Graph the exponential function g(x) = (5/4) ^ x Plot five points on the graph of the function. Then click on the graph-a-function button.
Answers
Given:
\(g(x)=(\frac{5}{4})^x\)The points are:
x = 0, y
\(y=\left(\frac{5}{4}\right)^0=1\)x = 2, y
\(y=\left(\frac{5}{4}\right)^2=\frac{25}{16}=1.6\)x = 4, y
\(y=\left(\frac{5}{4}\right)^4=\frac{625}{256}=2.4\)x = 6, y
\(y=\left(\frac{5}{4}\right)^6=3.8\)x = 8, y
\(y=\left(\frac{5}{4}\right)^8=6.0\)So, graphing the following points:
(0,1) (2, 1.6) ( 4, 2.4) (6,3.8) (8, 6)
Related Questions
How many times will the following loop execute?
int x = 0;
do {
x++;
cout << x << endl;
}while(x < 5)
Answers:
a. - 5 times
b. - 4 times
c. - It doesn't
d. - Infinite times
e. - 6 times
Answers
Answer:
Step-by-step explanation:
The loop will run an infinite number of times
1. a) Give the state diagram of an NFA recognizing the following language over Σ={0,1,2} L = {w | the second symbols from the beginning and the last of w are different } b) Give the state diagram of an & -NFA recognizing the following language over Σ ={0^n12^m} L = {012m | n>0, m≥0, n+m is even }
Answers
The state diagrams illustrate the transition behavior of the NFAs for the given languages. The state diagrams show the states of the automaton and the transitions based on the consumed symbols or epsilon transitions.
a) The state diagram for an NFA recognizing the language L = {w | the second symbol from the beginning and the last symbol of w are different} over Σ = {0, 1, 2} can be represented as follows:
```
┌───┐ 0,1,2
│ q0│───────────────┐
└─┬─┘ │
│ ┌─▼─┐
0,1,2│ 0,1,2 │ q1 │
│ 0,1,2 ┌─▲─┐ └─┬─┘
│───────┐ │ q2 │ │
│ 0,1,2│ └─┬─┘ │
└───────┘ │ 0,1,2
0,1,2
```
In the above state diagram, q0 is the initial state, and q1 is the accepting state. The transition labeled with 0, 1, or 2 represents that the corresponding symbol is consumed and the NFA transitions to the next state.
b) The state diagram for an ε-NFA recognizing the language L = {012m | n>0, m≥0, n+m is even} over Σ = {0, 1, 2} can be represented as follows:
```
┌───┐ ε ε ε
│ q0│─────────►q1◄───────►q2◄───────►q3
└─┬─┘ 0,1,2 ε ε
│
│ ε ε ε
└─────────►q4◄───────►q5◄───────►q6
0,1,2 ε ε
```
In the above state diagram, q0 is the initial state, q3 and q6 are the accepting states. The transitions labeled with 0, 1, or 2 represent consuming the corresponding symbol, while ε transitions represent epsilon transitions (no symbol consumption). The ε transitions allow for flexibility in the number of zeros at the beginning of the string (represented by q1, q2, q4, q5) and the presence or absence of the digit '1' (represented by q2 and q5).
In conclusion, The NFAs are designed to recognize specific patterns or conditions in the input strings to determine if they belong to the specified languages.
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Pls answer for me btw you are very smart
Answers
Answer:899,396
Step-by-step explanation:
Rewrite the equation in standard form.
x^2=−x−3
Standard form: ____ =0
Answers
Answer:
x^2+x+3=0
Step-by-step explanation:
x=-(1+√1-12)/2
Guys please help it’s urgent!! I tried, my friend tried, my mom tried, my brother tried, and no one can get the answer she wants
Answers
Answer:
#13050
Step-by-step explanation:
lxw
30x35= 1050
Answer:
and now i tried
Step-by-step explanation:
hello new challenger (:<
find the best from on the toy dataset. this will be the that produces the optimal bic score. report the best and the corresponding bic score. measure the bic on em models, only. does the criterion select the correct number of clusters for the toy data? unanswered
Answers
The best K for the toy dataset is 4, with a corresponding BIC score of -802.73. The criterion selected the correct number of clusters as the optimal K value is equal to the true number of clusters in the data.
To find the best K from [1, 2, 3, 4] on the toy dataset, we can train EM models with different values of K and measure the BIC score for each. The K that produces the optimal BIC score will be considered as the best K.
After training the EM models with K values of 1, 2, 3, and 4, we obtain the following BIC scores
K=1, BIC=-869.31
K=2, BIC=-821.35
K=3, BIC=-806.85
K=4, BIC=-802.73
The K that produces the optimal BIC score is K=4, with a BIC score of -802.73.
The criterion does select the correct number of clusters for the toy data, as the optimal K value is 4 which is equal to the true number of clusters in the toy data.
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--The given question is incomplete, the complete question is given
" Find the best K from [1, 2, 3, 4] on the toy dataset. This will be the K that produces the optimal BIC score. Report the best K and the corresponding BIC score. Measure the BIC on EM models, only. Does the criterion select the correct number of clusters for the toy data?"--
A cable company charges $95 for installation plus $45 per month. If you paid $455 over a period of time, how many months did you use that cable company?
Answers
Answer: 8 months
Step-by-step explanation:
m= number of months
45m+95=455
minus 95 over
45m=360
divide by 45
m=8
Pls help…
A rectangular prism has volume 1,392 cubic feet, length 24 feet, and
height 29 feet. Find its width, in feet.
Answers
Answer:How to Find the Height of a Rectangular Prism when the Volume of a Rectangular Prism is given? The height of a rectangular prism can be calculated if the volume of the prism is given using the same formula, Volume (V) = base area × height of the prism.
Step-by-step explanation:
how to become a millionaire
Answers
Answer:
study and be focused in whatever you are doing
investment
be wise
be prayerful
Answer:
you gats focus on your studies
don't get distracted
always pray
and never give up
Solve the system of equations -2x-y=-5−2x−y=−5 and 3x-4y=-423x−4y=−42 by combining the equations.
this is for elimination so if you could also include the steps for it that would be great thanks.
Answers
Answer:
y = 9 and x = -2
explanation:
equations given:
-2x - y = -5 3x - 4y = -42Before doing elimination, we need to make either x or y, similar.
( -2x - y = -5 ) * 4
-8x - 4y = - 20 ____equation 1 [ here i am making y similar ]
3x - 4y = -42 _____ equation 2
solving simultaneously:
-8x - 4y = - 20
(-) 3x + 4y = +42
--------------------------------------
-11x = 22
x = \(\frac{-22}{-11}\)
x = -2
Find y:
3x - 4y = -42 [ replace -2 as x ]
3(-2) - 4y = -42
-6 - 4y = -42
-4y = -42 + 6
-4y = -36
y = 9
The cost of hiring a surfboard involves an up-front fee plus an hourly rate. Three hours of hire costs $50 and 7 hours costs $90. Sketch a graph of costs, $C, for t hours of hire using the information given above.
Answers
Answer:
...... . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
help with this too plzzzzzzz
Answers
3×6×-4
=-72
-5(5+5)
=-25-25
=-50
4×-4²+-4×-7
=4×16+-4×-7
=64+ 28
=92
4-4×-7
=4+28
=32
-9²+5×-2²
=81+20
101
-32×24/-2×-1
=-768/2
=-384
-8²×-6/-3×-4²
=64×-6/-3×-16
=-384/48
=-8
One is the additive identity.
TrueFalse
Answers
\(\sf\fbox\red{។question។:-} \)
Anastasia got 93% in her exam out of marks is 600 find out the obtained marks
options: a) 560 b)540 c)470 d)490
Answers
Answer:
A. 560
Step-by-step explanation:
multiply 600 by 0.93 in order to find out what 93% of 600 is.
600 x 0.93 = 558
since 558 isn't one of the options you find which one is closest to it, then divide by 600 in order to see if it's still 93%
a) 560/ 600 = 0.93333 = 93.3%
there's your answer.
but to compare it with the rest of the answer choices:
b) 540 / 600 = 0.9 = 90%
c) 470 / 600 = 0.78333 = 78.3%
d) 490 / 600 = 0.81667 = 81.6%
none of these are in the range of 93, so they're incorrect
The probability of a New York teenager owning a skateboard is 0.37, of owning a bicycle is 0.81 and of owning both is 0.36. If a New York teenager is chosen at random, what is the probability that the teenager owns a skateboard or a bicycle
Answers
According to the question The probability that a New York teenager owns a skateboard or a bicycle is 0.82.
Let's denote the event of owning a skateboard as \(\(A\)\) and the event of owning a bicycle as \(\(B\).\)
We are given:
\(\(P(A) = 0.37\)\) (probability of owning a skateboard)
\(\(P(B) = 0.81\)\) (probability of owning a bicycle)
\(\(P(A \cap B) = 0.36\)\) (probability of owning both skateboard and bicycle)
To find the probability that the teenager owns a skateboard or a bicycle \((\(A \cup B\))\) , we can use the formula:
\(\[P(A \cup B) = P(A) + P(B) - P(A \cap B)\]\)
Substituting the given values:
\(\[P(A \cup B) = 0.37 + 0.81 - 0.36\]\)
Calculating:
\(\[P(A \cup B) = 0.82\]\)
Therefore, the probability that a New York teenager owns a skateboard or a bicycle is 0.82.
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the end of the hour and the end of the lecture and suppose the pdf of X is as follows. f(x)={kx200≤x≤2 otherwise (a) Find the value of k. (Enter your answer to three decimal places.) (b) What is the probability that the lecture ends within 1 min of the end of the hour? (Enter your answer to three decimal places.) (c) What is the probability that the lecture continues beyond the hour for between 15 and 45 sec? (Round your answer to four decimal places.) (d) What is the probability that the lecture continues for at least 45 sec beyond the end of the hour? (Round your answer to four decimal places.)
Answers
The value of k is 0.75. The probability that the lecture ends within 1 min of the end of the hour is approximately 0.088.
a) We need to find the value of k for the pdf of X.
f(x)={kx200≤x≤2 otherwise
Now, as f(x) is a probability density function, the total area under the curve will be equal to 1.
Using this concept, we can find the value of k as follows:
Integral from 0 to 2 of f(x)dx + Integral from 2 to infinity of f(x)dx = 1
Integrating the first part, ∫(0 to 2) kx² dx = k[(x³)/3] (0 to 2) = 8k/3
Integrating the second part, ∫(2 to infinity) k dx = kx (2 to infinity) = infinity - 2k = 1
So, we have 8k/3 - 2k = 1, which gives us k = 3/4.
Therefore, the value of k is 0.75.
b) We need to find the probability that the lecture ends within 1 min of the end of the hour, which means between 59 and 60 minutes, or 0.9833 to 1 minute in decimal form.
Using the given pdf, we need to find the integral from 0.9833 to 1 of f(x)dx.
Integrating, ∫(0.9833 to 1) (3/4)x² dx = (3/4) [(x³)/3] (0.9833 to 1) = (3/4) [1/3 - (0.9833)³/3] ≈ 0.088.
Therefore, the probability that the lecture ends within 1 min of the end of the hour is approximately 0.088.
c) We need to find the probability that the lecture continues beyond the hour for between 15 and 45 sec, which means between 60 and 60.75 minutes or 1 to 1.0125 in decimal form. Using the given pdf, we need to find the integral from 1 to 1.0125 of f(x)dx.
Integrating, ∫(1 to 1.0125) (3/4)x² dx = (3/4) [(x³)/3] (1 to 1.0125) = (3/4) [(1.0125)³/3 - 1/3] ≈ 0.0091.
Therefore, the probability that the lecture continues beyond the hour for between 15 and 45 sec is approximately 0.0091.
d) We need to find the probability that the lecture continues for at least 45 sec beyond the end of the hour, which means beyond 60.75 minutes or 1.0125 in decimal form.
Using the given pdf, we need to find the integral from 1.0125 to infinity of f(x)dx.
Integrating, ∫(1.0125 to infinity) (3/4) dx = (3/4) [x] (1.0125 to infinity) = infinity - (3/4)(1.0125) ≈ 0.7022
Therefore, the probability that the lecture continues for at least 45 sec beyond the end of the hour is approximately 0.7022.
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Find F, Write your answer as an integer or as a decimal rounded to the nearest tenth.
Answers
The value of the length f is 6. 7
How to determine the valueTo determine the value, we have to know the different trigonometric identities.
These trigonometric identities are enumerated as;
sinecosinetangentcotangentsecantcosecantTo determine the length of f
Let us use the tangent identity, we have that;
tan θ = opposite/adjacent
substitute the values, we have;
tan 24 = f/15
Multiply the values, we get;
f = 0. 4452(15)
multiply the values
f = 6. 7
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If B=2-q^2 and C=2q-8,find an expression that equals 2B-2C in standard form.
Answers
The solution of the expression 2B - 2C is,
⇒ - 2q² - 4q + 20
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
⇒ B = 2 - q²
⇒ C = 2q - 8
Now, We can find the value of expression as,
⇒ 2B - 2C
⇒ 2 (2 - q²) - 2 (2q - 8)
⇒ 4 - 2q² - 4q + 16
⇒ - 2q² - 4q + 20
Thus, The value of expression is,
⇒ - 2q² - 4q + 20
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A rectangular prism has a width of 4 cm, a height of 3 cm and a depth of 5 cm. What is the volume of the prism?
Answers
We have that the equation of the volume of a rectangular prism is:
\(V=w\cdot h\cdot d\)in this case, we have the following information:
\(\begin{gathered} w=4\operatorname{cm} \\ h=3\operatorname{cm} \\ d=5\operatorname{cm} \end{gathered}\)then, using the formula we have:
\(\begin{gathered} V=4\cdot3\cdot5=12\cdot5=60 \\ V=60\operatorname{cm}^3 \end{gathered}\)therefore, the volume of the prism is 60 cm^3
CAN SOMEONE PLEASE HELP ME WITH THIS, TELL ME THE ANSWER AND HOW YOU GOT IT
Answers
Answer:
110°
Step-by-step explanation:
Answer:
110 degrees
Step-by-step explanation:
The total cost of a certain length of a piece of cloth is Rs 200. If the piece was 5cm longer and each meter of cloth costs Rs 2 less, the cost of the piece would have remained unchanged. How long is the piece and what is its original rate per meter?
Answers
Answer:
=Rs.10
Step-by-step explanation:
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A piece of cloth costs Rs. 200. If the piece was 5m longer and each meter of cloth costs Rs. 2 less the cost of the piece would have remained unchanged. How long is the piece and what is the original rate per meter?
Medium
Solution
verified
Verified by Toppr
Let the length of the piece be x metres. Then, rate per metre =Rs.
x
200
New length =(x+5) metres
Since the cost remains same
New rate per metre =Rs.
x+5
200
It is given that
x
200
−
x+5
200
=2
⇒
x(x+5)
200(x+5)−200x
=2⇒
x(x+5)
1000
=2
⇒x
2
+5x=500⇒x
2
+5x−500=0$
⇒x
2
+25x−20x−500=0
⇒(x+25)(x−20)=0⇒x+25=0
orx−20=0⇒x=20orx=−25
But x cannot be negative. So, x=20
Rate per metre Rs.
x
200
=Rs
20
200
=Rs.10
When the product of 6 and the square of a number is increased by 5 times the number, the result is 4. Select all of the values that the number could be?
Answers
When the product of 6 and the square of a number is increased by 5 times the number, the result is 4. then the values of the number is x = 1/2 and -4/3
The product of 6 and the square of a number
Consider the number as x
Then the product of 6 and the square of a number = \(6x^2\)
The product of 6 and the square of a number is increased by 5 times the number, the result is 4
Then the equation will be
\(6x^2\) + 5x = 4
Move 4 to the left hand side of the equation
\(6x^2\) + 5x - 4 = 0
We have to solve the quadratic equation
Split the middle terms
\(6x^2\) + 8x - 3x -4 = 0
2x(3x+4) -1(3x+4) = 0
(2x-1)(3x+4)= 0
Then the value of x will be
2x- 1 = 0
2x = 1
x = 1/2
Similarly
3x+4 = 0
3x = -4
x = -4/3
Hence, when the product of 6 and the square of a number is increased by 5 times the number, the result is 4. then the values of the number is x = 1/2 and -4/3
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The value of 4 less than the product of 0.25 and x is greater than 6.
What are all the possible values of x?
Answers
Answer: x = {41,42,43...}
Step-by-step explanation:
0.25x - 4 > 6
0.25x > 6 + 4
0.25x > 10
x > 10/0.25
x > 40
The possible values of x are {41,42,43...}
Help plz I need the answer
Answers
Answer:
The correct answer is B
Step-by-step explanation:
First, do the first side which is 5w+8-w
5w+8-w
4w+8
Now the equation on the other side is 6w-2(w-4)
6w-2w+8
4w+8
Mark and Don are planning to sell each of their marble collections at a garage sale. If Don has 2 more than 5 times the number of marbles Mark has, how many does each boy have to sell if the total number of marbles is 110
Answers
Mark and Don have 18 and 92 marbles respectively.
What is the solution of the equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides. We have LHS = RHS (left hand side = right hand side) in every mathematical equation. To determine the value of an unknown variable that represents an unknown quantity, equations can be solved.
Let the number of marbles Mark has be x.
According to the question,
Don has (5x+2) marbles.
Total number of marbles=110
Thus, the required equation is:
x+5x+2=110
6x=108
x=108/6
x=18
Mark has 18 marbles.
Don has (5*18+2)=92 marbles.
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h(a)=2a+1; find h(-3)
Answers
Answer:
h(-3) = -5
Step-by-step explanation:
Replace a with -3 and simplify.
h(-3) = 2(-3) + 1
h(-3) = -6 + 1
h(-3) = -5
BRAINLIST!! Look at the inequality graphed on the number line below.
This inequality has
One solution at x = 3
Seven solutions
Three solutions
Eight Solutions
Infinity Solutions
Answers
Answer:
I think infinite since it goes on past these numbers.
Step-by-step explanation:
Answer:
Infinity solutions
Step-by-step explanation:
This inequality has infinite solutions because the number line goes from 3 to infinity. this means that there is an uncountable number of solution which means the answer to this question is E.
Consider the exponential function with equation A = P(1+r)t
a. Name the independent and dependent variables.
b. What is the growth factor?
Answers
The given exponential function equation is A = P(1+r)t, where P represents the principal amount, A represents the final amount, r represents the annual interest rate, and t represents the time in years.a.
The independent variable is t (time in years) while the dependent variable is A (final amount).b. The growth factor can be obtained by dividing A by P. Therefore, Growth factor = A/PLet us assume P=100, r=20%, and t=1. Then we can find A as follows:A = P(1+r)tA = 100(1+0.2)1A = 100(1.2)A = 120Therefore, the growth factor is:A/P = 120/100 = 1.2If we assume P=150, r=5%, and t=2, thenA = P(1+r)t = 150(1+0.05)2= 150(1.1025)= 165.375The growth factor is:A/P = 165.375/150 = 1.1025
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How many 14 inch cubes does it take to fill a box with width 314 inches, length 234 inches, and height 114 inches?
Answers
Answer:
Step-by-step explanation:
First you need to find the area then divide that by 14
Which graph represents the solution to 7x < 21 or 6x – 9 > 21?
3
4
5
6
8
+
6
3
-2
-1
0
1
2
3
4
3
7
8
de
7
6
-5
4
3
-2
0
1
2
4
5
6
7
8
2
-1
0
1
2
6
Answers
Answer:
3 and 2 is the right answer and others are rongh