Answers
Related Questions
A family wants to build a rectangular garden on one side of a barn. If 600 feet of fencing is available to use, then what is the area of the largest garden that could be built?
(A) Define a function that relates the area enclosed by the fence (in 〖ft.〗^2) in terms of its length (in ft.)
(B) What is the practical domain of this function?
(C) What is the largest area that the fence could enclose?
Answers
Answer: (A) [tex]A=300l-l^{2}[/tex]
(B) Length varies between 1 and 150
(C) Largest area is 22500ft²
Step-by-step explanation: Suppose length is l and width is w.
The rectangular garden has perimeter of 600ft, which is mathematically represented as
[tex]2l+2w=600[/tex]
Area of a rectangle is calculated as
[tex]A=lw[/tex]
Now, we have a system of equations:
[tex]2l+2w=600[/tex]
[tex]A=lw[/tex]
Isolate w, so we have l:
[tex]2w=600-2l[/tex]
w = 300 - l
Substitute in the area equation:
A = l(300 - l)
A = 300l - l²
(A) Function of area in terms of length is given by A = 300l - l²
(B) The practical domain for this function is values between 1 and 150.
(C) For the largest area, we need to determine the largest garden possible. For that, we take first derivative of the function:
A' = 300 - 2l
Find the values of l when A'=0:
300 - 2l = 0
2l = 300
l = 150
Replace l in the equation:
w = 300 - 150
w = 150
Now, calculate the largest area:
A = 150*150
A = 22500
The largest area the fence can enclose is 22500ft².
A cell phone plan costs $200 to start. Then there is a $50 charge each
month. 1. What is the total cost (start-up fee and monthly charge) to use
the cell phone for 1 month? 2. What is the total cost for x months? 3. Graph
the cost of the cell phone plan over a period of two years, using months as
the unit of time. Be sure to label your axes and scale them by labeling each
gridline with a number. 4. Is there a proportional relationship between
time and the cost of the cell phone plan? Explain how you know
Answers
Answer:
1.) $250
2.) x= 50c + 200
Step-by-step explanation:
98% of a number is 49 find the number using proportional reasoning
Answers
Answer:
98% of 50 is 49. 100% of 50 is 50, therefore 98 percent of 50 equals 49.
Step-by-step explanation:
Multiplying both sides by 100 and dividing both sides by 98,
we have x = 49 ×
100 /98 X=50
Priving all night. Kathryn drove her rig 5 hours before
dawn and 6 hours after dawn. If her average speed was
5 miles per hour more in the dark and she covered
630 miles altogether, then what was her speed after dawn?
Answers
Answer:
yes
Step-by-step explanation:
Answer: x=16
Step-by-step explanation:
shown in screenshot below
The distance from Alison's house to the mailbox is 25 mile. The distance from the mailbox to
the bus stop is 13 mile. What is the total distance from Alison's house to the bus stop?
Answers
Answer:
2/5+1/3
6/15+5/15=11/15
It’s 11/15 miles
Step-by-step explanation:
Answer:
25+13=38
Step-by-step explanation:
because it's 25 miles to the mailbox and 13 miles from the mail box to the bust stop do you just add
2/10 (4/5)-(5/2)+ (10)
Answers
Answer:
2/10 (4/5)-(5/2)+ (10)=7.66
Answer:
[tex]\frac{383}{50} = 7.66[/tex]
Step-by-step explanation:
[tex]\frac{2}{10}(\frac{4}{5})-(\frac{5}{2})+10[/tex]
[tex]= \frac{4}{25} -\frac{5}{2}+10[/tex]
[tex]=\frac{383}{50} = 7.66[/tex]
Solve for 10+5X<=20 please help me
Answers
Answer:
The answer is x=2. I hope that this helps.
Step-by-step explanation:
Answer:
If you're solving for x it should be x <= 2
Step-by-step explanation:
10 + 5x <= 20 -- isolate variable (subtract 10 from both sides)
-10 -10
5x <= 10 -- single out the x (divide both sides by 5)
/5 /5
x <= 2
Hope this helps :)
17 increased by twice Greg's height
Answers
Answer:25
Step-by-step explanation:
Please show your work.
(x^2 + 9x - 3) + (5x^2 - 7x - 4) + (2x^3 + x + 1)=
Answers
The amount of seed needed for a landscaper to cover a lawn is shown in the table. Decide if the relationship between the amount
of seed and the area it covers is proportional.
Answers
Answer:
yes it is
Step-by-step explanation:
what is the length of a chord at a distance for 4 cm away from the centre of a circle of radius 5 cm
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See attachment for math work.
We must reject x = -3 because distance is positive.
The value of x is 3.
Chord = 2x
Chord = 2(3)
Chord = 6 cm
help..?
i love this app lol ,ty if you answer but please fast
Answers
Answer:
the answer should be 8
Step-by-step explanation:
8-5=3
3/3=1
7. Which transformation is not an isometry?
Answers
Answer:
The star
Step-by-step explanation:
It's the. star because the others are the same shape just put at a different angel. But the star is a completly different shape. hope this helped :)
How many blue circles are equivalent to the orange square? Explain how you know.
Answers
Answer:
5 blue circles are equivalent to the orange square
Step-by-step explanation:
If you take away 2 blue circles from each side so that the orange square is by it's self, and the equation stays balanced, you will be left with 5 blue circles on the side without the orange square.
Answer:
5
Step-by-step explanation:
There are a total of 7 blue circles on the right side and 2 on the left.
You also know that both sides are equivalent.
You can assume that the all the blue circles have the same weight
If you subtract the only blue circles from the left from the 7 blue circles on the right you get
1 orange square on the left and 5 blue circles on the right.
Find AB.
А A
5x В 4х + 3 с
Answers
Answer:
Multiply 5 and 3 to get 15
15B4c
During the election for class president, 35% of students voted for Leandro and the rest voted for Gerardo. If 70 students voted for Leandro, how many voted for Gerardo? Someone answer it's due tmrw
Answers
Answer:
130 studentsStep-by-step explanation:
Out of the whole class, if 35% of students voted for Leandro voted for Leonardo , this means that 64% of the class voted for Gerardo.
Let the total number of people in the class be x;
If 70 students voted for Leandro, then;
35% of x = 70
0.35x = 70
x = 70/0.35
x = 200
The total number of people that voted for Gerardo will be 200 - 70 = 130
Hence 130 voted for Gerardo
please help :)
translate the sentence into an inequality.
two subtracted by Y is less than or equal to -22
Answers
Maria Invests $600 in a bank account that earns simple interest. She earns $30 at the end of 12 months . Janae invest $350 at the same rate of interest for 12 months
Answers
Answer:
Interest = $1.75
Step-by-step explanation:
Maria invest $600, and receives interest of $30 per year
We know that PRT/100= INTEREST
R=( 100*INTEREST)/(PT)
R = (100*30)/(600*1)
R= 3000/600
R= 5%
Jane invest $350 at Sam rate with Maria , that is 5% , for a year, her interest
Interest= 350*5*1/100
Interest = $1.75
The equations y = 2x - 5 and y = -x + 1 are shown on the coordinate plane. Which ordered pair correctly identifies the values of x and y that satisfy both linear equations?
help asap
1. 1,1
2. 2,-1
3. -5,.25
4. -1,2
Answers
Answer:
(1, -2)
Step-by-step explanation:
There are two ways:
1. You can find the answe by looking at where the lines intercept
2. Plug in each answer into the locations they're supposed to be in, for example, (1, 2) x=1 and y=2, and if the end result it 0=0 its correct.
Hope that helped!
A survey of 2400 was given to people who owned a certain type of car, 1080 said they would buy that type of car again. What percent of the people surveyed were completely satisfied with the car.
Answers
Answer: 45% were completely satisfied with the car.
Step-by-step explanation: You have to divide 1080 by 2400 and then change the deciman into a percentage.
Robert is collecting books to donate to the library.
The number of books he collects, nn, is defined by n=14d+21 where d is the number
of days he spends collecting books.
What does 14 represent in the context of Robert's book collecting?
A represents the number of books per day that are collected.
B represents the number of books per week that are collected.
C represents the number of books per month that are collected.
D represents the number of books per year that are collected.
Number 6 btw
Answers
The answer is c because it makes sense that it would be months.
Answer:
is A because basically in my EXAM is just have the first option
Kara was baking a cake. The recipe called for 8.5 cups of flour and she put in 3.2 cups so far. How many more cups of flour does she need?
**Write an equation AND solve:**
Answers
Answer:
5.3 cups of flour
Step-by-step explanation:
8.5 - 3.2 = 5.3 cups of flour
h(t)=480t-16t^2
solve for t
PLEASE SHOW WORK
Answers
Answer:
x = √30 or -√30
Step-by-step explanation:
480 - 16x^2 = 0
divide both sides by 16
30 - x^2 = 0
-x^2 + 30 = 0
-x^2 = -30
X^2 = 30
x = ± √30
x = √30 or -√30
1. Explain the difference between circumscribed angles and inscribed angles in relationship to a circle.
2. Explain, in your own words, the steps required to convert any equation of a circle into standard form be completing the square.
3. Explain/define the following terms, or draw a picture and label the terms.
a. radius
b. diameter
c. chord
d. secant
e. tangent
f. point of tangency
Answers
9514 1404 393
Explanation:
1. Consider the attachment. Angle CDF is a circumscribed angle. It is formed at the intersection of two tangents to the circle. Angles BCE, CBE, and BEC are inscribed angles. Their vertices are on the circle, and they are formed by two chords.
If a chord degenerates to zero length, the ray it represents with respect to an inscribed angle becomes a tangent. That is, angles BCD and ECD can also be considered to be inscribed angles. Similarly, straight angle DFG at tangent point F can be considered to be a degenerate case of both an inscribed angle and a circumscribed angle. (Some authors may not include degenerate cases in their definitions. YMMV)
__
2. The general form of the equation of a circle is ...
Ax² +Ay² +Dx +Ey +F = 0
Any equation of a circle can be put in this form. If we divide by A, this can be written as ...
x² +y² -2hx -2ky +c = 0 . . . . where h = -D/(2A), k = -E/(2A), c = F/A
and the equation can be further transformed to the standard form ...
(x -h)² +(y -k)² = r² . . . . . where r² = h² +k² -c
The last equation is the result of "completing the square" by adding h² and k² to both sides of the second equation shown. The values of h and k are as shown above, given the coefficients of the general form equation.
__
3. Again refer to the attached diagram.
a) a radius is a line segment with the circle center at one end and a point on the circle at the other end. AB and AC are radii.
b) A diameter is a line segment whose ends are on the circle and whose midpoint is the center of the circle. BC is a diameter.
c) A chord is a line segment whose end points lie on the circle. BC, BE, and CE are chords.
d) A secant is a line containing two points of the circle. Lines CG and CE are secants.
e) A tangent is a degenerate case of a secant in which the two points of intersection merge to one point of intersection. It is a line that touches the circle at exactly one point, the point of tangency. DG and DC are tangents.
f) The point of tangency is the single point where a tangent intersects a circle. A radius to the point of tangency (such as AC) is always perpendicular to the tangent line (DC).
**PLEASE HELP**
Find the equation, f(x)=a(x-h)^2+k, for a parabola that passes through the point (0,0) and has a (-3,-6) as its vertex. What is the standard form of the equation?
A.) The vertex form of the equation is f(x)= - 2/3(x+3)^2-6. The standard form of the equation is f(x)=2/3x^2+4x.
B.) The vertex form of the equation is f(x)=2/3(x+3)^2-6. The standard form of the equation is f(x)+-2/3x^2-4x.
C.) The vertex form of the equation is f(x)= - 2/3(x-3)^2-6. The standard form of the equation is f(x)=2/3x^2-4x.
D.) The vertex of the equation is f(x)=2/3(x+3)^2-6. The standard form of the equation is f(x)=2/3x^2+4x.
Answers
Answer:
D) The vertex of the equation is [tex]f(x) = \frac{2}{3}\cdot (x+3)^{2}-6[/tex]. The standard form of the equation is [tex]f(x) = \frac{2}{3}\cdot x^{2}+4\cdot x[/tex].
Step-by-step explanation:
Let [tex]A(x,y) = (0,0)[/tex] and [tex]V(x,y) = (-3, -6)[/tex] (vertex).
If we know that [tex]x = 0[/tex], [tex]y = 0[/tex], [tex]h = -3[/tex] and [tex]k = -6[/tex], then the standard equation results in:
[tex]a\cdot (0+3)^{2}-6 = 0[/tex]
And the value of [tex]a[/tex] is:
[tex]9\cdot a - 6 = 0[/tex]
[tex]a = \frac{2}{3}[/tex]
And the vertex form of the equation is [tex]f(x) = \frac{2}{3}\cdot (x+3)^{2}-6[/tex].
Lastly, the standard form of the equation is found by algebraic means:
[tex]f(x) = \frac{2}{3}\cdot (x^{2}+6\cdot x +9)-6[/tex]
[tex]f(x) = \frac{2}{3}\cdot x^{2}+4\cdot x[/tex]
The standard form of the equation is [tex]f(x) = \frac{2}{3}\cdot x^{2}+4\cdot x[/tex].
In consequence, the right answer is D.
The fraction 7/8 produces a repeating decimal.
0.875
O A. True
O B. False
Answers
Answer:
b
Step-by-step explanation:
the answer to 7/8 is 0.875 it is not recurring as it has no dot at the top
Melissa’s family is driving out of state to her grandmother’s house. They know that it takes 20 gallons of gas to get there, and the cost of three gallons of gasoline is $10.50. How much should the family budget to make the one-way trip?
Answers
Answer: 20/3 * $10.50 = &73.5
.
HOPE THIS HELPS TOUCH THANKS PLEASEStep-by-step explanation:
Answer:
73.5$
Step-by-step explanation:
21/7=3 so 10.50*7 will give the budget
how 2 explain this?
Thanksss.
Answers
Explanation: I would substitute 2 into x which would be y = 2(2) + 3. I would then multiply 2 and 2 which would give me 4 and then add 3 which I get 7. This means that (2,5) is not a solution to the equation.
A pecan pie recipe calls for 3 1/2 cups of sugar for 16 servings. How manny cups of sugar are needed for 32 servings
Answers
Answer:
7
Step-by-step explanation:
32 servings mean two 16 servings. 3.5 times 2 is 7.
Answer:
32/16=2 so you have to multiply the entire recipe by 2.
so 3 1/2 x 2 = 7 cups of sugar
solve for s and show steps please :) 2s+3+s=3s-2
Answers
Answer:
There is no solution for this equation
Step-by-step explanation:
2s+3+s=3s-2
We move all terms to the left:
2s+3+s-(3s-2)=0
We add all the numbers together, and all the variables
3s-(3s-2)+3=0
We get rid of parentheses
3s-3s+2+3=0
We add all the numbers together, and all the variables
5!=0
There is no solution for this equation