Amy purchased a brand–new mountain bike, which she's riding through the winding trails. The bike's displacement is given by
s(t) = t3 − 2t2 + 3. What is the bike's acceleration after three minutes?
Answers
Answer:
a = 14 m/min²
Step-by-step explanation:
The displacement of bike is given by :
[tex]s(t)=t^3-2t^2+3[/tex]
Velocity, [tex]v=\dfrac{ds(t)}{dt}[/tex]
Finding velocity of the bike.
[tex]v=\dfrac{d}{dt}(t^3-2t^2+3)\\\\=3t^2-4t[/tex]
Acceleration, [tex]a=\dfrac{dv(t)}{dt}[/tex]
[tex]a=\dfrac{d}{dt}(3t^2-4t)\\\\=6t-4[/tex]
At t = 3 minutes,
a = 6(3) - 4
= 18-4
= 14 m/min²
So, the bike's acceleration after 3 minutes is 14 m/min².
Related Questions
-8/5x -6 equals -54. what is x
Answers
Answer:
30
Step-by-step explanation:
......................
Gabrielle is 12 years younger than Mikhail. The sum of their ages is 76 . What is Mikhail's age?
Answers
Answer:
48 years old
Step-by-step explanation:
Let x = Mikhail's age
then x-15 = Gabrielle's age
x + x-15 = 81
2x-15 = 81
2x = 96
x = 48 years old
Answer:
44
Step-by-step explanation:
x+(x-12)=76
2x-12=76
2x=76+12
2x=88
x=88/2
x=44
What is the value of an investment of $650 invested at an annual interest rate of 1.5% compounded monthly for 16 years?
Answers
Answer:
it should be 650
=
1.5
%
=
0.015
16
y
e
a
r
s
=
0.015
Step-by-step explanation:
In the equation of a straight line, y = mx + c. what does the 'c' represents
Answers
Answer:
Equations of straight lines are in the form y = mx + c (m and c are numbers). m is the gradient of the line and c is the y-intercept (where the graph crosses the y-axis).
In the equation of a straight line, y = mx + c. what does the 'c' represents?
Equations of straight lines are in the form y = mx + c (m and c are numbers). "m" is the gradient of the line and "c" is the y-intercept (where the graph crosses the y-axis).
Nathan buys coffee and hot chocolate for his co-workers. Each cup of coffee costs $1.55 and each cup of hot chocolate costs $1.05. If he pays a total of $9.35 for 7 cups, how many of each does he buy?
Answers
Answer:
he buys 6.78
Step-by-step explanation:
⚠️ANSWER NEEDED QUICK, SHOW WORK TOO⚠️
Answers
Answer:
28+28=56 so 28 and 28 and the bottom will be 56
-3g = 9 what does g =
Answers
Answer:
g=-3
Step-by-step explanation:
-3g=9
divide through by-3
g=9/-3
g=-3
Answer:
Step-by-step explanation:
Here you go mate
Step 1
-3g=9 Equation/Question
Step 2
-3g=9 Simplify
-3g=9
Step 3
-3g =9 Divide by 3
answer
-3
Hope this helps
write the expression as a product of the to factors: 6m+ 8n+ 4
Answers
Answer:
No answer do u today
Step-by-step explanation:
Lol
H hi ha job un hi is ihnihniuniunihn como te quiero
A square gate has a brace 3.5 feet long.
Approximately how wide is the gate?
F. 2.0 feet
3.5 ft
G. 2.5 feet
H. 4.9 feet
J. 6.1 feet
Answer
Answers
Answer:
h
Step-by-step explanation:
ima cry brainliest giving it out
Stefanie has 18 grams of 20% sugar syrup and john 30 of 25% if Stefanie and john mix the syrups together how many grams of sugar will they have?
Answers
Answer:
23.1%
Step-by-step explanation:
11/48=0.23125
Round up for percent.
0.231x100=23.1
23.1%
Jennifer spent $100 at the mall, during tax free weekend.
She purchased a pair of jeans for $55. She bought (2) t-shirts for $20. Jennifer paid $25 for a new cell-phone case.
What percentage of Jennifer's money was spent on the jeans and t-shirts?
A.75% B.80% C.70 D.55% pls hurry.
Answers
Answer:
A
Step-by-step explanation:
55+20=75 and the other percentage is 25
Using a computer or calculator that provides proportions falling below a specified z-score, determine the approximate proportion for each of the following situations. In each case, assume the values are approximately bell-shaped. (Round your proportions to four decimal places.) A button hyperlink to the SALT program that reads: Use SALT. (a) The proportion of SAT scores falling below 420 for a group with a mean of 500 and a standard deviation of 100. -0.8 Correct: Your answer is correct. (z-score) (approximate proportion)
Answers
Answer: uhhhh what
Step-by-step explanation:
Help plz:)))I’ll mark u Brainliest
Answers
Answer:
Scale factor = 1.5
Step-by-step explanation:
Formula for the scale factor,
Scale factor = [tex]\frac{\text{Measure of one side of the Image}}{\text{Measure of one side of the preimage}}[/tex]
In this question, image is triangle Y and preimage is triangle X.
Scale factor of X to Y = [tex]\frac{15}{10}[/tex]
= 1.5
Therefore, scale factor = 1.5 is the answer.
Estimate the product
A)Close to 40
B)Close to 004
C)Close to 0.4
D)Close to 4
Answers
Answer:
D) Close to 4
Step-by-step explanation:
Round both numbers and multiply them.
Destiny draws a circle with radius 14 centimeters. What is the circumference of Destiny's circle? Write your answers using pi. Show your work.
Answers
Answer: 87.92cm
Step-by-step explanation:
The radius is 14, you need to find the diameter(multiplied by 2) which is (14x2) or 28 . Next Multiply 28 by pi or 3.14.
3.14x28 = 87.92
The circumference of the circle is 87.92 cm
Write an equivalent expression in standa
form and collect like terms.
2x - (x + 8) - 4
Answers
explaination:
2x-(x+8)-4
first, distribute the negative to x and 8
2x-x-8-4
then collect like terms (2x-x) then (-8-4)
2x-x= x and -8-4= -12 therefore the answer is
x-12.
hope this helps!
How should the subject-verb agreement in this sentence be changed, if at all?
Neither the bus nor the trains was running today.
A.was ran B.is run C.no change D.were running
Answers
help ....................................................
Answers
Answer:
i think it's the subtraction one
Step-by-step explanation:
because if you find out what b is maybe you will get 2 1/2
_____indicates the level
of uncertainty that people can
tolerate to work efficiently without
experiencing undue stress
Select one:
a. Tolerance for ambiguity
b. Risk propensity
c. Workahollism
d. Authoritaritznism
= Tolerance for ambiguity
Answers
Step-by-step explanation:
indicates the level
of uncertainty that people can
tolerate to work efficiently without
experiencing undue stress
Use the following sets to answer the following:
Y: The set of yellow attribute pieces
H: The set of hexagonal attribute pieces
SY: The set of small yellow attribute pieces
SB: The set of small blue attribute pieces
L: The set of large attribute pieces
1. Which pairs of sets, if any, can be put into one-to-one correspondence?
2. Which pairs of sets, if any, are equal?
3. Which pairs of sets, if any, are disjoint?
4. Which set is a proper subset of another?
5. Which attribute pieces are in Y ∩ L?
6. Which attribute pieces are in Y UL?
Answers
Answer:
i have no clue
Step-by-step explanation:
tbh
I need the answer. Please hurry
Answers
⚠️PLEASE HELP⚠️
based on the graph, what the initial value of the linear relationship?
A. -4/5
B.0
C.4
D.5
Answers
Answer:
C. 4
Step-by-step explanation:
The question is asking for the y-intercept which is the point where x = 0.
(a + 1)(a + 2) = 0 solve quadratic equation by factoring
Answers
Answer: a^2+3a+2
Step-by-step explanation:
if you do the distribution method and do (a*a)+(a*2)+(1+a)+(1*2)=(a^2)+(2a)+(a)+(2)
which you get a^2+3a+2
Rearrange
c=5a2 – b
to make a the subject.
Answers
Answer:
5(a-b)=2c
so if there
so
If three pounds of bananas cost $4.50 find the cost of 10 pounds of bananas
Answers
Answer:
45
Step-by-step explanation:
4.50 × 10 =45!
.
.
.
.
.
.?
.
.
.
.
.
Answer:
$15
Step-by-step explanation:
$4.50 time 3 = $13.50 (9 lbs)
$4.50 divided by 3 = $1.50 (1 lb)
$1.50 plus $13.50 = $15
Helppppppppppppppppppppppp please
Answers
Answer:
A
Step-by-step explanation:
Two Squares
There are 2 squares at the top and bottom. All sides = 3
2* s^2
2 * 3^2
2 * 9
18
Middle Figure.
Triangles
There are many ways to solve this. I think the most easily understood is to break it into 2 triangles and a rectangle.
Base of both triangles = 5 + 5 = 10
The height of each triangle = (7 - 3)/2 = 4/2 = 2. You divide by 2 because there are 2 bases -- one in each triangle.
Area = 1/2 * 2 * 10 = 10
But there are 2 of them so the total area is 20
Rectangle
The length of the rectangle = 5 + 5 = 10
The width = 3
Area = 30
Total
Total Area = 2 squares + 2 triangles + 1 rectangle
Total Area = 18 + 20 + 30 = 68
six less than six times a number is 12
Answers
Answer:
x = 3
equation: 6x - 6 = 12
Step-by-step explanation:
6x - 6 = 12
aka:
6x + -6 = 12
+6. +6
6x = 18
/6. /6
x = 3
check: 6(3) - 6 = 12
18 - 6 = 12
12 = 12
6(3)-6= 12
18-6=12
12=12
The number is 3
How would the one-step equation 5s = 240 be solved?
Multiply one side by 5
Multiply both sides by 240
Divide both sides by 5
Divide one side by 5
Answers
Answer: Divide both sides by 5
Step-by-step explanation:
Help.
Determine the unknown values, R and W, in the figure below.
Answers
Answer:
W = 28.63
R = 15.59
Step-by-step explanation:
From the right triangle given in the picture,
By applying sine rule in the triangle,
sin(57°) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
= [tex]\frac{24}{W}[/tex]
W = [tex]\frac{24}{\text{sin}(57)}[/tex]
W = 28.63
Similarly, by tangent rule,
tan(57)° = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
1.54 = [tex]\frac{24}{R}[/tex]
R = [tex]\frac{24}{1.54}[/tex]
R = 15.59
What property would you use to find an equivalent expression for 8 + ( 7 + 9)?
Answers
Answer:
Associative Property
Step-by-step explanation:
I would use the Associative Property because it states that you can add any numbers together no matter how they are separated or grouped (with parentheses).Knowing what we said in step 1, here are some other ways you can write the expression given (they are written in the steps below)8 + 7 + 9(8 + 7) + 9(8 + 9) + 7I hope this helps!
Answer:
associative property using this question