To find the percentage rate of change of a function at a specific point, we need to find the derivative of the function. The percentage rate of change of f(t) = e^-0.09t^2 at t=1 and t=5 is approximately -17.75% and -13.65%, respectively.
To find the percentage rate of change of a function at a specific point, we need to find the derivative of the function at that point and then multiply it by 100%. Thus, the derivative of f(t) is given by:
f(t)=e^-0.09t^2
f'(t) = (-0.18t)e^(-0.09t^2)
Evaluating f'(1) and f'(5) yields:
f'(1) = (-0.18)(1)e^(-0.09(1)^2) ≈ -0.1606
f'(5) = (-0.18)(5)e^(-0.09(5)^2) ≈ -0.1851
To find the percentage rate of change, we multiply the derivative by 100% and divide by the function value at the respective point:
Percentage rate of change at t=1:
= (f'(1)/f(1)) * 100%
= (-0.1606/e^-0.09) * 100%
≈ -17.75%
Percentage rate of change at t=5:
= (f'(5)/f(5)) * 100%
= (-0.1851/e^-0.09) * 100%
≈ -13.65%
Therefore, the percentage rate of change of f(t) at t=1 and t=5 is approximately -17.75% and -13.65%, respectively.
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Write each ratio in three different ways based on the table. Party Mix Makes 8 Cups 3 cups pretzels 3 cups bagel chips 1 cup cheese crackers 1 cup peanuts
3
Gürkan bisikletiyle birinci gün 3.1 km, ikinci gun 4.5 km ve puncu
gun 4.25 km yol almıştır Gürkan üç günde toplam kaç km yol aims
tir? Tahmin ediniz Tahmininizi işlem yaparak kontrol ediniz.
tahmin etmek için yuvarlama yapmak gerekir 3,1=3 4,5=5 4,25=4,20 hepsini toplarsak 12,20
A slide 4.1 meters long makes an angle of 35 degrees with the ground. To the nearest tenth of a meter, how far above the ground is the top of the slide?
Answer:
hope it helped
have a nice day
The distance between the ground and the top of the slide is 2.4 meters.
Given:
The length of the slide is 4.1 meters.
The angle between slide and ground is 35 degrees.
To find:
The distance between the ground and the top of the slide.
Explanation:
Let [tex]x[/tex] be the distance between the ground and the top of the slide.
Using the given information draw a figure as shown below.
In the below figure,
[tex]\sin 35^\circ=\dfrac{x}{4.1}[/tex]
[tex]\sin 35^\circ\times 4.1=x[/tex]
[tex]2.35166...=x[/tex]
[tex]x\approx 2.4[/tex]
Therefore, the distance between the ground and the top of the slide is 2.4 meters.
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A sum of money is divided between Mohan and Sohan in the ratio 5:7 . If Sohan's share is ₹665, find the total amount.
please help me fast.
Answer:
1140
Step-by-step explanation:
7u-> 665
1u->95
7+5=12
12u->1140
what's
[tex](4 \sqrt{2} ) {}^{2} [/tex]
Answer:
32
Step-by-step explanation:
(4√2)^2=4^2×(√2)^2
=16×2
=32
A recipe calls for 4 spoons of sugar for every 40g of flour if 240g of flour is used how much sugar would be needed
Answer:
24 spoons of sugar
Step-by-step explanation:
240/40= 6
6x4= 24
Given the expression below, identify its factors.
3a + 4b– 7c - 12
Answer:
i dont think you can solve this because
The expression is not factorable with rational numbers.
there are no like terms
Mark is going to an awards dinner and wants to dress appropriately. He is running behind schedule and asks his little brother to randomly select an outfit for him. Mark has one blue dress shirt, one white dress shirt, one black dress shirt, one pair of black slacks, one pair of grey slacks, and one red tie. All six of his possible outfits are listed below. Let A AA be the event that Mark's little brother selects an outfit with black slacks and B BB be the event that he selects an outfit with a blue shirt. What is P ( A or B ) P(A or B)P, left parenthesis, A, start text, space, o, r, space, end text, B, right parenthesis, the probability that Mark's little brother selects an outfit with black slacks or an outfit with a blue shirt? Shirt Slacks Tie Outfit 1 11 Blue Black Red Outfit 2 22 Blue Grey Red Outfit 3 33 White Black Red Outfit 4 44 White Grey Red Outfit 5 55 Black Black Red Outfit 6 66 Black Grey Red
Answer:
The answer is "[tex]\bold{\frac{2}{3}}[/tex]".
Step-by-step explanation:
Pick a shirt first: 3 choices
Pick slacks next: 2 choices
Then choose a tie: 1 choice
Total: [tex]3 \times 2 \times 1 = 6[/tex] outfits.
These will be similarly divided between the two slacks, so 3 black slack outfits of [tex]6 = \frac{1}{2}[/tex]. Similarly, the 6 styles are also divided between the option of 3 shirts. 2 blue shirt outfits [tex]6 = \frac{1}{3}[/tex]
To recognize that over outfits are a mix of a blue shirt and black slack, it would be twice many more to add [tex]\frac{1}{2} \ and \ \frac{1}{3}[/tex]. Add [tex]\frac{1}{2} \ and \ \frac{1}{3}[/tex], and remove the chance for both the black slack shirt and outfit and are one of the six outfits:
[tex]\to \frac{1}{2} + \frac{1}{3} -\frac{1}{6} =\frac{3+2-1}{6} =\frac{4}{6} = \frac{2}{3}[/tex]
Each pair of polygons is similar. Find each missing side measure. two polygons 12 on top 5 on bottom second polygon 48 on top x on bottom
Answer:
[tex]x = 20[/tex]
Step-by-step explanation:
Given
First Polygon:
[tex]Top = 12[/tex]
[tex]Bottom =5[/tex]
Second Polygon
[tex]Top = 48[/tex]
[tex]Bottom =x[/tex]
Required
Find x
Since both polygons are similar, then:
[tex]Ratio = Top:Bottom[/tex]
For the first:
[tex]Ratio = 12:5[/tex]
For the second
[tex]Ratio = 48:x[/tex]
Equate both ratios
[tex]12:5 = 48:x[/tex]
Express as fraction
[tex]\frac{12}{5} = \frac{48}{x}[/tex]
Cross Multiply
[tex]12 * x = 48 * 5[/tex]
Solve for x
[tex]x = \frac{48 * 5}{12}[/tex]
[tex]x = \frac{240}{12}[/tex]
[tex]x = 20[/tex]
PLEASE HELP ASAP, GIVING BRAINLIEST TO CORRECT ANSWER
The vertices of parallelogram ABCD are (2,4), B(0, 0), C(6,2), and D(8, 6). Find the coordinates of the intersection of the diagonals.
Answer:
I believe it would be 4,3 not sure though
Step-by-step explanation:
Answer:
The answer would be 4,3
Step-by-step explanation:
Graph the points on a graphing calculator, that should help when you need to find diagonals
Classify the triangle 3 8 12
Triangles are similar Find the value of x.
Please i need help Thank you in advanced
28 1/3
Step-by-step explanation:
The scale factor is 5/3
Multiply 17 by 5/3.
28 1/3
Answer:
x=28.33 or 28 1/3
Step-by-step explanation:
12/17=20/x
12x=340
x=28.33
hi help again lol :)
Answer:
Please mark brainleiest
Step-by-step explanation:
Answer is B
Step-by-step explanation:
B if you divided all the y values by x you will get 0.9
Jon deposits $2000 into his account and pays at a rate of 4% per year. how much will he be paid in 3 years
the answer is 240
because 4% of 2000 is 80 so you just times 80 by 3 then you get 240
please help and quick cause im giving a lot of points
Answer: it might be C let me know if im wrong
Step-by-step explanation:
Determine if the two triangles are congruent.
Answer:
sas
Step-by-step explanation:
vertical angle stuffs
Please help me! 20 points!
Enter your answer and show all the steps that you use to solve this problem in the space provided.
simplify
(in attachment)
Answer:
12 1/4 or (Decimal: 12.25)
Step-by-step explanation:
(3 1/2) (3 1/2)
= 7/2 (3 1/2)
= 7/2 (7/2)
= 49/4
= 12 1/4
I hope I helped you!!
Step-by-step explanation:
When we multiplying, we find the sum of the exponents so
[tex]3 {}^{ \frac{1}{2} } \times 3 {}^{ \frac{1}{2} } \\ {3}^{ \frac{1}{2} + \frac{1}{2} } \\ = {3}^{ \frac{2}{2} } \\ = 3[/tex]
It is 42 1/2 miles from Eaton to Baxter, and 37 4/5 miles from Baxter to Wellington. How far is it from Eaton to Wellington, if you go by way of Baxter?
[tex]42 \frac{1}{2} + 37 \frac{4}{5} [/tex]
[tex]42 \frac{5}{10} + 37 \frac{8}{10} [/tex]
[tex] \frac{5}{10} + \frac{8}{10} = \frac{13}{10} = 1 \frac{3}{10} [/tex]
[tex]79 + 1 \frac{3}{10} = 80 \frac{3}{10} [/tex]
[tex]80 \frac{3}{10} \: \:miles \: or \: 80.3 \: miles[/tex]
//
Just double check that I did the right calculations
Great now I need help with another math problem!! Someone pls help me!!
Answer:
option c.............
Answer:
option c............
Step-by-step explanation:
y = 4x
9. Which points are on the graph with the equation -6x + y = 6. Select all that apply.
A. (0,6)
B. (6,2)
C (-1,0)
D. (-2, 3)
Please answer
This would be your answer!
Write a similarly comparing the three triangles in the diagram
Answer:
ΔBCE similar to ΔECD similar toΔBED
Step-by-step explanation:
ΔBCE similar to ΔECD similar toΔBED
bob has at least $5000 in savings. his savings balance is more than 3 times greater than his checking balance
Answer:
so then it to be 25000
Step-by-step explanation:
10 points possible. answer everything completely and I will mark brainliest
Answer: A is a function. B is not a function. C is a function. D is not a function. E is not a function. F is not a function. G is a function. H is a function. I is not a function.
Step-by-step explanation:
Three students in a painting class made green paint by mixing blue and yellow paint. The table below shows the comparison of ounces of blue paint to ounces of yellow paint that each student mixed. Whose green paint mixture has a yellow-to-blue unit rate of 6 ounces to 1 ounce?
Answer:
Clara
Step-by-step explanation:
Evaluate the expression
[tex](3-1)^{3} +7(6)-5^{2}[/tex]
Step-by-step explanation:
(3-1)³ = (3³-1³)
= 27-1
=26
7(6) = 42
5² = 25
(3-1)³ + 7(6) - 5² = 26 + 42 -25
= 43
What about the other way up the mountain though, this car park starts at 191m with a total ascent metres of 1,000(100 Contour lines). And the distance to the top is shorter at 4km. So leaving at 11am, what time would you be expected to get to the café with no breaks? Walking pace, 3km per hour.*
Answer:
3
Step-by-step explanation:
O
What is the slope of the line passing through the points (4,-2) and (-5, 4)?
-3/2
-2/3
3/2
2/3
Answer:
B.) -⅔
Step-by-step explanation:
Subtract each variable
y¹-y
x¹-x
-2-4 = -6
4-(-5) = 9 -6/9 = -⅔
Please answer will give brainlyest! :D
Let's just ignore memorizing any formulas for perimeters of a rectangle and just remember this!!
The opposite sides are the same right? and there are 2 pairs? that's why we just need to find one side in each pair and multiply the sum of them by 2!
Here we already know what 2 of the sides are! Therefore we find the sum.
((5/4)x+3)+3x-2= (17/4)x+1
Then we need to multiply this sum by 2
((17/4)x+1)*2=(17/2)*x+2
*Note I left the result as a fraction not a mixed number because this is how you are suppose to write it in higher math but if your teacher wants you to convert it into a mixed number, then go ahead!
Hope this helped!!
Answer:
P = (8.5x + 2)Step-by-step explanation:
Given
l = (5/4x + 3) and w = (3x - 2)Find the perimeter
P = 2(l + w)P = 2(5/4x + 3 + 3x - 2) = 2(17/4x + 1) = 17/2x + 2 = 8.5x + 2Max ran 3 1/3 mile yesterday and 2 1/3 miles today. How far did max run in all?
Answer: 5 2/6
Step-by-step explanation:
Answer:
5 2/3
Step-by-step explanation:
3 1/3 + 2 1/3
10/3 + 7/3
= 17/3
= 5 2/3
I hope I helped!!
Simplify (3xy3141x?). Use ^ when identifying your exponents
My solution is:
??
Answer:
3x^2y^3141
Step-by-step explanation: