Answer:
0 < cc + dd ≤ 11
Step-by-step explanation:
≤ means equal to or less than.
It has to be more than zero, obviously.
Answer:
c+d≤11
Step-by-step explanation:
welcome
3(x – 2) = 3x + 4 solve for X
Answer:
The answer is: Use a calculator.
Step-by-step explanation
With the calculator you are able to do ANY problem.
Answer: There is no solution.
Step-by-step explanation:
Simplify both sides of the equation
subtract 3x from both sides
add 6 to both sides
0=10
The answer is - there are no solutions
The weekly revenue for a product is given by R(x) = 324x - 0.0495x?, and the weekly cost is C(x) = 8000 + 162x - 0.099x2 + 0.00003x”, where x is the number of units
produced and sold
(a) How many units will give the maximum profit?
(b) What is the maximum possible profit?
(a) The number of units that will give the maximum profit is
(Round to the nearest whole number as needed.)
Answer:
(a) The number of units that will give the maximum profit is 2,000 units.
(b) The maximum possible profit is $274,000.
Step-by-step explanation:
(a) How many units will give the maximum profit?
From the attached photo in the question, we are given;
R(x) = 324x - 0.0495x^2 ………………....................................……….. (1)
C(x) = 8000 + 162x - 0.099x^2 + 0.00003x^3 …………………….. (2)
In economics, profit function, P(x), is obtained as follows:
P(x) = R(x) - C(x) ………………………. (3)
Substituting the equations (1) and (2) for R(x) and C(x) respectively into equation (3) and then simplify, we have:
P = 324x - 0.0495x^2 - (8000 + 162x - 0.099x^2 + 0.00003x^3)
P = 324x - 0.0495x^2 - 8000 - 162x + 0.099x^2 - 0.00003x^3
P = -8000 + 162x + 0.0495x^2 - 0.00003x^3 ………………….. (4)
Taking a derivative of equation (4) with respect to x and equating to 0, we have:
162 + 0.099x - 0.00009x^2 = 0 .................... (5)
Using the almighty formula as follows:
x = (-b +/- (b^2 - 4ac)^0.5) / 2a ………………. (6)
Where, from equation (5);
a = - 0.00009
b = 0.099
c = 162
Substituting the values into equation (6), we have:
x = (-0.099 +/- (0.099^2 - (4 * (- 0.00009) * 162))^0.5) / (2 * - 0.00009)
x = (-0.099 +/- 0.261) / -0.00018
x = (-0.099 + 0.261) / -0.00018, or x = (-0.099 - 0.261) / -0.00018
x = -900, or x = 2000
Since negative number does not have economic value in economics, the number of units that will give the maximum profit is therefore 2,000 units.
(b) What is the maximum possible profit?
From part a, x = 2000
Substituting x = 2000 into equation (4) and then solve, we have:
P(x) = -8000 + (162 * 2000) + (0.0495 * 2000^2) - (0.00003 * 2000^3)
P(x) = 274,000
Therefore, the maximum possible profit is $274,000.
find the length of side x in simplest radical denominator
Answer:
324352
Step-by-step explanation:
6-2d=42
What is D please help me find what it is
Answer: -18
Step-by-step explanation:
if 6-2d=42
just subtract 6 from both sides
-2d=42-6
-2d=36 now divide by 2
-d=18
multiply by -1
d=-18
Answer: d=-18
Step-by-step explanation:
6-2d=42
First subtract 6 from both sides
-2d=36
Now divide both sides by -2 to get d alone
d=-18
The coordinates of the vertices of △JKL are J(1, 4) , K(6, 4) , and L(1, 1) .
The coordinates of the vertices of △J′K′L′ are J′(0, −4) , K′(−5, −4) , and L′(0, −1) .
What is the sequence of transformations that maps △JKL to △J′K′L′ ?
reflection across the x-axis
rotation of 180° about the origin
rotation of 90° counterclockwise about the origin
translation 1 unit left
A sequence of transformations that maps △JKL to △J′K′L′ is a _________ followed by a ___________?
Answer:
The sequence of transformations are;
A translation by 1 unit left, followed by a reflection across the x-axis
Step-by-step explanation:
Here, we want to know the transformation sequence
Let us select one point
J(1,4)
to J’(0,-4)
To translate 1 unit right means that we are subtracting the value of 1 from the x-coordinate
That leaves us with (0,4)
To get the change in the y-coordinate value to negative, it means that we have reflected over the x-axis
x-axis reflection turns (x,y) to (x,-y)
So, the sequence of transformations that maps the two is;
A translation by 1 unit left followed by a reflection across the x-axis
Answer:
translation 1 unit left, then 180 degrees
Step-by-step explanation:
J (1,4)
K (6,4)
L (1,1)
Moving it 1 unit left, x unit - 1
J (0,4)
K (5,4)
L (0,1)
Now, rotate it 180 degrees, (x,y) = (-x,-y)
J' (0,-4)
K' (-5,-4)
L' (0,-1).
Hence, the triangle JKL is transformed into triangle J'K'L' when a triangle JKL translates 1 unit to the left and then rotate 180 degrees about the origin.
HELP QUICKLY PLEASE Which of these is used to find the estimated age range of a fossil?
Absolute dating
Half-life
Index fossils
Radioactive dating
Answer:
Step-by-step explanation:
Radioactive dating becouse they look how long the fossils were there
Convert 0.45 to a percent. Remember to add the percent sign.
0.45%
4.5%
45%
50%
Answer:
45%
Step-by-step explanation:
Please need help on this one
Answer:
ΔEFD and ΔXYZ
1. The radius equals
units
2. The diameter equals
units
Answer:
radius = 4units
diameter = 8units
Step-by-step explanation:
The radius is the distance from the midpoint of a circle to any point on the side of the circle. In this case, the radius is, 4units. The diameter is twice the radius and is 8 units.
Plz help me with this???
Answer:
2/3+1/5=10/15+3/15=13/15
Step-by-step explanation:
Hope this helps!
Triangle ABE ~ Triangle CDE. Find the length of altitude for NE.
Find the volume of a right circular cone that has a height of 16.8 in and a base with a
radius of 4.7 in. Round your answer to the nearest tenth of a cubic inch.
Answer:
Volume of right circular cone is 388.43 in³
Step-by-step explanation:
Height of circular cone = 16.8 in
Radius of circular cone = 4.7 in
We need to find Volume of right circular cone
The formula used for calculating volume of a right circular cone is: [tex]Volume=\pi r^2\frac{h}{3}[/tex]
Putting values and finding volume
[tex]Volume=\pi r^2\frac{h}{3}\\Volume=3.14\times (4.7)^2 \times \frac{16.8}{3}\\Volume=3.14\times 22.09 \times 5.6\\Volume= 388.43 \:in^3[/tex]
So, Volume of right circular cone is 388.43 in³
Dawn bought 3 video games and 9 DVDs for $75. Jerry bought
5 video games and 10 DVDs for $25 more than Dawn. How
much did each DVD cost?
Answer:
$5
Step-by-step explanation:
We can solve this using a system of linear equations. The equations are written like this:
3v + 9d = 75
5v + 10d = 100 (25 more than Dawn's total is 100)
V represents video games and d represents DVDs.
Let's isolate a variable, I'm going to isolate v in the first equation:
3v = -9d + 75
v = -3d + 25
Now that we isolated v we can plug it in to the second equation:
5(-3d + 25) + 10d = 100
-15d + 125 + 10d = 100
-5d + 125 = 100
-5d = -25
d = 5
Therefore, each DVD cost $5.
Check:
3v + 9(5) = 75
3v + 45 = 75
3v = 30
v = 10
5(10) + 10(5) = 100
50 + 50 = 100
100 = 100
I hope this helps!!
- Kay :)
4. Mrs. Dion decided to go out to dinner. She
spent $15.40 on her meal. She tipped the waiter
$4.25. How much did she pay all together?
Answer:
$19.65
Step-by-step explanation:
Adding decimals is the same as simple addition just line up the point in the numbers and add.
How is 0,2 an answer?
Answer:
it is an answer if you are using a coordinate plane
Step-by-step explanation:
I need help on this math question please fully answer the question i need help.
The graph represents the fees in thousands of dollars,
y, depending on the amount invested in millions, x,
with one financial investment firm.
Over what interval is the change constant?
[0,5)
(1,5)
[0, 20)
[1, 20)
If sin theta= 3/4and angle A is in Quadrant I, what is the exact value of tan 2theta in
simplest radical form?
Answer:
-6[tex]\sqrt{7}[/tex] /434
Step-by-step explanation:
A line passes through the point (8,-4) and has a slope of -3/4
Write an equation in slope intercept form for this line.
Answer: y=-3/4x+2
Step-by-step explanation:
y=mx+b
y=-3/4x+b
-4=-3/4(8) +b
-4=-6+b
b=2
y=-3/4x+b
y=-3/4x+2
Help please I’ll give brainliest!
Jessica runs 4 miles every 32 minutes. At thisrates, how many miles does she run in 48 minutes
Which shape is similar to shape x?
Answer:
the c oneStep-by-step explanation:
hope it will helpAnswer:
Step-by-step explanation:
Probably C but I sure wouldn't bet the farm on it. It looks like C is about 1.5 times the size of X
Alison wants to construct the perpendicular bisector of MN⎯⎯⎯⎯⎯⎯.
What should Alison do for her first step?
Place the point of the compass on point M and draw an arc, using a width for the opening of the compass that is greater than 12MN.
Use the straightedge to draw a line that intersects MN⎯⎯⎯⎯⎯⎯ at a point between M and N.
Place the point of the compass on point M and draw an arc, using a width for the opening of the compass that is equal to 12MN .
Place the point of the compass on point M and draw an arc, using a width for the opening of the compass that is less than 12MN
Answer:
What should Alison do for her first step ? She should learn to intersect the bisector of the intersector of mn such that mn should be the intersection of mn to nm so that no 2 intersections should intersect each other's bisector of mn to intersect of mn.
Step-by-step explanation:
Answer:
I should add that Alison is a very smart girl if she wants to construct such a perpendiculiar bisector of MN--. I am realy gratefull for such a kind and wise little smart girl.
Step-by-step explanation:
BD bisects angle ABC. Solve for x and find m angle ABC.
m angle ABD = 6x-8, m angle CBD = 3x + 4
Answer:
The value of x = 4
so
m ∠ABD = 6x-8 = 6(4)-8 = 24-8 = 16m∠CBD = 3x+4 = 3(4)+4 = 12+4 = 16Step-by-step explanation:
We know that an angle bisector bisects the angle into two equivalent angles.
When BD bisects angle ABC, it forms two equivalent angles which are:
m∠ABDm∠CBDsuch as
m∠ABD = m∠CBD
as
m ∠ABD = 6x-8
m∠CBD = 3x+4
so the equation becomes
m∠ABD = m∠CBD
6x-8 = 3x+4
6x - 3x = 4 + 8
3x = 12
Divide both sides by 3
x = 4
Thus, the value of x = 4
so
m ∠ABD = 6x-8 = 6(4)-8 = 24-8 = 16m∠CBD = 3x+4 = 3(4)+4 = 12+4 = 16Of the following sets, which represents a function?
Situation A = {student's name, all the colors that the student likes}
Situation B = {student's name, names of all of the student's teachers}
Answer:
what
Step-by-step explanation:
Write the equation in slope-intercept form of the line that passes through the points (5,4) and (1−6,)
Answer:
y = 5/2x - 17/2
Step-by-step explanation:
First, find the slope of the equation by using the slope formula:
m = (y2 - y1) / (x2 - x1)
m = (-6 - 4) / (1 - 5)
m = 10/4
m = 5/2
Next, find the y-int by plugging in one of the two points into the equation we have so far:
y = 5/2x + b
(5, 2)
4 = 5/2(5) + b
4 = 25/2 + b
4 - 25/2 = b
b = -17/2
Now you have your final equation:
y = 5/2x - 17/2
Answer:
[tex]y=\frac{5}{2}x-\frac{17}{2}[/tex]
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
Points: (5, 4), (1, -6)
Slope (Calculated): [tex]\frac{5}{2}[/tex]
[tex]y = \frac{5}{2}x+b[/tex]
[tex]-6 = \frac{5}{2}(1)+b[/tex]
[tex]b=-\frac{17}{2}[/tex]
[tex]y=\frac{5}{2}x-\frac{17}{2}[/tex]
PLS HELP ASAP
Simplify 8 − (14). (1 point)
Question 5 options:
1)
−22
2)
−6
3)
6
4)
22
There are 3 cups of blue paint and 2 cups of red paint. Whats the ratio?
Answer:
3:2
Step-by-step explanation:
can also be written as 3/2 as a fraction!
Answer:
Blue paint to red paint - 3:2
Red paint to blue paint 2:3
Step-by-step explanation:
For every 3 cups of blue paint there is 2 cups of red paint
For every 2 cups of red paint there is 3 cups of blue paint
Fraction Mode: 3/2 or 2/3
Solve the system, enter as an ordered triple. Need HELP!!
This means x = 2, y = 3 and z = 1
========================================================
Work Shown:
Double everything in the second equation to get 4x-2y+4z=6
Add this result to the first equation
[tex]x+2y-4z = 4\\4x-2y+4z = 6\\5x+0y+0z = 10[/tex]
The first two lines of that expression above shows us adding x+2y-4z=4 to the equation 4x-2y+4z = 6
The x terms add to x+4x = 5x
The y terms add to 2y+(-2y) = 0y
The z terms add to -4z+4z = 0z
The terms on the right hand side add to 4+6 = 10
That's how we end up with the new equation 5x+0y+0z = 10
That becomes 5x = 10 which solves to x = 2 when we divide both sides by 5.
------------------------
Use this x value in the third original equation to find z
3x-8z = -2
3(2)-8z = -2
6-8z = -2
-8z = -2-6
-8z = -8
z = -8/(-8)
z = 1
------------------------
Use the x and z values we found to find y
x+2y-4z = 4
2+2y-4(1) = 4
2+2y-4 = 4
2y-2 = 4
2y = 4+2
2y = 6
y = 6/2
y = 3
----------------------
Overall we get the solutions to be x = 2, y = 3 and z = 1
We can say the solution as an ordered triple is (x,y,z) = (2,3,1)
Please help I dont understand..
Answer:
2. A
3. H
4. D
5. C
6. G
7. E
8. F