Answer:
a) [tex]\vec{F_{c}}=mR\omega^{2}[/tex]
[tex]\vec{F_{c}}=9.53 \: N \vec{r}[/tex]
b) [tex]|\vec{F_{c}}|=9.53 \: N [/tex]
Step-by-step explanation:
a) The centripetal force equation is:
[tex]\vec{F_{c}}=m\vec{a_{c}}[/tex]
[tex]\vec{F_{c}}=mR\omega^{2}[/tex]
Now, we know that the body makes one revolution every 5 seconds, so we can find the angular velocity:
[tex]\omega=\frac{1 rev}{5 s}=0.2\: \frac{rev}{s}=1.26\: \frac{rad}{s}[/tex]
[tex]\vec{F_{c}}=2*3*1.26^{2}=9.53 \: N \vec{r}[/tex]
The centripetal force is a vector in the radius direction.
b) The magnitude of that force will be:
[tex]|\vec{F_{c}}|=9.53 \: N [/tex]
The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 3 to 2. If there were 1833 yes votes, what was the total
number of votes?
Answer: 1,222
Step-by-step explanation:
I would set this up as a fraction
3/2=1833/x
I would divide 1833 by 3 to see what the multiple is that would be used to find the equivalent fraction. Then multiply that number by 2 to solve for x.
Another option is to cross multiply
3x=2(1833)
1833*2=3666
Divide 3x by 3 to get x alone
Divide 3666 by 3 to get answer
1222
Lydia invested $8,300 in an account paying an interest rate of 2.2% compounded
daily. Assuming no deposits or withdrawals are made, how long would it take, to the
nearest tenth of a year, for the value of the account to reach $12,690?
Number of years taken to reach the amount of $12,690 is 5 days,
What is Compound interest?Compound interest is the interest which is calculated on both the initial principal and the accumulated interest from previous periods. It can be easily understood as interest on interest.
[tex]A= P(1+\frac{r}{n})} ^{nt}[/tex]
Principal amount invested by Lydia = $8,300
Rate of compound interest per day =2.2%
To find the number of years that have taken to reach the amount value of $12,690 .
By using compound interest formula,
[tex]A= P(1+\frac{r}{n})} ^{nt}[/tex]
[tex]12690 = 8300(1+ \frac{2.2}{365})^(365*t)[/tex]
[tex]\frac{12690}{8300}=(1.000060274)^{365*t}[/tex]
Taking log on both sides, we get,
log(1.5289156627) =365*t log(1.000060274)
log(1.5289156627)/log(1.000060274)= 365*t/log(1.000060274)⇒
0.184383 - 0.00002618= 365*t
⇒1843.5 =365*t
⇒t=5 days.
Hence, number of years taken to reach the amount of $12,690 is 5 days,
Learn more about compound interest here:
https://brainly.com/question/3989769
#SPJ1
Michael deposits $900 in a savings account
that pays 6.4% interest. What is the balance in
his account at the end of 3 years?
Answer:
$1084.10
Step-by-step explanation:
the question is in the picture, pls help quick
Answer:
please search it up bc i dont know the answer
Step-by-step explanation:
what is 12 more than m
Jim is planning to take some classes at the community college. Tuition is $110 per credit,
plus $60 in fees. Jim has saved $1050 to take classes. How many credits can Jim afford to
take with the money he saved?
100 points and brainly please help find vertical and horizontal asymptotes (must show work)
f(x) = 2x2+4/x^2 +5x+6
Answer:
It would be very hard to graph this equation correctly as without factoring both the numerator and denominator it would be hard to account for all of the information.
x2−5x+6x2−2x−3x−6(x−2)(x−3)
Step-by-step explanation:
Answer:
Step-by-step explanation:
Note that you need to use parentheses around the numerator and around the denominator: f(x) = (2x^2+4)/(x^2+5x+6)
Division by zero is undefined, so x≠-2 and x≠-3.
Vertical asymptotes: x=-2, and x=-3
As x approaches ∞, f(x) approaches 2.
As x approaches -∞, f(x) approaches 2.
Horizontal asymptote: y=2
starts with 6 cards gets 2 cards every month how many will you have after 24 months
Answer:
the answer is 54 cards . . .....
Jeremiah will give all of his sports cards to a number of friends what is the greatest number of friends he can give his cards to so that each friend will receive an equal number of baseball cards and football cards? 4 8 12 or 16 32 baseball 24 football
Answer:
6 is the greatest answer
Step-by-step explanation:
24÷4=6
The greatest number of friends he can give his cards to so that each friend will receive an equal number of baseball cards and football cards is 6
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Jeremiah will give all of his sports cards to a number of friends. the greater number will be calculated as,
Number = 24÷4=6
Therefore, the value of the greatest number will be 6.
To know more about an expression follow
https://brainly.com/question/30124895
#SPJ5
Jenna painted l 1/8 of one side of a fence. Mark 3 one the other side of the same sex use greater equal or less to compare of the parts that they painted.
Answer:
?????
Step-by-step explanation:
What is the solution of the equation 13 + b = 37?
b=
Answer:
13 + 24 = 37 the answer is 24
Step-by-step explanation:
Answer: 24
Step-by-step explanation: 37-13= 24
1 3/4+1/6+____=7 1/2
Plz help
Answer:
7/4 +1/6 +X=15/2
1/6+X=15/2-7/4
1/6+X=30/4-7/4
X=23/4 - 1/6
X= 138-4/24
134/24
5.58333
Step-by-step explanation:
Answer:
6 4/12
Step-by-step explanation:
1 3/ 12+ 1/12 + 6 2/12 = 7 6/12 or 7 1/2
What is sum of the vectors, LeftAngleBracket 4, negative 5 RightAngleBracket and LeftAngleBracket 10, 2 RightAngleBracket?
ANSWER: B
14,-3
Answer:
14,-3
Step-by-step explanation:
Answer:
14, -3
Step-by-step explanation:
I got it right edg 2023
Look at this sequence starting with the FIRST TERM:
(a) 3, 7, 11, 15...
A Geometric
B Arithmetic
What is the rate of change?
(c) The Recursive Equation is:
Answer:
B.Arithmetic
Step-by-step explanation:
because the terms have a first common difference
the rate of change is 4
# 1 What is the area of the trapezoid
with the following dimensions:
b1= 5 in
b2= 2 in
h= 7in
Answer:
24.5 inches
Step-by-step explanation:
area of trapezoid: (b1 + b2 /2) h
About how many classmates was Marco able to interview in the beginning of the week
Masha bought 24 snickers, 56 kit kats and 96 twixies to make identical goody bags with the same number of snickers twixies and kit kats. What is the largest number of identical goody bags masha can make if she wants to use all the candies
Answer:
it is 24
Step-by-step explanation:
Help ASAP!! I’m confused and need help. Thanks!!
30 PTS
Please make sure its easy to understand
Answer:
explanation:
Step-by-step explanation:
1: Well, of course since you’re going below sea level, the number is gonna be negative. so you’re gonna take -240 + -12. which is -252. but then you’re gonna take the -252 and add POSITIVE 80. so now if you take -252 + 80 you get -172. so the diver is 172 meters below the surface
2: -127.1
3: The highest temperature is POSITIVE 110°F. But since the lowest one is NEGATIVE 34°F, you’re gonna want to take 110 - 110 to get 0, then go 34 less than 0. so 110 + 34 is 144. so the difference is 144°
. Find all values of x that will make ∠A an obtuse angle given
m∠A = 12x - 6
Answer:
(8, 15]
Step-by-step explanation:
If ∠A is bigger than 90 then that means 12x-6 > 90
12x > 96
x > 8
and we know that the angle must be between 0 and 180. so 12x < 186
x <= 15
Simplify: this please
Answer:
[tex]16\sqrt{3}[/tex], so therefore:
none of the above
Helpppp pleaseeeeeeeeeeeeeee
Answer:
Step-by-step explanation: C %100
Answer:
I believe it is d but don't quote me on it
Aimee can read 24 pages in 40 minutes. How many pages per hour can Aimee read?
A) 0.6 pages per hour
B) 36 pages per hour
C) 48 pages per hour
D) 60 pages per hour
in which graph is y a linear function of x will mark brainiest
Answer:
I think it is d
Step-by-step explanation:
hope this helps
42 -3²= 2x
(42-9)/2= x
35/2=x
17.5=x
4) Line L has equation y = 4x - 7, and line M is parallel to line L and passes through the point (2,15). Determine the equation of line M. A) y = 4x + 7 B) y = 2x + 7 ©). y = 4x + 15 D) y = 2x + 15
Answer:
the answer is A.y=4x+7
Step-by-step explanation:
Line M is parallel to the line L, so the equation for line M isy=4x+b
Plug in the coordinates of the point (2,15) , you get:
15=4*2+b
Solve that to get b=7
Therefore the equation of line M is y=4x+7
plz help me brainlest for first person to answer
Step-by-step explanation:
Given
Radius (r) = 3 inch
Circumference
= 2πr
= 2 * 3.14 * 3
= 18.84 inch
Now
Area
= π r²
= 3.14 * 3 ²
= 3.14 * 9
= 28.26 inch²
Hope it will help :)
HI there I would Love some help! Thanks!
Step-by-step explanation:
So,
This should be the format from left to right-
-2.76, -2.57, -2.5, -1.85, -1.58, 2.5, 2.85
Find the missing length in the right triangle.
PLEASE HELP ILL GIVE BRAINLIEST AND SO MUCH MORE!!!!
Find the measurement of WOV. Which angle relashionship doyou use?
Answer:
60 degrees
Step-by-step explanation:
90 digress minus 30 degrees will be 60 degrees
