Answer: (A) [tex]A=300l-l^{2}[/tex]
(B) Length varies between 1 and 150
(C) Largest area is 22500ft²
Step-by-step explanation: Suppose length is l and width is w.
The rectangular garden has perimeter of 600ft, which is mathematically represented as
[tex]2l+2w=600[/tex]
Area of a rectangle is calculated as
[tex]A=lw[/tex]
Now, we have a system of equations:
[tex]2l+2w=600[/tex]
[tex]A=lw[/tex]
Isolate w, so we have l:
[tex]2w=600-2l[/tex]
w = 300 - l
Substitute in the area equation:
A = l(300 - l)
A = 300l - l²
(A) Function of area in terms of length is given by A = 300l - l²
(B) The practical domain for this function is values between 1 and 150.
(C) For the largest area, we need to determine the largest garden possible. For that, we take first derivative of the function:
A' = 300 - 2l
Find the values of l when A'=0:
300 - 2l = 0
2l = 300
l = 150
Replace l in the equation:
w = 300 - 150
w = 150
Now, calculate the largest area:
A = 150*150
A = 22500
The largest area the fence can enclose is 22500ft².
what is 1/4 times 6 in simplest form?
x2 + 9x + 1420
Use the inequality in the form f(x)20, to write the intervals determined by the boundary points as they appear from left to right on a number line.
Which system of equations is represented by this graph?
Answer:
Linear Equation
Step-by-step explanation:
I cant really see the graph but i think that its linear equations because
A linear equation is an equation that may be put in the form where are the variables, and are the coefficients, which are often real numbers.
So, therefore, i beleive its an linear equation
What is the answer to this problem.
Answer:655/262
Source:trust me bro
Complete the pattern
_,_,_,0, 2, 4,6
A)-1, -2, -3
B) -2,-4, -6
C) -6, -4,-2
Answer:
C
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
YES
$899 computer; 20% discount
Answer:
it knocks off $179.80 or the final cost which is $719.20.
Step-by-step explanation:
Answer:
$719.20
Step-by-step explanation:
899*0.2=179.8
899-179.8=719.2
The radius of a sphere is increasing at a constant rate of 7 feet per second. At the instant when the volume of the sphere is 274 cubic feet, what is the rate of change of the volume? The volume of a sphere can be found with the equation V=4/3π(r)^3. Round your answer to three decimal places.
1 over 3 , 3 over 4 ,4 over 7 , 7 over 11, 11over 8 .... (i)one termof this sequence is p over q . Find the term of p and q , the next term in this sequence . Find the 6th term of this sequence 1).... 2).....
Answer:
Next term will be the 6th term i.e. a₆ will be:
a₆ = 14/11Here:
p = numerator = 14q = denominator = 11Step-by-step explanation:
Given the sequence
[tex]\frac{1}{3},\:\frac{3}{4},\:\frac{4}{7},\:\frac{7}{11},\:\frac{11}{8},...[/tex]
First of all the terms of the sequence are in p/q form, where p is the numerator and q is the denominator.
As the fifth term of the sequence is:
a₅ = 11/8
From the given sequence it is clear that the numerator is changing by 3 units and the denominator is also changing by 3 units.
Thus,
The next term will be the 6th term i.e. a₆ will be:
a₆ = 14/11Here:
p = numerator = 14q = denominator = 11priya starts with $50 in her bank account. she then deposited $20 each weeks for 12 weeks. how many weeks does it take her to have $250 in her bank account. mark this point on the graph
A 215-inch pipe is cut into two pieces. One piece is four times the length of the other. Find the length of the shorter piece.
Answer:
I think the answer is 53.75 inches
1. If x= 3, what is the value of the following expression?
23.3 = + 91 - - (7 - 6x)
O A. 9
O B. 7
O C. 30
OD. 13
Answer:
A
Step-by-step explanation:
just try to get a chance to
if emma had 5 hats and gave one to each if her 2 friends how many light poles would be left....and how many dogs would she have for herself.
Answer:
yes
Step-by-step explanation:
the light poles are pi because you are solving the quadratic equation of the dogs.
help me pleaseeeeeeeee
Answer:
C is because it doesn't have any repeating x-values or y-values
Step-by-step explanation:
Simplify the following expression using the distributive property.
3(x + 8)
3x + 8
11x
24x
3x + 24
Answer:
3(x+8)
3*x+3*8
3x+ 24
3 divided by 3
24 divided by 3
x=8
Answer:
3(x+8)
3x+24
X=8
Step-by-step explanation:
what is the slope of the line that passes through the points (-8,3) and (-8,2). write your answer in the simplest form
Answer:
0
Step-by-step explanation:
The slope is 1/0, and that equals 0.
Answer:
It's undefined
Step-by-step explanation:
State 2 possible solution points for the inequality. Use the form (x,y) for both points. *
4 points
Captionless Image
A circular rug has a diameter of 6 1/2feet. Which of the following is closest to the area of the rug?
A. 33 square feet
B. 66 square feet
C. 104 square feet
D. 133 square feet
True/False: 4.5/3.0 = 4.8/3.2
Answer:
false
Step-by-step explanation:
Answer:
True
Step-by-step explanation:
4.5/3.0 = 1.5
4.8/3.2 = 1.5
Verify experimentally that the angle opposite to the longer side is greater than
the angle opposite to the shorter side in any triangle (at least two figures are
necessary)
Answer:
If two sides of a triangle are unequal, the angle opposite to the longer side is larger (or greater). You may prove this theorem by taking a point P on BC such that CA = CP.
Step-by-step explanation:
That's how you can prove which side is bigger
What is the missing length of a right triangle that has a length of 7 and width of 3
Answer:
Can u name the sides properly and which side needed. Write it. More specific plz
4. Mary rode her mountain bike at a constant rate of 0.3 kilometer per minute. Which
table represents y, the number of kilometers Mary rode her mountain bike in x minutes?
Answer:
A
Step-by-step explanation:
If you made $125 in 10 hours , how many hours would you take to have to work to earn 550$
Answer:
44 hours
Step-by-step explanation:
If you set up a proportion 10/125= x/550. Then you cross multiply and get 125x=5500 and divide by 125. Now you have x=44
7/4 to 14 and X to 32 PLEASE HELP ME IM LEGIT BRANILESS
Answer:
X = 56/14 = 4
Step-by-step explanation:
Kara was baking a cake. The recipe called for 8.5 cups of flour and she put in 3.2 cups so far. How many more cups of flour does she need?
**Write an equation AND solve:**
Answer:
5.3 cups of flour
Step-by-step explanation:
8.5 - 3.2 = 5.3 cups of flour
!!EASY!! look at the picture
Answer:what
Step-by-step explanation:
Which relationships would most likely be causal? Select two options.
a positive correlation between the number of homework assignments completed and the grade on the exam
a positive correlation between the temperature in a canyon in the early spring and the number of snakes seen by
hikers
a positive correlation between a child's shoe size and reading speed
a negative correlation between the time a glass of ice water sits on the counter and its temperature
a positive correlation between the number of students attending football games and the number of games that are
won
Answer:
A and B
Step-by-step explanation:
The relationships that are most likely to be causal are:
A positive correlation between the number of homework assignments completed and the grade on the examA positive correlation between the temperature in a canyon in the early spring and the number of snakes seen by hikers.When are relationships causal?A relationship is causal when one variable has a direct effect on another variable. For example, the number of assignments completed would have an effect on the grade on an exam because as a students compeletes his assingment he becomes more familiar with the course.
Positive correlation means that the two variables have a positive relationship with each other. If one of the variable increases, the other vairable increases.
To learn more about correlation, please check: brainly.com/question/11705632
please help me if you can, just click on the photo and you’ll see the question
Answer:
18.
Step-by-step explanation:
If you divide by something less than 1, it'll wind up being more than what it was before.
Find the value of each expression in simplest form
1 2/3 + 2 3/4
Answer:
The answer is 4 5/12
Step-by-step explanation:
5/3 + 11/4
=5x4 - 3x4 + 11x3 - 4x3
=20/12 + 33/12
=53/12
Simplified
= 4 5/12
Hope this helps. :D
What is the BEST ANSWER for the slope of the line that passes through the points:
(12, 2) and (1, 23)
Answer: -2
Step-by-step explanation:
What is the slope of a line that is parallel to this line (2,7) (5,-5)