Answer:
so i got x=-3 i didnt get any signs in between
Step-by-step explanation:
Find the coordinates of point P that lies along the directed line segment from M to N and partitions the deferment in the ratio 3 to 2
The coordinates of point P that lies along the directed line segment from M to N and partitions the deferment in the ratio 3 to 2 is (6/ 5 , 0).
What is section formula?The line segment is divided into two pieces by a point, which may or may not be equal. If we know the coordinates of the point, we may calculate the ratio by which the supplied line segment is divided. Additionally, if we are aware of the ratio that the line segment connecting two places has produced, we can locate the point of division. The two can be accomplished using a section formula from coordinate geometry.
The coordinates of the points on the line are:
M = (-3, -3)
N = (4, 2)
m= 3
n = 2
Using the section formula we have:
M(x, y) = (mx2 + nx1 / m+n , my2 + ny1 /m + n)
M(x, y) = ((3)(4) + (2)(-3)) / (3 + 2) , (3)(2) + (2)(-3) / (3 + 2))
M (x, y) = (12 - 6 / 5 , 6. -6 / 5)
M (x, y) = (6/ 5 , 0)
Hence, the coordinates of point P that lies along the directed line segment from M to N and partitions the deferment in the ratio 3 to 2 is (6/ 5 , 0).
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How many millimeters are there in 7.89 meters?
O 7,890 millimeters
O 78,900 millimeters
O 789 millimeters
O 789,000 millimeters
Answer:
The first choice: 7,890 millimeters
Step-by-step explanation:
Remember that there are 100cm in a meter; there are 10mm in a centimeter.
100*10=1000
There are 1000 millimeters in a meter.
7.89*1000=7890
There are 7890 millimeters in 7.89 meters.
I hope this helps!!!
A clay specimen, 25 mm thick, has been tested in an oedometer apparatus with two way rainage, and it is observed that 50% of the consolidation settlement occurs in 1 hour. A ayer of the same clay is observed to settle 10 mm in 10 years and after many years to settle (total primary consolidation) by 35 mm. Determine the thickness of the clay layer if it drains only from upper surface
The thickness of the clay layer, which drains only from the upper surface, can be determined based on the consolidation settlement observations. With 50% of consolidation settlement occurring in 1 hour for a 25 mm thick specimen, and a total primary consolidation settlement of 35 mm occurring over many years, the thickness of the clay layer is approximately 87.5 mm.
The consolidation settlement of a clay specimen can be used to estimate the thickness of a clay layer that drains only from the upper surface. In this case, the observed settlement data provides valuable information.
Firstly, we know that 50% of the consolidation settlement occurs in 1 hour for a 25 mm thick clay specimen. This is an important parameter for calculating the coefficient of consolidation (Cv) using Terzaghi's theory. From the Cv value, we can estimate the time required for full consolidation settlement.
Secondly, we are given that the same clay settles 10 mm over 10 years and eventually settles a total of 35 mm over a longer period. This long-term settlement is known as the total primary consolidation settlement. By comparing this settlement value with the settlement data from the oedometer test, we can determine the thickness of the clay layer.
To calculate the thickness, we can use the concept of the consolidation settlement ratio. The ratio of the total primary consolidation settlement to the consolidation settlement at 50% completion is equal to the ratio of the total thickness to the thickness at 50% completion. Applying this ratio, we can determine that the thickness of the clay layer, which drains only from the upper surface, is approximately 87.5 mm.
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A simple random sample of 31 observations was taken from a large population that has a mean of 5.2 and a standard deviation of 1.1. From the sample, the average was calculated to be 5 and the standard deviation was computed as 0.92. The number 1.1 in this scenario is a
The number 1.1 in this scenario is the population standard deviation, which represents the variability of the entire population.
A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.
The sample standard deviation of 0.92 is an estimate of the population standard deviation based on the sample data. The sample mean of 5 is also an estimate of the population mean based on the sample data. By using the sample statistics, we can make inferences about the population parameters with a certain level of confidence.
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Consider the following differential equation:
¨y(t)+12˙y(t)+32y(t)=32u(t)
Taking u(t) as the input and y(t) as the output, do the following:
(a) Derive the expression for Y(s) assuming non zero initial conditions.
(b) Assume zero initial conditions, and determine the transfer function T(s) =Y(s)/U(s)
(c) Use partial fraction expansion and the inverse Laplace transform to derive the impulse response of this system
(d) Use the Routh table to determine if this system is stable. Discuss the relationship between the impulse response and BIBO stability of the system.
(a) The expression for Y(s) with non-zero initial conditions is given by:
Y(s) = 32/((s + 12)(s+32)) + y_0(s + 12)(s+32) Where, y_0 = y(t = 0)
(b) With zero initial conditions, the transfer function T(s) = Y(s)/U(s) is given by: T(s) = 32/((s + 12)(s+32))
(c) The impulse response of the system is given by the inverse Laplace transform of the transfer function: h(t) = 32(e^(-12t)-e^(-32t))
(d) The Routh table can be used to determine the BIBO stability of the system. If all of the entries in the Routh table are positive, then the system is BIBO stable. The impulse response of the system is related to its BIBO stability in that a BIBO stable system must have an impulse response that decays to zero as time increases. If the impulse response does not decay to zero, then the system is not BIBO stable.
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The largest numbers that can be divided by (without a remainder) both the numbers being compared (can be 1, can't be bigger than either number) is called the ______.
Answer:
GCF, Greatest Common Factor
Step-by-step explanation:
Hope this helped
volume of prism
25cm 40cm
Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.Find the value of day/dx when X = 1 and when Y = 1.
Answer:
The volume of a rectangular prism with length 25 cm and width 40 cm can be calculated as follows:
Volume = Length * Width * Height
Since the height is not given, we cannot calculate the exact volume.
Step-by-step explanation:
What is the domain? I need help on this problem
The domain of the function \(f(x) = \sqrt{\frac{1}{3}x + 2\) is (d) x ≥ -6
How to determine the domain of the functionFrom the question, we have the following parameters that can be used in our computation:
\(f(x) = \sqrt{\frac{1}{3}x + 2\)
Set the radicand greater than or equal to 0
So, we have
1/3x + 2 ≥ 0
Next, we have
1/3x ≥ -2
So, we have
x ≥ -6
Hence, the domain of the function is (d) x ≥ -6
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determine the equation of the circle graphed below
( help please )
9514 1404 393
Answer:
(x +2)^2 +(y -5)^2 = 9
Step-by-step explanation:
The circle shown has a radius of r = 3 and a center at (h, k) = (-2, 5).
The equation of a circle is ...
(x -h)^2 +(y -k)^2 = r^2
For the given center and radius, the equation is ...
(x +2)^2 +(y -5)^2 = 9
Evaluate. 5 5/8 plus 1 7/8
Answer:
should be 7 and 4, 8ths
Step-by-step explanation:
......
Evaluate using the value given: 5 + 12/z; use z=6
5 + 12/z = 5 + 12/6
= 5 + 2
= 7
Ans: 7
Please help me I’ll make u brainliest I swear please
Since the provided equation is inconsistent, it cannot intersect.
What is equation?The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign. A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.
Here,
we can see that the second set of equation,
4x+2y=12
20x+10y=30
4/20=2/10≠12/30
1/5=1/5≠2/5
The given equation is inconsistent so it does not intersect.
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If ( square root of 128 - square root of 72) is divided by square root of 8, the result is?
Answer:
\( \sqrt{128} - \sqrt{72} = 2.82842712474619 \\ \\ 2.82842712474619 \div \sqrt{8 } = 1\)
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30 Points!! Vivian is at a fair in Coachella Valley, California. Much of the valley lies below sea level. Vivian has brought along an altimeter to measure her elevation at different places in the valley. Vivian’s first ride was on the Ferris wheel. When she sat on the wheel at its lowest point, her altimeter read -9.6 feet. When she reached the top of the wheel, her altimeter read 12.3 feet.
Is the change in Vivian's elevation from the bottom of the Ferris wheel to the top a positive number or a negative number? Why?
Answer:
Its a postive number
Step-by-step explanation:
If you look it says she is at sea leveal wicth is 0 and she is going up 12.3 feet so its postive.
The change in elevation from the bottom of the Ferris wheel to the top is 21.9 feet, which is a positive number.
What is subtraction?The process of subtracting one number from another is known as subtraction.
Given that, the lowest point of the Ferris wheel is -9.6 feet, and the highest point is 12.3.
The change in elevation from the bottom of the Ferris wheel to the top of the Ferris wheel is,
12.3 - (-9.6)
=12.3 + 9.6
= 21.9
Hence, the change in elevation from the bottom of the Ferris wheel to the top is 21.9 feet, which is a positive number.
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Use the definition of even and odd integers to determine whether the expression is even or odd. Assume m and n are fixed integers. Hint: Write in the form of 2k or 2k+1 for some k∈Z. State what k= a. 5m+33
The expression 5m + 33 is always odd.
To determine whether an expression is even or odd, we need to analyze its form in relation to the definitions of even and odd integers.
An integer is considered even if it can be expressed in the form of 2k, where k is an integer. This means that the number is divisible by 2 without a remainder.
On the other hand, an integer is considered odd if it can be expressed in the form of 2k+1, where k is an integer. This means that the number is one more than an even multiple of 2.
In the given expression 5m + 33, the constant term 33 is already in the form of 2k+1, where k = 16. Therefore, no matter what value m takes, the expression will always have an odd value.
Hence, the expression 5m + 33 is always odd. [Odd integers, fixed integers, 2k+1]
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Six years more than
George's age is 16. How old is George?
What’s the answer
Answer:
george is 10.
Step-by-step explanation:
10+6=16
16-6=10
Accessibility Text Size Aa Aa Aa Type your answers into the boxes. A fish bowl contains blue, green and red plastic fish. When a fish is picked out at random, the probability of it being blue is 0.7 and the probability of it being green is 0.2. A prize is given if a red fish is picked out. What is the probability of Matt picking a red fish? (Give your answer as a decimal.) There are 60 fish in the fish bowl. How many of the fish are red?
Answer:
Step-by-step explanation:
Since the fish bowl contains blue, green and red plastic fishes, it means that a fish picked at random would be any of these colors.
the probability of it being blue is 0.7 and the probability of it being green is 0.2, then probability of Matt picking a red fish is
1 - (0.7 + 0.2) = 0.1
If there are 60 fishes in the fish bowl, then the number of fishes that are red is
0.1 × 60 = 6 fishes
HBI inc. seeks to schedule manual labor for 18 new homes being constructed. Historical data leads HBI to apply a 92 % learning curve rate to the manual labor portions of the project. If the first home requires 3,500 manual labor hours to build, estimate the time required to build:
a. the 5th house
b. the 10th house
c. all 18 houses
d. What would the manual labor estimate be for all 18 of the HBI houses in the problem above if the learning curve rate is 1) 70% 2) 75% 3) 80%
Please use a excel spreadsheet and explain how you got your answers in the excel spreadsheet with what to do and how to do it.
Using a 92% learning curve rate, the estimated manual labor hours required to build the 5th house would be 1,034 hours, the 10th house would be 692 hours, and all 18 houses combined would require 3,046 hours. Additionally, if the learning curve rates are 70%, 75%, and 80%, the estimated manual labor hours for all 18 houses would be 5,177, 4,308, and 3,636 hours, respectively.
The learning curve formula is given by \(Y = a * X^b\), where Y represents the cumulative average time per unit, X represents the cumulative number of units produced, a is the time required to produce the first unit, and b is the learning curve exponent.
In this case, the learning curve rate is 92%, which means the learning curve exponent (b) is calculated as log(0.92) / log(2) ≈ -0.0833.
a. To estimate the time required to build the 5th house, we can use the learning curve formula:
\(Y = a * X^b\)
\(Y(5) = 3500 * 5 ^ (-0.0833)\)
Y(5) ≈ 1034 hours
b. Similarly, the time required to build the 10th house can be estimated:
\(Y(10) = 3500 * 10^(-0.0833)\)
Y(10) ≈ 692 hours
c. The cumulative time required to build all 18 houses can be estimated by summing the individual estimates for each house:
\(Y(18) = 3500 * 18^(-0.0833)\)
Y(18) ≈ 3046 hours
d. To calculate the manual labor estimates for all 18 houses using different learning curve rates, we can apply the respective learning curve exponents to the formula. The results are as follows:
- For a 70% learning curve rate: Y(18) ≈ 5177 hours
- For a 75% learning curve rate: Y(18) ≈ 4308 hours
- For an 80% learning curve rate: Y(18) ≈ 3636 hours
In conclusion, using the given learning curve rate of 92%, the estimated time required to build the 5th house is 1034 hours, the 10th house is 692 hours, and all 18 houses combined would require 3046 hours. Additionally, different learning curve rates yield different manual labor estimates for all 18 houses.
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Suppose U = {1, {2, 3}, 3, d, {d, e}, e} is a universal set with the following subsets:
A = {{2, 3}, 3, {d, e}}, B = {1, {2, 3}, d, e} and C = {1, 3, d, e}.
Which one of the following sets represents B ∩ C? (the intersection of B and C)
Select one:
a.
{d, e}
b.
{3, {2, 3}}
c.
{1, 3, d, e}
d.
{1, d, e}
The set that represents the intersection of sets B and C is option d. {1, d, e}.
The intersection of two sets, B and C, consists of the elements that are common to both sets. Looking at the given sets, B = {1, {2, 3}, d, e} and C = {1, 3, d, e}, we can identify the elements that are present in both sets.
Set B contains the elements 1, {2, 3}, d, and e. Set C contains the elements 1, 3, d, and e. To find the intersection of B and C, we need to identify the elements that are present in both sets.
From the given sets, we can see that the elements {2, 3} and 3 are only present in set B and not in set C. Therefore, they are not part of the intersection.
The elements that are common to both sets B and C are 1, d, and e. These elements are present in both sets B and C. Hence, the intersection of B and C is {1, d, e}.
Therefore, option d. {1, d, e} represents the set B ∩ C.
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A rectangular sandbox is 3 feet by 4 feet. The depth of the box is 8 inches, but the depth of the sand is 3/4 of the depth of the box. Find each measure to the nearest tenth.
a. the surface area of the sandbox assuming there is no lid
The surface area of the sandbox assuming there is no lid is 21.3 feet
Calculating surface areaFrom the question, we are to determine the surface area of the sandbox
From the given information,
The dimension of the box is 3 feet by 4 feet
Thus,
Length = 4 feet
Width = 3 feet
and
The depth of the box is 8 inches
That is,
Height = 8 inches = 8/12 feet
Height = 2/3 feet
Now,
Using the formula for the surface area of a box
Surface area = (2lw + 2lh + 2wh)
If there is no lid,
The surface area becomes
Surface area = (lw + 2lh + 2wh)
Thus,
Surface area = (4×3 + 2×4×2/3 + 2×3×2/3)
Surface area = (12 + 16/3 + 4)
Surface area = (12 + 5.3 + 4)
Surface area = 21.3 feet
Hence, the surface area of the sandbox assuming there is no lid is 21.3 feet
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What is -11 + 3(b + 5) = 7
Answer:
b=1
Step-by-step explanation:
\(\sf -11 + 3(b + 5) = 7\)
First, let's regroup, terms,
\(\sf 3(b+5)-11=7\)
Add 11 to both sides,
\(\sf 3(b+5)=7+11\)
Simplify, 7+11 = 18,
\(\sf 3(b+5)=18\)
Now, divide both sides by 3,
\(\sf b+5=\frac{18}{3}\)
Simplify, 18/3 = 6,
\(\sf b+5=6\)
Subtract 5 from both sides,
\(\sf b=6-5\)
\(\sf b=1\)
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Help on piecewise functions! Thanks!
Answer:
x+3, if x<=-1
-x/4 - 1/4, if -1<x<3
-3, if x>=3
Step-by-step explanation:
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A car traveling at 15 m/s starts to negatively accelerate steadily. It comes to a complete stop in 35 seconds. What is its acceleration?
The acceleration of the car, which comes to a complete stop, is -0.42857 m/s².
The acceleration of the car can be found using the formula:
acceleration = (final velocity - initial velocity) / time.
In this case, the final velocity is 0 m/s, the initial velocity is 15 m/s, and the time is 35 seconds. Plugging these values into the formula gives:
acceleration = (0 - 15) / 35
acceleration = -15 / 35
acceleration = -0.42857 m/s²
Therefore, the car's acceleration is -0.42857 m/s². This means that the car is negatively accelerating, or decelerating, at a rate of 0.42857 m/s².´
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Guess the number! it is less than 300 000. there is a 1 in the thousands place. the digit in the thousands place is half the ones. the digit in the ones place is the same as the hundred thousands place. the digit in the ten thousands place is double the digit in the ones place. the digit in the tens and thousands place add to make 10. the digit in the hundreds place is the difference between the digits in the tens and ones places. drag the numbers into the boxes to show the mystery number.
If the difference is 2, then the hundreds place would be 2. If the difference is 4, then the hundreds place would be 4, and so on.
1. The digit in the thousands place is half the ones place. Since the ones place is not specified, let's consider all possible values. If the ones place is 2, then the thousands place would be 1. If the ones place is 4, then the thousands place would be 2, and so on.
2. The digit in the ones place is the same as the hundred thousands place. Since the ones place is the same as the hundred thousands place, it means the number is a palindrome. So, if the ones place is 2, then the hundred thousands place would be 2 as well. If the ones place is 4, then the hundred thousands place would also be 4, and so on.
3. The digit in the ten thousands place is double the digit in the ones place. If the ones place is 2, then the ten thousands place would be 4. If the ones place is 4, then the ten thousands place would be 8, and so on.
4. The digit in the tens and thousands place add to make 10. Let's consider all possible pairs of digits that add up to 10. For example, if the tens place is 6, then the thousands place would be 4. If the tens place is 8, then the thousands place would be 2, and so on.
5. The digit in the hundreds place is the difference between the digits in the tens and ones places. Let's consider all possible differences between the tens and ones places.
Based on these clues, we can have multiple relevant and creative answers, such as:
\(- 124421- 244842- 364763\)
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HELP!
Choose all that give the correct expression for the quantity described.
The difference of nine times a number x and the quotient of that number and 5.
9x − x over 5
Eight more than the quotient of twelve and a number n.
n over 12 + 8
The product of a number and the quantity ’six minus the number’ plus the quotient of eight and the number.
x(6 − x) + 8 over x
Sum of three consecutive even integers.2x + (2x + 2) + (2x + 4)
Answer:
did u ever get on answer cause I'm stuck in this too
Step-by-step explanation:
Use the graph to answer the question.
Determine the direction and degree of rotation used to create the image.
90 counterclockwise rotation
90 clockwise rotation
270 counterclockwise rotation
180 clockwise rotation
This represents the direction and degree of rotation utilised to make the image, which is 90 degrees anticlockwise.
what is degree of rotation ?When an item or form is rotated about a fixed point, generally the origin or a specified point in the plane, the amount of rotation that takes place is referred to as the degree of rotation. Angles are measured in degrees, where one full rotation equals 360 degrees. The amount of angle shift, expressed in degrees, that occurs when an item or shape is rotated is known as the degree of rotation. A shape has been turned a quarter of a full rotation anticlockwise, for instance, if it is rotated 90 degrees in that direction. Similar to this, a form has completed one-half of a full rotation if it is rotated 180 degrees.
given
The graph suggests that the image was rotated 90 degrees anticlockwise and in the other manner to make.
Compare the figure's initial placement (the grey triangle) to its final placement to see this (the red triangle).
One of the vertices on the grey triangle is pointing upward, and the other two are pointing to the right and left.
The red triangle's up-pointing vertex remains after the transformation, but the other two vertices now point down and up-left, respectively.
This represents the direction and degree of rotation utilised to make the image, which is 90 degrees anticlockwise.
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What are the new
dimensions if we shrink
the triangle below by a
scale factor of 1/3
Answer:
6 turns into 2, 18 turns into 6, and 12 turns into 4.
Step-by-step explanation:
What is the mean of the values in the dot plot?
Enter your answer in the box.
Answer:
the mean is 46.
Step-by-step explanation:
The total is 460 and divided by the amount of numbers(10) is 46.
Work out the value of (√2)4
Answer:
5.657
Step-by-step explanation:
Root 2=1.41421
1.41421 x 4 = 5.657
y=±\(\sqrt{x}\)
The required equivalent expression for y = ±√x is given as y² = x.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
here,
Given expression,
y = ±√x
Squaring both sides
y² = [±√x]²
y² = x
Thus, the required equivalent expression for y = ±√x is given as y² = x.
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Since the given question is incomplete,
The complete question is, to determine the equivalent expression for y = ±√x.