The supply equation of the company is an illustration of a quadratic function
The number of machines that must be made to minimize the unit cost is 150
How to determine the number of units?The equation of the function is given as:
[tex]C(x) = 0.5x^2- 150x +20960[/tex]
Differentiate the function
[tex]C'(x) = x - 150[/tex]
Set to 0
[tex]x - 150 = 0[/tex]
Add 150 to both sides of the equation
[tex]x = 150[/tex]
Hence, the number of machines that must be made to minimize the unit cost is 150
Read more about quadratic functions at:
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solve the equation
answer: x=
Answer:
Hope the picture will help you
A theater is selling tickets for a musical. One attendee purchased 2 adult tickets and 5 student tickets, and the total cost was $64. Another attendee purchased 3 adult tickets and 4 student tickets, and the total cost was $68. Write a system of equations to find the price of an adult ticket and a student ticket. Let x be the price of an adult ticket and y be the price of a student ticket.
Answer:
Price of an adult ticket: 12$
Price of a student ticket: 8$
Step-by-step explanation:
Let x be the price of an adult ticket, and y be the price of a student ticket.
We have the equation:
2x + 5y = 64
3x + 4y = 68
=> x - y = 4
2x + 5y = 64
=> x = 4+y
2*(4+y) + 5y = 64
=> x = 4+y
8 + 2y + 5y = 64
=> x = 4 + y
7y = 56
=> x = 4 + y
y = 8
=> x = 12
y = 8
$1 = £0.73. Change $346 into £
Answer:
£252.58
Step-by-step explanation:
$346 × £0.73/$1 = £252.58
Please rate!! I hope this helps!!
A runner is preparing for a marathon that is divided into 5 sections of equal distance. The Marathon is 42.195 km long. How long is each section of the marathon?
A. 210.975
B. 21.0975
C. 8.439
D. 0.8439
Answer:
8.439
Step-by-step explanation:
Since the marathon is divided on 5 EQUAL sections, and it is 42.195 km long, you only need to divide the length of the marathon by 5.
Find the derivative of the image below
[tex]~~~\dfrac{d}{dx} f(x) \\ \\=\dfrac{d}{dx} \left(x^3 \cdot \log_6 x \right)\\\\=x^3\dfrac{d}{dx} \left(\log_6 x\right) + \log_6 (x)\dfrac d{dx} x^3 \\\\=x^3 \cdot \dfrac 1{x \ln 6} + \log _6 (x) \cdot 3x^2\\\\=\dfrac{x^2}{\ln 6} + \log_6(x) \cdot 3x^2\\\\\\=x^2 \left(\dfrac 1{\ln 6} + 3\log_6 x \right)[/tex]
[tex]\text{The derivative is now in a form of}~ x^A (B + C \log_D (x))[/tex]
I need help with this question really badly please help.
Shannon has a paper cone filled with water. The cone has a diameter of 8 centimeters and a height of 9 centimeters. Select the containers that could hold all of the water in Shannon's paper cone
Sanjay is standing on level ground 70 meters away from a flag pole. The angle of elevation to the flagpole is 38 degrees. The height of Sanjay's eyes are 167cm from the ground. How tall is the flag pole in meters?
The height of the pole is 53 m
What is the height of the pole?The angle of elevation is the angle formed between a horizontal line and a line of sight or an upwardly inclined line from an observer to an object or point. It is used to describe the angle at which an object is viewed from a particular position
Let the height of the pole be x
We know that;
Tan 38 = 1.67 + x/70
Tan 38 * 70 = 1.67 + x
x = (Tan 38 * 70 ) - 1.67
x = 53 m
Thus we can see that the height of the pole is about 53 m
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What is the mean absolute deviation of the following set
of data?
9
2
9
9
5
4.
9
1
4
10
Answer:
3
Step-by-step explanation:
You want the mean absolute deviation of the set of numbers ...
{9, 2, 9, 9, 5, 4, 9, 1, 4, 10}
MADThe mean of this 10-number set of data is 6.2. The mean absolute deviation (MAD) is found by subtracting that from the members of the dataset, taking the absolute values of the result, and finding the means of those.
The attachment shows those calculations.
The MAD of this set of data is 3.
__
Additional comment
The period (decimal point) in the column of numbers suggests this is a 6-number dataset, and the last 4 numbers are answer choices. If that is the case, none of those answer choices is correct. That is why we assumed that this problem has a 10-number dataset.
When you're calculating this by hand, you only need to consider the values for which the deviation is negative. The MAD is twice their total absolute value, divided by the number of numbers in the dataset. Here, that is 2(4.2+2.2+5.2+2.2+1.2)/10 = 3. (Numbers 2, 5, 4, 1, 4 are less than the mean of 6.2.)
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Find the sum of the arithmetic sequence 1, 4, 7, 10, ...,94; n=32
Answer:
Step-by-step explanation:
hello :
the sum is : Sn = n/2(U1 + Un ) and U n = U1+(n-1)r
given : U1 = 1 r=4-1=7-4=...= 3 n= 32
so : U 32 = 1+(32-1)3= 94
S32 = 32/2 (1+94) = 1520
When asked to factor the trinomial x^2 - 18x + 81, a student gives the answer (x - 9)(x + 9). Which of the following statements is true?
A. The answer is incorrect; the trinomial cannot be factored.
B. The answer is incorrect; the plus sign should be a minus sign.
C. The answer is incorrect; the minus sign should be a plus sign.
D. The answer is correct.
Answer:
B.The answer is incorrect; the plus sign should be a minus sign.
Step-by-step explanation:
[tex]x^2-18x+81\\\\=x^2-2\cdot 9x +9^2\\\\=(x-9)^2\\\\=(x-9)(x-9)[/tex]
solve for t; 1/11=cos((2π/3)t)
Answer:
Step-by-step explanation:
Method
Take the inverse Cos of both sides. That will give you the angle on the left.
From there you can solve for t
cos-1(1/11) = cos-1 cos ((2pi/3)t)
1.4798 = 2*pi*t/3 Multiply both sides by 3/2
1.4798 * 3/2 = (2pi*t/3)*3/2
2.2196 = 2*pi*t Divide both sides by 2*pi
2.2196 / (2*pi) = t
t = .3534
This was done by setting my calculator to radians. 1.4798 is a radian measure.
40 Points! If AD is a diameter and m∠C = 112°, what is the measure of ∠A?
Both are supplementary
<A+<C=180112+<A=180<A=180-112<A=68double the difference of 6 and x
Please help me i need help!!!
Answer:
sorry cant help with that
Step-by-step explanation:
3 friends share 6 pounds of grapes equally. Each pound has 40 grapes.
How many grapes does each friend get?
A.
20 grapes
B.
60 grapes
C.
80 grapes
D.
90 grapes
Answer:
C. 80 grapes
Step-by-step explanation:
6 / 3 = 2
Each person gets 2 pounds of grapes.
2 X 40 = 80
1 pound = 40 grapes
2 pound = 80 grapes
Which polynomial function could be represented by the graph below?
Answer:
C
Step-by-step explanation:Only one that makes sence just look at the graph
The Han family just enjoyed dinner at Mizumi restaurant. The bill was $160.18. The tax rate is 8.25% and the restaurant charges a 15% service fee on each bill, not including the tax.
a) what was the total amount the Han family paid for dinner?
Answer:
$198.62
Step-by-step explanation:
The dinner itself is $160.188.25% tax on $160.18 is approximately $13.21A 15% service fee on $160.18 is approximately $25.23**You only apply the 15% service fee to $160.18 and not 173.39 (dinner and tax) because the problem says the service fee is applied before tax.
160.18 + 13.21 + 25.23 = 198.62
Hope this helps!
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PLEASE HELP
7.03 Understanding Compound Events -
Record your results here:
Landing: Frequency:
heads, heads ____________
heads, tails ______________
tails, heads ______________
tails, tails ________________
TOTAL: 50
please help :))
Answer:
Tails, tail: 26
Heads: 9
Heads Tails: 26
Tails: 15
Step-by-step explanation:
(credit to the person who answered your question before me)
Have a great rest of your day
#TheWizzer
what is 1/4 - 41 1/4 + 3
Answer:
-38
Step-by-step explanation:
i hope this helps you
good luck on your quiz or lesson!
Answer:
-38
Step-by-step explanation:
[tex]\frac{1}{4} = 0.25[/tex]
[tex]\frac{1}{4} -41\frac{1}{4} +3[/tex]
[tex]0.25-41.25+3[/tex]
[tex]-41+3[/tex]
[tex]-38[/tex]
Camila has a coin collection. She keeps 13 of the coins in her box, which is 10% of the
collection. How many total coins are in her collection?
Answer:
130
Step-by-step explanation:
We need to keep adding 13 together until we have done this 10 times :)
10%: 13
20%: 26
30%: 39
40%: 52
50%: 65
60%: 78
70%: 91
80%: 104
90%: 117
100%: 130
Have an amazing day!!
Please rate and mark brainliest!!
Necesito saber cual funcion es
Answer:
A function is defined as a relation between a set of inputs having one output each..
Step-by-step explanation:
A function is defined as a relation between a set of inputs having one output each. In simple words, a function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input.
¿Qué es la función explicar?
Una función se define como una relación entre un conjunto de entradas que tienen una salida cada una. En palabras simples, una función es una relación entre entradas donde cada entrada está relacionada exactamente con una salida. Cada función tiene un dominio y un codominio o rango. Una función generalmente se denota por f(x) donde x es la entrada.
A footbridge is being built across the river that will connect points A and B. If the length of each box represents 2 yards, approximately what will the length of the footbridge be?
Answer:
4 yards
Step-by-step explanation:
IG;youngdestinyofficial
the question is below
Answer:
£59.25
Step-by-step explanation:
Hello!
To solve this problem, we must:
Solve for the length of the fence (aka height)Find the area of the lawn (trapezoid)Find the number of cans neededFind the price of all the cansArea of a trapezoid, and why the formula works:
A trapezoid is a quadrilateral with one set of parallel sides known as bases. The other two sides are known as the legs.
To find the area of a trapezoid, we use the formula:
[tex]\frac{B_1 + B_2}{2}* h[/tex]
This works because if we used the formula, we would be duplicating the trapezoid to form a rectangle with a side length of B1 + B2, and a height of h. Since the trapezoid is half of that, we divide by 2.
Solve for height:
The height is unknown but can be found using the Pythagorean Theorem.
The difference between the bases is the length of the bottom leg of the right triangle, and 17 is the hypotenuse.
Difference = 20 - 12 = 8
Hypotenuse = 17
8² + fence² = 17²64 + fence² = 289225 = fence²fence = 15The height is 15
Solve for area:
Now we can solve for the area.
[tex]A = \frac{B_1 + B_2}{2} * h[/tex][tex]A = \frac{12 + 20}{2} * 15[/tex][tex]A = \frac{32}{2} * 15[/tex][tex]A = 16 * 15 = 240[/tex]The area is 240
Cans:
The area of the lawn is 240 square meters. Each can cover 100 square meters.
240 ÷ 100 = 2.4Since we can't use part of a can, we round up to three whole cans.
The price of 3 cans :
3 * 19.7559.25£59.25
The Pythagorean Theorem:
The Pythagorean theorem is a very common geometry formula used to find the length of the hypotenuse in a right triangle, given the lengths of the two other bases.
The formula is : [tex]a^2 + b^2 = c^2[/tex]
a is a legb is a legc is the hypotenuseImages attached for your reference
Trigonometric equations
4sin^2(theta) + 4 = 5
Answer:
Θ = (π/6) + πn
Θ = (5π/6) + πn
Step-by-step explanation:
4sin²Θ + 4 = 5
-4 -4
4sin²Θ = 1
÷4 ÷4
sin²Θ = (1/4)
√sin²Θ = √(1/4)
sinΘ = (1/2), (-1/2)
-------------------------
Θ = arcsin (1/2)
Θ = (π/6)
to find the quadrant subtract π
Θ = π - (π/6)
Θ = (5π/6)
Find the period
2π / |b|
b = 1
2π/1 = 2π
The sin Θ function is 2π, so values will repeat 2π in both directions.
Θ = (π/6) + 2πn (n is the variable)
Θ = (5π/6) + 2πn
-------------------------------------------------------------------------------------------------------
sin Θ = (-1/2)
Θ = arcsin (-1/2)
Θ = (-π/6)
To find the second function add π
Θ = 2π + (π/6) + π
Θ = (7π/6)
Find the period
2π/|b|
2π/1
2π
(-π/6) + 2π
2π 6 π
----- × ----- - -----
1 6 6
Θ = (11π/6) will repeat every 2π in both directions
-------------------------------------------------------------------------------------------------------
Θ = (π/6) + 2πn
Θ = (5π/6) + 2πn
Θ = (7π/6) + 2πn
Θ = (11π/6) + 2πn
(π/6) + π = (7π/6)
(5π/6) + π = (11π/6)
Θ = (π/6) + πn
Θ = (5π/6) + πn
----------------------------------------------------------------------------------------------------------
I hope this helps!
La integral indefinida de la función h(x)=2x+5x4
Answer:
x^2 + x^5 + C.
Step-by-step explanation:
∫2x + 5x^4 dx
= 2 * x^2/2 + 5 * x^5/5 + C
= x^2 + x^5 + C.
Diego's recipe calls for three times as much oregano than Tracy's recipe. If Tracy only uses 0.75 tablespoons of oregano in her recipe, how many does Diego use?
Answer:
2.25 tablespoons of oregano
Step-by-step explanation:
as Diego use 3x more than Tracy, and you know that Tracy use 0.75 tablespoon, so 0.75 x 3 and you will get 2.25
UNDERSTAND VOLUME
When water is poured from the graduated cylinder below into a rectangular
prism, the rectangular prism is completely filled.
How many 1-cm unit cubes can be packed into the rectangular prism with no gaps
or overlaps?
Answer____ 1-cm unit cubes
Explain your answer.
Check the picture below.
liquid always take the shape of the container that contains it, so 25 cm³ from a beaker or pitcher or a curvy pipe dumped into another container, will always have 25 cm³ as its volume.
In this case it went from the cylinder to a prism, same 25 cm³.
notice in the picture, the volume of a green cube with those dimensions is just 1 cm³.
7. SHORT ANSWER Determine whether the
relationship between the two quantities
in the table is proportional. Explain
your reasoning.
Answer:
it is proportional because there is a roc of +5 bc as one hour increases 5 dollars is added to the initial cost
n a certain country, the true probability of a baby being a girl is 0.467. Among the next four randomly selected births in the country, what is the probability that at least one of them is a boy?
Answer:
0.9524
Step-by-step explanation:
Since the probability of a baby being a girl is 0.467, then the probability of a baby being a boy is 1 - 0.467 = 0.533
By the Binomial Theorem, the probability of at least one baby out of four being a boy is 1 - (0.467)^4 = 1 - 0.0476 = 0.9524