Answer:
B) 5,900 pounds
Step-by-step explanation:
1,900 pounds + 2 tons = 5,900
An employee earns $480 per week. They are entitled to 4% vacation pay. How much vacation pay should they receive per week?
Answer:
480 * 0.04 = 19.2
$19.20
Arrange the following numbers in descending order: 50,101 501,100 51,150 500,101
Answer:
Step-by-step explanation:
Hope it helps,view the image:
A company makes a profit of $y (in thousand dollars) when it produces x computers,
where y is given by the formula y = a(x - 100)(x - 200) for x 20 If 120
computers are produced, the profit will be $3,200,000.
a) Find the value of a.
b) What is the maximum profit the company can make? At this profit, how many
computers should be produced?
c) If the company targets to make at least $4,800,000, what is the range of the
number of computers to be produced?
The solutions to the questions if y is represented by the formula y = a(x - 100)(x - 200) are:
a) The value of a = -2000
b) The maximum profit the company can make = $5,000,000
To make maximum profit, 150 computers must be produced
c) The company must produce between 140 and 160 computers to make at least $4,800,000
The equation representing the company's profit is:
y = a(x - 100)(x - 200) for x > 20
If 120 computers are produced, the profit will be $3,200,000
That is, y = 3,200,000 if x = 120
a) Find the value of a
3,200,000 = a(120 - 100)(120 - 200)
3200000 = -16000a
a = -3200000/1600
a = -2000
b) Maximum profit the company can make
The equation becomes:
y = -2000(x - 100)(x - 200)
y = -2000(x² - 200x - 100x + 20000)
y = -2000(x² - 300x + 20000)
y = -2000x² + 600000x - 40000000
dy/dx = -4000x + 600000
dy/dx = 0 at maximum value
-4000x + 600000 = 0
4000x = 600000
x = 600000/4000
x = 150
To make maximum profit, 150 computers must be produced
Substitute x = 150 into y = -2000x² + 600000x - 40000000 to find the maximum profit
y = -2000(150²) + 600000(150) - 40000000
y = 5000000
The maximum profit the company can make = $5,000,000
c) Calculate the range of the number of computers to be produced If the company targets to make at least $4,800,000
-2000x² + 600000x - 40000000 ≥ 4800000
-2000x² + 600000x - 40000000 - 4800000 ≥ 0
-2000x² + 600000x - 44800000 ≥ 0
Divide through by -2000
x² - 300x +22400 ≤ 0
(x - 140)(x - 160) ≤ 0
140 ≤ x ≤ 160
The company must produce between 140 and 160 computers to make at least $4,800,000
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Solve 8T 1398lb 14oz * 6
this is soo funny
haha thanks for the points
72 boxes sold out of 90 boxes what percent sold
Answer:
80%
Step-by-step explanation:
Answer:
80%
Step-by-step explanation:
90 boxes = 100%
72 boxes = ?
=> (72 * 100)/ 90 = 80%
A suspension bridge with weight uniformly distributed along its length has twin towers that extend 55 meters above the road surface and are 1200 meters apart. The
cables are parabolic in shape and are suspended from the tops of the towers. The cables touch the road surface at the center of the bridge. Find the height of the
cables at a point 300 meters from the center. (Assume that the road is level.)
The height of the cables is meters.
(Simplify your answer.)
Answer:
try kopo
Step-by-step explanation:
55+1200+300=1555
Answer:
Step-by-step explanation:
start by graphing it (see picture)
formula for a parabola: y=ax²
using the coordinates (600,55) we get
55=a*600²
a=55/(600²)
so now it's just a matter of plugging in 300 for x
(55/600²)*300²= 13.75
Can someone tell me what the evaluated answer is?
Answer:
16) 7⁻²
17) -1⁻²
Step-by-step explanation:
plug in the x=, y=, and n= into the equation.
HELPPP PLZ PLZ PLZ 15 BRANULASR When x is decreased by 129 and then that number is multiplied by 129 , the result is 129. What is the value of x?
Answer:
130
Step-by-step explanation:
(x - 129) * 129 = 129
x - 129 = 129/129
x - 129 = 1
x = 129 + 1
x = 130
Answer:
x could equal 130 but I'm not sure about this one
Step-by-step explanation:
you take 130-129 which equal 1 then times 1 by 129 and it equals 129... again sorry if it's not right because I'm not entirely sure how to do this I'm pretty sure I did it correct though
If p - 5q = 4qr,
p
find the value of p when
q = 4 and r = -1.
Answer:
p - 5q = 4qr where
q = 4 and r = -1 by applying these value
p - 5(4) = 4(4)(-1)
p - 20 = -16
p = -16 + 20
p = 4
epic gamer question i'll mark brainliest
Answer:
I think it is parallel
Step-by-step explanation:
Question 10 of 10
Which of the following is the solution to the inequality below?
-2/6(4-x)<4(x+1/2
Answer:
x > -11/10
Step-by-step explanation:
-2/6(4-x) < 4(x+1/2)
-1/3(4-x) < 4x + 2
-4/3 + 1/3x < 4x + 2
-4 +x < 12x + 6
x - 12 x < 6 + 4
-11x < 10
x > -11/10
Cheryl is planning to spend $75 on a Christmas gift for her father. He needs new socks and ties. A store has socks s and ties t on sale for $4 and $11, respectively. Which equation models this situation?
Answer:
4s + 11t = 75
Step-by-step explanation:
Assuming you are asking for an equation to find how many socks and ties Cheryl could get with $75, then the equation 4s + 11t = 75 would represent that.
s is the number of socks that are bought (assuming s = 1 means that 1 pair of socks is bought).
t is the number of ties that are bought.
4s represents the total cost of the socks that are bought (if you plug in 4 for s, then the total cost of the socks is 4(4) = 16+
11t represents the total cost of the ties that are bought
Give the coordinates and quadrant of Point Z.
Number graph ranging from negative ten to ten on the x and y axes. Point C is drawn at (negative four, five), point D is drawn at (negative nine, nine), point E is drawn at (five, zero), point I is drawn at (zero, nine), point J is drawn at (negative nine, zero), point L is drawn at (nine, negative nine), point P is drawn at (zero, negative nine), point X is drawn at (zero, five) and point Z is drawn at (nine, ten).
(9, 10) Quadrant II
(10, 9) Quadrant I
(9, 10) Quadrant I
(10, 9) Quadrant II
The coordinates and quadrant of Point Z is (9, 10) Quadrant I.
Which four quadrants of graph?The X and Y axes divide the graph plane into four quadrants:
The first quarter is at the upper right corner of the plane. In this quadrant, the x and y coordinates are both positive. The second quadrant is situated in the top left corner of the plane. In this quadrant, the x-coordinate is negative while the y-coordinate is positive. The third quarter lies at the lower left-hand corner of the plane. In this quadrant, the x and y coordinates are both negative. The fourth quarter is at the lower right corner of the aircraft. In this quadrant, the x-coordinate is positive while the y-coordinate is negative.Given:
Coordinates:
C( -4, 5), D(-9, 9), E(5, 0), I(0, 9), J(-9, 0), L(9, -9), P(0, -9), X(0, 5) and
Z(9, 10).
As, we know The upper right corner of the plane is where the first quarter is located. The x and y coordinates in this quadrant are both positive.
Hence, Z lies in Quadrant !.
Learn more about graph quadrant here:
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PLEASE HELP DUE NOW!!!
WILL MARK BRAINLIEST!!!!
Answer:
In point form, the answer is (1, -7) and in equation form, x = 1, y = -7.
Step-by-step explanation:
I hope this helps!
HIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII
Answer:
HIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII
Solve 2/v + 1/w = 1/2 for v
Answer:
v=(-4w)/(-w+2)
Find the difference (10j-7)-(-9j+2)
Answer:
19j-9
HOPE THIS HELPS
- Todo ❤️
Step-by-step explanation:
10+9=19j
-7-2=9
These triangles
are congruent by
the triangle
congruence
postulate [? ].
A. ASA
B. Neither, they are not congruent
C. AAS
Since in the two triangles,
2 angles and the side between them is given and equal, the triangles are congruent using the Criteria ASA.
Option A is the correct answer.
four and three sevents plus six and one fith.
Line ℓ has equation y=5. Find the distance between ℓ and the point Q(0,1).
Answer:
Distance = 4
Step-by-step explanation:
Given the linear equation of line ℓ, y = 5 which is a horizontal line in which its slope, m = 0 (zero slope), and each of the x-coordinates along the line have the same y-coordinate of y = 5.
In order to determine the distance of the horizontal line from the given point Q, (0, 1), use the following distance formula:
[tex]d = \sqrt{(x_2 - x_1)^{2} + (y_2 - y_1)^{2}}[/tex]
Choose any x-coordinate to pair with the y-coordinate, y = 5. Let's use the y-intercept, (0, 5).
Let (x₁, y₁) = (0, 1)
(x₂, y₂) = (0, 5)
Substitute these values into the distance formula:
[tex]d = \sqrt{(x_2 - x_1)^{2} + (y_2 - y_1)^{2}}[/tex]
[tex]d = \sqrt{(0 - 0)^{2} + (5 - 1)^{2}}[/tex]
[tex]d = \sqrt{(4)^{2}}[/tex]
[tex]d = \sqrt{16}[/tex]
d = 4
Therefore, the distance of line ℓ from point Q is 4.
A toy factory makes toys that are sold for $10 a piece. The factory has 40 workers, and they each produce 25 toys per day. The factory is open 5 days a week. What is the total value of toys the factory produces in a day?
Answer:
The total value of toys the factory produces in a day is $10,000.
Step-by-step explanation:
One Toy = $10
Workers = 40
Toys Made By Each Worker Per Day = 25
The factory makes 1,000 toys per day and 5,000 toys per week. Each toy has a value of $10 so the value of toys in one day would add up to $10,000. The toy factory would also make $50,000 a week.
Tim has 2/3 cup of chocolate syrup. If he uses 1/9 cup of chocolate syrup for each serving of chocolate milk, how many servings of chocolate milk can he make
Answer:
6 servings
Step-by-step explanation:
Each serving Tim uses 1/9 cup. So, after using the amount of syrup reduces and repeated subtraction is division.
[tex]\frac{2}{3}[/tex] ÷ [tex]\frac{1}{9}[/tex]
[tex]=\dfrac{2}{3}*\dfrac{9}{1}[/tex]
= 2 *3
= 6
express 1 000 000 in standard form
Answer:
10^6.
Step-by-step explanation:
There are 6 digits after the 1 so it's 1 * 10^6 or just 10^6.
(–5, 2) and (3, r) has slope of 1/2
Answer:
value of r is 6
Step-by-step explanation:
Given that the slope is 1/2
So we can set up the linear equation like this:
y= 1/2x + b
Since it also goes through (-5, 2)
plug in:
[tex]2 = \dfrac12*-5 + b\\b=2 +2.5 = 4.5\\y = \dfrac12x +4.5[/tex]
Then we plug in x=3 to find out the value of r
[tex]r = \dfrac12*3+4.5=1.5+4.5=6[/tex]
x=4y-7
2x+9y=-31
What be the answer
Answer:
x=-11
y=-1
Step-by-step explanation:
x=4y-7
2x+9y=-31
2(4y-7)+9y=-31
8y-14+9y=-31
17=-31+14
17y=-17
y=-1
x=4(-1)-7
x=-11
Answer:
x = -11, y = -1
Step-by-step explanation:
solving simultaneously,
2(4y-7) + 9y = -31
17y = 14 - 31
17y = -17
y = -1
back sub, we get:
x = 4(-1)-7
x = -11
so x = -11, y = -1
A bike take 56 minutes to travel 8 km? How many minutes will take to travel 15?
Answer:
1 hour 45 mins
Step-by-step explanation:
56÷8=7
7x15=105mins
105mins=1hr 45mins
Mr. Solomon, the art teacher, has 49.6 pounds of clay. If he gives every student 1.6 pounds of clay and has none left, how many students are in his class?
Answer:
He has 31 students
Step-by-step explanation:
You know this because 49.6 ÷ 1.6 = 31
If a course starts September 2022,and last for three years, what year would it end.
Answer:
im pretty sure its 2025
Answer:
2025
Step-by-step explanation:
From first principles, find the indicated derivatives
By definition of the derivative,
[tex]\displaystyle\frac{dr}{ds} = \lim_{h\to0} \frac{\left(\frac{(s + h)^3}2 + 1\right) - \left(\frac{s^3}2 + 1\right)}{h}[/tex]
[tex]\displaystyle\frac{dr}{ds} = \lim_{h\to0} \frac{\left(\frac{s^3+3s^2h+3sh^2+h^3}2 + 1\right) - \left(\frac{s^3}2 + 1\right)}{h}[/tex]
[tex]\displaystyle\frac{dr}{ds} = \lim_{h\to0} \frac{\frac{3s^2h+3sh^2+h^3}2}{h}[/tex]
[tex]\displaystyle\frac{dr}{ds} = \lim_{h\to0} \frac12 \frac{3s^2h+3sh^2+h^3}{h}[/tex]
[tex]\displaystyle\frac{dr}{ds} = \lim_{h\to0} \frac12 (3s^2+3sh+h^2)[/tex]
[tex]\displaystyle\frac{dr}{ds} = \frac{3s^2}2[/tex]
in which country has involved in world war
Answer:
The following countries were involved in the world warGermany
Austria-Hungary
Bulgaria
Ottoman Empire (the Central Powers)
These countries fought againstGreat Britain
France
Russia
Italy
Romania
Japan
United States (the Allied Powers).
