what is the average rate of change of the function f(x) = 2(3)^x from x = 2 to x = 4?
Answer:
Step-by-step explanation:
72
Answer:
72
Step-by-step explanation:
The way to find the average rate of change between two points is to divide \(\frac{f(a)-f(b)}{a-b}\).
1.) We plug the points into the formula. If you plug them in, you get \(\frac{2(3)^4-2(3)^2}{4-2}\).
2.) Simplify. If we simplify, we get 3^4-3^2=72
What is 3654.655 to the nearest 10?
Answer:
3654.7
Step-by-step explanation:
isbssnsbscTag c z agajama
Answer:
if rounding to the nearest 10 :
3650
if rounding to the nearest tenths :
3654.7
Given the function f(x)=2x²+3, what is the average rate of change of f on the interval [2,2+h]?
Answer:
5.2
Step-by-step explanation:
It costs $4 to buy a student ticket to the movies.
Make a table of ordered pairs in which the x-coordinate represents the number of student tickets and the y-coordinate represents the cost for 2, 4, and 5 tickets.
Tickets: 2 4 5
Cost: $8 $16 $20
Step-by-step explanation:
A rectangular prism is 6 centimeters long and 16 centimeters high. Its volume is 1,152 cubic centimeters. What is the width of the rectangular prism?
The width of the rectangular prism as required to be determined is 12 centimetres.
What is the measure of the prism's width?As evident in the task content; the rectangular prism is 6 centimeters long and 16 centimeters high while Its volume is 1,152 cubic centimeters.
Since for rectangular prisms;
Volume = length × width × height
Where,
Length = 6 centimeters
Width = w
Height = 16 centimeters
So,
Volume = length × width × height
1152 = 6 × w × 16
w = 1152 / 96
w = 12 centimeters
Ultimately the width of the rectangular prism in discuss is;12 centimetres.
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If the terminal side of angle θ is in the first quadrant and cos(θ)=3√2, what is the exact measure of θ?
There is no exact measure of θ that satisfies the condition cos(θ) = 3√2 in the first quadrant.
Given that the terminal side of angle θ is in the first quadrant and cos(θ) = 3√2, we can determine the exact measure of θ by using the inverse cosine function, also known as arccosine.
Since cos(θ) = adjacent/hypotenuse, we can set up a right triangle in the first quadrant with the adjacent side as 3√2 and the hypotenuse as 1. The opposite side of the triangle can be found using the Pythagorean theorem.
Let's calculate the length of the opposite side:
opposite^2 + adjacent^2 = hypotenuse^2
opposite^2 + (3√2)^2 = 1^2
opposite^2 + 18 = 1
opposite^2 = 1 - 18
opposite^2 = -17
Since the length of a side cannot be negative, we see that there is no real solution for the length of the opposite side. Therefore, the given cosine value of 3√2 does not correspond to an angle in the first quadrant.
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student was interested in studying the relationship between burping and eating at BCs. The hypothesis was that more expensive meals would correlate with more burping. They watched BCs patrons for two weeks and recorded the cost of meals and how often people burped while eating. In this experiment, the independent variable was ______, and they should present the data as a _____.
In this experiment, the independent variable is the cost of meals. The researchers are manipulating or varying the cost of meals to observe its effect on the frequency of burping.
The researchers should present the data as a scatter plot or a line graph. This type of graph allows for the visualization of the relationship between the independent variable (cost of meals) and the dependent variable (frequency of burping). The x-axis would represent the cost of meals, and the y-axis would represent the frequency of burping. Each data point would correspond to a specific meal, with the x-coordinate representing the cost and the y-coordinate representing the frequency of burping observed during that meal. By plotting the data points and observing the overall trend, the researchers can analyze whether there is a correlation between the cost of meals and the frequency of burping.
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8 times a number squared
Answer:
8 * x^2
Step-by-step explanation:
Answer:
yes yes yes 0982111111
5. Identify the number that is the value of 600.
A. 6,000
B. 6
C. 60
D. 0.6
Answer:
I think it's 6 or 0.6
#6 The cost of 12 tomatoes and 7 peppers is $5.36. The cost of 8 tomatoes and 5 peppers is $3.68. Find the prices of the tomatoes and peppers. A. Write a system of equations to represent the number of tomatoes, t, and the number of peppers, p. B. Solve your system of equations. C. Explain what your answer means in context.
Answer
Check Explanation
Explanation
A) Let the price of one tomato be t
Let the price of one pepper be p
The cost of 12 tomatoes and 7 peppers is $5.36.
12t + 7p = 5.36
The cost of 8 tomatoes and 5 peppers is $3.68.
8t + 5p = 3.68
B) We can then write this together and solve this as a simultaneous equation
12t + 7p = 5.36
8t + 5p = 3.68
Solving simultaneously,
t = 0.26 dollars
p = 0.32 dollars
C) In the context of the question, this means that,
The cost of one tomato = $0.26
The cost of one pepper = $0.32
Hope this Helps!!!
Does anybody know how i can choose a subject in this app
Answer:
You can click *BRAINLY* the symbol, which takes you to brainly home. Click the dropdown next to the little carrot and choose your desired subject.
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One number is 4 more than another. If 3 times the smaller number is equal to twice the larger number
Answer:
The numbers are 8 and 12.
Step-by-step explanation:
The numbers are x and x + 4.
3x = 2(x+4)
3x = 2x + 8
x = 8
Graph a line that contains the point (-3, 5) and has a slope of -2/5.
Answer:
y=-\frac{2}{5}x+\frac{19}{5}y=−52x+519
Further explanation:
We have to find the equation of the line first to graph the line.
The general form of slope-intercept form of equation of line is:
y=mx+by=mx+b
Given
m=-\frac{2}{5}m=−52
Putting the value of slope in the equation
y=-\frac{2}{5}x+by=−52x+b
To find the value of b, putting the point (-3,5) in equation
\begin{gathered}5=-\frac{2}{5}(-3)+b\\5=\frac{6}{5}+b\\5-\frac{6}{5}+b\\b=\frac{25-6}{5}\\b=\frac{19}{5}\end{gathered}5=−52(−3)+b5=56+b5−56+bb=525−6b=519
Putting the values of b and m
y=-\frac{2}{5}x+\frac{19}{5}y=−52x+519
Help! :D I just don’t understand!!
(Hey, angles rock!)
Answer:
45 + 60 = 105
Step-by-step explanation:
ABC consists of two angles, angle ABD and angle DBC. Therefore, the sum of the measures of angles ABD and DBC is the measure of ABC.
45 + 60 = 105
.
Solve: 108/9 this is hard for me can anyone help me.
Answer:
108/9 = 12
Step-by-step explanation:
if you simplify 108/9 it equals 12
convert to a decimal it also equals 12
im not exactly sure what you wanted to do with the problem but i hope this helped, let me know if im incorrect or if i can help more.
Simplify: -3x³ + 9x² + 30x -3x³-18x² - 24x ;x*-4, -2, 0
The simplified polynomial is -3x(x+2)(2x-1)
Given is a polynomial we need to simplify it,
-3x³ + 9x² + 30x -3x³-18x² - 24x
= -6x³ + 9x² + 30x -18x² - 24x
= -6x³-9x²+6x
= -3x(2x²-3x+2)
= -3x(x+2)(2x-1)
Hence the simplified polynomial is -3x(x+2)(2x-1)
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All observations in a list are multiplied by 5. Which of the following will NOT change? a)the average b)the deviations c)the standard deviation d)the observations expressed in standard units
Answer:
d)the observations expressed in standard units
Step-by-step explanation:
The average will change and hence, consequently, so will the deviations from the average and also the standard deviation. so, the only option left is d)
can some one explain this to me
D) y = 2x + 8
Step-by-step explanation:Parallel lines are coplanar lines that never intersect.
Parallel Slopes
All parallel lines have the same relationship between their slopes. For 2 lines to be parallel, their slopes must be equal. The question tells us that the slope of the first line is 2. This means that only answer choices B and D are viable.
The slopes of answer choices A and C are perpendicular to the line given.
Testing the Answers
Both B and D could be parallel to the line given; however, we are also told that the line must pass through (-2, 4). To see which answer is correct, we can plug in the x and y-values and solve. If a line passes through a point, then the equation will be true when the values are plugged in.
Let's start with answer B.
4 = 2(-2) + 44 = 0Since this statement is not true, we know that y = 2x + 4 does not pass through the point (-2, 4).
Next, we need to test answer choice D.
4 = 2(-2) + 84 = 4This is true, so y = 2x + 8 must pass through the point (-2, 4). Since answer choice D has a parallel slope and passes through (-2, 4), it must be the correct answer.
five sixths times the quantity x plus 2 end quantity minus three sixths times x equals two sixths times the quantity x plus 5 end quantity
A. Infinite solutions
B. No solution
C. x = 1
D. x = 3
The equation given has no solution. Option A is correct.
Given that,
five-sixths times the quantity x plus 2 end quantity minus three-sixths times x equals two-sixths times the quantity x plus 5 end quantity.
What is the equation?The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.
Here,
5/6[x +2] -3/6x = 2/6x +5
5x /6 + 5/3 - x/2 = 1/3x + 5
5x / 6 -x/2 -x/3 = 5 - 5/3
5x -3x -2x / 6 = 10/3
0 / 6 = 10/3
Implies equation has no solution,
Thus, the given equation has no solution.
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Establishing evaluation criteria often gives rise to subjectivity issues during the systems development life cycle (SDLC) process.
Select one:
True
False
The given statement "Establishing evaluation criteria often gives rise to subjectivity issues during the systems development life cycle (SDLC) process." is True. Because in SDLC it processes as helps to assess the effectiveness and quality of the system being developed.
There can be subjectivity issues that arise during this process as different stakeholders may have different perspectives, preferences, and priorities. For example, what one stakeholder considers to be a critical feature may not be as important to another stakeholder.
Additionally, the criteria themselves may be subjective, such as user experience or ease of use. It is important for the development team to consider these subjectivity issues and engage in open communication with stakeholders to ensure that the evaluation criteria are well-defined, consistent, and aligned with the system's goals and objectives.
This can help to minimize subjectivity issues and improve the overall quality of the system. So, the given statement is True.
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Is this linear or non linear?
Answer: This represents a linear function.
Step-by-step explanation:
I used Desmos to plot them on a graph. You can see that this is linear because each point is in a line. I hope this helps!!
What is the factored form of x^2+9x+20
x^2+9x+20
-9+-√(9)^2-4(20)/2
-9+1/2 , -9-1/2
-8/2 , -10/2
-4,-5
Answer:
(x+4)(x+5)
Step-by-step explanation:
Let's factor x2+9x+20
x2+9x+20
The middle number is 9 and the last number is 20.
Factoring means we want something like
(x+_)(x+_)
Which numbers go in the blanks?
We need two numbers that...
Addd together to get 9
multiply together to get 20
Can you think of the two numbers? hmmmmmm :D
Try 4 and 5:
4+5 = 9
4*5 = 20
Fill in the blanks in
(x+_)(x+_)
with 4 and 5 to g.et...
(x+4)(x+5)
Hope this helps :D
I need both answers now please and don answer if u don’t know
Answer:3048.7804878
Step-by-step explanation:
I took the same test p.s. you may need to round.
QUESTION 5 Let u = (1,2,-1), v = (6,4,2) € R³. 5.1 Write w = (-3,2,-5) as a linear combination of u and v. Show all working. 5.2 Is the set {u, v} linearly independent? Explain clearly. 5.3 Is (u, v) a basis for R³? Explain clearly.
5.1 w = (-3, 2, -5) can be written as a linear combination of u and v,
5.2 The set {u, v} is linearly independent, and
5.3 (u, v) forms a basis for R³.
5.1 To write the vector w = (-3, 2, -5) as a linear combination of u and v, we need to find scalars x and y such that w = xu + yv. By solving the system of equations xu + yv = w, we can find the values of x and y. Substituting the given values,
we get (-3, 2, -5) = x*(1, 2, -1) + y*(6, 4, 2).
Solving this system, we find x = -1 and y = 1.
Therefore, w = (-3, 2, -5) can be written as a linear combination of u and v as w = -u + v.
5.2 To determine if the set {u, v} is linearly independent, we need to check if the only solution to the equation xu + yv = 0 is x = y = 0.
In this case, we need to solve the system of equations x*(1, 2, -1) + y*(6, 4, 2) = (0, 0, 0). By solving this system, we find that x = 0 and y = 0 are the only solution, which means the set {u, v} is linearly independent.
5.3 To check if (u, v) forms a basis for R³, we need to verify if the set {u, v} spans R³ and is linearly independent. Since we have already established that {u, v} is linearly independent, we only need to check if it spans R³. Any vector in R³ can be expressed as a linear combination of u and v, so (u, v) is indeed a basis for R³.
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is this data symmetric and mound shaped? explain25 25 26 26 27 27 28 28 29 29
First we have to visualize the points in a graph:
as we can see, the data is not symmetrical with respect the mean of the data, therefore, this data is not symmetric nor mound shaped
Susan is going to cook a 25 pound, stuffed turkey for thanksgiving. If susan plans 20 minutes per pound, how many hours will it take to cook the turkey?.
The number of hours taken to cook the turkey is 8.34.
Susan is going to cook a 25 pound, stuffed turkey for Thanksgiving. Susan plans to cook the turkey for 20 minutes per pound. We need to calculate the number of hours it will take to cook the entire turkey.
Let the time taken to cook the complete turkey be denoted by the variable "T". The time taken to cook the entire turkey is the product of the total weight of the turkey and the time taken to cook one pound of the turkey.
T = 25×20
T = 500
So, it will take a total time of 500 minutes to cook the complete turkey. Now we'll convert the time from minutes to hours. To convert from minutes to hours, we will divide by 60.
T = 500/60
T = 8.34
Hence, it will take 8.34 hours to cook the complete turkey.
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-2 + b < 3
.............
Answer:
I believe we are solving for b. b<5
Step-by-step explanation:
HELP ME PLSSSSSS...........
Answer:
B Or c I tHaNK I pROBly Wrong
I know how to type I just type weird
I think the answer will be D.
Step-by-step explanation:
2 3\5 < b - 8\15
Multiply both sides of the equation by 15, the least common multiple of 5,15. Since 15 is positive, the inequality direction remains the same.
3(2×5+3)<15b−8
Multiply 2 and 5 to get 10.
3(10+3)<15b−8
Add 10 and 3 to get 13.
3×13<15b−8
Multiply 3 and 13 to get 39.
39<15b−8
Swap sides so that all variable terms are on the left hand side. This changes the sign direction.
15b−8>39
Add 8 to both sides.
15b>39+8
Add 39 and 8 to get 47.
15b>47
Divide both sides by 15. Since 15 is positive, the inequality direction remains the same.
b > 47\15
= b > 3 2\15
A tore i having a ale on jelly bean and trail mix. For 8 pound of jelly bean and 3 pound of trail mix, the total cot i $21. For 2 pound of jelly bean and 5 pound of trail mix, the total cot i $18. Find the cot for each pound of jelly bean and each pound of trail mix
Jelly beans are $1.5/lb and trail mix is $2.063/lb, according to the data.
What kind of concoction is trail mix?A heterogeneous mixture would be a trail mix. When the components of a combination are dispersed unevenly across the mixture, the mixture is said to be heterogeneous. As a mixture of nuts, raisins, and other seeds, trail mix cannot have an evenly distributed dispersion of its ingredients.
briefing:t = trail mix, j = jelly beans
3t + 8j = 21
5t + 2j = 18
Solving the first for t
2t = 6j - 3
t = (6j - 3)/2
Substituting
5(6j - 3)/2 + 2j = 18
j = 51/34
j = 1.5, Jelly beans cost $1.5/lb
now,
8t + 3(1.5) = 21
8t = 16.5
t = 2.0625, trailmix costs $2.063 dollars/lb
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You plan to invest $10,000 in two funds paying 4.5% and 5% simple interest. (There is more risk in the 5% fund.) Your goal is to obtain a total annual interest income of $480 from the investments. What is the smallest amount you can invest in the 5% fund and still meet your objective?
Answer:
$6000
Step-by-step explanation:
Given the following :
Total planned amount to invest = 10,000 in two funds:
Fund A at rates 4.5% and
Fund B at 5% simple interest
Total Annual Interest should be = 480
What is the smallest amount you can invest in the 5% fund and still meet your objective?
Let ;
Investment in fund A = principal = a at 4.5%(0.045)
Investment in fund B = principal = (10000 - a) at 5%(0.05)
Simple interest = principal * rate * time
a + (10000 - a) = 10000
(a * 0.045) + (10000 - a) * 0.05 = 480
0.045a + 500 - 0.05a = 480
-0.005a = 480 - 500
-0.005a = - 20
a = 20 / 0.005
a = 4000
4000 at 4.5%
Investment in fund B = principal = (10000 - a)
(10,000 - 4000) = 6000