Answer:
The current that produces maximum power is 3A
Step-by-step explanation:
Given
[tex]P(c) = 20(c - 3)^2[/tex]
Required [Missing from the question]
The current that produces maximum power
First, we represent the function in standard form
[tex]P(c) = 20(c - 3)^2[/tex]
[tex]P(c) = 20(c - 3)(c - 3)[/tex]
Open bracket
[tex]P(c) = 20(c^2 -6c+ 9)[/tex]
[tex]P(c) = 20c^2 -120c+ 180[/tex]
The maximum value of c is:
[tex]Max(c) = \frac{-b}{2a}[/tex]
Where:
[tex]f(x) = ax^2 + b^2 + c[/tex]
By comparison: [tex]P(c) = 20c^2 -120c+ 180[/tex]
[tex]a = 20[/tex]
[tex]b = -120[/tex]
[tex]c = 180[/tex]
So, we have:
[tex]Max(c) = \frac{-b}{2a}[/tex]
[tex]Max(c) = \frac{-(-120)}{2 * 20}[/tex]
[tex]Max(c) = \frac{120}{40}[/tex]
[tex]Max(c) = 3[/tex]
Find the area of the trapezoid shown below
Answer:
A=a+b
2h
Step-by-step explanation:
4. M is the midpoint of XY. If XM = 8-t and MY = 5t-10, find tand XY.
Answer:
XY = 10
Step-by-step explanation:
By the definition of midpoint, XM would be equal to MY, so we can set both equations equal to each other;
XM = MY
8 - t = 5t - 10
=> Now add "t" to both sides of "="
8 = 6t - 10
=> add 10 from each side;
18 = 6t
=> Finally divide 6 on each side
3 = t
Now that we have the value for t, we can substitute 3 in place of "t" in any of the equation above and solve, when we have the answer, multiply it by 2 to get the value for XY.
=> 8 - 3
=> 5
=> XY = 5 * 2
=> XY = 10
Hope this helps!
What is the volume of a cylinder that has a radius of 2 meters and height of 10 meters? Use 3.14 for π
Answer:
125.66
Step-by-step explanation:
The formula for the volume of a cylinder is V=Bh, V=πr2h, or πr2h
==
π π
r 2
2 2 ≈
Vh 10125.66371
I'm not good at explaining it but this should be the answer
1. This system of equations has: y = 3x + 4
y = -X
A One Solution
B. Infinitely Many Solutions
C. No Solutions
Answer:
A) One Solution
Step-by-step explanation:
3x + 4 = -x
4 = -4x
x = -1
y = 3(-1)+4
y = 1
One Solution
Help ASAP please thanks
Answer:
8!
Step-by-step explanation:
just do 1.12 ÷ 0.14!!
have a good day :)
Answer:
8 cats
Step-by-step explanation:
Can someone help me out my grads are bad
Answer:
9
Step-by-step explanation:
39 x 39 = 1521
1521 divided by 169
= 9 good luck bro
Need answer fast thx
Answer:
50
Step-by-step explanation:
10% of 100 is 10 so times it by 5
Nicole rolls a six-sided die. What is the probability that Nicole will roll an odd number?
A.1/2
B.5/6
C.1/6
D.4/6
A cylinder has a base radius of 2 meters and a height of 2 meters. What is its volume
in cubic meters, to the nearest tenths place?
the answer is 25.1 meters3
ello i need help -^-
Answer:
d =90 e=52 f=52
Step-by-step explanation:
The angle that are crosppsinding have equal angle.
like f=e.
am
Solve the proportion.
14
y +9
10
15
y = [?]
Enter
Answer:
5
Step-by-step explanation:
PLZZZ HELPP WILL REWARD BRAINLEST
Write the polynomial in standard form, name it by its number of terms, and tell its degree
2v^2-2v^3-7+7v
-3m-8-7m^2
▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬
(Ⅰ) 2v² - 2v³ - 7 + 7v :
Standard Form → 2v³ + 2v² + 7v - 7v
Number of terms → Four (Polynomial)
Degree of Polynomial → Highest degree 3 (Cubic)
(Ⅱ) -3m -8m -7m²
Standard Form → -7m² - 8m - 3m
Number of terms → Three (Trinomial)
Degre of Polynomial → Highest degree 2 (Quadratic)
▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬
In grade 8, there are 3 teachers for every 25 students. In the examination hallthe ratio of teachers to students is 15:125, Which of the following is true?
Answer:
3:25 = 15:125
15:125 is directly proportional to 3:25.
Step-by-step explanation:
Nikki grows 20 tomato plants.
She measures their heights to the nearest centimetre, and writes them down.
Answer:
5 ≤ h < 10 = 2
10 ≤ h < 15 = 6
15 ≤ h < 20 = 10
20 ≤ h < 25 = 2
IF YOU AWNSER WROnG YOu ARE DUmmmm. Convert to slope intercopt form 4x + 3y = 6
Answer:
The slope-intercept form is
y
=
m
x
+
b
, where
m
is the slope and
b
is the y-intercept.
y
=
m
x
+
b
Step-by-step explanation:
Aunt Betty uses oranges and pineapples to make 12 pounds of fruit salad. If oranges weigh 0.5 pounds each and pineapples weigh 2 pounds each, and she uses 21 fruits in all, find the number of oranges and the number of pineapples she uses
define variables and write two equations to model the situation described in the problem
Answer:
pecuniary purveyors organization irreversible
8 POINTS I don’t understand this can anyone help?? If you answer all my other questions on BrainlyI will give you 30 points:)
Answer:
I remember my teacher saying that when you get the answer you have to * when you get the answer
Mr. Delgado has some young orange trees. He wants to plant them in 49 rows. If t is the total number of orange trees, enter an algebraic expression to represent how many trees he can plant in each row.
HURRY HELP PLS!!!
Answer:which website is it from i can help u better
Step-by-step explanation:
What is the value of y?
Answer:
y = 66
Step-by-step explanation:
Exterior angles thm:
y + y - 31 = y + 35
2y - 31 = y + 35
2y - y = 35 + 31
y = 66
A rectangle has an area of 70 m2 and dimensions, in meters, of x and x + 2. Estimate each dimension of the rectangle to the nearest meter.
Answer:
-7 and - 9
Step-by-step explanation:
Area of rectangule is length *width
The difference between two numbers is 7. The sum of three times the larger number and twice the smaller number is 16.
Drag and drop the correct options from the list menu to make each statement below true.
Answer:
28 and 12 . (QUORA)
Step-by-step explanation:
Let’s write this down. We are looking for X and Y.
The difference between two numbers is 16: −=16
Three times the larger number is seven times the smaller: ∗3=∗7
So, we need to solve X and Y from these two equations.
If we re-arrange X*3 = Y*7, we get Y = X*3/7.
So, −∗3/7=16 . −∗3/7 is the same as 7∗/7−3∗/7 , or 4∗/7 . So 4∗/7=16−>4∗=7∗16−>=7∗4=28 .
Then we just go back to −=16 , and =28 , gives us 28−=16, or =28–16−>=12 .
So the numbers are 28 and 12.
Can you please help me out????
Answer: B.) 19.6 feet.
Draw a right triangle ABC. AB will represent the ladder, with point A being on the ground and point B being against the building.
Label: AC=6 ft, m<A=73° and <C is a right angle.
Use the trig mnemonic "SOHCAHTOA" to identify that BC/AC=tan<A. So BC, which is the height the ladder reaches, equals AC*tan<A=6*tan(73)=19.6 feet.
Step-by-step explanation:
HELPPPPPPPP Write the standard form of an equation
Answer:
See the Answer Below:) I am certain this is the answer
Step-by-step explanation:
Find the area of the circle.
Use 3.14 for it.
(
d = 8 cm
A = [?] cm2
A=Tr2
The volume of a right square prism is 588 cubic centimeters and its height is 12 cm. What is the length of each side of the base
Answer:
7cm
Step-by-step explanation:
588 / 12 = 49
[tex]\sqrt{49}[/tex] = 7 * Since 7 times 7 equals 49
PLEASE ANSWER IN SCIENTIFIC NOTATION WITH STEPS PLEASE DUE BY 10:15 AM
Answer:
[tex]a) 3.6011*10^4 \ \\ b) 8.289786223^-11[/tex]
Step-by-step explanation:
Well, I hope it helps you heh
Alexia surveyed 50 classmates about their favorite ice cream flavors. Each
classmate chose one flavor. The results are shown in the circle graph.
Favorite Ice Cream Flavors
Coffee
14%
Chocolate
42%
Vanilla
Strawberry
18%
How many more of Alexia's classmates chose chocolate than chose vanilla?
Answer:
8
Step-by-step explanation:
A bag of colored candies had 38 brown candies, 6 red pieces, 19 yellow pieces, 8 blue pieces, 17 orange pieces, and 12 green pieces. How many green pieces would you expect to find in a bag of 250 candies?
Answer:
138
Step-by-step explanation:
The golden ratio is denoted by which Greek letter?
A. Beta
B. Omega
C. PHI
D. PSI
the golden ratio is denoted by which greek letter?
Φ phi
Where can you buy a ruler that is 3 feet long?
Answer:
At a yard sale
Step-by-step explanation: