Answer:
the answer is 14 ounces of sugar
Answer:
δL/δt = 634,38 ft/s
Step-by-step explanation:
A right triangle is shaped by ( y = distance between aircraft and ground which is constant and equal to 405 f ) a person who is at ground level 3040 f away from the tower distance x = 3040 f and the line between the aircraft and the person. Then we can use Pythagoras theorem and write
L ( distance between aircraft and person )
L² = x² + y² or L² = x² + (405)²
Taken partial derivatives with respect to t we get:
2*L*δL/δt = 2*x*δx/t + 0
Then L*δL/δt = x*δx/dt
At the moment of the aircraft passing over the tower
x = 3040 ft δx/δt = 640 ft/s and L = √ ( 3040)² + (405)²
So L = √9241600 + 164025 L = √9405625 L ≈3066,9 ft
Then:
δL/δt = 3040*640/ 3066,9 units [ ft * ft/s / ft ] ft/s
δL/δt = 634,38 ft/s
Answer: 943.26
Step-by-step explanation:
9.4326
x 100
------------
943.26
32 gallons of 25 % antifreeze should be combined with 8 gallons of 50 % antifreeze to get 40 gallon of 30% antifreeze
<h3><u>
Solution:</u></h3>
From given,
Final mixture is 40 gallon
Let "x" be the gallon of 25 % antifreeze
Then, (40 - x) is the gallon of 50 % antifreeze
Therefore, according to question,
"x" gallons of 25 % antifreeze should be combined with (40 - x) gallons of 50 % antifreeze to get 40 gallon of 30% antifreeze
<h3><u>Therefore, we frame a equation as:</u></h3>
25 % of x + 50 % of (40 - x) = 30 % of 40
Solve for "x"

Thus, 32 gallons of 25 % antifreeze is used
Then, (40 - x) = (40 - 32) = 8
Thus 8 gallons of 50 % antifreeze is used
Answer:
a. The number of custom necklaces that can be manufactured if each requires 2 7/8 ounces of gold is 74 necklaces.
b. The value of the gold in each necklace is $1761
Step-by-step explanation:
(a) Number of necklaces
2
ounces of gold=2.875
No of necklaces=212.75oz x 1 necklaces/2.875oz
=74 necklaces
(b)Value of gold in each necklace
There are 2.875 oz of 14K gold in each necklace. Pure gold is 24K.
Mass of pure gold=2.875oz x 14k/24k
=1.677083oz
Pure 24K gold is worth $1050/oz.
Value of pure gold=1.677oz x 1050/1oz
= 1760.9 dollars
The value of the gold in each necklace is $1761
#SPJ4
Learn more on
brainly.com/question/12983156