50 Points! Multiple choice algebra question. Which function represents exponential growth? Photo attached. Thank you!
Answers
The exponential growth model is represented by the function y = 10 · 3ˣ. (Correct choice: D)
What function is an exponential growth function?
In this problem we must determine what function does represent an exponential growth model. With this purpose, we must define and understand the following functions:
Exponential growth model
y = a · rˣ, for r > 1.
Exponential decay model
y = a · rˣ, for 0 < r < 1.
Polynomic model
y = ∑ cₙ · xⁿ
The function y = 10 · 3ˣ represents an exponential growth model.
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Related Questions
Select the statement that is true a.16.7-8=2.9×3 b. 4×3.2=17.8-5 c.10.5÷5+1=8.8÷4 d.
Answers
Answer:
b
4 x 3.2 = 12.8
17.8 - 5 =12.8
so,
4 x 3.2 = 17.8-5
12.8=12.8
System of equations
2x + 3y = 4
3x + 5y = 7
10x + 15y = 20
-9x - 15y = -21
Find the solution of this system of linear
equations. Separate the x- and y- values with a
comma. Enclose them in a pair of parantheses.
Enter the correct answer.
DONE
Answers
Answer:-₍1,3₎
Step-by-step explanation:
To solve this system of equations, we can use the method of elimination to eliminate one of the variables. We can multiply the first equation by 5 and the second equation by -3, then add the two equations to eliminate $y$:
$(5)(2x + 3y = 4) \Rightarrow 10x + 15y = 20$
$(-3)(3x + 5y = 7) \Rightarrow -9x - 15y = -21$
Adding the equations, we get:
$10x + 15y - 9x - 15y = 20 - 21$
Simplifying, we get:
$x = -1$
Now we can substitute $x=-1$ into one of the original equations to solve for $y$. Using the first equation, we have:
$2(-1) + 3y = 4$
Solving for $y$, we get:
$y = 2$
Therefore, the solution to the system of equations is $x=-1$ and $y=2$. We can check this solution by substituting $x=-1$ and $y=2$ into the other two equations:
$3(-1) + 5(2) = 7$
$10(-1) + 15(2) = 20$
Both equations are true, so our solution is correct.
Sally is putting her dominions back into their storage tin. She wants to know how many dominoes can fit in the tin. While placing the dominoes in the tin, she counts how many dominos can be stacked on top of each other and she finds that to be 3 dominoes. She counts how many can be set side-by-side and she finds that to be 9 dominoes. Finally she counts how many can be placed end-to-end in the tin and she finds that to be 4 dominoes. Sally knows she can use addition to figure out how many total dominoes fit in the tin. She also knows that 27 dominoes fit in one row in the tin when she stacks up as many as she can in that row. Write an expression using only addition to show how Sally can determine how many dominoes can fit in the tin based on the number of dominoes in each row stacked
Answers
The expression that Sally can use to determine how many dominoes can fit in the tin based on the number of dominoes in each row stacked is (Number of rows stacked ÷ 0.75) x (9 x 4)
Sally can use the fact that she can fit 3 dominoes stacked on top of each other, 9 dominoes side-by-side, and 4 dominoes end-to-end in the tin to figure out how many dominoes can fit in the tin. Since she knows that 27 dominoes fit in one row stacked, she can use addition to determine the total number of dominoes that can fit in the tin.
First, she can find the number of dominoes that can fit in one layer of the tin by multiplying the number of dominoes that fit side-by-side and the number that fit end-to-end: 9 x 4 = 36.
Then, she can divide the total number of dominoes that fit in one row (27) by the number of dominoes that can fit in one layer (36): 27 ÷ 36 = 0.75.
This means that each layer of the tin can hold 0.75 rows of dominoes.
To find the total number of dominoes that can fit in the tin, Sally can multiply the number of layers by the number of dominoes in each layer: Number of layers x Number of dominoes in each layer = Total number of dominoes that can fit in the tin.
Therefore, the expression that Sally can use to determine how many dominoes can fit in the tin based on the number of dominoes in each row stacked is:
Total number of dominoes = Number of layers x Number of dominoes in each layer
Total number of dominoes = (Number of rows stacked ÷ 0.75) x (9 x 4)
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An annual depreciation rate is the percent that the value of an item decreases each year. A company purchases technology for $5,000. The company uses the function $r=1-\sqrt[3]{\frac{S}{5000}}$
to relate the annual depreciation rate $r$ (in decimal form) and the value $S$ (in dollars) of the technology after 3 years. Find $S$ when $r=0.15$ .
Answers
First, we can solve the equation $r=1-\sqrt[3]{\frac{S}{5000}}$ for $S$, to get:
$\sqrt[3]{\frac{S}{5000}} = 1-r$
Cubing both sides, we get:
$\frac{S}{5000} = (1-r)^3$
Multiplying both sides by 5000, we get:
$S = 5000(1-r)^3$
Now, we can substitute $r=0.15$ into this equation, to get:
$S = 5000(1-0.15)^3$
Simplifying:
$S = 5000(0.85)^3$
$S = 5000(0.614125)$
$S = 3070.63$
Therefore, the value of the technology after 3 years is $S = \$3070.63$.
Select the correct answer from each drop-down menu. A system of linear equations is given by the tables. x y -1 1 0 3 1 5 2 7 x y -2 -7 0 -1 2 5 4 11 The first equation of this system is y = x + 3. The second equation of this system is y = 3x − . The solution of the system is ( , ).
Answers
The first equation of this system is y = 2x + 3, the second equation is y = 3x - 1, and the solution of the system is (4, 11).
a) The first equation of this system can be found by using the points given in the first table. We can use the two points (-1, 1) and (0, 3) to find the equation of the line passing through them using the slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept.
The slope of the line passing through (-1, 1) and (0, 3) is (3-1)/(0-(-1)) = 2/1 = 2.
Substituting one of the points in the slope-intercept form, we get 1 = 2(-1) + b, which gives us b = 3. Therefore, the equation of the line is y = 2x + 3.
b) Similarly, we can use the points given in the second table to find the equation of the second line. Using the points (0, -1) and (2, 5), we get the slope as
(5-(-1))/(2-0)
= 6/2
= 3.
Substituting one of the points in the slope-intercept form, we get
-1 = 3(0) + b, which gives us b = -1.
Therefore, the equation of the second line is y = 3x - 1.
c) To find the solution of the system, we need to find the point of intersection of the two lines. We can do this by solving the two equations simultaneously.
Substituting the second equation in the first, we get:
2x + 3 = 3x - 1
Simplifying, we get x = 4.
Substituting x = 4 in either of the equations, we get y = 11. Therefore, the solution of the system is (4, 11).
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Write a word problem to match -2.75>x
Answers
A word problem that matches the inequality -2.75 > x is:
John has a balance of $25 in his bank account and wants to withdraw some money and he needs to withdraw at least x dollars, but not more than $2.75.
How to write a word problem to match -2.75>x?A word problem that matches the inequality -2.75 > x is:
John has a balance of $25 in his bank account and wants to withdraw some money. He needs to withdraw at least x dollars, but not more than $2.75.
What is the largest possible value of x that John can withdraw and still have a positive balance in his account?
In this scenario, the variable x represents the amount that John can withdraw from his account, and the inequality -2.75 > x means that x must be less than -2.75 (i.e., negative and greater in magnitude than 2.75)
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hi I need help on questions 10-17 on this paper. if you are a expert (know what to do) of vertical angles and angle relationships in a triangle then please help me.
Answers
Answer:
10) 73
11) 107
12) 107
13) x = 23
14) 135
15) 45
16) 123, 28 29
17) 180 - 72 - 28 = 80
Angle K is 80
Step-by-step explanation:
10:
Vertical angels are congruent. The same measurement.
11:
Supplements angles add to 180
180 - 73 = 107
12:
Same as 11
13:
135
Vertical angles are congruent
5x + 20 = 3x + 66 Subtract 3x from both sides
2x + 20 = 66 Subtract 20 from both sides
2x = 46 Divide both sides by 2
x = 23
14:
5x + 20 Substitute 23 for x
5(23) + 20
115 + 20
135
15:
This angle is supplemental to ABC
180 - 135 = 45
16:
The sum of the interior angles of a triangle is 180
123 + x-2 + x -3 = 180 Combine like terms
118 +2x = 180 Subtract 118 from both sides
2x = 62 Divide both sides by 2
x = 31
x- 2
31 - 2 = 29
x - 3
31 - 3 = 28
Three angles 123, 29, 28
17:
The sum of the interior angles is 180
180 - 72 - 28 = 80
Helping in the name of Jesus.
I need help finding the answer to this question
Answers
Answer: I believe it would be 2/5.
Step-by-step explanation:
Reduction means the fraction is reduced to it's simplest form.
7/7=1
2/5=2/5
15/13=1 2/13
See as the '2/5' does not change in reduction.
So, '2/5' would be your answer.
Hope this helps! :)
Do you use integration by parts to solve this problem? If so, how? I can't seem to figure out the right answer
Answers
The integral of [tex]\int\limits^e_1 {x^{1/2}lnx } \, dx[/tex] is (2/3)[tex]e^{3/2}[/tex] - (4/9).
To find the integral of [tex]\int\limits^e_1 {x^{1/2}lnx } \, dx[/tex] , we can use integration by parts. Let u = ln x and dv = [tex]x^{1/2}[/tex] dx. Then du/dx = 1/x and v = (2/3) [tex]x^{3/2}[/tex] .
Using the formula for integration by parts, we have:
∫[tex]x^{1/2}[/tex]lnx dx = uv - ∫v du/dx dx
= ln x * (2/3) [tex]x^{3/2}[/tex] - ∫(2/3) [tex]x^{3/2}[/tex] * (1/x) dx
= ln x * (2/3) [tex]x^{3/2}[/tex] - (2/3) ∫ [tex]x^{1/2}[/tex] dx
= ln x * (2/3) [tex]x^{3/2}[/tex] - (4/9) [tex]x^{3/2}[/tex] + C
where C is the constant of integration.
To evaluate the definite integral from 1 to e, we substitute e for x in the expression above and subtract the result when x = 1:
[tex]\int\limits^e_1 {x^{1/2}lnx } \, dx[/tex] = [(2/3) [tex]e^{3/2}[/tex] ln e - (4/9) [tex]e^{3/2}[/tex] ] - [(2/3)[tex]1^{3/2}[/tex]ln 1 - (4/9)[tex]1^{3/2}[/tex]]
= (2/3) [tex]e^{3/2}[/tex] - (4/9)
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A salesman earns $60,000 in commission in his first year and then has his commission reduced by 20% the second year. What percent increase in commission over the second year will give him $57,600 in the third year?
Answers
first off, let's find out how much he's making on the 2nd year, so since he's getting slashed by 20%, that means his new commission is 100% - 20% = 80%, so 80% of 60000, how much is that?
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{80\% of 60000}}{\left( \cfrac{80}{100} \right)60000}\implies 48000[/tex]
now, if we want to go up to 57600, that means we need to increase his commission by 57600 - 48000 = 9600.
So, if we take 48000(origin amount) to be the 100%, what's 9600 off of it in percentage?
[tex]\begin{array}{ccll} Amount&\%\\ \cline{1-2} 48000 & 100\\ 9600& x \end{array} \implies \cfrac{48000}{9600}~~=~~\cfrac{100}{x} \\\\\\ 5 ~~=~~ \cfrac{ 100 }{ x }\implies 5x=100\implies x=\cfrac{100}{5}\implies \boxed{x=20}[/tex]
A pair of standard dice are rolled. Find the
probability of rolling a sum of 3 with these dice.
Answers
To find the probability of rolling a sum of 3, we need to count the number of ways we can roll a sum of 3 and divide by the total number of possible outcomes.
The only ways to get a sum of 3 are by rolling a 1 on the first die and a 2 on the second die, or vice versa. There is only one way to roll each of these outcomes. Therefore, there are 2 ways to roll a sum of 3.
So the probability of rolling a sum of 3 is:
Probability of rolling a sum of 3 = Number of ways to roll a sum of 3 / Total number of possible outcomes
Probability of rolling a sum of 3 = 2 / 36
Probability of rolling a sum of 3 = 1 / 18
Therefore, the probability of rolling a sum of 3 with a pair of standard dice is 1/18 or approximately 0.056.
50 Points! Algebra question. Photo attached. Please show as much work as possible. Thank you!
Answers
A. The 51st note on a piano keyboard corresponds to a pitch of 440 cycles per second.
B. The pitch that is 73 notes higher on the keyboard has a frequency of about 1760 cycles per second.
How to determine frequency?A. Use the formula to find how many notes up the piano keyboard the pitch of 440 cycles per second corresponds to:
440 = 27.5 × 2⁽ⁿ⁻¹⁾/12
Dividing both sides by 27.5 and taking the logarithm with base 2 gives:
log₂(440/27.5) = (n-1)/12
n-1 = 12 × log₂(440/27.5)
n-1 = 12 × 4.1702 ≈ 50.042
n ≈ 51.042
Therefore, the pitch of 440 cycles per second is the 51st note up the piano keyboard.
B. Use the same formula to find the frequency of the pitch that is 73 notes up the keyboard:
73 = 1 + 12 log₂(f/27.5)
72 = 12 log₂(f/27.5)
6 = log₂(f/27.5)
f/27.5 = 2⁶
f = 27.5 × 2⁶
f ≈ 1760
Therefore, the frequency of the pitch that is 73 notes up the keyboard is approximately 1760 cycles per second.
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write 15 dollars and 95 cents as a mixed number (and then reduce)
Answers
Answer:
15 19/20
Step-by-step explanation:
95 cents means 95/100 then reduce that and you get 19/20 and then on the end you still have the $15
Help me out please y’all
Answers
The piecewise function is
f(x) = { x -3 , x≤3
8, -3 < x ≤ 5
x+10, x>6
For values less than or equal to -3, we have a line with a positive slope. We have two lines, y = x - 2, and y = x - 3.
1. For y = x - 2
-5 = -3 - 2= -5
2. For y = x - 3
-5 = -3-3 = -6
The fact that the domain is specified for x less than -3 further demonstrates that the first choice is not an option.
Additionally, we know that the function's value is equal to 8 for the range from x greater than -3 to less than or equal to 5.
Additionally, the equation is given as y = -x + 10 and the line has a negative slope for values greater than 6.
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Someone help i really need help with this
Answers
Step-by-step explanation:
step A is incorrect.
-40/5 does not equal to -40/-5.
-40/-5 is equal to 40/5 as we can simplify the negative 1 out.
Answer:
The correct answer is step A
Please help me with this
Answers
Answer:
a) y = 5.2727x + 32.5276
b) y = 5.2727(6) + 32.5276
= 64.1638 inches
c) y = 5.2727(7.153) + 32.5276
= 70.2432 inches
A research study indicated a negative linear relationship between two variables: the number of hours per week spent exercising (exercise time) and the number of seconds it takes to run one lap around a track (running time). Computer output from the study is shown below.
A figure of a computer output is shown. At the top is a table with two rows. The first row reads variable, N, mean, S E mean, and standard deviation. The second row reads running time, 11, 74.81, 2.21, and 7.33. Below this is a second table with three columns labeled predictor, coefficient, and S E coefficient. The first row reads constant, 88.01, and 0.49. The second row reads exercise time, negative 2.20, and 0.07. At the bottom it reads S equals 0.76 and R squared equals 99 percent.
Assuming that all conditions for inference are met, which of the following is an appropriate test statistic for testing the null hypothesis that the slope of the population regression line equals 0 ?
Answers
Answer:
The appropriate test statistic for testing the null hypothesis that the slope of the population regression line equals 0 is the t-statistic.
The t-statistic for testing the slope coefficient is calculated as follows:
t = (b1 - 0) / SE(b1)
where b1 is the estimated slope coefficient, and SE(b1) is the standard error of the estimated slope coefficient.
From the computer output, we see that the estimated slope coefficient for exercise time is -2.20, and the standard error of the estimated slope coefficient is 0.07.
Therefore, the t-statistic is:
t = (-2.20 - 0) / 0.07 = -31.43
This t-statistic follows a t-distribution with n-2 degrees of freedom, where n is the sample size. The sample size is not given in the output, so we cannot determine the exact degrees of freedom.
Out of 400 people sampled, 160 preferred
Candidate A. Based on this, estimate what proportion of the voting population (p) prefers Candidate A.
Use a 90% confidence level, and give your answers as decimals, to three places. Use GeoGebra to calculate!
Answers
p-hat = 160/400 = 0.4
To construct a confidence interval for the true proportion p, we can use the following formula:
p-hat ± z*sqrt(p-hat*(1-p-hat)/n)
where z is the critical value for the desired confidence level, sqrt is the square root function, and n is the sample size.
At a 90% confidence level, the critical z-value is 1.645. Substituting the given values, we get:
0.4 ± 1.645*sqrt(0.4*(1-0.4)/400)
Simplifying this expression, we get:
0.4 ± 0.052
Therefore, the 90% confidence interval for the true proportion p is (0.348, 0.452).
This means that we can be 90% confident that the proportion of the voting population that prefers Candidate A is between 0.348 and 0.452.
Mr. and Mrs. Tran hope to send their son to college in twelve years. How much money should they invest now at an interest rate of 8.5% per year, compounded continuously, in order to be able to contribute $9000 to his education?
Answers
$3988.71 should be invested by them to be able to contribute $9000 to his education.
We can use the continuous compound interest formula:
[tex]A = Pe^{(rt)[/tex]
where A is the future value, P is the present value, r is the interest rate, and t is the time in years.
We know that A = $9000, r = 0.085 (8.5% expressed as a decimal), and t = 12.
Solving for P, we get:
[tex]P = A / e^{(rt)}\\\\P = 9000 / e^{(0.085*12)}\\\\P = \$ \ 3988.71[/tex]
Therefore, Mr. and Mrs. Tran should invest approximately $3988.71 now in order to have $9000 in twelve years, assuming continuous compound interest at a rate of 8.5% per year.
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N Heracio's Computer Time Shopping Research 10% Videos 15% Homework 20% Games 20% Social dia 25% Heracio used the computer a total of 40 hours last week. How many more hours did Heracio use the computer to do homework than shop online?
Answers
Heracio used the computer 2 more hours to do homework than to shop online.
To solve the problem, we need to first calculate the number of hours Heracio spent on each activity:
Videos: 10% of 40 hours = 4 hours
Homework: 20% of 40 hours = 8 hours
Games: 20% of 40 hours = 8 hours
Social media: 25% of 40 hours = 10 hours
Shopping: 15% of 40 hours = 6 hours
To find out how many more hours Heracio used the computer to do homework than shop online, we need to subtract the number of hours spent shopping from the number of hours spent on homework:
8 hours (homework) - 6 hours (shopping) = 2 hours
Therefore, Heracio used the computer 2 more hours to do homework than to shop online.
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scheduled payment of $1010 due five months ago and $1280 due today are to be repaid by a payment of $615 in four month and the balance in seven months. If money is worth 7.75% p.a , and the focal date is in seven months, what is the amount of the final payment?
Answers
The amount of the final payment is $1,004.99.
To solve the given problem, we will use the concept of present value. We need to find the present value of the two payments due in the past, and then find the future value of the remaining payments due in the future.
Let's first find the present value of the two past payments:
PV1 = $1010 / (1 + 0.0775/12)⁵ = $868.15
PV2 = $1280 / (1 + 0.0775/12)⁰ = $1280
Next, we can find the future value of the remaining payments due in the future
FV1 = $615 x (1 + 0.0775/12)⁴ = $664.69
FV2 = X
Now we can set up an equation to solve for X, the final payment:
PV1 + PV2 = FV1 + FV2 / (1 + 0.0775/12)⁷
Substituting the values we have calculated:
$868.15 + $1280 = $664.69 + X / (1 + 0.0775/12)⁷
Simplifying and solving for X
X = ($868.15 + $1280 - $664.69) x (1 + 0.0775/12)⁷ = $1,004.99
Therefore, the amount of the final payment is $1,004.99.
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Write the equation of the line in slope-intercept form.
Answers
to get the equation of any straight line, we simply need two points off of it, let's use those two in the picture below.
[tex](\stackrel{x_1}{-4}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{0}~,~\stackrel{y_2}{-1}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{-1}-\stackrel{y1}{4}}}{\underset{\textit{\large run}} {\underset{x_2}{0}-\underset{x_1}{(-4)}}} \implies \cfrac{-5}{0 +4} \implies \cfrac{ -5 }{ 4 } \implies - \cfrac{ 5 }{ 4 }[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{4}=\stackrel{m}{- \cfrac{ 5 }{ 4 }}(x-\stackrel{x_1}{(-4)}) \implies y -4 = - \cfrac{ 5 }{ 4 } ( x +4) \\\\\\ y-4=- \cfrac{ 5 }{ 4 }x-5\implies {\Large \begin{array}{llll} y=- \cfrac{ 5 }{ 4 }x-1 \end{array}}[/tex]
what is the solution to
-15x=90
Answers
Answer:
option c) x=-6
Step-by-step explanation:
-15x = 90
= x = 90/-15
= x = (-6)
Find the endpoints of the latus rectum of the parabola below.
(y - 1)? = 16(x + 1)
Answers
Answer:
(3, 9) and (3, -7)
Step-by-step explanation:
You want the end points of the latus rectum for the parabola defined by ...
(y -1)² = 16(x +1)
Vertex and scale factorCompare the given equation to the form ...
(y -k)² = 4p(x -h)
we see that (h, k) = (-1, 1) and p = 16/4 = 4. The ordered pair (h, k) is the vertex of the parabola. The scale factor 'p' gives the distance from the vertex to the focus (and from the directrix to the focus). Larger 'p' values result in a "flatter" parabola.
Latus rectumSince the squared term is a y-term, and the value of 'p' is positive, we know the parabola opens to the right. The end points of the latus rectum are ...
(h+p, k±2p) = (-1+4, 1±2·4) = (3, 9) and (3, -7)
__
Additional comment
If the roles of x and y are interchanged (the parabola opens up or down), then the end points of the latus rectum are (h±2p, k+p).
On a graph of the parabola, the end points of the latus rectum lie on lines through the vertex with slope ±2 (parabola opens in x-direction), or with slope ±1/2 (parabola opens in y-direction).
Can anyone help me on this
Answers
1. Bill scored the following number of points in a basketball games: 22, 18, 19, 16, 32, 24, 19, 20, 22 and 22
a. Box and Whisker plot:
b. What is the range:
c. Are there any outliers?
IQR:
Answers
b. The range is 32 - 16 = 16. and IQR 4
c. 32
how to find range?a. Here is a box and whisker plot to represent the given data:
The horizontal axis shows the range of the data, and the vertical axis represents the frequency. The box represents the middle 50% of the data, with the bottom of the box being the 25th percentile and the top of the box being the 75th percentile. The whiskers represent the lowest and highest values within 1.5 times the interquartile range (IQR) of the box, and any points outside the whiskers are considered outliers.
b. The range is the difference between the highest and lowest values in the data set. In this case, the range is 32 - 16 = 16.
c. There is one outlier in the data set, which is the value of 32. It is outside the whiskers of the box and is considered to be an outlier.
The interquartile range (IQR) is the difference between the 75th and 25th percentiles of the data set. In this case, the IQR is:
IQR = Q3 - Q1
= 22 - 18
= 4
where Q1 is the first quartile (the value below which 25% of the data falls), and Q3 is the third quartile (the value below which 75% of the data falls).
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can someone please helppp
Answers
Answer:
6 presents / minute
Step-by-step explanation:
We can represent the given information in a ratio:
amount of present wrapped : minutes it took to wrap
2/3 : 1/9
Then, we can multiply both sides by 9 (the reciprocal of 1/9) so that the right side of the ratio is 1 minute.
presents : minutes
2/3 : 1/9
× 9 × 9
6 : 1
So, Patricia can wrap 6 presents in 1 minute.
Can you help me answer this question?
Answers
Step-by-step explanation:
The constant of proportionality is just the slope of the line
using 0,0 and 3,2 points
slope = (y1-y2 ) / ( x1-x2) = (0-3) / ( 0-2) = 3/2 = constant of proportionality
What type of transformation is modeled?
Answers
The type of transformation modeled in the graph is Reflection across y-axis.
How many different coordinate transformations are there?The three different kinds of coordinate transformation are listed below. The motor's three-phase current and voltage are transformed by the Clark transformation from their original natural coordinates to two-phase static coordinates determined with reference to the stator.
What is the transformational rule?Because the domain or range values of the function f(x) have changed, rules of transformations assist in changing f(x) to a new function f'(x). With the use of these transformational rules, the function can be stretched or compressed as well as transformed vertically or horizontally.
Learn more about Coordinate geometry here:
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Alejandro is learning how to play guitar. One day out of the week, he attends a 45-minute lesson. The remaining days of the week, he practices guitar for 25 minutes per day. What total number of minutes does Alejandro spend at his lesson and practicing in 3 weeks?
Answers
Answer:
3 x 195 = 585 minutes
Step-by-step explanation:
In one week, Alejandro attends a 45-minute lesson and practices for (6 x 25) = 150 minutes (assuming a 7-day week). So, the total number of minutes that Alejandro spends on his guitar in one week is:
45 + 150 = 195 minutes
In 3 weeks, the total number of minutes that Alejandro spends on his guitar is:
3 x 195 = 585 minutes
Therefore, Alejandro spends 585 minutes on his guitar in 3 weeks, including attending a 45-minute lesson once a week and practicing for 25 minutes on the remaining days of the week.
Answer: The mean absolute deviation is approximately is 11.43.
