The profit function is P(x) = 110x - 3300 if the revenue function for a certain product is given by R(x) =450x, while the cost function for this product is given by C(x) = 340x + 3300.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have,
The revenue function:
R(x) = 450x
Cost function:
C(x) = 340x + 3300
We know, the profit function is given by:
P(x) = R(x) - C(x)
P(x) = 450x - (340x + 3300)
P(x) = 110x - 3300
Thus, the profit function is P(x) = 110x - 3300 if the revenue function for a certain product is given by R(x) =450x, while the cost function for this product is given by C(x) = 340x + 3300.
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In how many ways can you write 32 as the product of three numbers. Write them.
32 x 1 x 1
16 x 1 x 2
8 x 2 x 2
4 x 2 x 4
8 x 4 x 1
These are the ones that come to my mind
A clothing company makes a profit of $2.3 million. This is $4.1 million more than last year. What was the profit last year?
Answer:
-1.8 million. This means that the business likely spent a lot on production and generated very little sales during the first year.
Step-by-step explanation:
2.3 - 4.1= -1.8
(URGENT)An engineer has a 40:1 scale drawing of a bridge. The dimensions of the scaled bridge deck are 24 inches by four and four fifths inches. What is the area of the actual bridge deck in square feet?
460 square feet
640 square feet
960 square feet
1,280 square feet
The area οf the actual bridge deck in square feet is 1,280 square feet.
What is Area?Area refers tο the measurement οf the size οf a twο-dimensiοnal surface, usually measured in square units such as square inches, square feet, οr square meters. It represents the amοunt οf space that is inside the bοundary οf a flat οbject οr shape.
The scale οf the drawing is 40:1, which means that the dimensiοns οf the scaled bridge deck are 40 times smaller than the actual bridge deck. Tο find the area οf the actual bridge deck in square feet, we need tο cοnvert the dimensiοns οf the scaled bridge deck frοm inches tο feet and then multiply by the square οf the scale factοr (40² = 1600).
The dimensiοns οf the scaled bridge deck in feet are:
24 inches = 2 feet
4 and 4/5 inches = 0.4 feet
Sο, the area οf the scaled bridge deck in square feet is:
2 feet x 0.4 feet = 0.8 square feet
Tο find the area οf the actual bridge deck in square feet, we need tο multiply the area οf the scaled bridge deck by the square οf the scale factοr:
Area οf actual bridge deck = 0.8 square feet x (40²) = 1280 square feet
Therefοre, the area οf the actual bridge deck in square feet is 1,280 square feet.
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Answer:
Step-by-step explanation:
The scale factor indicates the actual bridge is 40 times larger than the drawing.
Increase the scale dimensions by the factor of 40.
24 times 40 = 960"
4.8 times 40 = 192" (I changed 4 4/5 to 4.8)
Area = length times width
960 times 192 = 184320 sq inches actual bridge deck in square inches
Divide 183320 by 144 (sq inches in a square foot) = 1280 sq feet
PLZZZ HURRYYY ILL GIVE YOU BRAINIEST
What are the x-intercepts?
Answer:
The x-intercepts are 0, 1, 2, 2.2
Step-by-step explanation:
Hope this helps if it answers your question
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what is 104.4 to 1dp
Answer:
104.4 just round
Step-by-step explanation:
Answer:
104.4
Step-by-step explanation:
its already at 1 decimal place
if answer is correct brainliest
Find A when =$275 , R=0,09 and T=4 in the formula A=prt
Answer:
A = $99
Step-by-step explanation:
Substitute the values for the variables and multiply them together.
\(A=prt\\A=(275)(0.09)(4)\\A=99\)
The following table shows the distances each of four students jumped at a long jump competition:
Student Distance (in feet)
Aleena 9.46
Susan 9.068
Molina 9.601
Anna 9.04
Which student jumped the greatest distance? (1 point)
Aleena
Susan
Molina
Anna
Molina jumped the greatest distance at a long jump competition which is 9.601 feet
What is meant by Decimal?Decimal: A decimal is a number that consists of a whole and a fractional part. Decimal numbers lie between integers and represent numerical value for quantities that are whole plus some part of a whole.
Given in the question that, the distance each of four students jumped a long jump competition
Student Distance
Aleena 9.46 feet
Susan 9.068 feet
Molina 9.601 feet
Anna 9.04 feet
let us compare the feet jumped by the students
write them in ascending order to get the highest feet based on decimal values
9.04, 9.068, 9.46, 9.601
by checking the order we can confirm that 9.601 feet is the highest
9.601 feet long jump was done by Molina
so we can conclude that Molina jumped the greatest distance
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Improper Fraction question
I WANT TO MAKE SURE IF IM CORRECT
which property of exponents must you apply to the express p 1/2 to derive p as the result
The expression becomes: p^(1/2) = p^(1/2 * 1) = p^(1/2) Now we can simplify p^(1/2) as p^1/2 which equals the square root of p.
The property of exponents that must be applied to the expression p^(1/2) to derive p as the result is the Power of a Power Property.
The Power of a Power Property states that when a power is raised to another power, the exponents are multiplied.
For instance, consider the expression p^(1/2). We can apply the Power of a Power Property to this expression as follows: p^(1/2) = (p^(1/2))^1 By applying the Power of a Power Property, the exponent (1/2) is multiplied by the exponent 1, giving a result of 1/2.
Therefore, the expression becomes: p^(1/2) = p^(1/2 * 1) = p^(1/2)Now we can simplify p^(1/2) as p^1/2 which equals the square root of p.
So we have derived p as the result using the Power of a Power Property.
In summary, we must apply the Power of a Power Property to the expression p^(1/2) to derive p as the result.
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HELP! PLEASEE I’ve been stuck!! I WILL GIVE BRAINLY,,, THANK YOU SM
Answer:
$119
Step-by-step explanation:
08:00 - 12:15 = 4hrs 15mins
13:00 - 17:15 = 4hrs 15mins
Total hours worked = 8hrs 30 mins
$14/hr
14 × 8 = 112
30 mins is half of an hour so 14/2 = 7
$7 for 30 mins
112 + 7 = 119
$119
hope this helps ^^
Natalya designed a patio for her backyard. The two brick
sections will be the same size and concrete fills the rest of
the patio. Her design and the scale she will use to build
the patio are both shown below.
The concrete portion of the patio will cost $3 per square
foot to construct and the brick portion of the patio will
cost $6 per square foot to construct.
How much will Natalya spend constructing the patio with
concrete and brick?
Scale
1 cm = 4 ft.
A
B
6 cm
$432
$648
Brick
Concrete
6 cm
3 cm
Brick
3 cm
OPTIONS
A
$432
B
$648
C
$2,160
D
$3,024
The amount natalya will spend constructing the patio with concrete and brick is $4320, the correct option is D.
We are given that;
The concrete portion of the patio cost=$3 per square
To construct and the brick portion of the patio cost= $6 per square
Now,
The area of a rectangle is given by length times width. The concrete portion of the patio is a rectangle with length 6 cm and width 3 cm. Using the scale, we can convert these to feet:
6 cm = 6 x 4 ft = 24 ft 3 cm = 3 x 4 ft = 12 ft
Therefore, the area of the concrete portion is:
24 ft x 12 ft = 288 ft^2
The brick portion of the patio consists of two identical rectangles with lenth 3 cm and width 6 cm. Using the scale, we can convert these to feet:
3 cm = 3 x 4 ft = 12 ft 6 cm = 6 x 4 ft = 24 ft
Therefore, the area of one brick rectangle is:
12 ft x 24 ft = 288 ft^2
Since there are two brick rectangles, the total area of the brick portion is:
2 x 288 ft^2 = 576 ft^2
Now we can multiply the areas by their costs per square foot to get the costs of each portion:
Concrete cost = $3 x 288 ft^2 = $864 Brick cost = $6 x 576 ft^2 = $3456
The total cost of constructing the patio is the sum of the costs of each portion:
Total cost = $864 + $3456 = $4320
Therefore, by area the answer will be $4320.
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2. Jae creates a foot path in her front yard with two
sections. One section is 7 2/3 yards. The other
section is 2 1/2 yards. How many yards is the foot
path in total? Is your answer reasonable? Why?
Answer:
10
Step-by-step explanation:
Just add them together also u have a lenovo chromebook
HELP NEEDED ASAP
2. Consider the following transformed function
y = −2 Sin [2( − 45°)] + 1
a) Graph the five key points of Parent function on the provided grid. [1mark]
b) State the following for the transformed function [2marks]
Amplitude=
period=
Horizontal Phase shift =
Equation of axis=
c) Graph at least two cycles of the transformed function by transforming the key points of the parent function. (Don’t forget to label the x-axis and y -axis)
The five key points of the parent function are:
Domain: Set of all real numbersRange: Set of all real numbers from -1 to 1 (inclusive)No vertical asymptoteNo horizontal asymptoteMaximum: (π/2 + 2πn, 1)The five key points of the parent functionThe function is given as:
y = -2 sin[2(x - 45)] + 1
The above function is a sine function, and the parent function of a sine function is
y = sin(x)
The properties of the above function are:
Domain: Set of all real numbersRange: Set of all real numbers from -1 to 1 (inclusive)No vertical asymptoteNo horizontal asymptoteMaximum: (π/2 + 2πn, 1)The transformed functionThe transformed function is given as:
y = -2 sin[2(x - 45)] + 1
A sine function is represented as:
y = A sin[Bx + C] + D
Where:
A represents the amplitudePeriod = 2π/BC represents horizontal phase shiftUsing the above representations, we have:
Amplitude = -2Period = 2π/2 = πHorizontal phase shift, C = 2 * -45 = -90Equation of the axis, y = 1The graph of the functionSee attachment for the graph of the sine function y = -2 sin[2(x - 45)] + 1
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Q1 Combining Functions
An accident at an oil drilling platform on top of the ocean is causing a circular-shaped oil slick to grow on the surface of the water. The area of the oil slick is given by A(r)=πr ^2, where r is the radius of the oil slick in feet. The radius is increasing according to the function r(t)=1.5t, where t is measured in minutes.
Q1.1 Part a)
If it has been 60 minutes since the accident started, what is the area of the oil slick? (Round your answer to 2 decimal places, and include correct units.)
Q1.2 Part b)
Find the function, (A∘r)(t), and then explain what this function means in the context of the question.
Q1.3 Part c)
How long after the accident started will the area of the oil slick be 20,000 square feet? (Round your answer to 1 decimal place and include correct units.)
Q2 Combining Functions
The cost (in dollars) to heat a home during a Summer day in Tucson is a function of the day's high temperature, and it is approximately given by C(H)=0.07H+0.42, where H is the day's high temperature. Suppose that the predicted high temperatures for the next 7 days are given in the table below. (graph at the bottom)
Q2.1 Part a)
Express the high temperature as a linear function of the day. (Make sure to use the given variables.)
Q2.2 Part b)
Use the linear function from Part a) to create a function that represents the daily cost to heat a home in Tucson as a function of the day. (Make sure to use the given variables.)
Q2.3 Part c)
Pick one ordered pair on the graph of the new function from Part b), and then explain what it tells you in the given context of the question.
The volume of the slick would be 25 cubic feet after 60 mins/
How to solve thisConsider the volume of the slick is roughly given as:
V(r) = 0.08\(\pi r^2\)
r is the radius of the slick in feet
And r(t) = 0.5t
V(r(t)) = V(0.5t)
= 0.08\(\pi\)(0.5t)^2
= 0.02\(\pi t^2\)
Recall the volume is 225ft^3
225 = 0.02\(\pi t^2\)
Make t subject formula
t = 60 mins.
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what is the nth term in a cube number sequence
Answer:
cube numbers: 1, 8, 27, 64, 125, ... - the nth term is. triangular numbers: 1, 3, 6, 10, 15, ... (these numbers can be represented as a triangle of dots).Step-by-step explanation:
IF IT HELPED UH PLEASE MARK ME A BRAINLIEST :-)The radius of a circular play ground is 77 m. Calculate the distance covered by a runner in 5 complete rounds around the ground.
Answer:
Step-by-step explanation:
77*5=385
Which matrix respresents the system of equations shown below?
4x - 2y = 12
2x - 3y = 8
Answer:
Hey, kevinlopez1225, your answer is Number one!
Astradele
Identify an equation in standard form for a hyperbola with center (0, 0), vertex (6, 0), and focus (10, 0).
Answer:
Step-by-step explanation:
ab-c/d has a value of 24. write the values if :-
1- a, b, c, d are all positive.
2- a, b, c, d are all negative.
3- a, b, c, d are mixed of negative and positive.
WRITE ANSWERS FOR 1, 2 AND 3
The values of ab, b - c, and c/d are 6, -1, and 4 respectively when a = 2, b = 3, c = 4 and d = 1.Using BODMAS rule, we can simplify the given expression.ab - c/d = 24
Given ab-c/d has a value of 24.Now, we have to find the value ofab, b - c, and c/d.Multiplying d on both sides, we getd(ab - c/d) = 24dab - c = 24d...(1)Now, we can find the value of ab, b - c, and c/d by substituting different values of a, b, c and d.Value of ab when a = 2, b = 3, c = 4 and d = 1ab = a * b = 2 * 3 = 6.
Value of b - c when a = 2, b = 3, c = 4 and d = 1b - c = 3 - 4 = -1Value of c/d when a = 2, b = 3, c = 4 and d = 1c/d = 4/1 = 4Putting these values in equation (1), we get6d - 4 = 24dSimplifying, we get-18d = -4d = 2/9
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Someone pls help me with this
The measures of the angles are a = 38, b = 52, c = 104 and d = 90 degrees
Calculating the measures of the angles a to dFrom the question, we have the following parameters that can be used in our computation:
The circle and its properties
The angle in a semicircle is 90 degrees
So, we have
d = 90
Using the properties of angles, we have
a = 1/2 * 76
a = 38
Also, we have
a + b + d = 180 --- sum of angles in a triangle
So, we have
38 + b + 90 = 180
This gives
b = 52
Using the properties of angles, we have
b = 1/2 * c
52 = 1/2 * c
c = 104
Hence, the measures of the angles are a = 38, b = 52, c = 104 and d = 90 degrees
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Please help me Mom made 1.5 L of chicken noodle soup. She has a
container that will hold 50 ounces. Can Mom's soup fit in
the container? Show your work and explain your reasoning.
(1 L = 33.8 oz)
Answer: It will not fit
Step-by-step explanation:
1L=33.8 ounces, so half of that (the .5) is 16.9
16.9+33.8= 50.7, which is .7 more that the capacity of the jar. Hope this helps (=
DO
Below is the graph of a system of two linear equations.
Ay-aus
-9-8-7-5-5
578
x-axs
What system does it represent, and what is the solution of this system?
O y = x - 6 and x + y =
-2; solution = (2, -4)
O
O y = x - 6 and y - x =
y = x - 6 and y - x =
O y = x-6 and x + y =
-2; solution = (2, - 4)
-2; solution = (-4,2)
-2; solution = (-4, 2)
The system of equations represented by the graph is:
y = x - 6
y + x = -2
And the solution is (2, -4), then the correct option is the first one.
What system is represented by the graph?
On the graph, we can see a system of linear equations, we can see a line with a positive slope and a line with a negative slope.
The line with a positive slope intercepts the y-axis at y = -6, then that line is:
y = a*x - 6
with a > 0.
The other line passes through the y-axis at y = -2, then the linear equation is:
y = b*x - 2
Where b < 0.
Also, remember that the solution for the system of equations is the point where the two lines intersect, so we can see that the solution is at (2, -4)
The only option that meets all the criteria is the first option:
y = x - 6
x + y = -2
And the solution is (2, -4)
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Can someone please provide a step-by-step explanation for the answer?
If the universe of discourse is the real numbers, give the truth value of each of the
following propositions:
(a) ∀x∃y(x = y²)
(b) ∀x∃y(x² = y)
(c) ∃x∀y(xy = 0)
(d) ∀x∃y(x + y = 1)
The Propositions are resulting
(a) ∀x∃y(x = y²) is False
(b) ∀x∃y(x² = y) is True.
(c) ∃x∀y(xy = 0) is True.
(d) ∀x∃y(x + y = 1) is True.
(a) ∀x∃y(x = y²)
This proposition states that for every x, there exists a y such that x is equal to y². To determine the truth value, we need to check if this statement holds true for every value of x.
If we take any positive value for x, we can find a corresponding value of y that satisfies the equation.
For example, if x = 4, then y = 2 satisfies the equation since 4 = 2². Similarly, if x = 9, then y = 3 satisfies the equation since 9 = 3².
Therefore, the proposition (a) is false.
(b) ∀x∃y(x² = y)
For any given positive or negative value of x, we can find a corresponding value of y that satisfies the equation.
For example, if x = 4, then y = 2 satisfies the equation since 4² = 2. Similarly, if x = -4, then y = -2 satisfies the equation since (-4)² = -2.
Therefore, the proposition (b) is true.
(c) ∃x∀y(xy = 0)
The equation xy = 0 can only be satisfied if x = 0, regardless of the value of y. Therefore, there exists an x (x = 0) that makes the equation true for every y.
Therefore, the proposition (c) is true.
(d) ∀x∃y(x + y = 1)
To determine the truth value, we need to check if this statement holds true for every value of x.
If we take any value of x, we can find a corresponding value of y that satisfies the equation.
For example, if x = 2, then y = -1 satisfies the equation since 2 + (-1) = 1. Similarly, if x = 0, then y = 1 satisfies the equation since 0 + 1 = 1.
Therefore, the proposition (d) is true.
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5-_=4 pls help.......
Answer:
5 - ? = 4
5- 1 = 4
use simple method ..➪5 - 4 = ?
➪1 = 5-4
➪ 5- 1 = 4
hopes its helps you ..
Which one of the following statements is not true.
A. Soil is the second layer of Earth's crust.
B. Metals can be extracted from minerals.
C. Oil is made from dead plants and animals.
D. Chemical weathering can break down rocks into fragments.
Answer:
I think c sorry if wrong
Step-by-step explanation:
have a good day
Can someone please help me with #13-17?Please,I really need the help.I have been stuck on this for 1 hour and still don't know what to do.
Problem 13
The domain is the set of allowed x inputs. Locate the left-most point. From there, draw a vertical line until you reach the x axis. You should reach x = -3. This is the smallest x value in the domain, and it is included due to the closed circle here. We cannot repeat this for the right-most point because there is no right-most point. The arrow shows the curve goes on forever to the right. So infinity is the largest x value.
In short, x is between -3 and infinity and we write it like so: \(-3 \le x < \infty\)
You could write it also as \(-3 \le x\) or \(x \ge -3\), but the first notation mentioned with infinity seems to be the most descriptive in my opinion. That first notation also can be readily converted to the interval notation \([-3, \infty)\). The square bracket says "include -3" while the curved parenthesis says we exclude infinity. We can never reach infinity, so there's no way to include it. It's not a number. It's a concept.
As for the range, we will do the same idea as before. This time we'll look to the y axis. The highest we can go is y = 3 and we can't actually reach this value due to the open hole here. There is no smallest y value because of the arrow on the curve pointing downward forever.
Therefore, the range is the set of y values between negative infinity and 3, excluding both endpoints. We would say \(-\infty < y < 3\)
Now to the question whether this is a function or not. We can use the vertical line test to check. If it is possible to draw a single vertical line through more than one point on the curve, then we do not have a function. We can see that such a thing would happen for this curve. For instance, draw a vertical line through x = 0 (aka the y axis itself) and we see that two points are on the curve at the same time here. The input x = 0 leads to more than one output. This is one example of infinitely many to see why we do not have a function.
---------------------------
Answers:Domain: \(-3 \le x < \infty\)Range: \(-\infty < y < 3\)Function: No===========================================================
Problem 14
The inputs x span from x = -4 to x = 3, excluding both endpoints due to the open holes. They can be thought of as potholes on the road you don't want to drive on (simply because that portion of the road doesn't even exist).
Therefore, the domain is \(-4 < x < 3\)
The range is \(-3 < y \le 2\) because the lowest y can get is y = -3 and the highest it can get is y = 2. However, we exclude y = -3 itself because of the open hole. We include y = 2.
In contrast to problem 13, we have a function this time. It is impossible to draw a single straight vertical line through more than one point on this V shape curve. This graph passes the vertical line test.
---------------------------
Answers:Domain: \(-4 < x < 3\)Range: \(-3 < y \le 2\)Function: Yes===========================================================
Problem 15
The left-most point occurs when x = -5 and the right-most point is when x = 4. We include both endpoints since there are no open holes here. Every bit of road is defined. The domain is \(-5 \le x \le 4\)
Locate any of the many lowest valley points. Draw a horizontal line until you reach the y axis. You should reach y = -3. Repeat for one of the highest points and you'll get to y = 3. The range is \(-3 \le y \le 3\)
Like problem 14, this graph passes the vertical line test. Therefore, we have a function. Any x input, in the domain mentioned, produces exactly one and only one y output. The key here is "in the domain mentioned". We cannot plug in x values outside this domain.
---------------------------
Answers:Domain: \(-5 \le x \le 4\)Range: \(-3 \le y \le 3\)Function: Yes===========================================================
Problem 16
There's not much different from something like problem 14. The domain here is \(0 < x < 3\) and the range is \(2 < y < 4\)
We have a function because this graph passes the vertical line test.
---------------------------
Answers:Domain: \(0 < x < 3\)Range: \(2 < y < 4\)Function: Yes===========================================================
Problem 17
Same idea as before. The left-most point occurs when x = 0 and the right-most point is when x = 6. Therefore \(0 \le x \le 6\) is our domain here.
The highest point seems to occur at y = 18 based on what the graph says. The lowest point is perhaps when y = -9. These two y values are estimations. So it's possible the range is \(-9 \le y \le 18\)
We have another function here because this curve passes the vertical line test. Only problems 12 and 13 were a non-function. Everything else is a function.
---------------------------
Answers:Domain: \(0 \le x \le 6\)Range: \(-9 \le y \le 18\) Function: YesPLEASE HELP ON QUESTION ASAP !
hi ! I really need help understanding paragraph and I've also added a question about paragraph by me down below . Would like explanation in simple words.
If answers correct I'll rate you five stars a thanks and maybe even brainliest
Paragraph I needed help understanding:
If two or more cells are connected together side by side, the voltage across them is sum of the voltage of each cell. This is because both cells are pushing same way.
My Question about paragraph:
If the sum lets say was 4.5v would every individual cell be worth 4.5 as it says in question ' voltage across them is the sum of voltage of each cell ' or are they each a different value? And how would we be able to find value?.
A to City B. In 5 days, they have traveled 2,075 miles. At this rate, how long will it take them to travel from City A to City B?
In the question, we can draw the conclusion that, according to the formula, it will take them 10 days to get from City A to City B if they continue travelling at their current average speed of \(415 miles\)per day.
What is formula?A formula is a set of mathematical signs and figures that demonstrate how to solve a problem.
Formulas for calculating the volume of \(3D\) objects and formulas for measuring the perimeter and area of \(2D\) shapes are two examples.
A formula is a fact or a rule in mathematical symbols. In most cases, an equal sign connects two or more values. If you know the value of one, you can use a formula to calculate the value of another quantity.
We need to know the average pace at which they went to figure how long it would take to get from City A to City B at the same rate.
total distance / time taken = average speed
\(415 miles\) per day \(2075/ 5\), it would take them \(10\) days to get from City A to City B because
Time taken = \(2075/415\) per days \(= 5 days\)
Therefore it will take them 10 days to get from City A to City B if they continue travelling at their current average speed of \(415 miles\)per day.
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