Question 5
5 pts
Let f(x)
40e^.06t. What is the average rate of change of f over the
interval [0,3]? Give your answer as a decimal with one place of
accuracy to the right of the decimal point.
Answer:
[tex]R= 2.6[/tex]
Step-by-step explanation:
Given
[tex]f(x) = 40e^{.06t[/tex]
[tex][a,b] = [0,3][/tex]
Required
Determine the average rate of change (R)
This is calculated as follows:
[tex]R = \frac{f(b) - f(a)}{b - a}[/tex]
Where
[tex]a = 0[/tex] and [tex]b = 3[/tex]
Substitute 0 for a and 3 for b
[tex]R = \frac{f(3) - f(0)}{3 - 0}[/tex]
[tex]R = \frac{f(3) - f(0)}{3}[/tex]
[tex]R = \frac{1}{3}[f(3) - f(0)][/tex]
Calculate f(3)
[tex]f(x) = 40e^{.06t[/tex]
[tex]f(3) = 40e^{.06*3}[/tex]
[tex]f(3) = 40e^{0.18}[/tex]
[tex]f(3) = 40 * 1.197[/tex]
[tex]f(3) = 47.88[/tex]
Calculate f(0)
[tex]f(x) = 40e^{.06t[/tex]
[tex]f(0) = 40e^{.06*0}[/tex]
[tex]f(0) = 40e^{0}[/tex]
[tex]f(0) = 40*1[/tex]
[tex]f(0) = 40[/tex]
So, the expression:
[tex]R = \frac{1}{3}[f(3) - f(0)][/tex]
[tex]R= \frac{1}{3}[47.88 - 40][/tex]
[tex]R= \frac{1}{3}[7.88][/tex]
[tex]R= 2.62666666667[/tex]
[tex]R= 2.6[/tex]
Hence, the average rate of change is approximately 2.6
What is 4(2 + a) = 24
a=
Answer:
2/5
Step-by-step explanation:
Rearrange terms:
4(2 + a) = 24a
4(a + 2) = 24a
Distrbute:
4(a + 2) = 24a
4a + 8 = 24a
Subtract 8 from both sides of the equation:
4a + 8 = 24a
4a + 8-8 = 24a-8
Simplify:
4a = 24a - 8
Subtract 24a from both sides of the equation:
4a = 24a - 8
4a - 24a = 24a - 8 - 24a
Combine like terms:
-20a = -8
Divide both sides of the equation by the same term:
-20a = -8
-20a/-20 = -8/-20
Simplify:
Cancel terms that are in both the numerator and denominator
Divide the numbers
a = 2/5
I hope that helps! :D
By 27leejaeyQuestion:
Find the limit
x2 – 3x – 28/x-7
lim 7
See attachment for math work and answer.
This scatter plot shows the height of a card tower and time in minutes used to build it. Based on the information in the scatter plot, what is the best prediction for the height of a card tower at 10 minutes?
A 3 inches
B 5 inches
C 7 inches
D 8 inches
The required measure of the height of the card tower at time 10 minutes is 5 inches. option B is correct.
Given that,
This scatters plot shows the height of a card tower and time in minutes used to build it. Based on the information in the scatter plot,
A scatter plot is a collection of points plotted on two axes, horizontal and vertical. Scatter plots are useful in statistics because they illustrate the extent, if any, of correlation between the values of observed quantities or phenomena (called variables).
Here,
From the graph, the measure of the height of the card tower at time 10 minutes is to be more than 5, Following the greatest integer function the measure of the card tower is given as 5 inches.
Thus, the required measure of the height of the card tower at time 10 minutes is 5 inches. option B is correct.
Learn more about scatter plots here: https://brainly.com/question/29231735
#SPJ5
You hear that tuition is going to increase by 3% next year. If tuition
this
year is $7,200 this year, what will the tuition be next year?
Answer: $7416
Step-by-step explanation:
You look up 3% of $7200 ($216) and add that to the original price to get $7416 :)
The stock of Company A gained $1.86 throughout the day and ended at a value of $94.86. By what percentage did the stock rise
Answer:
tTe answer is 1.96%
Step-by-step explanation:
given data
change in price/gain= $1.86
the closing price = $94.86
Required.
The percent rise.
Step two:
The formula for the percent rise is
=change/close price*100
substitute our given data
= 1.86/94.86*100
=0.0196*100
=1.96%
Ella's father paid her $9.15 for helping him rake leaves, clean flower beds, and haul trash. If she received an equal amount for each job, how much did he pay her for raking the leaves?
Answer:
$3.05?
Step-by-step explanation:
draw a graph for 4,16 ; 6,36 ; 8,64 ; 10,100 points
Answer:
tyyyyy for free points have a great day
True or False, repeated decimals are all Rational Numbers!
A. True
B. False
Answer:
The answer is A: True
Step-by-step explanation:
Repeating decimals are rational numbers because there is only one number that's repeating over and over again.
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
My sister is 12 years old. My brother says that his age minus twelve is equal to my sister's age. How old is my brother?
Enter an equation, using as your variable, to find how old my brother is.
The equation is
x-12=12
x=24
your brother is 24 years old
Write the equation of the circle graphed below
Answer:
there is no circle
Step-by-step explanation:
you can add a photo with the lil link looking thing when you first ask the question
Answer:
srry no circle. I'd be happy to help if you update it tho.
Step-by-step explanation:
Does this graph represent a function? Why or why not?
The dimensions if a square are doubled. What happens to the are of the square? A) The area triples B) The area doubles. C) The area quadruples. D) The are stays the same.
Answer:
THE ANSWER IS B
Step-by-step explanation:
Roy works at the local grocery store and is paid $6.00 per hour. The
graph shown describes his salary, s, based on the number of hours, the
works.
S
19
18
17
16
15
14
18
12.
11
10
I
8
7
6
5
4
3
2
1
0
1 2 3 4 5 6 7 8
Which is an equation of the graph shown?
OA:
S=6+t
B:
S = 60
S
OD:
Mark Question For Review
Answer:
S=6t
Step-by-step explanation:
6 dollars per hour
tyler plans to start a lemonade stand and is trying to perfect his recipe of lemonade. he wants to make sure the recipe doesnt use too much lemonade mix (lemon juice and sugar) but still tastes good.
Answer:
All he has to do is make it taste good.
Step-by-step explanation:
What is the solution to the system of equations?
y = 1/3x -10
2x + y = 4
(–8, 6)
(–6, 16)
(6, –8)
(16, –6)
GIVING BRAINLIST am i right?
Answer:
yes
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
Find the coordinates of the midpoint of a segment with endpoints A(-3,7) and B(8,-2)
Answer:
the midpoint is (2.5, 2.5)
Which inquality is graft below?
Answer:
Option C - 2x + y > 2
Step-by-step explanation:
We don’t have to do some serious math here. We can already eliminate half of the options just looking at it, because the graph has a dotted line, which means it does not include those values.
So, choses A and B are eliminated because the inequality shows the ≥ and ≤ symbol, which means that it does include those values. It’s either C or D because they have the > and < symbol, which means that the inequality does not include those values.
To have a better look at the inequalities, write them in slope-intercept form, which is y=mx+b:
Option C: y > -2x + 2
Option D: y < -2x +2
Just looking at the inequlaity symbol, we can tell that Option C is the correct one because it shows that all the y-values are greater than -2x + 2. Which is true because it’s shaded above the line. When it’s shaded above the line, it means that the y-values are greater.
To make sure my answer was correct, I graphed Option C. The image below shows Option C (2x + y > 2) graphed.
Hope this helps! :)
pls help me thank you!!
I needddddddddd helppppppppp
Answer:
[tex]\frac{2}{-3}[/tex]
Step-by-step explanation:
To find the slope you only need two points from the table, and the equation [tex]\frac{y1-y2}{x1-x2}[/tex]
(1,-2) (4,-4)
[tex]\frac{-2+4}{1-4}[/tex] = [tex]\frac{2}{-3}[/tex]
HELP! It's really easy! It's due really soon but I have other assignments I need to get done... Please and thanks!
Answer:
35.235
5.62
23,845.05
0.727
22.325
Step-by-step explanation:
Answer:
35.235, 5.62, 23845.05, 0.727, 22.325.
Step-by-step explanation:
hope this helps! pls give brainliest!
who can ancer this for me?
Step-by-step explanation:
So basically what you want to do is divide how much ounces of oats you need in total by the amount the spoon will hold.
Total amount of oats needed ÷ How much the spoon holds = ?
So now you just add your values:
26 ÷ 4 = ?
26 ÷ 4 = 6.5
6.5 IS greater than 1
So, your equation could be one of these two:
Total oats needed ÷ How many oats the spoon will hold = ?
OR
26 ÷ 4 = ?
The WHS Football team is trying to raise money to buy new equipment so the players are selling wacko cards for $20 each if the football team needs to raise at least $3000 for equipment right any quality to represent the situation and find the least number of wacko cards the team must sale
Answer:
150
Step-by-step explanation:
3000/20
150.
$$$$$$$$$$$$$$$$$
Karen finished watching a movie at 1:10pm. The movie lasted 1 hour 38 minutes. Click on the time Karen started watching the movie.
Answer:
11:32
Step-by-step explanation:
Karen probably started watching the movie at 11:32 because 11:32 + 1:38 = 1:10.
32+ 38= 70, so 11:00 + 70 = 12:10, plus 1 hour = 1:10.
Answer:
11:32
Step-by-step explanation:
12 hungry friends see 8 cupcakes sitting b.
on the table. If they split the cupcakes
equally, how many does friend each get?
12 other friends are told they can eat 0.8 cupcakes each. How many total cupcakes do these 12 friends eat?
I already got the answer for the first question, but i only want to know how to do the next question, I do NOT want the answer. Thanks!
Answer: a. 1 1/2 b. 9.6
Step-by-step explanation:
HEY YOU! can you help me ?❤️
State all integer values of x in the interval (2,8) that satisfy the following inequality:
5x + 4 > 19
Answer:
3,4,5,6 and 7
Step-by-step explanation:
Given
[tex]5x + 4 \ge 19[/tex]
Required
State the values of x within 2 and 8
[tex]5x + 4 \ge 19[/tex]
Collect Like Terms
[tex]5x \ge 19 - 4[/tex]
[tex]5x \ge 15[/tex]
Divide both sides by 5
[tex]\frac{5x}{5} \ge \frac{15}{5}[/tex]
[tex]x \ge 3[/tex]
(2,8) is an open interval which means that 2 and 8 are not inclusive of the values of x.
So:
The values of [tex]x \ge 3[/tex] are: 3,4,5,6 and 7
HELLLLLPPPPPPPP MY SISTER HAS LATE HOMEWORKKKKK she need help with number 4. the empty space is the part where She need to show how She got her answer so if someone could help that would mean the world to me and her
Answer:
13
Step-by-step explanation:
13x4=52 that would be in the check section or whatever but she did really good
Answer:
Your sister did the equation perfectly. That's exactly how I would work it, and the answer is 13.
true or false the five ways to display a relation are with ordered pairs, tables, mapping diagrams, a graph, and an equation.
Answer:
I would say false
Step-by-step explanation:
the five ways i learned: Graph, Table, Symbols, Words, & Picture/context.