[Calculus] find average velocity given position of particle. Show steps, please!
![[Calculus] Find Average Velocity Given Position Of Particle. Show Steps, Please!](https://brainimage.s3.us-east-005.backblazeb2.com/contents/attachments/aVv63ejqWRHuDoY2YgUUvzPpSH3JesPC.png)
Answers
Answer:
C
Step-by-step explanation:
Since we are given the position function, the average velocity will simply be the average slope of the position function.
We want to find the average velocity for time 0≤t≤3.
So, our endpoints are t = 0 and t = 3.
By substitution, the position of the particle at those times are:
[tex]x(0)=-5(0)^2=0\text{ and } \\\\ x(3)=-5(3)^2=-45[/tex]
So, we have the two points (0, 0) and (3, -45).
Then by the slope formula, we acquire that:
[tex]\displaystyle m=\frac{(-45)-(0)}{(3)-0}=\frac{-45}{3}=-15[/tex]
So, the average velocity of the particle is about -15.
This implies that the particle was mainly moving backwards for time 0≤t≤3.
Hence, our final answer is C.
*If you differentiated first and then did the steps above, then you found the average acceleration of the particle (in this case it stays constant), not the average velocity. Remember that the slope of the position graph is velocity, and the slope of the velocity graph is acceleration!
Related Questions
1. Who pays more money in taxes?
1)The middle class.
2)The more money you make, the more you pay in taxes.
3)The less money you make, the more you pay in taxes.
4) The poor.
Answers
Answer:
the answer is 2
Step-by-step explanation:
93 = 3(j − 64) help plz
Answers
Answer:
95
Step-by-step explanation:
Alex drove 372 miles on I-95 and used 12 gallons of gasoline. How many miles did Alex’s car travel per gallon of gasoline?
Answers
Answer:
372/12=31
31mpg
Step-by-step explanation:
Divide. Write your answer in scientific notation.
8 103
2 x 103
Answers
Answer: = 8.346296 × 106
Step-by-step explanation:
2) LaChina spherical glass decorative balls that she is filling with blue liquid to match the color of
her room. If there is 4,000 cubic inches of liquid to be poured into 20 glass spheres, what is the
diameter of each sphere? Round to two decimal.
Answers
Answer:
8000
Step-by-step explanation:
Katie's deli can make 60 sandwiches in 4 hours. Stacy's can make double that in the same amount of time. How many sandwiches can Stacy's deli make in 6 hours
Answers
Answer:
Step-by-step explanation:
Answer: 150 sandwhiches
Step-by-step explanation: 60 sandwhiches in 4 hours. 15 sandwhiches per hour so you add 30 to the doulbe of 60 which is 120 then you add 30
Choose Yes or No to tell if the decimal 0.43 will make each equation true.
103 × □ = 430
Choose...
101 × □ = 4.3
Choose...
104 × □ = 43,000
Choose...
102 × □ = 43
Choose...
Answers
Answer:
None will .
Step-by-step explanation:
103 × 0.43 = 44.29
101 × 0.43 = 43.43
104 × 0.43 = 44.72
102 × 0.43 = 48.86
y’all what is this evaluated ?
Answers
Answer:
sorry siso don't know the answer sorry ☹☹
Answer:
B = 200
Step-by-step explanation:
Cross multiply
10(20) = 200
Last week, Laura volunteered at the community clean-up event and earned 2 patches for her scout uniform. She spent 4 minutes sewing the patches onto her uniform. This week, Laura spent the week at the scout camp and earned another 6 patches.
If Laura sews at the same rate, how many minutes will she spend sewing her new patches onto her uniform?
Answers
Answer:
12
Step-by-step explanation:
let's say number of patches is x, and amount of time is y. the time per patch is k.
k * x = y
2 * k = 4
k = 2
2 * x = y
2 * 6 = 12
I NEED HELP WITH THIS GEOMETRY QUESTION PLEASE, IF YOU GET THE ANSWER CORRECT ILL MARK IT AS BRAINIEST , thanks in advance❤️!
Answers
Answer:
I think it is B (SSS congruence)
Step-by-step explanation:
you are only given the sides of the triangles not any of the angles
Answer:
D
Step-by-step explanation:
This I am pretty sure on.
The only side you can 100% say is similar is DE. since it is the same line.
The angles GDE and FDE are the same since there is a line divivding it in half.
All other answers use two or more sides, unless marked with a little dash, indicating that they are the same size, you really can't use those side.
Please answer question on picture above.
Answers
Answer:
d the last one i think.
Step-by-step explanation:
Hope this helps have a good day!
Which has the least value for 9? *
A. 1.95
B. 0.1039
C. 3.092
D. 2.009
Answers
Answer:
0.1039
Step-by-step explanation:
Obtain the place value of 9 in each value and choose the smallest :
1.95
9 is the first digit after the decimal point ; which is equal to 0.9 = tenth place
0.1039
9 is the 4th digit after the decimal point ; which is equal to 0.0009 = ten thousandth place
3.092
9 is the second digit after the decimal point ; which is equal to 0.09 = hundredth place
2.009
9 is the third digit after the decimal point ; which is equal to 0.009 = thousandth place
Hence the smallest value of 9 among the options given resides in 0.1039 (ten thousandth place).
Graph the function.
f(x)=−1/5x+4
Use the Line tool and select two points to graph.
Answers
Answer:
The coordinates are: (1,3.8), (2,3.6)
Now, plotting these points on graph as shown in figure.
Step-by-step explanation:
We need to graph the function: [tex]f(x)=-\frac{1}{5}x+4[/tex]
For drawing the graph, we need x and y coordinateness.
The can be found as following:
If we put x =1 in the given function, we will get:
[tex]f(x)=-\frac{1}{5}x+4\\Put\:x=1\\f(x)=-\frac{1}{5}(1)+4\\f(x)=-\frac{1}{5}+4\\f(x)=\frac{-1+4*5}{5}\\f(x)=\frac{-1+20}{5}\\f(x)=\frac{19}{5}\\f(x)=3.8[/tex]
So, we get when x =1 f(x) or y = 3.8
Now for finding second point, we put x =2 in the given function
[tex]f(x)=-\frac{1}{5}x+4\\Put\:x=2\\f(x)=-\frac{1}{5}(2)+4\\f(x)=-\frac{2}{5}+4\\f(x)=\frac{-2+4*5}{5}\\f(x)=\frac{-2+20}{5}\\f(x)=\frac{18}{5}\\f(x)=3.6[/tex]
So, we get when x =2 f(x) or y = 3.6
The coordinates are: (1,3.8), (2,3.6)
Now, plotting these points on graph as shown in figure.
You find 1 on x-axis and 3.8 on y-axis for first point (1,3.8)
Similarly You find 2 on x-axis and 3.6 on y-axis for second point (2,3.6)
There are 3 red, 2 blue, and 1 yellow marbles in a bag. Once a marble is selected, it is not replaced. Determine the probability. P(red and then yellow)
Answers
Answer:
The probability of drawing a red is 50% blue is 1/3 or 33.33% yellow is 1/6 or 16.66
Step-by-step explanation:
A serving size of oreo cookies is 3 cookies which is 20% of a box of cookies come ina a box
Answers
Answer:
tell us the rest of the questionnnnnnn
Step-by-step explanation:
y = -3x + 3
-3x - y = -6
Answers
Answer:
let it be equation 1 and 2
Step-by-step explanation:
-3x -(-3x+3) =-6
-3x +3x -3= -6
0x = -3
x = 0
y = -3(0) +3
y = 3
algebra 2!! please help im begging. i don’t understand this at all. thank you!
Answers
Answer:
Step-by-step explanation:
so the square root of 6 is the multipyed number of 8 plus 2 divided by9 is to times 8 plus 6
What is the scale factor of 9/10=21/x what is x
Answers
X=210/9
X=23.33........
Write the equation x2 + 6x + y2 – 8y = 19 in standard form.
Question 11 options:
1)
(x + 3)2 + (y – 4)2 = 44
2)
(x + 3)2 + (y – 4)2 =
3)
(x – 3)2 + (y – 4)2 =
4)
(x + 3)2 + (y + 4)2 = 44
Answers
Answer:
i think its 2
Step-by-step explanation:
The equation of x² + 6x + y² - 8y = 19 in standard form is (x + 3)² + ( y - 4)² = 44. Hence, Option A is the correct answer.
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
We have been given the equation as;
x² + 6x + y² - 8y = 19
We need to find the standard form of the equation.
Thus, we have,
(x² + 6x )+(y²- 8y) = 19
We shall complete the square for the term;
(x² + 6x + 9 - 9 ) + (y² + 4y + 16 - 16) = 19
Simplifying, we get,
(x² + 6x + 9) - 9 + (y²- 8y + 16) - 16 = 19
(x² + 6x + 9) - 9 + (y²- 8y + 16) - 16 = 19 + 9 + 16
Formula used :
x²+2xy+y² = (x+y)²
x²-2xy+y² = (x-y)²
Simplifying, we get,
(x + 3)² + ( y - 4)² = 44
Thus, the equation of x² + 6x + y² - 8y = 19 in standard form is (x + 3)² + ( y - 4)² = 44.
Hence, Option A is the correct answer.
Learn more about equations here;
https://brainly.com/question/10413253
#SPJ2
Someone please help ASAP
Answers
999 pencils cost \$7.74$7.74dollar sign, 7, point, 74.
Which equation would help determine the cost of 666 pencils?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
\dfrac{6}{x} = \dfrac{9}{\$7.74}
x
6
=
$7.74
9
start fraction, 6, divided by, x, end fraction, equals, start fraction, 9, divided by, dollar sign, 7, point, 74, end fraction
(Choice B)
B
\dfrac{x}{6} = \dfrac{9}{\$7.74}
6
x
=
$7.74
9
start fraction, x, divided by, 6, end fraction, equals, start fraction, 9, divided by, dollar sign, 7, point, 74, end fraction
(Choice C)
C
\dfrac{9}{6} = \dfrac{x}{\$7.74}
6
9
=
$7.74
x
start fraction, 9, divided by, 6, end fraction, equals, start fraction, x, divided by, dollar sign, 7, point, 74, end fraction
(Choice D)
D
\dfrac{6}{x} = \dfrac{\$7.74}{9}
x
6
=
9
$7.74
start fraction, 6, divided by, x, end fraction, equals, start fraction, dollar sign, 7, point, 74, divided by, 9, end fraction
(Choice E)
E
None of the above
Answers
Answer:
A= 6/x=9/$7.74
Step-by-step explanation:
Khan Academy
Solve.
X = -7
4x - 4y = 12
Submit
Answers
Answer:
Point Form:
( − 7 , − 10 )
Equation Form:
x = − 7, y = − 10
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Answer:
y = -10
Step-by-step explanation:
4x - 4y = 12
Substitute the x with -7, since it has been given.
4(-7) - 4y = 12
-28 - 4y = 12
Add 28 onto both sides
-28 + 28 - 4y = 12 + 28
-4y = 40
Divide by -4 to isolate the variable
-4y/-4 = 40/-4
y = - 10
Check:
Substitute the y and x
4x - 4y = 12
4(-7) - 4 ( -10 ) = 12
-28 + 40 = 12
12 = 12
or.....
try to see if x stays as -7
4x - 4y = 12
4x - 4 (-10) = 12
4x + 40 = 12
Subtract 40 onto both sides
4x + 40 - 40 = 12 - 40
4x = -28
Divide by 4 onto both sides to isolate the variable
4x/4 = -28/4
x = -7
And it's correct
Hope this helped!
2010
can
Regina had 30 meters of ribbon. She gave 2.7 meters of the ribbon to each
of her four friends and used the rest to tie some presents for her birthday
party. Each present required 75 centimeters of ribbon to tie. Find the
maximum number of presents Regina could tie.
Answers
Answer:
25 presents.
Step-by-step explanation:
First subtract 2.7(4) from 30.
30 - 2.7(4) = 19.2 meters
Now, convert 19.2 into centimeters.
There's 100cm in 1m, so 19.2 meters can be found by doing:
19.2 x 100 = 1920 cm.
Now, do 1920 divided by 75:
1920/75 = 25.6
Since you can't tie 0.6 of a present, you disregard that. So, she can tie 25 presents.
Given the expression 1/4 - 3/5, select the addition problem that is equivalent to it.
Answers
The answer and I will explain in the comment
The body of a dump truck is raised to empty a load of dirt. How high is the 10 inch body from the frame when it is tipped upward at 45 degrees
Answers
Answer:
7.071inches
Step-by-step explanation:
The set up is a right angled triangle
Given 'angle of elevation = 45 degrees
The length of the frame = 10in (hypotenuse)
Required
Height of the truck h (opposite)
Using the SOH trig identity
sin theta = opposite/hyp
sin 45 = h/10
h = 10sin45
h = 10(0.7071)
h = 7.071 in
Hence the height of the truck is 7.071inches
given that the line y/2 = x-p passes through the point ( -4 , 4 ) , then the value of " p " is ?
Answers
Answer:
-6
Step-by-step explanation:
Given,
(-4,4)=(x,y)
y/2=x-p
Substituting the value of(x,y) in the given line,
4/2= -4-p
or,2= -4-p
or,2+4= -p
or,-p= 6
hence,p = -6
A puzzle box has a height of 27 centimeters. It has a base with an area of 220 square centimeters. What is the volume, in cubic centimeters, of the puzzle box?
Answers
Answer:
5940 cm^3
Step-by-step explanation:
Step one:
given data
Height = 27 cm^3
Area= 220 cm^2
Required
the volume of the box
Step two:
the expression for volume is
V= Area* height
v= 220*27
V= 5940 cm^3
Help ASAP please. I’ll give you brainliest
Answers
Answer:
x= -83.4
830÷50= 16.6
17 coaches would be needed
£5,850
Answer:
x=1660
the value of 830÷50 is 16.6
it will take 5850 to hire 13 coaches
Write an algebraic expression for the phrase 6 times Z
Answers
Answer:
6z
Step-by-step explanation:
PLEASE HELP ME I NEED HELP PLEASE HELP
PLEASE GIVE THE ANSWER UNDER THE QUESTION AND RATIO
Answers
Answer:
6. 225 feet in 3 minutes = 75 feet in 1 minute (slower)
360 feet in 5 minutes = 72 feet in 1 minute
7. $4 for 5 ounces = $0.80 for 1 ounce (most expensive)
$14 for 20 ounces = $0.70 for 1 ounce
8. 72 people in 6 hours = 12 people in 1 hour
117 people in 9 hours = 13 people in 1 hour (greater rate per hour)
Answer:
A = 369 feet in 5 minutes B = $4 for 5 ounces C = 117 people in 9 hours
