Answer:
69
Step-by-step explanation:
-5 = -y - 3x
Write the equation in slope-intercept form. Please help me. :)
Answer:
y = -3x + 5
Step-by-step explanation:
You want it in y = mx + b form
-5 = -y - 3x
Add y to both sides
-5 + y = -y + y - 3x
-5 + y = -3x
Add 5 to both sides
- 5 + 5 + y = -3x + 5
y = -3x + 5
If you could have one superpower, what would it be and why?
Answer:
I would have to reverse time
Step-by-step explanation:
so I can see my grandma that had passed away 2 days ago :C
Answer:I would want to be able to move things with my hands.
Step-by-step explanation:
An electronics firm manufacture two types of personal computers, a standard model and a portable model. The production of a standard computer requires a capital expenditure of $400 and 40 hours of labor. The production of a portable computer requires a capital expenditure of $250 and 30 hours of labor. The firm has $20,000 capital and 2,160 labor-hours available for production of standard and portable computers.
b. If each standard computer contributes a profit of $320 and each portable model contributes profit of $220, how much profit will the company make by producing the maximum number of computer determined in part (A)? Is this the maximum profit? If not, what is the maximum profit?
(A) The maximum profit for standard model is $28,480. (B)The maximum profit for portable model is $28,480.
The given problem is related to profit maximization and a company that manufactures two types of personal computers, a standard model, and a portable model. Production requires capital expenditure and labor hours, and the firm has limited resources of capital and labor hours available.
Part A:
We can use linear programming to find the optimal solution.
Let x and y be the number of standard computers and portable computers manufactured, respectively.
We have the following objective function and constraints:
Objective Function: Profit = 320x + 220y
Maximize profit (z)Subject to:400x + 250y ≤ 20,000 (Capital expenditure constraint)
40x + 30y ≤ 2,160 (Labor hours constraint)where x and y are non-negative.
Using these inequalities, we can plot the feasible region as follows:
graph{(20000-400x)/250<=(2160-40x)/30 [-10, 100, -10, 100]}
The feasible region is a polygon enclosed by the lines 400x + 250y = 20,000, 40x + 30y = 2,160, x = 0, and y = 0.
Now, we need to find the corner points of the feasible region to determine the maximum profit that the company can make by producing the maximum number of computers.
To do so, we can solve the system of equations for each pair of lines:400x + 250y = 20,000 → 4x + 2.5y = 200, 40x + 30y = 2,160 → 4x + 3y = 216, x = 0 → x = 0, y = 0 → y = 0
The corner points of the feasible region are (0, 72), (48, 60), and (50, 0).
We can substitute these values into the objective function to determine the maximum profit:
Profit = 320x + 220y = 320(0) + 220(72) = $15,840 (at point A),
320(48) + 220(60) = $28,480 (at point B),
320(50) + 220(0) = $16,000 (at point C).
Therefore, the maximum profit is $28,480, which can be obtained by producing 48 standard computers and 60 portable computers.
Part B:
Each standard computer contributes a profit of $320 and each portable computer contributes a profit of $220.
To find out how much profit the company will make by producing the maximum number of computers determined in part A, we can use the following formula:
Profit = 320x + 220ywhere x = 48 (number of standard computers) and y = 60 (number of portable computers)
Substituting these values, we getProfit = 320(48) + 220(60) = $28,480
Therefore, the company will make a profit of $28,480 by producing the maximum number of computers determined in part A.
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In a single row of yellow, green and red colored tiles, every red tile is preceded immediately by a yellow tile and every yellow tile is preceded immediately by a green tile. What color is the 24th tile in the row
In a single row of yellow, green and red colored tiles, every red tile is preceded immediately by a yellow tile and every yellow tile is preceded immediately by a green tile.
What color is the 24th tile in the row?The pattern of color in the row is Green - Yellow - Red - Green - Yellow - Red - Green - Yellow - Red - Green - Yellow - Red and so on...Here, Green and Red will always appear at odd positions and Yellow will always appear at even positions.In order to find the 24th tile in the row, we can first find out the color of tile 23 and 22.23rd tile is Red, as it is preceded immediately by Yellow and Yellow is preceded immediately by Green.22nd tile is Yellow, as it is preceded immediately by Green and Green will appear at all even positions.
Now we know that the 24th tile comes immediately after the 23rd tile which is Red. So the color of the 24th tile will be Green. Hence, the answer is Green.
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What is the value of 12.5(- 2¾)
Answer:
9.75
Step-by-step explanation:
1 euro = $1.09 $1= 62 rupees Change 400 euros into rupees using these exchange rates.
Answer:
27,032 Rupees
Step-by-step explanation:
$1.09 x 400 = $436
$436 x 62 = 27,032
(Hope this helps and that it's not wrong ^-^)
Pls help all questions
1 and 2
Answer:
Question 1
Ordered pair (2, -3) satisfies y ≥ x - 5 but does not satisfy y ≤ 2x-8
Question 2
Ordered pair (0,4) does satisfy both inequalities:
y ≤ -x + 4 and y ≥ 5x - 3
Step-by-step explanation:
Question 1
The ordered pair is (2, -3); therefore x = 2, y = -3
Plug these values into the left and right side of each inequality and see if these values satisfy the inequality
For y ≥ x - 5
LHS = -3, RHS = 2 - 5 = -3
Is -3 ≥ -3? Of course; in fact it is = and it only need to satisfy either = or >
For y ≤ 2x-8
LHS = -3, RHS = 2(2) - 8 = 4 - 8 = -4
Is -3 ≤ -4? NO. -3 is greater than -4
(remember in negative numbers -4 lies further to the left than -3 on the number line so -4 is less than -3)
Question 2
Given ordered pair is (0,4)
For y ≤ -x + 4
LHS = 4, RHS = -0 + 4 = 4
Is 4 ≤ 4? YES
For y ≥ 5x -3
LHS = 4, RHS = 5(0) -3 = 0 - 3 = -3
Is 4 ≥ -3? Of course. All positive numbers are greater than negative numbers
What is the length of the midsegment of this trapezoid? enter your answer in the box. Units.
The length of the midsegment of this trapezoid is 8 units. Mid segment of a trapezoid is equal to half of sum of its two parallel sides.
What is Mid segment?A midsegment of a triangle is defined as a line segment that connects the midpoints or center of two opposite sides of a triangle or adjacent sides of a triangle. The midsegment theorem is defined as a line segment that joins the midpoints of any two sides of a triangle is parallel to the third side of a triangle and is half of it.
The converse of the midsegment theorem states that When a line segment joins two midpoints of two opposite sides of a triangle and is parallel to the third side of a triangle.
So,
Length of mid segment = 1/2(AB+CD)
Applying distance formula,
AB = \(\sqrt{(7-2)^{2} + (4-4)^{2} }\) = \(\sqrt{5^{2} + 0 }\) = 5
CD = \(\sqrt{(9+2)^{2} + (-1+1)^{2} }\) = \(\sqrt{11^{2} + 0 }\) = 11
Hence,
the length of mid-segment = 1/2(5 + 11) = 1/2(16).
⇒ length of mid-segment = 8 unit.
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need help please. will give brainliest. what is 3x+y
Answer:
3x+y
Step-by-step explanation:
It's already in simplest form, you can't do anything else to it.
The expression -x^2 + 70x -600 represents a companys profit for selling x items. For which number of items sold is the companys profit equal to zero?
Answer:
Step-by-step explanation:
-x² + 70x - 600
If we multiply all by -1, we have
x² - 70x + 600
If we factorise this, we have
x² - 10x - 60x + 600
x(x - 10) - 60(x - 10)
(x - 10) (x - 60)
x = 10
x = 60
If the company sells 10, or 60 items, their profit is 0
6 yd, 1 ft = ___ ft
A) 7
B) 12
C) 19
D) 36
.<. plz halp
Given points A(-1,4) and B(x,7), determine the value(s) of x if AB=5cm
The value of x is either 3 or -5 based on the distance formula.
What is a co-ordinate system?
In pure mathematics, a coordinate system could be a system that uses one or additional numbers, or coordinates, to uniquely confirm the position of the points or different geometric components on a manifold like euclidean space.
Main body:
according to question
Given points A(-1,4) and B(x,7)
Also AB = 5 cm
Formula of distance = \(\sqrt{(y1-y2)^{2}+(x1 -x2)^{2} }\)
here by using points ,
5 = \(\sqrt{(x+1)^{2} +(7-4)^{2} }\)
taking square on both side ,'
25 = \((x+1)^{2} +3^{2}\)
25-9 = (x+1)²
16 = (x+1)²
taking square root on both sides,
x+1= ±4
x = 4-1 = 3 or x = -4-1 = -5
Hence value of x is either 3 or -5.
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monitors manufactured by tsi electronics have life spans that have a normal distribution with a standard deviation of 1300 hours and a mean life span of 15,000 hours. if a monitor is selected at random, find the probability that the life span of the monitor will be more than 17,340 hours. round your answer to four decimal places.
The probability that the life span of the monitor will be more than 17,340 hours is approximately 0.0359, rounded to four decimal places.
We can use the standard normal distribution to solve this problem by standardizing the value of 17,340 hours to a z-score:
z = (17340 - 15000) / 1300 = 1.8
Using a standard normal distribution table or calculator, we find that the probability of getting a value greater than 1.8 is 0.0359.
Therefore, the probability that the life span of the monitor will be more than 17,340 hours is approximately 0.0359, rounded to four decimal places.
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Chris still makes a base salary of $150 per week but her commission this week is a graduated rate of 2.5% on the first $1,000 and 3.5% for all sales over $1,000 her sales this week were again $1,500
Answer:
$33190 per year (US dollars per year) (2009)
Local currency conversion:
Au$42890 per year (Australian dollars per year) (19/03/2021)
History:
History
Employment summary:
people employed | 130.648 million people
yearly change | -4.538 million people (-3%)
workforce fraction | 100% (1 in 1)
median wage | $33190 per year (US dollars per year)
median wage yearly change | +$800 per year (US dollars per year) (+2%)
50% range | $(21940 to 52920) per year
80% range | $(17140 to 81160) per year
(2009 data)
Step-by-step explanation:
simplify the expression
-7(3e-2f+4)+6e-2
Answer: here it is 14f-30-15e
What is the diameter of a hemisphere with a volume of 7195\text{ in}^3,7195 in 3 , to the nearest tenth of an inch?.
The diameter of a hemisphere with a volume of 7195 in^3 is 117.2 in.
In the given question we have to find the diameter of a hemisphere with a volume of 7195 in^3.
As we know that the volume of hemisphere is (2/3)πr^3 cubic unit.
The given volume of hemisphere is 7195 in^3.
Now we firstly finding the radius of hemisphere then we find the diameter of hemisphere
The volume of hemisphere = 7195 in^3
(2/3)πr^3 = 7195
We know that; π = 22/7
(2/3) * (22/7) *r^3 = 7195
44/21 * r^3 = 7195
Multiply by 21/44 on both side, we get
r^3 = 7195*21/44
r^3 = 3433.98
r^3 = 3434 (approx)
Taking cube root on both side, we get
r = 58.60
Now finding the diameter,
Diameter = 2*radius
Diameter = 2*58.60
Diameter = 117.2
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Answer: 30.2
Step-by-step explanation:
14390=(4/3π)r^3
14390=(4.1887902)r^3
14390/4.1887902=(4.1887902)r^3/4.1887902
3435.3594466=r3
15.0888936=r
What is 174,000 in science notation
Answer:
1,5,3 your welcome
Step-by-step explanation:
What is the constant term of -3x² - 7x + 2?
Answer:
2
a=-3 , b=-7 , c=2
a=quadratic term
b=linear term
c=constant term
The parabola with the vertex at (5,5) and a focus (7,5) would open
Answer:
Up. The focus is above the vertex meaning the parabola will open up. If the focus was below the parabola then it would open down.
Step-by-step explanation:
Eric makes a fruit salad. He uses 12 cup blueberries, 23cup strawberries, and 34 cup apples.
How much fruit did Eric use in all?
To find the total amount of fruit Eric used, we need to add together the amounts of blueberries, strawberries, and apples.
Blueberries: 12 cups
Strawberries: 23 cups
Apples: 34 cups
To find the total amount of fruit, we add these quantities:
Total amount of fruit = 12 cups + 23 cups + 34 cups
Performing the addition:
Total amount of fruit = 69 cups
Therefore, Eric used a total of 69 cups of fruit in his fruit salad.
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determine the critical load of a round wooden dowel that is 0.75 m long. use e = 12 gpa. the diameter of the round wooden dowel is 10 mm. the critical load is n.
the critical load of the round wooden dowel is determined by using the Euler buckling formula, which is given by:
P_cr = (π^2 * E * I) / L^2
Where P_cr is the critical load, E is the modulus of elasticity (given as 12 GPa), I is the area moment of inertia (for a round wooden dowel it is π*d^4/64), and L is the length of the dowel (given as 0.75 m). Substituting these values, we get:
P_cr = (π^2 * 12e9 * π*(10/1000)^4/64) / (0.75^2)
P_cr = 91.34 N
Therefore, the critical load of the round wooden dowel is 91.34 N.
In explanation, the Euler buckling formula is used to determine the critical load of slender columns or rods that are subjected to compressive forces. The formula takes into account the modulus of elasticity of the material, the length of the column, and the area moment of inertia of the cross-section. The critical load is the maximum load that the column can withstand without buckling or collapsing under compressive forces.
the critical load of the round wooden dowel with a diameter of 10 mm and a length of 0.75 m is 91.34 N, which is the maximum load that the dowel can withstand without buckling or collapsing under compressive forces.
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Isaac records the following temperatures (in degrees fahrenheit) at noon during one week: 87, 88, 84, 86, 88, 85, 83 these temperatures do not contain an extreme value. which measure of center should isaac use to describe the temperatures? please help i will try to give brainliest, im new to this
Therefore, Isaac should use the arithmetic mean to describe the temperatures recorded at noon during the week.
To describe the temperatures recorded by Isaac during one week, we need to choose an appropriate measure of center. The measure of center provides a representative value that summarizes the central tendency of the data.
In this case, since the temperatures do not contain an extreme value and we want a measure that represents the typical or central value of the data, the most suitable measure of center to use is the arithmetic mean or average.
The arithmetic mean is calculated by summing all the values and dividing the sum by the number of values. It provides a balanced representation of the data as it considers every observation equally.
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forecasts based on mathematical formulas are referred to as qualitative forecasts. group of answer choices true false
False. Forecasts based on mathematical formulas are not referred to as qualitative forecasts. Qualitative forecasts are based on subjective judgments, opinions, or expert insights rather than mathematical formulas.
These forecasts rely on qualitative data such as surveys, interviews, or expert opinions to make predictions. Qualitative forecasting techniques are often used when there is limited historical data available or when factors such as human behavior, market trends, or social factors play a significant role in the forecast. On the other hand, forecasts based on mathematical formulas are referred to as quantitative forecasts.
These forecasts use mathematical models, statistical techniques, and historical data to make predictions. Examples of quantitative forecasting methods include time series analysis, regression analysis, and exponential smoothing.
It is important to distinguish between qualitative and quantitative forecasts as they utilize different approaches and data sources to make predictions. Therefore, the statement that forecasts based on mathematical formulas are referred to as qualitative forecasts is false.
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A furniture company is ordering screws. The company uses 37 screws to make each table and 14 screws to make each chair. The company needs to order screws for 12 tables and 48 chairs.
Which answer is the most reasonable estimate of the total number of screws they need to order?
Answer:
they need exactly 896 screws, 244 for tables and 652 for chairs, since it says reasonable estimate I would say 900, but again the exact amount it 896. I hope this helps.
Step-by-step explanation:
PLZ HELP MEEE!!!
Sheila has sketched a net for a cylinder as shown below.
What is the closest to the total surface area of her cylinder?
A. 141 in2
B. 68 in2
C. 198 in2
D. 297 in2
To get the total number of iterations in a nested loop, add the number of iterations in the inner loop to the number of iterations in the outer loop.
True
False
It is False that by adding the number of inner loops , we get the total number of iterations.
A loop is defined as a segment of code that executes multiple times. Iteration refers to the process in which the code segment is executed once. One iteration refers to 1-time execution of a loop. A loop can undergo many iterations.
There are 3 types of iteration: tail-recursion, while loops, and for loops. We will use the task of reversing a list as an example to illustrate how different forms of iteration are related to each other and to recursion. A recursive implementation of reverse is given below.
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write the general form of the equation of a line that is parallel to the given line and passes through the given point. y+2= -(x+1); (-2,6)
Answer:
y = -x + 4
Step-by-step explanation:
y + 2 = -x - 1
y = - x - 1 - 2
y = -x - 3
Point: (-2,6)
Slope -1
y-intercept: 6 - (-1)(-2)
= 6- 2 = 4
The base of a solid S is the region enclosed by the graph of y=√ln(x), x=e, y=0. If the cross section of S perpendicular to the x-axis are squares, determine the volume V, of S.1) 1 cu. units.2) 13(e3−1) cu. units.3) 12 cu.units.4) 23 cu.units.5) 2(e3−1) cu.units.
The volume V of solid S is e - 1 cubic unit.
What is Volume?
Volume refers to the measure of three-dimensional space occupied by an object or a region. It quantifies the amount of space enclosed by the boundaries of an object or contained within a given region. In mathematical terms, volume is often calculated by integrating the cross-sectional areas of the object or region along a particular axis. Volume is typically expressed in cubic units, such as cubic meters (m^3) or cubic centimeters (cm^3). It is an essential concept in geometry, physics, engineering, and other scientific fields where the measurement of three-dimensional space is involved.
To find the volume of solid S, we need to integrate the areas of the cross sections perpendicular to the x-axis along the interval \([e, \infty).\)
The area of each square cross-section is equal to the square of the side length, which in this case is \(y = \sqrt{\ln(x)}.\)
Therefore, the volume V of solid S can be calculated as:
\(V = \int_{e}^{\infty} (\sqrt{\ln(x)})^2 dx\)
To evaluate this integral, we can simplify the expression:
\(V = \int_{e}^{\infty} \ln(x) dx\)
Using integration by parts, we let \(u = \ln(x)\)and dv = dx:
\(du = \frac{1}{x} dx\\v = x\)
Applying the integration by parts formula:
\(V = [uv] - \int v du= [x \ln(x)] - \int x \left(\frac{1}{x}\right) dx= x \ln(x) - \int dx= x \ln(x) - x + C\)
Evaluating the definite integral:
\(V = [x \ln(x) - x]_{e}^{\infty}= (\infty \cdot \ln(\infty) - \infty) - (e \cdot \ln(e) - e)= \infty - 0 - (1 - e)= e - 1\)
Therefore, the volume V of solid S is e - 1 cubic unit.
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Find a vector function, r (t), that represents the curve of intersection of the two surfaces. The cone z = squareroot x^2 + y^2 and the plane z = 3 + y r (t) =
The vector function that represents the curve of intersection of the cone and the plane is:
r(t) = [t, (t^2 - 9) / 6, √(t^2 + ((t^2 - 9)/6)^2)]
For a vector function that represents the curve of intersection between the cone and the plane, we need to set the equations of the cone and the plane equal to each other and solve for x, y, and z.
The cone equation is given as: z = √(x^2 + y^2)
The plane equation is given as: z = 3 + y
Setting these two equations equal to each other, we have:
√(x^2 + y^2) = 3 + y
To eliminate the square root, we can square both sides of the equation:
x^2 + y^2 = (3 + y)^2
x^2 + y^2 = 9 + 6y + y^2
Simplifying the equation, we have:
x^2 - 6y = 9
Now we can express x and y in terms of a parameter t to create the vector function r(t):
x = t
y = (t^2 - 9) / 6
Substituting these values back into the cone equation to find z:
z = √(x^2 + y^2) = √(t^2 + ((t^2 - 9)/6)^2)
Therefore, the vector function that represents the curve of intersection of the cone and the plane is:
r(t) = [t, (t^2 - 9) / 6, √(t^2 + ((t^2 - 9)/6)^2)]
Note that this is a parametric representation of the curve, where t is the parameter that determines points on the curve.
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write the slope intercept form of the equation of each line
Answer:
#2 y=3/2x-3 #4 y=3/1x-5
Step-by-step explanation:
y=mx+b
b=y-intercpet
where on the why axis does it touch?
m=slope
rise over run
slants right positive
slants left negative