Ashley and Rod cleaned the house in 4 hours. Rod can clean the houre alone in 2 hours how long will it take for ashley to clean the house alone?
It will take 4 hours for Ashley to clean the house alone.Answer: Ashley will take 4 hours to clean the house alone.
Given:Ashley and Rod cleaned the house in 4 hours. Rod can clean the house alone in 2 hours.To find:How long will it take for Ashley to clean the house alone?Solution:Let's suppose the time Ashley takes to clean the house alone is x hours.Then, Ashley and Rod can clean the house in 4 hours.Thus, using the concept of work, we have:\begin{aligned} \text { Work done by Ashley in 1 hour } + \text { Work done by Rod in 1 hour } &= \text { Work done by Ashley and Rod in 1 hour } \\ \Rightarrow \frac {1}{x} + \frac {1}{2} &= \frac {1}{4} \\ \Rightarrow \frac {2 + x}{2x} &= \frac {1}{4} \\ \Rightarrow 8 + 4x &= 2x \\ \Rightarrow 2x - 4x &= -8 \\ \Rightarrow x &= 4 \end{aligned}Therefore, it will take 4 hours for Ashley to clean the house alone.Answer: Ashley will take 4 hours to clean the house alone.
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Let g represent the total number of hours Greg will travel on his trip across the country to attend his cousin's wedding. The first day he travels 8 hours. The second day he travels 9 hours. The third day he had mechanical problems and only drove 4 hours. Write an algebraic expression to represent how much time he has left to drive.
The algebraic expression to represent how much time he has left to drive as function is given as f(g) = g - 21.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is that Greg will travel on his trip across the country to attend his cousin's wedding. The first day he travels 8 hours. The second day he travels 9 hours. The third day he had mechanical problems and only drove 4 hours.
We can write an algebraic expression to represent how much time he has left to drive as function f(g). We can write -
f(g) = g - (8 + 9 + 4)
f(g) = g - 21
Therefore, the algebraic expression to represent how much time he has left to drive as function is given as f(g) = g - 21.
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There are 504 calories in eight ounces of a certain ice cream. How many calories are there in one pound
Answer:
1008 calories
Step-by-step explanation:
one pound = 16 ounces
16 ÷ 8 = 2
504 × 2 =
1008
Any help can’t get the answer right
Answer:
-2
Step-by-step explanation:
f(x) = 2x, g(x) = x - 4
f(g(3)) = f(-1) = 2(-1) = -2
Find the y-intercept of an equation whose slope is 2 and has the point (1, 5)
Answer:
The y-intercept is 3.
Step-by-step explanation:
I had to use a graph but if you mark the point on the graph. The slope is 2 so you would go up 2 right 1. But you can also do it the opposite way, go down 2 left 1. I hope this helps!
37
The figure shows the positions of three players at a moment of a water polo match. Player A throws the ball to Player B, who then throws the
Player C.
Distance (m)
16
12
00
4
m
0
0
Player A
4
(8,4)
8
Player B
Player C
How far did player A throw the ball?
(18, 7)
12 16 20 24
Distance (m)
Round all answers to the nearest tenth of a meter.
How far did player B throw the ball?
(24, 14)
28 x
Answer:
can you take picture of your questions
Answer: these are the asnwers
Step-by-step explanation: :)
Let F be the radial force field F=xi+yj. Find the work done by this force along the following two curves, both which go from (0,0) to (6,36). (Compare your answers!) A. If C 1
is the parabola: x=t,y=t 2
,0≤t≤6, then ∫ C 1
F⋅dr= B. If C 2
is the straight line segment: x=6t 2
,y=36t 2
,0≤t≤1, then ∫ C 2
F⋅dr=
The force field is given by F = xi + yj. The parabola goes from (0, 0) to (6, 36) and is parameterized as r(t) = ti + t^2j, where 0 ≤ t ≤ 6, and r'(t) = i + 2tj.
The work done by the force along the curve C1 is given by the integral below:∫ C 1 F.dr = ∫ 0 6 F(r(t)).r'(t)dt= ∫ 0 6 (ti + t^3j).(i + 2tj) dt= ∫ 0 6 (t + 2t^4) dt= (t^2/2 + 2t^5/5) [0,6]= 252
The straight line segment goes from (0, 0) to (6, 36) and is parameterized as r(t) = 6ti + 36tj, where 0 ≤ t ≤ 1, and r'(t) = 6i + 36j.
The work done by the force along the curve C2 is given by the integral below:∫ C 2 F.dr = ∫ 0 1 F(r(t)).r'(t)dt= ∫ 0 1 (6ti + 36tj).(6i + 36j) dt= ∫ 0 1 (36t + 216t) dt= (126t^2) [0,1]= 126
Therefore, the answer to the problem is: A. If C1 is the parabola: x = t, y = t^2, 0 ≤ t ≤ 6, then ∫C1 F.dr = 252.B.
If C2 is the straight line segment: x = 6t, y = 36t, 0 ≤ t ≤ 1, then ∫C2 F.dr = 126.
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1. Evaluate each expression. Show your work. (6 points: 2 points for each correct answer with work shown)
B. (9)^1/2 + √25 - 8 ÷ 2 + 3^2
C. 1/2 x 3/5 (2^3 - 6
Please show your work for these 2 expressions.
Answer:
B.) 13
C.) 0.6
Step-by-step explanation:
The order of operations to evaluate these expressions is as follows:
Parentheses
Exponents
Multiplication/Division
Addition/Subtraction
So, for B.)
\(9^\frac{1}{2}+\sqrt{25}-8\div2+3^2\)
This can be rewritten as
\(9^\frac{1}{2}+25^\frac{1}{2}-8\div2+3^2\)
Since there are no parentheses, evaluate the exponents first:
\(3+5-8\div2+9\)
Next, there are no multiplication steps, but there is one division:
\(3+5-4+9\)
To finish, evaluate from left to right:
\(3+5-4+9\\8-4+9\\4+9\\13\)
Follow the same pattern for C.)
\((\frac{1}{2})(\frac{3}{5})(2^3-6)\)
This expression can be rewritten as
\((1\div2)(3\div5)(2^3-6)\)
First, evaluate the expressions in the individual parentheses, keeping in mind the expression \((2^3-6)\) must be evaluated following the same pattern (evaluate the exponent before subtracting six):
\((.5)(.6)(8-6)\\(.5)(.6)(2)\)
To finish, evaluate from left to right:
\((.3)(2)\\.6\)
Hope that helps!
the given set is a basis for a subspace w. use the gram-schmidt process to produce an orthogonal basis for w.
y₁ = [1 -4 0 1] and y₂ = [5 1 -6 -1] is the orthogonal basis for w using Gram-Schmidt process.
Given,
The set;
x₁ = [1 -4 0 1]
x₂ = [7 -7 -6 1]
We have to produce the orthogonal basis for w using the Gram-Schmidt process;
Here,
y₁ = x₁ = [1 -4 0 1]
Now,
Solve for y₂
y₂ = x₂ - [x₂y₁ / y₁y₁] y₁
That is,
y₂ = [7 -7 -6 1] - ( [7 -7 -6 1] [1 -4 0 1] / [1 -4 0 1] [1 -4 0 1] ) × [1 -4 0 1]
y₂ = [7 -7 -6 1] - (7 + 28 - 0 + 1) / (1 + 16 + 0 + 1) × [1 -4 0 1]
y₂ = [7 -7 -6 1] - 36/18 × [1 -4 0 1]
y₂ = [7 -7 -6 1] - 2 × [1 -4 0 1]
y₂ = [7 -7 -6 1] - [2 8 0 2]
y₂ = [5 1 -6 -1]
That is,
The orthogonal basis for w using Gram-Schmidt process is,
y₁ = [1 -4 0 1] and y₂ = [5 1 -6 -1]
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In order for the parallelogram to be a rhombus x = ?
The value of the x is 27.
We have given that the diagram of a rhombus
We have to determine the value of the x
What is the angle of the rhombus?The angle is sitting on a right angle because rhombuses have 4 right angles
90 = 4x-18
108 = 4x
x = 27
Therefore the value of the x is 27.
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Answer: It's 14, not 27.
Step-by-step explanation:
you find a body indoors. the thermostat is set at 70 f. the medical examiner measured the liver temperature at 29.18 0c. how long has the body been dead in hours? (if you are using partial hours, put it in decimal format and round to two decimal places--i.e. 0.5 for 1/2 hour; 0.33 for 1/3 hour, etc. don't use minutes).
The thermostat is set at 70 f. The medical examiner measured the liver temperature at 29.18 0c. The body been dead in 42.351 hours.
The time difference between the death of a body and finding a body is referred to as the post-mortem interval or PMI. It plays a vital role as it aids in determining the exact possible time of the death of the body. It gives us a time frame within which the identification of the human remains could possibly be made.
The liver temperature or rectal temperature is used to determine the true body temperature.
The body heat is lost at the rate of 1.5 degrees every hour. The body temperature of the dead body decreases at a rate of 1.5 degrees per hour.
As per the question, the thermostat is set at 70 F.
The liver temperature is 35.96 degrees Celsius. By converting it into Fahrenheit, it becomes 96.73 F.
F = 29.18×9/5+32
F = 84.524
So, from the normal body temperature, the rectal temperature is subtracted, and the difference is divided by 1.5. It is calculated by using the Glaister equation.
PMI = 98.7 F − dead body temperature / 1.5
PMI = 98.7−84.524/1.5
PMI = 42.351
Thus, the answer is 42.351 hours.
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A cube. the top face has points c, a, b, d and the bottom face has points g, e, f, h. which are right triangles that can be formed using a diagonal through the interior of the cube? select all that apply. triangle ceg triangle aeh triangle cfg triangle bch triangle bfg triangle deg
The correct option are-
A) Triangle CEG
B) Triangle AEH
C) Triangle CFG
E) Triangle BFG
The right triangles that can be formed using a diagonal through the interior of the cube.
What is right angled triangle?A triangle is said to be right-angled if one of its inner angles is 90 degrees, or if any one of its angles is a right angle. The right triangle and 90-degree triangle is another name for this triangle.
Now according to the question,
From the shown figure it is seen that;
A) Triangle CEG:
In this triangle CEG, CG is perpendicular on GE. So, they for right angle at G.
B) Triangle AEH:
In this triangle AEH, AE is perpendicular on EH. So, they for right angle at E.
C) Triangle CFG:
In this triangle CFG, CG is perpendicular in FG. So, they for right angle at G.
E) Triangle BFG:
In this triangle BFG, BF is perpendicular on FG. So, they for right angle at F.
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The correct question is-
A cube. the top face has points A, B, C, D and the bottom face has points E, F, G, h. Which are right triangles that can be formed using a diagonal through the interior of the cube? Select all that apply.
A) Triangle CEG
B) Triangle AEH
C) Triangle CFG
D) Triangle BCH
E) Triangle BFG
F) Triangle DEG
Answer:
B) Triangle AEH
C) Triangle CFG
E) Triangle BFG
F) Triangle DEG
Step-by-step explanation:
Edge 2023
30-6x=2(1-5x) What is X? Show work please.
Answer:
x = -7
Step-by-step explanation:
30 - 6x = 2(1 - 5x)
30 - 6x = 2 - 10x
28 = -10x + 6x
28 = -4x
x = -7
.The price of a MP3 Player decreases from $382 to $261.50.find the percentage decrease in its price
The percent of change = ((new value - old value) / old value) × 100%
Our new value = $261.50
Our old value = $382
Plug our values into the equation above.
(($261.50 - $382) / $382) × 100% = -31.54%
31.55%
Step-by-step explanation:$382 .............. 100%
$261.50 ..............x%
x = 261.50×100/382
= 26150/382
= 68.45%
100% - 68.45% = 31.55%
Find the slope of the line containing the points whose coordinates are (5, −2) and (5, 3).
Answer:
look at the picture i sent........
Kylie went into a grocery store and bought 3 apples and 4 bananas, costing a total of
$6.50. Lily went into the same grocery store and bought 10 apples and 5 bananas,
costing a total of $17.50. Write a system of equations that could be used to determine
the price of each apple and the price of each banana. Define the variables that you use
to write the system.
Answer:
17
Step-by-step explanation:
9w = 4x solve for w
A: w = 4x - 9
B: w = 9/4x
C: w = 4/9x
D: w = 2/3x
Help me!!!!!!!!!!!!!!!
Answer:
k=1
Step-by-step explanation:
5-k+12= 16
5-k= 16-12
5-k= 4
-k=4-5
-k= -1
so, k=1
Conor has $200 available to buy software
packages to run updates on his employee
computers. Each software package has a
price of $12, and Conor will pay a sales tax
of 8% of the total price of the software.
What is the maximum number of software
packages Conor can buy?
Answer:
18
Step-by-step explanation:
The maximum number of software packages Conor can buy is 15.43 .
Using this formula
Maximum number=Cash at hand/[Price+(Price× Sales tax)]
Where:
Cash at hand=$200
Price=$12
Sales tax=8%
Let plug in the formula
Maximum number=$200/[12+(12×8%)]
Maximum number=$200/(12+$0.96)
Maximum number=$200/12.96
Maximum number=15.43
Inconclusion the maximum number of software packages Conor can buy is 15.43 .
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the function f(x)=6x^2-180x=1000 represents the profit f(x) in thousands of dollars of selling x items. what is the meaning of the extreme value?
The extreme value of the function f(x) is the minimum value of the profit, which occurs when x = 15.
How to Determine the Extreme Value?The given function f(x) represents the profit in thousands of dollars of selling x items. To find the meaning of the extreme value, we need to find the critical points of the function, which are the values of x where the derivative of the function is equal to zero or undefined.
The derivative of the given function is:
f'(x) = 12x - 180
Setting f'(x) = 0 to find critical points:
12x - 180 = 0
Solving for x, we get:
x = 15
So, x = 15 is the critical point of the function.
Now, we need to determine whether this critical point is a maximum or a minimum.
To do so, we can use the second derivative test. The second derivative of the given function is:
f''(x) = 12
Since f''(15) = 12 > 0, the critical point x = 15 is a minimum.
Therefore, the extreme value of the function f(x) is the minimum value of the profit, which occurs when x = 15. This minimum value represents the least amount of profit that can be earned by selling the items.
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Find the acute angle between the lines. (using vectors and dot products or something).
2x-y=3 , 3x+y=7
Answer:
2x-y and 3x+y
Step-by-step explanation:
2x-y=3
3x+y=7
I'm not sure...
The diameter of a circle is 18 m. Find its circumference in terms of \piπ
Answer:
18π
Step-by-step explanation:
is this is good picture for an amazing realistic piece for art
Answer:
honest or no?
Step-by-step explanation:
Max has $35 a day to spend, and he can spend as much time as he likes on his leisure pursuits. Windsurfing equipment rents for $10 an hour, and snorkeling equipment rents for $5 an hour. If Max equalizes the marginal utility per hour from windsurfing and from snorkeling, he Select one: A. maximizes his marginal utility per dollar. B. can increase his total utility by spending more time windsurfing and less time snorkeling. C. maximizes his total utility. D. can increase his total utility by spending less time windsurfing and more time snorkeling. E. can increase his total utility only if the price of windsurfing equipment rentals decreases.
Max has $35 a day to spend, and he can spend as much time as he likes on his leisure pursuits. Windsurfing equipment rents for $10 an hour, and snorkeling equipment rents for $5 an hour.
If Max equalizes the marginal utility per hour from windsurfing and from snorkeling, he can increase his total utility by spending less time windsurfing and more time snorkeling. The concept of total utility is based on the entire quantity of products consumed. On the other hand, the marginal utility is dependent on the unit quantity of a commodity consumed. Hence, the relationship between total utility and marginal utility is as follows: Marginal utility refers to the extra satisfaction generated from the consumption of the last unit of the product, whereas total utility refers to the total satisfaction derived from the consumption of all the goods.
According to the given information, Windsurfing equipment costs $10 per hour, and snorkeling equipment costs $5 per hour. Max's budget is $35, and he may devote as much time as he wants to his leisure activities. If Max balances the marginal utility per hour of windsurfing and snorkeling, he can increase his total utility by spending less time windsurfing and more time snorkeling, which is answer (D) can increase his total utility by spending less time windsurfing and more time snorkeling.
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Si una persona de lunes a viernes entrena diariamente 1 hora ¿cuanto tiempo debe entrenar el sábado para que el promedio diario de las horas de entrenamiento de los 6 días sea 1,5 horas?
Answer: 4 horas
Step-by-step explanation:
Una semana (de lunes a viernes) contiene 5 días
Si se entrena 1 hora por día:
1 x 5 = 5 horas (total de horas de entrenamiento de lunes a viernes)
Ese total más el número de horas que se entrena el sábado (x) dividido por 6 (numero de días en la semana incluyendo sábado) debe ser igual a el promedio de horas entrenadas en los 6 días (1.5)
(5+x) /6 =1.5
Despajando x:
5+x =1.5 x 6
5+x =9
x =9-5
x = 4 horas
Let
u
=
[
1 −1 −2
]
,
v
=
[
3 1 −6
]
,
w
=
[
−2 2 6
]
.
(a) Give a geometric description of Span {u, v}. (What does it look like?)
(b) Determine if w is in Span{u, v}
(c) Give a description of Span{u, v, w}. Justify your answer. (Hint: Consider the matrix A whose columns are u, v, and w.)
The span of {u, v} represents a plane in three-dimensional space. w is not in the span of {u, v}. the span of {u, v, w} is the entire three-dimensional space.
(a) The span of {u, v} represents a plane in three-dimensional space. Geometrically, this plane can be visualized as a flat surface extending infinitely in all directions. It includes all possible vectors that can be obtained by scaling and adding u and v. Any vector lying on this plane can be expressed as a linear combination of u and v.
(b) To determine if w is in the span of {u, v}, we need to check if w can be expressed as a linear combination of u and v. We can write w as follows:
w = a*u + b*v
Solving the system of equations formed by equating corresponding components, we have:
-2 = 3a - 2b
2 = -a + 2b
6 = -2a - 6b
Solving this system, we find that there are no values of a and b that satisfy all three equations simultaneously. Therefore, w is not in the span of {u, v}.
(c) The span of {u, v, w} is the entire three-dimensional space. To justify this, we consider the matrix A whose columns are u, v, and w:
A = [u v w] = [1 3 -2; -1 1 2; -2 -6 6]
We can row-reduce matrix A to its echelon form:
[1 3 -2; -1 1 2; -2 -6 6] -> [1 3 -2; 0 4 0; 0 0 0]
The echelon form shows that the columns of A are linearly independent, and they span the entire three-dimensional space. Therefore, any vector in three-dimensional space can be expressed as a linear combination of u, v, and w, indicating that the span of {u, v, w} is the entire three-dimensional space.
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A 30-foot-long support wire for a 16-foot high streetlight runs from the top corner of a building to a point on the ground, forming a straight line. The length of the wire from the top of the building to the top of the street light is 6 feet. How tall is the building?
A. 16 feet
B.20 feet
C. 32 feet
D.48 feet
Answer:
B. 20 feet
Step-by-step explanation:
(30 - 6) = 30 = 16 = x
24 = 30 = 16 = x
4 = 5 = 16 = x
4x = 80
x = 20
You use generally accepted facts (such as: there are approximately 6 billion people on the planet. ) without citing them is it plagiarism?
No, this not plagiarism .You can use generally accepted facts without citing them.
What defines self-plagiarism?
Self-plagiarism is defined as a type of plagiarism in which the writer republishes a work in its entirety or reuses portions of a previously written text while authoring a new work.
What is considered general knowledge in plagiarism?
Common knowledge is typically defined as facts that are unsupported by at least five reliable sources. In the discipline of composition studies, for instance, the statement "Writing is difficult" is taken for granted because at least five reliable sources may support it.How to Avoid plagiarism common knowledge?
Quoting correctly, paraphrasing and summarizing correctly, and documenting (citing) correctly are the keys to providing credit and avoiding plagiarism; you can go to page 3 of this handout for more information. Almost all of the information you discover in outside sources needs to be documented.Learn more about plagiarism
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Thank you so much :)
Answer:
b
Step-by-step explanation:
For a fully discrete whole life insurance of 1000 issued to (x), you are given:
2Ax = 0.08
Ax = 0.2
The annual premium is determined using the equivalence principle.
S is the sum of the loss-at-issue random variables for 100 such independent policies. Calculate the standard deviation of S. (Ans 2500)
The value of the standard deviation of the variance S is equivalent to 250 and the value of the variance (S) is equivalent to 62500.
Given that:
2Ax = 0.08
Ax = 0.2
A fully discrete whole life insurance issued to (x) is 1000.
Firstly we have to find out the value of variance S.
Variance S = (insurance issued)^2 * [2Ax - Ax^2]/(1- Ax)^2
Variance S = (1000)^2 * [0.08 - 0.2^2]/(1- 0.2)^2
Variance S = (1000)^2 * [0.04]/.64
Variance S = (1000)^2 * .0625
Variance S = 62500
Standard deviation of S = (insurance issued) * [\(\sqrt{2Ax - Ax^2}\)]/(1- Ax)
Standard deviation = 1000 * [\(\sqrt{0.08 - 0.2^2}\)]/(1- 0.2)
Standard deviation = 1000 * 0.2/0.8
Standard deviation = 1000 * 1/4 = 250
The value of the standard deviation of the variance S is equivalent to 250 and the value of the variance (S) is equivalent to 62500.
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