Using implicit differentiation, it is found that the area of the square is increasing at a rate of:
A. 4.8 m²/minThe area of a square of side length l is given by:
[tex]A = l^2[/tex]
Applying implicit differentiation, the rate of change is given by:
[tex]\frac{dA}{dt} = 2l\frac{dl}{dt}[/tex]
The side is 3 m in length, hence [tex]l = 3[/tex].Growing at a rate of 0.8 m/min, hence [tex]\frac{dl}{dt} = 0.8[/tex]Then:
[tex]\frac{dA}{dt} = 2l\frac{dl}{dt} = 2(3)(0.8) = 4.8[/tex]
Hence, option A is correct.
To learn more about implicit differentiation, you can take a look at https://brainly.com/question/25608353
i just forgot this like ;-;
Answer:
[tex] \boxed{\bf \dfrac{64}{729} }[/tex]
Hence,
[tex]\boxed{\bf \: \bigg( \dfrac{2}{3} \bigg) {}^ {6} = \dfrac{64}{729}} [/tex]
Step-by-step explanation:
Given arithmetic expression is :-
[tex]\sf \longmapsto(2/3) {}^{6} [/tex]
This expression may be rewritten as :-
[tex]\sf \longmapsto \bigg(\dfrac{2}{3} \bigg) {}^{6} [/tex]
6 is the index and 2/3 is the base.
In words, this may be represented as 2/3 raised to the Power 6.
Let's calculate.
It means that 2 is raised to the power of 6 and 3 is also raised to the power 6.
That is,
[tex]\sf \longmapsto \dfrac{ {2}^{6} }{ { 3}^{6} } [/tex]
It will be represented as,
[tex]\sf \longmapsto \: \dfrac{2 \times 2 \times 2 \times 2 \times 2 \times 2}{3 \times 3 \times 3 \times 3 \times 3 \times 3} [/tex]
On Simplification:-
[tex]\sf \longmapsto \dfrac{64}{729} [/tex]
In Decimal:-
[tex]\sf \longmapsto0.08(approx .)[/tex]
______________________________________
I hope this helps!
Please let me know if you have any questions.
~MisterBrian
can you identify the value of each digit ?
Answer:WHAT VALUE AND WHAT DIGIT
Step-by-step explanation:
A paralleogram has a perimeter of 56 inches. Two of the sides are each 13 inches long. What is the length of the other two sides
Answer:
15 for each side
Step-by-step explanation:
56-26 is 30, now 30 divided by 2 is 15. So for each side is 15 inches long.
In football, a gain is when a player moves the ball closer to the goal line; whereas, a loss is when the player loses yardage making it difficult to score. Larry plays quarterback for the Eagles. During the team's opening football game, the Eagles have the ball 48 yards away from the goal line. On the first play, the Eagles gain 31 yards on a pass toward the goal line. On the next four plays, the Eagles lose 3, 5, 7, and 4 yards, respectively. What is the distance between the ball and the goal line after these five plays?
Answer:
36 yards
Step-by-step explanation:
48 - 31 = 17
17 + 3 + 5 + 7 + 4 = 36
The total distance between the ball and the goal line is 36 yards
What is data?In computing, data is information that has been translated into a form that is efficient for movement or processing.
Given:
Eagles have the ball 48 yards away from the goal line.
On the first play, the Eagles gain 31 yards on a pass toward the goal line. On the next four plays, the Eagles lose 3, 5, 7, and 4 yards.
After first day they have yards remaining
=48 - 31
= 17
Now, the total distance between the ball and the goal line
=17 + 3 + 5 + 7 + 4
= 36
Learn more about data here:
https://brainly.com/question/15403824
#SPJ2
What is the image point of
(1,4)
(1,4) after a translation left 5 units and down 5 units?
Which expression has the greatest value when c = 7? 12 - 2C 0R C - 5
please show working
If c = 7, then
12 - 2c
= 12 - 2(7)
= 12 - 14
= -2
c - 5
= (7) - 5
= 2
=》+2 > -2.
So, c - 5 has greater value than 12 - 2c, if c = 7.
______
Hope it helps ⚜
PLEASE HELP ASAP
What is the result if you divide -12x^8y^8 by 3x^4y^2 ?
A. -4x^2y^4
b. 4x^4y^6
c. 4x^2y^4
d. -4x^4y^6
Answer:
A.-4x^2y^4
that the answer
Find the measure of midsegment EF.
Answer:
29 units
Step-by-step explanation:
The midsegment of a trapezoid is the average of the top and bottom sides.
(25+33)/2 = 29
Answer:
measure of midsegment EF is 29
Step-by-step explanation:
basically just find the average of the two numbers
25+33/2 = 29
The product two consecutive odd numbers is 63find the number
Answer:
These results, 7 and 9, have a product of 63, as stated.
Step-by-step explanation:
Represent the first odd number by x and the first consecutive odd number by x + 2. Then the product of these two numbers is x(x + 2) and it equals 63.
Solve for x. Perform the indicated multiplication, obtaining
x^2 + 2x - 63 = 0
Solve this by factoring: (x + 9)(x - 7) = 0
Then x could be either -9 or +7. If we let x = 7 then the first consecutive odd number is 7 + 2, or 9. These results, 7 and 9, have a product of 63, as stated.
Help I need help please help help
Answer: We have been given two inequalities and . We are asked to find the integers that satisfy both inequalities.
Step-by-step explanation:
Let us solve for our 1st inequality.
2x + 9 - 9 < 0 - 9
2x< -9
2x/2 < -9/2
X< -4.5
Upon combining our both inequalities, we will get:
-12 < x < -4.5
This means that solution of our inequalities is x values greater than -12 and less than -4.5
We know that integers between and are: -11, -10, -9, -8, 7, -6,-5.
Therefore, our solution would be X= {-11,-10,-9,-8,7,-6,-5}
I need help please explain your work for number 7 only
Answer:
Transitive property
Step-by-step explanation:
When a=c and b=c, a=b
A would be 16+43
B would be 59
C would be 10+49
If 8.4 million baby boomers out of a total 76 million baby
boomers have already retired, what percentage of this
group will retire in the next 20 years? Round to the
nearest whole percent.
Answer: Undefined: Needs more data
Step-by-step explanation: What is the timespan over which they have retired? Is this a direct relationship?
[tex]\sf -10-11x+24=3x[/tex]
Answer:
- 14x + 14
Step-by-step explanation:
- 10 - 11x + 24 - 3x ← collect like terms
= (- 11x - 3x) + (- 10 + 24)
= - 14x + 14
Find the equation that has a slope of -2 and passes through the point (0,4)
Answer:
y=-2x+4
Step-by-step explanation:
equation: y-y1=m(x-x1)
x1=0,y1=4,m=-2
y-4=-2(x-0)
y-4=-2x
y=-2x+4
It takes violet 3/5 hour to paint a chair. How much of the chair will be finished after 1/3 hour? Plz answer this plzzzzz!!
-x - 11 and the opposite of -11
Answer:
The opposite of -11 is 11, and I dont understand what else you're asking
Step-by-step explanation:
Find the value of x and the indicated angles.
Answer:
x = 33Indicated angles: 126°Step-by-step explanation:
We can tell that 4x - 6 is equal to 2x + 60 because they are vertically opposite angles. Now, let's solve.
=> 4x - 6 = 2x + 60=> 4x - 2x = 6 + 60=> 2x = 66=> x = 33Since we have found the required variable, we can now solve the indicated variables.
Given angles:
4(33) - 62(33) + 60Let's solve 4(33) - 6 first.
4(33) - 6132 - 6126Therefore, 4(33) - 6 measures about 126°. Now, let's solve 2(33) + 60.
2(33) + 6066 + 60126We can clearly see that both angles are equal (126 = 126) Because of vertically opposite angles.
Conclusion:
Therefore, the required variable is 'x = 33' and when we substitute the variable in both angles, we find that both angles show 126°.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
which equations match the graph
Answer:
A.) f(x)=1/3x + 1 and g(x)=1/3(6x)+1
Step-by-step explanation:
because firs you see the graph of intercepts or vertex.
see y-intercepts : our graph crosses though 1
the first choice crosses at 1 both f(x) & g(x)
the second choice crosses at 1 both f(x) & g(x)
the third choice crosses at -8 both f(x) & g(x) so this can't be answer.
the forth choice crosses at 1 both f(x) & g(x)
see x-intercept : f(x) crosses -3 and g(x) crosses at approximately -1/2
the first choice crosses at -3 at f(x) & - 1/2g(x)
the second choice crosses at -1/2 at f(x) & - 1/6g(x)
the third choice crosses at 8/3 at f(x) & 8/15g(x)
the forth choice crosses at -3 at f(x) & - 3/4(x)
the graph seems crosses at 1/2 at g(x).
so the answer if the first choice.
4. A certain bacteria strain of E. coli divides every 30 minutes. If 500 bacteria are presen
in the culture to start, how many are in the culture after 3 hours?
Answer:
assuming its dividing by two, 7.8135
Step-by-step explanation:
if you're dividing by something else the answer will be different. hope this helps
Paul has thirteen coins in his piggy bank. Some of the coins are quarters, some are nickels, and he has a total of $3.55. Which system of equations can be used to determine how many quarters, x, and how many nickels, y, he has?
A.
x + y = 13
0.25x + 0.5y = 3.55
B.
x + y = 13
0.25x + 0.05y = 3.55
C.
x + y = 13
25x + 5y = 3.55
D.
x + y = 3.55
0.25x + 0.05y = 13
Answer:
The answer is B
Step-by-step explanation:
you know that x is quarters which is .25 and you know that y is nickels which is .05
there are a total of 13 coins in the bank so x+y = 13
you also know that the 13 coins = 3.55
so plug in all that you know and the problem is
0.25x + 0.05y = 3.55
how many 4/5 are in 2
Answer:
1/10
Step-by-step explanation:
Carlo and his two brothers helped to decorate the house for the party. Each of them blows 12 balloons. But 5 balloons pop. How many balloons do they have for decoration.
Answer:
31
Step-by-step explanation:
thye blow up 36 balloons in total but 5 pop 36-5=31
The table below shows a proportional relationship.
X
-4
-2
0
2
4
у
-14
-7
7
14
What is the constant ratio k, Y ?
2
Answer: I think it is -7 and +7
A?
B?
C?
D?
Who ever is right gets brainlest <3
Answer:
4 n 4 √ 3 n
Step-by-step explanation:
What is the greatest common factor for 36 and 60
Answer:
12
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
k12 test
$22.85 for Shiping 3 pound package
and $40 for shiping, lo pound package
wnteequation that gives total cost of
shipping package as a function of the
Weight of the package.
find the cost of shipping a 15-pound package.
Answer:
Step-by-step explanation:BASE+3X=22.85
BASE+10X=40
BASE=40-10X NOW SUBSTITUTE (40-10X)FOR BASE IN THE FIRST EQUATION
40-10X+3X=22.85
-7X=22.85-40
-7X=-17.15
X=-17.15/-7
X=$2.45 IS THE PRICE FOR EACH POUND.
BASE+10*2.45=40
BASE+24.50=40
BASE=40-24.50
BASE=15.50 IS THE BASE PRICE FOR THE DELIVERY.
PROOF
15.50+3*2.45=22.85
15.50+7.35=22.85
22.85=22.85
PLZ HELP DUE TODAY BRAINLIEST AND 100 POINTS
5(2.2y+1)-3
11y+5-y
11y+2
Answer:
Step-by-step explanation:
Remove the brackets
5*2.2y + 5 - 3
11y + 5 - 3
11y + 2
The answer is the last one.
[tex]\\ \rm\rightarrowtail 5(2.2y+1)-3[/tex]
Solve in between the brackets
[tex]\\ \rm\rightarrowtail 5(4y+1)-3[/tex]
[tex]\\ \rm\rightarrowtail 20y+5-3[/tex]
[tex]\\ \rm\rightarrowtail 20y+2[/tex]
[tex]\\ \rm\rightarrowtail 2(10y+1)[/tex]
find the volume of this prism
Answer:
264 cm³
Step-by-step explanation:
Solve the proportion as a whole number. x =
7/3=x/27
graph it pleaseeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
Step-by-step explanation:
5c + 4f ≥ 200
c + f ≤ 60
c > 0
f > 0