The value of the function (g o f) (x) = 12x + 49.
What is a function?A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain. The usual way to refer to a function is as f(x), where x is the input. A function is typically represented as y = f. (x).
Given that the value of f(x) = x + 4 and g(x) = 12x + 1.
The value of (g o f)(x) is:
g(x) = 12x + 1
Substitute the value of f(x) in x for the function of g(x):
(g o f) (x) = 12(x + 4) + 1
(g o f) (x) = 12x + 48 +1
(g o f) (x) = 12x + 49
Hence, the value of the function (g o f) (x) = 12x + 49.
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The value of the function (gof) (x) would be 12x + 49.
What is meant by composition function?The set of all x such that x is in the domain of g and g(x)) is in the domain of f is the domain of f composed with g, as you should be aware of. A composite function's domain is the set of inputs x in the domain of g for which g(x) is in the domain of the function.
A composite function is also known as f of g of x. It is formally represented as f(g(x)) or (f g)(x), which indicates that x = g(x) should be substituted in f. (x). It can alternatively be written as "f circle g of x." It is a process that merges two functions into one new function.
Let the given value be f(x) = x + 4 and g(x) = 12x + 1.
The value of (g o f)(x) is:
Substitute the value of f(x) in x for the function of g(x):
(g o f) (x) = 12(x + 4) + 1
simplifying the above equation, we get
(g o f) (x) = 12x + 48 +1
(g o f) (x) = 12x + 49
Therefore, the value of the function (gof) (x) be 12x + 49.
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a sports advertising website gives a poll on whether people would rather win tickets to see a baseball, football, hockey, soccer, or basketball game. the table below shows 20 responses. ticket preferences football football soccer baseball soccer football hockey baseball basketball helpcopy to clipboarddownload csv use excel to create a relative frequency distribution for the data. what is the relative frequency of the preference being soccer?
We have the table for the relative frequency below: Class Relative Frequency; Football 0.133 ; Basketball 0.267 ; Soccer 0.233 ; Baseball 0.133 ; Hockey 0.233
An array has a subscript zero for its first element. When using built-in array types, array bounds are not checked.
soccer and hockey is the correct answer because in both of these games there is a possibility of a match to be tied if both teams score equal no of goals in the given time. Both games have two halves of play, and the team scoring more goal in the given time wins but sometimes both teams score an equal number of goals then the match is tied
Class Frequency
Football 4
Basketball 8
Soccer 7
Baseball 4
Hockey 7
Total frequency = 4 + 8 + 7 + 4 + 7 = 30
Let's find the relative frequency.
To find the relative frequency, we have:
Relative frequency = frequency/total frequency
We have:
Football = [tex]\frac{4}{30}[/tex] = 0.133
Basketball = 8/30 = 0.267
Soccer = 7/30 = 0.233
Baseball = 4/30 = 0.133
Hockey = 7/30 = 0.233
Therefore,
We have the table for the relative frequency below: Class Relative Frequency; Football 0.133 ; Basketball 0.267 ; Soccer 0.233 ; Baseball 0.133 ; Hockey 0.233
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We have the table for the relative frequency below: Class Relative Frequency; Football 0.133 ; Basketball 0.267 ; Soccer 0.233 ; Baseball 0.133 ; Hockey 0.233
An array has a subscript zero for its first element. When using built-in array types, array bounds are not checked.
soccer and hockey is the correct answer because in both of these games there is a possibility of a match to be tied if both teams score equal no of goals in the given time. Both games have two halves of play, and the team scoring more goal in the given time wins but sometimes both teams score an equal number of goals then the match is tied
Class Frequency
Football 4
Basketball 8
Soccer 7
Baseball 4
Hockey 7
Total frequency = 4 + 8 + 7 + 4 + 7 = 30
Let's find the relative frequency.
To find the relative frequency, we have:
Relative frequency = frequency/total frequency
We have:
Football =4/30 = 0.133
Basketball = 8/30 = 0.267
Soccer = 7/30 = 0.233
Baseball = 4/30 = 0.133
Hockey = 7/30 = 0.233
Therefore,
We have the table for the relative frequency below: Class Relative Frequency; Football 0.133 ; Basketball 0.267 ; Soccer 0.233 ; Baseball 0.133 ; Hockey 0.233
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I NEED HELP ASAP!! (20 PTS)
An 8-pack of granola bars costs $7.04. What is the unit price?
Answer:
Step-by-step explanation: just / the $7.04 by 8 since there is 8 bars then boom
find the volume v of the solid obtained by rotating the region bounded by the given curves about the specified line. x = y2, x = 1 − y2; about x = 4
The volume of the solid obtained by rotating the region bounded by x = y² and x = 1 − y² about x = 4 is 16.
The volume of a solid obtained by rotating a region about a line is calculated by using the method of cylindrical shells.
In this problem, we are given the region bounded by the curves x = y² and x = 1 − y², and we are asked to find the volume of the solid obtained by rotating this region about the line x = 4
Next, we set up a coordinate system with the y-axis being the axis of rotation and the x-axis being the height of the cylindrical shell.
We will be rotating the region about the line x = 4, so the width of the cylindrical shell is 4 - y².
The height of the cylindrical shell is the change in x from one shell to the next, which is given by the bounds of the region. The circumference of the shell is
=> 2πy,
and the width of the shell is 4 - y².
We integrate the product of these three quantities over the bounds of the region to find the total volume of the solid.
This integration can be done using a definite integral, with the bounds being the y-coordinates of the two points where the curves intersect.
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you can determine if the inverse of a polynomial function is a function by using the ____ line test on the inverse.
You can determine if the inverse of a polynomial function is a function by using the Horizontal Line Test on the inverse.
The Horizontal Line Test is a graphical method that can be used to determine whether a given function is one-to-one, meaning that for each output value, there is at most one input value that maps to it.
If the inverse of a polynomial function is a function, it must pass the Horizontal Line Test, meaning that no horizontal line intersects the graph of the inverse more than once.
In other words, if the inverse of a polynomial function passes the Horizontal Line Test, it is guaranteed to have an inverse, which will be a function itself. If the Horizontal Line Test fails, then the inverse is not a function and does not have an inverse.
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based on the residual plot, do you think that this regression model is a good fit?
Based on the residual plot, it is possible to determine whether a regression model is a good fit or not.
A residual plot is a scatterplot of the residuals (the differences between the actual values and the predicted values) against the predicted values. A good regression model should have residuals that are randomly distributed around zero and have roughly equal variance across the range of predicted values.
If the residuals form a pattern, such as a U-shape or a curve, it indicates that the model is not a good fit for the data. Additionally, if there are outliers or extreme values in the residual plot, it suggests that the model may not be appropriate for those observations.
Correct Question :
Based on the residual plot, how do you think that regression model is a good fit?
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Find the aving plan balance after 3 year with an APR of 7% and monthly payment of $250. 00
The Balance i $_____
The Balance is $9,405.14 in the savings plan balance.
The savings plan balance after 3 years with an APR of 7% and monthly payment of $250.00.
A savings account balance is what?
The amount of money you have available in your checking or savings account is known as your account balance in the world of banking. The net amount remaining in your account after all deposits and credits have been balanced against any charges and debits is your account balance.
FV =250 x ((1 + 0.03/12)^(3*12) - 1 / (0.03/12))
FV =250 x ((1.0025)^36 - 1 / (0.0025))
FV =250 x 37.62056031
FV =$9,405.14
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Suppose that you have $3000 to invest. Which investment yields the greater return over a 10 year period: 7.23% compounded daily or 7.3% compounded quarterly?
Answer:
you would have less than $3000 or more that $3000 since the value could have gone up or down, $3000/10=300/7.23=41.493.Hope this helps :)
a report from the illinois department of wildlife indicates that when a car and deer collide, there are 40 deer fatalities per 100 collisions. in 300 collisions between a car and a deer, what is the expected number of fatalities and that standard deviation?
In 300 collisions between a car and a deer, there are 40 deer fatalities per 100 collisions is = 1.72.
Mean = 3 Standard Deviation = 1.72.
The standard deviation measures the spread of the data about the mean value. It is useful in comparing sets of data which may have the same mean but a different range.
Standard deviation is the measure of dispersion of a set of data from its mean. It measures the absolute variability of a distribution; the higher the dispersion or variability, the greater is the standard deviation and greater will be the magnitude of the deviation of the value from their mean.
In 300 collisions between a car and a deer, there are 40 deer fatalities per 100 collisions is = 1.72.
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In 300 collisions between a car and a deer, there are 40 deer fatalities per 100 collisions is = 1.72.
Mean = 3 Standard Deviation = 1.72.
The standard deviation measures the spread of the data about the mean value. It is useful in comparing sets of data that may have the same mean but a different range.
Standard deviation is the measure of the dispersion of a set of data from its mean. It measures the absolute variability of a distribution; the higher the dispersion or variability, the greater the standard deviation and the greater will be the magnitude of the deviation of the value from their mean.
In 300 collisions between a car and a deer, there are 40 deer fatalities per 100 collisions is = 1.72.
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which difficulty of range as a measure of variability is overcome by interquartile range?
The is used as a measure of to overcome the range is influenced too much by .
?
are then selected as 3 points such that
they create four groups in the data, each groups approximately possessing 25% of the data.
(inter quartile range) is defined as the between third and first quartile.
Since, range is used as a measure of to overcome the difficult of the range.
The interquartile range can be affected by , so the IQR (interquartile range) is used as a better of the range.
Hence, The interquartile range is used as a measure of variability to overcome the range is influenced too much by
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The interquartile range is used to overcome the difficulty of range as a measure of variability which is affected by outliers.
The range is a measure of variability which is determined by calculating the difference between the highest and lowest values in a dataset. However, this measure of variability can be affected by outliers - values that are unusually high or low. For example, if a dataset includes one value that is much higher than the rest, then the range will be much higher than it would be without the outlier. The interquartile range is used to overcome this difficulty by ignoring the outliers when calculating the range. It is calculated by dividing the data into quartiles and then subtracting the lower quartile from the upper quartile. This gives a more reliable measure of variability as it ignores the outliers and is not affected by them.
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A skate board originally costs 40$ and is on sale for 10% off. The discount may be figured as which off the following?
Ps can be more than one
A) 40➗ 0.10
B) 40 x 0.10
C) 40x 1/10
D) 40➗10
what is the slope indicated in the table below
Answer:
Step-by-step explanation:
Take any two pairs of coordinates to find the slope.
The forumla for slope is (y2-y1)/(x2-x1)
Wil will choose the points (2,10) and (4,20)
Therefore:
m = (20-10)/(4-2)
m = 5
Aliza needs to run at a rate faster than 8.2 feet per second in order to exceed her fastest time in a race. After running for 15 minutes, her coach determines that she is running at an average rate of 5.8 miles per hour. He converts the average rate to feet per second as shown below:
He concludes that she is not running fast enough to exceed her fastest time.
What errors did the coach make?
The coach made a mistake in converting the average rate from miles per hour to feet per second. To convert miles per hour to feet per second, the formula is (miles per hour) x (5280 feet/mile) / (60 minutes/hour) = (feet per second).
However, the coach used a different conversion factor, which resulted in an incorrect value. This incorrect value led the coach to conclude that Aliza was not running fast enough, when in reality, the actual rate could be higher than 8.2 feet per second.
Therefore, the coach made an error in the conversion factor used and in the conclusion based on the incorrect converted value.
8. Three solutions contain a certain acid. Solution A contains 15% acid.
Solution B contains 5% acid, and Solution C contains 40% acid. A chemist
combined all three solutions to create a 60-liter mixture containing 29%
acid. If twice as much of Solution C as Solution A was used, how many
liters of each solution was used for the mixture?
The 7.5 liters of Solution A, 52.5 liters of Solution B, and 15 liters of Solution C were used to create the 60-liter mixture containing 29% acid.
Three solutions contain a certain acid.
Solution A contains 15% acid.Solution B contains 5% acid.Solution C contains 40% acid.A chemist combined all three solutions to create a 60-liter mixture containing 29% acid.
A mixture is a material composed of two or more simpler substances in chemistry. Such materials can be compounds or chemical elements.Let's call the amount of Solution A used in liters as x. Then, the amount of Solution B used would be (60 - x) liters and the amount of Solution C used would be 2x liters.
The total amount of acid in the mixture is the sum of the acid in each solution, so we can write an equation to represent the final concentration of acid in the mixture:(0.15 * x) + (0.05 * (60 - x)) + (0.40 * 2x) = 0.29 * 60
Expanding and simplifying the equation, we get:
⇒0.30x + 3 - 0.05x + 2.4x = 17.4
Solving for x, we find that x = 7.5 liters of Solution A was used.
So, 7.5 liters of Solution A, 52.5 liters of Solution B, and 15 liters of Solution C were used to create the 60-liter mixture containing 29% acid.
Therefore, the 7.5 liters of Solution A, 52.5 liters of Solution B, and 15 liters of Solution C.
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Calculate the bearing of P from Q
thats how u calculate this Use the angle fact that angles in a full turn add to 360°. To work the bearing, subtract 130° from 360°. 360° – 130° = 230° and so, the bearing of A from B is 230°.
My puppy i running away at a peed of 200 feet per minute and it 200 feet away and i run 270 feet per minute. Can i catch my puppy?
My puppy is racing away from me at a rate of 200 feet per minute, while I am moving at a rate of 270 feet per minute. Yes, you will catch the puppy after 4 minutes
What is the relation between time and distance?
The relation between time and distance is defined as the ratio of speed and distance. We stand in the frame of reference where he is still, in this frame the speed of the puppy will be equal to the speed of the puppy in our previous frame plus the speed of him in the previous frame (because they are running in opposite directions). Speed = 270 - 220 = 50 feet per minute. My puppy is running away at a speed of 220 feet per minute. The distance between him and puppy = 200 feet Speed of him = 270 feet per minute.
For example if a car travels for 2 hours and covers 120 miles we can work out speed as 120 ÷ 2 = 60 miles per hour. The units of the the distance and time tell you the units for the speed.
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the expected cell count in a table should be larger than _______ when using chiχ2.
a) 15
b) 10
c) 2
d) 3
When using chi2, the expected cell count in a table should be larger than 10.
Chi2 analysis is a statistical function used to compare the observed frequency of an event to the expected frequency.
The ideal minimum value for the expected cell count is 10, although a value of 15 is even better. This is because the chi2 function assumes that the data is normally distributed and has a minimum number of expected occurrences.
The lower the expected cell count, the less reliable the results of the chi2 analysis will be. In fact, if the expected cell count is below 5, the results should not be considered trustworthy at all.
The degree of freedom determines the level of significance in the results, which is an important factor in interpreting the results of a chi2 analysis. In general, the larger the expected cell count, the more reliable the results will be.
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Madeline Rollins is trying to decide whether she can afford a loan she needs in order to go to chiropractic school. Right now, Madeline is living at home and works in a shoe store, earning a gross income of $1,260 per month. Her employer deducts a total of $320 for taxes from her monthly pay. Madeline also pays $190 on several credit card debts each month. The loan she needs for chiropractic school will cost an additional $290 per month.
Calculate her debt payments-to-income ratio with and without the college loan. (Remember the 20 percent rule. ) (Enter your answers as a percent rounded to 2 decimal places. )
With college loan: __%
Without college loan: __%
Madeline should not ask for the loan
1. With college loan:
DTI = 43.9%
2. Without the college loan
DTI = 29.3%
Calculate the DTI for both scenaries, with and without the college loan.
DTI = (monthly debt payments) / (gross monthly income) × 100
With college loan W/O college loan
Monthly debt payments($)
Taxes 145 145
Credit card 90 95
College loan 120 0
Sub-total 360 240
Montly gross income ($) 820 820
1. With college loan:
DTI = (360/820)×100 = 43.9%
2. Without the college loan
DTI = (240/820)×100 = 29.3%
There are several rules to assess if a DTI is good or not.
Some of those rules include that:
A DTI without a mortgage should be below 28%, thus 29.3% is slightly over the limit.
A DTI with a mortgage should be below 43%, thus 43.9% is slightly over the lilmit.
The 20% rule states that the debt without a mortgage should be no more than 20 percent of the annual income after taxes.
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Find The Area Of The Region Under The Given Curve From 1 To 2. Y = 3 X3 + 4x
The area under the curve y = 3x³ + 4x from x = 1 to x = 2 is 4 square units.
What do you mean by curve?A curve is a continuous, smooth, and often repeating shape in the plane or in space. It is a geometric object that can be described mathematically by an equation or a set of points.
In mathematics, curves are used to model real-world phenomena and to study geometric and mathematical properties. For example, curves can be used to describe the shape of objects, the path of moving objects, or the graph of a mathematical function.
There are many types of curves, including lines, circles, ellipses, parabolas, hyperbolas, and spirals, among others. Each type of curve has unique properties and characteristics, and they are studied and used in different ways in different fields of mathematics and science.
In physics, curves are used to describe the motion of objects and the behavior of physical systems. For example, the trajectory of a projectile can be modeled by a parabolic curve, while the path of a planet around the sun can be modeled by an elliptical curve.
To find the area under the curve y = 3x^3 + 4x from x = 1 to x = 2, we can use the definite integral:
∫[1,2] (3x^3 + 4x) dx
To evaluate this integral, we can use the power rule for integration: ∫x^n dx = (x^(n+1))/(n+1) + C, where C is the constant of integration.
Using this rule, we get:
∫ (3x³ + 4x) dx = ∫ 3x³ dx + ∫ 4x dx = x^4/4 + 2x² + C
Evaluating this definite integral from x = 1 to x = 2, we get:
[tex][x^{\frac{4}{4}+2x^{2} } ]2-[x^{\frac{4}{4}+2x^{2} } ]1=(2^{\frac{4}{4} }+22^{2} ) -(1^{\frac{4}{4} } +21^{2} )=\frac{21}{4}-\frac{16}{4}=4[/tex]
So the area under the curve y = 3x^3 + 4x from x = 1 to x = 2 is 4 square units.
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Tameeka tells Marcus, When you add 16 to my mystery number then subtract 20, you get the same result as when you add my mystery number to itself, then add 20 and subtract 16. " What is Tameeka’s mystery number?
The mystery number 'm' that satisfies the stated conditions is - 8.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Let, Tameeka's mystery number be 'm'.
So, When you add 16 to mystery number then subtract 20,
m + 16 - 20,
you get the same result as when you add mystery number to itself, then add 20 and subtract 16,
m + m + 20 - 16.
Therefore,
m + 16 - 20 = m + m + 20 - 16
m - 4 = 2m + 4.
- m = 8.
m = - 8.
So the Tameeka’s mystery number (m) is -8.
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is the weight of a hamburger a discrete random variable, continuous random variable, or not a random variable?
The weight of a hamburger can be considered a continuous random variable.
A random variable is a mathematical representation of a random phenomenon.
In probability and statistics, the weight of a hamburger can be used to illustrate the concepts of discrete and continuous random variables.
A discrete random variable is one that can only take on specific, distinct values.
For example, the number of hamburgers sold at a fast food restaurant in one day could be considered a discrete random variable, as the number of hamburgers sold can only be a whole number.
On the other hand, a continuous random variable is one that can take on an infinite number of values within a given range.
The weight of a hamburger could be considered a continuous random variable, as the weight of a hamburger can take on any value within a certain range, such as between 0.1 and 0.5 kilograms.
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an object moves from location d to location f on a trajectory (dotted line) in the direction indicated; arrows representing the velocities at locations d, e, and f are also indicated.
The object is moving in a straight line from location d to location f. The velocity of the object at each location is indicated by the arrows and is increasing from location d to location e, then decreasing from location e to location f.
The object is moving in a straight line from location d to location f, indicated by the dotted line. The velocity of the object at each location is indicated by the arrows. At location d, the arrow is pointing in the direction of the movement and has a smaller magnitude than the arrows at locations e and f. This indicates that the velocity of the object is increasing from location d to location e. At location e, the arrow has the largest magnitude and is pointing in the same direction as the dotted line. This indicates that the velocity of the object is at a peak at location e. From location e to location f, the arrow is pointing in the opposite direction of the dotted line and has a magnitude that is smaller than the arrow at location e. This indicates that the velocity of the object is decreasing from location e to location f.
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Evaluate the integral.I = ∫ √3 9 arctan( 1 x) dx.
the integral value of = ∫ √3 9 arctan( 1 x) dx is: 9 {√3x/6 - π/4 + 1/2 ln 2}
What is integration?Integration in mathematics is a technique for integrating or adding up the parts to get the total. By breaking down the functions into their component pieces, differentiation is carried out in reverse. The summation under a broad scale is found using this approach. The process of combining smaller parts or information from various subsystems into a single operational unit is known as integration. By breaking down the functions into their component pieces, differentiation is carried out in reverse. The summation under a broad scale is found using this approach.
Given that,
= [tex]\int\limits^{\sqrt{3}}_1{9arc\tan(1/x)} \, dx[/tex]
= [tex]9\int\limits^{\sqrt{3}}_1{tan^{-1}(1/x)} \, dx[/tex]
= [tex]9\int\limits^{\sqrt{3}}_1{cot^{-1}(x)} \, dx[/tex]
[As here we use tan⁻¹(1/x) = cot⁻¹x]
We integrate cot⁻¹x by parts by taking cot⁻¹x as I function.
= [tex]9{[cot^{-1}(x)\int\limits\, dx]{^\sqrt{3}} _1 - \int\limits^\sqrt{3}} _1 {d/dx (cot^{-1}x \int\limits\, dx }[/tex]
= 9 {√3x/6 - π/4 + 1/2 ln 2}
Thus, the integral value of = ∫ √3 9 arctan( 1 x) dx is: 9 {√3x/6 - π/4 + 1/2 ln 2}.
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Consider the statement: There are n sixth-grade band
members and t total sixth graders.
Write a part-to-whole ratio using colon notation.
The part to whole ratio for n sixth-grade band to t total sixth graders is
n/t.
What is ratio?
Ratio and Proportion are explained majorly based on fractions. When a fraction is represented in the form of a:b, then it is a ratio whereas a proportion states that two ratios are equal. Here, a and b are any two integers. The ratio and proportion are the two important concepts, and it is the foundation to understand the various concepts in mathematics as well as in science.
In our daily life, we use the concept of ratio and proportion such as in business while dealing with money or while cooking any dish, etc.
Now,
Given There are n sixth-grade band members and t total sixth graders
Therefore, part-to-whole ratio = n/t.
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If the shear force diagram of a simply supported beam is parabolic, then the load on the beam is A
uniformly distributed load
B
concentrated load at mid span
C
external moment acting at mid span
D
linearly varying distributed load
The shear force diagram of a simply supported beam is parabolic when it is a linearly varying distributed load.
What is a shear force diagram?
A shear force diagram depicts the shear force's variation throughout the length of the beam.
Examples of internal forces that are produced in a structure when loads are applied include shear force and bending moment. Failures often result from loading in one of two ways:
A beam can be damaged either a) by being sheared across its cross section or b) by being bent excessively.
It is possible to define shear force as the algebraic sum of the loads to the left or right of a point, provided that doing so restores vertical equilibrium.
For the shear force diagram of a simply supported beam to be parabolic, then the load on the beam should be linearly varying distributed load.
The slope or load will vary linearly if the shear force diagram is parabolic.
Therefore the shear force diagram of a simply supported beam is parabolic when it is linearly varying distributed load.
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How To Convert 36.4 °C to °F
The Fahrenheit value is 97.52
How To Convert 36.4 °C to °F?
Normal body temperature ranges from 97.5°F to 98.9°F (36.4°C to 37.2°C). It tends to be lower in the morning and higher in the evening. Most healthcare providers consider a fever to be 100.4°F (38°C) or higher.To convert temperatures in degrees Celsius to Fahrenheit, multiply by 1.8 (or 9/5) and add 32.You probably have a fever if your temperature is 38°C or higher. A normal temperature is around 36-37°C, although it depends on your age, what you've been doing, the time of day and how you take the measurement. A high temperature can be caused by: viral respiratory infections, like colds and flu and COVID-19.To learn more about Fahrenheit refers to:
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Ms. Rumble's history class conducted interviews with their grandparents for a class project. The grandparents less than 89 years old knew that Amelia Earhart was
to fly solo across the Atlantic Ocean.
Determine the graph to represent this scenario.
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94
24
94
2
95
95
95
95
The graph created to represent this scenario is a histogram.
What is graph?Graph is a data structure composed of nodes (vertices) connected by edges, which represent a relationship between the two nodes. Graphs are used to represent networks of communication, data organization, and even abstract concepts like thoughts or ideas. The nodes in a graph are often represented by circles and the edges by lines, but other shapes and symbols are also used. Graphs are a powerful tool for organizing and understanding data, and can be used to solve complex problems.
The x-axis represents the ages of the grandparents and the y-axis represents the number of people who fall into those age categories. The data is plotted in a bar graph format with the bars extending upward to represent the number of individuals in each age group. The highest bar is for those aged 83-84, with four people in this age range. The next highest bar is for those aged 85-86, with four people in this age range as well. The bars continue to descend in height as the age categories increase, with the lowest bar representing those aged 99-100, with four people in this age range as well.
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determine the initial rate of c production (δ[c]/δt) if [a] = 0.200 m and [b] = 0.500 m.
The initial rate of c production is -0.100k, where k is the rate constant of the reaction.
The rate of production of c (δ[c]/δt) can be determined using the equation of the rate of reaction [tex]\ce{A + B - > C}[/tex] . The rate of reaction is given by
[tex]\begin{equation} \frac{\delta[C]}{\delta t} = -k[A][B]\end{equation}[/tex]
where k is the rate constant of the reaction. If the initial concentrations of a and b are given, the rate of c production can be calculated.
In this problem, the initial concentration of a and b are given as [a] = 0.200 M and [b] = 0.500 M. Therefore, using the equation given above, the initial rate of c production is
[tex]\begin{equation} \frac{\delta[C]}{\delta t} = -k[A][B] = -k(0.200)(0.500) = -0.100k\end{equation}[/tex]
Therefore, the initial rate of c production is -0.100k, where k is the rate constant of the reaction.
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Malachi asks students in his class, “How long does it take you to get to school?” The histogram shows the data. How many students answered Malachi's question?
The number of students that answered Malachi's question is 20 students.
What is the histogram?A histogram is a graphical representation of data that shows the frequency distribution of a set of continuous or discrete data. It is a bar graph that displays the number of data points within specified ranges or bins, allowing for the observation of patterns, trends, and anomalies in the data.
The height of each bar in the histogram represents the frequency of data within the corresponding bin or range, providing a visual representation of the distribution of the data.
In this case, we have that the number of students that answered the question are;
1 + 4 + 10 + 4 + 1 = 20 students
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Answer:
20
Step-by-step explanation:
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You decide to invest in government bonds to save money for your eventual wedding. You have an
initial investment of $7,000 and when you choose to invest for 14 years you get a 10% rate
of return. What will be the value of your investment at maturity?
y = a (1 + r)t
Round off to the nearest whole number
(don't forget to change your rate to a decimal percentage)
Rounding off to the nearest whole number, the value of the investment at maturity would be $15,108.
What is the whole number?
A whole number is a positive integer that has no fractional or decimal component. Whole numbers include 0, 1, 2, 3, 4, and so on.
The formula to calculate the future value of an investment is given by: y = a (1 + r)t, where y is the future value, a is the initial investment, r is the rate of return as a decimal, and t is the time in years.
In this case, the initial investment is $7,000, the rate of return is 10% (or 0.10 as a decimal), and the time in years is 14. So, the calculation would be:
y = $7,000 * (1 + 0.10)^14
y = $7,000 * 1.10^14
y = $7,000 * 2.151373
y = $15,108.16
Rounding off to the nearest whole number, the value of the investment at maturity would be $15,108.
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write an equation that represents the kims and her sisters age combined, where k represents kims age, and x represents her sisters age
An equation that represents the Kim's and her sister's age combined is,
x + k = n.
What is an equation?Two algebraic expressions having same value and symbol '=' in between are called as an equation.
Let k represents Kim's age, and x represents her sister's age.
Let the combined age is n.
Then,
an equation that represents the Kim's and her sister's age combined is,
x + k = n.
Therefore, the equation is x + k = n.
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