The power generated by an electrical circuit (in watts) as a function of its current x xx (in amperes) is modeled by P ( x ) = − 15 x ( x − 8 ) P(x)=−15x(x−8)P, left parenthesis, x, right parenthesis, equals, minus, 15, x, left parenthesis, x, minus, 8, right parenthesis What current will produce the maximum power?
Given:
The power generated by an electrical circuit (in watts) as a function of its current x (in amperes) is modeled by
[tex]P(x)=-15x(x-8)[/tex]
To find:
The current which will produce the maximum power.
Solution:
We have,
[tex]P(x)=-15x(x-8)[/tex]
[tex]P(x)=-15x^2+120x[/tex]
Differentiate with respect to x.
[tex]P'(x)=-15(2x)+120(1)[/tex]
[tex]P'(x)=-30x+120[/tex] ...(i)
To find the extreme point equate P'(x)=0.
[tex]-30x+120=0[/tex]
[tex]-30x=-120[/tex]
Divide both sides by -30.
[tex]x=4[/tex]
Differentiate (i) with respect to x.
[tex]P'(x)=-30(1)+(0)[/tex]
[tex]P'(x)=-30<0[/tex] (Maximum)
It means, the given function is maximum at x=4.
Therefore, the current of 4 amperes will produce the maximum power.
Answer:
its 4 amperes
Step-by-step explanation:
khan said so
PLS HELP ILL MARK YOU BRAINEST DUE IN 20 MINSS
Answer:
well the numbers are 58 60 62 64 and 66
Step-by-step explanation:
it's because when u add these 5 numbers u get 310 hope this helps
Answer: 62
Step-by-step explanation:
Nishi invests $3000 at 5% interest per year. Work out how much she will have altogether after:
Answer:
2 years: 30
5 years: 75
7 years :105
10 years:150
i think those are the answer
Step-by-step explanation:
take the interest percentage and divide by 100 ex:5.2%100= 0.052
take the dollar amount and multiply interest decimal ex:$ 450*0.052=23.40
take the sum of dollar amount and interest decimal and multiply by # of years of interest ex:3 years *23.40 =70.20 interest and that is how you do it
Nishi will have amounts as $3300, $3750, $4050, and $4500 after 2, 5, 7, and 10 years respectively.
What is simple interest?The formula for simple interest is:
I = Prt
Where:
I = Interest earned
P = Principal (amount invested)
r = Interest rate (as a decimal)
t = Time (in years)
Using the simple interest formula to calculate how much Nishi will have after a certain number of years.
2 years:
I = Prt = 3000 x 0.05 x 2 = $300
Total amount after 2 years = P + I = $3300
5 years:
I = Prt = 3000 x 0.05 x 5 = $750
Total amount after 5 years = P + I = $3750
7 years:
I = Prt = 3000 x 0.05 x 7 = $1050
Total amount after 7 years = P + I = $4050
10 years:
I = Prt = 3000 x 0.05 x 10 = $1500
Total amount after 10 years = P + I = $4500
Learn more about the simple interest here:
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How many lines of symmetry, does this quadrilateral have
Answer:
im going to say 4 hope it helps
Step-by-step explanation:
Which measurement of a polygon in the shape of a square with 6-inch sides is a perfect square?
A. Area
B. Angles
C. Diagonal
D. Perimeter
Answer:
A: Area
Step-by-step explanation:
The area is 6^2=36 and 36 is a perfect square.
URGENT!!!! What are the x and y-intercepts of the line described by the equation?
2x – 6y = 30
Enter your answers in the boxes.
Answer:
(15,0)
(0,−5)
Step-by-step explanation:
Plug y=0 into the equation and solve the resulting equation 2x=30 for x
The x and y intercepts of the equation of line 2x – 6y = 30 are;
x-intercept = (15, 0)
y - intercept = (0, -5)
In graphs, the x - intercept is the point where y = 0. Similarly, the y - intercept is the point where x = 0.
We are given the equation of line as;
2x - 6y = 30
Thus, x-intercept, we will put y = 0;
2x - 6(0) = 30
2x = 30
divide both sides by 2 to get;
x = 30/2
x = 15
Thus, y-intercept, we will put x = 0;
2(0) - 6y = 30
0 - 6y = 30
-6y = 30
y = 30/-6
y = -5
In conclusion, the x and y intercepts respectively are (15, 0) and (0, -5)
Read more at; https://brainly.com/question/13405797
Name the slope and y-intercept of the graph of each question
y = 3x + 8
5x+y=17
PLEASE SOMEONE EXPLAIN TO ME HOW TO DO IT . WILL MAKE BRAINIEST AND 30 points
Answer:
Step-by-step explanation:
in the simplest terms, the y intercept is always at the end of the equation. the slope always has the x after it.
3x is the slope . 8 is the y intercept
5x is the slope while y is the basically the y intercept.
Answer:
in the simplest terms, the y intercept is always at the end of the equation. the slope always has the x after it.
3x is the slope . 8 is the y intercept
5x is the slope while y is the basically the y intercept.
Step-by-step explanation:
Dolly earns $6.40 per hour. She worked 28.25 hours last week. How much did Dolly earn last week?
Answer:
180.8
Step-by-step explanation:
multiply 6.40 with the hour 28.25
Hope this helps!
Which of the following is both a perfect square and a perfect cube?
64
16
81
1,000
I know the answer is 64, but how? Can someone please explain me to me how to work this out?
2. What is the equation in slope-intercept form of the line that passes through the given points in
the table?
x
2
3
y
-1
-4
Answer:
3y= -1 + 2x -4
Step-by-step explanation:
cause.... COOCHIEMAN
question in picture.
Answer:
4,3,0.5 youre welcome, good Luckk : )
The altitude of a helicopter increase is 1000 feet every four minutes. What is the unit rate of change (feet per minute) of the altitude?
Answer:
250 feet per minute
Step-by-step explanation:
1000 divided by 4 is 250. You divide them by each other because if you multiply 250 feet by 4 minutes, you get 1000.
(brainliest?)
find the cube of 2.9
[tex] {2.9}^{3} \\ 2.9 \times 2.9 \times 2.9 \\ 8.41 \times 2.9 \\ 24.389[/tex]
Answer:The cube of [tex]2.9[/tex] is [tex]24.389[/tex].
five billion, seventy three thousand
Answer:
5,000,073,000
Step-by-step explanation:
a number multiplied by 5 and increased by 7 the result is 62
Answer:11
Step-by-step explanation: subtract 7 from 62, which give you 55, divide by 5 which gives you 11.
Answer:
Step-by-step explanation:
5X+7=62
5X=55
X=11
Please help this has 15 points
Maria and Buzz both walk from their houses to the bus stop every morning. Maria walks 2.4 kilometers further, and together they walk 5.1 kilometers.
If Buzz walks a distance of m kilometers find the value of m.
Answer:
m = 1.35
Step-by-step explanation:
Buzz = m
Maria = m + 2.4
Together = 5.1
Equation:
m + m + 2.4 = 5.1
2m + 2.4 = 5.1
2m = 2.7
m = 1.35
So now:
Buzz = 1.35
Maria = 1.35 + 2.4 = 3.75
1.35 + 3.75 = 5.1
This solution is correct.
Hope this helps!
Which statement illustrates a simulation that could be used to generate samples of people on a game show selecting either door A, door B, or door C?
A. Flipping a coin and getting heads for door A or tails for door C.
B. Rolling a die; 1 or 2 represents door A, 3 or 4 represents door B, and 5 or 6 represents door C.
C. Creating a spinner divided into 4 equal parts. Label two parts door A, one part door B, and the third part door C.
D. Go to the game show and collect data for a month on which doors people chose.
Answer:
The correct option is;
B. Rolling a die; 1 or 2 represents door A, 3 or 4 represents door B, and 5 or 6 represents door C
Step-by-step explanation:
Given that an onloaded die has equal chances of getting either 1 or 2 or 3 or 4 or 5 or 6, the chances of getting a particular score is therefore 1/6
and the probability of getting a 1 or 2 = 1/6 + 1/6 = 2/6 = 1/3
Therefore, given that the probability, P[tex]_{door}[/tex] of opening door A, or door B, or door C is the probability of selecting 1 out of 3 given as follows;
P[tex]_{door}[/tex](door A) = 1/3
P[tex]_{door}[/tex](door B) = 1/3
P[tex]_{door}[/tex](door C) = 1/3
Therefore, given that the probability of selecting either door A or door B or door C is equivalent to the probability of getting a 1 or 2, or a 3 or 4, or a 5 or 6 on a die.
Answer:
Its B: Rolling a die; 1 or 2 represents door A, 3 or 4 represents door B, and 5 or 6 represents door C.
Step-by-step explanation:
They have to be evenly probable so its B
edge 2020
Point I is on line segment HJ. Given IJ=4 and HI=8 determine the length HJ
Pleaseeee help
Answer: 12
Step-by-step explanation:
Solve for n.
n+ 1 = 4(n-8)
0 n = 1
O n = 8
0 n = 11
n = 16
?
Answer:
0 n=11
Step-by-step explanation:
1. Distribute
+1=4(−8)
2. Subtract 1 from both sides of the equation
+1=4−32
+1−1=4−32−1
3. Simplify
=4n−33
4. Subtract 4 from both sides of the equation
=4−33
−4=4−33−4
5. Simplify
−3=−33
6. Divide both sides of the equation by the same term
−3=−33
-3n/-3=-33/-3
7. Simplify
=11
is y=5x proportional or non proprtional.
Answer:
Yes, y=5x is proportional. Hope this helps!
The point (1, –5) is reflected across the y-axis. A coordinate plane. What are its new coordinates?
Answer:
(-1,-5)
Step-by-step explanation:
Answer:
HMM C..... Answer: Choice C. (-1, -5)
Step-by-step explanation:
The reflection rule we use is
when we want to reflect over the y axis. The x coordinate flips from positive to negative, or vice versa, while the y coordinate stays the same.
Solve for the value of x that makes likes r and s parallel.
Answer:
x = 65
Step-by-step explanation:
If Alternate exterior angles are congruent, r and s will be parallel
3x - 63 = 2x + 2
3x - 2x - 63 = 2
x - 63 = 2
x = 2 + 63
x = 65
hello… please help What is a parabola in mathematics?
What is the place value of 7 in 7,000.2
Answer: The thousands place
Step-by-step explanation: the two is the tenths place, all the 0 are one, tens, and hundreds place
x3y2-1/4x please solve it fast
Answer:
(x,y) = (0, 1/3)
Step-by-step explanation:
[1] 2x + 3y = 1
[2] 4x - 6y = -2
Graphic Representation of the Equations :
3y + 2x = 1 -6y + 4x = -2
Solve by Substitution :
Solve equation [2] for the variable x
[2] 4x = 6y - 2
[2] x = 3y/2 - 1/2
Plug this in for variable x in equation [1]
[1] 2•(3y/2-1/2) + 3y = 1
[1] 6y = 2
Solve equation [1] for the variable y
[1] 6y = 2
[1] y = 1/3
By now we know this much :
x = 3y/2-1/2
y = 1/3
Use the y value to solve for x
x = (3/2)(1/3)-1/2 = 0
If anyone answers, I love you.
Answer:
-5 7
6 -3
-9 1
Step-by-step explanation:
im so sorry if im wrong don't sew meh
An indoor water park has two giant buckets that slowly fill with 1000 gallons of water before dumping it on the people below. One bucket dumps water every 18 minutes. The other bucket dumps water every 16 minutes. It is currently 2:45 P.M. And both buckets dumped water 15 minutes ago. Find the next two times that both buckets dump water at the same time.
Answer:
The next two times both buckets dump water at the same time are 4:54 P.M and 7:18 P.M.
Step-by-step explanation:
From the question, one bucket dumps water every 18 minutes, say bucket A;
and the other bucket dumps water every 16 minutes, say bucket B.
Also, It is currently 2:45 P.M. and both buckets dumped water 15 minutes ago,
that is, both buckets dumped water at 2:30 P.M.
For bucket A, the next times it will dump water will be:
2:48 P.M, 3:06 P.M, 3:24 P.M, 3:42 P.M, 4:00 P.M, 4:18 P.M, 4:36 P.M, 4:54 P.M, 5:12 P.M, 5:30 P.M, 5:48 P.M, 6:06 P.M, 6:24 P.M, 6:42 P.M, 7:00 P.M, 7:18 P.M, 7:36 P.M, 7:54 P.M, 8:12 P.M, 8:30 P.M etc.
For bucket B, the next times it will dump water will be:
2:46 P.M, 3:02 P.M, 3:18 P.M, 3:34 P.M, 3:50 P.M, 4:06 P.M, 4:22 P.M, 4:38 P.M, 4:54 P.M, 5:10 P.M, 5:26 P.M, 5:42 P.M, 5:58 P.M, 6:14 P.M, 6:30 P.M, 6:46 P.M, 7:02 P.M, 7:18 P.M, 7:34 P.M, 7:50 P.M etc.
From above, we observe that the next two times both buckets dump water at the same time are 4:54 P.M and 7:18 P.M.
Hence, the next two times both buckets dump water at the same time are 4:54 P.M and 7:18 P.M.
Which inequality is true? A number line going from negative 3 to positive 3 in increments of 1. StartFraction 5 Over 6 EndFraction less-than negative one-third 2 and one-third greater-than 2 and one-sixth 2 less-than negative 2 and one-half 1 and one-fourth greater-than 1 and one-third
The inequality is true.
Inequality is one that leads to unequal or biased outcomes and is an unjust distribution of resources and opportunities. It leads to an increased resolution of the opportunities and resources. Has a socio and political-economic structure.
Thus the answer is 3 to +3 in increments of 1 5/6 to -1/3 21/3 >21/6.
The inequality makes the comparisons between no. or the expressions in the terms of greater or less depending on how numbers are arranged on the number line.A number line that is going from the negative 3 to positive 3 and is in increasing order. The second one shows the positive value of 5/6 towards decreasing and a negative value of the -1/3 hence is also correct The third one depicts the 2 and one-third greater than 2 and one half.Hence the option 1, 2, and 3 are true.Learn more about the inequality is true.
brainly.com/question/19366916.
Answer:
i have a feeling it is b
Step-by-step explanation:
Can you please help me? It’s timed!!
Answer:
[tex]0.75[/tex] (D)
Step-by-step explanation:
tanA = [tex]\frac{6}{8}[/tex]
tanA = [tex]0.75[/tex]
I’ll give you 10 points and brainley
Answer:
Srry bro this is way to blurry for me to read... Also dont show your password to randoms.
Step-by-step explanation: