Answer
$30
Step-by-step explanation:
Liana has 320 yards of fencing to enclose a rectangular area. Find the dimensions of the rectangle that maximize the enclosed area. What is the maximum area? A rectangle that maximizes the enclosed area has a length of nothing yards and a width of nothing yards
Answer:
Breadth = 60, Length = 60
Step-by-step explanation
Let length & breadth of rectangular area be : L & B
As, Fencing Yards = 320. So, perimeter ie 2 (L + B) = 320
B = (320 - 2L)/2 → B = 160 - L (*)
Area of rectangle [A] = L x B = L (160 - L) → A = 160L - L^2
Maximising Area, So first derivative d [A] / d [L] = 160 - 2L
d [A] / d [L] ] = 0 → 160 - 2L = 0 → L = 160/2 → L = 80
By (*) : B = 160 - L = 160 - 80 → B = 80
Checking maximising condition, double derivative d^2[A] / d[L]^2 = -2
As d^2[A] / d[L]^2 is negative, L & B values are maximising A
-30 = 4 - 8x
please help me solve this
Answer:
4.25
Step-by-step explanation:
-30=4-8x
-4 -4
----
-34=-8x
/-8 /-8
----
4.25=x
Answer:
x=17/4
Decimal Form:
x=4.25
Mixed Number Form:
x= 4 1/4
explanation:
Find the distance between the points (-9,2) and (-1,4). Round to the nearest tenth if necessary.
Answer:
The answer to the nearest tenth is 8.2
Step-by-step explanation:
In order to find the distance between any two points, you must use the distance formula. when you plug in the points into the formula you end up with 8.246, rounded to the nearest tenth would be 8.2. I hope this helps!
Molly and Maddie are clothes shopping. Molly has $100.00 and a coupon for a $5.00 discount at a clothing store where each shirt costs $15.00. Molly thinks that she can buy 8 shirts, but Maddie says that Molly can buy 7 shirts. The equations they used to model the problem are listed below.
Solve each equation algebraically, justify your steps, and determine who is correct and why.
Molly's equation
15x + 10 = 100
Maddie's equation
15x - 10 = 100
Step-by-step explanation:
let us start with
Molly's equation
15x + 10 = 100
solving for x we have
15x=100-10
15x=90
x=90/15
x=6
Maddie's equation
15x - 10 = 100
solving for x we have
15x=100+10
15x=120
x=120/15
x=8
well, from the solution niether of them is correct
What is the value of the expression below?
(9 divided by 3) + 4 (6 minus 7)
–7
–1
7
20
Answer:
-1
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
-1
The number of loaves of bread that can be baked is proportional to the amount of flour used. Determine the number of loaves that can be baked with 15 cups of flour
Answer:
3 loaves
Step-by-step explanation:
See attachment for complete question.
Represent Loaves with L and Flour with F
Since L is proportional to F, the relationship can be defined as:
L = kF
Where k represent the constant of proportionality
When L = 4, F = 20
Substitute these values in the above formula.
4 = k * 20
Divide both sides by 20
4/20 = k
⅕ = k
k = ⅕
To solve for 15 cups of Flour, we have:
F = 15
Substitute 15 for F and ⅕ for k in L = kF
L = ⅕ * 15
L = 3
Hence, 3 loaves will be baked using 15 cups of flour
Rewrite the expression without parentheses.
14m-(-5m-4)
The triangle inequality theorem states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side. The lengths of two sides of the triangle are 13 feet and 23 feet. Find the possible lengths of the third side.
Answer:
Between the lengths of 10 and 36 (exclusive).
Step-by-step explanation:
Since the lengths of any two sides is always greater than the third, the shortest possible length of the third side must be greater than 23 when added to 13. 23-13 = 10, so the third side must be greater than 10.
However, the third side also cannot exceed the length of the sum of the other two sides. 23+13 = 36, therefore the length must be less than 36.
The possible lengths of the third side lie between 10 and 36 (exclusive).
If we use 'l' for length, this range can be represented as follows:
[tex]10 < l < 36[/tex]
Hope this helped!
Review the table.
A 2-column table with 4 rows. Column 1 is labeled x with entries pi, StartFraction 7 pi Over 6 EndFraction, StartFraction 5 pi Over 4 EndFraction, StartFraction 4 pi Over 3 EndFraction. Column 2 is labeled y = sine (x) with entries 0, blank, blank, blank.
Which values, in order, will complete the table?
Answer:
I think that the answer is A.
Step-by-step explanation:
The values that complete the table are -1/2, -√2/2 and -√3/2
How to complete the table of values?The function is given as:
[tex]y = sin(x)[/tex]
From the table, we have:
sin(π) = 0
Next, we calculate the value of y for other values of x
When x = 7π/6, we have:
sin(7π/6) = -1/2
When x = 5π/4, we have:
sin(7π/6) = -√2/2
When x = 4π/3, we have:
sin(4π/3) = -√3/2
Hence, the values that complete the table are -1/2, -√2/2 and -√3/2
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Ayo help me out. ;( spdkfjncnv
if f(x)=2x^3-2, what is the value of f(2)
Answer:
The answer is F(2) is equal to 15
Step-by-step explanation:
My knowledge is so powerful my brain hurts when I think.
Hope this helped
this was easy!
let me know if you want help with anything else
The midpoint of PQ is M(, –1). One endpoint is Q(3, –5). Which equations can be solved to determine the coordinates of P? Check all that apply.
Answer:
c and d. just did the lesson and its those two.
Step-by-step explanation:
Answer:
the person above me is right
Step-by-step explanation:
Question 1
8 pts
1) Drew is an artist. He paints portraits. The table below
shows the number of portraits painted in hours. Do the
numbers in the table represent a proportional relationship?
Number of portraits Time (In Hours)
1
5
2
10
3
15
4.
20
WN
yes
no
No answer text provided.
No answer text provided.
Answer: Yes
If you notice, you can actually see that each number is multiplied by 5:
1 x 5 = 52 x 5 = 103 x 5 = 154 x 5 = 20Hope this helps you!
FInd the Area of the figure
Answer:
18,400m^2
Step-by-step explanation:
8z - 22 = 3(3z + 11) - z
Answer:
There are no solutions.
Step-by-step explanation:
8z−22=3(3z+11)−z
Step 1: Simplify both sides of the equation.
8z−22=3(3z+11)−z
8z+−22=(3)(3z)+(3)(11)+−z(Distribute)
8z+−22=9z+33+−z
8z−22=(9z+−z)+(33)(Combine Like Terms)
8z−22=8z+33
8z−22=8z+33
Step 2: Subtract 8z from both sides.
8z−22−8z=8z+33−8z
−22=33
Step 3: Add 22 to both sides.
−22+22=33+22
0=55
The graph of this system of equations is used to solve 4 x squared minus 3 x + 6 = 2 x Superscript 4 Baseline minus 9 x cubed + 2 x. StartLayout Enlarged left-brace 1st row 4 x squared minus 3 x + 6 2nd row y = 2 x Superscript 4 Baseline minus 9 x cubed + 2 x EndLayout What represents the solution set? y-intercepts of the graph x-intercepts of the graph y-coordinates of the intersection points x-coordinates of the intersection points
Answer:
D on edulastic 2020
Step-by-step explanation:
Answer:
7x^4 + 3x^3 - 7x^2 + 2x + 5 = 0
Step-by-step explanation:
which statement about graph and horizontal line is true?
A. it’s slope is positive
B. it’s slope is negative
C. it’s slope is zero
D. it’s slope is undefined
The function y = -16t+ 40 represents the height y (in feet) of a water droplet t seconds after falling from an icicle. After how many seconds does the water droplet hit the ground? Round your answer to two decimal places.
Answer: The water fountain shoots water from a height of 6 ft.
Step-by-step explanation: When looking at a Quadratic Function on a graph it looks like a U (this one would be a upside down U). The top of that U is the Vertex. (keep in mind the question revolves around the X-Intersect)
A water droplet reaches its maximum height after 6 s IS WRONG
Talking about the VERTEX
It takes 6 s for a water droplet to rise and fall back to the ground IS WRONG
This is talking about the WHOLE Parabola
A water droplet reaches a maximum height of 6 ft. IS WRONG
This is also talking about the VERTEX
Can someone help me find. The mean absolute deviation of the data?
Answer:
F
Step-by-step explanation:
21+14+30+38+42= 145
145÷5= 29
Hope this helps, have a good day!
the water cylcle describes how water ?
X(x+5)+7(x+5)
Help please its for algebra class thanks for your support and your help thanks a lot
Answer:
x^2+12x+35Step-by-step explanation:
Let's simplify step-by-step.
x(x+5)+7(x+5)
Distribute:
=(x)(x)+(x)(5)+(7)(x)+(7)(5)
=x^2+5x+7x+35
Combine Like Terms:
=x^2+5x+7x+35
=(x^2)+(5x+7x)+(35)
=x^2+12x+35
Answer:
=x^2+12x+35
what is the ratio for 8 and 12
ANSWER PLZZ!!
Your neighbor Sally wants to plant flowers around the edge of her circular above ground pool. If the diameter of Sally’s Pool is 18ft, how many flowers will sally need to plant to surround the pool? Round your answer to the nearest hundredth
Answer:
This answer involves finding the circumference of the circle which is basically the length of the entire perimeter of the garden
Step-by-step explanation:
Circumference = 2 * pi * radius
2 * pi * 9 ft = 56 ft
So it depends how many flowers she wants to plant per each foot. If she wants to plant 1 flower per foot the answer is 56 flowers.
pls help me with this
if m angle P is there less than twice the measure of angle Q and angle P and angle Q are supplementary angles, find each angle measure
Answer:
can you add a picture of the problem?
Step-by-step explanation:
Identify the x and y intercepts 10x+4y=20
Answer:
x-intercept(s): (2,0)
y-intercept(s): (0,5)
Step-by-step explanation:
To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y
Here's the graph:
What is an equation of the line that passes through the point (5, 1) and is parallel to
the line x + y = 9?
Answer:
Step-by-step explanation:
y = -x + 9
y - 1 = -(x - 5)
y - 1 = -x + 5
y = -x + 6
The equation of the line that passes through the point ( 5, 1 ) and parallel to the line x + y = 9 is x + y = 6.
Here,
The point is given as ( 5, 1 ).
The equation of line is parallel to the line x + y = 9.
What is Equation of line?
The general equation of straight line is given as, [tex]y - y_{1} = m ( x-x_{1} )[/tex]
where, m is slope of line and ( x₁ , y₁) is point.
Now,
The equation of line is parallel to the line x + y = 9.
Hence, both line have same slope.
The slope of line x + y = 9 is given as,
⇒ y = -x + 9
compare with equation of line y = mx + c , we have;
Slope = -1
The equation of the line passes through the point ( 5, 1 ) and slope -1 is;
y - 1 = -1 ( x - 5)
y - 1 = -x + 5
y = -x + 6
Hence, The equation of the line that passes through the point ( 5, 1 ) and parallel to the line x + y = 9 is x + y = 6.
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Fiona is going to the grocery store for watermelons and pineapples. Watermelons cost $7 each and pineapples cost $4 each. Fiona has a total of $30 to spend. Use the equation 7w + 4p = 30 to answer the question below. If Fiona buys 3 watermelons, what is the maximum number of pineapples she can buy?
Answer:
The maximum number of pineapples Fiona can buy is 2.
Step-by-step explanation:
If Fiona buys 3 watermelons, thats 7 x 3 = 21. Then, (total amount of money) 30 - 21 = 9. To find how many pineapples she can buy, see how many times 4 goes into 9 (which is 2). Hope this helps!
Answer:
9.
Step-by-step explanation:
7x3=21, 30-21=9
24/root 3 multiply root 3/root 3
The square root of 15 is in between what 2 whole numbers?
The square root of 15 is between 3 and 4.
What is a number line?A number line in elementary mathematics is a representation of a graduated straight line that serves as an abstraction for real numbers, represented by the symbol R."
It is assumed that every point on a number line corresponds to a real number and that every real number corresponds to a point.
Given that the square root is 15. The value of the square root of 15 is calculated as,
The square root of 15 is 3.872.
Therefore, the square root of 15 is between 3 and 4.
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Find the slope of the line that passes through the points (-7,-5) and (4, -3).
Answer:
y = (-2/9)x
Step-by-step explanation:
Rise over run so between (-7,-5) and (4,-3) it goes up -2 and over 9 so -2/9. Put this next to x and boom you have the slope equation.