a force of 160 newtons is applied to an area of 6.4 square meters work out the pressure give the units for your answer
The pressure exerted is 25 N/m², or 25 Pa.
Pressure is defined as the force exerted per unit area.
It is a physical quantity that describes the distribution of force over a given area.
In the International System of Units (SI), pressure is measured in Newtons per square meter (N/m²) is also called Pascal (Pa).
A force of 160 Newtons is applied to an area of 6.4 square meters.
The pressure, we use the formula:
pressure = force / area
Substituting the given values, we get:
pressure = 160 N / 6.4 m²
Simplifying, we get:
pressure = 25 N/m²
The pressure exerted by a force depends on the magnitude of the force and the area over which it is applied.
A force is applied over a smaller area, the pressure exerted is greater. Conversely, when the same force is applied over a larger area, the pressure is lower.
Pressure is an important concept in many fields of science and engineering, including fluid dynamics, aerodynamics and materials science.
It plays a crucial role in understanding the behavior of fluids, gases and solids under different conditions and helps in designing and optimizing various engineering systems.
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What do I write! :3 :3 :3
Answer:
10 1/3
Step-by-step explanation:
you ar esupposed to add the fractions first.if the fraction is improper(4/3), another number is added to the whole number.finally you ad the whole numbers to get your answer
hope it helps:)
Answer:
Answer: 10 1/3
Jonathan first got the steps right, however, he was incorrect because he added the denominators together. Since the two denominators are the same, the sum will also have a denominator of 3, not 6. In his other steps, he was correct; 7 + 2 = 9, 2 + 2 = 4. Thus, making 9 4/3 or 10 1/3.
Step-by-step explanation:
Write the absolute value equations in the form x−b=c (where b is a number and c can be either number or an expression) that have the following solution sets:
A.Two solutions: x=2, x=13.
B.One solution: x=23.
C.Two solutions: x= 1/2 , x=− 1/3 .
D.One solution: x=−3.
E.One solution: x=−4.1.
F.All numbers such that x≥5.
G.All numbers such that x≤5.
H.All numbers such that x≤−14.
I.All numbers such that x≥−1.3.
Answer:
Step-by-step explanation:
The absolute value equations in the form x - b = c that have the given solution sets are as follows:
A. |x - 7.5| = 5.5
Explanation: To obtain the solutions x = 2 and x = 13, we set the expression x - b equal to the positive and negative values of c, respectively. Solving the equations x - b = 5.5 and x - b = -5.5 gives us x = 7.5 + 5.5 = 13 and x = 7.5 - 5.5 = 2, respectively.
B. |x - 23| = 0
Explanation: Since x = 23 is the only solution, we set the expression x - b equal to zero, resulting in the equation x - b = 0. Solving this equation gives us x = b = 23.
C. |x - (-1/6)| = 5/6
Explanation: By setting x - b equal to the positive and negative values of c, we obtain the equations x - b = 5/6 and x - b = -5/6. Solving these equations yields x = (-1/6) + (5/6) = 1/2 and x = (-1/6) - (5/6) = -1/3, which are the desired solutions.
D. |x - (-3)| = 0
Explanation: Since x = -3 is the only solution, we set the expression x - b equal to zero, resulting in the equation x - b = 0. Solving this equation gives us x = b = -3.
E. |x - (-4.1)| = 0
Explanation: Since x = -4.1 is the only solution, we set the expression x - b equal to zero, resulting in the equation x - b = 0. Solving this equation gives us x = b = -4.1.
F. x - 5 ≥ 0
Explanation: To represent all numbers greater than or equal to 5, we set the expression x - b greater than or equal to zero. Simplifying the inequality gives us x ≥ 5.
G. -(x - 5) ≥ 0
Explanation: To represent all numbers less than or equal to 5, we set the negation of the expression x - b greater than or equal to zero. Simplifying the inequality gives us -x + 5 ≥ 0.
H. -(x - (-14)) ≥ 0
Explanation: To represent all numbers less than or equal to -14, we set the negation of the expression x - b greater than or equal to zero. Simplifying the inequality gives us -x + 14 ≥ 0.
I. x - (-1.3) ≥ 0
Explanation: To represent all numbers greater than or equal to -1.3, we set the expression x - b greater than or equal to zero. Simplifying the inequality gives us x ≥ -1.3.
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apply the distributive property to factor out the GCF of all three terms 9 - 12x + 6y = ?
Answer:
3(3 - 4x + 2y).
Step-by-step explanation:
Notice that 3 is a factor of 9, -12 and 6.
There's no other "common factor."
Therefore, the GCF is 3 and in factored form the given polynomial is
3(3 - 4x + 2y).
Answer: \(3\left(3-4x+2y\right)\)
Step-by-step explanation:
\(3\cdot \:3+4\cdot \:3x+2\cdot \:3y\)
\(3\left(3-4x+2y\right)\)
Determine whether the following are linear transformations from R3 into R2:
L(x) = (1 + x1, x2)^T
either the additivity nor the homogeneity properties are satisfied, L(x) is not a linear transformation from R³ to R².
To determine if L(x) is a linear transformation from R³ to R², we need to check if it satisfies the two properties of linear transformations:
1. Additivity: L(x + y) = L(x) + L(y)
2. Homogeneity: L(cx) = cL(x), where c is a scalar.
Given L(x) = (1 + x₁, x₂)ᵀ, let x = (x₁, x₂, x₃) and y = (y₁, y₂, y₃). Also, let cx = (cx₁, cx₂, cx₃).
Now let's check both properties:
1. Additivity:
L(x + y) = L((x₁ + y₁, x₂ + y₂, x₃ + y₃)) = (1 + (x₁ + y₁), x₂ + y₂)ᵀ
L(x) + L(y) = (1 + x₁, x₂)ᵀ + (1 + y₁, y₂)ᵀ = (2 + x₁ + y₁, x₂ + y₂)ᵀ
Since L(x + y) ≠ L(x) + L(y), the additivity property is not satisfied.
2. Homogeneity (this step is not necessary, as the additivity property already failed, but let's check it for completeness):
L(cx) = L((cx₁, cx₂, cx₃)) = (1 + cx₁, cx₂)ᵀ
cL(x) = c(1 + x₁, x₂)ᵀ = (c + cx₁, cx₂)ᵀ
Since L(cx) ≠ cL(x), the homogeneity property is also not satisfied.
Since neither the additivity nor the homogeneity properties are satisfied, L(x) is not a linear transformation from R³ to R².
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The points earned by each choir team during the All-State Competition are as follows:
Choir Choir A Choir B Choir C Choir D
Points 129.5 130.1 130.8 129.8
If points are reported by rounding to the nearest whole number, which team has a different score? (5 points)
Choir A
Choir B
Choir C
Choir D
Answer:
d
Step-by-step explanation:
consider two independent walkers performing symmetric simple random walk in z, with one walk started at 1 and the other at 1. will the two walkers certainly meet?
No, the two independent walkers performing symmetric simple random walk in the z-axis will not certainly meet.
No, the two independent walkers performing symmetric simple random walk in the z-axis will not certainly meet. In a symmetric random walk, each step has an equal probability of moving up or down by one unit. Since the walkers start at different positions (1 and -1), there is a possibility that they may never meet during their random walk trajectories.
The outcome of each step is independent of the other walker's position or movement. Therefore, even though they both start at 1 and -1, there is no guarantee that they will eventually meet. The random nature of the process allows for various possible paths, and it is possible for the walkers to move away from each other or follow separate trajectories indefinitely without ever intersecting.
Hence, The two independent walkers performing symmetric simple random walk in the z-axis will not certainly meet.
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WILL GIVE BRAINLIEST!!!
Cassandra rents a bicycle while on vacation.
The table below shows the cost of renting a bicycle y, per hour, x.
What is the slope (m) that is defined by the table?
Explain using 2-3 sentences or show each step.
Answer:
m = 6
Step-by-step explanation:
Slope Formula: \(m=\frac{y_2-y_1}{x_2-x_1}\)
Simply choose 2 points and plug them into the formula to find slope m:
(1, 20)
(2, 26)
\(m=\frac{26-20}{2-1}\)
\(m=\frac{6}{1}\)
m = 6
Point T T is located at ( − 1 , − 4 ) (−1,−4) on the coordinate plane. Point T T is reflected over the x x-axis to create point T ′ T ′ . Point T ′ T ′ is then reflected over the y y-axis to create point T ′ ′ T ′′ . What ordered pair describes the location of T ′ ′ ? T ′′ ?
Given:
The point is located at (-1,-4).
Point T is reflected over the x-axis to create point T′.
Point T′ is then reflected over the y-axis to create point T′′.
To find:
The ordered pair describes the location of T''.
Solution:
We have, the given point T(-1,-4).
Point T is reflected over the x-axis to create point T′. So, the rule of reflection is
\((x,y)\to (x,-y)\)
\(T(-1,-4)\to T'(-1,4)\)
Point T′ is then reflected over the y-axis to create point T′′. So, the rule of reflection is
\((x,y)\to (-x,y)\)
\(T'(-1,4)\to T''(1,4)\)
Therefore, the ordered pair (1,4) escribes the location of T′′.
Find the 200th term in the sequence below.
a₁ = 8
d=12
The 200th term in the sequence is 2,396.
To find the 200th term in the sequence we have the formula:
an=a1+(n-1)d --------(1)
Given that values of a1 and d are 8,12
"a1" is called the first value of the sequence.
"d" is called the difference between two numbers.
Assume that n is 200 because we have to find the 200th term.
Now, we will substitute all the values in the above equation(1)
an=a1+(n-1)d
a200=8+(200-1)12
a200=8+(199)12
a200=8+2,388
a200=2,398.
So, the 200th term in the sequence is:2,398
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Compute the surface area of revolution about the x-axis over the interval [0,1] for y = -2 (Use symbolic notation and fractions where needed.) in + + 1 S = 15 2 y (+v3), vå), Verde un2, + 4 24 Incorrect
The surface area of revolution about the x-axis over the interval [0,1] for y = -2 is 15/2π.
What is the surface area of revolution about the x-axis for y = -2?To find the surface area of revolution about the x-axis over the interval [0,1] for y = -2, we can use the formula:
S = ∫[a,b] 2πy√(1 + (dy/dx)^2) dx
In this case, y = -2, so we substitute this into the formula:
S = ∫[0,1] 2π(-2)√(1 + (0)^2) dx
= -4π∫[0,1] dx
= -4π[x] from 0 to 1
= -4π(1 - 0)
= -4π
However, the surface area cannot be negative, so we take the absolute value:
S = |-4π| = 4π
Therefore, the surface area of revolution about the x-axis over the interval [0,1] for y = -2 is 4π.
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an inverse relationship in which one factor increases as another factor decreases represents?
A Negative correlation coefficient means that as one variable increases, the other decreases (i.e., an inverse relationship).
What is the answer to this problem: 30 = -6w + 12
Answer:
w = -3
Step-by-step explanation:
Try M*thway for problems like these. For future reference! I had to censor the site but you probably know what it is.
Omar runs 6 miles in 55 minutes. At the same rate, how many miles would he run in 44 minutes?
In miles
Answer:
4.8 miles
Step-by-step explanation:
You can use a proportion.
6/55 = x/44
55x = 6 × 44
55x = 264
x = 264/55
x = 4.8
Answer: 4.8 miles
44 / 55 = 4 / 5
4 / 5 = 0.8
0.8 * 6 = 4.8 miles
please give brainliest
Perform the indicated operations,and designate answer using thelisting methodsLet u = {1,2,3,4,5,6,7}, L={1,3,5,73 M = { 1, 2,3}N={2,3,4,5,6}(Mn Ľ)'UN'
which statement accurately describes how to reflect point A (3,-1) over the y axis
The reflection over the y-axis only changes the sign of the x-component so the reflected point is A' (-3, -1)
How to reflect point A over the y-axis?Here we can't see the options, so I will teach you how to reflect any point over the y-axis.
Any point on the X-Y plane is defined by its coordinates (x, y).
If we reflect this point over the y-plane, we only change the sign of the x-component of the point.
So after the reflection, we get the point (-x, y).
Then if we apply that reflection to point A (3, -1). We will get the reflected point:
A' (-3, -1)
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Simplify.
-12 + (-2)(3)
Answer:
-18
Step-by-step explanation:
-12 + (-2)(3)
= (-12)+((-2)x(3))
= (-12)+(-6)
= (-12)-(6)
= -18
Type the correct answer in the box. Use numerals instead of words. If necessary, use/ for the fraction bar.
Given the figure, find the total area of the shaded region.
D
8-
6-
4-
2-
O
-2-
o
S
The area of the shaded region is
B
R
8
с
square units
The value of the total area of the shaded region are,
⇒ 42 units²
We have to given that;
Sides of rectangle are,
AB = 9
BC = 6
Hence, The area of rectangle is,
⇒ 9 x 6
⇒ 54 units²
And, Area of triangle is,
A = 1/2 × 4 × 6
A = 12 units²
Thus, The value of the total area of the shaded region are,
⇒ 54 - 12
⇒ 42 units²
So, The value of the total area of the shaded region are,
⇒ 42 units²
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someone answer this correctly please, I’ll give you brainliest and your getting 50 points someone answer this no fraud answers don’t be weird.
The proof of the congruent sides RU and TS is given below.
What is congruent triangles?
In any orientation, two triangles are said to be congruent if their three sides and three angles are equal.
Therefore, if two triangles have the same number of sides on each side, they are said to be congruent. Additionally, we can determine that they are congruent if we have a side, an angle between the sides, and then another side that is congruent, in that order: side, angle, side.
Let the given figure is a rectangle RSTU.
Since the all four angles of rectangle are of 90 degree.
So, each angle of rectangle RSTU is 90 degree.
Let, US divides the angle RUT and angle RST and form two new triangles, ΔSRU and ΔSTU.
Both the triangles having same measure of angles and sides.
⇒ ΔSRU ≅ ΔSTU
As the triangles are congruent so their sides are congruent.
Hence, RU is congruent to TS.
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find the inverse function of f
f(x)=1/2x+7
8.88 = 4.44(x-7)
Solve for x
Show or explain your method
Answer:
x=9
Step-by-step explanation:
8.88=4.44x-31.088.88-4.44x=-31.08-4.44x=-31.08-8.88-4.44x=-39.96x=9(we divided both rquations by -4.44)Is triangle ABC similar to triangle DEF? Why or why not?
Answer:
No, because not all corresponding angles are congruent.
Step-by-step explanation:
In order for two triangles to be similar you must have that you know at least 2 corresponding angles are congruent which would also imply the third set of angles are also congruent. You can also tell if two triangles are similar based on their corresponding sides being proportional. Without even checking the proportionally part of corresponding sides, I see the 3 angles in the first triangle do not have the same measurement as the one in the second triangle. Therefore, the triangles cannot possibly by similar.
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the measures of position that divide a set of data into four equal parts are called
The measures of position that divide a set of data into four equal parts are called quartiles.
Quartiles are statistical measures that divide a dataset into four equal parts, each containing approximately 25% of the data. These quartiles are denoted as Q1, Q2, and Q3.
Q1, also known as the first quartile or the 25th percentile, represents the value below which 25% of the data falls. It splits the lowest 25% of the dataset from the rest.
Q2, also known as the second quartile or the 50th percentile, is the median of the dataset. It represents the value below which 50% of the data falls, dividing the dataset into two equal parts.
Q3, also known as the third quartile or the 75th percentile, represents the value below which 75% of the data falls. It separates the highest 25% of the dataset from the rest.
These quartiles are useful in analyzing the distribution and dispersion of data, providing insights into the spread and central tendency.
They are commonly used in box plots, where the box represents the interquartile range (IQR), which is the range between Q1 and Q3, while the line inside the box represents the median (Q2).
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What angular resolution would you need to see the Sun and Jupiter as distinct points of light? Express your answer in arcseconds to two significant figures. Jupiter 195| ΑΣΦ % ? 11 Suppose you were looking at our own solar system from a distance of 6.0 light-years.
An angular resolution of 0.56 arcseconds is required to see the Sun and Jupiter as separate objects. This is an extremely small angle and would necessitate the use of a large telescope.
Angular resolution is defined as the minimum angle between two objects that enables a viewer to see them as distinct objects rather than as a single one. A better angular resolution corresponds to a smaller minimum angle. The angular resolution formula is θ = 1.22 λ / D, where λ is the wavelength of light and D is the diameter of the telescope. Thus, the angular resolution formula can be expressed as the smallest angle between two objects that allows a viewer to distinguish between them. In arcseconds, the answer should be given to two significant figures.
To see the Sun and Jupiter as distinct points of light, we need to have a good angular resolution. The angular resolution is calculated as follows:
θ = 1.22 λ / D, where θ is the angular resolution, λ is the wavelength of the light, and D is the diameter of the telescope.
Using this formula, we can find the minimum angular resolution required to see the Sun and Jupiter as separate objects. The Sun and Jupiter are at an average distance of 5.2 astronomical units (AU) from each other. An AU is the distance from the Earth to the Sun, which is about 150 million kilometers. This means that the distance between Jupiter and the Sun is 780 million kilometers.
To determine the angular resolution, we need to know the wavelength of the light and the diameter of the telescope. Let's use visible light (λ = 550 nm) and assume that we are using a telescope with a diameter of 2.5 meters.
θ = 1.22 λ / D = 1.22 × 550 × 10^-9 / 2.5 = 2.7 × 10^-6 rad
To convert radians to arcseconds, multiply by 206,265.θ = 2.7 × 10^-6 × 206,265 = 0.56 arcseconds
The angular resolution required to see the Sun and Jupiter as distinct points of light is 0.56 arcseconds.
This is very small and would require a large telescope to achieve.
In conclusion, we require an angular resolution of 0.56 arcseconds to see the Sun and Jupiter as separate objects. This is an extremely small angle and would necessitate the use of a large telescope.
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How can I work this problem in adding integers with counters 5 + (-7)
\(\\ \rm\longmapsto 5+(-7)\)
\(\\ \rm\longmapsto 5-7\)
\(\\ \rm\longmapsto -2\)
Note:-
(-)(-)=(+)(+)(-)=(-)(-)(+)=(-)(+)(+)=(-)Answer:
is -2
Step-by-step explanation:
because we have (-)+(+) is - so our answer is in minus
What is the solution to this system of equations?
4x + 5y = 7
3x - 2y = -12
Multiply each equation by a number that produces opposite
coefficients for x ory:
45
The solution is
BN
Answer:
x = -2, y = 3
Step-by-step explanation:
Given equations are,
4x + 5y = 7 ---------(1)
3x - 2y = -12 ----------(2)
Multiply equation (1) by 3
12x + 15y = 21 ------(3)
Multiply equation (2) by (-4)
-12x + 8y = 48 --------(4)
Now add equations (3) and (4),
(12x + 15y) + (-12x + 8y) = 21 + 48
(12x - 12x) + (15y + 8y) = 69
23y = 69
y = 3
From equation (2),
3x - 2(3) = -12
3x - 6 = -12
3x = 6 - 12
x = -2
Therefore, x = -2 and y = 3 will be the answer.
Answer:
What is the solution to this system of equations?
\(4x +5y = 7\)
\(3x-2y=-12\)
The solution is ✔ \((-2,3)\) .
a rectangle is drawn so the width is 49 inches longer than the height. if the rectangle's diagonal measurement is 61 inches, find the height.
Refer to the attachment for figure:
The height of the rectangle = 11 inches
What is rectangle?
A rectangle is a type of quadrilateral with parallel sides equal to each other and four equal 90-degree vertices. Because of this, it is also known as an equiangular quadrilateral. Because the opposite sides of a rectangle are equal and parallel, it can also be referred to as a parallelogram.
Let x= height
Width becomes x+49
Diagonal BD=61 inches
By pythagoras theorem,
BD²=BC²+CD²
61²= (x+49)²+x²
3721=x²+98x+2401+x²
On simplification,
x²+49x-660=0
Find the factors
(x+60)(x-11)=0
x=-60, x=11
Consider positive value for height
height = 11 inches
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A series of formulas that describe technical aspects of a system is a(n) _______ model.
a) textual
b) descriptive
c) graphical
d) mathematical
The correct option is d) mathematical
What is a technical system model?
A mathematical model is a set of equations or algorithms that represent technical aspects of a system. These equations or algorithms are used to predict or simulate system behavior and performance. Mathematical models are often used in engineering, science, economics, and other fields where complex systems need to be analyzed and optimized. For example, a mathematical model could be used to analyze how a communication network would perform with different levels of traffic or to predict how a chemical reaction would proceed under various conditions. Mathematical models are often represented graphically to provide a clear visualization of the complex relationships between variables within a system. Overall, mathematical models are an essential tool for designing, optimizing, and managing complex systems.
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I need the answer with steps pls
Answer:
x=-3
Step-by-step explanation:
-5x-2=13
+2. +2
-5x=15
/-5. /-5
x=-3
If the average product of labor is seven units of output per worker per day, the total output of 15 workers will be ______________ units per day.
The total output of 15 workers will be 105 units per day.Work and time are correlated so using this we could solve the question.
What is work and time?
Time is the duration of any activity or work that occurs or continues.
Work is a task or set of activities designed to achieve a specific result.
Main Body:
This can be done by simply multiplying both number of days and total work in one day.Hence the equation become:
total output = total workers*total work done by one person.
Total output = 7*15
hence,total output = 105 units
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