Answer:
25metres
Step-by-step explanation:
Complete question
Shenelle has 100 meters of fencing to build a rectangular garden. The garden's area (in square meters) as a function of the garden's width xxx (in meters) is modeled by: A(x )= -(x-25)² + 625
What width will produce the maximum garden area?
At maximum area of the garden dA/dx = 0
dA/dx = -2(x-25)
0 =-2(x-25)
-2(x-25) = 0
x - 25 =0
x = 0+25
x = 25
Hence the width that will produce the maximum garden area is 25metres
Answer:
625 square meters
Step-by-step explanation:
The garden's area is modeled by a quadratic function, whose graph is a parabola.
The maximum area is reached at the vertex.
So in order to find the maximum area, we need to find the vertex's y-coordinate.
The function A(x) is given in vertex form.
The vertex of -(x-25)^2+625 is at (25,625)
In conclusion, the maximum garden area is 625square meters.
correct on khan academy
Find the value of x!?!??!!
Answer:
Step-by-step explanation:
70+85+150+x=360 degree(sum of 4 angles is always 360 degree)
305+x=360
x=360-305
x=55 degree
Answer:
85+1 50+70+x=360{ sum of interior angels of of quadrilateral}
305+x=360
x=360-305
x=55degree
please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!! NO SCAM LINKS !!!!!!!!!!!!!!!!!!
Answer:
68.
Step-by-step explanation:
We have adjacent and hypotenuse given.
So, cosФ= adj/hpt
cos inverse=3/8
Ф=67.97=68.
help please!
figure out the "inflection point" of the following function
f(x)=5x³ + 2x² − 3x
Answer:
x = -2/15.
Step-by-step explanation:
Finding the second derivative:
f'(x) = 15x^2 +4x - 3
f"(x) = 30x + 4
30x + 4 = 0 for a point of inflection
x = -4/30 = -2/15
So 30x + 4 is negative up to x = -2/15 and positive thereafter.
So the curve passes from concave downward to concave upward at x = -2/15.
Answer:
[tex] \displaystyle \left( - \frac{2}{15} , \frac{286}{675} \right)[/tex]
Step-by-step explanation:
to figure out the infection point
take derivative both sides:
[tex] \displaystyle f'(x) = \frac{d}{dx} {5x}^{3} + 2 {x}^{2} - 3x[/tex]
By sum derivation rule we acquire:
[tex] \displaystyle \rm f'(x) = \frac{d}{dx} {5x}^{3} + \frac{d}{dx} 2 {x}^{2} - \frac{d}{dx} 3x[/tex]
apply exponent derivation rule which yields:
[tex] \displaystyle f'(x) = {15x}^{2} + 4{x}^{} - 3[/tex]
take derivative in both sides once again which yields:
[tex] \rm\displaystyle f''(x) = \frac{d}{dx} {15x}^{2} + \frac{d}{dx} 4{x}^{} - \frac{d}{dx} 3[/tex]
remember that, derivative of a constant is always 0 so,
[tex] \rm\displaystyle f''(x) = \frac{d}{dx} {15x}^{2} + \frac{d}{dx} 4{x}^{} - 0[/tex]
by exponent derivation rule we acquire:
[tex] \rm\displaystyle f''(x) = {30x} + 4{}^{} [/tex]
substitute f''(x) to 0 figure out the x coordinate of the inflection point:
[tex] \rm\displaystyle {30x} + 4{}^{} = 0[/tex]
cancel 4 from both sides:
[tex] \rm\displaystyle {30x} = - 4[/tex]
divide both sides by 30:
[tex] \rm\displaystyle {x} = - \frac{2}{15} [/tex]
now plugin the value of x to the given function to figure out the y coordinate of the inflection point:
[tex] \rm \displaystyle f(x) = {5 \left( - \frac{2}{15} \right) }^{3} + 2 {\left( - \frac{2}{15} \right) }^{2} - 3 \left( - \frac{2}{15} \right)[/tex]
By simplifying we acquire:
[tex] \displaystyle f(x) = \frac{286}{675} [/tex]
hence,
the coordinates of inflection point are
[tex] \displaystyle \left( - \frac{2}{15} , \frac{286}{675} \right)[/tex]
what is the slope of the line represented by the equation
y= -1/2x +1/4?
a.-1/2
b.-1/4
c.1/4
d.1/2
Answer:
a). -1/2
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
From the equation of a line, y = mx + c where m is the slope.
I will give brainliest for correct answer!
Answer:
you forgot the question
Step-by-step explanation:
Answer:
where is the question? we need the question lol
What does D equal in 3D = 96
I need help with this please!
Answer:
"Certain" Maby I dont know
How do I find the surface area of a cylinder?
Answer:
SA = 2πr² + 2πrh
Step-by-step explanation:
2πr² will provide the surface area of the top and bottom of the cylinder
2πrh will provide the surface area of the cylinder portion that connects the top and bottom
The least common denominator is 12. Rewrite the fractions 1 2/3, 1 1/2, 1 1/4 1 7/12 using this denominator.
Step-by-step explanation:
1 2/3, 1 1/2, 1 1/4 1 7/12 =>
1 8/12 , 1 6/12, 1 3/12, 1 7/12
540 rounded by the nearest tenth
Answer: 540
Step-by-step explanation: You get 540 when you round to the tenth place because it's already rounded.
what is the theoretical probability ?
Answer:
Theoretical probability is probability that is determined on the basis of reasoning. Experimental probability is probability that is determined on the basis of the results of an experiment repeated many times.
Step-by-step explanation:
A cone has a radius that is 12 inches and a height of 21 inches.
21 inches
12 inches
What is the approximate volume of the cone?
F 9,495 in.
G 264 in.
H 3,165 in.
1,809 in.
Answer: A
Step-by-step explanation: Because 32=23=12321=33+23123
the cost of toilet paper is 9.99 for 9 rolls, what is the price per roll of toilet paper?
Answer:
$1.11
Step-by-step explanation:
Find the price per roll by dividing the cost by the number of rolls:
9.99/9
= 1.11
So, the price per roll of toilet paper is $1.11
Find the value of X please help
Answer:
x = 119°
Step-by-step explanation:
The angle between chord KJ and chord LM is half the sum of the arcs intercepted by the angle and its vertical angle, that is
[tex]\frac{1}{2}[/tex] (75 + 47)° = 0.5 × 122° = 61°
This angle and x are adjacent angles and sum to 180° , then
x = 180° - 61° = 119°
help meeeeeeeeeeessss
Answer:
I think its c but just so you know I'm not really smart so I might be wrong
Round your answer to the nearest hundredth.
Answer:
26
Step-by-step explanation:
26
how do you calculate the area of a triangle without the height and all different side lengths? sorry for blurry photo
Answer:
Add those 3 numbers together, it's been awhile since I've done this but you have all 3 numbers so now you add them together
Dr Leonard Bernstein owner of software solving inc determines that he must mark up the software he sell to clients by 60% of selling price. Leonard's costs for a project with the local bank will total $1200000. What selling price should Leonard put in the contract with the bank
Answer:
The right solution is "$1,920,000".
Step-by-step explanation:
Given:
Project cost,
= $1200000
Dr. Leonard sells by
= 60%,
The mark up value will be:
= [tex]\frac{1200000\times 60}{100}[/tex]
= [tex]720,000[/tex] ($)
hence,
The selling price he should put with the bank will be:
= [tex]Project \ cost+Mark \ up \ value[/tex]
= [tex]1200000+720000[/tex]
= [tex]1,920,000[/tex] ($)
Two parallel plates of area 0.155 m2
are separated by 0.00100 m. What
is their capacitance?
Answer:
1.37 x 10^-9 F
Step-by-step explanation:
(8.85 x 10^-12) * (0.155) = 1.37 E -12
1.37 E -12 / 0.00100 = 1.37 x 10^-9
WILL MARK BRAINLYIST IF RIGHT!!I don’t know how to do this
Answer:
i would just round 0.50 to the nearest tenth
Step-by-step explanation:
if a triangle has a 50 degree angle and a 60 degree angle, how many degrees is the third angle?
Answer:
70
Step-by-step explanation:
has to add up to 180 bro.
I KNOW this will help.
Answer:
70
Step-by-step explanation:
The interior angles of a triangle always add up to 180°
What is the answer for X-5(x-1)=x(2x-3) ?
Answer:
1 2/3
Step-by-step explanation:
x-5x+5=2x-3x
-4x+5= -1x
5=3x
5/3=x
1 2/3=x
100 points!!! PLEASE ANSWER IT HOW I HAVE IT IN ORDER!!
On the southeast corner of Millennium Park, there is a garden walk. It is marked off in red in the drawing below. Side C, the hypotenuse of the triangle, shows the row along which flowers will be planted.
(a) If side a measures 90 feet and side b measures 120 feet, how many feet of flowers will be planted along side c, the hypotenuse of the triangle? Show your work and explain your reasoning.
(b) Calculate the area of the red triangle to find the area of the garden. Show your work.
(C) Millennium Park has an outdoor concert theater. Before a concert, the area reserved for special seating is roped off in the shape of a triangle as shown below. How can the converse of the Pythagorean theorem help you determine whether the roped off area is in the shape of a right triangle?
Part B: The second link is for this part!!!!
(d) The front of the stage, side C, is 50 feet long. A 40-foot rope runs along the side of square B. A 30-foot rope runs along the side of square A. Is the roped off area, triangle ABC, a right triangle? Explain.
(e) The diagonal of square A, marked off by the red stars, is where the concession stand is located. A local high school band is performing at the outdoor theater on a summer evening. The band has a school banner that is 40-feet long, and band members would like to hang it across the concession stand to let people know they are performing. Estimate the length of the concession stand to determine if the school banner can fit across the length of the concession stand. Show your work and explain your reasoning.
Answer:
a^2 + b^2 = c^2...a and b are the legs and c is the hypotenuse
90^2 + 120^2 = c^2
8100 + 14400 = c^2
22500 = c^2.....take the sq rt of both sides...this gets rid of the ^2
sq rt 22500 = c
150 = c
so side a = 90 ft, side b = 120 ft, and side c = 150 ft
this is called the pythagorean theorem and it only works on right triangles
Step-by-step explanation:
done sorry if im wrong
There were 64 runners in the St Patrick's day race. If there were 20 more girls than boys how many were girls and how many were boys
Answer:
42 girls 22 boys
Step-by-step explanation:
subtract 64 from 20
need help with this question
Now if the lemonade is 1.50 he can only buy two because the total amount is 8.30 so it will be 3.00 and the amount left will be 5.00 and you can only buy one cupcake so you will buy two lemonades one cupcake
Answer:
3
Step-by-step explanation:
You spend $8.30 total. Subtract the $5 for the cupcakes, and you're left with $3.30 to spend on lemonade.
Since you bought the dozen cupcakes, you get the lower price for the lemonade. Lemonade was $1.25, but subtract $0.15 and it's now $1.10/quart
3.30 divided by 1.10 = 3
I really need help with these two! If anyone can help tysm!
Answer:
1) 90 < x < 110
2) 2 < x < 12
Step-by-step explanation:
By the triangle inequality, the sum of the lengths of the shorter two sides of any triangle must be greater than the length of the longest side.
In the first example, this implies that x must be strictly between 90 and 110, and in the second example, x must be strictly between 2 and 12.
Hope this answers your question.
HELP ASAP PLEASEEEEEEE
The ration of two supplementary angles are 1:3 what is the measure of the smaller angle?
Answer:
45°
Step-by-step explanation:
Let :-
The ratio be 1x : 3xWe know :-
The sum of supplementary angles is 180° .On adding :-
→ x + 3x = 180°
→ 4x = 180°
→ x = 180°/4
→ x = 45°
Hence the smaller angle is 45° .Each table in a classroom is 100cm long and 50cm wide. what is the area of each table? there are 16 tables in the classroom. what is the total area of the tables in the classroom in square meters?
Answer:
A
Step-by-step explanation:
can someone please help
-18x
you first times the numbers, which becomes -18
Next you add the exponent from the veriables (x) (if you're diving you're subtractiong example: x^a/x^b = x^a-b)
Sooo when you add them you get 8-7=1 which means.. x^1 (but you don't need to put the 1)
-18x
Answer: Select the first one
Step-by-step explanation:
-6 multiplied 3 is -18
AND they both have power x which means -6x⁸ multiply 3x ⁻⁷
= -18 x⁸ ⁺⁽⁻⁷ ⁾(As the have same variable )
= -18 x⁸⁻⁷
=-18 x