Answer: D
Step-by-step explanation:
2x + (2x +4 ) =40
x= 9
2(9) +4 =22
Simplify (-2x^3)2•y•y^9
Simplify (-2x^3)^2 •y•y^9 Answer 4x^6y^10
A firm produces two types of earphones per year: x thousand of type A and y thousand of type B. The cost function (in thousands of dollars) is given by
C(x,y)=110+80x+130y
If the selling price of type A is p and the selling price of type B is q, the price-demand equations are
p=120-3x+y
q=210+x-7y
Determine how many of each type of earphone should be produced per year to maximize profit? What should be the selling prices p and q? What is the maximum profit?
Answer:
9000 A and 7000 B should be producedp = 100, q = 170$350,000 is the maximum profitStep-by-step explanation:
We assume that "p" and "q" are given in dollars, so that the profit function (in thousands of dollars) can be written:
P = xp +yq -C(x, y)
Profit will be maximized when the partial derivatives of P with respect to x and y are both zero:
∂P/∂x = p +x(∂p/∂x) +y(∂q/∂x) -∂C/∂x = 0
(120 -3x +y) +x(-3) +y(1) -80 = 0
-6x +2y +40 = 0
3x -y = 20 . . . . put in standard form
and ...
∂P/∂y = x(∂p/∂y) +q +y(∂q/∂y) -∂C/∂y = 0
x(1) +(210 +x -7y) +y(-7) -(130) = 0
2x -14y +80 = 0
x -7y = -40 . . . . put in standard form
__
The solution to these simultaneous equations can be found a variety of ways. Using Cramer's Rule, we have ...
x = ((-1)(-40) -(-7)(20))/(-1·1-(-7)(3)) = 180/20 = 9
y = (20(1) -(-40)(3))/20 = 140/20 = 7
9000 type A and 7000 type B earphones should be produced.
__
The corresponding selling prices are ...
p = 120 -3(9) +7 = 100
q = 210 +9 -7(7) = 170
The selling prices should be ...
p = $100, q = $170
__
The maximum profit is ...
P = xp +yq -C(x, y) = (9)(100) +(7)(170) -(110 +80(9) +130(7))
P = 9(100 -180) +7(170 -130) -110 = 180 +280 -110
P = 350
The maximum profit is $350,000.
you roll a cube find the probability of rolling an even number?
Answer: 1/2
Step-by-step explanation: Note that to roll an even number, we can roll a 2, 4, or 6.
So there are three ways to roll an even number.
Now let's use our ratio for the probability of an event.
P(event) = number of favorable outcomes/total number of outcomes
Since we want to find the probability of rolling a 3, the number of favorable outcomes for rolling a 3 will go on top in the ratio.
Also, remember that a number cube has six total outcomes.
So 6 will go in the bottom of our ratio
So the probability of rolling an even number is 3/6.
However, we can reduced 3/6 to 1/2.
Always reduce when finding probability.
So the probability or likelihood of rolling an even number is 1/2.
A certain manufacturing company has the following data on quantities shipped and unit costs for each of its four products.
Products
Base-Period
Quantities (Year 1)
Mean Shipping Cost
per Unit ($)
Year 1
Year 5
A
1,500
10.50
15.90
B
5,000
16.25
33.00
C
6,500
12.20
18.40
D
2,500
20.00
35.50
Use the price data to compute a Paasche index for the shipping cost if year 5 quantities are 4,000, 3,000, 8,000, and 3,000 for products A, B, C, and D, respectively. (Round your answer to the nearest integer.)
I5 =
Answer:
Paasche's Index= 168.63= 169
Step-by-step explanation:
Products
Base-Period Current Period
Quantities Mean Shipping Quantities Mean Shipping
(Year 1) Cost per Unit ($) (Year 5) Cost per Unit ($)
A 1,500 10.50 4000 15.90
B 5,000 16.25 3000 33.00
C 6,500 12.20 8000 18.40
D 2,500 20.00 3000 35.50
Paasche's Index= ∑ pn.qn/∑po.qn* 100
Where pn is the price of the current year and qn is the quantity of the current year and po. is the price of the base year and qo. is the quantity of the base year.
Paasche's Index is the percentage ratio of the aggregate of given period prices weighted by the quantities sold or consumed in the given period to the aggregate of the base period prices weighted by the given period quantities.
Multiplying the current year prices with the current year quantities and the base year price with the current year quantities we get.
Product pn.qn po.qn
A 15.90* 4000 10.50* 4000
= 63600 =42000
B 33.00*3000 16.25 * 3000
= 99000 = 48750
C 18.40* 8000 12.20 *8000
=147200 =97600
D 35.50* 3000 20.00*3000
=106500 60,000
∑ 416300 248350
Paasche's Index= ∑ pn.qn/∑po.qn= 416300/ 248350 *100 = 1.676=1.68= 168.63= 169
what is 10x + 45 >120
Answer:
[tex]0.75 \: \: \: \: or \: \frac{15}{2} [/tex]
Step-by-step explanation:
[tex]10x > 120 - 45 |collect \: like \: terms| \\ 10x > 75 |simplify \: | \\ \frac{10x}{10} > \frac{75}{10} |divide \: both \: side \: by \: 10 | \\ x > 0.75 \: or \: \frac{15}{2} [/tex]
Pls help me I give brainliest thank uu and can u do step by step
Answer:
A. 48,000
Step-by-step explanation:
60 x 20= 1200
1,200 x 40= 48,000
Plz mark brainliest .^.
Answer:
To find the volume you have to multiply all the number together in any order. The order doesn't matter.
Step-by-step explanation:
To find volume=
40*20= 800
then, 800*60= 48,000
since it's in cm and there are 3 numbers then it would be 48,000 cm cubed
5x + 8 = ______, when x = 4
Answer:
28
Step-by-step explanation:5 times 4 plus 8 is 28
Solve: 3x
+ 4 = 5x - 4x - 8
Answer:
3x = - 18
Step-by-step explanation:
1. Simplify this equation in terms of what is already provided:
3x + 4 = 5x - 4x - 8 ⇒ 3x + 4 = x - 8
2. Now subtract 3x from either side, at the same time adding 8 to either side: 3x + 4 = x - 8 ⇒ 4 = -2x - 8 ⇒ 12 = -2x
3. Divide -2 on either side to isolate the x, and recieve it's value:
12 = -2x ⇒ x = 12/-2 ⇒ x = -6
4. The question demads for the value of 3x, so simply multiply the known value of x by 3, as such: x = -6 ⇒ 3x = -6 * 3 = -18
What is the area of this parallelogram
Answer:
27
Step-by-step explanation:
The area of this parallelogram is its base times height. 6x4.5 is 27.
Hope this helps! (please mark me brainliest)
A angle has late of 5 and 2 cm write the possible third number
Answer:
Maybe
Step-by-step explanation:
8 possibly could be a number
Giving BRAINLIEST for correct awnser! Factor the expression below.
36a^2-25b^2
Which of the following binomials is a factor of the expression?
A. 4a +25b
B. 4a +5b
C. 6a + 5b
D. 6a + 25b
Answer:
C. 6a + 5b
Step-by-step explanation:
36a^2-25b^2
Rewriting as
(6a)^2 - (5b)^2
We know this is the difference of squares
(x^2 -y^2) = (x-y)(x+y)
(6a - 5b) (6a+5b)
Answer:
C. 6a + 5b
Step-by-step explanation:
36 is a perfect square, meaning it has two factors that are identical, being 6. 25 is also a perfect square, with its factors being 5, however, in this case, 25 is negative, so we need to have a positive 5 and a negative 5. This gives us:
(6a + 5b) (6a - 5b)
But, the answer choices only have (6a + 5b), so choice, "C," is the answer.
What is the mean of the probability distribution?
Answer:
2.0
Step-by-step explanation:
assuming this is from edge 2.0 is correct
Answer:
c
Step-by-step explanation:
Find an
angle 0 coterminal to 701°, where 0°
Answer:
341°-19°Step-by-step explanation:
Subtracting 360°, you get ...
701° -360° = 341°
Subtracting 360° again, you get ...
341° -360° = -19°
Angles 341° and -19° are coterminal with 701°.
_____
Additional comment
You can find additional angles by adding or subtracting multiples of 360°. We presume you require an angle in a specific range. Hopefully this gives you enough information to help you find the angle you're looking for.
I WILL GIVE BRAINLYIST IF CORRECT
A ladder that is 14 feet long is placed against a building. The bottom of the ladder is 6 feet from the base of the building.
A right triangle with side length 6 feet, hypotenuse 14 feet, and side h.
In feet, how high up the side of the building is the top of the ladder? Round to the nearest tenth of a foot.
Answer:
Perp≈12.6 ft
Step-by-step explanation:
Since this is a right angled triangle, so we'll use the formula
Hypotenuse ²=base²+ perp²
Where hyp=14 , base=6
14²=6²+perpendicular ²
196= 36 + perp²
Perp²=196-36
Perp ²= 160
Taking sq root on both sides
Perp=12.649
Perp≈12.6 ft
Answer:
The guy above me is right 12.6
Step-by-step explanation:
hope he gets brainlist
In the diagram below, point P is circumscribed about quadrilateral ABCD. What is the value of x? (Pls answer I give lot of point)
Answer:
D. 50
Step-by-step explanation:
130+x=180
x=50
Which of the following values of t will result in a true statement when substituted into the given equation? A. t = 8 B. t = -8 C. t = 11 D. t = -12
Answer:
B
Step-by-step explanation:
Answer:
The answer is B
Step-by-step explanation:
What is the volume of this rectangular prism?(HURRY)
Answer:
295.2
Step-by-step explanation:
Answer:295.2 cm^3
Step-by-step explanation:
Length=L=15cm
Width=w=4.1cm
Height=h=4.8cm
volume of rectangular prism=L x w x h
Volume=15x4.1x4.8
Volume=295.2 cm^3
(-3x + 15) + (-3x + 2)
Answer:
If you are looking for a simplified equation, then the answer is -6x + 17
Step-by-step explanation:
(-3x + 15) + (-3x + 2)
Because you are only adding and subtracting here, you can take out the parentheses.
-3x + 15 -3x + 2
= -6x + 17
7.5% of what is 7.38?
Answer:
What =98.4
Step-by-step explanation:
Of means multiply and is means equals
7.5% * What = 7.38
Change to decimal form
.075 * what = 7.38
Divide each side by .075
.075 What /.075 = 7.38/.075
What =98.4
Answer:
the answer for this question is 98.4
A sculpture sits on a pedestal in the shape of a square prism. The side lengths of a base of the prism are 3 feet. The height of the prism is 4 feet. The museum director wants to cover all but the underside of the pedestal with foil that costs $0.22 per square foot. How much will the foil cost?
Answer:
Total cost of covering the pedestal is $12.54.
Step-by-step explanation:
The pedestal is a square prism so top and bottom are of square shape.
Hence, we have here length = width
We know that the Total Surface Area of a Prism is:
[tex]\text{Total Surface Area = } 2 (l\times w+ w \times h+ h \times l)[/tex]
Where l is length,
w is width and
h is height of prism
We know that here w = l = 3 feet
and h = 4 feet
Also, underside of pedestal is not to be covered.
The underside of pedestal is square type.
So,
[tex]\text{Required Total Surface Area = } l\times w+ 2\times w \times h+2\times h \times l[/tex]
[tex]\Rightarrow 3 \times 3 + 2 \times 3 \times 4 + 2 \times 3 \times 4\\\Rightarrow 9 + 24 + 24\\\Rightarrow 57\ ft^{2}[/tex]
Cost of cover per square foot = $ 0.22
Total cost of [tex]57\ ft^{2}[/tex] [tex]\Rightarrow 0.22 \times 0.57 = \$12.54[/tex]
What is the 25th term of this arithmetic sequence?
{8, 5, 2,-1,-4, ...}
Type the correct answer in the box. Use numerals instead of words.
Answer:
Continue the pattern 24 more times by multiplying 24 terms with 3 subtracted per term
24x3=72
subtract 72 to find the term
8-72=-64
Should be -64 but we will still continue the pattern to double check
8,5,2,-1,-4,-7,-10,-13,-16,-19,-22,-25,-28,-31,-34,-37,-40,-43,-46,-49,-52,-55,-58,-61,-64
-64 is the 25th term
Hope this helps
Step-by-step explanation:
what is the measure of angle A?
Answer:
A = 77.32
Step-by-step explanation:
sin theta = opp/ hypotenuse
sin A = 80/82
sin A = 40/41
Take the inverse sin of each side
A = sin ^-1 (40/41)
A =77.31961651
To the nearest hundredth
A = 77.32
What are the Dursleys hoping will
happen this evening?
А
They will have a delicious
dinner.
B
They will impress the Masons.
C
They will run away to Spain.
They will start using magic.
Answer:
b
Step-by-step explanation:
Year
2006
2008
2010
2015
2018
Value ($)
450
418
255
385
300
1. Using linear regression, write an equation for the line of best
fit to represent the value of the card, y, in years since 2006, r.
Round to the nearest hundredth where necessary. Use your
equation to find the value of the card in 2030.
Answer:
is there a picture
Step-by-step explanation:
4. Kevin is using his scanner to make a smaller version of the school logo to put in the yearbook.
The original is 7 by 10 inches. The reduced image is 5.25 by 7.5 inches. What is the scale
factor of the dilation?
Math Accelerated . Chapter 11 Congruence Similarity and Transformations
How would I show my work?
Answer:
scale factor 2.5
Step-by-step explanation:
What is the area of a equilateral triangle with an apothem of 4.9 ft and side length of 17 ft
Answer:
16
Step-by-step explanation:
is the the associated
Part A - find the diameter of the circle?
Part B - Find the circumference of the circle ?
Answer:
A) 16 cm
B) 50.24 cm
Step-by-step explanation:
Part A:
The diameter is double the radius
The radius is half of the diameter
To work out the diameter you would simply multiply the radius of 8 cm by 2, this gives you 16 cm. This is because the radius is half of the length of the diameter.
1) Multiply 8 by 2.
[tex]8*2=16 cm[/tex]
Part B:
The formula for the circumference of a circle is : [tex]\pi *diameter[/tex]
To work out the Circumference you would multiply the diameter of 16 cm by pi, this gives you 50.24 cm. This is because if you were to substitute the value of the diameter into the formula you would get the same result.
1) Multiply pi by 16.
[tex]\pi*16=50.24[/tex]
Pi in this case is 3.14
solve the system of equations
Answer:
r=idk
y=idk
Step-by-step explanation:
2x2+3y=-2 solve for y
Answer:
y=(-2/3)x^2-(2/3)
Step-by-step explanation:
2x^2+3y=-2
3y=-2x^2-2
y=(-2/3)x^2-(2/3)
Answer:
y= -2
Step-by-step explanation:
2x2+3y=-2
4+3y=-2
Subtract 4 from both sides
3y=-6
Divide both sides by 3
y= -2
In my case, x means multiplied by not a variable.
HELP ME PLEASE , ALOT OF POINTS, CHECK DOCUMENT! Show work
Answer:
x=8
Step-by-step explanation:
log4( x-6) +log4(x) = 2
We know that loga + log b = log (ab)
log4( x-6)(x) = 2
Raise each side to the base of 4
4^log4( x-6)(x) = 4^2
( x-6)(x) = 16
Distribute
x^2 -6x = 16
Subtract 16 from each side
x^2 -6x-16 = 0
Factor
(x-8) (x+2) =0
Using the zero product property
x-8=0 x+2 =0
x=8 x=-2
Checking, we cannot have the log of a negative number so -2 is not a solution
Answer:
x = 8
Step-by-step explanation:
log4(x - 6) + log4(x) = 2
log4[(x - 6) × x] = 2
x² - 6x = 4²
x² - 6x - 16 = 0
x² - 8x + 2x - 16 = 0
x(x - 8) + 2(x - 8) = 0
(x + 2)(x - 8) = 0
x = 8, -2
Log of negative numbers do not exist, so x is only 8
