What is the average rate of change of g over the interval -8≤t≤2? Give an exact number.
Answers
Per the plot, looks like g(-8) = 1 and g(2) = -4. Then the average rate of change of g over [-8, 2] is
(g(2) - g(-8)) / (2 - (-8)) = (-3 - 1)/10 = -2/5
Related Questions
The vertices of quadrilateral LMNP are located at L(7,−2), M(6,−4), N(3,−7), and P(2,−3). Quadrilateral LMNP is reflected across the x-axis and then translated 8 units left to form quadrilateral L′M′N′P′.
Which are the coordinates of quadrilateral L′M′N′P′
A L′(−15,−2), M′(−14,−4), N′(−11,−7), and P′(−10,−3)
B L′(−1,−2), M′(−2,−4), N′(−5,−7), and P′(−6,−3)
C L′(−1,2), M′(−2,4), N′(−5,7), and P′(−6,3)
D L′(7,10),M′(6,12), N′(3,15), and P′(2,11)
30 POINTS
Answers
Answer: the answer should be B
Step-by-step explanation: to reflect something on a grid means to turn it around
when you turn it arund it will be the opposite of what is was before and when you move 8 units left it will become your answer
The coordinates of quadrilateral L′M′N′P′ will be L′(−1,−2), M′(−2,−4), N′(−5,−7), and P′(−6,−3).
What is geometric transformation?It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.
It is given that,
Given coordinates,
L(7,−2), M(6,−4), N(3,−7), and P(2,−3)
From the given condition Quadrilateral LMNP is reflected across the x-axis and then translated 8 units left to form quadrilateral L′M′N′P′.
The coordinates of quadrilateral L′M′N′P′ are found as,
L(7-8,−2), M(6-8,−4), N(3-8,−7), and P(2-8,−3)
L′(−1,−2), M′(−2,−4), N′(−5,−7), and P′(−6,−3).
Thus, the coordinates of quadrilateral L′M′N′P′ will be L′(−1,−2), M′(−2,−4), N′(−5,−7), and P′(−6,−3).
Learn more about the geometric transformation here:
brainly.com/question/16156895
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Stephen has $500 in an account for 9 months at a compound interest rate of 7.5%. At the end of 9 months, how much money is in his account?
Answers
Answer:
8.12
Step-by-step explanation:
Stephen has approximately $532.72 in his account at the end of 9 months with a 7.5% compound interest rate.
We can use the formula for compound interest to find the amount of money in Stephen's account at the end of 9 months:
A =P \((1 + r/n)^_(nt)\)
where:
A is the amount of money in the account at the end of the period
P is the principal (initial amount) in the account
r is the annual interest rate (as a decimal)
n is the number of times the interest is compounded per year
t is the time (in years)
We know that P = $500, r = 0.075 (since the interest rate is 7.5%), n = 12 (since the interest is compounded monthly), and t = 9/12 (since 9 months is three-quarters of a year). Substituting these values into the formula, we get:
A = \($500(1 + 0.075/12)^_{(12*(9/12))\) = \($532.72\)
Therefore, Stephen has approximately $532.72 in his account at the end of 9 months.
To learn more about compound interest rate, refer:
https://brainly.com/question/8729336
On planet Rew, there are 9 gespils to every 10 lirns. If famer Coraz has 40 spills on her annaxvip farm, how many lirns are on the farm?
Answers
Answer:
A.
Step-by-step explanation:
Create an equation with one solution of x = −4. 5x − (x − 8) = 2x − ( ______ + x)
Answers
Answer: x = 4
Step-by-step explanation:
5
x
−
(
x
−
8
)
=
2
x
−
(
x
)
Answer:
x = −4. 5x − (x − 8) = 2x − (x)
Step-by-step explanation:
The circumference of a circular park is approximately 18 feet. What is the approximate area inside the circular park?
Answers
Answer:
25.685 square feet.
Step-by-step explanation:
Circumference = 2 * π * radius
From this, we can derive the formula for the radius:
radius = Circumference / (2 * π)
Let's substitute the value of the circumference and calculate the approximate radius:
radius = 18 / (2 * π)
radius ≈ 18 / (2 * 3.14159)
radius ≈ 2.865 feet
Now that we have the approximate radius, we can calculate the area:
Area ≈ π * radius²
Area ≈ 3.14159 * (2.865)²
Area ≈ 3.14159 * 8.193225
Area ≈ 25.685 square feet
Therefore, the approximate area inside the circular park is approximately 25.685 square feet.
C = 2πr
where C is the circumference and r is the radius of the circle.
In this case, we are given that the circumference is approximately 18 feet, so we can set up the following equation:
18 = 2πr
Solving for r, we get:
r = 9/π ≈ 2.864 feet
Now we can use the formula for the area of a circle:
A = πr^2
Substituting the value we found for r, we get:
A = π(2.864 ft)^2 ≈ 25.85 ft^2
Therefore, the approximate area inside the circular park is approximately 25.85 square feet.
Please Hurry. I need this answer quickly please.
Answers
Answer:63
Step-by-step explanation:
multiply 72 by 7 then divide i by 8
(72×7)/8
=63
It's 63.
simplify the equation 7/8×72 multiple 7×9 solution is 63
Which points are 3.5 units apart?
(7.5, 1.2) and (7.5, –2.3)
(7.5, –3.5) and (7.5, 3.5)
(7.5, 1.2) and (7.5, 2.3)
(7.5, –3.5) and (7.5, 7)
Answers
Mitch went to footlocker to buy a new pair of Adidas Yeezy Boost 350 V2. The shoes cost $220.00. They are on sale for 15% off the original price. Mitch also has to pay a 7.75% sales tax on the shoes. What will Mitch pay for the shoes?
Answers
4. At Rory’s school, students must join one after-school club. Based on the data in Graph #2, which club attracted about 30% of students?
A. yearbook
B. art
C. drama
D. hiking
E. running
F. science
5. Approximately What percent of students chose not to join the yearbook club?
A. 15%
B. 30%
C. 75%
D. 85%
E. 90%
6. About what percent of students joined the art club?
A. 30%
B. 25%
C. 20%
D. 15%
E. 5%
Answers
Jaha has designed a rocket. She determines the initial velocity of her rocket is 36 meters per second. She uses the function h(t) = - 9.8t ^ 2 + 36t to find the height, h(t) based on time, t, in seconds. Jana wants to know approximately when her rocket will be at the following heights:
24 Meters
36 Meters
Answers
To find when the rocket will be at a certain height, we can set the equation for height, h(t), equal to the given height and solve for t.
For 24 meters:
-9.8t^2 + 36t = 24
-9.8t^2 + 36t - 24 = 0
We can solve for t using the quadratic formula:
t = (-b ± sqrt(b^2 - 4ac)) / 2a
where a = -9.8, b = 36, and c = -24. Plugging in these values, we get:
t = (-36 ± sqrt(36^2 - 4(-9.8)(-24))) / 2(-9.8)
t ≈ 1.87 seconds or t ≈ 3.14 seconds
So the rocket will be at a height of 24 meters approximately 1.87 seconds after launch and again approximately 3.14 seconds after launch.
For 36 meters:
-9.8t^2 + 36t = 36
-9.8t^2 + 36t - 36 = 0
Using the quadratic formula again, we get:
t = (-36 ± sqrt(36^2 - 4(-9.8)(-36))) / 2(-9.8)
t ≈ 1.16 seconds or t ≈ 3.66 seconds
So the rocket will be at a height of 36 meters approximately 1.16 seconds after launch and again approximately 3.66 seconds after launch.
Latasha played a game where she could either lose or gain points each round. at the end of 8 rounds , she has 19 points . After one more round,she had 7 points . Express the change in on points in the most recent round as a integer Heeeeeeeellllllllllllpppppppppp nfffffffffaaaaaaaaasssssssssstttttttttttttttttt
Answers
Answer:
Step-by-step explanation:
42 use a calculator to find what 845/73 is
Segment exam!!
A deli wraps its cylindrical containers of hot food items with plastic wrap. The containers have a diameter of 4.5 inches and a height of 4 inches. What is the minimum amount of plastic wrap needed to completely wrap 8 containers? Round your answer to the nearest tenth and approximate using π = 3.14.
72.4 in2
88.3 in2
579.3 in2
706.5 in2
Answers
Answer:
706.5 in²
Step-by-step explanation:
First, find the surface area of the container. The radius is 4.5/2 or 2.25. The formula for surface area is 2π r h + 2π r². When you use the radius (2.25) and the height (4) in the formula, you get 88.3125. Then, when you multiply 88.3125 by 8 because there are 8 containers, you get 706.5.
The circle graph describes the distribution of preferred transportation methods from a sample of 300 randomly selected San Francisco residents.
circle graph titled San Francisco Residents' Transportation with five sections labeled walk 40 percent, bicycle 8 percent, streetcar 15 percent, bus 10 percent, and cable car 27 percent
Which of the following conclusions can we draw from the circle graph?
Bus is the preferred transportation for 25 residents.
Bicycle is the preferred transportation for 48 residents.
Together, Streetcar and Cable Car are the preferred transportation for 42 residents.
Together, Walk and Streetcar are the preferred transportation for 165 residents.
Answers
Answer:
Bus is the preferred transportation for 25 residents.
Step-by-step explanation:
A fruit juice recipe calls for 2 parts orange juice and 8 parts pineapple juice. Which proportion can be used to find the amount of orange juice, j, that is needed to add to 18 L of pineapple juice?
2 over 8 equals j over 18
8 over 2 equals j over 18
8 over j equals 2 over 18
16 over 18 equals j over 100
Answers
The correct proportion to use to find the amount of orange juice, j, needed to add to 18 L of pineapple juice is:
2/8 = j/18
This proportion relates the ratio of orange juice to pineapple juice in the recipe (2:8) to the amount of orange juice needed to add to 18 L of pineapple juice. By cross-multiplying, we can solve for j as follows:
2/8 = j/18
218 = 8j
36 = 8*j
j = 36/8
j = 4.5
Therefore, you would need to add 4.5 L of orange juice to 18 L of pineapple juice to create the fruit juice recipe that calls for a ratio of 2 parts orange juice to 8 parts pineapple juice.
Answer:
2 over 8 equals j over 18Step-by-step explanation
2 over 8 equals j over 18
This proportion represents the ratio of orange juice to pineapple juice in the recipe. By setting up the proportion, we can solve for the value of 'j,' which represents the amount of orange juice needed.
So, the correct proportion is:
2 over 8 equals j over 18
Mr. Paulsen challenges Olivia and Angelica to move figure ABCDE onto figure A"B"C"D"E" using a series of two different transformations. They give two different answers.
Answer the questions to investigate ways to transform ABCDE.
1. Olivia finds a combination of two different transformations that moves ABCDE onto A"B"C"D"E". What is one way she might have done this?
2. Angelica reflects ABCDE over the y-axis and translates it up 8 units. Does her transformed figure match A"B"C"D"E"? If not, describe how her transformed figure compares to A"B"C"D"E".
3. Michael says he can move ABCDE onto A"B"C"D"E" with one transformation by translating ABCDE diagonally so that it moves 8 units up and 10 units right. Is he correct? Explain why or why not.
Answers
Problem 1
One method Olivia could have used is to reflect over the x axis and then translate 10 units to the right.
Let's apply these set of steps to point C.
C = (-2,-4)
C' = (-2,4) after reflecting over the x axis; y coordinate flips in sign
C'' = (8,4) after shifting to the right 10 units; add 10 to the x coordinate
Point C(-2,-4) moves to C''(8,4) which is shown in the diagram. I'll let you check the other four points.
-----------
Another method Olivia could have used is to shift to the right 10 units first, then reflect over the x axis. In this case, the order doesn't matter. Though for some other combinations of transformations, order does matter.
============================================================
Problem 2
Reflecting over the y axis will have the point (x,y) turn into (-x,y). Only the x coordinate changes, and we flip the sign here. The y coordinate stays the same.
A point like C(-2,-4) becomes C'(2,-4) after the y axis reflection. Shifting up 8 units means we add 8 to the y coordinate to arrive at C''(2,4) but this does not match what the diagram shows. Therefore, Angelica's method is incorrect.
You should find other inconsistencies for the other four points as well.
============================================================
Problem 3
Michael's method isn't correct either. He does not apply an x axis reflection and instead relies entirely on translations to move ABCDE to A''B''C''D''E''
At a quick glance, it looks like Michael may be correct. But upon a much closer look, you'll see that things don't line up perfectly.
Instead of point C, we'll pick on point D this time.
D is located at (-6,-2). If we shift up 8 units, then we add 8 to the y coordinate to get to D'(-6,6). Then add 10 to the x coordinate to shift 10 units to the right. This leads us to D''(4,6).
However, the diagram shows D'' is actually at (4,2)
I'll let you check the other points. You should find that only points C and E go to the correct locations, but the other points do not. Again, this is because Michael did not apply an x axis reflection. His figure of A''B''C''D''E'' is upside down compared to what it should be.
============================================================
To summarize, the methods described in problem 1 are the correct way to get ABCDE to move to A''B''C''D''E''. If Olivia followed either of those two methods, then she is correct. Both Angelica and Michael have incorrect methods.
PLZ HELP 30 PTS ANSWER FAST AND I GIVE BRAINLIEST AND 5 STARS TO THE PEOPLE WHO DON'T GET BRAINLIEST!!!!!
Mr. Jacobs is going to make a histogram of the test scores from the last math test he gave. He plans to first organize the data into a stem-and-leaf plot and then make the histogram from the stem-and-leaf plot. The test scores are listed below.
79, 82, 65, 61, 94, 97, 84, 77, 89, 91, 90, 83, 99, 71, 68, 77, 87, 85
Which of the following histograms represents this data?
Answers
Answer:
4
Step-by-step explanation:
What is $400 at 3% for 5 years?
A. Find the interest earned
B. Find the balance of the account
Answers
Answer:
Step-by-step explanation:
A. 63.71
B. 463.71
in a three digit number, the tens digit is the same as the hundreds digit. the ones digit of this number is equal to 1/3 of the sum of the other two digits. find the number if the sum of all its digits is equal to 24
Answers
_ _ _
x x 2x divided by 3
2x + 2x/3 = 24
^times 3 to remove the fraction
6x + 2x = 72
8x = 72
x = 9
Number:
996
PLEASE DONT COME AFTER ME IF I WRONG
Find the radius given the linear speed and the rate of rotation.
v = 82.3 m/s
131 rev/min
Answers
who ever is correct first and fast is going to be givin brainliest if i can figer it ouy
Answers
Answer:
3 1/3
Step-by-step explanation:
2/3 x 5 = 10/3 = 3 1/3
Answer:
\(3\frac{1}{3}\) litres
Step-by-step explanation:
Each container has 2/3 of drink in it, so to find the amount of drink in all 5, we multiply by 2/3 by 5:
\(5*\frac{2}{3} =\frac{10}{3} =3\frac{1}{3}\)
PLEASE HELP! Im not sure if my answer is correct!
Answers
Answer:
you are correct please give me brainliest
Step-by-step explanation:
pls helppppppppppppppppppp
Answers
Answer:
Student b
]
Step-by-step explanation:
Student b
Answer:
Student B
Step-by-step explanation: A forgot that the numerator has to be bigger than the denominator on both sides for the fraction to be equal. 6/5 is not proportionate to 45/15 which equals 3
3 doesn't equal 1 and 1/5
Can anyone make an explaination?
Answers
Answer:
It is point c
Step-by-step explanation:
ok so the coordinates are always (x,y) so therefore if X is 0 then it stays in the middle of the graph and doesn't go anywhere. since Y is -3, y always goes down or up. so if it goes down then it is negative. up is always positive. same with x. X is always horizontal so if it moves right, it is positive and left (backwards) is negative. hope this helps and isn't confusing. *Also, since it's -3, then it goes down negative 3 units. *
Answer:
C
Step-by-step explanation:
In the coordinate (x,y), x refers to the place of point above the horizontal line while y represents the place of point in the side to its vertical lines.
Here, x is 0, that means it is lying on y line and y is -3, that means it's lying in 3rd quadrant. So, point C matches them completely. That's why the correct answer is C.
Hope it helped. Pls mark me the BRAINLIEST! Any questions ask in comments :)
Geometry
Answer with a proper explanation
Answers
Answer:
15 sides
Step-by-step explanation:
As we know the full angles of a polygon is 360°
And
Each side has angle 24°
So,
n = 360/24
n = 15 sides
I hope my answer helps you.
The polygon has 5 sides.
Step-by-step explanation:
Given in the diagram, the angle between the ends of each side is given i.e. 24degrees between ends of a side from the centre. Or it can also be said that each side of the polygon subtends an angle at the centre 'O' i.e. each 24*.
=> We know that sum of angles around a point = 360*, so sum of angles around centre = 360*
And 24* in the centre subtends a side of the polygon;
Using the logic - no. of sides = 360*/24* = 15 = 15 sides
help will give brainliest
Answers
Answer:
Its C
Step-by-step explanation:
What is the smallest whole number that is equal to seven times the sum of its digits?
Good Luck!!! First Right Asnwer gets brainliest!!!
Answers
Answer:
21
Step-by-step explanation:
Explanation:
The two-digit number ab stands for 10a + b since the first digit represents 10s and the second represents units. If 10a + b = 7(a + b), then 10a + b = 7a + 7b, and so 3a = 6b, or, more simply, a = 2b. That is, the second digit must be twice the first. The smallest such number is 21.
Who ever gets this right will get a brainiest and a good rating
Answers
Answer:
Radius: 7 cm, Diameter: 14 cm
Step-by-step explanation:
Correct me if I'm wrong, but I understood that 14 cm is the length of the line segment drawn across the circle. We know that the definition of the diameter is "any straight line segment that passes through the center of the circle and whose endpoints lie on the end of each circle", which can be defined as the line that is shown with a length of 14 cm. It is also known that the radius, a line drawn from the center of the circle to an endpoint, is always half of the diameter, which in this case is 14 cm, so the radius would be 7 cm.
Please help. I will be happy.
Answers
Answer:
The distance between -34 and +16 is 50
the distance between -34 and -16 is 18
Step-by-step explanation:
Answer:
[First Answer] 50
[Second Answer] 18
Step-by-step explanation:
Since these are not coordinate-points and just numbers on a number line, we can subtract the smaller number from the larger number to get our answer.
[First Answer] 16 - - 34 = ? -> 16 + 34 = 50
[Second Answer] - 16 - - 34 = ? -> - 16 + 34 = 18
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Please help immediately. I need only 10 more questions on IXL to get 100%
Answers
65
It’s pretty step forward
Keira said that if 6 tickets are sold, there should be 2 tickets left. Is Keira correct?
Answers
According to Keira, if 6 tickets are sold, there should be 2 tickets left. However, we don't have any information about the initial number of tickets available.
If the total number of tickets initially was 8, and 6 tickets were sold, then there would indeed be 2 tickets left, supporting Keira's statement.
However, if the total number of tickets initially was less than 8, or if the statement doesn't specify the initial number of tickets, we cannot determine if Keira's statement is correct.
Therefore, without additional information, we cannot determine the accuracy of Keira's statement.