Answer:
Commutative Property of Addition
Sophie can cut Two-fifths ft piece from a 4 ft length of wood.
Answer:
she can cut 2/20=18 left
Step-by-step explanation:
Answer:
the anser is 10 edge 2022
Step-by-step explanation:
express the trinomial (x+1)(3x+2)
Answer:
3x^2+5x+2
Step-by-step explanation:
(3x^2)+(2x)+(3x)+(2)
3x^2+5x+2.
Answer:
3x²+5x+2
Step-by-step explanation:
(x+1)(3x+2)
(3x²)+(2x)+(3x)+(2)
3x²+5x+2.
You finally put the order in for the family shirts! You order 40 shirts and two-
fifths of the shirts are children-sized. How many of the shirts that you ordered
are adult-sized shirts?
There are 24 adult-sized shirts in the Order.
The number of adult-sized shirts in the order, we need to calculate two-fifths of the total number of shirts and subtract it from the total.
Given that the order consists of 40 shirts and two-fifths of the shirts are children-sized, we can calculate the number of children-sized shirts as follows:
Children-sized shirts = (2/5) * 40
= (2/5) * 40
= 16
Since the remaining shirts are adult-sized, we can find the number of adult-sized shirts by subtracting the number of children-sized shirts from the total number of shirts:
Adult-sized shirts = Total shirts - Children-sized shirts
= 40 - 16
= 24
Therefore, there are 24 adult-sized shirts in the order.
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Which other expression has the same value as (-14)-(-8)
pls help
Answer:
-14+8
Step-by-step explanation:
Two minus signs directly next to each other are equivalent to a plus sign.
Answer:
-14.8 = -112 gitu aja sudah amat jangan maen game
A security car is parked 25 ft from a movie theater. Find at what speed the reflection of the security strobe lights is moving along the wall of the movie theater when the reflection is 30 ft from the car. The strobe lights are rotating with the speed 2 revolutions per second.
Answer:
v=20π ft/s
Step-by-step explanation:
Given:
Distance from the security car to the movie theater, D=25 ft
Distance of the reflection from the car, d=30 ft
Speed of rotation of the strobe lights, 2 rev/s
To find the speed at which the reflection of the security strobe lights is moving along the wall of the movie theater, we need to calculate the linear velocity of the reflection when it is 30 ft from the car.
We can start by finding the angular velocity in radians per second. Since the strobe lights rotate at 2 revolutions per second, we can convert this to radians per second.
ω=2πf
=> ω=2π(2)
=> ω=4π rad/s
The distance between the security car and the reflection on the wall of the theater is...
r=30-25= 5 ft
The speed of reflection is given as (this is the linear velocity)...
v=ωr
Plug our know values into the equation.
v=ωr
=> v=(4π)(5)
∴ v=20π ft/s
Thus, the problem is solved.
The speed of the reflection of the security strobe lights along the wall of the movie theater is 2π ft/s.
To solve this problem, we can use the concept of related rates. Let's consider the following variables:
x: Distance between the security car and the movie theater wall
y: Distance between the reflection of the security strobe lights and the security car
θ: Angle between the line connecting the security car and the movie theater wall and the line connecting the security car and the reflection of the strobe lights
We are given:
x = 25 ft (constant)
y = 30 ft (changing)
θ = 2 revolutions per second (constant)
We need to find the speed at which the reflection of the security strobe lights is moving along the wall (dy/dt) when the reflection is 30 ft from the car.
Since we have a right triangle formed by the security car, the movie theater wall, and the reflection of the strobe lights, we can use the Pythagorean theorem:
x^2 + y^2 = z^2
Differentiating both sides of the equation with respect to time (t), we get:
2x(dx/dt) + 2y(dy/dt) = 2z(dz/dt)
Since x is constant, dx/dt = 0. Also, dz/dt is the rate at which the angle θ is changing, which is given as 2 revolutions per second.
Plugging in the known values, we have:
2(25)(0) + 2(30)(dy/dt) = 2(30)(2π)
Simplifying the equation, we find:
60(dy/dt) = 120π
Dividing both sides by 60, we get:
dy/dt = 2π ft/s
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a set of data is found to have a sample variance of 81. suppose that 16 is added to each of the numbers in the data set. circle the standard deviation of the new data set?
The required standard deviation of the new data set is 9.
What is standard deviation?The term "standard deviation" (or "") refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.
According to question:When 16 is added to each number in the data set, the variance of the new data set is not affected. The variance of a data set is the average of the squared deviations of the data values from the mean, and adding a constant to each data value shifts the mean but does not affect the deviations or their squares.
However, the standard deviation, which is the square root of the variance, will change because the standard deviation is expressed in the same units as the original data, while the variance is expressed in squared units. To find the standard deviation of the new data set, we need to take the square root of the variance, which is 81, and add 16 to each data value. The standard deviation of the new data set is equal to the square root of 81 + 16 = 9.
So, the standard deviation of the new data set is 9.
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The bases of the prism below are right triangles. If the prism's height
measures 8 units and its volume is 128 units³, solve for x.
Answer: A The volume V of a prism is V = Bh, where B is the area of a base and h is the height of the prism. 3. the oblique rectangular prism shown .
right triangular prism has its three rectangular sides congruent. Also, the two triangular bases are parallel and congruent to each other. The rectangular or lateral faces are perpendicular to the triangular bases Answer and Explanation: To find the height of a triangular prism, we can use the following formula: h = V / Ab. The two most basic equations are: volume = 0.5 * b * h * length , where b is the length of the base of the triangle, h is the height of the triangle, and length is prism length
Student a says the δ h value of an exothermic energy change is always positive. Student b says δ h value of an exothermic energy change is always negative. Who is correct?.
Find the area or the region bounded by the curves y = x^3 and y = x.
wgiven the functions
\(y=x^3\)\(y=x\)the area of the curve is given by the integral
the limits are defined by
\(y1=y2\)\(x^3=x\)\(x^3-x=0\)\(x(x+1)(x-1)=0\)\(x=0;x=-1;x=1\)the defined integral for the ara is given by
\(A=-\int_{-1}^0x-x^3dx+\int_0^1x-x^3dx\)\(A=2\int_0^1x-x^3dx\)\(A=2\lbrack\frac{x^2}{2}-\frac{x^4}{4}\rbrack_0^1\)\(A=2\lbrack\frac{1^2}{2}-\frac{1^4}{4}\rbrack_^-2\lbrack\frac{0^2}{2}-\frac{0^4}{4}\rbrack\)\(A=2\lbrack\frac{1^2}{2}-\frac{1^4}{4}\rbrack_^\)\(A=2*\frac{1}{4}\)\(A=\frac{2}{4}=\frac{1}{2}\)A= 1/2= 0.5
In an automatic clothes drier, a hollow cylinder moves the clothes on a vertical circle (radius r=0.512 m ), as the drawing shows. The appliance is designed so that the clothes tumble gently as they dry. This means that when a piece of clothing reaches an angle of θ above the horizontal, it loses contact with the wall of the cylinder and falls onto the clothes below. How many revolutions per second should the cylinder make in order that the clothes lose contact with the wall when θ= 54.0∘?
The cylinder should make approximately 0.3097 revolutions per second in order for the clothes to lose contact with the wall at an angle of 54.0°.
To determine the required number of revolutions per second for the cylinder in order for the clothes to lose contact with the wall at a specific angle, we can use the concept of centripetal acceleration.
The centripetal acceleration experienced by an object moving in a circular path of radius r at a speed v is given by the formula:
\(a = v^2 / r\)
In this case, when the clothes lose contact with the wall, the net force acting on them is the gravitational force pulling them downward, which can be expressed as:
mg = m * g
Since the gravitational force provides the centripetal force for the clothes, we can equate the centripetal acceleration to the gravitational acceleration:
v^2 / r = g
To solve for the speed v, we need to find the circumference of the circular path. The circumference C can be calculated as:
C = 2πr
Substituting this into the equation above, we have:
v^2 / (2πr) = g
Now, we need to find the required speed v when the clothes lose contact with the wall at an angle of θ = 54.0°. We can use the angle θ to find the arc length traveled by the clothes on the circular path.
The arc length s can be calculated as:
s = θ * r
Substituting the given values, we have:
s = (54.0°) * (0.512 m)
Next, we can calculate the time it takes for the clothes to traverse the arc length s at the required speed v. The time t can be calculated as:
t = s / v
Now, since we want to find the number of revolutions per second, we need to convert the time t into seconds per revolution (s/rev). Since each revolution covers the circumference C, the time for one revolution is:
t_rev = C / v
Finally, the number of revolutions per second is given by the reciprocal of the time for one revolution:
Rev/s = 1 / t_rev
Let's calculate the required number of revolutions per second using the given values. Assuming the acceleration due to gravity is approximately 9.8 m/s²:
r = 0.512 m (radius)
θ = 54.0° (angle)
g = 9.8 m/s² (acceleration due to gravity)
First, calculate the arc length s:
s = (54.0°) * (0.512 m) = 27.648 m
Next, calculate the required speed v using the centripetal acceleration equation:
v^2 / (2πr) = g
v^2 / (2π * 0.512 m) = 9.8 m/s²
v^2 = (2π * 0.512 m) * (9.8 m/s²)
v^2 = 10.0384 m²/s²
v ≈ 3.1687 m/s
Now, calculate the time for one revolution:
t_rev = (2π * 0.512 m) / (3.1687 m/s) ≈ 3.2321 s/rev
Finally, calculate the number of revolutions per second:
Rev/s = 1 / (3.2321 s/rev) ≈ 0.3097 rev/s
Therefore, the cylinder should make approximately 0.3097 revolutions per second in order for the clothes to lose contact with the wall at an angle of 54.0°.
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help me please !!! I DONT KNOW WHAT TO PUT PLS HELP ME
Un joven tiene que subir un maletín a la altura de 1 metro o solamente sostenerlo durante 1 hora en cual de las dos tareas realiza más trabajo? ¿Por que?
Answer:
Creo que la acción que hace más trabajo es el hombre que lleva el maletín 1 metro porque demuestra el esfuerzo físico que es la definición de trabajo.
Step-by-step explanation:
What is the range of the function graphed below?
I haven't did this in a long time it might be B
Write expression that is equivalent to 1/4 a -3
How many subsets does the set T = {salsa, sour cream, queso, guacamole, pico de gallo} have?Question 49 options:a) 5b) 0c) 25d) 32
SOLUTION:
Step 1:
In this question, we are given the following:
How many subsets does the set T = {salsa, sour cream, queso, guacamole, pico de gallo} have?
Step 2:
The details of the solution are as follows:
Recall that:
The empty set and the set itelf are also part of the subsets that must be included as part of the number of subsets.
If a set has “n” elements,
then the number of subset of the given set is
\(2^n\)Hence, the total number of subsets will be:
\(2^5=\text{ 32 \lparen OPTION D \rparen}\)CONCLUSION:
The final answer is:
\(32\text{ \lparen OPTION D \rparen}\)(DESPERATE PLEASE HURRY)
question down below
please show the work
Answer:
-8
Step-by-step explanation:
16(m) = -128
The opposite of multiplication is division, so 16(m) = =128 is equal to -128 divided by 16 = m
-128 divided by 16 = -8
16(-8) = -128
The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 7 to 4. If there were 8085 total votes, how many no
votes were there?
There are 2940 no votes.
From the question, we have
there were 8085 total votes
ratio= 7 :4
No votes = 4/11*8085
=2940
Divide:
Divide, in its simplest form, means to divide into two or more equivalent portions, spaces, groups, or divisions. Divide, in plain English, means to provide the entire thing to a group in equal portions or to divide it into equal pieces. Let's say a square is divided into two triangles with equal areas by a diagonal. A division operation may or may not provide an integer as the outcome. The outcome may occasionally take the form of decimal numbers.
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Please answer correctly will mark brainliest for correct answer and will follow - Thank you ;)
Answer:
Concept: Rectangular Figures
We want the perimeter, we are missing side AB We are told AB= CD+EF+GHHence: 2cm+2cm + 2 cm= 6 cm = ABHence: BC= 2+3+2=7 cm So we have everything we need: 6+7+2+2+2+3+2+2= 25 unitsWhat is the numerical Absolute values of -16
Answer:
16
Step-by-step explanation:
The absolute value always gives a positive value , that is
| - a | = | a | = a , then
| - 16 | = | 16 | = 16
Area of sector is to
as arc measure is to 360 degrees.
diameter
circle area
semicircle
circumference of circle
Answer:
circle area
Step-by-step explanation:
A full circle contains 360 degrees. So, an arc of 360 degrees would just be a circle.
The area of a sector is to the circle area
How to complete the blank?The area of a circle is:
\(A = \pi r^2\)
The area of a sector is:
\(a = \frac{\theta}{360} * \pi r^2\)
Substitute \(A = \pi r^2\) in the above equation
\(a = \frac{\theta}{360} * A\)
The above means that the area of a sector is a fraction of the circle area
Hence, the area of a sector is to the circle area
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which of the following statistics can be used to objectively quantify the level of agreement between different screeners appraising an article in a systematic review?
The statistic that can be used to objectively quantify the level of agreement between different screeners appraising an article in a systematic review is the inter-rater reliability coefficient, such as Cohen's kappa or Fleiss' kappa.
In a systematic review, multiple screeners may independently appraise articles to ensure consistency and minimize bias. The inter-rater reliability coefficient, such as Cohen's kappa or Fleiss' kappa, is used to measure the agreement between these screeners. These statistics provide a quantitative measure of the extent to which the screeners' assessments align with each other beyond what would be expected by chance. Higher values of the inter-rater reliability coefficient indicate greater agreement among the screeners, suggesting more reliable and consistent evaluations of the articles in the systematic review.
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Need help here guys.....
three similar bars of length 200 cm , 300cm and 360 cm are cut into equal pieces. find
the largest possible
area of square which
can be made from any of the three pieces.(3mks)
The largest possible area of a square that can be made from any of the three pieces is \((400 cm)^{2}\)
To find the largest possible area of a square that can be made from any of the three similar bars of length 200 cm, 300 cm, and 360 cm, you need to first determine the greatest common divisor (GCD) of their lengths.
Step 1: Find the GCD of 200, 300, and 360.
The prime factorization of 200 is \((2^{3})(5^{2})\), of 300 is \((2^{2})(3)(5^{2})\), and of 360 is \((2^{3})(3^{2})(5)\). The GCD is the product of the lowest powers of common factors, which is \((2^{2})5=20\).
Step 2: Determine the side length of the largest square.
Since the bars are cut into equal pieces with a length of 20 cm (the GCD), the largest square will have a side length of 20 cm.
Step 3: Calculate the largest possible area of the square.
The area of the square can be found by multiplying the side length by itself: \(Area = (side)^{2}\).
\(Area = (20 cm)(20 cm) = (400 cm)^{2}\).
So, the largest possible area of a square that can be made from any of the three pieces is \((400 cm)^{2}\).
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Question 2: The fastest The The fastest clapper in the world can clap 720 times in 60
seconds. What is the unit rate?
A) 1 clap in 12 seconds
B) 12 claps per second
C) 720 claps in 60 seconds
D) 72 claps in 6 seconds
Answer:
B).
Step-by-step explanation:
Unit rate = 720/60
= 72/6
= 12.
- and sore hands!!!!
A bag contains 6 red marbles and 11 blue marbles. You are going to choose a marble at
random. Event A is choosing a red marble. Event B is choosing a blue marble. What is
P(A ∩ B)?
P(A ∩ B) =
The probability of choosing a red marble and a blue marble at the same time is zero because the events A and B are mutually exclusive.
Event A represents choosing a red marble, and event B represents choosing a blue marble. These events are mutually exclusive, meaning they cannot both occur at the same time. If you choose a red marble, you cannot also choose a blue marble in the same attempt. Thus, the probability of both events happening together, P(A ∩ B), is 0.
The probability of choosing both a red and blue marble at the same time, P(A ∩ B), is 0 since these events are mutually exclusive.
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pls help this assignment is due tomorrow!!!! square root of 144x^3
Answer:
Step-by-step explanation:
First take the square root of the first number 144, then take the square root of your variable x^3
your final answer should be 12x^(3/2)
Two students collect baseball cards. Shushu has 210 cards, and Vivak has 160 cards. Shushu adds 8 new cards to her collection each month, and Vivak adds 13 new cards each month. After how many months will they have the same number of baseball cards?
If Shushu adds 8 new cards to her collection each month, and Vivak adds 13 new cards each month. The number of months they have the same number of baseball cards is 10 months.
How to determine the number of months?Let m represent the number of months they will both have the same number of cards.
First step is to formulate an equation
210 +8 × m = 160 +13 × m
Rearrange
8m - 13m =160 -210
-5m = -50
Divide both side by -5m
m = -50/ -5
m = 10 months
Therefore the number of months is 10 months.
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Use your calculator to evaluate a¯=−3.7meter/second−13.9meter/second21.4second−7.2second. Part A Average acceleration Use your calculator to evaluate -3.7 meter/second-13.9 meter/second 21.4 second-72…
The average acceleration is - 1.24 m/s². The result is calculated by using calculator. See the picture in the attachment!
What is average acceleration?Average acceleration is the rate of change in velocity per unit time. The formula can be expressed as
\(\overline{a} = \frac{v_{2} - v_{1}}{t_{2} - t_{1}}\)
Where
v₂ = final velocityv₁ = initial velocityt₂ = final timet₁ = initial timeCalculate this average acceleration using calculator!
\(\overline{a} = \frac{-3.7 \: m/s \: - 13.9 \: m/s}{21.4 \: s- 7.2 \: s}\)
See the picture in the attachment!
The average acceleration after rounding is
\(\overline{a} = -1.23943661972 \: m/s \: /s\)
\(\overline{a} = -1.24 \: m/s^{2}\)
Hence, the average acceleration from the data is - 1.24 m/s².
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brandon and jerry like to play video games. brandon has vvv video games, and jerry has 292929 video games. together they have a total of 737373 video games. write an equation to describe this situation.
The equation to describe the situation is v + 29,2929 = 7373, where "v" represents the number of video games that Brandon has.
To solve this problem, we start by defining the variable "v" as the number of video games that Brandon has. We are given that Jerry has 29,2929 video games, and together they have a total of 737373 video games. Therefore, the total number of video games they have together is equal to the sum of the number of video games that Brandon and Jerry have: v + 29,2929 = 7373. To solve for "v", we can subtract 29,2929 from both sides of the equation, giving us v = 7373 - 29,2929. Simplifying this expression, we get v = -21,919. Since it doesn't make sense for the number of video games to be negative, we can conclude that there is no solution to this equation. This may mean that there was an error in the original problem statement, or that some information is missing.
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Find the equation that intersects the x-axis at point (3, 0) and
intersects the y-axis at
point (0, 5). Then sketch the diagram.
The equation of the line that intersects the x-axis at point (3, 0) and intersects the y-axis at point (0, 5) is y = (-5/3)x + 5.
To find the equation of a line that intersects the x-axis at point (3, 0) and intersects the y-axis at point (0, 5), we can use the slope-intercept form of a linear equation, which is y = mx + b. Given the point (3, 0) on the x-axis, we know that when x = 3, y = 0. This gives us one point on the line, and we can use it to calculate the slope (m).
Using the slope formula: m = (y2 - y1) / (x2 - x1)
Substituting the values (0 - 5) / (3 - 0) = -5 / 3
So, the slope (m) is -5/3. Now, we can substitute the slope and one of the given points (0, 5) into the slope-intercept form (y = mx + b) to find the y-intercept (b).
Using the point (0, 5):
5 = (-5/3) * 0 + b
5 = b
The y-intercept (b) is 5. Therefore, the equation of the line that intersects the x-axis at point (3, 0) and intersects the y-axis at point (0, 5) is:
y = (-5/3)x + 5
To sketch the diagram, plot the points (3, 0) and (0, 5) on the x-y plane and draw a straight line passing through these two points. This line represents the graph of the equation y = (-5/3)x + 5.
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How many sides does a regular polygon have if the measure of an exterior angle is 18⁰?
Answer:
We do this by dividing 360° by the size of one exterior angle, which is 72°. The answer is 360° ÷ 72° = 5 sides. to see whether you are correct.