Answer:
(2,4),(−1,1)
Step-by-step explanation:
2. 3x = 18 then the value of x is
Answer:
x=6
Step-by-step explanation:
(I don't know if you mean question 2 3x= 18 or 2 times 3x = 18)
2.3x = 18
3x = 18 / 2 = 9
x = 9/3 = 3
Or : x = 18/3 = 6
A stick is 5 m long. A rope is 12 times as long as the stick. If the rope is divided into 3 pieces, how many meters long is each piece of rope?
I will give brainliest if you are right.
Answer:
20 meters
Step-by-step explanation:
Stick is 5m long
The rope is 12 times as long as the stick
5*12 is 60
60/3 is 20
20 meters. Hope this helps
Merry Christmas!
T/F. Exception reports show a greater level of detail than is included in routine reports.
True. Exception reports show a greater level of detail than is included in routine reports.
Exception reports are reports that help in identifying data that does not conform to expected patterns. Exception reports show information about an exception in the data set.
This helps to identify irregularities or anomalies in data or system operations.Exception reports are used to analyze system performance, monitor resource consumption, and to detect unusual activity.
This type of report is important to identify issues or errors, where the routine reports or standard reports would not provide enough detail or insight to do so.
It provides detailed information on any unusual event or anomaly that occurred beyond the usual course of events or processes.Exception reports are generated and distributed when the data is not expected or when an event occurs that is outside of what is considered typical.
For example, a financial system might generate an exception report if a transaction is entered that exceeds the maximum allowed amount. This report would show the details of the transaction and highlight the exception.
The purpose of exception reports is to provide users with a higher level of detail than they would find in routine reports. Exception reports are used to highlight significant data, which will be used for further analysis or action.
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a 8-meter ladder is leaning against the wall of a building, and the base of the ladder is sliding away from the building at a rate of 5 meters per second. how fast is the top of the ladder sliding down the wall when the base of the ladder is 6 meters from the wall?
Height of the ladder on the wall in decreasing at the rate of ≈ 6m/s
What is differentiation ?Finding a function's derivative, or rate of change, is the process of differentiation in mathematics. The practical approach of differentiation can be performed utilizing only algebraic operations, three fundamental derivatives, four principles of operation, and an understanding of how to manipulate functions, in contrast to the theory's abstract character.
Calculationlet ym be the height of wall at which ladder touches
Also let the foot of ladder be xm away from the wall
then by the pythagoras theorem we have ,
\(x^{2} +y^{2} =\) 64 [ length of ladder = 8 m ]
⇒ y = \(\sqrt{64 - x^{2} }\)
then , the rate of change of height (y) with respect to time (t) is given by
\(\frac{dy}{dt}=\frac{-x}{\sqrt{64 - x^{2} }} . \frac{dx}{dt}\)
it is given that \(\frac{dx}{dt}\) = 5 m/s
∴ \(\frac{dy}{dt}=\) \(\frac{-5x}{\sqrt{64 - x^{2} }}\)
now when x = 6m , we have :
\(\frac{dy}{dt} = \frac{-5 * 6}{\sqrt{64 - 6^{2} }}\)
= -30 / 5 .3
= -5.660377358490566
therefore height of the ladder on the wall in decreasing at the rate of ≈ 6m/s
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OFFERING 88 POINTS AND BRAINLIEST TO THE FIRST ANSWER PLEASE HELP ME FAST
Answer
\(168in^{2}\)
Step-by-step explanation:
SA=2(wl+hl+hw)
2·(6·2+9·2+9·6)
=168
A tank in the shape of an inverted cone 12 feet tall and 3 feet in radius is full of water. Calculate the work W required to pump all the water over the edge of the tank.
The work required to pump all the water over the edge of the tank is approximately 271,433.64 foot-pounds.
To calculate the work required to pump all the water over the edge of the tank, we need to consider the weight of the water in the tank and the height it is lifted.
First, let's find the volume of the water in the tank. The volume of a cone is given by the formula V = (1/3)πr²h, where r is the radius and h is the height. Plugging in the values, we have:
V = (1/3)π(3²)(12)
= (1/3)π(9)(12)
= 36π
Next, we need to find the weight of the water. The weight of an object is given by the formula W = mg, where m is the mass and g is the acceleration due to gravity. The mass of the water can be found by multiplying its volume by the density of water, which is approximately 62.4 pounds per cubic foot:
m = (36π)(62.4)
≈ 22619.47 pounds
Now, we can calculate the work done by multiplying the weight of the water by the height it is lifted. In this case, the height is 12 feet:
W = (22619.47)(12)
≈ 271433.64 foot-pounds
Therefore, the work required to pump all the water over the edge of the tank is approximately 271,433.64 foot-pounds.
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The work required to pump water out of an inverted conical tank involves calculating the pressure-volume work at infinitesimally small volumes within the tank and integrating this over the entire volume of the tank. This provides an interesting application of integral calculus in Physics.
Explanation:The question requires the concept of work in Physics applied to a fluid, in this case, water lying within an inverted conical tank. Work is done when force is applied over a distance, as stated by work = force x distance. In the fluid analogy, the 'force' link is the pressure exerted on the water and the distance is the change in volume of the fluid. Therefore, work done (W) = Pressure x Change in Volume (ΔV).
In this scenario, you are required to pump out water from an inverted conical tank, hence, the work you do is against the gravitational force pulling the water downwards. To calculate the total work done, you have to consider the work done at each infinitesimally small (hence, constant pressure) strip of volume and integrate over the entire volume of the tank.
The detail of calculation would require the knowledge of integral calculus and the formula for volume of a cone. I recommend considering this as an interesting application of integrals in Physics. Also remember that the volume of a cone = 1/3πr²h, where 'r' is the radius of base and 'h' is the height of cone.
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Help please
I provided screenshots of the problem below.
Answer:
This is the graph of a sine function
The y-intercept of the graph is the function value y=0
The smallest positive x-intercept of the graph is located at x=pi/2
The greatest value of y is y=2
For x between x=-pi and x=pi/2, the function value y=>0
Step-by-step explanation:
Discontinuity
I need help to solve this to know if it is continuous or discontinuous I’ll mark the best answer the branliest
Answer:
undefined
Step-by-step explanation:
I got 4=1 after solving
at 4=1 is false, therefore the equation has no solution.
Anthony finds some nickels and pennies in his change purse. How much money (in dollars) does he have if he has 100 nickels and 60 pennies? How much money (in dollars) does he have if he has xx nickels and yy pennies?
Total value, 100 nickels and 60 pennies (dollars):
Total value, xx nickels and yy pennies (dollars):
Answer:
Nickels are equal to 5 cent and pennies are equal to 1 so:
5 times 100 = 500
1 times 60 = 60
500 + 60 = 560
560 converted to dollars would be $5.60!
Step-by-step explanation:
Hope it helps! =D
The graph below show the cost of tomato plants for each purchased. What is the cost of one tomato plant
Answer:
There is no phone...so i dont know what the numbers are....
Step-by-step explanation:
What are the first five terms of the following sequence a1=42, an=an-1-7
The first five term of the sequence are 42, 35, 28, 21 and 14.
According to the given question.
We have a rule for finding the terms of a sequence i.e. \(a_{n} = a_{n-1} -7\).
Also, the first term of the sequence is a1 = 42
Therefore,
The second term of the sequence is given by
Second term \(a_{2}\) = \(a_{1}\) - 7
⇒ Second term = 42 - 7 = 35
Similarly,
The third term of the sequence, \(a_{3}\) = \(a_{2}\) - 7 = 35 - 7 = 28
Fourth term of the sequence = 28 - 7 = 21
Fifth term of the sequence = 21 - 7 = 14
Hence, the first five term of the sequence are 42, 35, 28, 21 and 14.
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Which best describes what the Central Limit Theorem states? The distribution of means of random samples pulled from a population will be normally distributed if the sample size is large enough. All distributions have the same mean. The distribution of standard deviations of random samples pulled from a population will be normally distributed if the sample size is large enough. All distributions are close enough to normally distributed to use the normal distribution as a approximation.
The statement that best describes the Central Limit Theorem is (a) The distribution of means of random samples pulled from a population will be normally distributed if the sample size is large enough.
The Central Limit Theorem (CLT) states that if repeated random samples is taken from a population with a finite mean and standard deviation, then the distribution of the sample means will approach a normal distribution, even if the original population is not normally distributed.
The larger the sample size, the more closely the sample means will approximate a normal distribution.
which means that, for example, if we take multiple samples of size 100 from a population and calculate the average of each sample, the distribution of those sample means will be approximately normally distributed, regardless of the original shape of the population.
The given question is incomplete , the complete question is
Which best describes what the Central Limit Theorem states ?
(a) The distribution of means of random samples pulled from a population will be normally distributed if the sample size is large enough.
(b) All distributions have the same mean.
(c) The distribution of standard deviations of random samples pulled from a population will be normally distributed if the sample size is large enough.
(d) All distributions are close enough to normally distributed to use the normal distribution as a approximation.
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Which linear equality will not have a shared solutionset with the graphed linear inequality?Oy> ²x + 2Oy<-5x-72Oy>-x-5Oy < 5 x + 2
The linear inequality y</5/2 x - 7 does not have any common solution set with the given inequality.
The solution sets of the linear inequality are drawn in the graph attached below,
From the graph it is seen that the yellow part represents the inequality y≥-5/2 x - 3
And the green section of the graph represents the other inequality
y<-5/2 x - 7
As we can see in the graph that the two areas are separate. So there are no common points.
Again if we consider the two inequalities as two lines y= -5/2 x - 3
and y = -5/2 x - 7 . we can see that they both have the same slopes of -5/2 so they are parallel lines. so they will never intersect.
Therefore we can conclude that the inequality y</5/2 x - 7 does not have any common solution set with the given inequality.
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water is leaking out of an inverted conical tank at a rate of 11,500 cm3/min at the same time that water is being pumped into the tank at a constant rate. the tank has height 6 m and the diameter at the top is 4 m. if the water level is rising at a rate of 20 cm/min when the height of the water is 2 m, find the rate at which water is being pumped into the tank
The rate at which water is being pumped into the tank is 11,766.667 cm3/min.
Let V1 be the rate of water being pumped into the tank and V2 be the rate of water leaking out of the tank.
V1 - V2 = 11,500 cm3/min
Let h be the height of the water in the tank.
Volume of water in the tank = (π/3)*(D2*h - D1*h1)
Where D1 = 0 m and D2 = 4 m
Rate of change of volume = (π/3)(D2(dh/dt) - D1*(dh/dt))
Rate of change of volume = (π/3)(4(20 cm/min) - 0*(20 cm/min))
Rate of change of volume = (π/3)×(80 cm3/min)
V1 - V2 = (π/3)×(80 cm3/min)
V1 = V2 + (π/3)×(80 cm3/min)
V1 = 11,500 cm3/min + (π/3)×(80 cm3/min)
V1 = 11,500 cm3/min + 266.667 cm3/min
V1 = 11,766.667 cm3/min
Hence, the rate at which water is being pumped into the tank is 11,766.667 cm3/min.
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According to a nutrition coach, a 100 kg person should eat
0.07 kg of protein. What percent of a person's body weight should they eat
in protein? (round to 2 decimal places) *
Answer:
0.07%
Step-by-step explanation:
This equation is solving for what percentage of 100 kg is 0.07 kg.
1. Set up the equation
\(\frac{0.07}{100}\) = \(\frac{x}{100}\)
0.07 kg out of 100 kg is equal to x out of 100 because x represents the percentage and percentages are out of 100.
2. Solve by cross multiplying
100x = 7
3. Solve for x by dividing both sides by 100
x = 0.07
The answer is 0.07%
4. There are major chords built on what three notes (with all white notes and no accidentals)? O CFG O ABC GEB OCDE
The three major chords built on white notes without accidentals are:
1. C major chord (C, E, G)
2. F major chord (F, A, C)
3. G major chord (G, B, D)
These chords are formed by taking the root note, skipping one white note, and adding the next white note on top. For example, in the C major chord, the notes C, E, and G are played together to create a harmonious sound.
Similarly, the F major chord is formed by playing F, A, and C, and the G major chord is formed by playing G, B, and D. These three major chords are commonly used in various musical compositions and are fundamental building blocks in music theory.
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27. Albright Motors is expected to pay a year-end dividend of \( \$ 3 \) a share \( \left(D_{1}=\$ 3.00\right) \), then a divivend of \( \$ 5 \) in 2 years \( \left(\mathrm{D}_{2}=\$ 5.00\right) \), a
Albright Motors is expected to pay a year-end dividend of $3 per share \((\(D_1 = \$3.00\))\), followed by a dividend of $5 in 2 years \((\(D_2 = \$5.00\))\). To calculate the present value of these future dividends, we can use the concept of discounting to determine the current value of the expected dividends.
The present value of future dividends can be calculated using the formula:
Present Value = \(\(\frac{{D_1}}{{(1 + r)^1}} + \frac{{D_2}}{{(1 + r)^2}}\)\)
where \(\(D_1\) and \(D_2\)\) are the future dividends and \(\(r\)\) is the required rate of return or discount rate.
In this case, the dividend \(\(D_1\)\) is $3 and the dividend \(\(D_2\)\) is $5. To find the required rate of return \((\(r\))\), we need additional information such as the stock price or market value of Albright Motors' shares. Without that information, we cannot determine the exact value of the required rate of return or calculate the present value of the dividends.
Once the required rate of return is known, we can substitute the values into the formula to calculate the present value of the future dividends. The present value represents the current value of the expected dividends, taking into account the time value of money.
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The graph of a quadratic function j is shown on the coordinate grid. The coordinates of the intercepts and the vertex are integers.
What is the minimum value of j?
Find the missing angle measures.
The missing angle measures are;
Angle 1 = 133°Angle 2 = 94°Angle 3 = 25°Angle 4 = 25°Angle 5 = 43°Angle 6 = 43°What are the missing angles?The triangle is an isosceles triangle with two equal sides and angles
Angle 1 = 133°
Angle 2 = 360° - 133° - 133° (Angle at a point)
= 94°
Angle 3 = 180° - (22 + 133)° (Sum of angle in a triangle)
= 180 - 155
= 25°
Angle 4 = 25° (Same rule as angle 3)
Angle 5 and 6 = x
Opposite angles in an isosceles triangle are equal
x + x + 94° = 180°
2x + 94° = 180°
2x = 180 - 94
2x = 86
x = 43°
Hence, the sum of angle in a triangle is equal to 180°
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because of strong headwinds, an airplane’s ground speed for the first half of a 2000 km trip average only 600 km/h. what must it’s ground speed be for the rest of the trip if it is to average 720 km/h for the entire trip?
Answer:
its 3,320 km/h
your welcome my job is to help you
Select the correct answer.
The graph of function f is shown.
Function g is represented by the table.
x -1 0 1 2 3
g(x) 15 3 0
Which statement correctly compares the two functions?
A.
They have the same x- and y-intercepts.
B.
They have the same y-intercept and the same end behavior as x approaches ∞.
C.
They have different x- and y-intercepts but the same end behavior as x approaches ∞.
D.
They have the same x-intercept but different end behavior as x approaches ∞.
Answer:
The answer will be A
hope this helps :)
3/4=m+1/4
What is m
Answer:
m = 1/2
Step-by-step explanation:
We need to solve the equation:
3/4 = m + 1/4
In order to solve for m, we must isolate the variable - in other words, we need to move all the m terms to one side and all the non-m terms to the other.
So, subtract 1/4 from both sides to isolate m:
3/4 - 1/4 = m
m = 2/4 = 1/2
Thus, m = 1/2.
~ an aesthetics lover
Pls help explain the graphs function things below! Asap!
Answer:
The graphs of the three functions A, B, and C are all different because they have different coefficients and signs in front of the absolute value function. Here is an explanation of the differences between the graphs:
A. f(x) = - |x|
This function is the opposite of the absolute value function. It takes the absolute value of x, and then multiplies the result by -1. This means that for any value of x, the output of the function is the negative of the absolute value of x. The graph of this function is a "V" shape that opens downward, with the vertex at the origin (0,0).
B. f(x) = 3/4 |x|
This function is a scaled version of the absolute value function. It takes the absolute value of x, and then multiplies the result by 3/4. This means that for any value of x, the output of the function is 3/4 of the absolute value of x. The graph of this function is a "V" shape that opens upward, with the vertex at the origin (0,0), and the slope of the arms of the "V" being less steep than the slope of the arms for the absolute value function.
C. f(x) = 4 |x|
This function is a scaled version of the absolute value function as well, but it has a different scale factor. It takes the absolute value of x, and then multiplies the result by 4. This means that for any value of x, the output of the function is 4 times the absolute value of x. The graph of this function is a "V" shape that opens upward, with the vertex at the origin (0,0), and the slope of the arms of the "V" being steeper than the slope of the arms for the absolute value function.
In summary, the graphs of these three functions are all "V" shapes, but they differ in terms of their orientation, their vertex location, and the steepness of the arms of the "V".
determine the value of k for which the system
For the system of equations to have a unique solution the value of k must not be 6
Now, According to the question:
The given equations are,
kx + 2y = 5
3x + y = 1
The above equations can be written as,
kx + 2y – 5 = 0
3x + y – 1 = 0
We need to find the value of k.
So, we know that if the two equations are \(a_1x+b_1y+c_1=0\), \(a_2x+b_2y+c_2=0\) Then we will compare the coefficients such that
\(\frac{a_1}{a_2},\frac{b_1}{b_2} and \frac{c_1}{c_2}\).
If \(\frac{a_1}{a_2}\neq \frac{b_1}{b_2}\) then the equations have unique solution, if \(\frac{a_1}{a_2}=\frac{b_1}{b_2} = \frac{c_1}{c_2}\)
then the equations have infinitely many solutions and if \(\frac{a_1}{a_2}=\frac{b_1}{b_2} \neq \frac{c_1}{c_2}\)
then the equations have no solutions.
Here we can clearly see that,
\(a_1=k,b_1=2,c_1=-5\\\\\\a_2=3,b_2=2,c_2=-1\)
So, \(\frac{a_1}{a_2},\frac{b_1}{b_2} , \frac{c_1}{c_2}\)
\(\frac{a_1}{a_2}=\frac{k}{3}, \frac{b_1}{b_2}=\frac{2}{1} , \frac{c_1}{c_2}=\frac{5}{1}\)
We know that if the system of equation has unique solution then \(\frac{a_1}{a_2}\neq \frac{b_1}{b_2}\)
So, we solve on putting their values and we get,
\(\frac{k}{3}\neq \frac{2}{1}\)
\(k\neq 6\)
Hence, for the system of equations to have a unique solution the value of k must not be 6.
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The given question is incomplete, complete question is:
Find the value of k for which the following system of equation has the unique solution:-
kx + 2y = 5
3x + y = 1.
I NEED HELP PLEASE, THANKS! :) Use the graph to determine the domain and range of the relation, and state whether the relation is a function.
Answer:
Domain: All numbers greater than or equal to 0. By definition, the domain of a graph, is the possible x values.
Range: All real numbers. By definition, the range is all possible x values.
Not a function. A function has y value for every x value.
A pair of complementary angles
Answer:
always equal 90 degrees
Step-by-step explanation:
Hey there!
“Complementary Angles” is/are basically TWO (or MORE) angles that has the SUM is 90°
Whereas, “Supplementary Angles” is/are basically TWO (or MORE) angles that has the SUM of 180°
Example of a Complementary Angle:
30° + 40° + 20° = 90°
30° + 40° = 70°
70° + 20° = 90°
90° = 90°
This makes this a COMPLEMENTARY angle because it equals 90°
Example of a supplementary angle
90° + 90° = 180°
This makes this a SUPPLEMENTARY angle because it equals 180°
Good luck on your assignment and enjoy your day!
~Amphitrite1040
HELP TIMED BRAINLY POINTS
Answer:
dude you need to show the whole answer
Step-by-step explanation:
sorry I couldn't help
I WILL OPEN MY ALT AND COMENT AND GIVE YOU A BRINLIST OPEN IF YOU SHOWED YOUR WORK!!! OPEN THE IMAGE
Answer:
b = -3
Step-by-step explanation:
1. Rearrange Terms
-3(3 + 6b) = 36 - 3b
-3(6b + 3) = 36 - 3b
2. Distribute
-3(6b + 3) = 36 - 3b
-18b - 9 = 36 - 3b
3. Rearrange Terms
-18b - 9 = 36 - 3b
-18b - 9 = -3b + 36
4. Add 9 to both sides
-18b - 9 = -3b + 36
-18b - 9 + 9 = -3b + 36 + 9
5. Simplify
-18b - 9 + 9 = -3b + 36 + 9
-18b = -3b + 45
6. Add 3b to both sides
-18b = -3b + 45
-18b +3b = -3b + 45 + 3b
7. Simplify
-15b = 45
8. Divide both sides by the same factor
-15b = 45
\(\frac{-15b}{-15}\) = \(\frac{45}{-15}\)
9. Simplify
b = -3
May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I only need 10 more brainliest to become a genius! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!
Answer:
WWWWWW
Step-by-step explanation:
What are the steps to solving a linear equation?
A linear equation can be solved in four steps. First, simplify; next, use the properties of addition and subtraction; then, use the properties of multiplication and division; and last, check your work.
Any equation whose variables' highest powers are all equal to one is said to be a linear equation. This results in a graph with a straight line and is typically written as Ax+By=C. Here, x and y are the variables; A and B are their respective coefficients; and C is a constant.
The steps to solve a linear equation are given by
The given equations are first simplified as necessary on each side.Variable terms are shifted to one side of the equation and other terms to the other side using addition or subtraction properties.Variable terms are shifted to one side of the equation and other terms to the other side using multiplication or division properties.Finally, simplify and swap the equation's sides to verify the solution.To know more about linear equations:
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provide the bode plot (sketch the gain |h(jω)| and the phase shift ∠h(jω)) of a system with the following transfer function: h(jω) = (10 jω)/ jω(5+ jω)2
The Bode plot of the system with the given transfer function can be sketched as follows: Gain |h(jω)|:presence of a pole at jω = 0. Phase shift ∠h(jω): decrease with a slope of -90
1. Gain |h(jω)|:
At low frequencies (ω → 0), the magnitude of the transfer function approaches 0. As the frequency increases, the gain increases logarithmically until reaching a peak. Then, it starts decreasing with a slope of -20 dB/decade due to the presence of a pole at jω = 0. At high frequencies (ω → ∞), the gain approaches 0 again.
2. Phase shift ∠h(jω):
At low frequencies, the phase shift is 0 degrees. As the frequency increases, the phase shift gradually decreases until reaching a phase shift of -180 degrees at the peak frequency. Beyond the peak frequency, the phase shift continues to decrease with a slope of -90 degrees/decade due to the presence of a double pole at jω = -5.
It's important to note that the Bode plot assumes a logarithmic scale for both frequency and gain. The plot allows us to visualize the behavior of the system in terms of gain and phase shift as the frequency changes.
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