Answers
Answer:
The minimum cost of the X-ray machines is 12,197dollars.
Step-by-step explanation:
First, we check whether it’s a Quadratic Equation or not
The general form of the Quadratic equation [tex]f(x) =[/tex] [tex]ax^{2} + bx + c[/tex]
Let’s compare it with the given equation, we get
a = 1
b = -520
c = 79,79
Hence, it’s a quadratic equation.
Now, we will use the VERTEX FORMULA as we are asked to find the ‘minimum’ unit cost.
X = [tex]\frac{-b}\[2a[/tex] = [tex]\frac{-(-520)}\[2(1)[/tex] = [tex]260[/tex]
So , number of X-ray machines are = 260 (value of x)
To find the minimum unit cost, plug the value of x into the given equation, and we get
[tex]f(260) = (260)^{2} -520(260) + 79,797[/tex]
[tex]=12,197[/tex]
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Related Questions
Can someone please help me with this!!
Answers
Answer: -7
Step-by-step explanation:
[tex]f(-8)=-5\\\\g(4)=3\\\\\therefore -1 \cdot f(-8) -4\cdot g(4)=-1(-5)-4(3)=5-12=\boxed{-7}[/tex]
Solve the linear programming problem.
Maximize
P=40x + 50y
Subject to
2x+y ≤ 14
x+y ≤ 8
x + 2y ≤ 12
x, y 20
Answers
Answer:
x = y = 4
Step-by-step explanation:
A 2-variable linear programming problem is nicely solved by graphing. The solution will be one of the vertices of the solution set. The attached graph shows that means it is one of (x, y) = [(0, 0), (0, 6), (4, 4), (6, 2), (7, 0)}.
__
Evaluating the objective function at each of these vertices will show you the solution that maximizes it.
(0, 0) -- P = 40·0 +50·0 = 0
(0, 6) -- P = 40·0 +50·6 = 300
(4, 4) -- P = 40·4 +50·4 = 360
(6, 2) -- P = 40·6 +50·2 = 340
(7, 0) -- P = 40·7 +50·0 = 280
_____
Additional comment
The solution set would ordinarily be the area that is covered by the shading that signifies the solution set of each of the 5 inequalities. 5 different overlapping shadings can make the graph quite messy, so we have elected to shade the areas that are NOT part of the solution set. In doing so, we have made the boundary lines dashed when they are part of the solution set
The possible solutions are the vertices of the white space on the graph.
The black line on the graph is the line corresponding to the maximum value of the objective function. To maximize the objective function, we want that line as far from the origin as possible. It is shown intersecting the vertex of the solution space that meets that condition.
In one month, a farmer produces 300 pounds of corn. In the
following month he produces 35% more. How many pounds of corn
does he produce in the second month?
Answers
The pounds of corn in the second month is 390
How to determine the amount?We have:
First month, a = 300
Rate, r = 35%
The pounds of corn in the second month is calculated using:
Pound = a * (1 + r)
So, we have:
Pound = 300 * (1 + 30%)
Evaluate the sum
Pound = 300 * 1.3
Evaluate the product
Pound = 390
Hence, the pounds of corn in the second month is 390
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find the binomial expansion of (2+3x)^5 - (2 - 3x)^5
Answers
The binomial expansion of (2+3x)^5 - (2 - 3x)^5 is 480x + 2160x^3 + 486x^5
Concept: Binomial expansion is to expand and write the terms which are equal to the natural number exponent of the sum or difference of two terms.
For two terms x and y the binomial expansion to the power of n is (x + y)n = nC0 0 xn y0 + nC1 1 xn - 1 y1 + nC2 2 xn-2 y2 + nC3.
Binomial expansion of (2+3x)^5 =32+240x+720x^2+1080x^3+810x^4+243x^5
Binomial expansion of (2-3x)^5 = 32-240x+720x^2-1080x^3+810x^4-243x^5
Combining both the expansions,=32+240x+720x^2+1080x^3+810x^4+243x^5 - (32-240x+720x^2-1080x^3+810x^4-243x^5)
= 32+240x+720x^2+1080x^3+810x^4+243x^5 - 32+ 240x - 720x^2 +1080x^3 -810x^4 +243x^5
=480x + 2160x^3 + 486x^5
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Please help quick!!
Answers
Answer:
the answer will be similar, because if you divide 2, 3, 2.25 by 3 you will get the answer.
what is the constant proportionality in the equation y = 5/4x?
Answers
Simplify the polynomial
x+2y+1−(2x+y+5)
Help its assignment
Answers
Answer:
- x + y - 4
Step-by-step explanation:
Given polynomial:
[tex] \rm \: x+2y+1-(2x+y+5)[/tex]
Solution:
Removing parentheses,we obtain
[tex]x + 2y + 1 - 2x - y - 5[/tex]Collecting and combining like terms,we obtain
[tex]x - 2x + 2y - y + 1 - 5[/tex][tex] \boxed{ - x + y - 4}[/tex]Done!
A hole the size of a photograph is cut from a red piece
of paper to use in a picture frame.
3
What is the area of the piece of red paper after the hole
for the photograph has been cut?
O 17 square units
O 25 square units
O 39 square units
O 47 square units
Answers
Answer:
D)
Step-by-step explanation:
47 is the right answer! Have an cool day!
The area of the piece of red paper after the hole for the photograph has been cut is,
⇒ 47 square units.
What is mean by Rectangle?A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.
Now, First, find the area of the two squares:
The photograph have vertices:
(-3, -2), (-2, 2), (2, 1), and (1, -3).
Since, The square is diagonally aligned, so we need to find the length between two points in order to find the area.
For (1, -3) and (2, 1).
There is a 1 unit length and a 4 unit height.
We can use the Pythagorean theorem to find the hypotenuse of the triangle, which is the length of the square's side:
1² + 4² = x²
1 + 16 = x²
x = √17
The side length for the square of the photograph is the square root of 17,
so the area of the photograph is 17 units²
Now, The red paper has side lengths of 8. The distance between (-4, 4) and (4, 4) is 8 units wide, so we do not need to use the Pythagorean theorem.
Now , we know the area of the red paper and photograph, you can subtract the area to find the red paper with the hole:
64 - 17 = 47 square units.
Thus, The area of the piece of red paper after the hole for the photograph has been cut is,
⇒ 47 square units.
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The length of the base of a triangle is twice its height. If the area of the triangle is 16 square kilometers, find the height.
Answers
Answer:
4
Step-by-step explanation:
Area of a triangle = bh/2
B = 2h
16 = 2h × 2/2
h×2 = 16
2h = 16
* put a square root on both sides then u will get the answer which is
Height of the triangle = 4
how many ways are there to make $3 with pennies, nickels, and dimes
Answers
Answer:
10
Step-by-step explanation:
se the distributive property to remove the parentheses.
-(-3v-4w+1)
Answers
Hii!
[tex]\leadsto\parallel\boldsymbol{Answer.}\parallel\gets[/tex]
_________________________________________________________
3v+4w-1
__________________________________________________________
[tex]\leadsto\parallel\boldsymbol{Explanation.}\parallel\gets[/tex]
We use the distributive property to "distribute" the minus sign.
[tex]\sf -(-3v-4w+1)=-1\cdot(-3v)+(-1)\cdot(-4w)+(-1)\cdot1}[/tex].
Simplify!
[tex]\sf 3v+4w-1}[/tex]. Which is our final answer.
Hope that this helped! Best wishes.
[tex]\textsl{Reach far. Aim high. Dream big.}[/tex]
[tex]\boldsymbol{-Greetings!-}[/tex]
_________________________________________________________
Find a solution to the linear equation 11x−y=−11.Find a solution to the linear equation 11x−y=−11.
Answers
Answer:
(0,11)
Step-by-step explanation:
If we let x=0, then -y = -11, and so y=11.
Thus, (0,11) is a solution to the linear equation.
Need help with this geometry question
Answers
Answer: C
Step-by-step explanation:
[tex]50 < 5x-10\\\\60 < 5x\\\\x < 12[/tex]
However, the angle has to have positive measure, so:
[tex]5x-10 > 0\\ \\ 5x > 10\\\\x > 2\\\\\therefore \boxed{2 < x < 12}[/tex]
Solve x: 60 pts if u can figure it out and the first one gets brainiest answer
3x+99x=1188
Is this even possible to work out????
Answers
Answer:
11.65
Step-by-step explanation:
3x+99x=102x
1188/102=11.65
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{3x + 99x = 1,188}[/tex]
[tex]\large\textbf{COMBINE the LIKE TERMS}[/tex]
[tex]\mathsf{(3x + 99x) = 1,188}\\\mathsf{3x + 99x = 1,188}\\\mathsf{\bold{102x} = 1,188}[/tex]
[tex]\large\textbf{DIVIDE 102 to BOTH SIDES}[/tex]
[tex]\mathsf{\dfrac{102x}{102} = \dfrac{1,188}{102}}[/tex]
[tex]\large\textbf{SIMPLIFY IT!}[/tex]
[tex]\mathsf{x = \dfrac{1,188}{102}}[/tex]
[tex]\mathsf{x = 11.64705882}[/tex]
[tex]\large\textbf{AND IF YOU'RE ROUNDING}[/tex]
[tex]\mathsf{x \approx 12}[/tex]
[tex]\huge\text{Therefore, your answer should be: \boxed{\mathsf{x \approx 12}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]please help me.
Which quantity is multiplied by pi () in the formula for the area of a circle?
A. d
OB. 2
O c. d
D. r
Answers
Detailed Explanation:
The formula for calculating the Area of a Circle is πr^2 where π is being multiplied with r^2. Hence, the correct option is B.
About 10% of the population has a particular genetic mutation. 1000 people are randomly selected.
Find the mean for the number of people with the genetic mutation in such groups of 1000. Round your answer to two decimal places.
Answers
Answer:
The standard deviation for the number of people with the genetic mutation in such groups of 1000 is 9.49.
Step-by-step explanation:
Standard deviation: It is a measure of how spread out numbers are. It is the square root of the Variance, and the Variance is the average of the squared differences from the Mean.
The given parameters are:
Proportion, p = 10%
Sample size, n = 1000
The standard deviation is calculated as:
σ=[tex]\sqrt{np(1-p}[/tex]
So, we have:
σ=[tex]\sqrt{1000*10%*(1-10%)}[/tex]*(1-10%)
Evaluate:
σ= 9.49
Hence, the standard deviation for the number of people with the genetic mutation in such groups of 1000 is 9.49.
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what steps do you need to do to evaluate the following expression? Select two options. –5(–2) Drag 5 sets of –2 tiles to the window. Drag zero pairs to the window. Remove the 5 groups of –2 tiles. Remove 5 negative tiles from the window.
Answers
To solve the expression given , Drag zero pairs to the window and then Remove the 5 groups of –2 tiles , Option b and c is the right answer
What is an Integer Tile method ?It is a teaching method in which materialistic representation is done for concepts like addition and subtraction .
It is used for kids who find it difficult to understand adding a negative integer etc.
For the expression given
-5 (-2)
Drag zero pairs to the window and then Remove the 5 groups of –2 tiles.
Therefore Option B and C is the right answer.
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What is the domain of the function y=√√x+6-7?
x>|-7
x>|-6
x>|6
x>|7
Answers
The domain of the function [tex]y=\sqrt{(x+6)}-7[/tex] is given by (B) that is [tex]x \geq-6[/tex]
Domain of a function refers to the values or range of input values of a function for which the function exists in real.
In this problem the given function is
[tex]y=\sqrt{(x+6)}-7[/tex]
Now the above function exists if the expression under square root is greater or equal to 0, since negative number cannot be square rooted in real, that gives imaginary number.
So, for existence of function it is must to
[tex]x+6\geq0[/tex]
[tex]x\geq-6[/tex]
Hence the domain of the given function is given by [tex]x\geq-6[/tex]
Hence the correct option is (B).
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Which values of a, b, and c represent the answer in simplest form?
5 3
b
8 8
a=1, b=3, c = 2
a=1, b=40, c= 24
a=1, b=16, c = 24-
a=1,b=2, c=3
Answers
The value of a is 1 , b = 3 , c = 4 , Option B is the correct answer.
The correct question is
Which values of a, b, and c represent the answer in simplest form?
7/9 divided by 4/9 = [tex]\rm a\dfrac{b}{c}[/tex]
1: a = 1, b = 4, c = 3
2: a = 1, b = 3, c = 4
3: a = 1, b = 63, c = 36
4: a = 1, b = 36, c = 63
What is reducing to simplest Form ?Reducing to simplest form means to reduce to an extent where the numerator and denominator have nothing in common to be cancelled out.
It is given in the question that
(7/9) / (4/9) = [tex]\rm a\dfrac{b}{c}[/tex]
It can also be written as
(7*9)/(4*9) = [tex]\rm a\dfrac{b}{c}[/tex]
7/4 = [tex]\rm a\dfrac{b}{c}[/tex]
[tex]\rm 1 \dfrac{3}{4} = a\dfrac{b}{c}[/tex]
Therefore the value of a is 1 , b = 3 , c = 4 , Option B is the correct answer.
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Determine the Theorem or Postulate that proves triangle
congruence. If the triangles cannot be proven congruent,
choose "not congruent."
Answers
Answer:
SSS theorem
Step-by-step explanation:
It is indicated in the image that 2 sides of the triangles are congruent, and the third side is shared, which makes the third side automatically congruent as well. Therefore, we can use the side-side-side theorem to prove that the triangles are congruent.
At a sale this week, a desk is being sold for $561. This is 68% of the original price. What is the original price?
Answers
Answer:
825
Step-by-step explanation:
hope it helps.good day
HELPPPPPPP
What are the solutions to the system of equations graphed below?
A. (2,0) and (0,-4)
B. (-2,0) and (2,0)
C. (0,-2) and (0,2)
D. (0,2) and (-4,0)
Answers
Answer:
It's A. (2, 0) and (0, -4)
Two candidates ran for class president. The candidate that won received 80% of the 320 total votes. How many votes did the winning candidate receive?
pls help
Answers
Answer:
256
80÷100×320=256
80÷100=0.8
0.8×320=256
17, 18, 22, 31, 47 what is the next number
Answers
Answer:
the next number is 47+ 16 =63
PLS answer quick
Which formula can be used to find the volume, V, of the composite solid figure represented below?
OA V = r2h + ³
r²h +
3
r²2h + 3r3
r²h + ³
OB. V
OC.
V =
V =
V =
OD. V =
Answers
The formula to find the volume of the composite solid is: C. V = πr²h + ⅔πr³.
How to Find the Volume of a Composite Solid?The volume of the composite solid in the image given = Volume of cylinder + volume of hemisphere.
Volume of cylinder = πr²h
Volume of hemisphere = ⅔πr³
Therefore, formula to find the volume is: C. V = πr²h + ⅔πr³.
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Answer:
C
Step-by-step explanation:
I Just Took the Test.
Write the factored form of the polynomial function with real coefficients, a lead coefficient of 1, and zeros
of -3, -3, 4, and 2.
y(x) =
Answers
The factored form of the polynomial function is y(x) = (x + 3)²(x - 4)(x - 2)
How to determine the factored form?The given parameters are:
Leading coefficient, a = 1Zeros = -3, -3, 4, and 2.Rewrite the zeros as:
x = -3, x = -3, x = 4 and x = 2
Set the zeros to 0
x + 3 = 0, x + 3 = 0, x - 4 = 0 and x - 2 = 0
Multiply the zeros
(x + 3) * (x + 3) * (x - 4) *(x - 2) = 0
Express as a function
y(x) = a(x + 3) * (x + 3) * (x - 4) *(x - 2)
Substitute 1 for a
y(x) = (x + 3)²(x - 4)(x - 2)
Hence, the factored form of the polynomial function is y(x) = (x + 3)²(x - 4)(x - 2)
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if a tap leaks at the rate of 1 L per half minute, how many litres are Lost after 10 minutes?
Answers
Answer:
The answer is 20 L
Step-by-step explanation:
if 1/2 minutes = 1 L
10 minutes = 20 L
Answer:
20 liters
Step-by-step explanation:
when working with math problems about the rate that something is happening, it is typically helpful to find the unit rate.
In this case, the unit rate will be how many liters are lost in 1 minute (per unit essentially means per "1" )
we know that 1 liter is lost in 1/2 minute
1/2 minute = 1 liter
×2 ×2 {multiply both sides by 2 to find "1 minute"}
1 minute = 2 liters
So, for every 1 minute, we lose 2 liters
if we have 10 minutes, we can multiply both sides by 10:
1 minute = 2 liters
×10 ×10
10 minutes = 20 liters
So, after 10 minutes, 20 liters are lost
hope this helps!!
Caitlyn and Steve are planning their wedding reception and must decide between two catering halls. The first site, A Wedding Space, rents for $900 for one day and charges $50 per person for dinner. The second venue, A Wedding Place, costs $450 to rent for one day and charges $75 per person for the same dinner. Solve the equation 900+50x=450+75x to determine how many guests they can invite so that the cost they pay will be the same at both wedding catering halls.
Answers
The guest they can invite so that the cost they pay will be the same at both wedding catering halls is 18.
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
The given equation is
900+50x=450+75x
To solve;
900 - 450 = -50x +75x
450 = 25x
x = 450 /25
x = 18
The guest they can invite so that the cost they pay will be the same at both wedding catering halls is 18.
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solve for a
(log(a-1))^2 =log10
Answers
A function assigns the values. The value a is 11.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
The given logarithmic function can be solved as shown below.
[tex](\log(a-1))^2 =\log10\\\\(\log(a-1))^2 =1\\\\(\log(a-1)) =\sqrt1\\\\\log(a-1) = 1\\\\10^1 = a-1\\\\a = 11[/tex]
Hence, the value a is 11.
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Suppose there is a big drop in interest rates in Mexico and a small drop in U.S. interest rates. Everything else equal, what is likely to happen to value of the MXN?
Answers
The value of MXN will increase.
The official currency of Mexico is The Mexican peso (MXN).
MXN is simply an abbreviation of the currency the Mexican peso, which is the official currency of the country of Mexico.
Similarly, the drop value in currency is defined as the expression that the currency is worth less as compared to all other countries.
When a currency's country interest rate drop, then the value of the currency increase. Here given in the question as there is a big drop in interest rates in Mexico and a small drop in U.S. interest rates, the value of MXN will increase as the drop is more in Mexico which affects its currency MXN.
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