes and T denotes the temperature in degrees Celsius. WHAT IS THE STARTING temperature of the coffee
To find the starting temperature, we set x = 0
Plug x = 0 into the formula;
T=70(0.80)^x+20
T =70(0.80)^0+20
Recognizing that any number raised to the power of zero equals 1, we have;
T = 70(1)+20
T = 70+20
T = 90 degrees Celsius
Thus, the starting temperature of the coffee is 90 degrees
Implicit differentiation: remember that dy/dx y = dy/dx, so take the derivative of both sides. To solve for the derivative, subtract 2x from both sides, then divide by 2y. When considering the slope, solve for it and determine where the circle intersects with the line. Substitute for y and proceed by multiplying both sides. Take the square root of both sides, accounting for both positive and negative roots, leading to x = ±10. Thus, the points located are (10,-24) and (-10,24).
Answer:
$18.56
Detailed solution:
The given distance from Oban to Stranraer is 178.9 miles.
First, determine the gallons of fuel consumed by dividing this distance by the vehicle's mileage (miles per gallon).
Next, calculate the total fuel expense by multiplying the amount of fuel used by the price per gallon, which is $0.83.
Hence, the total fuel cost for this trip amounts to $18.56.
