Answer:
c = 4 A
Step-by-step explanation:
The given function P(c) = - 15 c (c-8) is actually quadratic function:
P(c) = - 15c² + 120c or parabola
The standard form of a quadratic function is:
y = ax² + bx + c
For which x is the maximum of the parabola we can find with this formula
x = - b/2a
in this case a = -15 and b = 120 and input variable is current c
c = - 120/(2 · (-15)) = - 120/ (-30) = 4 A
c = 4 A
God with you!!!
The gallons of the first brand of antifreeze should be 60 gallons.
The gallons of the second brand of antifreeze should be 90 gallons.
<h3>What are the linear equations that represent the question?</h3>
0.2f + 0.45s = 52.50 (0.35 x 150) equation 1
f + s = 150 equation 2
Where:
- f = gallons of the first antifreeze
- s = gallons of the second antifreeze
how many gallons of each brand of antifreeze must be used?
Multiply equation 2 by 0.2
0.2f + 0.2s = 30 equation 3
Subtract equation 3 from equation 2
0.25s = 22.50
s = 22.50 / 0.25
s = 90
f = 150 - 90 = 60 gallons
To learn more about linear functions, please check: brainly.com/question/26434260
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Answer:
The answer to your question is the letter A. 20 ft²
Step-by-step explanation:
Data
length of a side = 10 ft
length of the diameter = 10 ft
length of the radius = 5 ft
Process
1.- Calculate the area of the square
Area of the square = side x side
= 10 x 10
= 100 ft²
2.- Calculate the area of the circle
Area = πr²
Area of the circle = (3.14)(5)²
Area of the circle = 78.5 ft²
3.- Calculate the remaining area
Remaining area = 100 - 78.5
Remaining area = 21.5 ft² ≈ 20 ft²
Answer:
1-(n+6) (n+6)-1
Step-by-step
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The conversion of feet to meters is obtained by multiplying 1 foot = 0.3048 meters.
<h3>What are the basic measurements for length?</h3>
Foot, inches, centimeters, and meters are the basic measuring units for length.
<h3>What are the basic conversions?</h3>
The basic conversions are:
1 kilometer = 1000 meters
1 meter = 100 cm
1 cm = 10 mm
1 mm = 0.03937 inch
1 inch = 0.0833 feet.
<h3>How to convert feet to meters?</h3>
According to the international system of units,
1 foot = 12 inches ...(1)
But we know,
1 inch = 25.4 mm, 1 mm = 0.1 cm, and 1 cm = 0.01 m
By substituting all of these in equation (1), we get
1 foot = 12(25.4 mm)
= 304.8 mm
= 304.8 (0.1 cm)
= 30.48 cm
= 30.48(0.01 m)
= 0.3048 meters
Therefore, 1 foot = 0.3048 meters.
Learn more about converting measuring units here:
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