Answer:
x = 150 ft
y = y = 150 / 17 ft
Step-by-step explanation:
Area of the field is A = x*y
Let´s assume x is the larger side of the rectangle, and that we will get 33 identical smaller rectangular plots dividing x into 33 rectangles ( using 34 sides of length y ) then the quantity of fence is:
p = 2*x + 34*y ⇒ 600 = 2*x + 34*y y = ( 600 - 2*x)/34
A = x*y
A (x) = x* ( 600 - 2*x)/34
A (x) = ( 600*x - 2*x²)/34
Taking derivatives on both sides of the equation:
A´(x) = (1/34)* ( 600 - 4*x )
A´(x) = 0 (1/34)* ( 600 - 4*x ) = 0 600 - 4*x = 0
x = 600/4
x = 150 feet
And y = (1/34)( 600 - 2*150)
y = 300/34 y = 150 / 17 ft
y = 8.82 ft
How do we know that is a maximum area, we find the second derivative of A
A´´(x) = - 4/34 then A´´(x) < 0
We get a maximum of function A for the value x = 150
Sara has 5 blue bows and 7 white bows in a bag for her fellow cheerleaders to wear in their hair for each game. The bows are
pulled out randomly by the team. Determine if the following is an
Independent or a Dependent event. Then find the probability.
1.) Sara pulls out a blue bow and her teammate pulls out a white bow.
Answer: The events are dependent
The probability is 35/132
==============================================================
Explanation:
If the first bow Sara pulls out isn't put back, then the two events are dependent. This is because the probability of pulling a white bow changes depending on what Sara pulls out.
If Sara pulls out a blue bow, then the teammate's chances of pulling a white bow are 7/11 because there are 7 white bows out of 4+7 = 11 left over (or you could compute 5+7-1 = 11).Or if Sara pulls out a white bow, then the chances of a teammate pulling out another white bow is 6/11 instead of 7/11. The probability has changed.So again, it all depends on what Sara does because she goes first. This is of course not the case if Sara puts the bow back. If she put it back, then the chances of the teammate pulling the white bow is 7/12
---------
To find the overall probability of Sara selecting a blue bow and not putting it back, followed by a teammate getting a white bow, we multiply the fractions 5/12 and 7/11 to get (5/12)*(7/11) = 35/132
For more info, search out conditional probability.
PLEASE HELP!!!
The number of adults who have seen a new family play at the local theater, measured in hundreds of people, is represented by the
function a (w) = -0.4w2 + 3w + 8, where w is the number of weeks since the play opened.
The number of children who have seen the same play, measured in hundreds of people, is represented by the function
c (w) = -0.3w2 + 2w + 13, where w is the number of weeks since the play opened.
What function, d (w). can be used to determine how many more children than adults have seen the play in any week?
d (w) = -0.1w2 + 5W + 21
d (w) = 0.1w2 – w+ 5
d (w) = -0.1w2 – w + 5
Od (w) = 0.1w2 + 5W + 5
Answer:
d (w) = 0.1w² – w+ 5
Step-by-step explanation:
d(w) = c(w) - a(w)
= -0.3w²+2w+13 -(-0.4w²+3w+8)
= -0.3w²+0.4w²+2w-3w+13-8
= 0.1w²-w+5
Answer:
d (w) = 0.1w2 – w+ 5
Step-by-step explanation:
I took the test
What is the length of AB?
Answer:
B. 6
Step-by-step explanation:
We can see that through angles A and C that this triangle is an isosceles triangle. Knowing that, we can set up the equation 3x=4x-2. We can simplify by adding 2 two both sides. We get the equation 3x+2=4x. Then we subtract 3x from both sides. So therefore, 2=x. Length AB is 3x so we would do 2*3, which is equal to 6. So your answer would be B. 6.
Soda is sold in aluminum cans that measure 7 inches in height and 2.8 inches in diameter.
How many cubic inches of soda are contained in a full can?
Answer:
Volume of soda in soda can = 43.1 inches³ (Approx.)
Step-by-step explanation:
Given:
Height of soda can = 7 inches
Diameter of soda can = 2.8 inches
Find:
Volume of soda in soda can
Computation:
Radius of soda can = Diameter of soda can / 2
Radius of soda can = 2.8 / 2
Radius of soda can = 1.4 inches
Volume of soda in soda can = Volume of cylinder
Volume of soda in soda can = πr²h
Volume of soda in soda can = (3.14)(1.4)²(7)
Volume of soda in soda can = (3.14)(1.96)(7)
Volume of soda in soda can = 43.1 inches³ (Approx.)
Triangle GCH is similar to triangle DCE. Find CH
Answer:
x = 65
Step-by-step explanation:
if two triangles are similar then we can use the similarity ratio to find the length of CH
60/156 = x/169 cross multiply expressions
156x = 10140 divide both sides by 156
x = 65
Which pair of angles are vertical angles?
A)
B)
C)
D)
Answer:
Step-by-step explanation:
The angles opposite each other when two lines cross. They are always equal.
here,vertically opposite angles are
angle RQW and angle TQU
angle RQV ang angle SQU
angle SQR and angle UQV
angle WQV and angle SQT
[100 point question answer asap]find the areas of the trapezoids
Answer:
7.5
Step-by-step explanation:
You have two triangles with areas of 1.5 and 3 as well as a rectangle with an area of 3
Answer:
Area = 7.5
Step-by-step explanation:
Use this formula to find the area of a trapezoid A = [tex]\frac{a + b}{2} h[/tex]
Plug numbers in[tex]\frac{1 + 4}{2}*3[/tex]Area is = to 7.5
How many beans stacked on top of each other would it take to reach the moon. And we're talking Lima beans here.
Answer:
I would say more than 4 billion...
Step-by-step explanation:
PLEASE HELP !! suppose that F(x)=x^2 and G(x)=3x^2+8.which statement best compares the graph of G(x) with the graph of F(x)
Answer:
The graph of g(x) is the graph of f(x) stretched by 3 and shifted 8 units up
Step-by-step explanation:
Given
[tex]f(x)=x^2[/tex]
[tex]g(x) =3x^2 + 8[/tex]
Required
Compare g(x) and f(x)
We have:
[tex]g(x) =3x^2 + 8[/tex]
Rewrite as:
[tex]g(x) =3[x^2] + 8[/tex]
Substitute:[tex]f(x)=x^2[/tex]
[tex]g(x) =3f(x) + 8[/tex]
This means that:
3f(x)
f(x) is stretched vertically by a factor of 3
+8
Then shifted upwards by 8 units to give g(x)
Select all the numbers that show 4% as an equivalent fraction, decimal, or percent.
[] 0.04
[] 40%
[] 10
[] 4
[] 100
[] 0.4
Write the product in its simplest form : 6c • (-7c^6)
Answer:
Step-by-step explanation:
(-7*6)(c*c^6) = -42c^7
Find the slope and the y-intercerpt f(x) = 8 -7/8x
Answer:
slope = -7/8
y-intercept = 8
Step-by-step explanation:
slope intercept form is
y = mx + b
m is slope
b is y-intercept
------------------------
f(x) = 8 - 7/8x
Rearrange into slope intercept form
f(x) = -7/8x + 8
slope = -7/8
y-intercept = 8
Answer:
Slope = -7/8
Y-intercept = 8
Step-by-step explanation:
Hi there!
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept.
f(x) = 8-7/8x
Given the above, rearrange it in slope-intercept form to help us find the slope and y-intercept:
f(x) = -7/8x+8
Now, we can see clearly that -7/8 is in place of m and 8 is in place of b. This means that -7/8 is the slope of the line and 8 is the y-intercept.
I hope this helps!
Canterbury Cycles sells Harleys and pays each salesperson a commission of $800 for each cycle sold. During the month of December, a salesperson sold 3 cycles. The company pays commissions on the 5th day of the month following the sale. Which of the following statements is true?a. The salesperson will recognize commission revenue earned in the amount of 2400 in Decemberb. The company will recognize commission expense in the amount of $2,400 in December.c. The salesperson will recognize commission expense in the amount of $2,400 in January.d. The salesperson will recognize revenue in the same month that the cycle dealer recognizes expense.
Answer: The company will recognize commission expense in the amount of $2,400 in December
Step-by-step explanation:
Based on the information given in the question, the company will recognize commission expense in the amount of $2,400 in December.
A commission is regarded as a fee which is paid to a salesperson by a company in exchange for completing a sale.
It should be noted that in the accrual basis of accounting, commission should be recorded in the same period as when the sale generated was generated.
Answer:
b. The company will recognize commission expense in the amount of $2,400 in December.
Step-by-step explanation:
Based on the information given the statements that is true will be: THE COMPANY WILL RECOGNIZE COMMISSION EXPENSE IN THE AMOUNT OF $2,400 IN DECEMBER reason been that each salesperson were paid a commission in the amount of $800 for each cycle sold, which is 3 cycles during the month of December.
Calculation to determine the Commission Expense
Commission Expense=$800*3 cycles
Commission Expense=$2,400
Therefore The company will recognize commission expense in the amount of $2,400 in December.
PROBLEM IS ABOVE PLEASE HELP
Answer:
A
Step-by-step explanation:
slant height of the exagon = side/2 * √3 = 2.5√3 cm
area of the hexagon = (side * slant height)/2 * 6 = (5 * 2.5√3)/2 * 6 = 64,951905 cm^2
Volume of the prism = area of the hexagon * height = 974,278579 cm^3
Volume of the cylinder = radius^2 * pi * height = 36 * pi * 15 = 1.696,460033 cm^3
volume of the kaleidoscope = 722,181454 cm^3
Area of circle with a diameter of 8ft?
Answer:
it is 50.27
Step-by-step explanation:
the formula for finding the area it
A= pi r^2
pi=3.14
so that being said you want to:
you want to divide the diameter by 2 to get 4,then you want to do 4^2 to get 16. then multiply 16 by 3.14 to get 50.265 then you want to round up to 50.27
Robin saved money during the months of July and August can some one help me
Step-by-step explanation:
(340*20)-3
HOPE IT HEPL U
A new car's original price is $13,999. If it's on sale
for 10% off, what's the new price?
the equation of a straight line is 2y+6x=-8.find the gradient of the line
Step-by-step explanation:
Y= mx + c
2y = 3x - 8
2y = -3× - 8 ( divide all yerms by two )
y = -3 × 4
2
y = -3
2
Hello if you're able to answer this question help me and provide work as well, Thank you.
Answer:
answer is option B since they are in GM
Answer:
[tex]\text{b. }786,432[/tex]
Step-by-step explanation:
The [tex]n[/tex]th term of a geometric sequence is given by [tex]a_n=a_1\cdot r^{n-1}[/tex].
What we know:
[tex]a_1[/tex] is 3 [tex]r[/tex] is 2 (common ratio, each term is being multiplied by 2)Substituting given values, we get:
[tex]a_{19}=3\cdot 2^{19-1},\\a_{19}=3\cdot 2^{18}=\boxed{\text{b. }786,432}}[/tex]
58. Consider the graph of the line below. a State the slope of the line. b. State the x-intercept as an ordered pair. c. State the y-intercept as an ordered pair. d. Write the equation of the line in the form y = mx + b.
Answer:
No solution is possible
Step-by-step explanation:
You failed to include the graph.
what is the price of a mobile set whose marked priced is Rs.15000 and 13% vAT was levied after allowing 20%discount on it.
Answer:
Rs. 18080
Step-by-step explanation:
Given :
Marked price = Rs. 20000
Discount = 20%
Discounted price = (100-20)% * marked price
Discounted price = 80% * 20,000 = Rs. 16,000
The VAT = 13%
VAT charge = 13% * 16,000 = Rs. 2080
Final price = discounted price + VAT charge
Final price = 16000 + 2080 = Rs. 18080
Given a circle with a radius of 22 inches, what is the circumference in terms of π?
Answer:
[tex]circumference = 2\pi \: r \\ = 2 \times \pi \times 22 \\ = 44\pi \: inches[/tex]
Answer:
The circumference is 44 pi.
Step-by-step explanation:
You have to use the formula, C=2 Pi R but since it's in terms of pi, we can not include pi in the equation. 2 times r (radius) is 44, therefor the answer is 44 pi.
What is m∠CDE? pls help
Answer:
68
Step-by-step explanation:
∠ACB = ∠DCE
= 180-92/2
=44
∠CDE = 180 - 44 / 2
68
Calculate the total cost, total depreciation, and annual depreciation for the following assets by using the straight-line method. Cost Shipping Charges Setup Charge Total Cost Salvage Value Estimated Useful Life (years) Depreciation Total Annual
1. $5,600 $210 $54 ______ $600 6
2. $16,900 $310 0 ______ $1900 4
Answer:
a. For Asset 1, we have:
Total cost = $5,864
Total depreciation = $5,264
Annual depreciation = $877.33
b. For Asset 2, we have:
Total cost = $17,210
Total depreciation = $15,310
Annual depreciation = $3,827.50
Step-by-step explanation:
Note: The data in this question are merged together. They are therefore sorted before answering the question. See the attached pdf for the complete question with the sorted data.
Also note: See the attached excel file for the presentation of the data in the question with the answers (in bold red color).
The explanation of the answers is now given as follow:
Straight line method is a method of calculating depreciation and amortization of an asset by dividing the difference between the total cost and salvage value of an asset by its estimated useful life.
Therefore, wee have:
a. For Asset 1, we have:
Total cost = Cost + Shipping Charges + Setup Charge = $5,600 + $210 + $54 = $5,864
Total depreciation = Total cost - Salvage Value = $5,864.00 = $600 = $5,264
Annual depreciation = Total depreciation / Estimated Useful Life = $5,264 / 6 = $877.33
b. For Asset 2, we have:
Total cost = Cost + Shipping Charges + Setup Charge = $16,900 + $310 + $0 = $17,210
Total depreciation = Total cost - Salvage Value = $17,210 - $1,900 = $15,310
Annual depreciation = Total depreciation / Estimated Useful Life = $15,310 / 4 = $3,827.50
The function f is defined by f(x)=x^2+3x-10
Answer:
hope it is helpful to you
Find the solution set of this inequality. Select
the correct graph.
|-8x+4|>12
Answer:
The first option is correct
Step-by-step explanation:
Hope it is helpful....
Find the area of the circle the area is ? m2
Answer:
roughly 12.57
Step-by-step explanation:
pi times [tex]r^{2}[/tex]
Answer:
4π
Step-by-step explanation:
Hello!
The area of a circle is calculated using the formula [tex]A = \pi r^2[/tex].
A = areaπ = pir = radiusTo solve for the area, we plug in the value for the radius.
Find the Area[tex]A = \pi r^2[/tex][tex]A = \pi (2)^2[/tex][tex]A = 4\pi[/tex]Usually we round Pi to 3.14 and multiply, but since it's asking for the exact value, we can just leave it as is.
The area in terms of Pi is 4π.
PLEASE HELPPPP ASAP PLS WILL MARK BRAINLIEST
Answer:
5X+6+3X-2 =180
8X+4. =180
8X. =180-4
8X. =176
X=22
CBD=EBF=3x-2
=66-2
=64
CBD=64
c) Determine the location and values of the absolute maximum and absolute
minimum for the given function:
f(x) = (-x + 2)4, where 0 <x<3
Answer:
The absolute maximum on the interval 0 < x < 3 is at x = 2 and f(2) = 0. Since x = 2 can only give an absolute maximum, so there is no absolute minimum.
Step-by-step explanation:
f(x) = (-x + 2)⁴
to find the absolute maximum and minimum values, we differentiate f(x) with respect to x.
So df(x)/dx = f'(x) = 4(-x + 2)³
The maximum and minimum values are obtained when f'(x) = 0
So, 4(-x + 2)³ = 0
⇒ (-x + 2)³ = 0
⇒ -x + 2 = 0
-x = -2
x = 2
Now, f(2) = (-2 + 2)⁴ = 0⁴ = 0
So, the absolute maximum on the interval 0 < x < 3 is at x = 2 and f(2) = 0. Since x = 2 can only give an absolute maximum, so there is no absolute minimum.
When evaluated, which expression has a result that is a rational number?
Answer:
√144 * 0.25 is rational!
Step-by-step explanation: