Answer:
0.55 or 11/20
Step-by-step explanation:
To make an enclosure for chickens, a rectangular area will be fenced next to a house. Only three sides will need to be fenced. There is 120 ft of fencing material. What quadratic function represents the area of the rectangular enclosure, where x is the distance from the house? What dimensions will maximize the area of the enclosure?
Answer:
Let the length parallel to the house be y
let each of the other two equal sides be x
2x + y = 120
y = 120 - 2x
Area = xy
= x(120 - 2x) or -2x^2 + 120x
b) you want the vertex.
x of the vertex is -120/(-4) = 30
when x = 30
y = 60
Maximum area = xy = 1800 ft^2
The quadratic function that represents the area of the rectangular enclosure is -2x² + 120x and x = 30 and y = 60 will make the area maximize.
What is a rectangle?A rectangle is a geometrical figure in which opposite sides are equal.
The angle between any two consecutive sides will be 90 degrees.
Area of rectangle = length × width.
Perimeter of rectangle = 2( length + width).
Let's suppose the length parallel to the house is y
And the remaining side is x then,
Perimeter = x + x + y
2x + y = 120
y = 120 - 2x
The area of the rectangle = xy
Area = x(120 - 2x)
⇒ -2x² + 120x
To find the maximum first derivate of the function area with respect to x compare with zero.
d/dx(-2x² + 120x) = 0 ⇒ -4x + 120 = 0
x = 30 so y = 120 - 2(30) = 60
Hence "The quadratic function that represents the area of the rectangular enclosure is -2x² + 120x and x = 30 and y = 60 will make the area maximize".
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Plz help I need answer asap
What is the solution set for this inequality? −6x + 30 < −18
Question 4 options:
x < -2
x > 8
x < 8
x > -2
Answer:
B. X > 8
Step-by-step explanation:
when dividing a negative denominator, you are flipping the sign. if the denominator doesn't have a negative sign, the sign isn't flipped.
steps:
subtract 30 by -18.
Soon you receive -48. Divide that by -6.
The signs soon flip giving you X> 8
For 4 weeks, William volunteered as a helper for swimming classes. The first week, he volunteered for 8 hours. He volunteered for 12 hours in the second week, and another 12 hours in the third week. The fourth week, he volunteered for 9 hours. For how many hours did he volunteer per week, on average? (write a sentence answer)
Answer:
He volunteered 10 hrs 15 min on average.
Step-by-step explanation:
The first week: 8 hrs
The second week: 12 hrs
The third week: 12 hrs
The fourth week: 9 hrs
8 + 12 + 12 + 9 = 41 hrs total
41 hours/4 weeks = 10.25 hrs (10 hrs 15 min)
Answer: 10.25 hours/week (On average, William volunteered 10.25 hours per week during these four weeks)
Step-by-step explanation:
To find an average, you need to add up each entity:
8+12+12+9=41
After that, you divide that number by n (the number of weeks)
41/4=10.25 hours
The sum of 2 and b is less than or equal to 26
PLEASE HELP :C
2+b <= 26
solving for b,
b<=24
[tex]12\times 12\times 11[/tex]
What is (-i)³?
Correct answer gets pinned.
Answer:
D
Step-by-step explanation:
Answer:
D. i
Step-by-step explanation:
When putting i to a power, there is a rule.
i¹ = i
i² = -1
i³ = -i
i⁴ = 1
And it repeats again, such as:
i⁵ = i
i⁶ = -1
And so forth.
This rule also applies to -i, but the values are slightly different:
(-i)¹ = -i
(-i)² = -1
(-i)³ = i
(-i)⁴ = 1
And that one keeps repeating such as
(-i)⁵ = -i
(-i)⁶ = -1
And so forth.
So to answer your question, (-i)³ = i.
Question Write an equation of the line passing through the point A(3, −1) that is parallel to the line y = 1/3x+10.
Answer:
y= 1/3x - 2
Step-by-step explanation:
Write an equation of a line that is perpendicular to y = 3x + 4
Answer:
[tex]y = - \frac{1}{3} x + 2[/tex]
Step-by-step explanation:
Slope-intercept form
y= mx +c, where m is the slope and c is the y-intercept.
y= 3x +4
Since the given equation is already in the slope-intercept form, we can easily identify the slope of this line by looking at the coefficient of x.
slope= 3
The product of the slopes of perpendicular lines is -1. Let the slope of the perpendicular line be m.
m(3)= -1
Divide both sides by 3:
m= -⅓
y= -⅓x +c
Since the question does not specify the points the perpendicular line passes through, c can be any integer.
Thus, the equation of the perpendicular line could be y= -⅓x +2.
Please help me I really need this done
Answer:
the one on the top right
Step-by-step explanation:
it multiplies by 6 and shows 3/4 of the all the columns shaded in
Imagine your class is having a pizza party and you are trying to decide how many pizzas to buy. The Italian Kitchen Pizzeria charges $12.99 (including tax) for a large cheese pizza. Principal Kenny has said that our class had a budget of $115 for our pizza party.
Answer:
8 pizzas for the party
Step-by-step explanation:
The Italian Kitchen Pizzeria charges $12.99
Budget of $115
How many pizzas to buy?
115 / 12.99 ≈ 8.853 pizzas
We can buy 8 pizzas. ( we do not have enough money for a ninth )
the sun of two numbers is 59 and the difference is 15. what are the numbers?
Answer:
1st number: 37
2nd number: 22
Step-by-step explanation:
let n = 1st number
let n-15 = 2nd number
n+(n-15)=59
collect like terms: 2n-15=59
add 15 to both sides
2n=74
divide both sides by 2
n=37
n-15=22
you earn $48 for washing 6 cars. How much money do you earn for washing 3 cars
Answer: $24
Step-by-step explanation: 3 is half of 6 and if you gain $48 for washing 6 cars then half it half of 6 is 3 and half of $48 is $24
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the time that the rocket will hit the ground, to the nearest 100th of second. Y=-16x^2+147x+80 y=−16x 2 +147x+80
Answer:
bc...
Step-by-step explanation:
The Jayden family eats at a restaurant that is having a 15% discount promotion. Their meal costs $78.40 before the discount, and they leave a 20% tip. If the tip applies to the cost of the meal before the discount, what is the total cost of the meal? Round your intermediate calculations and answer to the nearest cent.
Answer:
$ 80.22
Step-by-step explanation
Assumed 20% tip is on the discounted meal.The cost of the meal is $78.65
The cost of the meal after discount (15%)is 78.65(1−0.15)≈$ 66.85
Tip (20%) is : 66.85⋅0.2$13.37
Total cost of the meal is
66.85+13.37≈$80.22 [Ans]
Which of the following is the correct factorization of the polynomial below? 64x^3+27
A) (16x+8)(3x^2-12x+9)
B) (4x+3)(16x^2-12x+9)
C) (3x^2+4)(3x-16x+16)
D) The Polynomial is irreducible
Answer:
B) (4x+3)(16x²-12x+9)
What is 8/13? I am using a calculator and My form still says that it's wrong.
Simplify: |15 − 12|4 − ∣∣−21 + 98∣∣
Step-by-step explanation:
[tex] = \frac{ |15 - 12| }{4} - | \frac{ - 21 + 9}{8} | [/tex]
[tex] = \frac{ |3| }{4} - \frac{ | - 12| }{ |8| } [/tex]
[tex] = \frac{3}{4} - \frac{12}{8} [/tex]
[tex] = \frac{3}{4} - \frac{6}{4} [/tex]
[tex] = - \frac{3}{4} [/tex]
Option → B
The simplified value of the Expression [tex]\(\left| \frac{(15 - 12)}{4} \right| \times \left| \frac{(-21 + 9)}{8} \right|\)[/tex] in fractional form is 9/8.
To simplify the expression: [tex]\(\left| \frac{(15 - 12)}{4} \right| \times \left| \frac{(-21 + 9)}{8} \right|\)[/tex]
Step 1: Perform the calculations inside the absolute value signs:
[tex]\(\left| \frac{3}{4} \right| \times \left| \frac{-12}{8} \right|\)[/tex]
Step 2: Simplify the fractions inside the absolute value signs:
[tex]\(\left| \dfrac{3}{4} \right| \times \left| \dfrac{-3}{2} \right|\)[/tex]
Step 3: Evaluate the absolute values of the fractions:
[tex]\(\left| \dfrac{3}{4} \right| = \dfrac{3}{4}\)[/tex]
This is because the absolute value of any positive number is itself
[tex]\(\left| \dfrac{-3}{2} \right| = \dfrac{3}{2}[/tex]
and, the absolute value of a negative number is the positive version of that number.
Step 4: Multiply the absolute values:
= 3/4 x 3/2
Step 5: Multiply the fractions:
= 9/8
So, the simplified expression is 9/8.
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how many anwsers do you have to miss to master in a math test
Answer:
It depends
Step-by-step explanation:
It depends on how many problems are in the test. If the test has a standard amount of ten questions, you can only miss one question if you want to get a solid 90%. If the test has twenty questions, you can miss two to get that 90%.
If you're going for an 80% (or B), you can miss two on a ten-question test and four on a twenty-question test.
Again, it all depends on the number of questions and what percentage you want to get on the test.
Solve each quadratic inequality then test their interval of the inequality.
1. x² - x - 20 > 0
2. x² - 2x - 11 < 0
3. x²+ 9x + 14 > 0
4. r² - 10r + 16 > 0
Answer:
Step-by-step explanation:
1) x² -x - 20 > 0
x² - 5x + 4x - 20 > 0
x( x - 5) + 4(x - 5) > 0
(x - 5)(x + 4) > 0
x - 5 > 0 ; x + 4> 0
x > 5 ; x < -4
3) x² + 9x + 14 > 0
x² + 7x + 2x + 14 > 0
x(x + 7) + 2(x + 7) > 0
(x + 7) (x + 2) > 0
x < - 7 and x > -2
4) r² - 10r + 16 > 0
r² - 8r -2r + 16 > 0
r(r - 8) - 2(r - 8) > 0
(r - 8)(r - 2) > 0
r < 2 ; r > 8
Kate can go home from work by either train, bus or by car. The probability that she will go home by train is 0.4 and by bus is 0.3. What is the probability that she will go home by car?
Step-by-step explanation:
0.4+0.3=0.7
3-0.7
=2.3%
mark me brainliest pls!!
Amy will rent a car for the weekend. She can choose one of two plans. The first plan has no initial fee but costs $0.90 per mile driven. The second plan has an initial fee of $75 and costs an additional $0.80 per mile driven. How many miles would Amy need to drive for the two plans to cost the same?
Answer:
Our two formulas for each plan:
50 (base fee) + .80x (cost per mile) = y (total cost)
.90x (cost per mile) = y (total cost)
We want to find how many miles we have to drive, so solve for x. We're going to plug in y (from equation 2) into the value for y. This is the substitution method.
50+.80x=y
Plugin: 50+.80x = .90x
Add .90x to each side, subtract 50 from each side: .80x -.90x = -50
Simplify: -.10x = -50
Divide: x = -50/-.10 (two negatives make a positive)
x = 500
So this tells us that she has to drive 500 miles to make the plans equal. Let's verify this by plugging in the value we found for x.
499 miles, plan 2 is cheaper.
50 + .80(499) = 449.20
.90(499) = 449.1
500 miles, they are equal
50 + .80(500) = 450
.90(500) = 450
501 miles, plan 1 is cheaper
50 + .80(501) = 450.8
.90(501) = 450.9
Not my work.
Answer:
750mi
Step-by-step explanation:
x = how many miles
75+0.8x=0.9x
Move all terms containing x to the left side of the equation.
75−0.1x=0
Subtract 75 from both sides of the equation.
−0.1x=−75
Divide each term in −0.1x=−75 by −0.1 and simplify.
x=750
Find the next term in the geometric sequence if the first term is 8 and the common ratio = 2.
Answer:
16
Step-by-step explanation:
If you start with 8 and the common ratio is 2, all you would do is 8*2 which is 16. Hope this helps!!
Question
688 + 7888 + 688 - 688 =
Answer:
8,576
Step-by-step explanation:
Add first.
688 + 7888 + 688 - 688
9264 - 688
= 8576
688 + 7.888 + 688 - 688 = ?
= 688 + 7.888 + 0
= 688 + 7.888
= 8.576✔
17. Which is written in scientific notation correctly?
A
-44.4 x 102
B
4
-0.4 x 10-2
4 x 10-2
D
0.44 X 102
Answer:
Step-by-step explanation:
What is the value of x?
(Not multiple choice)
Answer:
x= 82°
Step-by-step explanation:
According to the angle sum property, sum of all angle in a triangle is 180°
45°+53°+x= 180°
98°+x= 180°
x= 180-98
x= 82°
HELPPPP MEEE PLSSSS IM BEGGING SOMEONEEE
Answer:
yes
Step-by-step explanation:
yes
19 < -3(b+8)+1 solve for b
Answer:
b = -14
Step-by-step explanation:
In the diagram below, AB is parallel to CD. What is the value of x?
Answer:
1
Step-by-step explanation:
Question : The expression tan 50 - tan 20/ 1+ tan 50 tan 20 is equal to
Answers: Pick one
tan30
tan70
tan100
Answer:
47.15 if it needs to be rounded to the nearest tenth it would be 47.2
Step-by-step explanation:
I hope this helps
The value of the expression is tan 30.
Option A is the correct answer.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
We know that,
tan (x - y) = (tan x - tan y) / (1 + tanx tany)
So,
(tan 50 - tan 20)/(1 + tan 50 tan 20)
This can be written as,
= tan (50 - 20)
= tan 30
Thus,
The expression value is tan 30.
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