What if a fence painting competition allowed pairs to compete? If Ben Rogers can paint the fence in 8 min on his own and Johnny Miller can paint it in 6 min, then how long would it take them working together?
If Ben can paint a single coat of the fence in 8 min, then how much of the fence could Ben paint in 1 min?
If Johnny can paint a single coat of the fence in 6 min, then how much of the fence could Johnny paint in 1 min?
If Ben and Johnny work together to paint a single coat of the fence, then let t represent the amount of time they each spend painting. What operation should be used to set up an equation that represents how long they would take to paint a single coat of the fence?
Solve the equation for t. How long will it take Ben and Johnny to paint the fence? Round your answer to the nearest tenth of a minute.
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Answer:
I'm confused on what it's asking
Step-by-step explanation:
Related Questions
Help due asap show workings please
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Is the pair of equations y 0 and y =- 7 will have?
Answers
No Solution.
Since, the x-axis (equation y=0) does not intersect y=-7 at any point. The given pair of equations has no solution
Three Types of Solutions of a System of Linear EquationsConsider the pair of linear equations in two variables x and y.
a1x + b1y + c1 = 0
a2x + b2y + c2 = 0
Here a1, b1, c1, a2, b2, c2 are all real numbers.
Note that, a12 + b12 ≠ 0, a22 + b22 ≠ 0
1. If (a1/a2) ≠ (b1/b2), then there will be a unique solution. If we plot the graph, the lines will intersect. This type of equation is called a consistent pair of linear equations.
2. If (a1/a2) = (b1/b2) = (c1/c2), then there will be infinitely many solutions. The lines will coincide. This type of equation is called a dependent pair of linear equations in two variables
3. If (a1/a2) = (b1/b2) ≠ (c1/c2), then there will be no solution. If we plot the graph, the lines will be parallel. This type of equation is called an inconsistent pair of linear equations.
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Find the generating function of the sequence {an}n≥0 determined by an = an−1 + 6an−1 with initial conditions a0 = 1, a1 = 3. You need to find the closed form of the generating function, but you don’t need find the closed form of the coefficients.
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The generating function for the sequence {an} is given by a(x) = (1 + 2x) / (1 - x - 6x^2). It captures the terms of the sequence {an} as coefficients of the powers of x.
To find the generating function of the sequence {an}, we can use the properties of generating functions and solve the given recurrence relation.
The given recurrence relation is: an = an-1 + 6an-2
We are also given the initial conditions: a0 = 1 and a1 = 3.
To find the generating function, we define the generating function A(x) as:
a(x) = a0 + a1x + a2x² + a3x³ + ...
Multiplying the recurrence relation by x^n and summing over all values of n, we get:
∑(an × xⁿ) = ∑(an-1 × xⁿ) + 6∑(an-2 × xⁿ)
Now, let's express each summation in terms of the generating function a(x):
a(x) - a0 - a1x = x(A(x) - a0) + 6x²ᵃ⁽ˣ⁾
Simplifying and rearranging the terms, we have:
a(x)(1 - x - 6x²) = a0 + (a1 - a0)x
Using the given initial conditions, we have:
a(x)(1 - x - 6x²) = 1 + 2x
Now, we can solve for A(x) by dividing both sides by (1 - x - 6x^2²):
a(x) = (1 + 2x) / (1 - x - 6x²)
Therefore, the generating function for the given sequence is a(x) = (1 + 2x) / (1 - x - 6x²).
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Find x of the problem
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There is no real solution for X. This means that the given measurements do not form a valid right triangle.
What is the value of X?
Triangle KJL forms a right triangle, with length KL (hypothenuse side) = 10 and JL = X and KL = 24.
We can use the Pythagorean theorem to solve for the missing side, which states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.
Therefore, we have:
KL² = KJ² + JL²
Substituting the given values, we get:
10² = 24² + X²
Simplifying and solving for X, we get:
100 = 576 + X²
X² = 100 - 576
X² = -476
Since X² is negative, there is no real solution for X. This means that the given measurements do not form a valid right triangle.
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a section of a circular design. the drawing shows the measurements in a section of a circular design. how long is the radius of the circle? f 8.7 cm g 10 cm h 7 cm j 4.3 cm
Answers
10 cm length is the circle's radius when the measurements are depicted in a segment of a circular design on the drawing.
Given that,
The measurements are depicted in a segment of a circular design on the drawing.
We have to find what length is the circle's radius.
We know that,
Let us take the up line as AB and the perpendicular line is OP.
So,
In ΔOPB
∠P=90°
PB=5cm
OP is perpendicular to AB.
Sin30° = PB/OB
1/2=5/OB
OB=5×2
OB=10
Therefore, 10 cm length is the circle's radius when the measurements are depicted in a segment of a circular design on the drawing.
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if two angles are vertical what is the m 2x+7= m 4x-14=m
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if two angles are vertical what is the m = 28.
What a vertical angle?
Any of the two angles that are situated on the opposing sides of two crossing lines.Two angles whose combined angles equal 90. two angles with sums of 180 degrees.A pair of angles that are vertically opposed to one another are always equal. Additionally, a vertical angle and the angle to which it is adjacent are supplementary angles, meaning their sum is 180 degrees. When two lines join to form an angle, say X=45°, the opposite angle is also 45°, for instance.if two angles are vertical
Then
m 2x+7= m
4x-14=m
So,
2x+7 = 4x - 14
4x - 2x = 14 + 7
2x = 21
x = 21/2
put value of x
2x+7= m ⇒ 2 × 21/2 + 7
= 21 + 7 = 28
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the first three taylor polynomials for f(x)=√1 +x centered at 0 are p0(x)=1, p1(x)=1 x 2, and p2(x)=1 x 2− x2 8. find three approximations to √1.1
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The three approximations for \(\sqrt{1.1}\)using the given Taylor polynomials are: p0(x): 1, p1(x): 1.05, p2(x): 1.04875
A Taylor polynomial is a polynomial approximation of a function that is centred at a particular point in calculus. It is created by multiplying the value of a function's derivative calculated at the centre point by a power of the distance from the centre point for each term in the function expansion as a power series. As the degree of the polynomial rises, the Taylor polynomial provides a more precise approximation of the function. Calculus uses it extensively in areas like numerical analysis, optimisation, and approximation theory.
Recall that the Taylor polynomials are used as approximations for a function near a given point, in this case, centered at 0.
1. Using p0(x) = 1:
Since p0(x) = 1 is a constant, it does not depend on x, so the approximation for \(\sqrt{1.1}\) is simply 1.
2. Using p1(x) = 1 + x/2:
Substitute x = 0.1 (since 1.1 = 1 + 0.1) into p1(x): p1(0.1) = 1 + (0.1)/2 = 1 + 0.05 = 1.05.
3. Using p2(x) = 1 + x/2 - \(x^2\)/8:
Substitute x = 0.1 into p2(x): p2(0.1) = 1 + (0.1)/2 - (0.1)^2/8 = 1 + 0.05 - 0.00125 = 1.04875.
So, the three approximations for \(\sqrt{1.1}\) using the given Taylor polynomials are:
1. p0(x): 1
2. p1(x): 1.05
3. p2(x): 1.04875
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show (6-sqrt2) (6+sqrt2) is rational
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Is this answer ok for you?
April divided 6,922 by 344. Her work is shown below.
Which answer choice correctly identifies the error April made when dividing
A. She made an error when subtracting.
B. She made an error when multiplying.
C. She forgot to place a zero in the quotient.
D. She did not make any errors.
Answers
when subtracting 692-688, she forgot to subtract a 1 from the 9 in order to make the 2 a 12 :)
Answer:
answer is subtract i am on the test right now!
(1 point) Consider a piece of wire with uniform density. It is the quarter of a circle in the first quadrant. The circle is centered at the origin and has radius 6. Find the center of GRAVITY (x¯,y¯) of the wire. x¯=y¯=
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The center of gravity (x¯, y¯) of the wire is approximately (2.546, 2.546).
To find the center of gravity (x¯, y¯) of the wire, we can use the concept of geometric centroids. For a quarter of a circle in the first quadrant, the center of gravity will coincide with the centroid of the quarter-circle.
The centroid coordinates (x¯, y¯) of a quarter-circle with radius R can be found using the following formulas:
x¯ = (4R)/(3π)
y¯ = (4R)/(3π)
In this case, the radius of the quarter-circle is 6. Plugging this value into the formulas, we get:
x¯ = (4 * 6) / (3 * π)
= 24 / (3 * 3.14159)
≈ 2.546
y¯ = (4 * 6) / (3 * π)
= 24 / (3 * 3.14159)
≈ 2.546
Therefore, the center of gravity (x¯, y¯) of the wire is approximately (2.546, 2.546).
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2x+4(7−x)
HELP me plz :c
Answers
Step-by-step explanation:
2x + 4(7-x)
= 2x + 28 -4x
= 28 - 2x
What is the product of 7/9 and 1/4
Answers
Answer:
7/36
Step-by-step explanation:
7/9* 1/4
Multiply the numerator
7*1 = 7
9*4 = 36
Put the numerator over the denominator
7/36
Answer:
Brunliest plzStep-by-step explanation:
7/9 x 1/4 = 7/36
The point A(-5,6) is reflected over the origin and its image is point B.
What are the coordinates of point B?
Answers
Answer:
Answer:
(6,-7)
Step-by-step explanation:
The equation for reflecting an image about the origin is (a,b) to (-a,-b). It means you make x and y their opposites.
Step-by-step explanation:
If there are three black, four white, two blue, and four gray socks in a drawer, what would be the probability of picking a blue sock? Round your answer to the nearest tenth.
Answers
Answer:
3/13 which is 0.23 as a decimal
Step-by-step explanation:
Help ASAP please and thanks
Answers
Answer: 234 - 40 = 2x
194 = 2x
97 = x
x being the amount Trey had before mowing lawns
You manage a staff of 9 employees. Each employee has equally done an excellent job this year. If upper management has allotted a bonus for your department of $30,000, what dollar bonus amount would each employee get if divided equally (round to nearest dollar)?.
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The amount that each employee will get out of the bonus to your department will be $3,000.
What will each employee get?
You manage a staff of 9 employees in your department which means that there are 10 people in total.
The amount that each person will get from the bonus will therefore be:
= 30,000 / 10 employees
= $3,000
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The proportional relationship between the number of songs Nolan downloads, s, and the total cost in dollars and cents, c, can be represented by the equation c = 0. 35s. How much does it cost to download a single song?
Please I need help!!!
Answers
A single song may be downloaded for $0.35. Adjusting the solution c = 0.35s yields the answer because c/s = 0.35.
Equation: What is it?An equation is an mathematical statement that uses an equal sign to express the relationship across two or more objects, such as variables or integers. Equations can be used to represent relationships between physical, chemical, and other sorts of events as well as to solve mathematical problems. An equation in mathematics is a claim made regarding the equivalence of two expressions. A assertion claiming two expressions equal equal is what an equation is, in other words.
This indicates that each music download costs $0.35. Consequently, it costs $0.35 to buy a single song.
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Is there any number that can be expressed as a ratio of two integers?
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The numbers that can be expressed as a ratio of two integers are called as Rational Numbers , and one such example is \(\frac{2}{3}\) .
What are Rational Numbers ?
The Rational Numbers are defined as the ratio of two integers where the denominator is non zero .
Mathematically , the rational numbers are the numbers that can be expressed in the form of \(\frac{p}{q}\) , where \(q\neq 0\) .
So , We can say that any fraction that fits under category of rational numbers, where denominator and numerator are integers and denominator is not equal to zero.
Few Examples of that can expressed as ratio of integers are :
(i) \(\frac{1}{2}\) , here 1 and 2 both are integers , and \(2\neq 0\) .
(ii) \(\frac{5}{6}\) , here 5 and 6 both are integers , and \(6\neq 0\) .
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on piece of paper,graph the system of equatons. Then determine which answer choice matches the graph you drew and indetify the solution to the system y=2x-1 y= -x+5
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Answer:
Idisisisos9191929929293938kdidif8c8c8c87c7c7c7c7c
An angle whose measure is –102° is in standard position. In which quadrant does the terminal side of the angle fall? Quadrant I Quadrant II Quadrant III Quadrant IV.
Answers
Angle is formed by the two rays. The angle with measurement –102° will lie in the third quadrant.
What is an angle?An angle is formed by the two rays, the two rays are known as the two sides of the angle.
As it is given that the measure of the angle is –102°, therefore, the angle will be measured from the positive x-axis in the clockwise direction, therefore, the angle will lie in the third quadrant as shown in the image below.
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Which statement is true about the end behavior of the
graphed function?
O As the x-values go to positive infinity, the function's
values go to negative infinity.
O As the x-values go to zero, the function's values go to
positive infinity.
O As the x-values go to negative infinity, the function's
values are equal to zero.
O As the x-values go to positive infinity, the function's
values go to positive infinity.
Answers
As the x-values go to positive infinity, the function's values go to positive infinity. Then the correct option is D.
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
The graph of the function is given below.
From the graph, we can conclude that the value of the graph is always positive. So, the function will be an exponential function.
From the graph, as the x-values go to positive infinity, the function's values go to positive infinity. Then the correct option is D.
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Which values or a,b,and,c correctly represent the answer in simplest form 3 1/2 divided by 2 1/4 = a b/c
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Answer: 1 5/9
Step-by-step explanation:
$60/year is equivalent to $_____/month.
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Answer:
5 dollars a month
Step-by-step explanation:
There are 12 months in a year, so we divide the yearly amount by 12
60/12 = 5
5 dollars a month
What is the prime factorization of 40
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Answer:
Factors of 40: 1, 2, 4, 5, 8, 10, 20, 40.
Step-by-step explanation:
Where should Jenna insert parentheses to make the equation true? 2 + 4.5+ 1 = 26
Answers
((2)(4))(.5+1)=(2)(6)
because (2*4)(1.5)= 8*1.5
= 12
and 2*6 =12
and 12=12
I hope this is right and I hope it helps!
Find the volume of a pyramid with a square base, where the perimeter of the base is 18.2 in and the height of the pyramid is 10.9 in. Round your answer to the nearest tenth of a cubic inch.
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Find the volume of a pyramid with a square base, where the perimeter of the base is 18.2 in and the height of the pyramid is 10.9 in. Round your answer to the nearest tenth of a cubic inch.
what is the term for the rotational movement of the nose of the plane
Answers
The volume of a cone can be calculated using the formula \(V = (1/3) * * r2 * h\), where V is a constant roughly equal to 3.14159, r is the radius, and h is the height.
When the required values are substituted, the answer is \(V = (1/3) * 3.14159 * (1.75 feet)2 * 2.1\) feet.
The assessment of this expression yields V = 5.6688 cubic feet. The cone has a radius of 1.75 feet, a height of 2.1 feet, and a volume of approximately 5.6688 cubic feet."Pitch" is the technical word for the rotating movement of an airplane's nose. Pitch describes the rotation of the aircraft's nose around its lateral axis, either upward or downward. A plane is said to be in a positive pitch attitude when its nose is pointing up, and a negative pitch attitude when it is pointing down. Pitch control is essential for maintaining the correct flying path and managing the aircraft's height.
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Find the equation of the line that is perpendicular to the line y=x-9
and passes through the point (-7,1)
. Write the equation in point-slope form.
Answers
The equation of a line perpendicular to y = x - 9 and passes through (-7, 1) is y = - x - 6
How to find the equation of a line?The equation of a line can be represented in a point slope form as follows:
y - y₁ = m(x - x₁)
where
m = slopex₁ and y₁ are the coordinatesTherefore, the line is perpendicular to y = x - 9 and passes through (-7, 1).
Perpendicular lines follows the rule:
m₁ m₂ = -1
1m₂ = -1
m₂ = -1
Hence, let's find the y-intercept of the equation of the lines using (-7, 1)
y = - x + b
1 = - (-7) + b
1 = 7 + b
1 - 7 = b
b = -6
Therefore, the equation of the line is y = - x - 6
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Bill wants to increase 150 by 3%
He writes down
150 x 1.3=195
Bill’s method is wrong.
Find the correct multiplier.
Answers
Answer:
1.03
Step-by-step explanation:
multiplying by 1.3 would increase the amount by 30%
if f(x)=2x^2-3x+4, find f(x+3)
Answers
Step-by-step explanation:
well, the approach is totally simple : we use (x+3) everywhere where we have "x" in the function expression.
so,
f(x+3) = 2(x+3)² - 3(x+3) + 4 =
= 2(x² + 6x + 9) - 3x - 9 + 4 =
= 2x² + 12x + 18 - 3x - 9 + 4 =
= 2x² + 9x + 13