The area of a planned garden can be modeled by the equation A= -4w2 + 64w,
where w is the width of the garden in feet. Someone please help
Answers
Answer:
8 feet, 256 ft^2
Step-by-step explanation:
The function of the area can be graphically rapresented with a parabola that opens downwards
in this specific case the vertex is the maximum point of the parabola.
(X) Vertex = -64/-8 = 8 feet
(Y) Vertex = -4(64) + 512 = -256 + 512 = 256 ft^2
Answer:
Maximum Width = 8 feet.
Maximum area = 256 ft^2.
Step-by-step explanation:
Part A.
A = -4w^2 + 64w
Finding the derivative:
dA/dw = -8w + 64 = 0 for maxm/minm, so
-8w = -64
w = 8
The second derivative is -8 so w = 8 gives a maximum.
Part B.
The maximum area = -4(8)^2 + 64*8
= -256 + 512
= 256 ft^2.
Related Questions
Two sides of a triangle have lengths 4 and 7. Which of the following can NOT be the length of the third side?
Answers
Answer:
3 < x < 11
Step-by-step explanation:
triangle inequality theorem states that the sum of any two sides of a triangle must be greater than the third side
if 'x' is the third side then:
x + 4 > 7
7 + 4 > x
therefore, 'x' must be greater than 3 and less than 11
The value of the third side should be < 11 so, it cannot be 11, the correct option is C.
What is a Triangle?A triangle is a polygon with three sides, three vertices and three angles.
The two sides of a triangle are 4 and 7
According to the property of sides of a triangle, The measure of the third side of a triangle is always less than the sum of the two sides.
The sum of the sides is 4+7 = 11
Let the third side be x
then,
x < 11
The x cannot be 11.
The missing options are
A. 4
B. 7
C. 11
D. 5
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How many moles are in 30.0g of N2
Answers
Answer:1.0709
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
To be very accurate 1.1
How many four digit numbers cannot be divided by 5?
Answers
Answer:
2556
Step-by-step explanation:
If a chicken eats 7 food pellets every 10m, and sleeps for 12h, how many pellets would you need for a week and what is the equation
Answers
Answer:767
Step-by-step explanation:
Factor the algebraic expression: 28a + 12
Answers
Answer:
hope it is helpful to you
Answer:
4(7a+3)
Step-by-step explanation:
28a+12
take common
4 is the common number for both the terms because it divides 28 and 12 exactly.
4(7a+3)
Help pleasee! I need to get this right.
Answers
Answer:
You got it! B. x ≤ -7 or x ≥ 2
Step-by-step explanation:
In inequalities, a filled dot means "also including," so the value at which the filled dot is placed is also included in the inequality (hence the "or equal to"). In this case, both red dots (at -7 and 2) are filled, so both values are included in the inequality.
The red portions are part of the inequality. Looking at the arrow going from -7 and pointing to the left, we can tell that that value and the ones smaller than -7* are included, so it would be x ≤ -7.
Looking at the arrow pointing from 2 to the right, it includes 2 and all the numbers to the right of it, so the inequality would be x ≥ 2.
So, the final answer is B. x ≤ -7 or x ≥ 2.
*the value of negative numbers decreases as the numbers themselves increase (-5 is larger than - 36, for example).
Which statement has the same information that is given for the proof below
Answers
Answer:
D. TU is a midsegment
Step-by-step explanation:
Find the area of the polygon . :)
Answers
Answer:
41 square units
Step-by-step explanation:
this polygon can be split into several sub-shapes, for which we can calculate their areas much easier. and then we simply add all the sub-results for the total result.
for me this split would be
1. square CDEF, with F being an additional point at (6,5) : 4 units to the right of C.
2. a right-angled triangle ABF (the same F as for 1.).
the area of a square is the square of a side length.
the side length in 1. is 4.
so, its area is 4×4 = 16 square units.
the area of a right-angled triangle is
a×b/2
with a and b being the sides enclosing the 90 degree angle.
in our case here a = BF = 10, b = FA = 5
so the area of the triangle is 10×5/2 = 25 square units.
so, the total area is 16 + 25 = 41 square units.
What do you get when you subtract-3xy from 5xy
Answers
Answer:
8xy
Step-by-step explanation:
(5xy)-(-3xy)= 5xy+3xy=8xy
Why:
Well if you have 5 of that something and get 3 more of that something you have 8 of that something.
Answer:
8xy
Step-by-step explanation:
5xy--3xy
a - and a - equal a +, so it's 5xy+3xy, which equels 8xy.
Question in the picture ^
Answers
Step-by-step explanation:
try use ruler for AB , AC , & BC ,
then find the area of
In a city, the distance between the library and the police station is 3 miles less than twice the distance between the police station and the fire station. The distance between the library and the police station is 5 miles. How far apart are the police station and the fire station?
Answers
Answer:
4 miles apart. the answer this question.
A study of a population of 102
parrakeets revealed that 4 out
of every 12 parakeets in the
population are blue.
Based on the results of this
study, how many parakeets in
the population are NOT blue?
Answers
Answer:
68
Step-by-step explanation:
4 out of 12 are blue.
Then 8 out 12 are not blue.
8 out of 12 is the same as the fraction 8/12 which can be reduced to 2/3.
2/3 of the birds are not blue.
2/3 of 102 = 2/3 * 102 = 68
Answer: 68
A equation for the ninth term of a arithmetic sequence who seventh term is 21 and common difference of 5
Answers
Answer:
[tex]9th=31[/tex]
Step-by-step explanation:
From the question we are told that:
Seventh term [tex]7th= 21[/tex]
Common difference [tex]d= 5[/tex]
Generally Equation for seventh term
[tex]7th=a+(7-1)d[/tex]
Therefore the First Term is given as
[tex]a=7th-(7-1)d[/tex]
[tex]a=21-6*5\\a=-9[/tex]
Generally the equation for 9th term is mathematically given by
[tex]9th=a+8d[/tex]
[tex]9th=-9+8(5)[/tex]
[tex]9th=31[/tex]
10th Grade Mathematics Assessment SU
Question 3
A family wants to purchase a new refrigerator, but they need to determine the volume before they buy it. What is volume of the refrigerator?
4 ft
3 ft
1
2 ft
4 ft
Answers
The following table shows the probability of rolling the numbers 1 through 7
on a fair 7-sided die.
х
1
2
3
4
5
6
7
P(X) 1/71/71/71/71/71/71/7
What is the standard deviation of the random variable X, "the number that
comes up on the die"?
A. 1.708
OB. 3.745
O C. 2.917
Оооо
D. 3.5
E. 2.0
Answers
Answer:
2.0
Step-by-step explanation:
Couldn't really understnd what you wrote but I'll assume it's the standard deviation of a fair, 7-sided die
The standard deviation is just the square root of the variance (which is just the second moment minus the first moment squared)
The first moment (AKA the average is..)
[tex]\frac{1+2+3+4+5+6+7}{7}=4[/tex]
The second moment is..
[tex]\frac{1^2+2^2+3^2+4^2+5^2+6^2+7^2}{7}=20[/tex]
[tex]\sqrt{20-4^2}=2[/tex]
Which is the axis of symmetry of a parabola with equation y? --8x?
O y = -2
O y = 0
0 x = 0
O x = 2
Answers
Please answer max 10 min, I have a test.
Given a room is 12 feet by 10 feet and we have a circular rug with a radius of 3 feet, calculate the amount of floor left uncovered by the circular area rug in a rectangular living room. Show all your work.
Answers
Step-by-step explanation:
floor = 12*10= 120 sq ft
rug = r² = 9 Пr2
120-9π = 91.74 sq ft
Which of the following are magnitudes for rotational symmetry of the regular octagon below about the marked point?
Answers
The magnitude of rotational symmetry of the regular octagon below the marked point is 45°, so option A is correct.
What is octagon?Eight sides, eight internal angles, and eight vertices are the characteristics of an octagon. An octagon is referred to as being regular if all of its sides and angles have the same measurements.
Given:
From the figure, the lengths of the side of the octagon are equal,
So the angle will also be equal,
And we know that octagon has 8 interior angles and their sum is 360 degrees.
Now for measure of one angle = 360° / 8 = 45°,
Therefore, the magnitude of rotational symmetry of the regular octagon below the marked point is 45°.
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can someone help me please with solution
Answers
You can earn money by shoveling your neighbors' driveways in the winter and get paid $10 per hour. What is a function that would define this situation?
Answers
Answer:
Total income= $100
Step-by-step explanation:
Giving the following information:
Hourly rate=$10
To calculate the total income, we need to use the following formula:
Total income= hourly income*number of hours
For example, for 10 hours shoveling in a week:
Total income= 10*10
Total income= $100
Please help !!!!!!!!
Answers
Answer:
C = (4,4)
It is (4,4) because it means that it is twice as large as the original coordinates.
pls help me ???????????????????
Answers
Answer:
Hi♀️
Step-by-step explanation:
ΔMAN≅ΔNED
ΔRED≅ΔRGD
ΔLAN≅ΔLEI
ΔRKI≅ΔIYC
Hope it helps you!
There are 2 gold coins and 45 silver coins in Wyatt's coin collection. What is the ratio of the number of gold coins to the number of silver coins?
Answers
Answer:
2:45
Step-by-step explanation:
2:45
Has 1000 seats there are 424 adults and 339 children sitting in seats how many of the seats are a movie theater has 1000 seats there are 424 adults and 339 children sitting in seats how many of the seats are empty
Answers
Answer:
263
Step-by-step explanation:
424+339=764
1000-764=236
A delivery company has 2 shipping options. One option is to pay a flat fee of $16 for a single package regardless of weight. The other option is to
pay a fee of $4.50 plus $1.70 per pound for a single package.
Which system of equations can be used to determine the weight, w, of the package, in pounds, where the cost, c, will be the same for both
shipping options?
Answers
Step-by-step explanation:
the equation is
c =>
4.50 + 1.70 w = 16
Tara has read 95\%95%95, percent of the books she owns. If Tara owns 160160160 books, how many of her books has she not read?
Answers
Answer:
Number of books she has not read =8
Step-by-step explanation:
Number of books Tara has=160
Number of books she has read =Percentage of what she has read x Number of book s she has =95% x 160=152
Number of books she has not read =Number of books Tara has- Number of books she has read=160-152=8
A tablet and a digital camcorder are both on sale for 30% off. The regular price of the tablet is $185. The regular price of the camcorder is $140.
Part A
Find the sale price of the tablet. Explain.
Part B.
Dylan wants to buy both the tablet and
the camcorder. How much will he pay if he buys them during the sale?
Answers
Answer:
355
Step-by-step explanation:
$355 because have you got to add 185 with 140 that will get you that 322 then u got to add to 322 with 30
Select the correct answer from each drop-down menu.
Complete the number sentence to represent finding the fair share of goldfish in each bowl.
Answers
Answer:
30/5=6
Step-by-step explanation:
There’s 30 fish put into five bowls, and there’s six fish in each
Which numbers are written in scientific notation? Check all that apply.
0.87x10^8
15.489 x 10^6
O 10.1x 10^-12
07.08 x 10^6
1.2345 x 10^-1
Answers
Answer:
The last two
Step-by-step explanation:
Scientific notation:
a number between 1 and 10 is multiplied by a power of 10. For example, 650,000,000 can be written in scientific notation as 6.5 ✕ 10^8
5.88 pts
> A statue of George Washington is in Druid Hill Park. Elliot stands 16 ft away from the
statue, and places a mirror 12 ft from the statue (4 ft from his feet). He can see the
top of the statue in the mirror. If Elliot's height is 6 ft. How tall is the statue?
O 2 ft
O 18 ft
0 24 ft
O 8 ft
Answers
Answer:
18 ft
Step-by-step explanation:
Similar triangles are proportional
Ratio of vertical legs = Ratio of base legs
x/6 = 12/4
multiply both sides by
x = 12/4 * 6
x = 18 ft
