The power generated by an electrical circuit (in watts) as a function of its current ccc (in amperes) is modeled by: P(c)=-20(c-3)^2+180P(c)=−20(c−3) 2 +180
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]
In school, Philip learned that the average person produces 50 pounds of recyclables every month. But, they usually throw away twice that much garbage. He wonders what that means for his family. Philip lives with his mother, father, and 2 sisters. About how many tons of garbage does Philip's family throw away every year?
Answer:
6000 tons
Step-by-step explanation:
dirt thrown by one person = 50 x 2 = 100
there are 5 people in the home
dirt thrown by the family in a month = 100 x 5 = 500
In a year = 500 x 12 = 6000
What is the surface area of this composite figure?
Answer:
Step-by-step explanation:
According to this diagram, what is cos 16°? 25 90° 24 OA OB. 곪 24 7 OC. OD.
Answer:
None of the listed answers are correct.
cos16º = 24/25
Step-by-step explanation:
cos∅ = adj/hyp
adj = 24
hyp = 25
cos 16º = 24/25
How many feet of fencing is needed to enclose a rectangular garden with a 9 foot long side and a 15 foot long diagonal
Answer:
42 ft
Step-by-step explanation:
To find the unknown side:
[tex]\sqrt{15^2-9^2} =12[/tex]
Total perimeter: 2(12 + 9) = 42 ft
Identify the graphed linear question.
A. y=5x+2
B. y=5x-2
C. y= -5x+2
D. y= -5x-2
Answer:
The answer is: y= -5x-2
Step-by-step explanation:
I hope it help.
hi! please help i’ll give brainliest
Answer:
Third option: Rocks being broken apart
Step-by-step explanation:
Have a good day :)
Answer: rock being broken apart
Step-by-step explanation:
Select all the
expressions that are equivalent to 4−3.
Answer:
B,C,D are equivalent to 4^-3
Answer:
B and c and D
Step-by-step explanation:
I think that is the right answer
Determine whether the polygons are similar. If so, write a similarity
statement and give the scale factor. If not, explain.
Answer:
yes, because of the Angle-Angle-Angle theorem
scale factor = 2
Step-by-step explanation:
A television program asks its viewers to visit a Web site to indicate their preference for two presidential candidates. 76% of the viewers who responded preferred candidate A. In a town of 50,000, how many would you expect to choose candidate A?
Find the value or measure below. Assume that lines that appear tangent to be tangent.
Answer:
x = 11.2
Step-by-step explanation:
hypotenuse = 8.4 (radius) + 5.6 = 14
using the Pythagorean theorem:
x² = 14² - 8.4² = 196 - 70.56 =125.44
x = √125.44 = 11.2
THIS IS FOR TODAY SOMEONE HELP ME PLS!!!
NO LINKS PLEASE PLEASE
Step-by-step explanation:
Angle M = Angle R
47x - 17 = 32x + 28
15x = 45
x = 3
Angle M = 47(3) - 17 = 124°
Angle R = Angle M = 124°
Angle Q = 180 - Angle M = 56°
Angle N = Angle Q = 56°
Molly earned $135 for working 5 hours. How much did Molly earn per hour?
Answer:
$27
Step-by-step explanation:
[tex]\frac{135}{5}[/tex]
[tex]=27[/tex]
$27/hour
135 ÷ 5 = 27
Molly earned $27 per hour
help please im horrible at this stuff T-T
Answer:
I dont know for sure but I would have to guess DC because there's no line connecting the 2
Please do answer DC at your own risk though.
Answer:
DC
Step-by-step explanation:
Because there not connected to eachother
R and S represent positive integers on a number line and R
Answer:
D u got it right if thats wrong then its C
Step-by-step explanation:
MRK ME BRAINLIEST PLZZZZZZZZZZZZZZZZZZ
Answer:
The answer is c. I know the rest of the problem, I have done this before. The full question is:R and S represent positive integers on a number line
and R<S. Which of the following could be the
positions of R and S ? Both R and S is on the right of 0, and R is behind S.
Step-by-step explanation:
Use the long division method to find the result when 6x3 + 10x² + 7x + 2 is
divided by 3x + 2.
Answer:
6x3+10x2+7x+2/3x+2
Step-by-step explanation:
Question 6 (4 points)
(07.06)
There are currently 4 people signed up to play on a baseball team. The team must
have at least 9 players.
Which of the following graphs includes the possible values for the number of people
who still need to sign up for the team? (4 points)
1)
-10-9-8-7-6-5-4-3-2-1 0 1 2 3 4 5 6 7 8 9 10
24H
-10-9-8-7-6-5-4-3-2-1 0 1 2 3 4 5 6 7 8 9 10
NE
OHHH
1 2 3 4 5 6 7 8 9 10
-10-9-8-7-6-5
4) st
-10-9-8-7-6-5-4-3-2-1 0 1 2 3 4 5 6 7 8 9 10
The graph of inequality that represents the scenario is graph (b)
The given parameters are:
People signed up = 4
People needed = At least 9
Represent the number of people who are still needed with x.
So, we have the following inequality expression
[tex]x + 4 \ge 9[/tex]
Subtract 4 from both sides
[tex]x \ge 5[/tex]
The above means that, 5 or more people are still needed
The graph of inequality that represents [tex]x \ge 5[/tex] is graph (b)
Read more about inequalities at:
https://brainly.com/question/25275758
50 points HELP PLEASEEE
We all know how toilet paper has been horded during the pandemic. Your
teacher has cleared out a closet to hoard TP. Using the Fermi process, you need to
estimate the number of rolls of TP she can fit into a rectangular prism section of a
closet with dimensions of 36 in. by 108 in. by 36 in. Measure a roll of TP at your
home, remember it is a cylinder you need its radius and height to calculate its size.
Radius: _________ Height: ____________
About how many rolls of TP can fit into the closet section?
Answer:
radius: 78 height: 92
im so sorry if im wrong! i did math and everything!
Assume the radius is 5 and the height is 4.
We first need to find the volume of both the TP roll and the volume of the closet.
In order to find the volume of the TP roll, we need to use the formula [tex]V[/tex] = [tex]\pi[/tex][tex]r^{2}[/tex][tex]h[/tex] (r meaning radius and h meaning height), so that means we have to do 3.14 × 5 × 5 × 4.
After solving, we get 314 as our answer.
Next we need to find the Volume of the closet by using the formula L × W × H (L meaning Length, W meaning Width, and H meaning height), so that means we have to do 36 × 108 × 36.
We then get 139,968 as our answer.
The last thing we need to do is 139,968 ÷ 314.
The answer we get is 445.
So the answer to this question is: About 445 rolls of TP can fit into the closet.
Determine the area of the shaded region.
15 m
24 m
10 m
10 m
5 m
5 m
Answer:
230
Step-by-step explanation:
What is the volume of this triangular prism
Answer:
hey you are in 9th Or 10th class
help me and ill give u points (math)
Answer:
64+27=97+X
x =91-97
x=-6
If the volume of this cube (15 cm and 5 cm) is 525 cm3,then the length of the missing side is what cm?
The following box plot shows the number of years during which 40 schools have participated in an interschool swimming meet:
A box and whisker plot is drawn using a number line from 0 to 10 with primary markings and labels at 0, 5, 10. In between two primary markings are 4 secondary markings. The box extends from 1 to 6 on the number line. There is a vertical line at 3.5. The whiskers end at 0 and 8. Above the plot is written Duration of Participation. Below the plot is written Years.
At least how many schools have participated for more than 1 year and less than 6 years? (5 points)
a
4 schools
b
8 schools
c
10 schools
d
20 schools

Answer:
i dont knowwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww
Step-by-step explanation:
Keisha works as a tutor for $13 an hour and as a waitress for $9 an hour. This month, she worked a combined total of 101 hours at her two jobs. Let t be the number of hours Keisha worked as a tutor this month. Write an expression for the combined total dollar amount she earned this month.
Answer:
Keisha got $2,222 that month
Step-by-step explanation:
Answer:
its 2,222
Step-by-step explanation:
i got it right
Which equivalent expression can be used to solve the quotient 2/3 divided by 4/5
Answer:
5/6
Step-by-step explanation:
Divide it
The equivalent expression can be used to solve the quotient 2/3 divided by 4/5 is 5/6.
What is division?Division is a method of distributing a group of things into equal parts. It is one of the four basic operations of arithmetic, which gives a fair result of sharing.
The equivalent expression that can be used to solve the quotient 2/3 divided by 4/5 is;
[tex]= \dfrac{\dfrac{2}{3}}{\dfrac{4}{5}}\\\\=\dfrac{2}{3} \times \dfrac{5}{4}\\\\=\dfrac{1}{3} \times \dfrac{5}{2}\\\\=\dfrac{5}{6}[/tex]
Hence, the equivalent expression can be used to solve the quotient 2/3 divided by 4/5 is 5/6.
Learn more about division here;
https://brainly.com/question/22850643
#SPJ2
A certain triangle, one angle measures ten degrees more than the second angle and ten degrees less than the third angle. What is the measure of the smallest angle?
Answer:
50°
Step-by-step explanation:
Let :
Let the angle = x
Second angle = x + 10
Third angle = x - 10
Sum of angles in a triangle = 180
x + (x + 10) + (x - 10) = 180
x + x + 10 + x - 10 = 180
3x = 180
x = 180 / 3
x = 60
Smallest angle :
x - 10 = 60 - 10 = 50°
The loudness, L, measured in decibels (Db), of a sound intensity, I, measured in watts per square meter, is defined as L = 10 log StartFraction I Over I 0 EndFraction, where I 0 = 10 Superscript negative 12 and is the least intense sound a human ear can hear. Jessica is listening to soft music at a sound intensity level of 10^-9 on her computer while she does her homework. Braylee is completing her homework while listening to very loud music at a sound intensity level of 10^-3 on her headphones. How many times louder is Braylee’s music than Jessica’s?
Answer:
Braylee’s music is 3 times louder than Jessica's
Step-by-step explanation:
Given
[tex]L = 10\log\frac{I}{I_0}[/tex]
[tex]I_0 = 10^{-12}[/tex]
Required
Number of times Braylee's music is louder than Jessica's
First, we calculate the loudness of Jessica's music.
From the question;
[tex]I = 10^{-9}[/tex]
So, we have:
[tex]L = 10\log\frac{I}{I_0}[/tex]
[tex]L = 10\log\frac{10^{-9}}{10^{-12}}[/tex]
Apply law of indices
[tex]L = 10\log{10^{12-9}}[/tex]
[tex]L = 10\log{10^3[/tex]
Apply law of logarithm
[tex]L = 3*10\log{10[/tex]
[tex]\log10 = 1[/tex]
So:
[tex]L_1 = 3*10*1 = 30[/tex]
First, we calculate the loudness of Braylee's music.
From the question;
[tex]I = 10^{-3}[/tex]
So, we have:
[tex]L = 10\log\frac{I}{I_0}[/tex]
[tex]L = 10\log\frac{10^{-3}}{10^{-12}}[/tex]
Apply law of indices
[tex]L = 10\log{10^{12-3}}[/tex]
[tex]L = 10\log{10^9[/tex]
Apply law of logarithm
[tex]L = 9*10\log{10[/tex]
[tex]L_2 = 9*10*1 = 90[/tex]
At this point, we have:
[tex]L_1 = 30[/tex] --- Jessica's
[tex]L_2 = 90[/tex] --- Braylee's
Divide L2 by L1 to get the required number of times
[tex]n = \frac{L_2}{L_1}[/tex]
[tex]n = \frac{90}{30}[/tex]
[tex]n = 3[/tex]
Answer:
D.
Step-by-step explanation:
ILL MARK BRAINLIEST PLEASE HELP!!!
What is the solution to the equation
х
6
12
O x= 1
O x= 2
O x=8
O x= 4
Answer:
B is your answer
Step-by-step explanation:
Hope it is right.
Please help with this math question
1. Charles is mixing a 12 ounce can of apple juice
concentrate to make juice. The recipe says:
Mix one can of concentrate with 4 cans of water.
How large a pitcher will she need (answer in ounces)?