Answers
Related Questions
Find the volumes of the solid generated by revolving the regions bounded by the graphs of the graphs of the equations about the given lines:
y=5x2y=0x=3
a) on the y-axis.
b) on the x-axis.
c) on the line y = 45.
d) on the line x = 3.
Answers
Volume of solid generated by revolving the region bounded by the graph is 3817.53 unit
What do you mean by volume of revolution?A volume is created while a plane figure rotating about an axis or around any straight line situated on the same plane.
How to calculate volume of solid generated by revolving the region?We apply definite integration to calculate the required volume.
we are given the equation y = 5x² and y =0, x= 3
volume is calculated by using the formula, V = ∫π y² dx
V = ∫₀³π (5x²) ² dx
On the y-axis x = 0 so upper limit x = 3 and lower limit x= 0
V= π × 25/5 [x⁵] ³₀
V = 15.71 [3⁵- 0]
hence, the volume of solid = 3817.53 unit
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G(x) = 4x - 5, find g(3)
Answers
Answer:
7
Step-by-step explanation:
g(3)=4(3)-5
g(3)=12-5
g(3)=7
Answer:
g(3) = 7
Step-by-step explanation:
Given function:
[tex]g(x)=4x-5[/tex]
To find g(x3) substitute x = 3 into the function:
[tex]\begin{aligned}x=3 \implies g(3)&=4(3)-5\\&=12-5\\&=7\end{aligned}[/tex]
Therefore:
g(3) = 7suppose the relative risk of an outcome given exposure versus non-exposure is unity. determine the percent increased risk rounded to the nearest hundredth of a percent.
Answers
The percentage of higher risk is unaffected by exposure as relative risk in unity.
In order to determine the strength of the relationship between exposures (treatments or risk factors) and outcomes, relative risk is employed in the statistical analysis of data from ecological, cohort, medical, and intervention studies. For instance, in a study looking at how the drug apixaban affected the occurrence of thromboembolism, 8.8% of patients receiving a placebo developed the condition, whereas only 1.7% of patients receiving the medication did. This means that the relative risk is.19 (1.7/8.8), meaning that patients receiving apixaban had 19% the disease risk of patients receiving a placebo. [4] In this instance, apixaban lowers the probability of disease, making it a protective rather than a risk factor.
Values of relative risk can be understood as long as the relationship between the exposure and the result is assumed to be causal.
RR = 1 denotes that the outcome is unaffected by exposure.
When the risk of the outcome is less than 1, this is referred to as a "protective factor."
RR > 1 indicates that the exposure, a "risk factor," has an effect on the outcome's risk.
Therefore, the percentage of higher risk is unaffected by exposure as relative risk in unity.
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A circular field has a diameter of 60 m. So Andi ran around the area 3 times. Then the distance traveled by Andi is .... meters.
Answers
Answer:
565.2 m------------------------------
One full circle is:
C = πdC = 3.14*60 m = 188.4 mThree times the same distance:
188.4 m * 3 = 565.2 mAnswer:
Distance travelled = 565.2 m
Step-by-step explanation:
Formula of circumference,
→ C = 2πr = π × d
The circumference of circle is,
→ π × d
→ (22/7) × 60
→ 1320/7
→ 188.4
Distance traveled after 3 rounds,
→ C × 3
→ 188.4 × 3
→ 565.2 m
Hence, Andi covered 565.2 m.
Solve for x (9x-16) (3x+11) (7x-5)
Answers
9x²-16x(3x+11)(7x-5)
9x²-48x²-176x(7x-5)
9x²-48x²-1232x²+880
-1271x²+880
2. JOY leather, a manufacturer of leather Products, makes three types of belts A, B and C which are processed on three machines M1, M2 and M3. Belt A requires 2 hours on machine (M1) and 3 hours on machine (M2) and 2 hours on machine (M3). Belt B requires 3 hours on machine (M1), 2 hours on machine (M2) and 2 hour on machine (M3) and Belt C requires 5 hours on machine (M2) and 4 hours on machine (M3). There are 8 hours of time per day available on machine M1, 10 hours of time per day available on machine M2 and 15 hours of time per day available on machine M3. The profit gained from belt A is birr 3.00 per unit, from Belt B is birr 5.00 per unit, from belt C is birr 4.00 per unit. What should be the daily production of each type of belt so that the profit is maximum?
a) Formulate the problem as LPM
b) Solve the LPM using simplex algorithm.
c) Interpret the shadow prices
Answers
The number of belts produced must be positive: X1, X2, X3 >= 0
The shadow price of a constraint can be understand as the change in the objective function value for a unit change in the right-hand side (RHS) value of the constraint, with all other variables held constant.
What are constraints?A constraint is a condition of an optimization problem that should be satisfied the condition.
Here we can formulate this problem as a linear programming model (LPM):
Consider X1 be the number of belt A produced per day
Let X2 be the number of belt B produced per day
Let X3 be the number of belt C produced per day
The objective function is to maximize the profit, that is;
3X1 + 5X2 + 4X3.
The constraints are as follows:
The time spent on machine M1 must be less than or equal to 8 hours per day then;
2X1 + 3X2 <= 8
The time spent on machine M2 must be less than or equal to 10 hours per day then;
3X1 + 2X2 + 5X3 <= 10
The time spent on machine M3 must be less than or equal to 15 hours per day then we have
2X1 + 2X2 + 4X3 <= 15
Thus number of belts produced must be positive:
X1, X2, X3 >= 0
To solve this LPM using the simplex algorithm, you can follow these steps:
w In standard form, the objective function is to minimize the cost, and all constraints are in the form of "less than or equal to" a certain value.
The pivot row is the row that corresponds to the smallest positive ratio between the right-hand side (RHS) value and the corresponding pivot column element the constraint 2X1 + 3X2 ≤ 8.
Now Interpret the shadow prices.
The shadow price of a constraint can be understand as the change in the objective function value for a unit change in the right-hand side (RHS) value of the constraint, with all other variables held constant.
It can help to understand the value of the constraints in the LPM and how they contribute to the optimal solution.
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Question 2 of 9
Use the scale to help you solve the equation and find the value of x. Enter the
value of x below.
Y
x+2=7
X =______
Answers
Answer: 5
Step-by-step explanation:
x=7-2
x=5
Answer:
x=5
Step-by-step explanation:
5+2=7 or 7-2=5
48 es un número irracional
Answers
no 48 es un numero irracional
¿Qué es un número irracional?Cualquier número real que no se puede escribir como el cociente de dos números enteros, p/q, donde p y q son ambos números enteros, se denomina número irracional. Por ejemplo, la raíz cuadrada de 2 no se puede expresar como un número entero o una fracción.
Explicación detallada:
48 se puede expresar como [tex]\frac{48}{1}[/tex] aquí se puede ver que la forma p/q está presente. Entonces es un número racional.
no 48 es un numero irracional.
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48 is not an irrational number
What is an irrational number?Any real number that cannot be written as the quotient of two integers, p/q, where p and q are both integers, is called an irrational number. For example, the square root of 2 cannot be expressed as a whole number or a fraction.
Calculation:48 can be expressed as [tex]\frac{48}{1}[/tex] here you can see that the p/q form is present. So it is a rational number.
48 is not an irrational number.
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8. Solve the equation 1/4-2x-7/8=x/2 .
9. Dicson pays $610 for 3 DVDs and 2 blue-ray discs. If the price of each blue-ray disc is $10 less than 2 times that of a DVD, find the price of
(a) a DVD,
(b) 3 blue-ray discs.
Answers
The value of x in the algebraic equation is -1/2 and using system of linear equation to solve the problem, the cost of DVD and blue-ray are 84.3 and 178.6 respectively
Linear EquationThis is a mathematical statement that represent an algebraic problem. It often two expression equating with one another.
8)
1/4 [(-2x - 7) / 8] = x / 2
Multiply through by 1/4
(-2x - 7) / 32 = x / 2
Cross multiply both sides
2(2x - 7) = 32x
4x - 14 = 32x
collect like terms
32x - 4x = - 14
28x = -14
x = -14 / 28
x = - 1/2
9)
To solve this problem, we should write a system of linear equations;
Let;
x = DVDy = blue - ray3x + 2y = 610 ...eq(i)
y - 10 = 2x ...eq(ii)
From equation (ii)
y = 2x + 10 ...eq(iii)
Put eq(iii) into equ(i)
3x + 2(2x + 10) = 610
3x + 4x + 20 = 610
x = 590/7 = 84.3
Put x = 84.3 into equ(ii)
y - 10 = 2(84.3)
y = 1250 / 7
y = 178.6
The cost of DVD is 84.3 and the cost of blue-ray is 178.6
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Look at the diagram
Complete the following sentences.
Angle e= Angle , as they are alternate angles.
Angle f= Angle , as they are alternate angles.
Angles a, b and c add up to °, as they are on a straight line.
Therefore, angles e, f and b also add up to
Answers
Answer:
Angle e = Angle a, as they are alternate angles.
Angle f = Angle c, as they are alternate angles.
Angles a, b, and c add up to 180°, as they are on a straight line.
Therefore, angles e, f and b also add up to 180°.
4. Give a brief summary (two or three sentences) of what you think the Chorus is talking about overall on pages 10, 11 and 12. (3 points)
Answers
Chorus over all view is about love, magic and war and following is the summary of his theme.
What does Chorus says in Antigone?In the chorus, it is stated that "everything but death" has been vanquished by man, hinting at what Antigone will experience. Additionally, they sing of "unsavory ambition," or inordinate pride, which alludes to Creon's terrible fault, or hamartia.
What about Chorus in Oedipus?The chorus in "Oedipus Rex" serves as the voice of the common people and offers perspective that the other characters in the play are unable to express. The chorus advances the plot by introducing new characters and providing answers to issues that arise.
The chorus declares that this play will not be about love, war, or valiant acts. Instead, it will detail the successes and failures of Dr. John Faustus, a German native of humble origins who attends the University of Wittenberg to study philosophy and divinity. He is so good at theology that he finally gets haughty, which is what brings him to ruin. In the end, Faustus decides to research necromancy, or magic.
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A realtor makes 4% commission on the sale of a home. If she sold a home for $250,000, how
much will she make in commission?
Answers
commission = 250,000×4/100
commission = $10,000
Answer:
$10,000
Step-by-step explanation:
because of acom by Jill one GB cb to be yes we will i you and the ward off Luth you sir ma we have in mind the customer service is not available for is it possible to you IJN you and the ward screen shot of a quick response because I am not you sir I am not sure if my proposal sounds interesting for you ma I will send it to u the picture
Does the graph represent a proportional relationship?
graph with a line from 0 comma 0 and going through 10 comma 2
No, it is not proportional because the line does not go through (0, 0).
No, it is not proportional because the graph is curved.
Yes, it is proportional because it is a line that goes through (0, 0).
Yes, it is proportional because the x-axis and y-axis are numbered correctly.
pls help
Answers
Answer:
Yes, it is proportional because it is a line that goes through (0, 0).
Step-by-step explanation:
Answer:
Yes, it is proportional because it is a line that goes through (0, 0).
Step-by-step explanation:
What’s the difference between solving a whole number and a fraction?
There’s these two methods I saw but not sure when I should use them when I do stumble on a problem.
1 method: start by multiply the numerator towards the whole number and once u do then divide the numerator and denominator separately.
2 method: start by giving the whole number a 1 of the denominator and find the lCD of the fraction and start finishing the problem from either adding or subtracting.
Answers
Answer:
hey
Step-by-step explanation:
6 minus radical 2 over 4 simplified
Answers
The response will be -10 if the stated statement is accurate.
What radicals are most prevalent?This same square root and cubed root are the two radicals we see most frequently. Since the square root is so often employed, it is customary to presume that any radical written without the need for an index is a square root. The figure above constitutes a radical taken as a whole.
What does a math radical mean?An phrase that has a root, often a square or cube root, is referred to as a radical. A radical is made up of three main parts, namely: It expresses the degree of radicand multiplication. If the root symbol's numeric component is absent, it is assumed as 2 (square root). The symbol √ means “root of”.
Briefing:= 6 - 4²
= 6 - 16
= - 10
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The correct questions are-
6 - 4²
A company offers cable television at $29.95 per month plus a one-time installation fee. The total cost for the first six months of service is $214.70
Answers
The linear equation that represent the total cost after x month is y = 35 + 29.95x.
What is linear equation?
A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."
Given that, a cable operator offer at $29.95 per month plus a one-time installation fee.
Assume that, a be one time installation fee.
After x month, they need to pay without one-time installation fee is 29.95x.
The total amount that need to pay after x month is a + 29.95x
The linear equation that represents total cost after x month is
y = a + 29.95x
Putting y = 214.70 and x = 6
214.70 = a + 29.95 × 6
214.70 = a + 179.70
a = 35.
Putting a = 35 in y = a + 29.95x
y = 35 + 29.95x
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Hello I have to find the perimeter.
Answers
Answer:
10/3 mile
Step-by-step explanation:
perimeter = 4 × side
perimeter = 4 × 5/6 mile
perimeter = 20/6 mile
perimeter = 10/3 mile
PLEASE HELP ME
Can someone please explain how the "-6000(1+1.1+1.1^2+...+1.1^7)" became "-6000(1.1^8/0.1)"????
Thank you very much
Answers
The answer of the given pattern is 38564.11
What are exponents?The exponents of a number are defined as the representation of a number that shows how many times a number is multiplied by itself.
If we have a^b then 'a' is called base and 'b' is called power or exponent and we call it "a is raised to the power b" (this statement might change from text to text slightly).
We are given the expression as
"-6000(1+1.1+1.1^2+...+1.1^7)"
Using the power series we get;
= -6000(1.1^8/0.1)
After the complete solution the answer is 38564.11
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HELP!! Drag the tiles to the correct boxes to complete the pairs.
Match each rational expression to its simplest form.
Answers
Answer:
Step-by-step explanation:
Hi, I need help with this. Thank you.
Answers
1. The solution to the quadratic equation, x² - 14x + 49 = 40, is x = 13.32 and x = 0.68
2. The solution to the quadratic equation, x² - x = 12, is x = -3 and x = 4
3. i. The factors of 2x² - 15x - 8 = 0 are (2x +1) and (x - 8)
ii. The x-intercepts of 2x² - 15x - 8 = 0 are x = -1/2 and x = 8
Solving Quadratic equationsFrom the question, we are to solve the given quadratic equation by completing the square.
The given equation is
x² - 14x + 49 = 40
Solving the equation
x² - 14x + 49 = 40
x² - 14x = 40 - 49
x² - 14x = -9
Multiply the coefficient of x by 1/2 square and add to both sides
x² - 14x + (-7)² = -9 + (-7)²
(x - 7)² = -9 + 49
(x - 7)² = 40
x - 7 = ±√40
x = 7 ± √40
x = 7 ± 6.32
x = 7 + 6.32 OR 7 - 6.32
x = 13.32 OR 0.68
Solving x² - x = 12 by factoring
x² - x = 12
x² - x - 12 = 0
x² -4x + 3x - 12 = 0
x(x - 4) + 3(x - 4) = 0
(x + 3)(x - 4) = 0
x + 3 = 0 OR x - 4 = 0
x = -3 OR x = 4
Determining the factors of 2x² - 15x - 8 = 0
2x² - 15x - 8 = 0
2x² - 16x + x - 8 = 0
2x(x - 8) + 1(x - 8) = 0
(2x + 1)(x - 8) = 0
The factors are (2x +1) and (x - 8)
Determining the x-intercepts
(2x + 1)(x - 8) = 0
2x + 1 = 0 and x - 8 = 0
2x = -1 and x = 8
x = -1/2 and x = 8
Hence, the x-intercepts are -1/2 and 8
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Select all of the following equations that are true when 3.27 is used. Use number sense to help.
□ ÷ 1,000 = 0.0327
□ ÷ 102 = 0.327
□ ÷ 1 = 3.27
□ ÷ 10 = 0.327
□ ÷ 100 = 3.27
Answers
Answer:
The following equations are true when 3.27 is used:
÷ 1,000 = 0.0327
÷ 10 = 0.327
÷ 100 = 3.27
Note that the equations ÷ 102 and ÷ 1 are not true when 3.27 is used. The equation ÷ 102 is not true because 102 is not a multiple of 1,000, so dividing 3.27 by 102 will not result in a value that is close to 0. The equation ÷ 1 is not true because it is simply stating that 3.27 divided by 1 is equal to 3.27, which is true but not very interesting or useful.
What is f(2) for the function f(x)=6x+8?
Answers
Answer: 20
Step-by-step explanation:
x = 2
6(2)+8 = 20
Answer: 20
Step-by-step explanation:
f(2)= 6(2)+8
=20
plug in x with 2
Find the slope from the line of best fit y = 5 - 3x.
Answers
Answer:
slope = -3
Step-by-step explanation:
⭐ What is the equation of a line in slope intercept form?
[tex]y = mx+b[/tex]m is the slope. It is always multiplied with the variable (x)b is the y-intercept. It is always the term without a variableThe given line of best fit is written in slope-intercept form. All we have to do is identify which term is the slope.
[tex]y = -3x + 5[/tex]
-3 is the coefficient of x. Therefore, -3 is the slope.
Step-by-step explanation:
What is the equation of a line in slope
intercept form?
mr + b
m is the slope. It is always multiplied with
the variable (x)
b is the y-intercept. It is always the term
without a variable
The given line of best fit is written in slope-
intercept form. All we have to do is identify
which term is the slope.
Y
-30+5
-3 is the coefficient of x. Therefore, -3 is
the slope.
Dr. Bert Vogelstein and his partners study the causes of cancer. In 2017, they published a study of 32 types of cancer. The study concluded that most cancer cases are caused by DNA replication errors. In fact, 66% of the cancer cases they studied were caused by random DNA replication errors. Environmental factors such as diet, sunburns, and smoking caused 29% of the cancers. The last 5% of cancers in the study were caused by inherited factors. What happens as a result of DNA replication? 0
A. A blueprint is transferred from the nucleus to the ribosome.
B. mRNA encodes a message from DNA. O
C. A chromosome with two identical DNA strands is formed. O
D. A protein is formed.
Answers
The result of DNA replication, given the fact that most cancer cases came as a result of DNA replication errors, is C. A chromosome with two identical DNA strands is formed.
What is a DNA replication ?The biological process of creating two identical copies of DNA from a single original DNA molecule is known as DNA replication.
After this process is complete and all the DNA has been copied, the cell actually has twice as much DNA as it needs, which it can then divide and parcel into the daughter cell, resulting in the daughter cell and the mother cell being nearly genetically identical in many cases.
Sometimes however, there will be errors in DNA replication, and this can lead to things like cancer as shown by Dr. Bert Vogelstein.
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Anna has 7,209 cans of soup that need to be boxed. If she puts 9 cans of soup in 1 box, how many boxes will she need.
Answers
Answer:
Anna needs 801 boxes.
Step-by-step explanation:
You need to know how many groups of 9 are in 7209.
Use division to find this answer.
7209 ÷ 9 = 801
Anna needs 801 boxes.
A line with a slope of 4 and passes through (2, 4) What is the equation of the line in slope intercept form (y = mx + b) ?
Answers
The equation of line in slope in intercept form will be equal to y = 4x - 4.
What is slope?It is possible to determine a line's direction and steepness by looking at its slope. Finding the slope between lines inside a coordinate plane can aid in anticipating if the lines are perpendicular, parallel, or none at all without physically using a compass.
As per the data provided in the question,
The formula for a line is y = mx + b, where m denotes the slope and b the y intercept.
So,
The equation can be written as,
y = 4x + b
As per the given point (2, 4),
4 = 4(2) + b
b = 4 - 8
b = -4
So, the final equation will be,
y = 4x - 4
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when finding 6.1/0.1, how is the decimal point moved?
Answers
The decimal point can be removed by dividing 10 with each numerator and denominator of 6.1/0.1
(61/10)/(1/10) = 61/10 x 10 = 61
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
6.1/0.1
We will remove the decimal point by dividing 10 with both the numerator and denominator.
(61/10)/(01/10)
= 61/10 x 10/1
= 61/1
= 61
Thus,
The value of 6.1/0.1 is 61.
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Cindy is a travel agent. She receives a 9% commission based on the value of the trips she books. Today she spent eight hours arranging a $9,300 cruise for a newlywed couple. 19. How much commission did she earn? 20. What was her mean hourly pay for the work she did?
Answers
Cindy was able to make $837 in commission thanks to her commission rate, which equates to $104.62 per hour.
What is the explanation?Cindy is a travel agent. She receives a 9% commission based on the value of the trips she books. Today she spent eight hours arranging a $9,300 cruise for a newlywed couple
The commission that Cindy received can be determined by:
= Commission % x Price of booked trip
= 9% x 9,300
= $837
Consequently, the following is her hourly wage:
= Commission received / Hours worked
= 837 / 8
= $104.62
The bottom line is that made $104.62 per hour plus $837 in commission.
Cindy was able to make $837 in commission thanks to her commission rate, which equates to $104.62 per hour.
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Determine the surface area of the cylinder. (Use π = 3.14)
net of a cylinder where radius of base is labeled 5 inches and a rectangle with a height labeled 4 inches
157 in2
219.8 in2
282.6 in2
314 in2
Answers
Answer:
282.6in^2
Step-by-step explanation:
Surface area of a cylinder = 2πrh+2πr^2
plugging in r=5 and h=4 gives
2π20+2π25
40π+50π = 90π
90*3.14=282.6in^2
Which equation represents the line that passes through points (0, 6) and (2, 0)?
O y=-x+2
O y=-x+6
X+
Oy=-3x+2
O y=-3x+6