[Calculus] find average velocity given position of particle. Show steps, please!
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!
What calculation is modeled on the number line?
Answer ASAP will give brainliest 55 points too plzz
the correct answer is c !! hope this helps
The table below shows the number of tea bags needed to make different amounts of iced tea. What is the total number of quarts of iced tea that can be made with 24 tea bags?
Answer:
6
Step-by-step explanation:
Search it up.
For 24 Tea bags 6 quarts of iced tea that can be made.
What is Proportion?In general, the term "proportion" refers to a part, share, or amount that is compared to a total.
According to the concept of proportion, two ratios are in proportion when they are equal.
A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.
Given:
We have the Table,
With 8 tea bags, 2 Quartz of Iced Tea made.
As, there is proportionality between two values.
So, 16 / 4= 24 / x
4 = 24 / x
x = 24/4
x= 6
Hence, For 24 Tea bags 6 quarts of iced tea that can be made.
Learn more about proportion here:
https://brainly.com/question/26974513
#SPJ2
Need help ASAP will give brainliest
Answer:
last one I'm pretty sure
Is 145% a rational or irrational number
Answer: 145 is a rational number because it can be expressed as the quotient of two integers: 145 ÷ 1.
Step-by-step explanation:
Chandra uses 1/4 ounce of fish food to feed 5 goldfish. What is the unit rate in ounces of fish food per goldfish?
Answer:
1/20
Step-by-step explanation:
Suppose you like to keep a jar of change on your desk. Currently, the jar contains the following: 18 Pennies13 Dimes 18 Nickels13 Quarters What is the probability that you reach into the jar and randomly grab a nickel and then, without replacement, another nickel
Answer:
[tex]P(Nickel\ and\ Nickel) = 0.08091[/tex]
Step-by-step explanation:
Given
[tex]Pennies = 18[/tex]
[tex]Dimes = 13[/tex]
[tex]Nickels = 18[/tex]
[tex]Quarters = 13[/tex]
Required
Probability of selecting 2 nickels without replacement
This can be represented as: [tex]P(Nickel\ and\ Nickel)[/tex]
The solution is as follows
[tex]P(Nickel\ and\ Nickel) = \frac{Nickel}{Total}*\frac{Nickel-1}{Total-1}[/tex]
The second nickel is reduced by 1 because the first nickel was not replaced and this also reduces the total by 1
So, we have:
[tex]P(Nickel\ and\ Nickel) = \frac{18}{62}*\frac{18-1}{62-1}[/tex]
[tex]P(Nickel\ and\ Nickel) = \frac{18}{62}*\frac{17}{61}[/tex]
[tex]P(Nickel\ and\ Nickel) = \frac{18*17}{62*61}[/tex]
[tex]P(Nickel\ and\ Nickel) = \frac{306}{3782}[/tex]
[tex]P(Nickel\ and\ Nickel) = 0.08091[/tex]
how do i get rid of the stupld
Answer:
wdym get rid of the "stupld"
Step-by-step explanation:
Answer:
Study, ask teachers questions, email, use this app, etc.
Step-by-step explanation:
If you study for a test/exam. Look over the study guide and recite it for 20 minutes and take a 10 minute break. Then pretend you're explaining the subject to someone for 20 minutes and take a 10 minute break. Then go over the study guide again and see if you missed anything while explaining and then explain it again but this time with the things you missed. Repeat if necessary. Flashcards on quizlet n stuff can help too.
The number is halfway between 1/5 and 14/15
Answer:
17/30
Explanation:
m a t h
PS:
Can I have brainliest?
ANSWER:
4
___
15
STEP BY STEP:
What is
-2 + (-5) =
And please explain bc I don’t get it
Answer:
Step-by-step explanation:
(-2) + (-5) = (-7)
In integer addition, if two numbers are negative, then add the two numbers and the put the negative sign for the result
If a bus travels at 48MPH how long will it take to be able to travel 60 miles
BONUS QUESTION
What is the "product" of 20 and 5? *
92.37 ______ 9.237 * (>, , <, =)
The fraction 2/3 is equivalent to 6/9. *
Name an example of an IMPROPER fraction. *
Guys pls i beg i would HIGHLY APPRECIATE IF YOU ANSWER ALL OF ThEM PlEaSe :(
Answer:
Here you go
Step-by-step explanation:
1. 100
2. >
3. true
4. [tex]\frac{7}{3}[/tex]
I am super confused
.....................
Answer:
B is the answer
Step-by-step explanation:
Choose correct way to write three dollars and seventeen cents using the dollar symbol.
Answer:
$3.17
Step-by-step explanation:
Pls I need the answer
Answer:
13/200
Step-by-step explanation:
so we grab the fraction:
6 1/2%
make it a decimal instead of a fraction
6.5%
divide it by 100 to get
6.5/100
and multiply it by 2 because decimals have no place inside fractions lol
13/200
Please help me
OWO...........
Answer:
1. D
2. Is A $0.87 for each song
Step-by-step explanation:
12 x $0.87 = $10.44
$10.44 + $5.04 = $15.48
I hope this helped you
Mary is making a birthday cake to surprise her mom. She needs 3 1/2 cups of flour, but she only has 1/3 cup. How much more flour does she need?
Answer:
3 1/6 cups more
Step-by-step explanation:
Answer:
3 1/2 = 7/2 (write as a mixed number)
7/2 - 1/3 = ?( you need more flour, so subtract what you have from what you need. to subtract you need to find the least common denominator)
21/6 - 2/6
19/6 cups of flour is what you need.
or 3 1/6 cup if it needs to be converted back into a mixed fraction
Step-by-step explanation:
due today Solve the equation.
17n=−4
Answer:
n = -4/17
Step-by-step explanation:
Divide both sides of the equation by the same term
Solve the following equation algebraically: 5x2 = 60
a. x~ +3 46
b. x~3.46
c. x = 12
d. X = +12
Answer:
x = 3.46
Step-by-step explanation:
In this question, you have to solve the equation.
Solve:
5x² = 60
Divide both sides by 5.
x² = 12
In order to eliminate the exponent, you would square root both sides.
√x² = √12
x = √12
√12 = 3.4641..
x = 3.46
Your final answer would be x = 3.46
law of cosines
please show your work :)
Will mark as brainlest
Answer:
33.9
Step-by-step explanation:
cos rule:
a²=b²+c²-2xaxbxcosA
rearrange:
cosA=(b²+c²-a²)÷(2xaxb)
solve:
cosx=(8²+22²-16²)÷(2x8x22)
cosx=(64+484-256)÷352
cosx=292÷352
cosx=0.830
cos^-1(shift cos)=33.9
in desperate need of help for this question
Answer: Do you wanna go out with me
Step-by-step explanation:
Twins Isaac and Isaiah were just born. Isaac weighs 6 pounds 2 ounces and Isaiah weighs 5 pounds 4 ounces. How many ounces do Isaac and Isaiah weigh together?
Pls help urgently extra points and mark brainlist
Answer:
The one with the 2 and the 6 up in the right corner....
Step-by-step explanation:
Practice using graphs of equivalent ratios. On a coordinate plane, point (2, 3) is plotted.A 2-column table with 3 rows. Column 1 is labeled x with entries 2, blank, blank. Column 2 is labeled y with entries 3, blank, blank. The table shows one point from the given graph. How could you find more ordered pairs to create a graph and table of equivalent fractions? Check all that apply. Include the point (0, 0), which is on every graph of equivalent ratios. Multiply both 2 and 3 by 4. Multiply 2 by 2 and 3 by 3. Start at the point on the grid. Move right 2 and up 3 and plot the point. Multiply 2 by 3 and 3 by 2.
Answer:
2
Step-by-step explanation:
if you multiply 2 by 3=6
2×2=43×3=9Answer:
B: Using the table,multiply 2 and 1 both by 3
Step-by-step explanation:
Just took the quiz on Edge 2021
find the length of the unknown side. round to the nearest tenth
An integer can be positive, negative, or _____. opposite zero equivalent
Answer:
Zero is nor a positive or negative number, so im guessing the answer is 0.
Step-by-step explanation:
2.-7(4 - X) *
(1 Point)
-28 + 7x
4- 7x
28 - 7x
Answer:
-28 + 7x
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyStep-by-step explanation:
Step 1: Define
-7(4 - x)
Step 2: Simplify
Distribute -7: -7(4) - 7(-x)Multiply: -28 + 7xA sports store marks up t shirts it sells by 60% if the store bought a t shirt for 6.25 what will be the retail price
Answer:
I believe its 3.75
Step-by-step explanation:
Answer:
$10
Step-by-step explanation:
6.25×60% = 3.75
3.75+6.25 = 10
$10
Determine which car gets the better gas mileage. Car A: Distance (miles) 400 Gallons used: 12 Car B: Distance (miles) 440 Gallons used: 15
So on one galon of gas car A would travel 33 1/3 miles, while car B would travel 29 1/3 miles. Answer: Car A
A: 400 / 12 = 33 1/3
B: 440 / 15 = 29 1/3
Pleaseee helppp with this I need it fastttt!!!!!