The number of machines to minimize the unit cost is 110 and minimum cost is 10,389 .
What is Quadratic Equation?
Quadratic equation can be defined as the equation which is in the form of ax^2 +bx +x = 0.
where a,b,c are constants.
Given ,
The standard form of a quadratic is given by:
ax^2 + bx + c
So for our function, we can say,
a = 0.1
b = -22
c = 11599
We can find the vertex (x-coordinate where minimum value occurs) by the formula -b/2a
So,
= -(-22) / 2*0.1
=22/0.2
= 110
Plugging this value into original function would give us the minimum (unit cost):
C(x) = 0.1 x ^2 - 22x +11599
C(x) = 0.1(110*110) - 22(110)+11599
C(x) = 110(11-22) + 11,599
C(x) = -11(110) + 11599
C(x) = -1210 + 11599
C(x) = 10,389
Hence , The number of machines to minimize the unit cost is 110 and minimum cost is 10,389 .
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a wall in marcus's bedroom is 8 2/25 feet high and 16 2/3 long. If he paints 1/2 the wall blue how many square feet will be blue
Answer: 66.70
Step-by-step explanation:
8 2/25 times 16 2/3 then divide by 2 and you get 66.70 will be blue
Given that there are 3 feet or 36 inches in 1 yard, which of the following amounts is greater than 6 feet? Select all that apply. Video A) 2 yards, 3 inches B) 5 feet, 8 inches C) 96 inches D) 3 yards, 2 feet E) 1 yard, 2 feet
Answer: its D
Step-by-step explanation: 3 yard is bigger then 6 feet because 3 yards equals 9 feet hope this helps
Please help I beg of you
Will mark brainlist
What is .15 written as a rational number
Answer:
it is a rational number already
Step-by-step explanation:
branley bought 81 pencils and 54 erasers he plans to give each classmate the same number of pencils and the same number of erasers what is the greatest number of classmates bradley can have
Answer:
j
Step-by-step explanation:
do me a favor and report anyone you see putting links to questions. the files from there a dangerous and shouldn't be downloaded
Answer:
Ok thank you also If you dont mind but please click on my pfp and answer my questions please?
nintendo was trying to determined the cost of producing nintendo switch games. The function f(g) = 5g + 20, where g is the number of games produced, was used to determine the cost of producing the games. What's ur the domain of this function? A) All integers. B) All integers greater than it equal to zero. C) Rational numbers greater than or equal to zero. D) All rational numbers
Answer:
I got u the answer is B = Rational numbers greater than or equal to zero
Step-by-step explanation:
Sorry there is no step by step but the answer is B
Answer:
The Answer is B
Step-by-step explanation:
The integer can't be less than 0 because if it is the equation is all messed up.
The goal for the size of the Santa on a Christmas Santa cup is 3. 5 cm with an acceptable tolerance of ± 0. 9 cm. The grand mean of the size of the Santa from the samples that were taken is 3. 4 cm and the standard deviation is 0. 28 cm. What is CP? (rounded to three decimals)
The processing capability for the size of the Santa rounded to three decimal places is 1.07.
CP (Process Capability) is a statistical measure that compares the performance of a process to the specifications of that process. It can be calculated using the formula:
CP = (USL - LSL) / (6 * standard deviation)
Where:
USL = Upper Specification Limit (3.5 + 0.9) = 4.4 cm
LSL = Lower Specification Limit (3.5 - 0.9) = 2.6 cm
Standard deviation = 0.28 cm
Substituting these values into the formula:
CP = (4.4 - 2.6) / (6 * 0.28) = 1.8 / 1.68 = 1.07
So, CP rounded to three decimal places is 1.07
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someone please help me with this
Answer:
[tex]area = 4 \times ( \frac{1}{2} \times base \times height) \\ =2 \times ( \frac{1}{2} \times 16.3 \times 42.7) + 2 \times ( \frac{1}{2} \times 16.3 \times 22.5) \\ = 696.01 + 366.75 \\ = 1062.76 \\ = 1063[/tex]
Find the least common denominator for these
two rational expressions.
-8/s^2 -4/s^2
Answer:
s²
Step-by-step explanation:
how do i do this qution
y = -1/2x is the equation of example of the direct variation.
What is polynomia?A polynomial is a mathematical equation that solely uses the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are sometimes known as indeterminates in mathematics. Polynomials come in various varieties. Monomial, binomial, and trinomial, respectively.
Given four linear equations in them we need to state which equation is an example of direct variation.
The direct variation equation has the form y = kx, where k is the constant proportionality. It is a linear equation with two variables. In a coordinate plane, the direct variation graph is a straight line. A constant is the ratio of two quantities that vary directly. Or in other words, the direct variation equation always passes through the origin point of a cartesian plane or (0, 0).
Therefore, in the given options y = -12/x is the only equation that is an example of direct variation.
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The figure is made up of two identical quarter circles and a rectangle. The length of the rectangle is 35 cm and its breadth is 20 cm. Find the perimeter of the figure. (Take Pi = 3.14)
Answer:
110 is the aswer
Step-by-step explanation:
You can use a calculator
Answer:
8<√74<9
Step-by-step explanation:
√74 = 8.6
Answer:
8<74<9Step-by-step explanation:
74 < 8,6 this answer
it takes 3.3 quarts to water 1 square foot of a vegetable garden, how many gallons does it take to water a garden 10 feet by 12 feet?
A 96
B 99
C 39.6
D 396
Answer:
i got c
Step-by-step explanation:
for each mentor artist, write an equation and a graph showing the proportional relationship between the art sold and your total commission.
Sara's pieces of art sell for $25 each your commission is 60%
Ravi's pieces of art sell for $2000 each your commission is 25%
x represents the number of pieces of art sold
y represents the total commission
K represents the commission per piece of art
The equations of the commissions are
Sara: y = 15xRavi: y = 500xHow to determine the equations and the graphFrom the question, we have the following parameters that can be used in our computation:
Sara's pieces of art sell for $25 and commission is 60%Ravi's pieces of art sell for $2000 and commission is 25%Also from the question, we have:
x represents the number of pieces of art soldy represents the total commissionThis means that:
Commission = Unit rate * Commission proportion * Number of pieces
Using the above as a guide, we have the following:
Sara: y = 25 * 60% * x
Ravi: y = 2000 * 25% * x
Evaluate
Sara: y = 15x
Ravi: y = 500x
See attachment for the graph of the commission equations
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a circle has a radius of 7 inches what is the area of the circle rounded to the nearest whole number
Answer:
A ≈ 153.86 in²
Step-by-step explanation:
The area (A) of a circle is calculated as
A = πr² ( r is the radius )
= π × 7²
= 3.14 × 49
≈ 153,86
≈ 154 in² ( to the nearest whole number )
Simplify the polynomial.
3 – 2x + 4 – x5 + 2x
PLEASE HELP, i was supposed to be done with this class awhile ago and ive been stuck on this problem and now i have a lot of work to be completed in 5 days, so please it would mean so much to me if someone, anyone could help me!!
Answer:
Hopefully this makes sense. All you're doing is inputting your X VALUES (or your inputs) and using those numbers to find our what your Y VALUES (or your outputs) are
x: -2 -1 0 1 2 3
y: 49 7 1 [tex]\frac{1}{7}[/tex] [tex]\frac{1}{49}[/tex] [tex]\frac{1}{343}[/tex]
A point with a positive x-coordinate and a negative y-coordinate is reflected over the y-axis.
Which sentence describes the coordinates of the new point?
The x-coordinate is positive, and the y-coordinate is positive.
The x-coordinate is negative, and the y-coordinate is negative.
The x-coordinate is negative, and the y-coordinate is positive.
The x-coordinate is positive, and the y-coordinate is negative.
Done
Answer:
The x-coordinate is negative, and the y-coordinate is negative.
Step-by-step explanation:
(x, -y)
When you reflect over the y-axis, the x-coordinate becomes negative:
(-x, -y)
Simplifying algebraic expression
Answer:
42
Step-by-step explanation:
2 + 3(5) + 5(5)
2 + 15 + 25
Which equals..
42
Answer:
42
Step-by-step explanation:
IF b=5
Now,
2+3b+5b
=. 2 + 3*5 + 5*5
=. 2 + 15 + 25
=. 42
There are 3 times as many males as females on the maths course at university. What fraction of the course are male?
Answer:
3/4
Step-by-step explanation:
let x = females
3x = males
3x + x = 4x
fraction of males = 3x / 4x = 3/4
Is it appropriate to identify values on this graph that are between or beyond the plotted points? Explain.
Note that It is not a good idea to guess what a value on a graph might be if it is beyond the points that are already plotted. The reason for this is that the guess might not be accurate. Generally, it is better to stay within the defined data limits.
What is a graph?In mathematics, a graph is defined as a graphical representation or diagram that organizes facts or values. The graph's points frequently reflect the relationship between two or more objects.
Because they display information quickly and readily, graphs and charts are powerful visual aids. It's no surprise that graphs are widely utilized in print and electronic media. Data can often be easier understood when displayed as a graph rather than a table since the graph might illustrate a pattern or comparison.
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b) Suppose that you increase the height of this cylinder by 10 cm.
By how much does the volume increase?
Answer:
the answer is 5 I think so
Which two numbers are equivalent in value?
O
A 364 and 18
O
B. 345 and 19
C. 327 and 81
O D. 3216 and 36
Rewrite 16r²s² as a power of a product.
The solution is
[tex]16r^2s^2[/tex] as the product of power is written as [tex](4rs)^2[/tex]
How would you characterize a product's strength?The power of a product rule states that [tex](a^m)(a^n) = a^(m+n)[/tex], where "a" is the base, "m" is the exponent of the first term, and "n" is the exponent of the second term. This rule allows us to simplify expressions where multiple variables are being raised to a power and multiplied together by adding the exponents.
For example, [tex](a^2)(a^3) = a^(2+3) = a^5[/tex].
It is also important to remember that when we are using the power of a product rule, the bases must be the same. If we have different bases, we cannot use this rule.
For example, [tex](a^2)(b^3) = a^2 * b^3, not a^(2+3) = a^5[/tex].
Rewritten as power of product:
[tex]16r^2 s^2= 4*4*r*r*s*s\\16r^2s^2= 4^2*r^2*s^2\\16r^2s^2=(4rs)^2[/tex]
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BRANIEST !!!!!!!! PLEASE HELP!!!!
Answer:
B. y= x^2 + 1
Step-by-step explanation:
I graphed it
Answer:
.........B..........
Step-by-step explanation:
i think it is because (X+1)^2 means X^2+1
Help Pls
Figure ABCD is similar to figure EFGH. What is the sequence of transformations that maps ABCD to EFGH?
The transformation used to map ABCD to EFGH is rotation of 180 degrees about the origin.
What is transformation?Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, rotation and dilation.
The transformation used to map ABCD to EFGH is rotation of 180 degrees about the origin.
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Review the graph of complex number z. On a coordinate plane, the y-axis is labeled imaginary and the x-axis is labeled real. Point z is at (negative 7, negative 6). What is the conjugate of z?
The conjugate is -7+6i. The correct option is third.
What is conjugate?When two binomials have the same terms but different arithmetic operators in the center of these related words, they are said to be conjugate. For instance, the conjugate of p + q is p - q.
Given:
On a coordinate plane,
the y-axis is labeled imaginary and the x-axis is labeled real.
Point z is at (negative 7, negative 6).
Z(-7, -6)
So, the equation,
-7-6i
So, the conjugate of the equation is,
-7+6i
Therefore, -7+6i is the conjugate of the points.
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√2x-1- x = 0
How do I solve this equation?
Answer:
x = 1
Step-by-step explanation:
Immediately, we will simplify like terms on the left side of the equation. This will give us:
[tex]\sqrt{2x-x-1}[/tex] = 0
Simplifying gives us:
[tex]\sqrt{x-1}[/tex] = 0
Now, an important thing to note, is that for the square root of a number to be 0, the number has to be 0. Therefore, x - 1 must equal 0. So, x = 1. Checking our work gives us:
[tex]\sqrt{2x - x - 1}[/tex] = 0
[tex]\\\sqrt{2 - 1 - 1}[/tex] = 0
[tex]\sqrt{0}[/tex] = 0
It all checks out.
Hope this helped!
. Which of the following is the graph of the equation y = 2x + 3?
Answer:
The graph of the equation y = 2x + 3 is a straight line that passes through the point (0,3) and has a slope of 2.
It can be represented as a set of points in a coordinate plane. The slope of the line is 2, so for every unit increase in x (horizontal coordinate), y (vertical coordinate) increases by 2 units. The y-intercept of the line is 3, so when x is 0, y equals 3.
A line passing through (0,3) with a slope 2 can be represented as (x, 2x + 3)
It is important to note that an equation in the form of y = mx + c, with m being the slope and c being the y-intercept, always represents a straight line in a coordinate plane.
Step-by-step explanation: