You spend $40 on 5 pounds of concrete. How much is 1 pound?
Answer:
8
Step-by-step explanation:
40 divided by 5 is 8
40/5=8
Which staternent is about the polynomial 3x ^ 2 * y ^ 2 - 5x * y ^ 2 - 3x ^ 2 * y ^ 2 + 2x ^ 2 after it has been fully simplified has 2 terms and a degree of 2 It has 2 terms and a degree of 3 . }has 4 terms and a degree of 2 . It has 4 terms and a degree of 4.
Answer: -4x^3y^2, and 5x^4y
Step-by-step explanation:
How many boxes are needed for a total of 3,745 napkins if one box can hold 75 napkins?
Answer:
50
Step-by-step explanation:
3745 divided by 75 = 49.93
Round to 50
Hope this helped :)
what is the expression for a quadratic formula discriminatnt
The discriminant of a quadratic equation in standard form, \(ax^2 + bx + c = 0\) , is given by the expression: \(b^2 - 4ac\)
The expression gives the discriminant: \(b^2 - 4ac\)
This expression is used to determine the nature of the roots of the quadratic equation. Specifically, if the discriminant is positive, then the equation has two real and distinct roots. If the discriminant is zero, then the equation has one real root with a multiplicity of 2. If the discriminant is negative, then the equation has two complex conjugate roots.
A quadratic equation is a second-degree polynomial equation in one variable, typically written in the form:
\(ax^2 + bx + c = 0\)
where x is a variable and a, b, and c are constants. The coefficient "a" cannot be zero, since otherwise, the equation would become a linear equation.
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If the original function f(x) = 2x2 - 1 is shifted to the left 3 units to make the function g(x), which expression would represent g(x)?
(1)2(x-3)^2-1 (3)2x^2+2
(2)2(x+3)^2-1 (4)2x^2-4
Answer: 2(x+3)^2 - 1
To shift the f(x) function 3 units to the left, the xy axis must move 3 units to the right. This effectively means each x input is 3 units larger than before. That's why we replace every x with x+3.
A square rug has an area 86ft squared Write the side length as a square root. Then decide if the side length is a rational number.
Answer:
9.277
Step-by-step explanation:
It is an irrational number.
Explanation
Since area is length squared, length of a side of a rug is simply the square root of 86.
The square root of 86 is a rational number if 86 is a perfect square. It is an irrational number if it is not a perfect square. Since 86 is not a perfect square, it is an irrational number.
Hope this answer will help!
find the steady state solution of the heat conduction equation
The steady-state solution of the heat conduction equation refers to the temperature distribution that remains constant over time. This occurs when the heat flow into a system is balanced by the heat flow out of the system.
To find the steady-state solution of the heat conduction equation, follow these steps:
1. Set up the heat conduction equation: The heat conduction equation describes how heat flows through a medium and is typically given by the formula:
q = -k * A * dT/dx,
where q represents the heat flow, k is the thermal conductivity of the material, A is the cross-sectional area through which heat flows, and dT/dx is the temperature gradient in the direction of heat flow.
2. Assume steady-state conditions: In the steady-state, the temperature does not change with time, which means dT/dt = 0.
3. Simplify the heat conduction equation: Since dT/dt = 0, the equation becomes:
q = -k * A * dT/dx = 0.
4. Apply boundary conditions: Boundary conditions specify the temperature at certain points or surfaces. These conditions are essential to solve the equation. For example, you might be given the temperature at two ends of a rod or the temperature at the surface of an object.
5. Solve for the steady-state temperature distribution: Depending on the specific problem, you may need to solve the heat conduction equation analytically or numerically. Analytical solutions involve techniques like separation of variables or Fourier series expansion. Numerical methods, such as finite difference or finite element methods, can be used to approximate the solution.
It's important to note that the exact method for solving the heat conduction equation depends on the specific problem and the boundary conditions given. However, the general approach is to set up the heat conduction equation, assume steady-state conditions, simplify the equation, apply the boundary conditions, and solve for the steady-state temperature distribution.
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Standard automobile license plates in a country display 1 numbers, followed by 2 letters, followed by 4 numbers. How many different standard plates are possible in this country
In this nation, there are 26 million possible basic licence plates.
A nation's typical automotive number plates typically consist of 1 number, 2 letters and 4 numerals in that order. We employ the following approach to determine how many alternative standard plates are feasible in this nation:
The first number can be represented by any one of ten digits, from 0 to 9. The two letters have a total of 26 potential combinations, assuming that the letters are not case-sensitive. Finally, each of the remaining four integers has a possible set of 10 digits. By combining all of these potential combinations together, the total number of various standard plates that can be used in this country is determined.
In this case, the total number of different standard plates that are possible in this country can be calculated as follows: 10 × 26 × 10 × 10 × 10 × 10 = 26,000,000.
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a political action committee launches a new advertisement aimed at building support for a policy that would expand health insurance to low-income americans through increased government funding. according to zaller’s receive-accept-sample (ras) model, who would be most susceptible to this message?
According to Zaller's Receive-Accept-Sample (RAS) model, individuals who are most susceptible to the message of a political action committee launching a new advertisement aimed at expanding health insurance to low-income Americans through increased government funding would be those who both receive and accept the message.
The RAS model suggests that individuals have varying levels of political knowledge and are exposed to different sources of information. Those who are more likely to receive the message are individuals who are politically interested and engaged, while those who are more likely to accept the message are individuals who have limited political knowledge and are less critical of the information presented to them.
Therefore, in the context of the advertisement aiming to expand health insurance to low-income Americans, the most susceptible individuals would be those who are politically interested but have limited political knowledge. These individuals may be more likely to accept the message without critically evaluating its content.
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solve it if u can i bet u
The value of x³(x³ - 18) if x(x - 3) = -1 is -1.
To simplify simply means to make anything easier. In mathematics, simplifying an equation, fraction, or problem means taking it and making it simpler. Calculations and problem-solving techniques simplify the issue.
We have been given that
x(x - 3) = -1 ....... eq(1)
Find out the value of
x³(x³ - 18) ........eq(2)
We first simplify the value of x in equation (1)
x(x−3)=−1
Divide by x on both side
x(x−3)/x = −1/x
(x−3)=−1 /x
Rewrite as
x + 1/x = 3
Taking cube on both sides
(x + 1/x)³ = 3³
x³ + (1/x)³ = 27 - 3×3
x³ + (1/x)³ = 27 - 9
x³ + (1/x)³ = 18
Multiply by x³
x^6 + 1 = 18x³
x^6 - 18x³ = -1
x³(x³ - 18) = -1
Hence, the value of equation x³(x³ - 18) is also -1.
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What is an equation of a line, in point-slope form, that passes through (1, -7) and has a slope of -2/3?
o y + 7 = -2/3 (x − 1)
o y − 7 = -2/3 (x + 1)
o y − 7 = -2/3 (x − 1)
o y + 7 = -2/3 (x + 1)
The equation of the line, in point-slope form, that passes through (1, -7) and has a slope of -2/3 is y + 7 = -2/3 (x − 1).
Option A is the correct answer.
We have,
The point-slope form of a linear equation is:
y - y1 = m(x - x1)
where (x1, y1) is a point on the line and m is the slope of the line.
Now,
Given that the line passes through the point (1, -7) and has a slope of -2/3, we can substitute these values into the point-slope form:
y - (-7) = (-2/3)(x - 1)
Simplifying the equation:
y + 7 = (-2/3)x + (2/3)
Subtracting 7 from both sides:
y = (-2/3)x - (19/3)
So,
y + 7 = -2/3 (x - 1)
Thus,
The equation of the line, in point-slope form, that passes through (1, -7) and has a slope of -2/3 is y + 7 = -2/3 (x − 1).
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A parallelogram has a base of 3 units and an area of 1.8 square units. The corresponding height for that base is ____ units.
Answer:
A parallelogram has a base of 3 units and an area of 1.8 square units. The corresponding height for that base is _0.6__ units
Step-by-step explanation:
area of the parallelogram= base × height
1.8 = 3 × h
h= 1.8/3
h= 0.6 units
The diamension of the picture is 12 by 10 in. If the area is decreased by (1)/(2 ), what is the new length and new width of the rectangle
The new length and width of the rectangle, after decreasing the area by half, can be calculated as follows: New length = (1/2) * 12 inches = 6 inches, New width = (1/2) * 10 inches = 5 inches
In the given problem, the initial dimensions of the picture are 12 inches by 10 inches. To find the new dimensions, we need to decrease the area by half. The area of a rectangle is calculated by multiplying its length and width. Therefore, the initial area of the picture is 12 inches * 10 inches = 120 square inches.
To decrease the area by half, we can multiply the initial area by (1/2). So the new area will be (1/2) * 120 square inches = 60 square inches.
Now, let's find the new dimensions. We can set up the equation:
New length * New width = New area
Substituting the values, we get:
New length * New width = 60 square inches
We need to find two numbers that multiply to 60 square inches. One possible solution is 6 inches * 10 inches, which equals 60 square inches. Therefore, the new length is 6 inches and the new width is 10 inches.
In conclusion, the new dimensions of the rectangle, after decreasing the area by half, are 6 inches by 10 inches.
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2. Andre works in the soft-drink booth at every school baseball game. He
earns 43 of the total soft-drink sales at each game. At Friday's game, the
total soft-drink sales were $79.26. At Saturday's game, the total soft-drink
sales were $95.70. How much did Andre earn by working at the soft-drink
booth on Friday and Saturday?(7.3B) *
O A) $26.42
B) $31.90
C) $54.98
D) $58.32 look
Suppose you visit a store that is offering a discount to customers based on spinning a wheel. The wheel is divided into 12 slices. Six slices award a 10% discount, three slices award a 20% discount, two slices award a 40% discount, and one slice worth a 100% discount. As you wait your turn in line, there are three winners in a row that received a 100% discount after spinning the wheel. The two customers in line behind you begin to discuss what’s happened. One believes that the streak of three winners has killed anyone else’s chances of getting a 100% discount, while the other says just the opposite... that the wheel’s "hot streak" increases their chances of getting a 100% discount. Comment on the two customers' opinion about the chances of spinning another 100% discount on the wheel.
On the discussion of two customers, the comment on their opinion about the chances of spinning another 100% discount on the wheel, is that previous results won't affect the future's outcome.
Probability is calculated by dividing the favourable outcomes to the total possible outcomes. The addition rule of probability calculates the probability when the "or" operation is taking place between events. We have a spinning a wheel which based on discount to customers. Total slices on discount wheel is divided into, t = 12
Number of slices contains 10% discount,
= 6
Number of slices contains 20% discount, b = 3
Number of slices award a 40% discount, c
= 2
Number of slices award a 100% discount, d = 1
Now, We have to comment on the two customers'opinion based on the chances of spinning another 100% discount wheel. The spins are independent, that is every event is independent so if the wheel is fair the three gold winners in a row have no effect on the next persons’chances. So, The next person's chances will also remain the same Hence, previous results won't affect te future outcome.
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Help me please I don’t understand
BAnswer:hhbhb
Step-by-step explanation:
Can someone help pleaseeee
Answer:
m <b = 38
because 180-142= 38
The solid figure is separated along the dotted line into two rectangular prisms.
What are the volumes of the two rectangular prisms?
What is the volume of the solid figure?
Use the drop-down menus to show your answer.
The volume of two rectangular prisms are
(put the answer)
cubic inches and 128 cubic inches. The volume of the solid figure is
(put the answer)
cubic inches.
Answer:
its b easy dubs
Step-by-step explanation:
a surveyor is standing 50 feet from the base of a large tree and measures the angle of elevation to the top of the tree to be . how tall is the tree to the nearest foot?
71.5° should be the angle of elevation to the summit of the tree. The tree to the nearest foot is 149.4ft.
Between the horizontal line and the line of sight, an angle called the angle of elevation is created. An angle of elevation is produced when the line of sight is upward from the horizontal line. When it lies between the line of sight and the horizontal line, the angle of elevation is generated. The angle created, known as the angle of elevation, occurs when the line of sight is above the horizontal line. However, the line of sight is downward toward the horizontal line in the depression angle. The angle of elevation is the angle formed by the horizontal line of sight and the object when a person stands and looks up at something.
tan 71.5°=opp/hyp
tan 71.5°=y/50
y=50(tan 71.5°)
y=50(tan 71.5°)
y=50(2.98868)
y=149.4ft
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To the nearest degree, find the measure of angle A?
Answer:
I would say 26 or 42 but i would o with 26
Step-by-step explanation:
Answer:
26
Step-by-step explanation:
\(arccos\left(\frac{18}{20}\right)\) = 25.8
Help me pls i need help ‼️‼️‼️
Answer:
C. 3x+2=4
Step-by-step explanation:
6x+4=8
Subtract 4 from both sides.
6x=4
Divide both sides by 6
x=4/6
Simplify it
x=2/3
3x+2=4
Subtract both sides by 2
3x=2
Divide both sides by 3
x=2/3
Hope this helps
Answer and Step-by-step explanation:
The correct answer choice is answer choice 3. [ 3x + 2 = 4 ]
6x + 4 = 8
6x = 4
x = 2/3
_________________________________________________________
3x + 2 = 4
3x = 2
x = 2/3
#teamtrees #PAW (Plant And Water)
what’s the answer ??
Answer:
Left box: 1/2n
Right box = 2n - 22
Step-by-step explanation:
Since we want one-half the number and n represents the unknown number, we have 1/2n on the left-hand side of the equation.
Thus, you want to put 1/2n in box on the left.
Twice the number and 22 less than this is given by: y: 2n - 22 less than this means we subtract. Thus, we have 2n - 22 as the numerator on the right hand side of the equation.
Thus, you want to put 2n - 22 in the box on the right.
Mr. Walker gave his class the function f(x) = (x + 3)(x + 5). Four students made a claim about the function. Each student’s claim is below.
Jeremiah: The y-intercept is at (15, 0).
Lindsay: The x-intercepts are at (–3, 0) and (5, 0).
Stephen: The vertex is at (–4, –1).
Alexis: The midpoint between the x-intercepts is at (4, 0).
the only student that is correct is Stepheh. "The vertex is at (–4, –1)."
Which claims are true?
Here we have the quadratic equation:
f(x) = (x + 3)*(x + 5)
The first claim is: "The y-intercept is at (15, 0)."
This is clearly false, as the y-intercept is at x = 0, and in that point we have x = 15.
The second claim is:
"The x-intercepts are at (–3, 0) and (5, 0)"
This is false, in the factored equation we can see that the x-intercepts are x =-3 and x = -5.
Third claim:
"The vertex is at (-4, -1)"
The middle value between the zeros is:
(-3 + (-5))/2 = -4
Evaluating the function in x = -4 we get the y-value of the vertex:
f(-4) = (-4 + 3)*(-4 + 5) = -1*1 = -1
So the vertex is at (-4, -1), this claim is true.
The fourth claim is:
"The midpoint between the x-intercepts is at (4, 0)."
Which is false, we already saw that the midpoint between the x-intercepts is at x = -4
Then the only student that is correct is Stepheh. "The vertex is at (–4, –1)."
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a bus can travel 63 miles in 1.4 hours. if its speed is increased by 10 mph, how far can the bus travel in 4 hours?
Answer:
63 miles/1.4 hours = 45 mph
(55 mph)(4 hours) = 220 miles
can someone explain what to do
Answer:
8
Step-by-step explanation:
The equation of the parabola can be represented as
\(y = a(x + 1)(x - 5)\)
for some constant a.
Since the coefficient of x² is 2, a = 2, so
\(y = 2(x + 1)(x - 5) \\ \\ y = 2( {x}^{2} - 4x + 5) \\ \\ y = 2 {x}^{2} - 8x + 10\)
So, the answer is 8.
Roger bought a hamburger and french fries for $4.84. He paid with a $10 bill. Abouthow much change should he have gotten back?
Answer:
Roger should get $5.16 back.
Step-by-step explanation:
Just do $10.00 - 4.84
Answer:
$ 5.16
Step-by-step explanation:
10.00 - 4.84 = 5.16
Find the area of the shape shown below.
Answer:
Step-by-step explanation:
44.5
Answer:
42 units²
Step-by-step explanation:
A = \(\frac{(1+6)}{2}\) (12) = 42 units²
A lamina occupies the part of the disk x2 + y2 < 16 in the first quadrant and the density at each point is given by the function p(x, y) = 5(x2 + y2). A. What is the total mass? 32pi B. What is the moment about the x-axis? 1024/5 C. What is the moment about the y-axis? 1024/5 D. Where is the center of mass? ( 1024/5 1024/5 . 1024/5 ) E. What is the moment of inertia about the origin? 1024/3
A. The total mass is 40π.
B. The moment about the x-axis is 1024/5.
C. The moment about the y-axis is also 1024/5.
D. The center of mass is located at (8/5, 8/5).
E. The moment of inertia about the origin is 1024/3.
A. The total mass can be found by integrating the density function over the region:
m = ∬D p(x,y) dA
= ∫0^2π ∫0^4 5(r^2)(r dr dθ)
= 40π
Therefore, the total mass is 40π.
B. The moment about the x-axis can be found by integrating the product of the density function and the square of the distance to the x-axis over the region:
Mx = ∬D y p(x,y) dA
= ∫0^2π ∫0^4 5(r^2)(r sinθ)(r dr dθ)
= 1024/5
Therefore, the moment about the x-axis is 1024/5.
C. The moment about the y-axis can be found by integrating the product of the density function and the square of the distance to the y-axis over the region:
My = ∬D x p(x,y) dA
= ∫0^2π ∫0^4 5(r^2)(r cosθ)(r dr dθ)
= 1024/5
Therefore, the moment about the y-axis is 1024/5.
D. The center of mass can be found using the formulas:
xbar = My / m
ybar = Mx / m
Plugging in the values we found in parts B and C, we get:
xbar = (1024/5) / (40π) = 8/5
ybar = (1024/5) / (40π) = 8/5
Therefore, the center of mass is at the point (8/5, 8/5).
E. The moment of inertia about the origin can be found by integrating the product of the density function and the square of the distance to the origin over the region:
I = ∬D (x^2 + y^2) p(x,y) dA
= ∫0^2π ∫0^4 5(r^2)((r^2 sin^2θ) + (r^2 cos^2θ))(r dr dθ)
= 1024/3
Therefore, the moment of inertia about the origin is 1024/3.
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4. a statistical sampling of rockwell c hardness tests is conducted on a material, and it is determined that the material is defective because of insufficient hardness. the supplier claims that the tests are flawed because the diamond cone indenter was probably dull. is this a valid claim? explain (15pts)
The claim that the diamond cone indenter was probably dull is not a valid claim without further investigation and evidence
Here a statistical sampling of Rockwell c hardness tests is conducted on a material. The claim that the diamond cone indenter was probably dull is not a valid claim without further investigation and evidence. While a dull diamond cone indenter could potentially result in inaccurate hardness measurements, it is not necessarily the only factor that could have led to insufficient hardness readings. Other factors, such as improper preparation of the sample or incorrect testing conditions, could also contribute to inaccurate hardness measurements. Therefore, it is essential to thoroughly investigate all possible sources of error before concluding that the tests were flawed due to a dull diamond cone indenter.
Additionally, if the supplier is making this claim, they should provide evidence to support it, such as records of when the diamond cone indenter was last sharpened or a comparison of the results from the defective material and other samples tested using the same diamond cone indenter.
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in a particular statistics exam, the 35th percentile of final exam score is 42, and the 70th percentile of final exam score is 76. a histogram of the scores approximately follows the normal curve. what is the approximate standard deviation of the final exam scores? hints: what is the z value in the normal table that gives you closest to 35% of the area between -z and z? now what does that tell you about the number of sds in between 42 inches and 76 inches? you might find it helpful to draw a picture of the normal curve with original units and standard units. group of answer choices A. 7.5 B. 37.8 C. 13.1 D. 20.7
The approximate standard deviation is B) 37.8.
What is the relationship between percentiles and standard deviations in a normal distribution?To find the approximate standard deviation of the final exam scores, we can use the properties of the normal distribution and percentiles.
First, let's find the z-value that corresponds to the closest area to 35% in the normal table. From the table, we find that the z-value is approximately -0.385.
Since the percentile corresponds to the area under the normal curve, we know that the score 42 is located at approximately -0.385 standard deviations from the mean.
Similarly, the z-value corresponding to the 70th percentile is approximately 0.525. The score 76 is located at approximately 0.525 standard deviations from the mean.
By subtracting the z-values corresponding to the percentiles, we can find the approximate number of standard deviations between 42 and 76.
0.525 - (-0.385) = 0.91
This means that the distance between 42 and 76 is approximately 0.91 standard deviations.
To find the approximate standard deviation, we divide this distance by the number of standard deviations.
Since we know that 0.91 standard deviations correspond to a range of 34 (76 - 42), we can set up the proportion:
0.91 / x = 34 / x
Solving for x, we find:
x = 34 / 0.91 ≈ 37.36
Therefore, the approximate standard deviation of the final exam scores is approximately 37.36.
Among the given answer choices, the closest option is B. 37.8.
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