The answer is C as D is too much as 3 tons equal around 6000 pounds
Answer:
f(t) = 700(1.035)^t.
Step-by-step explanation:
Initial value is given as 700 students and this corresponds to time t = 0.
The growth factor is 1 plus 3.5% = 1.035.
The time t is in years.
Equation can be used to represent the altitude of the balloon, b, based on time, t be 3000-80x
<h3>What is equation?</h3>
An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Given:
A hot-air balloon is traveling at an altitude of 3,000 feet.
It begins to descend at a rate of 80 feet per minute.
let x be the time in minutes.
let y be the altitude in feet.
Hence, equation will be = 3000-80x
Learn more about his concept here:
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Answer:
a) 3⁵5³.
b) 1
c) 23³
d) 41·43·53
e) 1
f) 1111
Step-by-step explanation:
The greatest common divisor of two integers is the product of their common powers of primes with greatest exponent.
For example, to find gcd of 2⁵3⁴5⁸ and 3⁶5²7⁹ we first identify the common powers of primes, these are powers of 3 and powers of 5. The greatest power of 3 that divides both integers is 3⁴ and the greatest power if 5 that divides both integers is 5², then the gcd is 3⁴5².
a) The greatest common prime powers of 3⁷5³7³ and 2²3⁵5⁹ are 3⁵ and 5³ so their gcd is 3⁵5³.
b) 11·13·17 and 2⁹3⁷5⁵7³ have no common prime powers so their gcd is 1
c) The only greatest common power of 23³ and 23⁷ is 23³, so 23³ is the gcd.
d) The numbers 41·43·53 and 41·43·53 are equal. They both divide themselves (and the greatest divisor of a positive integer is itself) then the gcd is 41·43·53
e) 3³5⁷ and 2²7² have no common prime divisors, so their gcd is 1.
f) 0 is divisible by any integer, in particular, 1111 divides 0 (1111·0=0). Then 1111 is the gcd
Answer:
w = 33.94 ft
Step-by-step explanation:the roof takes the shape of a right angle. The top of the roof is a right angle. To find the width of the house, which is the hypotenuse of the triangular roof, we would apply pythagorean theorem.
Thus:
Square both sides
(to 2 decimal places)
The width of the house = 33.94 ft
