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
I just need help with 1-8
Answer:
1. Reflexive Property of equality
2. Addition Property of equality
3. Subsitution
4. Definition of Congruence
5. Transitive Property
6. Division of equality
7. Segment Addition postulate
8. Subtraction of equality
Step-by-step explanation:
HELP WILL MARK YOU BRAINLIEST NO GUESSES PLZ!!!!
Answer:
I believe the answer is the first one A
Step-by-step explanation:
If you do this will construct the perpendicular bisector for AB.
Answer:
iT IS A
Step-by-step explanation:
Help me please ^_^!!!
Answer:
I'd say the answer is A or B
Step-by-step explanation:
Since the colonists overtime had so many laws passed over that were cruel and unfair they went against the British with acts like the Tea Act which were preformed to turn against the British. (sorry if im wrong ^-^)
Patty needs a total of $80 to buy a bicycle. She has already saved $35. If she saves $10 a week from her earnings, what is the least number of weeks she must work to have enough money to buy the bicycle?
Answer:
5 weeks
Step-by-step explanation:
She would need to work at least 8 weeks because the bicycle is $80 and she has $35.
Answer:
5 weeks
Step-by-step explanation:
i took 80 - 35 to get 45 (money she still needs)
then took 45 divided by 10 to get 4.5 ( how many weeks till she has the money)
and if you get 10 dollars per week and its asking how many weeks
you have to up the 4 by one because it has a .5
so it would be 5 weeks
NEED HELP 15 points please help!!!
Solve the following system of equations using substitution, showing all work.
y=2x+3
2x+5y=3
x=negative 1
y=1
showing my work Substitute y=2x+3y=2x+3 into 2x+5y=32x+5y=3.
12x+15=312x+15=3
2 Solve for xx in 12x+15=312x+15=3.
x=-1x=−1
3 Substitute x=-1x=−1 into y=2x+3y=2x+3.
y=1y=1
Answer:
x= -1
y= 1
Step-by-step explanation:
since y=2x+3; plug into other equation
2x+5(2x+3)=3
(distribute 5 to 2x+3)
2x+10x+15=3
(add like terms)
12x= -12
divide by 12 to get x alone
x=-1
now you cand plug in x to either equation to solve for y, but plug into the first equation to make it easier.
y=2(-1)+3
y=-2+3
y=1
Which of following have a value equal too |-28|?
Answer:
Step-by-step explanation:
2nd one, 3rd one, and 5th one
Answer:
28
Step-by-step explanation:
Help me solve this problem please
Answer:
subtracted 2x from both sidesStep-by-step explanation:
4x = 2x + 402 subtract 2x from both sides
4x - 2x = 2x - 2x + 402
2x = 402
8) On Tuesday Heather bought six hats. On
Wednesday half of all the hats that she had
were destroyed. On Thursday there were
only 19 left. How many did she have on
Monday?
PLS HELP
Answer: On Monday, Heather had 32 hats.
Step-by-step explanation: After Heather bought six hats on Tuesday, she had double the amount of 19, since half of her hats were destroyed on Wednesday resulting in 19 left. Double of 19 is 38 hats, meaning she had 38 after she bought six on Tuesday. That means on Monday she had 38 - 6 = 32.
Round 23,487 to the nearest ten. PLEASE HELP I WILL BRAINEST ASAP
Answer:
23,490
Step-by-step explanation:
- You study 4 hours per day and are in class 6 hours
per day. Find the ratio of the number of study hours to
class hours.
Answer:
2/3
Step-by-step explanation:
Initially it would be 4/6 which you can simplify as 2/3
What’s 5 divided by 6.2
Answer:
8
Step-by-step explanation:
Because you need to round 0.8064516129 to the nearest tenth
Show me how I do it please
Answer:
y=7x-5
Step-by-step explanation:
y=mx+b
2=(7)(1)+b
2=7+b
2-7=b
-5=b
Mal always solve the equation of negative 5 x minus 16 equals 8, his work is shown below identify the era where it was made step one not gonna 5 x minus 16 plus 16 equals 8 plus 16 Sep 2 negative 5 x equals 24 step, 3 negative 5 x, over 5 equals 24 over 5 step 424 are 5.
Given:
The equation is
[tex]-5x-16=8[/tex]
To find:
The error and correct solution.
Solution:
We have,
[tex]-5x-16=8[/tex]
Add 16 on both sides.
[tex]-5x-16+16=8+16[/tex]
[tex]-5x=24[/tex]
Divide both sides by -5.
[tex]\dfrac{-5x}{-5}=\dfrac{24}{-5}[/tex]
[tex]x=-\dfrac{24}{5}[/tex]
Third step is incorrect because he divide the equation by 5 instead of -5.
Therefore, the correct solution is [tex]x=-\dfrac{24}{5}[/tex].
Consider f(x) = mx + b where m and b are both non-zero constants. The function g(x) is the inverse of f(x). Which of the following functions is g(x)? Use composition of functions to check your answer.
Answer:
2x-54n
Step-by-step explanation:
-6=2/3x What does x equal
Answer:
x = -9 :)
Step-by-step explanation:
solve for x by simplifying both sides of the equation then isolating the equation
brainliest pls if correcto
Please help Find sin and csc.
five million four thousand three hundred in standard for
Answer:
500,400,300
Step-by-step explanation:
is this correct?
Answer:
Your answer is 5004300
Step-by-step explanation:
Hope this helps u
Crown me as brainliest:)
On June 30, Tina Nader's check register balance was $452.88 and her bank
statement balance was $697.55. Checks outstanding were 561, $39.28; 562,
$121.31; 564, $83.19. The statement showed earned interest of $0.89. Reconcile
the check register and bank statement.
Answer:
43
Step-by-step explanation:
Answer:
43 is what I would say
Step-by-step explanation:
step by step
In a certain Algebra 2 class of 28 students, 9 of them play basketball and 17 of them
play baseball. There are 6 students who play neither sport. What is the probability
that a student chosen randomly from the class plays both basketball and baseball?
Answer: Probability of a student playing both basketball and baseball is 4/28 or 14.3%
Step-by-step explanation:
1) Students playing atleast one sport = 28 - 6 = 22
2) N(Basketball ∩ Baseball) = N(Basketball) + N(Baseball) - N (Basketball U Baseball)
N(Basketball ∩ Baseball) = 9 + 17 - 22 = 4
3) Number of students playing both basketball and baseball = 4
Total number of students = 28
Probability of a student playing both basketball and baseball is 4/28
4/28= 0.1428571429 x 100%= 14.3%
Answer:4/28
Step-by-step explanation:4/28
please help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
10
Step-by-step explanation:
find the number of point p that is 1/4 of the way from a to b.
A__________________B
-15 33
Answer:12
Step-by-step explanation:33 + 15=48 48/4=12
How to find LCM by division method
look it dinometer of last two numbers at the down and cross multiple them by the lcm
what is the relationship between the radius and diameter of a circle?
The relationship between the radius and diameter of a circle is that the diameter is twice the length of the radius.
In other words, the diameter of a circle is equal to 2 times the radius. Mathematically, this relationship can be expressed as:
Diameter (D) = 2 * Radius (r)
This relationship is consistent for all circles. No matter the size of the circle, the diameter will always be exactly twice the length of the radius. The radius is the distance from the center of the circle to any point on the circle's circumference, while the diameter is the distance from one point on the circumference to another, passing through the center. Understanding this relationship is essential in various geometrical calculations and formulas involving circles.
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(3^8 ⋅ 2^−5 ⋅ 9^0)^−2 ⋅ 2 to the power of negative 2 over 3 to the power of 3, whole to the power of 4 ⋅ 3^28
Answer:
I agree with the first answer.
Step-by-step explanation:
Answer:
(38 ⋅ 2−5 ⋅ 90)−2 ⋅ 2 to the power of negative 2 over 3 to the power of 3, whole to the power of 4 ⋅ 328 ((38 ⋅ 2−5 ⋅ 90)−2 ⋅ 2 to the power of negative 2 over 3 to the power of 3, whole to the power of 4 ⋅ 328 (
Step-by-step explanation:
Someone please help me out !!!!!!!
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[tex](9x + 17) + (3x + 7) = 180[/tex]
[tex]12x + 24 = 180[/tex]
Subtract sides 24
[tex]12x + 24 - 24 = 180 - 24[/tex]
[tex]12x = 156[/tex]
Divide sides by 12
[tex] \frac{12}{12} x = \frac{156}{12} \\ [/tex]
[tex]x = 13[/tex]
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A statement that two ratios are equal is called a
The answer is proportion. A proportion basically equates two ratios.
A statement that two ratios are equal is called a proportion.
In a proportion, the four quantities involved are related in such a way that the first ratio is equal to the second ratio. It can be represented in the form of "a:b = c:d," where "a" and "b" are the terms of the first ratio, and "c" and "d" are the terms of the second ratio.
Proportions are used in various mathematical applications, such as solving problems involving ratios, scaling, similarity, and solving for unknown values. They provide a way to compare quantities and establish relationships between them based on their relative sizes.
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is
Find the area of this circle. Use 3 for .
A = air2
Hint: The radius (r) is
1/2 of the diameter.
12 in
[?] in2
Answer:
113.1 in²
Step-by-step explanation:
A = pi × r²
= pi × 6²
= 113.1 in²
-2m=-10
Solve this for m
Answer:
M=5
Step-by-step explanation:
divide each side by -2
Write an expression for: The sum of 5 times a number and twice a number is 42.
Answer:
42
Step-by-step explanation:
5x5=40 ----> 40+2=42