Answer:
The ideal length is 16 feet
The ideal width is 8 feet
Step-by-step explanation:
The given parameters are;
The length of the fencing available to the homeowner = 32 feet
The number of sides of the rectangular chicken coup the fence will be applied = 3 sides
Let L represent the length and W, represent the width
Therefore, we have;
The perimeter of the fence = 2W + L = 32 feet
L = 32 - 2·W
The area is given by, A = Length, L × Width, W
A = (32 - 2·W) × W = 32·W - 2·W²
Differentiating with respect to W and equating to 0 to find the maximum point gives;
dA/dW = d(32·W - 2·W²)/dW = 0
32 - 4·W = 0
4·W = 32
W = 32/4 = 8
W = 8 feet
Given that the sign of the variable in the equation of the derivative is negative, the value we get is the maximum point
The ideal width W = 8 feet
The length, L = 32 - 2·W = 32 - 2 × 8 = 16 feet
Therefore, the ideal length, L = 16 feet.
I need help with this ok thanks I’m having a real hard time
BRANLIEST if you get thanks :)
Answer:
1-11 2-4 3-14 4-9 5-8 6-12 7-15
Step-by-step explanation:plz mark brainliest
Answer:
7+3=10
5+3=8
9+2=11
3+1=4
9+5=14
5+4=9
6+2=8
4+8=12
8+7=15
What is greater 11/12 or 2 1/3
Answer:
2 1/3
Step-by-step explanation:
The quotient of a number and (-3) is (-80) Find the number.
Answer:
240
Step-by-step explanation:
subtract (9z^3-12) - (-3z^3)
30 points!!!!!!!!!!!!!!!!!!!!!!! Help ASAP!!! 1.) Line a passes through points (-2, 1) and (2, 9). Write an equation in slope intercept form that is parallel to line a.
Step 1: Use slope formula* to determine slope (or m) using both points given.
[tex]\frac{9 - 1}{2 - (-2)}\\\\\frac{8}{4} = 2[/tex]
Step 2: Use slope-intercept formula** , ONE of the points given, and the slope we just found to solve for b.
[tex]1 = 2(-2) + b\\\\1 = -4 + b\\\\5 = b[/tex]
Step 3: Now we can set up an equation of this line in slope-intercept form.
[tex]y = 2x + 5[/tex]
*Slope formula: y₂ - y₁/x₂ - x₁
**Slope-intercept formula: y = mx + b
Answer:
The slope calculator helps find the slope of any line through two given points. ... To find the equation of a line for any given two points that this line passes through, use our ... to calculate the slope of the line passing through the points (3,8) and (-2, 10) . ... Make sure that the points you measure from are the same as step 1.
Step-by-step explanation:
Find the equation of a parabola that has a vertex of (3,7) and contains the point (-2,-6)
Answer:
Step-by-step explanation:
Please help me nobody will help me with this please
Answer:
[tex]24[/tex]
Step-by-step explanation:
Each bottle of water costs $2 so we multipy 12 by 2.
[tex]12[/tex]×[tex]2=24[/tex]
A = p + prt solve for t
Answer:
t = [tex]\frac{A - p}{pr}[/tex]
Step-by-step explanation:
A = p + prt
A - p = p - p + prt
A - p = 0 + prt
A - p = prt
[tex]\frac{A - p}{pr}[/tex] = [tex]\frac{prt}{pr}[/tex]
[tex]\frac{A - P}{pr}[/tex] = t
A distrubutor wants to make 1,000 pounds of trail mix that is 8% raisins. He will use a mix that is 5% raisins and a mix that is 20% raisins. How many pounds of each should he use?
Answer:
He should use 800 pounds of trail mix 5% raisins and 200 pounds of trail mix 20% raisins
Step-by-step explanation:
System of Equations
Let's call
x = pounds of trail mix 5% raisins
y = pounds of trail mix 20% raisins
The distributor wants to make 1,000 pounds of trail mix, thus:
x + y = 1,000 [1]
The mix must be 8% raisings as a combination of x and y, thus:
5x + 20y = 8*1,000 = 8,000
Dividing by 5:
x + 4y = 1,600 [2]
Subtracting [2] and [1]:
4y - y = 1,600 - 1,000
Operating:
3y = 600
y = 200
From [1]
x = 1,000 - y = 1,000 - 200
x = 800
He should use 800 pounds of trail mix 5% raisins and 200 pounds of trail mix 20% raisins
Answer:
5% raisin mix: 800 lbs
20% raisin mix: 200 lbs
Step-by-step explanation:
Let number of 5% be x; and number of 20% be a.
x + y = 1000
5% · x + 20% · y = 8% of 1000 pounds
0.05x + 0.2y = 80
x = 1000 - y
0.05(1000 - y) + 0.2y = 80
50 - 0.05y + 0.2y = 80
0.15y = 30
y = 200
x = 1000 - y
x = 1000 - 200
x = 800
Solve for the missing angle measures
Answer:
Set 1 angles a and c are 62
Set 2 angles b and d are 120
Step-by-step explanation:
angle a = angle c = 62
angle b = angle d = 120
(problem is on the picture included) Solve for x
Answer:
x=6
Step-by-step explanation:
Since it's a parallelogram both of these parallel sides are equal so you can set up an equation like this:
4x-8=2x+4
Now solve.
4x=2x+12
2x=12
x=6
please fill in the blanks i need this
Answer:
110
242
Step-by-step explanation:
To get the amount for Number of ships 5. you do 5*22.
Same for the the #11. you do 11*22.
Also, Pick me as the smartest please.An item is originally priced $68.89. It is on sale for 42 percent of the original price. Which is an estimate of the sale price?
$2.00
$3.50
$20
$28
Answer: 28
Step-by-step explanation: round price to 70.00 then think 10% is $7....so 40% would be 7x4 = 28
Answer:
the answer is D $28
Step-by-step explanation:
What is the equation of the line in the graph?
Answer:
Step-by-step explanation:
Hey, um i need help really bad i will give a brainlist Thx!!
Answer: I believe that you highlight "An amazing dancer, Lisa Simpson"
sorry if I'm
wrong....
It cost me $46,80 to fill my 13-gallon gas tank. What was the price of gas
per gallon?
The computer was regularly priced at $1500. If you order the computer over the Internet, you can save money as the price is only $1200.What percent discount (change) are you getting?
find the measurement of the diagonal if vt=22, then ZT=?
Answer:
ZT = 11
Step-by-step explanation:
Diagonals of a parallelogram bisects each other.
[tex] \therefore ZT = \frac {1}{2} \times VT\\\\
\therefore ZT = \frac {1}{2} \times 22\\\\
\therefore ZT = 11\\\\[/tex]
what is 100 times 7 plus 23
100 times 7= 700 any number times 100 you would add two zeros, 700+23=723
Hope this helps :]
The graph shows the volume of water in a sink, x minutes after the faucet is turned on.
Answer:
Conner is correct.
Step-by-step explanation:
Answer:
Connor is correct because the rate of water flowing is equal to the slope. Water is flowing at a rate that is equal to 2 gallons per minute.
Step-by-step explanation:
HELP ME FOR BRANLIEST
Answer: i dont know the answer but can i please have brainliest, i wanna know what it looks like and what it does
Step-by-step explanation:
5 and 4/5 as an improper fraction!
ANSWER ASAP! * 10 points *
Answer:
29/5
Step-by-step explanation:
5 4/5=(25+4)/5
29/5
Hope I helped! Please mark Brainliest!!!
Answer: The answer is [tex]\frac{29}{5}.[/tex]
Step-by-step explanation: Here are the 3 steps in order to convert the mixed number fraction to an improper fraction:
Step 1. First, let's multiply the denominator by the whole fraction that looks like this: [tex]5*5=25.[/tex]
Step 2. Then, we add the answer with the numerator from step 1 that looks like this: [tex]25+4=29.[/tex]
Step 3. Finally, we write the answer from step 2 over the denominator that looks in the improper fraction like this: [tex]\frac{29}{5}.[/tex]
Conclusion Step-By-Step Explanation:
Here's the conclusion for how to convert the mixed number fraction into an improper fraction given the equation [tex]\frac{29}{5},[/tex] that looks like this in the simplified solution: [tex]\frac{5*5+4}{5}=\frac{29}{5}.[/tex]
I hope that my full answer with the full step-by-step explanation is very helpful to your question about how to convert the mixed number fraction into an improper fraction and have a great rest of the day! :D
Sincerely,
Jason Ta,
The Ambitious of The Brainly And The Role of The TDSB And WHCI Student of The High School.
Consider the procedure used below to solve the given equation.
Given: 5(2x - 5) + 2x+8 = 43
Step 1: 10 - 25 + 2 + 8 = 43
Step 2: 12r - 17 = 43
Step 3: 12r = 43 +17
Step 4: 121= 60
Step 5: x=5
Which statement about the solution of the given equation is true?
The first mistake was made in Step 1.
The first mistake was made in Step 2
The first mistake was made in Step 3
Each step is correct.
Find the value of x.
Answer:
x=3
Step-by-step explanation:
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help me pleaseeeeeee
Step-by-step explanation:
Similar triangles
[tex] \frac{6}{uv } = \frac{8}{3} [/tex]
uv=18/8
uv= 2.25
Brainliest! Correct! Fast!
Answer:
c or the third one
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
To take the best notes in his science class, Jonas should sit next to his friends so they can share notes. near the front so he can see and hear the teacher. in the back of the room so he can watch everything. behind the smartest student so he can copy their notes.
Answer:
B. sit near the front so he can see and hear the teacher
Answer:
The person on top of me is correct ^
Step-by-step explanation:
Hope this helps! :)
Kyle asked a random group of students what their favorite sport was. The results are below. Boys Girls Basketball 10 8 Football 25 7 Soccer 9 19 Baseball 18 22 If Kyle were to randomly select a girl to explain why she likes the sport chosen, what is the probability that he will pick a girl who likes football? A 12.5% B 27.1% C 40.3% D 44.6%
Answer:
The probability that Kyle will pick a girl who likes football is 12.5%.
Step-by-step explanation:
The data provided is as follows:
Boys Girls Total
Basketball 10 8 18
Football 25 7 32
Soccer 9 19 28
Baseball 18 22 40
Total 62 56 118
Compute the probability that Kyle will pick a girl who likes football as follows:
[tex]P(F|G)=\frac{n(G\cap F)}{n(G)}[/tex]
[tex]=\frac{7}{56}\\\\=0.125\\\\=12.5\%[/tex]
Thus, the probability that Kyle will pick a girl who likes football is 12.5%.
pls help thanks you :)
Answer:
1) x=3
2) x=2
3) x=3
4) x=8
Compare the two statements below and decide if the phrase: "In a plane," needs to be included in order to make a true statement.
1. In a plane, if a transversal is perpendicular to one of two parallel lines, then it is perpendicular to the other line.
versus
2. If a transversal is perpendicular to one of two parallel lines, then it is perpendicular to the other line.
answer choices:
A) It does not need to be included. By leaving it out of the statement, the reader considers three dimensions not just the xy-plane. The two parallel lines would determine a plane. However, the transversal could intersect only one of the lines. This would allow the proof to use the Corresponding Angles Theorem.
B) It does not need to be included. By leaving it out of the statement, the reader considers three dimensions not just the xy-plane. The two parallel lines would determine a plane. However, the transversal could intersect only one of the lines. This would allow the proof to use the Angle Bisector Theorem.
C) It needs to be included as it forces the reader to consider only two dimensions, like the xy-plane. The two parallel lines would determine the plane and the transversal would intersect both lines. This would allow the proof to use the Corresponding Angles Theorem.
D) It needs to be included as it forces the reader to consider only two dimensions, like the xy-plane. The two parallel lines would determine the plane and the transversal would intersect both lines. This would allow the proof to use the Angle Bisector Theorem.
by any chance do you go to a higl school in Conroe bc I’m taking that exact test on canvas
Step-by-step explanation: